0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : kbo
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n101.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 07:39:53 CST 2018
78.73/78.92	% done 15849 iterations in 78.721s
78.73/78.92	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
78.73/78.92	% SZS output start Refutation
78.73/78.92	tff(fact_68_add__Pls, axiom, (![K:int]: (plus_plus(int,pls,K) = K))).
78.73/78.92	tff('0', plain, ![X164 : int]: plus_plus(int, pls, X164) = X164,
78.73/78.92	    inference('cnf', [status(esa)], [fact_68_add__Pls])).
78.73/78.92	tff(fact_50_zle__add1__eq__le, axiom,
78.73/78.92	  (![Z1:int,W1:int]:
78.73/78.92	     (ord_less(int,W1,plus_plus(int,Z1,one_one(int))) <=>
78.73/78.92	      ord_less_eq(int,W1,Z1)))).
78.73/78.92	tff('1', plain,
78.73/78.92	    ![X114 : int, X115 : int]:
78.73/78.92	      (ord_less(int, X115, plus_plus(int, X114, one_one(int)))
78.73/78.92	       | ~ ord_less_eq(int, X115, X114)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_50_zle__add1__eq__le])).
78.73/78.92	tff(fact_86_one__is__num__one, axiom,
78.73/78.92	  (one_one(int) = number_number_of(int,bit1(pls)))).
78.73/78.92	tff('2', plain, one_one(int) = number_number_of(int, bit1(pls)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_86_one__is__num__one])).
78.73/78.92	tff(fact_59_number__of__is__id, axiom,
78.73/78.92	  (![K:int]: (number_number_of(int,K) = K))).
78.73/78.92	tff('3', plain, ![X142 : int]: number_number_of(int, X142) = X142,
78.73/78.92	    inference('cnf', [status(esa)], [fact_59_number__of__is__id])).
78.73/78.92	tff('4', plain, one_one(int) = bit1(pls),
78.73/78.92	    inference('demod', [status(thm)], ['2', '3'])).
78.73/78.92	tff('5', plain,
78.73/78.92	    ![X114 : int, X115 : int]:
78.73/78.92	      (ord_less(int, X115, plus_plus(int, X114, bit1(pls)))
78.73/78.92	       | ~ ord_less_eq(int, X115, X114)),
78.73/78.92	    inference('demod', [status(thm)], ['1', '4'])).
78.73/78.92	tff('6', plain,
78.73/78.92	    ![X0 : int]: (ord_less(int, X0, bit1(pls)) | ~ ord_less_eq(int, X0, pls)),
78.73/78.92	    inference('sup+', [status(thm)], ['0', '5'])).
78.73/78.92	tff(fact_0__0961_A_060_061_Am_096, axiom, (ord_less_eq(int,one_one(int),m))).
78.73/78.92	tff('7', plain, ord_less_eq(int, one_one(int), m),
78.73/78.92	    inference('cnf', [status(esa)], [fact_0__0961_A_060_061_Am_096])).
78.73/78.92	tff('8', plain, ord_less_eq(int, bit1(pls), m),
78.73/78.92	    inference('demod', [status(thm)], ['7', '4'])).
78.73/78.92	tff(fact_58_le__number__of__eq__not__less, axiom,
78.73/78.92	  (![A:$tType]:
78.73/78.92	     ((linorder(A) & number(A)) =>
78.73/78.92	      (![W1:int,V:int]:
78.73/78.92	         (ord_less_eq(A,number_number_of(A,V),number_number_of(A,W1)) <=>
78.73/78.92	          (~ord_less(A,number_number_of(A,W1),number_number_of(A,V)))))))).
78.73/78.92	tff('9', plain,
78.73/78.92	    ![X138 : $tType, X139 : int, X141 : int]:
78.73/78.92	      (~ ord_less_eq(X138, number_number_of(X138, X141), 
78.73/78.92	           number_number_of(X138, X139))
78.73/78.92	       | ~ ord_less(X138, number_number_of(X138, X139), 
78.73/78.92	             number_number_of(X138, X141))
78.73/78.92	       | ~ number(X138)
78.73/78.92	       | ~ linorder(X138)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_58_le__number__of__eq__not__less])).
78.73/78.92	tff('10', plain,
78.73/78.92	    ![X0 : int, X1 : int]:
78.73/78.92	      (~ ord_less_eq(int, X0, number_number_of(int, X1))
78.73/78.92	       | ~ linorder(int)
78.73/78.92	       | ~ number(int)
78.73/78.92	       | ~ ord_less(int, number_number_of(int, X1), 
78.73/78.92	             number_number_of(int, X0))),
78.73/78.92	    inference('sup-', [status(thm)], ['3', '9'])).
78.73/78.92	tff(arity_Int_Oint___Orderings_Olinorder, axiom, (linorder(int))).
78.73/78.92	tff('11', plain, linorder(int),
78.73/78.92	    inference('cnf', [status(esa)], [arity_Int_Oint___Orderings_Olinorder])).
78.73/78.92	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
78.73/78.92	tff('12', plain, number(int),
78.73/78.92	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
78.73/78.92	tff('13', plain,
78.73/78.92	    ![X0 : int, X1 : int]:
78.73/78.92	      (~ ord_less_eq(int, X0, X1)
78.73/78.92	       | ~ $true
78.73/78.92	       | ~ $true
78.73/78.92	       | ~ ord_less(int, X1, X0)),
78.73/78.92	    inference('demod', [status(thm)], ['10', '3', '11', '12', '3', '3'])).
78.73/78.92	tff('14', plain,
78.73/78.92	    ![X0 : int, X1 : int]:
78.73/78.92	      (~ ord_less(int, X1, X0) | ~ ord_less_eq(int, X0, X1)),
78.73/78.92	    inference('simplify', [status(thm)], ['13'])).
78.73/78.92	tff('15', plain, (~ $true | ~ ord_less(int, m, bit1(pls))),
78.73/78.92	    inference('sup-', [status(thm)], ['8', '14'])).
78.73/78.92	tff('16', plain, ~ ord_less(int, m, bit1(pls)),
78.73/78.92	    inference('simplify', [status(thm)], ['15'])).
78.73/78.92	tff('17', plain, (~ $true | ~ ord_less_eq(int, m, pls)),
78.73/78.92	    inference('sup-', [status(thm)], ['6', '16'])).
78.73/78.92	tff('18', plain,
78.73/78.92	    ![X138 : $tType, X139 : int, X140 : int]:
78.73/78.92	      (ord_less(X138, number_number_of(X138, X139), 
78.73/78.92	         number_number_of(X138, X140))
78.73/78.92	       | ord_less_eq(X138, number_number_of(X138, X140), 
78.73/78.92	           number_number_of(X138, X139))
78.73/78.92	       | ~ number(X138)
78.73/78.92	       | ~ linorder(X138)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_58_le__number__of__eq__not__less])).
78.73/78.92	tff('19', plain,
78.73/78.92	    ![X0 : int, X1 : int]:
78.73/78.92	      (ord_less_eq(int, X0, number_number_of(int, X1))
78.73/78.92	       | ~ linorder(int)
78.73/78.92	       | ~ number(int)
78.73/78.92	       | ord_less(int, number_number_of(int, X1), number_number_of(int, X0))),
78.73/78.92	    inference('sup+', [status(thm)], ['3', '18'])).
78.73/78.92	tff('20', plain,
78.73/78.92	    ![X0 : int, X1 : int]:
78.73/78.92	      (ord_less_eq(int, X0, X1) | ~ $true | ~ $true | ord_less(int, X1, X0)),
78.73/78.92	    inference('demod', [status(thm)], ['19', '3', '11', '12', '3', '3'])).
78.73/78.92	tff('21', plain,
78.73/78.92	    ![X0 : int, X1 : int]: (ord_less(int, X1, X0) | ord_less_eq(int, X0, X1)),
78.73/78.92	    inference('simplify', [status(thm)], ['20'])).
78.73/78.92	tff(fact_49_rel__simps_I15_J, axiom,
78.73/78.92	  (![L:int,K3:int]:
78.73/78.92	     (ord_less(int,bit0(K3),bit1(L)) <=> ord_less_eq(int,K3,L)))).
78.73/78.92	tff('22', plain,
78.73/78.92	    ![X111 : int, X112 : int]:
78.73/78.92	      (ord_less(int, bit0(X112), bit1(X111)) | ~ ord_less_eq(int, X112, X111)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_49_rel__simps_I15_J])).
78.73/78.92	tff(conj_0, conjecture,
78.73/78.92	  (ord_less(int,number_number_of(int,bit0(bit1(pls))),
78.73/78.92	            plus_plus(int,
78.73/78.92	                      times_times(int,
78.73/78.92	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
78.73/78.92	                                  m),
78.73/78.92	                      one_one(int))))).
78.73/78.92	tff(zf_stmt_0, negated_conjecture,
78.73/78.92	  (~
78.73/78.92	    ord_less(int,number_number_of(int,bit0(bit1(pls))),
78.73/78.92	             plus_plus(int,
78.73/78.92	                       times_times(int,
78.73/78.92	                                   number_number_of(int,bit0(bit0(bit1(pls)))),
78.73/78.92	                                   m),
78.73/78.92	                       one_one(int))))).
78.73/78.92	tff('23', plain,
78.73/78.92	    ~ ord_less(int, number_number_of(int, bit0(bit1(pls))), 
78.73/78.92	        plus_plus(int, 
78.73/78.92	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
78.73/78.92	          one_one(int))),
78.73/78.92	    inference('cnf', [status(esa)], [zf_stmt_0])).
78.73/78.92	tff(fact_31_mult__Bit0, axiom,
78.73/78.92	  (![L1:int,K:int]:
78.73/78.92	     (times_times(int,bit0(K),L1) = bit0(times_times(int,K,L1))))).
78.73/78.92	tff('24', plain,
78.73/78.92	    ![X58 : int, X59 : int]:
78.73/78.92	      times_times(int, bit0(X58), X59) = bit0(times_times(int, X58, X59)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_31_mult__Bit0])).
78.73/78.92	tff(fact_30_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
78.73/78.92	tff('25', plain, ![X57 : int]: times_times(int, pls, X57) = pls,
78.73/78.92	    inference('cnf', [status(esa)], [fact_30_mult__Pls])).
78.73/78.92	tff(fact_7_mult__Bit1, axiom,
78.73/78.92	  (![L1:int,K:int]:
78.73/78.92	     (times_times(int,bit1(K),L1) =
78.73/78.92	      plus_plus(int,bit0(times_times(int,K,L1)),L1)))).
78.73/78.92	tff('26', plain,
78.73/78.92	    ![X11 : int, X12 : int]:
78.73/78.92	      times_times(int, bit1(X11), X12)
78.73/78.92	       = plus_plus(int, bit0(times_times(int, X11, X12)), X12),
78.73/78.92	    inference('cnf', [status(esa)], [fact_7_mult__Bit1])).
78.73/78.92	tff('27', plain,
78.73/78.92	    ![X0 : int]:
78.73/78.92	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
78.73/78.92	    inference('sup+', [status(thm)], ['25', '26'])).
78.73/78.92	tff(fact_23_Bit0__Pls, axiom, (bit0(pls) = pls)).
78.73/78.92	tff('28', plain, bit0(pls) = pls,
78.73/78.92	    inference('cnf', [status(esa)], [fact_23_Bit0__Pls])).
78.73/78.92	tff('29', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
78.73/78.92	    inference('demod', [status(thm)], ['27', '28', '0'])).
78.73/78.92	tff(fact_9_add__Bit0__Bit1, axiom,
78.73/78.92	  (![L1:int,K:int]:
78.73/78.92	     (plus_plus(int,bit0(K),bit1(L1)) = bit1(plus_plus(int,K,L1))))).
78.73/78.92	tff('30', plain,
78.73/78.92	    ![X14 : int, X15 : int]:
78.73/78.92	      plus_plus(int, bit0(X14), bit1(X15)) = bit1(plus_plus(int, X14, X15)),
78.73/78.92	    inference('cnf', [status(esa)], [fact_9_add__Bit0__Bit1])).
78.73/78.92	tff(fact_67_add__Pls__right, axiom, (![K:int]: (plus_plus(int,K,pls) = K))).
78.73/78.92	tff('31', plain, ![X163 : int]: plus_plus(int, X163, pls) = X163,
78.73/78.92	    inference('cnf', [status(esa)], [fact_67_add__Pls__right])).
78.73/78.92	tff('32', plain, ~ ord_less(int, bit0(bit1(pls)), bit1(bit0(m))),
78.73/78.92	    inference('demod', [status(thm)],
78.73/78.92	              ['23', '3', '3', '24', '24', '29', '4', '30', '31'])).
78.73/78.92	tff('33', plain, (~ $true | ~ ord_less_eq(int, bit1(pls), bit0(m))),
78.73/78.92	    inference('sup-', [status(thm)], ['22', '32'])).
78.73/78.92	tff('34', plain, ~ ord_less_eq(int, bit1(pls), bit0(m)),
78.73/78.92	    inference('simplify', [status(thm)], ['33'])).
78.73/78.92	tff('35', plain, (~ $true | ord_less(int, bit0(m), bit1(pls))),
78.73/78.92	    inference('sup-', [status(thm)], ['21', '34'])).
78.73/78.92	tff('36', plain, ord_less(int, bit0(m), bit1(pls)),
78.73/78.92	    inference('simplify', [status(thm)], ['35'])).
78.73/78.92	tff('37', plain,
78.73/78.92	    ![X110 : int, X111 : int]:
78.73/78.92	      (ord_less_eq(int, X110, X111) | ~ ord_less(int, bit0(X110), bit1(X111))),
78.73/78.92	    inference('cnf', [status(esa)], [fact_49_rel__simps_I15_J])).
78.73/78.92	tff('38', plain, (~ $true | ord_less_eq(int, m, pls)),
78.73/78.92	    inference('sup-', [status(thm)], ['36', '37'])).
78.73/78.92	tff('39', plain, ord_less_eq(int, m, pls),
78.73/78.92	    inference('simplify', [status(thm)], ['38'])).
78.73/78.92	tff('40', plain, (~ $true | ~ $true),
78.73/78.92	    inference('demod', [status(thm)], ['17', '39'])).
78.73/78.92	tff('41', plain, $false, inference('simplify', [status(thm)], ['40'])).
78.73/78.92	
78.73/78.92	% SZS output end Refutation
78.73/78.93	EOF
