0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n081.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:08:09 CST 2018
1.23/1.40	% done 1201 iterations in 1.207s
1.23/1.40	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.23/1.40	% SZS output start Refutation
1.23/1.41	tff(conj_1, axiom,
1.23/1.41	  ((huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2)) =>
1.23/1.41	   (ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)) =>
1.23/1.41	    p))).
1.23/1.41	tff('0', plain,
1.23/1.41	    (~ ord_less_eq(nat, huffma945805758height(b, t_1), 
1.23/1.41	         huffma945805758height(a, t_2))
1.23/1.41	     | p
1.23/1.41	     | huffma410068972_depth(a, t_2, a1) != huffma945805758height(a, t_2)),
1.23/1.41	    inference('cnf', [status(esa)], [conj_1])).
1.23/1.41	tff(conj_0, axiom,
1.23/1.41	  (huffma410068972_depth(a,t_2,a1) =
1.23/1.41	   ord_max(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)))).
1.23/1.41	tff('1', plain,
1.23/1.41	    huffma410068972_depth(a, t_2, a1)
1.23/1.41	     = ord_max(nat, huffma945805758height(b, t_1), 
1.23/1.41	         huffma945805758height(a, t_2)),
1.23/1.41	    inference('cnf', [status(esa)], [conj_0])).
1.23/1.41	tff(fact_46_le__refl, axiom, (![N:nat]: ord_less_eq(nat,N,N))).
1.23/1.41	tff('2', plain, ![X176 : nat]: ord_less_eq(nat, X176, X176),
1.23/1.41	    inference('cnf', [status(esa)], [fact_46_le__refl])).
1.23/1.41	tff(fact_2_min__max_Ole__sup__iff, axiom,
1.23/1.41	  (![C:$tType]:
1.23/1.41	     (linorder(C) =>
1.23/1.41	      (![Z:C,Y1:C,X1:C]:
1.23/1.41	         (ord_less_eq(C,ord_max(C,X1,Y1),Z) <=>
1.23/1.41	          (ord_less_eq(C,Y1,Z) & ord_less_eq(C,X1,Z))))))).
1.23/1.41	tff('3', plain,
1.23/1.41	    ![X8 : $tType, X9 : X8, X10 : X8, X12 : X8]:
1.23/1.41	      (~ ord_less_eq(X8, ord_max(X8, X12, X9), X10)
1.23/1.41	       | ord_less_eq(X8, X12, X10)
1.23/1.41	       | ~ linorder(X8)),
1.23/1.41	    inference('cnf', [status(esa)], [fact_2_min__max_Ole__sup__iff])).
1.23/1.41	tff('4', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]:
1.23/1.41	      (~ $true | ~ linorder(nat) | ord_less_eq(nat, X1, ord_max(nat, X1, X0))),
1.23/1.41	    inference('sup-', [status(thm)], ['2', '3'])).
1.23/1.41	tff(arity_Nat_Onat___Orderings_Olinorder, axiom, (linorder(nat))).
1.23/1.41	tff('5', plain, linorder(nat),
1.23/1.41	    inference('cnf', [status(esa)], [arity_Nat_Onat___Orderings_Olinorder])).
1.23/1.41	tff('6', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]:
1.23/1.41	      (~ $true | ~ $true | ord_less_eq(nat, X1, ord_max(nat, X1, X0))),
1.23/1.41	    inference('demod', [status(thm)], ['4', '5'])).
1.23/1.41	tff('7', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]: ord_less_eq(nat, X1, ord_max(nat, X1, X0)),
1.23/1.41	    inference('simplify', [status(thm)], ['6'])).
1.23/1.41	tff('8', plain,
1.23/1.41	    ord_less_eq(nat, huffma945805758height(b, t_1), 
1.23/1.41	      huffma410068972_depth(a, t_2, a1)),
1.23/1.41	    inference('sup+', [status(thm)], ['1', '7'])).
1.23/1.41	tff('9', plain,
1.23/1.41	    ![X8 : $tType, X9 : X8, X10 : X8, X12 : X8]:
1.23/1.41	      (~ ord_less_eq(X8, ord_max(X8, X12, X9), X10)
1.23/1.41	       | ord_less_eq(X8, X9, X10)
1.23/1.41	       | ~ linorder(X8)),
1.23/1.41	    inference('cnf', [status(esa)], [fact_2_min__max_Ole__sup__iff])).
1.23/1.41	tff('10', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]:
1.23/1.41	      (~ $true | ~ linorder(nat) | ord_less_eq(nat, X0, ord_max(nat, X1, X0))),
1.23/1.41	    inference('sup-', [status(thm)], ['2', '9'])).
1.23/1.41	tff('11', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]:
1.23/1.41	      (~ $true | ~ $true | ord_less_eq(nat, X0, ord_max(nat, X1, X0))),
1.23/1.41	    inference('demod', [status(thm)], ['10', '5'])).
1.23/1.41	tff('12', plain,
1.23/1.41	    ![X0 : nat, X1 : nat]: ord_less_eq(nat, X0, ord_max(nat, X1, X0)),
1.23/1.41	    inference('simplify', [status(thm)], ['11'])).
1.23/1.41	tff('13', plain,
1.23/1.41	    ord_less_eq(nat, huffma945805758height(a, t_2), 
1.23/1.41	      huffma410068972_depth(a, t_2, a1)),
1.23/1.41	    inference('sup+', [status(thm)], ['1', '12'])).
1.23/1.41	tff(fact_17_order__antisym, axiom,
1.23/1.41	  (![A:$tType]:
1.23/1.41	     (order(A) =>
1.23/1.41	      (![Y:A,X:A]: (ord_less_eq(A,X,Y) => (ord_less_eq(A,Y,X) => (X = Y))))))).
1.23/1.41	tff('14', plain,
1.23/1.41	    ![X62 : $tType, X63 : X62, X64 : X62]:
1.23/1.41	      (~ ord_less_eq(X62, X63, X64)
1.23/1.41	       | X63 = X64
1.23/1.41	       | ~ ord_less_eq(X62, X64, X63)
1.23/1.41	       | ~ order(X62)),
1.23/1.41	    inference('cnf', [status(esa)], [fact_17_order__antisym])).
1.23/1.41	tff('15', plain,
1.23/1.41	    (~ $true
1.23/1.41	     | ~ order(nat)
1.23/1.41	     | ~ ord_less_eq(nat, huffma410068972_depth(a, t_2, a1), 
1.23/1.41	           huffma945805758height(a, t_2))
1.23/1.41	     | huffma945805758height(a, t_2) = huffma410068972_depth(a, t_2, a1)),
1.23/1.41	    inference('sup-', [status(thm)], ['13', '14'])).
1.23/1.41	tff(arity_Nat_Onat___Orderings_Oorder, axiom, (order(nat))).
1.23/1.41	tff('16', plain, order(nat),
1.23/1.41	    inference('cnf', [status(esa)], [arity_Nat_Onat___Orderings_Oorder])).
1.23/1.41	tff(fact_1_depth__le__height, axiom,
1.23/1.41	  (![A:$tType,A3:A,T:huffma1450048681e_tree(A)]:
1.23/1.41	     ord_less_eq(nat,huffma410068972_depth(A,T,A3),huffma945805758height(A,T)))).
1.23/1.41	tff('17', plain,
1.23/1.41	    ![X5 : $tType, X6 : huffma1450048681e_tree(X5), X7 : X5]:
1.23/1.41	      ord_less_eq(nat, huffma410068972_depth(X5, X6, X7), 
1.23/1.41	        huffma945805758height(X5, X6)),
1.23/1.41	    inference('cnf', [status(esa)], [fact_1_depth__le__height])).
1.23/1.41	tff('18', plain,
1.23/1.41	    (~ $true
1.23/1.41	     | ~ $true
1.23/1.41	     | ~ $true
1.23/1.41	     | huffma945805758height(a, t_2) = huffma410068972_depth(a, t_2, a1)),
1.23/1.41	    inference('demod', [status(thm)], ['15', '16', '17'])).
1.23/1.41	tff('19', plain,
1.23/1.41	    huffma945805758height(a, t_2) = huffma410068972_depth(a, t_2, a1),
1.23/1.41	    inference('simplify', [status(thm)], ['18'])).
1.23/1.41	tff('20', plain,
1.23/1.41	    ord_less_eq(nat, huffma945805758height(b, t_1), 
1.23/1.41	      huffma945805758height(a, t_2)),
1.23/1.41	    inference('demod', [status(thm)], ['8', '19'])).
1.23/1.41	tff('21', plain,
1.23/1.41	    (~ $true
1.23/1.41	     | p
1.23/1.41	     | huffma945805758height(a, t_2) != huffma945805758height(a, t_2)),
1.23/1.41	    inference('demod', [status(thm)], ['0', '20', '19'])).
1.23/1.41	tff('22', plain, p, inference('simplify', [status(thm)], ['21'])).
1.23/1.41	tff(conj_2, conjecture, (p)).
1.23/1.41	tff(zf_stmt_0, negated_conjecture, (~p)).
1.23/1.41	tff('23', plain, ~ p, inference('cnf', [status(esa)], [zf_stmt_0])).
1.23/1.41	tff('24', plain, ~ $true, inference('sup-', [status(thm)], ['22', '23'])).
1.23/1.41	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
1.23/1.41	
1.23/1.41	% SZS output end Refutation
1.23/1.41	EOF
