0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n030.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:17:24 CST 2018
0.00/0.31	% done 125 iterations in 0.098s
0.00/0.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.31	% SZS output start Refutation
0.00/0.31	tff(complementT_lem, axiom,
0.00/0.31	  (complementT_lem <=>
0.00/0.31	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
0.00/0.31	tff('0', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1))
0.00/0.31	       | in(setminus(X1, X0), powerset(X1))
0.00/0.31	       | ~ complementT_lem),
0.00/0.31	    inference('cnf', [status(esa)], [complementT_lem])).
0.00/0.31	tff(doubleComplementEq, conjecture,
0.00/0.31	  (complementT_lem =>
0.00/0.31	   (setextT =>
0.00/0.31	    (doubleComplementI1 =>
0.00/0.31	     (doubleComplementE1 =>
0.00/0.31	      (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (complementT_lem =>
0.00/0.31	     (setextT =>
0.00/0.31	      (doubleComplementI1 =>
0.00/0.31	       (doubleComplementE1 =>
0.00/0.31	        (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X))))))))))).
0.00/0.31	tff('1', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('2', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1)) | in(setminus(X1, X0), powerset(X1)) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X0, X1]: (in(setminus(X1, X0), powerset(X1)) | ~ in(X0, powerset(X1))),
0.00/0.31	    inference('simplify', [status(thm)], ['2'])).
0.00/0.31	tff(setextT, axiom,
0.00/0.31	  (setextT <=>
0.00/0.31	   (![A,X]:
0.00/0.31	      (in(X,powerset(A)) =>
0.00/0.31	       (![Y]:
0.00/0.31	          (in(Y,powerset(A)) =>
0.00/0.31	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
0.00/0.31	            ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y))))))))).
0.00/0.31	tff(zf_stmt_1, axiom, (zip_tseitin0(Xx,Y,X) <=> (in(Xx,X) => in(Xx,Y)))).
0.00/0.31	tff('4', plain, ![X2, X3, X4]: (zip_tseitin0(X2, X4, X3) | in(X2, X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.31	tff(zf_stmt_2, axiom,
0.00/0.31	  (zip_tseitin1(Xx,Y,X,A) <=> (in(Xx,A) => zip_tseitin0(Xx,Y,X)))).
0.00/0.31	tff('5', plain,
0.00/0.31	    ![X2, X3, X4, X5]:
0.00/0.31	      (zip_tseitin1(X2, X4, X3, X5) | ~ zip_tseitin0(X2, X4, X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.31	tff(zf_stmt_3, axiom, (zip_tseitin2(Xx,Y,X) <=> (in(Xx,Y) => in(Xx,X)))).
0.00/0.31	tff('6', plain, ![X3, X4, X6]: (zip_tseitin2(X6, X4, X3) | in(X6, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.31	tff(zf_stmt_4, axiom,
0.00/0.31	  (zip_tseitin3(Xx,Y,X,A) <=> (in(Xx,A) => zip_tseitin2(Xx,Y,X)))).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X3, X4, X5, X6]:
0.00/0.31	      (zip_tseitin3(X6, X4, X3, X5) | ~ zip_tseitin2(X6, X4, X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.31	tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * $i) > $o).
0.00/0.31	tff(zf_stmt_6, type, zip_tseitin2 : ($i * $i * $i) > $o).
0.00/0.31	tff(zf_stmt_7, type, zip_tseitin1 : ($i * $i * $i * $i) > $o).
0.00/0.31	tff(zf_stmt_8, type, zip_tseitin0 : ($i * $i * $i) > $o).
0.00/0.31	tff(zf_stmt_9, axiom,
0.00/0.31	  (setextT <=>
0.00/0.31	   (![A,X]:
0.00/0.31	      (in(X,powerset(A)) =>
0.00/0.31	       (![Y]:
0.00/0.31	          (in(Y,powerset(A)) =>
0.00/0.31	           ((![Xx]: zip_tseitin1(Xx,Y,X,A)) =>
0.00/0.31	            ((![Xx]: zip_tseitin3(Xx,Y,X,A)) => (X = Y))))))))).
0.00/0.31	tff('8', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ in(X7, powerset(X8))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | X7 = X9
0.00/0.31	       | ~ zip_tseitin3(sk_Xx1(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | ~ in(X9, powerset(X8))
0.00/0.31	       | ~ setextT),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.31	tff('9', plain, setextT, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ in(X7, powerset(X8))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | X7 = X9
0.00/0.31	       | ~ zip_tseitin3(sk_Xx1(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | ~ in(X9, powerset(X8))
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['8', '9'])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ in(X9, powerset(X8))
0.00/0.31	       | ~ zip_tseitin3(sk_Xx1(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | X7 = X9
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X9, X7, X8), X9, X7, X8)
0.00/0.31	       | ~ in(X7, powerset(X8))),
0.00/0.31	    inference('simplify', [status(thm)], ['10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ zip_tseitin2(sk_Xx1(X2, X1, X0), X2, X1)
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
0.00/0.31	       | X1 = X2
0.00/0.31	       | ~ in(X2, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['7', '11'])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ in(X2, powerset(X0))
0.00/0.31	       | X1 = X2
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | ~ zip_tseitin2(sk_Xx1(X2, X1, X0), X2, X1)),
0.00/0.31	    inference('simplify', [status(thm)], ['12'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | in(sk_Xx1(X1, X0, X2), X1)
0.00/0.31	       | ~ in(X0, powerset(X2))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
0.00/0.31	       | X0 = X1
0.00/0.31	       | ~ in(X1, powerset(X2))),
0.00/0.31	    inference('sup-', [status(thm)], ['6', '13'])).
0.00/0.31	tff('15', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ in(X1, powerset(X2))
0.00/0.31	       | X0 = X1
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
0.00/0.31	       | ~ in(X0, powerset(X2))
0.00/0.31	       | in(sk_Xx1(X1, X0, X2), X1)),
0.00/0.31	    inference('simplify', [status(thm)], ['14'])).
0.00/0.31	tff('16', plain,
0.00/0.31	    ![X3, X4, X5, X6]: (zip_tseitin3(X6, X4, X3, X5) | in(X6, X5)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.31	tff('17', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | in(sk_Xx1(X2, X1, X0), X0)
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
0.00/0.31	       | X1 = X2
0.00/0.31	       | ~ in(X2, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['16', '11'])).
0.00/0.31	tff('18', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ in(X2, powerset(X0))
0.00/0.31	       | X1 = X2
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | in(sk_Xx1(X2, X1, X0), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['17'])).
0.00/0.31	tff(doubleComplementI1, axiom,
0.00/0.31	  (doubleComplementI1 <=>
0.00/0.31	   (![A,X]:
0.00/0.31	      (in(X,powerset(A)) =>
0.00/0.31	       (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X)))))))))).
0.00/0.31	tff('19', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ in(X12, powerset(X13))
0.00/0.31	       | ~ in(X14, X12)
0.00/0.31	       | in(X14, setminus(X13, setminus(X13, X12)))
0.00/0.31	       | ~ in(X14, X13)
0.00/0.31	       | ~ doubleComplementI1),
0.00/0.31	    inference('cnf', [status(esa)], [doubleComplementI1])).
0.00/0.31	tff('20', plain, doubleComplementI1,
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('21', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ in(X12, powerset(X13))
0.00/0.31	       | ~ in(X14, X12)
0.00/0.31	       | in(X14, setminus(X13, setminus(X13, X12)))
0.00/0.31	       | ~ in(X14, X13)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['19', '20'])).
0.00/0.31	tff('22', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ in(X14, X13)
0.00/0.31	       | in(X14, setminus(X13, setminus(X13, X12)))
0.00/0.31	       | ~ in(X14, X12)
0.00/0.31	       | ~ in(X12, powerset(X13))),
0.00/0.31	    inference('simplify', [status(thm)], ['21'])).
0.00/0.31	tff('23', plain, ![X3, X4, X6]: (zip_tseitin2(X6, X4, X3) | ~ in(X6, X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.31	tff('24', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(sk_Xx1(X1, X0, X2), X0)
0.00/0.31	       | ~ in(X0, powerset(X2))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
0.00/0.31	       | X0 = X1
0.00/0.31	       | ~ in(X1, powerset(X2))),
0.00/0.31	    inference('sup-', [status(thm)], ['23', '13'])).
0.00/0.31	tff('25', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ in(X1, powerset(X2))
0.00/0.31	       | X0 = X1
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
0.00/0.31	       | ~ in(X0, powerset(X2))
0.00/0.31	       | ~ in(sk_Xx1(X1, X0, X2), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['24'])).
0.00/0.31	tff('26', plain,
0.00/0.31	    ![X0, X1, X2, X3]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | ~ in(sk_Xx1(X3, setminus(X1, setminus(X1, X0)), X2), X0)
0.00/0.31	       | ~ in(sk_Xx1(X3, setminus(X1, setminus(X1, X0)), X2), X1)
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X2))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X3, setminus(X1, setminus(X1, X0)), X2), X3, 
0.00/0.31	             setminus(X1, setminus(X1, X0)), X2)
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X3
0.00/0.31	       | ~ in(X3, powerset(X2))),
0.00/0.31	    inference('sup-', [status(thm)], ['22', '25'])).
0.00/0.31	tff('27', plain,
0.00/0.31	    ![X0, X1, X2, X3]:
0.00/0.31	      (~ in(X3, powerset(X2))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X3
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X3, setminus(X1, setminus(X1, X0)), X2), X3, 
0.00/0.31	             setminus(X1, setminus(X1, X0)), X2)
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X2))
0.00/0.31	       | ~ in(sk_Xx1(X3, setminus(X1, setminus(X1, X0)), X2), X1)
0.00/0.31	       | ~ in(sk_Xx1(X3, setminus(X1, setminus(X1, X0)), X2), X0)
0.00/0.31	       | ~ in(X0, powerset(X1))),
0.00/0.31	    inference('simplify', [status(thm)], ['26'])).
0.00/0.31	tff('28', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, setminus(X0, setminus(X0, X1)), X0), X2, 
0.00/0.31	             setminus(X0, setminus(X0, X1)), X0)
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X2
0.00/0.31	       | ~ in(X2, powerset(X0))
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | ~ in(sk_Xx1(X2, setminus(X0, setminus(X0, X1)), X0), X1)
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, setminus(X0, setminus(X0, X1)), X0), X2, 
0.00/0.31	             setminus(X0, setminus(X0, X1)), X0)
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X2
0.00/0.31	       | ~ in(X2, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['18', '27'])).
0.00/0.31	tff('29', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ in(sk_Xx1(X2, setminus(X0, setminus(X0, X1)), X0), X1)
0.00/0.31	       | ~ in(X1, powerset(X0))
0.00/0.31	       | ~ in(X2, powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X2
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X2, setminus(X0, setminus(X0, X1)), X0), X2, 
0.00/0.31	             setminus(X0, setminus(X0, X1)), X0)
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['28'])).
0.00/0.31	tff('30', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0, 
0.00/0.31	             setminus(X1, setminus(X1, X0)), X1)
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0, 
0.00/0.31	             setminus(X1, setminus(X1, X0)), X1)
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | ~ in(X0, powerset(X1))),
0.00/0.31	    inference('sup-', [status(thm)], ['15', '29'])).
0.00/0.31	tff('31', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ zip_tseitin1(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0, 
0.00/0.31	             setminus(X1, setminus(X1, X0)), X1)
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))),
0.00/0.31	    inference('simplify', [status(thm)], ['30'])).
0.00/0.31	tff('32', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ zip_tseitin0(sk_Xx(X1, setminus(X0, setminus(X0, X1)), X0), X1, 
0.00/0.31	             setminus(X0, setminus(X0, X1)))
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(X1, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['5', '31'])).
0.00/0.31	tff('33', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X1, powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | ~ zip_tseitin0(sk_Xx(X1, setminus(X0, setminus(X0, X1)), X0), X1, 
0.00/0.31	             setminus(X0, setminus(X0, X1)))),
0.00/0.31	    inference('simplify', [status(thm)], ['32'])).
0.00/0.31	tff('34', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), 
0.00/0.31	           setminus(X1, setminus(X1, X0)))
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))),
0.00/0.31	    inference('sup-', [status(thm)], ['4', '33'])).
0.00/0.31	tff('35', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), 
0.00/0.31	           setminus(X1, setminus(X1, X0)))),
0.00/0.31	    inference('simplify', [status(thm)], ['34'])).
0.00/0.31	tff(doubleComplementE1, axiom,
0.00/0.31	  (doubleComplementE1 <=>
0.00/0.31	   (![A,X]:
0.00/0.31	      (in(X,powerset(A)) =>
0.00/0.31	       (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X)))))))).
0.00/0.31	tff('36', plain,
0.00/0.31	    ![X15, X16, X17]:
0.00/0.31	      (~ in(X15, powerset(X16))
0.00/0.31	       | ~ in(X17, setminus(X16, setminus(X16, X15)))
0.00/0.31	       | in(X17, X15)
0.00/0.31	       | ~ in(X17, X16)
0.00/0.31	       | ~ doubleComplementE1),
0.00/0.31	    inference('cnf', [status(esa)], [doubleComplementE1])).
0.00/0.31	tff('37', plain, doubleComplementE1,
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('38', plain,
0.00/0.31	    ![X15, X16, X17]:
0.00/0.31	      (~ in(X15, powerset(X16))
0.00/0.31	       | ~ in(X17, setminus(X16, setminus(X16, X15)))
0.00/0.31	       | in(X17, X15)
0.00/0.31	       | ~ in(X17, X16)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['36', '37'])).
0.00/0.31	tff('39', plain,
0.00/0.31	    ![X15, X16, X17]:
0.00/0.31	      (~ in(X17, X16)
0.00/0.31	       | in(X17, X15)
0.00/0.31	       | ~ in(X17, setminus(X16, setminus(X16, X15)))
0.00/0.31	       | ~ in(X15, powerset(X16))),
0.00/0.31	    inference('simplify', [status(thm)], ['38'])).
0.00/0.31	tff('40', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0)
0.00/0.31	       | ~ in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X1)),
0.00/0.31	    inference('sup-', [status(thm)], ['35', '39'])).
0.00/0.31	tff('41', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X1)
0.00/0.31	       | in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0)
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))),
0.00/0.31	    inference('simplify', [status(thm)], ['40'])).
0.00/0.31	tff('42', plain,
0.00/0.31	    ![X2, X3, X4, X5]: (zip_tseitin1(X2, X4, X3, X5) | in(X2, X5)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.31	tff('43', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | in(sk_Xx(X1, setminus(X0, setminus(X0, X1)), X0), X0)
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(X1, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['42', '31'])).
0.00/0.31	tff('44', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X1, powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(setminus(X0, setminus(X0, X1)), powerset(X0))
0.00/0.31	       | in(sk_Xx(X1, setminus(X0, setminus(X0, X1)), X0), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['43'])).
0.00/0.31	tff('45', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))
0.00/0.31	       | in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0)),
0.00/0.31	    inference('clc', [status(thm)], ['41', '44'])).
0.00/0.31	tff('46', plain, ![X2, X3, X4]: (zip_tseitin0(X2, X4, X3) | ~ in(X2, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.31	tff('47', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0)
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(X0, powerset(X1))),
0.00/0.31	    inference('sup-', [status(thm)], ['46', '33'])).
0.00/0.31	tff('48', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
0.00/0.31	       | ~ in(sk_Xx(X0, setminus(X1, setminus(X1, X0)), X1), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['47'])).
0.00/0.31	tff('49', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X0, powerset(X1))
0.00/0.31	       | setminus(X1, setminus(X1, X0)) = X0
0.00/0.31	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))),
0.00/0.31	    inference('clc', [status(thm)], ['45', '48'])).
0.00/0.31	tff('50', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ in(setminus(X0, X1), powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(X1, powerset(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['3', '49'])).
0.00/0.31	tff('51', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ in(X1, powerset(X0))
0.00/0.31	       | setminus(X0, setminus(X0, X1)) = X1
0.00/0.31	       | ~ in(setminus(X0, X1), powerset(X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['50'])).
0.00/0.31	tff('52', plain,
0.00/0.31	    ![X0, X1]: (setminus(X0, setminus(X0, X1)) = X1 | ~ in(X1, powerset(X0))),
0.00/0.31	    inference('clc', [status(thm)], ['51', '3'])).
0.00/0.31	tff('53', plain, sk_X4 != setminus(sk_A4, setminus(sk_A4, sk_X4)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('54', plain, (sk_X4 != sk_X4 | ~ in(sk_X4, powerset(sk_A4))),
0.00/0.31	    inference('sup-', [status(thm)], ['52', '53'])).
0.00/0.31	tff('55', plain, in(sk_X4, powerset(sk_A4)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('56', plain, (sk_X4 != sk_X4 | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['54', '55'])).
0.00/0.31	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.00/0.31	
0.00/0.31	% SZS output end Refutation
0.00/0.31	EOF
