0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : rpo6
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 int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
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   : n147.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 08:02:54 CST 2018
0.00/0.41	% done 354 iterations in 0.211s
0.00/0.41	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.41	% SZS output start Refutation
0.00/0.41	tff(fact_1_qf1pt, axiom,
0.00/0.41	  (twoSqu1567020053sum2sq(times_times(int,
0.00/0.41	                                      plus_plus(int,
0.00/0.41	                                                times_times(int,
0.00/0.41	                                                            number_number_of(
0.00/0.41	                                                            int,
0.00/0.41	                                                            bit0(bit0(
0.00/0.41	                                                                 bit1(pls)))),
0.00/0.41	                                                            m),
0.00/0.41	                                                one_one(int)),
0.00/0.41	                                      t)))).
0.00/0.41	tff('0', plain,
0.00/0.41	    twoSqu1567020053sum2sq(
0.00/0.41	      times_times(int, 
0.00/0.41	        plus_plus(int, 
0.00/0.41	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.00/0.41	          one_one(int)), t)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_1_qf1pt])).
0.00/0.41	tff(fact_0__096t_A_061_A1_096, axiom, (t = one_one(int))).
0.00/0.41	tff('1', plain, t = one_one(int),
0.00/0.41	    inference('cnf', [status(esa)], [fact_0__096t_A_061_A1_096])).
0.00/0.41	tff('2', plain,
0.00/0.41	    twoSqu1567020053sum2sq(
0.00/0.41	      times_times(int, 
0.00/0.41	        plus_plus(int, 
0.00/0.41	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.00/0.41	          one_one(int)), one_one(int))),
0.00/0.41	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.41	tff(fact_31_number__of__is__id, axiom,
0.00/0.41	  (![K3:int]: (number_number_of(int,K3) = K3))).
0.00/0.41	tff('3', plain, ![X65 : int]: number_number_of(int, X65) = X65,
0.00/0.41	    inference('cnf', [status(esa)], [fact_31_number__of__is__id])).
0.00/0.41	tff('4', plain,
0.00/0.41	    twoSqu1567020053sum2sq(
0.00/0.41	      times_times(int, 
0.00/0.41	        plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
0.00/0.41	          one_one(int)), one_one(int))),
0.00/0.41	    inference('demod', [status(thm)], ['2', '3'])).
0.00/0.41	tff(fact_27_mult__Bit0, axiom,
0.00/0.41	  (![L1:int,K3:int]:
0.00/0.41	     (times_times(int,bit0(K3),L1) = bit0(times_times(int,K3,L1))))).
0.00/0.41	tff('5', plain,
0.00/0.41	    ![X53 : int, X54 : int]:
0.00/0.41	      times_times(int, bit0(X53), X54) = bit0(times_times(int, X53, X54)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_27_mult__Bit0])).
0.00/0.41	tff(fact_48_one__is__num__one, axiom,
0.00/0.41	  (one_one(int) = number_number_of(int,bit1(pls)))).
0.00/0.41	tff('6', plain, one_one(int) = number_number_of(int, bit1(pls)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_48_one__is__num__one])).
0.00/0.41	tff('7', plain, one_one(int) = bit1(pls),
0.00/0.41	    inference('demod', [status(thm)], ['6', '3'])).
0.00/0.41	tff(fact_34_Bit0__def, axiom, (![K3:int]: (bit0(K3) = plus_plus(int,K3,K3)))).
0.00/0.41	tff('8', plain, ![X68 : int]: bit0(X68) = plus_plus(int, X68, X68),
0.00/0.41	    inference('cnf', [status(esa)], [fact_34_Bit0__def])).
0.00/0.41	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
0.00/0.41	tff('9', plain, number_ring(int),
0.00/0.41	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
0.00/0.41	tff(fact_12_add__number__of__left, axiom,
0.00/0.41	  (![A:$tType]:
0.00/0.41	     (number_ring(A) =>
0.00/0.41	      (![Z:A,W:int,V:int]:
0.00/0.41	         (plus_plus(A,number_number_of(A,V),
0.00/0.41	                    plus_plus(A,number_number_of(A,W),Z)) =
0.00/0.41	          plus_plus(A,number_number_of(A,plus_plus(int,V,W)),Z)))))).
0.00/0.41	tff('10', plain,
0.00/0.41	    ![X17 : $tType, X18 : int, X19 : int, X20 : X17]:
0.00/0.41	      (plus_plus(X17, number_number_of(X17, X18), 
0.00/0.41	         plus_plus(X17, number_number_of(X17, X19), X20))
0.00/0.41	        = plus_plus(X17, number_number_of(X17, plus_plus(int, X18, X19)), 
0.00/0.41	            X20)
0.00/0.41	       | ~ number_ring(X17)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_12_add__number__of__left])).
0.00/0.41	tff('11', plain,
0.00/0.41	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.41	      (~ $true
0.00/0.41	       | plus_plus(int, number_number_of(int, X2), 
0.00/0.41	           plus_plus(int, number_number_of(int, X1), X0))
0.00/0.41	          = plus_plus(int, number_number_of(int, plus_plus(int, X2, X1)), X0)),
0.00/0.41	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.41	tff('12', plain,
0.00/0.41	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.41	      (~ $true
0.00/0.41	       | plus_plus(int, X2, plus_plus(int, X1, X0))
0.00/0.41	          = plus_plus(int, plus_plus(int, X2, X1), X0)),
0.00/0.41	    inference('demod', [status(thm)], ['11', '3', '3', '3'])).
0.00/0.41	tff('13', plain,
0.00/0.41	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.41	      plus_plus(int, X2, plus_plus(int, X1, X0))
0.00/0.41	       = plus_plus(int, plus_plus(int, X2, X1), X0),
0.00/0.41	    inference('simplify', [status(thm)], ['12'])).
0.00/0.41	tff('14', plain,
0.00/0.41	    ![X0 : int, X1 : int]:
0.00/0.41	      plus_plus(int, X0, plus_plus(int, X0, X1))
0.00/0.41	       = plus_plus(int, bit0(X0), X1),
0.00/0.41	    inference('sup+', [status(thm)], ['8', '13'])).
0.00/0.41	tff(fact_9_add__Bit0__Bit1, axiom,
0.00/0.41	  (![L1:int,K3:int]:
0.00/0.41	     (plus_plus(int,bit0(K3),bit1(L1)) = bit1(plus_plus(int,K3,L1))))).
0.00/0.41	tff('15', plain,
0.00/0.41	    ![X10 : int, X11 : int]:
0.00/0.41	      plus_plus(int, bit0(X10), bit1(X11)) = bit1(plus_plus(int, X10, X11)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_9_add__Bit0__Bit1])).
0.00/0.41	tff('16', plain,
0.00/0.41	    ![X10 : int, X11 : int]:
0.00/0.41	      plus_plus(int, X10, plus_plus(int, X10, bit1(X11)))
0.00/0.41	       = bit1(plus_plus(int, X10, X11)),
0.00/0.41	    inference('demod', [status(thm)], ['15', '14'])).
0.00/0.41	tff(fact_32_add__Pls__right, axiom,
0.00/0.41	  (![K3:int]: (plus_plus(int,K3,pls) = K3))).
0.00/0.41	tff('17', plain, ![X66 : int]: plus_plus(int, X66, pls) = X66,
0.00/0.41	    inference('cnf', [status(esa)], [fact_32_add__Pls__right])).
0.00/0.41	tff('18', plain,
0.00/0.41	    twoSqu1567020053sum2sq(
0.00/0.41	      times_times(int, bit1(bit0(times_times(int, bit1(pls), m))), bit1(pls))),
0.00/0.41	    inference('demod', [status(thm)],
0.00/0.41	              ['4', '5', '5', '7', '14', '14', '16', '17', '14', '16', '8', 
0.00/0.41	               '7'])).
0.00/0.41	tff(fact_45_mult__numeral__1, axiom,
0.00/0.41	  (![A:$tType]:
0.00/0.41	     (number_ring(A) =>
0.00/0.41	      (![A1:A]: (times_times(A,number_number_of(A,bit1(pls)),A1) = A1))))).
0.00/0.41	tff('19', plain,
0.00/0.41	    ![X92 : $tType, X93 : X92]:
0.00/0.41	      (times_times(X92, number_number_of(X92, bit1(pls)), X93) = X93
0.00/0.41	       | ~ number_ring(X92)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_45_mult__numeral__1])).
0.00/0.41	tff('20', plain,
0.00/0.41	    ![X0 : int]:
0.00/0.41	      (~ $true | times_times(int, number_number_of(int, bit1(pls)), X0) = X0),
0.00/0.41	    inference('sup-', [status(thm)], ['9', '19'])).
0.00/0.41	tff('21', plain,
0.00/0.41	    ![X0 : int]: (~ $true | times_times(int, bit1(pls), X0) = X0),
0.00/0.41	    inference('demod', [status(thm)], ['20', '3'])).
0.00/0.41	tff('22', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.00/0.41	    inference('simplify', [status(thm)], ['21'])).
0.00/0.41	tff('23', plain,
0.00/0.41	    twoSqu1567020053sum2sq(times_times(int, bit1(bit0(m)), bit1(pls))),
0.00/0.41	    inference('demod', [status(thm)], ['18', '22'])).
0.00/0.41	tff(fact_46_mult__numeral__1__right, axiom,
0.00/0.41	  (![A:$tType]:
0.00/0.41	     (number_ring(A) =>
0.00/0.41	      (![A1:A]: (times_times(A,A1,number_number_of(A,bit1(pls))) = A1))))).
0.00/0.41	tff('24', plain,
0.00/0.41	    ![X94 : $tType, X95 : X94]:
0.00/0.41	      (times_times(X94, X95, number_number_of(X94, bit1(pls))) = X95
0.00/0.41	       | ~ number_ring(X94)),
0.00/0.41	    inference('cnf', [status(esa)], [fact_46_mult__numeral__1__right])).
0.00/0.41	tff('25', plain,
0.00/0.41	    ![X0 : int]:
0.00/0.41	      (~ $true | times_times(int, X0, number_number_of(int, bit1(pls))) = X0),
0.00/0.41	    inference('sup-', [status(thm)], ['9', '24'])).
0.00/0.41	tff('26', plain,
0.00/0.41	    ![X0 : int]: (~ $true | times_times(int, X0, bit1(pls)) = X0),
0.00/0.41	    inference('demod', [status(thm)], ['25', '3'])).
0.00/0.41	tff('27', plain, ![X0 : int]: times_times(int, X0, bit1(pls)) = X0,
0.00/0.41	    inference('simplify', [status(thm)], ['26'])).
0.00/0.41	tff('28', plain, twoSqu1567020053sum2sq(bit1(bit0(m))),
0.00/0.41	    inference('demod', [status(thm)], ['23', '27'])).
0.00/0.41	tff(conj_0, conjecture,
0.00/0.41	  (twoSqu1567020053sum2sq(plus_plus(int,
0.00/0.41	                                    times_times(int,
0.00/0.41	                                                number_number_of(int,
0.00/0.41	                                                                 bit0(
0.00/0.41	                                                                 bit0(
0.00/0.41	                                                                 bit1(pls)))),
0.00/0.41	                                                m),
0.00/0.41	                                    one_one(int))))).
0.00/0.41	tff(zf_stmt_0, negated_conjecture,
0.00/0.41	  (~
0.00/0.41	    twoSqu1567020053sum2sq(plus_plus(int,
0.00/0.41	                                     times_times(int,
0.00/0.41	                                                 number_number_of(int,
0.00/0.41	                                                                  bit0(
0.00/0.41	                                                                  bit0(
0.00/0.41	                                                                  bit1(pls)))),
0.00/0.41	                                                 m),
0.00/0.41	                                     one_one(int))))).
0.00/0.41	tff('29', plain,
0.00/0.41	    ~ twoSqu1567020053sum2sq(
0.00/0.41	        plus_plus(int, 
0.00/0.41	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.00/0.41	          one_one(int))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('30', plain,
0.00/0.41	    ~ twoSqu1567020053sum2sq(
0.00/0.41	        plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), bit1(pls))),
0.00/0.41	    inference('demod', [status(thm)], ['29', '3', '7'])).
0.00/0.41	tff('31', plain,
0.00/0.41	    ~ twoSqu1567020053sum2sq(
0.00/0.41	        plus_plus(int, bit0(bit0(times_times(int, bit1(pls), m))), bit1(pls))),
0.00/0.41	    inference('demod', [status(thm)], ['30', '5', '5'])).
0.00/0.41	tff(fact_7_mult__Bit1, axiom,
0.00/0.41	  (![L1:int,K3:int]:
0.00/0.41	     (times_times(int,bit1(K3),L1) =
0.00/0.41	      plus_plus(int,bit0(times_times(int,K3,L1)),L1)))).
0.00/0.41	tff('32', plain,
0.00/0.41	    ![X7 : int, X8 : int]:
0.00/0.41	      times_times(int, bit1(X7), X8)
0.00/0.41	       = plus_plus(int, bit0(times_times(int, X7, X8)), X8),
0.00/0.41	    inference('cnf', [status(esa)], [fact_7_mult__Bit1])).
0.00/0.41	tff(fact_26_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.00/0.41	tff('33', plain, ![X52 : int]: times_times(int, pls, X52) = pls,
0.00/0.41	    inference('cnf', [status(esa)], [fact_26_mult__Pls])).
0.00/0.41	tff(fact_25_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.00/0.41	tff('34', plain, bit0(pls) = pls,
0.00/0.41	    inference('cnf', [status(esa)], [fact_25_Bit0__Pls])).
0.00/0.41	tff(fact_33_add__Pls, axiom, (![K3:int]: (plus_plus(int,pls,K3) = K3))).
0.00/0.41	tff('35', plain, ![X67 : int]: plus_plus(int, pls, X67) = X67,
0.00/0.41	    inference('cnf', [status(esa)], [fact_33_add__Pls])).
0.00/0.41	tff('36', plain,
0.00/0.41	    ~ twoSqu1567020053sum2sq(plus_plus(int, bit0(bit0(m)), bit1(pls))),
0.00/0.41	    inference('demod', [status(thm)], ['31', '32', '33', '34', '35'])).
0.00/0.41	tff('37', plain, ~ twoSqu1567020053sum2sq(bit1(bit0(m))),
0.00/0.41	    inference('demod', [status(thm)], ['36', '15', '17'])).
0.00/0.41	tff('38', plain, ~ $true, inference('sup-', [status(thm)], ['28', '37'])).
0.00/0.41	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
0.00/0.41	
0.00/0.41	% SZS output end Refutation
0.00/0.41	EOF
