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   : n109.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 07:52:54 CST 2018
1.20/1.46	% done 937 iterations in 1.255s
1.20/1.46	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.20/1.46	% SZS output start Refutation
1.20/1.46	tff(fact_0_t, axiom,
1.20/1.46	  (plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.20/1.46	             one_one(int)) =
1.20/1.46	   times_times(int,
1.20/1.46	               plus_plus(int,
1.20/1.46	                         times_times(int,
1.20/1.46	                                     number_number_of(int,
1.20/1.46	                                                      bit0(bit0(bit1(pls)))),
1.20/1.46	                                     m),
1.20/1.46	                         one_one(int)),
1.20/1.46	               t))).
1.20/1.46	tff('0', plain,
1.20/1.46	    plus_plus(int, 
1.20/1.46	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.20/1.46	      one_one(int))
1.20/1.46	     = times_times(int, 
1.20/1.46	         plus_plus(int, 
1.20/1.46	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.20/1.46	           one_one(int)), t),
1.20/1.46	    inference('cnf', [status(esa)], [fact_0_t])).
1.20/1.46	tff(fact_78_number__of__is__id, axiom,
1.20/1.46	  (![K:int]: (number_number_of(int,K) = K))).
1.20/1.46	tff('1', plain, ![X165 : int]: number_number_of(int, X165) = X165,
1.20/1.46	    inference('cnf', [status(esa)], [fact_78_number__of__is__id])).
1.20/1.46	tff('2', plain,
1.20/1.46	    plus_plus(int, 
1.20/1.46	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.20/1.46	      one_one(int))
1.20/1.46	     = times_times(int, 
1.20/1.46	         plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
1.20/1.46	           one_one(int)), t),
1.20/1.46	    inference('demod', [status(thm)], ['0', '1'])).
1.20/1.46	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
1.20/1.46	tff('3', plain, monoid_mult(int),
1.20/1.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
1.20/1.46	tff(fact_7_power2__eq__square__number__of, axiom,
1.20/1.46	  (![B1:$tType]:
1.20/1.46	     ((number(B1) & monoid_mult(B1)) =>
1.20/1.46	      (![W:int]:
1.20/1.46	         (power_power(B1,number_number_of(B1,W),
1.20/1.46	                      number_number_of(nat,bit0(bit1(pls)))) =
1.20/1.46	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
1.20/1.46	tff('4', plain,
1.20/1.46	    ![X0 : $tType, X1 : int]:
1.20/1.46	      (power_power(X0, number_number_of(X0, X1), 
1.20/1.46	         number_number_of(nat, bit0(bit1(pls))))
1.20/1.46	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
1.20/1.46	       | ~ monoid_mult(X0)
1.20/1.46	       | ~ number(X0)),
1.20/1.46	    inference('cnf', [status(esa)], [fact_7_power2__eq__square__number__of])).
1.20/1.46	tff('5', plain,
1.20/1.46	    ![X0 : int]:
1.20/1.46	      (~ $true
1.20/1.46	       | ~ number(int)
1.20/1.46	       | power_power(int, number_number_of(int, X0), 
1.20/1.46	           number_number_of(nat, bit0(bit1(pls))))
1.20/1.46	          = times_times(int, number_number_of(int, X0), 
1.20/1.46	              number_number_of(int, X0))),
1.20/1.46	    inference('sup-', [status(thm)], ['3', '4'])).
1.20/1.46	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
1.20/1.46	tff('6', plain, number(int),
1.20/1.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
1.20/1.46	tff('7', plain,
1.20/1.46	    ![X0 : int]:
1.20/1.46	      (~ $true
1.20/1.46	       | ~ $true
1.20/1.46	       | power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.20/1.46	          = times_times(int, X0, X0)),
1.20/1.46	    inference('demod', [status(thm)], ['5', '6', '1', '1', '1'])).
1.20/1.46	tff('8', plain,
1.20/1.46	    ![X0 : int]:
1.20/1.46	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.20/1.46	       = times_times(int, X0, X0),
1.20/1.46	    inference('simplify', [status(thm)], ['7'])).
1.20/1.46	tff(fact_83_add__Pls__right, axiom, (![K:int]: (plus_plus(int,K,pls) = K))).
1.20/1.46	tff('9', plain, ![X179 : int]: plus_plus(int, X179, pls) = X179,
1.20/1.46	    inference('cnf', [status(esa)], [fact_83_add__Pls__right])).
1.20/1.46	tff(fact_94_Bit1__def, axiom,
1.20/1.46	  (![K:int]: (bit1(K) = plus_plus(int,plus_plus(int,one_one(int),K),K)))).
1.20/1.46	tff('10', plain,
1.20/1.46	    ![X202 : int]:
1.20/1.46	      bit1(X202) = plus_plus(int, plus_plus(int, one_one(int), X202), X202),
1.20/1.46	    inference('cnf', [status(esa)], [fact_94_Bit1__def])).
1.20/1.46	tff('11', plain, bit1(pls) = plus_plus(int, one_one(int), pls),
1.20/1.46	    inference('sup+', [status(thm)], ['9', '10'])).
1.20/1.46	tff('12', plain, bit1(pls) = one_one(int),
1.20/1.46	    inference('demod', [status(thm)], ['11', '9'])).
1.20/1.46	tff(fact_33_mult__Bit0, axiom,
1.20/1.46	  (![L1:int,K:int]:
1.20/1.46	     (times_times(int,bit0(K),L1) = bit0(times_times(int,K,L1))))).
1.20/1.46	tff('13', plain,
1.20/1.46	    ![X47 : int, X48 : int]:
1.20/1.46	      times_times(int, bit0(X47), X48) = bit0(times_times(int, X47, X48)),
1.20/1.46	    inference('cnf', [status(esa)], [fact_33_mult__Bit0])).
1.20/1.46	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
1.20/1.46	tff('14', plain, number_ring(int),
1.20/1.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
1.20/1.46	tff(fact_97_mult__numeral__1, axiom,
1.20/1.46	  (![A:$tType]:
1.20/1.46	     (number_ring(A) =>
1.20/1.46	      (![A1:A]: (times_times(A,number_number_of(A,bit1(pls)),A1) = A1))))).
1.20/1.46	tff('15', plain,
1.20/1.46	    ![X207 : $tType, X208 : X207]:
1.20/1.46	      (times_times(X207, number_number_of(X207, bit1(pls)), X208) = X208
1.20/1.46	       | ~ number_ring(X207)),
1.20/1.46	    inference('cnf', [status(esa)], [fact_97_mult__numeral__1])).
1.20/1.46	tff('16', plain,
1.20/1.46	    ![X0 : int]:
1.20/1.46	      (~ $true | times_times(int, number_number_of(int, bit1(pls)), X0) = X0),
1.20/1.46	    inference('sup-', [status(thm)], ['14', '15'])).
1.20/1.46	tff('17', plain,
1.20/1.46	    ![X0 : int]: (~ $true | times_times(int, bit1(pls), X0) = X0),
1.20/1.46	    inference('demod', [status(thm)], ['16', '1'])).
1.20/1.46	tff('18', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
1.20/1.46	    inference('simplify', [status(thm)], ['17'])).
1.20/1.46	tff(fact_85_Bit0__def, axiom, (![K:int]: (bit0(K) = plus_plus(int,K,K)))).
1.20/1.46	tff('19', plain, ![X181 : int]: bit0(X181) = plus_plus(int, X181, X181),
1.20/1.46	    inference('cnf', [status(esa)], [fact_85_Bit0__def])).
1.20/1.46	tff(fact_43_add__number__of__left, axiom,
1.20/1.46	  (![A:$tType]:
1.20/1.46	     (number_ring(A) =>
1.20/1.46	      (![Z3:A,W:int,V:int]:
1.20/1.46	         (plus_plus(A,number_number_of(A,V),
1.20/1.46	                    plus_plus(A,number_number_of(A,W),Z3)) =
1.20/1.46	          plus_plus(A,number_number_of(A,plus_plus(int,V,W)),Z3)))))).
1.20/1.46	tff('20', plain,
1.20/1.46	    ![X80 : $tType, X81 : int, X82 : int, X83 : X80]:
1.20/1.46	      (plus_plus(X80, number_number_of(X80, X81), 
1.20/1.46	         plus_plus(X80, number_number_of(X80, X82), X83))
1.20/1.46	        = plus_plus(X80, number_number_of(X80, plus_plus(int, X81, X82)), 
1.20/1.46	            X83)
1.20/1.46	       | ~ number_ring(X80)),
1.20/1.46	    inference('cnf', [status(esa)], [fact_43_add__number__of__left])).
1.20/1.46	tff('21', plain,
1.20/1.46	    ![X0 : int, X1 : int, X2 : int]:
1.20/1.46	      (~ $true
1.20/1.46	       | plus_plus(int, number_number_of(int, X2), 
1.20/1.46	           plus_plus(int, number_number_of(int, X1), X0))
1.20/1.46	          = plus_plus(int, number_number_of(int, plus_plus(int, X2, X1)), X0)),
1.20/1.46	    inference('sup-', [status(thm)], ['14', '20'])).
1.20/1.46	tff('22', plain,
1.20/1.46	    ![X0 : int, X1 : int, X2 : int]:
1.20/1.46	      (~ $true
1.20/1.46	       | plus_plus(int, X2, plus_plus(int, X1, X0))
1.20/1.46	          = plus_plus(int, plus_plus(int, X2, X1), X0)),
1.20/1.46	    inference('demod', [status(thm)], ['21', '1', '1', '1'])).
1.20/1.46	tff('23', plain,
1.20/1.46	    ![X0 : int, X1 : int, X2 : int]:
1.20/1.46	      plus_plus(int, X2, plus_plus(int, X1, X0))
1.20/1.46	       = plus_plus(int, plus_plus(int, X2, X1), X0),
1.20/1.46	    inference('simplify', [status(thm)], ['22'])).
1.20/1.46	tff('24', plain,
1.20/1.46	    ![X0 : int, X1 : int]:
1.20/1.46	      plus_plus(int, X0, plus_plus(int, X0, X1))
1.20/1.46	       = plus_plus(int, bit0(X0), X1),
1.20/1.46	    inference('sup+', [status(thm)], ['19', '23'])).
1.20/1.46	tff(fact_18_add__Bit0__Bit1, axiom,
1.20/1.46	  (![L1:int,K:int]:
1.20/1.46	     (plus_plus(int,bit0(K),bit1(L1)) = bit1(plus_plus(int,K,L1))))).
1.20/1.46	tff('25', plain,
1.20/1.46	    ![X18 : int, X19 : int]:
1.20/1.46	      plus_plus(int, bit0(X18), bit1(X19)) = bit1(plus_plus(int, X18, X19)),
1.20/1.46	    inference('cnf', [status(esa)], [fact_18_add__Bit0__Bit1])).
1.20/1.46	tff('26', plain,
1.20/1.46	    ![X18 : int, X19 : int]:
1.20/1.46	      plus_plus(int, X18, plus_plus(int, X18, bit1(X19)))
1.20/1.46	       = bit1(plus_plus(int, X18, X19)),
1.20/1.46	    inference('demod', [status(thm)], ['25', '24'])).
1.20/1.46	tff('27', plain,
1.20/1.46	    plus_plus(int, times_times(int, s, s), bit1(pls))
1.20/1.46	     = times_times(int, bit1(bit0(m)), t),
1.20/1.46	    inference('demod', [status(thm)],
1.20/1.46	              ['2', '8', '12', '13', '13', '18', '12', '24', '24', '26', 
1.20/1.46	               '9', '24', '26', '19'])).
1.20/1.46	tff(conj_0, conjecture,
1.20/1.46	  (times_times(int,
1.20/1.46	               plus_plus(int,
1.20/1.46	                         times_times(int,
1.20/1.46	                                     number_number_of(int,
1.20/1.46	                                                      bit0(bit0(bit1(pls)))),
1.20/1.46	                                     m),
1.20/1.46	                         one_one(int)),
1.20/1.46	               t) =
1.20/1.46	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.20/1.46	             one_one(int)))).
1.20/1.46	tff(zf_stmt_0, negated_conjecture,
1.20/1.46	  (times_times(int,
1.20/1.46	               plus_plus(int,
1.20/1.46	                         times_times(int,
1.20/1.46	                                     number_number_of(int,
1.20/1.46	                                                      bit0(bit0(bit1(pls)))),
1.20/1.46	                                     m),
1.20/1.46	                         one_one(int)),
1.20/1.46	               t) !=
1.20/1.46	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
1.20/1.46	             one_one(int)))).
1.20/1.46	tff('28', plain,
1.20/1.46	    times_times(int, 
1.20/1.46	      plus_plus(int, 
1.20/1.46	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.20/1.46	        one_one(int)), t)
1.20/1.46	     != plus_plus(int, 
1.20/1.46	          power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
1.20/1.46	          one_one(int)),
1.20/1.46	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.20/1.46	tff('29', plain,
1.20/1.46	    times_times(int, bit1(bit0(m)), t)
1.20/1.46	     != plus_plus(int, times_times(int, s, s), bit1(pls)),
1.20/1.46	    inference('demod', [status(thm)],
1.20/1.46	              ['28', '1', '13', '13', '18', '12', '24', '24', '26', '9', 
1.20/1.46	               '24', '26', '19', '8', '12'])).
1.20/1.46	tff('30', plain, $false,
1.20/1.46	    inference('simplify_reflect-', [status(thm)], ['27', '29'])).
1.20/1.46	
1.20/1.46	% SZS output end Refutation
1.20/1.46	EOF
