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    : kbo
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   : n183.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 07:52:54 CST 2018
1.13/1.36	% done 944 iterations in 1.152s
1.13/1.36	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.13/1.36	% SZS output start Refutation
1.13/1.36	tff(fact_0_t, axiom,
1.13/1.36	  (plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.13/1.36	             one_one(int)) =
1.13/1.36	   times_times(int,
1.13/1.36	               plus_plus(int,
1.13/1.36	                         times_times(int,
1.13/1.36	                                     number_number_of(int,
1.13/1.36	                                                      bit0(bit0(bit1(pls)))),
1.13/1.36	                                     m),
1.13/1.36	                         one_one(int)),
1.13/1.36	               t))).
1.13/1.36	tff('0', plain,
1.13/1.36	    plus_plus(int, 
1.13/1.36	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.13/1.36	      one_one(int))
1.13/1.36	     = times_times(int, 
1.13/1.36	         plus_plus(int, 
1.13/1.36	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.13/1.36	           one_one(int)), t),
1.13/1.36	    inference('cnf', [status(esa)], [fact_0_t])).
1.13/1.36	tff(fact_78_number__of__is__id, axiom,
1.13/1.36	  (![K:int]: (number_number_of(int,K) = K))).
1.13/1.36	tff('1', plain, ![X165 : int]: number_number_of(int, X165) = X165,
1.13/1.36	    inference('cnf', [status(esa)], [fact_78_number__of__is__id])).
1.13/1.36	tff('2', plain,
1.13/1.36	    plus_plus(int, 
1.13/1.36	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.13/1.36	      one_one(int))
1.13/1.36	     = times_times(int, 
1.13/1.36	         plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
1.13/1.36	           one_one(int)), t),
1.13/1.36	    inference('demod', [status(thm)], ['0', '1'])).
1.13/1.36	tff(fact_7_power2__eq__square__number__of, axiom,
1.13/1.36	  (![B1:$tType]:
1.13/1.36	     ((number(B1) & monoid_mult(B1)) =>
1.13/1.36	      (![W:int]:
1.13/1.36	         (power_power(B1,number_number_of(B1,W),
1.13/1.36	                      number_number_of(nat,bit0(bit1(pls)))) =
1.13/1.36	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
1.13/1.36	tff('3', plain,
1.13/1.36	    ![X0 : $tType, X1 : int]:
1.13/1.36	      (power_power(X0, number_number_of(X0, X1), 
1.13/1.36	         number_number_of(nat, bit0(bit1(pls))))
1.13/1.36	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
1.13/1.36	       | ~ monoid_mult(X0)
1.13/1.36	       | ~ number(X0)),
1.13/1.36	    inference('cnf', [status(esa)], [fact_7_power2__eq__square__number__of])).
1.13/1.36	tff('4', plain,
1.13/1.36	    ![X0 : int]:
1.13/1.36	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.13/1.36	        = times_times(int, number_number_of(int, X0), 
1.13/1.36	            number_number_of(int, X0))
1.13/1.36	       | ~ number(int)
1.13/1.36	       | ~ monoid_mult(int)),
1.13/1.36	    inference('sup+', [status(thm)], ['1', '3'])).
1.13/1.36	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
1.13/1.36	tff('5', plain, number(int),
1.13/1.36	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
1.13/1.36	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
1.13/1.36	tff('6', plain, monoid_mult(int),
1.13/1.36	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
1.13/1.36	tff('7', plain,
1.13/1.36	    ![X0 : int]:
1.13/1.36	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.13/1.36	        = times_times(int, X0, X0)
1.13/1.36	       | ~ $true
1.13/1.36	       | ~ $true),
1.13/1.36	    inference('demod', [status(thm)], ['4', '1', '1', '5', '6'])).
1.13/1.36	tff('8', plain,
1.13/1.36	    ![X0 : int]:
1.13/1.36	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.13/1.36	       = times_times(int, X0, X0),
1.13/1.36	    inference('simplify', [status(thm)], ['7'])).
1.13/1.36	tff(fact_83_add__Pls__right, axiom, (![K:int]: (plus_plus(int,K,pls) = K))).
1.13/1.36	tff('9', plain, ![X179 : int]: plus_plus(int, X179, pls) = X179,
1.13/1.36	    inference('cnf', [status(esa)], [fact_83_add__Pls__right])).
1.13/1.36	tff(fact_94_Bit1__def, axiom,
1.13/1.36	  (![K:int]: (bit1(K) = plus_plus(int,plus_plus(int,one_one(int),K),K)))).
1.13/1.36	tff('10', plain,
1.13/1.36	    ![X202 : int]:
1.13/1.36	      bit1(X202) = plus_plus(int, plus_plus(int, one_one(int), X202), X202),
1.13/1.36	    inference('cnf', [status(esa)], [fact_94_Bit1__def])).
1.13/1.36	tff('11', plain, bit1(pls) = plus_plus(int, one_one(int), pls),
1.13/1.36	    inference('sup+', [status(thm)], ['9', '10'])).
1.13/1.36	tff('12', plain, bit1(pls) = one_one(int),
1.13/1.36	    inference('demod', [status(thm)], ['11', '9'])).
1.13/1.36	tff(fact_33_mult__Bit0, axiom,
1.13/1.36	  (![L1:int,K:int]:
1.13/1.36	     (times_times(int,bit0(K),L1) = bit0(times_times(int,K,L1))))).
1.13/1.36	tff('13', plain,
1.13/1.36	    ![X47 : int, X48 : int]:
1.13/1.36	      times_times(int, bit0(X47), X48) = bit0(times_times(int, X47, X48)),
1.13/1.36	    inference('cnf', [status(esa)], [fact_33_mult__Bit0])).
1.13/1.36	tff(fact_32_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
1.13/1.36	tff('14', plain, ![X46 : int]: times_times(int, pls, X46) = pls,
1.13/1.36	    inference('cnf', [status(esa)], [fact_32_mult__Pls])).
1.13/1.36	tff(fact_12_mult__Bit1, axiom,
1.13/1.36	  (![L1:int,K:int]:
1.13/1.36	     (times_times(int,bit1(K),L1) =
1.13/1.36	      plus_plus(int,bit0(times_times(int,K,L1)),L1)))).
1.13/1.36	tff('15', plain,
1.13/1.36	    ![X8 : int, X9 : int]:
1.13/1.36	      times_times(int, bit1(X8), X9)
1.13/1.36	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
1.13/1.36	    inference('cnf', [status(esa)], [fact_12_mult__Bit1])).
1.13/1.36	tff('16', plain,
1.13/1.36	    ![X0 : int]:
1.13/1.36	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
1.13/1.36	    inference('sup+', [status(thm)], ['14', '15'])).
1.13/1.36	tff(fact_28_Bit0__Pls, axiom, (bit0(pls) = pls)).
1.13/1.36	tff('17', plain, bit0(pls) = pls,
1.13/1.36	    inference('cnf', [status(esa)], [fact_28_Bit0__Pls])).
1.13/1.36	tff(fact_84_add__Pls, axiom, (![K:int]: (plus_plus(int,pls,K) = K))).
1.13/1.36	tff('18', plain, ![X180 : int]: plus_plus(int, pls, X180) = X180,
1.13/1.36	    inference('cnf', [status(esa)], [fact_84_add__Pls])).
1.13/1.36	tff('19', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
1.13/1.36	    inference('demod', [status(thm)], ['16', '17', '18'])).
1.13/1.36	tff(fact_18_add__Bit0__Bit1, axiom,
1.13/1.36	  (![L1:int,K:int]:
1.13/1.36	     (plus_plus(int,bit0(K),bit1(L1)) = bit1(plus_plus(int,K,L1))))).
1.13/1.36	tff('20', plain,
1.13/1.36	    ![X18 : int, X19 : int]:
1.13/1.36	      plus_plus(int, bit0(X18), bit1(X19)) = bit1(plus_plus(int, X18, X19)),
1.13/1.36	    inference('cnf', [status(esa)], [fact_18_add__Bit0__Bit1])).
1.13/1.36	tff('21', plain,
1.13/1.36	    plus_plus(int, times_times(int, s, s), bit1(pls))
1.13/1.36	     = times_times(int, bit1(bit0(m)), t),
1.13/1.36	    inference('demod', [status(thm)],
1.13/1.36	              ['2', '8', '12', '13', '13', '19', '12', '20', '9'])).
1.13/1.36	tff(conj_0, conjecture,
1.13/1.36	  (times_times(int,
1.13/1.36	               plus_plus(int,
1.13/1.36	                         times_times(int,
1.13/1.36	                                     number_number_of(int,
1.13/1.36	                                                      bit0(bit0(bit1(pls)))),
1.13/1.36	                                     m),
1.13/1.36	                         one_one(int)),
1.13/1.36	               t) =
1.13/1.36	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.13/1.36	             one_one(int)))).
1.13/1.36	tff(zf_stmt_0, negated_conjecture,
1.13/1.36	  (times_times(int,
1.13/1.36	               plus_plus(int,
1.13/1.36	                         times_times(int,
1.13/1.36	                                     number_number_of(int,
1.13/1.36	                                                      bit0(bit0(bit1(pls)))),
1.13/1.36	                                     m),
1.13/1.36	                         one_one(int)),
1.13/1.36	               t) !=
1.13/1.36	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.13/1.36	             one_one(int)))).
1.13/1.36	tff('22', plain,
1.13/1.36	    times_times(int, 
1.13/1.36	      plus_plus(int, 
1.13/1.36	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.13/1.36	        one_one(int)), t)
1.13/1.36	     != plus_plus(int, 
1.13/1.36	          power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.13/1.36	          one_one(int)),
1.13/1.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.36	tff('23', plain,
1.13/1.36	    times_times(int, bit1(bit0(m)), t)
1.13/1.36	     != plus_plus(int, times_times(int, s, s), bit1(pls)),
1.13/1.36	    inference('demod', [status(thm)],
1.13/1.36	              ['22', '1', '13', '13', '19', '12', '20', '9', '8', '12'])).
1.13/1.36	tff('24', plain, $false,
1.13/1.36	    inference('simplify_reflect-', [status(thm)], ['21', '23'])).
1.13/1.36	
1.13/1.36	% SZS output end Refutation
1.13/1.36	EOF
