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    : supatvars_ext
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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
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
0.00/0.20	% Computer   : n044.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 08:06:23 CST 2018
0.85/1.07	% done 1052 iterations in 0.863s
0.85/1.07	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.85/1.07	% SZS output start Refutation
0.85/1.07	tff(fact_1_nQ1, axiom,
0.85/1.07	  (~
0.85/1.07	    twoSqu1567020053sum2sq(times_times(int,
0.85/1.07	                                       plus_plus(int,
0.85/1.07	                                                 times_times(int,
0.85/1.07	                                                             number_number_of(
0.85/1.07	                                                             int,
0.85/1.07	                                                             bit0(bit0(
0.85/1.07	                                                                  bit1(pls)))),
0.85/1.07	                                                             m),
0.85/1.07	                                                 one_one(int)),
0.85/1.07	                                       plus_plus(int,one_one(int),
0.85/1.07	                                                 semiring_1_of_nat(int,
0.85/1.07	                                                                   zero_zero(
0.85/1.07	                                                                   nat))))))).
0.85/1.07	tff('0', plain,
0.85/1.07	    ~ twoSqu1567020053sum2sq(
0.85/1.07	        times_times(int, 
0.85/1.07	          plus_plus(int, 
0.85/1.07	            times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.85/1.07	            one_one(int)), 
0.85/1.07	          plus_plus(int, one_one(int), 
0.85/1.07	            semiring_1_of_nat(int, zero_zero(nat))))),
0.85/1.07	    inference('cnf', [status(esa)], [fact_1_nQ1])).
0.85/1.07	tff(fact_82_Pls__def, axiom, (pls = zero_zero(int))).
0.85/1.07	tff('1', plain, pls = zero_zero(int),
0.85/1.07	    inference('cnf', [status(esa)], [fact_82_Pls__def])).
0.85/1.07	tff('2', plain,
0.85/1.07	    ~ twoSqu1567020053sum2sq(
0.85/1.07	        times_times(int, 
0.85/1.07	          plus_plus(int, 
0.85/1.07	            times_times(int, 
0.85/1.07	              number_number_of(int, bit0(bit0(bit1(zero_zero(int))))), m), 
0.85/1.07	            one_one(int)), 
0.85/1.07	          plus_plus(int, one_one(int), 
0.85/1.07	            semiring_1_of_nat(int, zero_zero(nat))))),
0.85/1.07	    inference('demod', [status(thm)], ['0', '1'])).
0.85/1.07	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
0.85/1.07	tff('3', plain, number_ring(int),
0.85/1.07	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
0.85/1.07	tff(fact_15_numeral__1__eq__1, axiom,
0.85/1.07	  (![A:$tType]:
0.85/1.07	     (number_ring(A) => (number_number_of(A,bit1(pls)) = one_one(A))))).
0.85/1.07	tff('4', plain,
0.85/1.07	    ![X21 : $tType]:
0.85/1.07	      (number_number_of(X21, bit1(pls)) = one_one(X21) | ~ number_ring(X21)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_15_numeral__1__eq__1])).
0.85/1.07	tff('5', plain,
0.85/1.07	    ![X21 : $tType]:
0.85/1.07	      (number_number_of(X21, bit1(zero_zero(int))) = one_one(X21)
0.85/1.07	       | ~ number_ring(X21)),
0.85/1.07	    inference('demod', [status(thm)], ['4', '1'])).
0.85/1.07	tff('6', plain,
0.85/1.07	    (~ $true | number_number_of(int, bit1(zero_zero(int))) = one_one(int)),
0.85/1.07	    inference('sup-', [status(thm)], ['3', '5'])).
0.85/1.07	tff('7', plain, number_number_of(int, bit1(zero_zero(int))) = one_one(int),
0.85/1.07	    inference('simplify', [status(thm)], ['6'])).
0.85/1.07	tff(fact_94_int__0, axiom,
0.85/1.07	  (semiring_1_of_nat(int,zero_zero(nat)) = zero_zero(int))).
0.85/1.07	tff('8', plain, semiring_1_of_nat(int, zero_zero(nat)) = zero_zero(int),
0.85/1.07	    inference('cnf', [status(esa)], [fact_94_int__0])).
0.85/1.07	tff(fact_31_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.85/1.07	tff('9', plain, bit0(pls) = pls,
0.85/1.07	    inference('cnf', [status(esa)], [fact_31_Bit0__Pls])).
0.85/1.07	tff('10', plain, bit0(zero_zero(int)) = zero_zero(int),
0.85/1.07	    inference('demod', [status(thm)], ['9', '1', '1'])).
0.85/1.07	tff(fact_60_add__Bit0__Bit1, axiom,
0.85/1.07	  (![L:int,K:int]:
0.85/1.07	     (plus_plus(int,bit0(K),bit1(L)) = bit1(plus_plus(int,K,L))))).
0.85/1.07	tff('11', plain,
0.85/1.07	    ![X124 : int, X125 : int]:
0.85/1.07	      plus_plus(int, bit0(X124), bit1(X125))
0.85/1.07	       = bit1(plus_plus(int, X124, X125)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_60_add__Bit0__Bit1])).
0.85/1.07	tff(fact_59_add__Bit1__Bit0, axiom,
0.85/1.07	  (![L:int,K:int]:
0.85/1.07	     (plus_plus(int,bit1(K),bit0(L)) = bit1(plus_plus(int,K,L))))).
0.85/1.07	tff('12', plain,
0.85/1.07	    ![X122 : int, X123 : int]:
0.85/1.07	      plus_plus(int, bit1(X122), bit0(X123))
0.85/1.07	       = bit1(plus_plus(int, X122, X123)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_59_add__Bit1__Bit0])).
0.85/1.07	tff('13', plain,
0.85/1.07	    ![X0 : int, X1 : int]:
0.85/1.07	      plus_plus(int, bit1(X1), bit0(X0)) = plus_plus(int, bit0(X1), bit1(X0)),
0.85/1.07	    inference('sup+', [status(thm)], ['11', '12'])).
0.85/1.07	tff('14', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      plus_plus(int, bit1(X0), zero_zero(int))
0.85/1.07	       = plus_plus(int, bit0(X0), bit1(zero_zero(int))),
0.85/1.07	    inference('sup+', [status(thm)], ['10', '13'])).
0.85/1.07	tff(fact_8_add__special_I3_J, axiom,
0.85/1.07	  (![A:$tType]:
0.85/1.07	     (number_ring(A) =>
0.85/1.07	      (![V:int]:
0.85/1.07	         (plus_plus(A,number_number_of(A,V),one_one(A)) =
0.85/1.07	          number_number_of(A,plus_plus(int,V,bit1(pls)))))))).
0.85/1.07	tff('15', plain,
0.85/1.07	    ![X4 : $tType, X5 : int]:
0.85/1.07	      (plus_plus(X4, number_number_of(X4, X5), one_one(X4))
0.85/1.07	        = number_number_of(X4, plus_plus(int, X5, bit1(pls)))
0.85/1.07	       | ~ number_ring(X4)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_8_add__special_I3_J])).
0.85/1.07	tff('16', plain,
0.85/1.07	    ![X4 : $tType, X5 : int]:
0.85/1.07	      (plus_plus(X4, number_number_of(X4, X5), one_one(X4))
0.85/1.07	        = number_number_of(X4, plus_plus(int, X5, bit1(zero_zero(int))))
0.85/1.07	       | ~ number_ring(X4)),
0.85/1.07	    inference('demod', [status(thm)], ['15', '1'])).
0.85/1.07	tff('17', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      (~ $true
0.85/1.07	       | plus_plus(int, number_number_of(int, X0), one_one(int))
0.85/1.07	          = number_number_of(int, plus_plus(int, X0, bit1(zero_zero(int))))),
0.85/1.07	    inference('sup-', [status(thm)], ['3', '16'])).
0.85/1.07	tff('18', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      plus_plus(int, number_number_of(int, X0), one_one(int))
0.85/1.07	       = number_number_of(int, plus_plus(int, X0, bit1(zero_zero(int)))),
0.85/1.07	    inference('simplify', [status(thm)], ['17'])).
0.85/1.07	tff('19', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      plus_plus(int, number_number_of(int, X0), 
0.85/1.07	        number_number_of(int, bit1(zero_zero(int))))
0.85/1.07	       = number_number_of(int, plus_plus(int, X0, bit1(zero_zero(int)))),
0.85/1.07	    inference('demod', [status(thm)], ['18', '7'])).
0.85/1.07	tff('20', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      plus_plus(int, number_number_of(int, bit0(X0)), 
0.85/1.07	        number_number_of(int, bit1(zero_zero(int))))
0.85/1.07	       = number_number_of(int, plus_plus(int, bit1(X0), zero_zero(int))),
0.85/1.07	    inference('sup+', [status(thm)], ['14', '19'])).
0.85/1.07	tff(fact_53_add__number__of__eq, axiom,
0.85/1.07	  (![A:$tType]:
0.85/1.07	     (number_ring(A) =>
0.85/1.07	      (![W1:int,V:int]:
0.85/1.07	         (plus_plus(A,number_number_of(A,V),number_number_of(A,W1)) =
0.85/1.07	          number_number_of(A,plus_plus(int,V,W1))))))).
0.85/1.07	tff('21', plain,
0.85/1.07	    ![X106 : $tType, X107 : int, X108 : int]:
0.85/1.07	      (plus_plus(X106, number_number_of(X106, X107), 
0.85/1.07	         number_number_of(X106, X108))
0.85/1.07	        = number_number_of(X106, plus_plus(int, X107, X108))
0.85/1.07	       | ~ number_ring(X106)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_53_add__number__of__eq])).
0.85/1.07	tff('22', plain,
0.85/1.07	    ![X0 : int, X1 : int]:
0.85/1.07	      (~ $true
0.85/1.07	       | plus_plus(int, number_number_of(int, X1), number_number_of(int, X0))
0.85/1.07	          = number_number_of(int, plus_plus(int, X1, X0))),
0.85/1.07	    inference('sup-', [status(thm)], ['3', '21'])).
0.85/1.07	tff('23', plain,
0.85/1.07	    ![X0 : int, X1 : int]:
0.85/1.07	      plus_plus(int, number_number_of(int, X1), number_number_of(int, X0))
0.85/1.07	       = number_number_of(int, plus_plus(int, X1, X0)),
0.85/1.07	    inference('simplify', [status(thm)], ['22'])).
0.85/1.07	tff(fact_91_zero__is__num__zero, axiom,
0.85/1.07	  (zero_zero(int) = number_number_of(int,pls))).
0.85/1.07	tff('24', plain, zero_zero(int) = number_number_of(int, pls),
0.85/1.07	    inference('cnf', [status(esa)], [fact_91_zero__is__num__zero])).
0.85/1.07	tff('25', plain, zero_zero(int) = number_number_of(int, zero_zero(int)),
0.85/1.07	    inference('demod', [status(thm)], ['24', '1'])).
0.85/1.07	tff('26', plain,
0.85/1.07	    ![X0 : int]:
0.85/1.07	      plus_plus(int, number_number_of(int, bit0(X0)), 
0.85/1.07	        number_number_of(int, bit1(zero_zero(int))))
0.85/1.07	       = plus_plus(int, number_number_of(int, bit1(X0)), zero_zero(int)),
0.85/1.07	    inference('demod', [status(thm)], ['20', '23', '25'])).
0.85/1.07	tff(fact_90_int__1, axiom,
0.85/1.07	  (semiring_1_of_nat(int,one_one(nat)) = one_one(int))).
0.85/1.07	tff('27', plain, semiring_1_of_nat(int, one_one(nat)) = one_one(int),
0.85/1.07	    inference('cnf', [status(esa)], [fact_90_int__1])).
0.85/1.07	tff(fact_78_plus__nat_Oadd__0, axiom,
0.85/1.07	  (![N1:nat]: (plus_plus(nat,zero_zero(nat),N1) = N1))).
0.85/1.07	tff('28', plain, ![X170 : nat]: plus_plus(nat, zero_zero(nat), X170) = X170,
0.85/1.07	    inference('cnf', [status(esa)], [fact_78_plus__nat_Oadd__0])).
0.85/1.07	tff(fact_85_zadd__int, axiom,
0.85/1.07	  (![N1:nat,M:nat]:
0.85/1.07	     (plus_plus(int,semiring_1_of_nat(int,M),semiring_1_of_nat(int,N1)) =
0.85/1.07	      semiring_1_of_nat(int,plus_plus(nat,M,N1))))).
0.85/1.07	tff('29', plain,
0.85/1.07	    ![X180 : nat, X181 : nat]:
0.85/1.07	      plus_plus(int, semiring_1_of_nat(int, X180), 
0.85/1.07	        semiring_1_of_nat(int, X181))
0.85/1.07	       = semiring_1_of_nat(int, plus_plus(nat, X180, X181)),
0.85/1.07	    inference('cnf', [status(esa)], [fact_85_zadd__int])).
0.85/1.07	tff('30', plain,
0.85/1.07	    ![X0 : nat]:
0.85/1.07	      plus_plus(int, semiring_1_of_nat(int, zero_zero(nat)), 
0.85/1.07	        semiring_1_of_nat(int, X0))
0.85/1.07	       = semiring_1_of_nat(int, X0),
0.85/1.07	    inference('sup+', [status(thm)], ['28', '29'])).
0.85/1.07	tff('31', plain,
0.85/1.07	    ![X0 : nat]:
0.85/1.07	      plus_plus(int, zero_zero(int), semiring_1_of_nat(int, X0))
0.85/1.07	       = semiring_1_of_nat(int, X0),
0.85/1.07	    inference('demod', [status(thm)], ['30', '8'])).
0.85/1.07	tff('32', plain,
0.85/1.07	    plus_plus(int, zero_zero(int), one_one(int))
0.85/1.07	     = semiring_1_of_nat(int, one_one(nat)),
0.85/1.07	    inference('sup+', [status(thm)], ['27', '31'])).
0.85/1.07	tff('33', plain, plus_plus(int, zero_zero(int), one_one(int)) = one_one(int),
0.85/1.07	    inference('sup+', [status(thm)], ['32', '27'])).
0.85/1.07	tff('34', plain,
0.85/1.07	    plus_plus(int, zero_zero(int), 
0.85/1.07	      number_number_of(int, bit1(zero_zero(int))))
0.85/1.07	     = number_number_of(int, bit1(zero_zero(int))),
0.85/1.07	    inference('demod', [status(thm)], ['33', '7', '7'])).
0.85/1.07	tff(conj_1, conjecture,
0.85/1.07	  (~
0.85/1.07	    twoSqu1567020053sum2sq(times_times(int,
0.85/1.07	                                       plus_plus(int,
0.85/1.07	                                                 times_times(int,
0.85/1.07	                                                             number_number_of(
0.85/1.07	                                                             int,
0.85/1.07	                                                             bit0(bit0(
0.85/1.07	                                                                  bit1(pls)))),
0.85/1.07	                                                             m),
0.85/1.07	                                                 one_one(int)),
0.85/1.07	                                       plus_plus(int,one_one(int),
0.85/1.07	                                                 semiring_1_of_nat(int,
0.85/1.07	                                                                   zero_zero(
0.85/1.07	                                                                   nat))))))).
0.85/1.07	tff(zf_stmt_0, negated_conjecture,
0.85/1.07	  (twoSqu1567020053sum2sq(times_times(int,
0.85/1.07	                                      plus_plus(int,
0.85/1.07	                                                times_times(int,
0.85/1.07	                                                            number_number_of(
0.85/1.07	                                                            int,
0.85/1.07	                                                            bit0(bit0(
0.85/1.07	                                                                 bit1(pls)))),
0.85/1.07	                                                            m),
0.85/1.07	                                                one_one(int)),
0.85/1.07	                                      plus_plus(int,one_one(int),
0.85/1.07	                                                semiring_1_of_nat(int,
0.85/1.07	                                                                  zero_zero(
0.85/1.07	                                                                  nat))))))).
0.85/1.07	tff('35', plain,
0.85/1.07	    twoSqu1567020053sum2sq(
0.85/1.07	      times_times(int, 
0.85/1.07	        plus_plus(int, 
0.85/1.07	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.85/1.07	          one_one(int)), 
0.85/1.07	        plus_plus(int, one_one(int), semiring_1_of_nat(int, zero_zero(nat))))),
0.85/1.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.85/1.07	tff(fact_77_Nat_Oadd__0__right, axiom,
0.85/1.07	  (![M:nat]: (plus_plus(nat,M,zero_zero(nat)) = M))).
0.85/1.07	tff('36', plain, ![X169 : nat]: plus_plus(nat, X169, zero_zero(nat)) = X169,
0.85/1.07	    inference('cnf', [status(esa)], [fact_77_Nat_Oadd__0__right])).
0.85/1.07	tff('37', plain,
0.85/1.07	    ![X0 : nat]:
0.85/1.07	      plus_plus(int, semiring_1_of_nat(int, X0), 
0.85/1.07	        semiring_1_of_nat(int, zero_zero(nat)))
0.85/1.07	       = semiring_1_of_nat(int, X0),
0.85/1.07	    inference('sup+', [status(thm)], ['36', '29'])).
0.85/1.07	tff('38', plain,
0.85/1.07	    ![X0 : nat]:
0.85/1.07	      plus_plus(int, semiring_1_of_nat(int, X0), zero_zero(int))
0.85/1.07	       = semiring_1_of_nat(int, X0),
0.85/1.07	    inference('demod', [status(thm)], ['37', '8'])).
0.85/1.07	tff('39', plain,
0.85/1.07	    plus_plus(int, one_one(int), zero_zero(int))
0.85/1.07	     = semiring_1_of_nat(int, one_one(nat)),
0.85/1.07	    inference('sup+', [status(thm)], ['27', '38'])).
0.85/1.07	tff('40', plain, plus_plus(int, one_one(int), zero_zero(int)) = one_one(int),
0.85/1.07	    inference('sup+', [status(thm)], ['39', '27'])).
0.85/1.07	tff('41', plain,
0.85/1.07	    plus_plus(int, number_number_of(int, bit1(zero_zero(int))), 
0.85/1.07	      zero_zero(int))
0.85/1.07	     = number_number_of(int, bit1(zero_zero(int))),
0.85/1.07	    inference('demod', [status(thm)], ['40', '7', '7'])).
0.85/1.07	tff('42', plain,
0.85/1.07	    twoSqu1567020053sum2sq(
0.85/1.07	      times_times(int, 
0.85/1.07	        plus_plus(int, 
0.85/1.07	          times_times(int, 
0.85/1.07	            number_number_of(int, bit0(bit0(bit1(zero_zero(int))))), m), 
0.85/1.07	          number_number_of(int, bit1(zero_zero(int)))), 
0.85/1.07	        number_number_of(int, bit1(zero_zero(int))))),
0.85/1.07	    inference('demod', [status(thm)], ['35', '1', '7', '7', '8', '41'])).
0.85/1.07	tff('43', plain, ~ $true,
0.85/1.07	    inference('demod', [status(thm)],
0.85/1.07	              ['2', '7', '7', '8', '26', '10', '25', '34', '42'])).
0.85/1.07	tff('44', plain, $false, inference('simplify', [status(thm)], ['43'])).
0.85/1.07	
0.85/1.07	% SZS output end Refutation
0.85/1.07	EOF
