0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_int
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n142.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 10:40:23 CST 2018
0.74/0.93	% done 686 iterations in 0.717s
0.74/0.93	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.74/0.93	% SZS output start Refutation
0.74/0.93	tff(fact_50_calculation_I1_J, axiom,
0.74/0.93	  (plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),
0.74/0.93	             power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) =
0.74/0.93	   zero_zero(int))).
0.74/0.93	tff('0', plain,
0.74/0.93	    plus_plus(int, 
0.74/0.93	      power_power(int, v, number_number_of(nat, bit0(bit1(pls)))), 
0.74/0.93	      power_power(int, w, number_number_of(nat, bit0(bit1(pls)))))
0.74/0.93	     = zero_zero(int),
0.74/0.93	    inference('cnf', [status(esa)], [fact_50_calculation_I1_J])).
0.74/0.93	tff(fact_37_Pls__def, axiom, (pls = zero_zero(int))).
0.74/0.93	tff('1', plain, pls = zero_zero(int),
0.74/0.93	    inference('cnf', [status(esa)], [fact_37_Pls__def])).
0.74/0.93	tff('2', plain,
0.74/0.93	    plus_plus(int, 
0.74/0.93	      power_power(int, v, number_number_of(nat, bit0(bit1(zero_zero(int))))), 
0.74/0.93	      power_power(int, w, number_number_of(nat, bit0(bit1(zero_zero(int))))))
0.74/0.93	     = zero_zero(int),
0.74/0.93	    inference('demod', [status(thm)], ['0', '1', '1'])).
0.74/0.93	tff(fact_62_calculation_I2_J, axiom,
0.74/0.93	  ((v != zero_zero(int)) =>
0.74/0.93	   ord_less(int,zero_zero(int),
0.74/0.93	            plus_plus(int,
0.74/0.93	                      power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),
0.74/0.93	                      power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))))).
0.74/0.93	tff('3', plain,
0.74/0.93	    (ord_less(int, zero_zero(int), 
0.74/0.93	       plus_plus(int, 
0.74/0.93	         power_power(int, v, number_number_of(nat, bit0(bit1(pls)))), 
0.74/0.93	         power_power(int, w, number_number_of(nat, bit0(bit1(pls))))))
0.74/0.93	     | v = zero_zero(int)),
0.74/0.93	    inference('cnf', [status(esa)], [fact_62_calculation_I2_J])).
0.74/0.93	tff('4', plain,
0.74/0.93	    (ord_less(int, zero_zero(int), zero_zero(int)) | v = zero_zero(int)),
0.74/0.93	    inference('demod', [status(thm)], ['3', '1', '1', '2'])).
0.74/0.93	tff(fact_27_rel__simps_I2_J, axiom, (~ord_less(int,pls,pls))).
0.74/0.93	tff('5', plain, ~ ord_less(int, pls, pls),
0.74/0.93	    inference('cnf', [status(esa)], [fact_27_rel__simps_I2_J])).
0.74/0.93	tff('6', plain, ~ ord_less(int, zero_zero(int), zero_zero(int)),
0.74/0.93	    inference('demod', [status(thm)], ['5', '1', '1'])).
0.74/0.93	tff('7', plain, v = zero_zero(int),
0.74/0.93	    inference('clc', [status(thm)], ['4', '6'])).
0.74/0.93	tff(arity_Int_Oint___Rings_Osemiring__1, axiom, (semiring_1(int))).
0.74/0.93	tff('8', plain, semiring_1(int),
0.74/0.93	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring__1])).
0.74/0.93	tff(fact_2_zero__power2, axiom,
0.74/0.93	  (![A:$tType]:
0.74/0.93	     (semiring_1(A) =>
0.74/0.93	      (power_power(A,zero_zero(A),number_number_of(nat,bit0(bit1(pls)))) =
0.74/0.93	       zero_zero(A))))).
0.74/0.93	tff('9', plain,
0.74/0.93	    ![X3 : $tType]:
0.74/0.93	      (power_power(X3, zero_zero(X3), number_number_of(nat, bit0(bit1(pls))))
0.74/0.93	        = zero_zero(X3)
0.74/0.93	       | ~ semiring_1(X3)),
0.74/0.93	    inference('cnf', [status(esa)], [fact_2_zero__power2])).
0.74/0.93	tff('10', plain,
0.74/0.93	    (~ $true
0.74/0.93	     | power_power(int, zero_zero(int), 
0.74/0.93	         number_number_of(nat, bit0(bit1(pls))))
0.74/0.93	        = zero_zero(int)),
0.74/0.93	    inference('sup-', [status(thm)], ['8', '9'])).
0.74/0.93	tff('11', plain,
0.74/0.93	    power_power(int, zero_zero(int), number_number_of(nat, bit0(bit1(pls))))
0.74/0.93	     = zero_zero(int),
0.74/0.93	    inference('simplify', [status(thm)], ['10'])).
0.74/0.93	tff('12', plain,
0.74/0.93	    power_power(int, zero_zero(int), 
0.74/0.93	      number_number_of(nat, bit0(bit1(zero_zero(int)))))
0.74/0.93	     = zero_zero(int),
0.74/0.93	    inference('demod', [status(thm)], ['11', '1'])).
0.74/0.93	tff(fact_73_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
0.74/0.93	tff('13', plain, ![X146 : int]: plus_plus(int, pls, X146) = X146,
0.74/0.93	    inference('cnf', [status(esa)], [fact_73_add__Pls])).
0.74/0.93	tff('14', plain, ![X146 : int]: plus_plus(int, zero_zero(int), X146) = X146,
0.74/0.93	    inference('demod', [status(thm)], ['13', '1'])).
0.74/0.93	tff('15', plain,
0.74/0.93	    power_power(int, w, number_number_of(nat, bit0(bit1(zero_zero(int)))))
0.74/0.93	     = zero_zero(int),
0.74/0.93	    inference('demod', [status(thm)], ['2', '7', '12', '14'])).
0.74/0.93	tff(fact_3_zero__eq__power2, axiom,
0.74/0.93	  (![A:$tType]:
0.74/0.93	     (ring_11004092258visors(A) =>
0.74/0.93	      (![A1:A]:
0.74/0.93	         ((power_power(A,A1,number_number_of(nat,bit0(bit1(pls)))) =
0.74/0.93	           zero_zero(A)) <=>
0.74/0.93	          (A1 = zero_zero(A))))))).
0.74/0.93	tff('16', plain,
0.74/0.93	    ![X4 : $tType, X6 : X4]:
0.74/0.93	      (power_power(X4, X6, number_number_of(nat, bit0(bit1(pls))))
0.74/0.93	        != zero_zero(X4)
0.74/0.93	       | X6 = zero_zero(X4)
0.74/0.93	       | ~ ring_11004092258visors(X4)),
0.74/0.93	    inference('cnf', [status(esa)], [fact_3_zero__eq__power2])).
0.74/0.93	tff('17', plain,
0.74/0.93	    ![X4 : $tType, X6 : X4]:
0.74/0.93	      (power_power(X4, X6, number_number_of(nat, bit0(bit1(zero_zero(int)))))
0.74/0.93	        != zero_zero(X4)
0.74/0.93	       | X6 = zero_zero(X4)
0.74/0.93	       | ~ ring_11004092258visors(X4)),
0.74/0.93	    inference('demod', [status(thm)], ['16', '1'])).
0.74/0.93	tff('18', plain,
0.74/0.93	    (zero_zero(int) != zero_zero(int)
0.74/0.93	     | ~ ring_11004092258visors(int)
0.74/0.93	     | w = zero_zero(int)),
0.74/0.93	    inference('sup-', [status(thm)], ['15', '17'])).
0.74/0.93	tff(arity_Int_Oint___Rings_Oring__1__no__zero__divisors, axiom,
0.74/0.93	  (ring_11004092258visors(int))).
0.74/0.93	tff('19', plain, ring_11004092258visors(int),
0.74/0.93	    inference('cnf', [status(esa)],
0.74/0.93	              [arity_Int_Oint___Rings_Oring__1__no__zero__divisors])).
0.74/0.93	tff('20', plain,
0.74/0.93	    (zero_zero(int) != zero_zero(int) | ~ $true | w = zero_zero(int)),
0.74/0.93	    inference('demod', [status(thm)], ['18', '19'])).
0.74/0.93	tff('21', plain, w = zero_zero(int),
0.74/0.93	    inference('simplify', [status(thm)], ['20'])).
0.74/0.93	tff(fact_0__096w_A_126_061_A0_096, axiom, (w != zero_zero(int))).
0.74/0.93	tff('22', plain, w != zero_zero(int),
0.74/0.93	    inference('cnf', [status(esa)], [fact_0__096w_A_126_061_A0_096])).
0.74/0.93	tff('23', plain, $false,
0.74/0.93	    inference('simplify_reflect-', [status(thm)], ['21', '22'])).
0.74/0.93	
0.74/0.93	% SZS output end Refutation
0.74/0.93	EOF
