TSTP Solution File: SYO607+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:18:14 EDT 2023
% Result : Theorem 3.59s 2.06s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 111 ( 43 unt; 12 typ; 0 def)
% Number of atoms : 228 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 208 ( 79 ~; 114 |; 12 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 147 (; 135 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ g_true_only > g_true > g_false_only > g_false > g_both > #nlpp > a > #skF_5 > #skF_2 > #skF_1 > #skF_6 > #skF_3 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(a,type,
a: $i ).
tff(g_false_only,type,
g_false_only: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(g_both,type,
g_both: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(g_false,type,
g_false: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(g_true,type,
g_true: ( $i * $i ) > $o ).
tff(g_true_only,type,
g_true_only: ( $i * $i ) > $o ).
tff(f_85,axiom,
! [X_2,X_1] :
( g_both(X_2,X_1)
<=> ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
tff(f_98,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
| g_both(X_2,X_1)
| g_false_only(X_2,X_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
tff(f_72,negated_conjecture,
~ ( ? [A] :
( g_false_only(a,A)
& ? [B] : g_false_only(A,B) )
| ? [A] :
! [B] : g_true_only(A,B)
| ( ? [A] :
( ( g_both(a,A)
| ( ? [B] : g_both(A,B)
& ~ ? [B] : g_false_only(A,B) ) )
& ~ g_true_only(a,A)
& ~ ! [B] : g_true_only(A,B) )
& ~ ? [A] :
( g_false_only(a,A)
& ? [B] : g_false_only(A,B) )
& ? [A] :
( ? [B] : g_both(A,B)
& ~ ? [B] : g_false_only(A,B) )
& ~ ? [A] :
! [B] : g_true_only(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc6) ).
tff(f_92,axiom,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
<=> ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
tff(f_79,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
<=> ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
tff(c_22,plain,
! [X_2_21,X_1_22] :
( g_false(X_2_21,X_1_22)
| ~ g_both(X_2_21,X_1_22) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_373,plain,
! [X_2_78,X_1_79] :
( g_false_only(X_2_78,X_1_79)
| g_both(X_2_78,X_1_79)
| g_true_only(X_2_78,X_1_79) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2,plain,
! [A_4] : ~ g_true_only(A_4,'#skF_1'(A_4)),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_387,plain,
! [X_2_80] :
( g_false_only(X_2_80,'#skF_1'(X_2_80))
| g_both(X_2_80,'#skF_1'(X_2_80)) ),
inference(resolution,[status(thm)],[c_373,c_2]) ).
tff(c_4,plain,
! [A_1,B_3] :
( ~ g_false_only(A_1,B_3)
| ~ g_false_only(a,A_1) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_397,plain,
! [X_2_80] :
( ~ g_false_only(a,X_2_80)
| g_both(X_2_80,'#skF_1'(X_2_80)) ),
inference(resolution,[status(thm)],[c_387,c_4]) ).
tff(c_58,plain,
! [X_2_44,X_1_45] :
( g_false_only(X_2_44,X_1_45)
| g_both(X_2_44,X_1_45)
| g_true_only(X_2_44,X_1_45) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_86,plain,
! [X_2_48] :
( g_false_only(X_2_48,'#skF_1'(X_2_48))
| g_both(X_2_48,'#skF_1'(X_2_48)) ),
inference(resolution,[status(thm)],[c_58,c_2]) ).
tff(c_96,plain,
! [X_2_48] :
( ~ g_false_only(a,X_2_48)
| g_both(X_2_48,'#skF_1'(X_2_48)) ),
inference(resolution,[status(thm)],[c_86,c_4]) ).
tff(c_12,plain,
! [B_16,B_11,A_13,B_18,A_6] :
( ~ g_both(a,A_6)
| g_false_only(a,'#skF_3')
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_46,plain,
g_false_only(a,'#skF_3'),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_30,plain,
! [X_2_23,X_1_24] :
( g_false(X_2_23,X_1_24)
| ~ g_false_only(X_2_23,X_1_24) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_57,plain,
g_false(a,'#skF_3'),
inference(resolution,[status(thm)],[c_46,c_30]) ).
tff(c_97,plain,
! [X_2_48] :
( g_false(X_2_48,'#skF_1'(X_2_48))
| g_both(X_2_48,'#skF_1'(X_2_48)) ),
inference(resolution,[status(thm)],[c_86,c_30]) ).
tff(c_26,plain,
! [X_2_23,X_1_24] :
( g_false_only(X_2_23,X_1_24)
| g_true(X_2_23,X_1_24)
| ~ g_false(X_2_23,X_1_24) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_132,plain,
! [X_2_54,X_1_55] :
( g_both(X_2_54,X_1_55)
| ~ g_false(X_2_54,X_1_55)
| ~ g_true(X_2_54,X_1_55) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_157,plain,
! [X_2_57,X_1_58] :
( g_both(X_2_57,X_1_58)
| g_false_only(X_2_57,X_1_58)
| ~ g_false(X_2_57,X_1_58) ),
inference(resolution,[status(thm)],[c_26,c_132]) ).
tff(c_207,plain,
! [X_2_64,X_1_65] :
( ~ g_false_only(a,X_2_64)
| g_both(X_2_64,X_1_65)
| ~ g_false(X_2_64,X_1_65) ),
inference(resolution,[status(thm)],[c_157,c_4]) ).
tff(c_220,plain,
! [X_1_66] :
( g_both('#skF_3',X_1_66)
| ~ g_false('#skF_3',X_1_66) ),
inference(resolution,[status(thm)],[c_46,c_207]) ).
tff(c_229,plain,
g_both('#skF_3','#skF_1'('#skF_3')),
inference(resolution,[status(thm)],[c_97,c_220]) ).
tff(c_8,plain,
! [B_16,B_11,A_13,B_18,A_6] :
( ~ g_both(a,A_6)
| g_false_only('#skF_3','#skF_4')
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_105,plain,
g_false_only('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_110,plain,
~ g_false_only(a,'#skF_3'),
inference(resolution,[status(thm)],[c_105,c_4]) ).
tff(c_118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_110]) ).
tff(c_120,plain,
~ g_false_only('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_6,plain,
! [B_16,B_11,A_13,B_10,B_18,A_6] :
( g_false_only(A_6,'#skF_2'(A_6))
| ~ g_both(A_6,B_10)
| g_false_only('#skF_3','#skF_4')
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_178,plain,
! [B_16,B_11,A_13,B_10,B_18,A_6] :
( g_false_only(A_6,'#skF_2'(A_6))
| ~ g_both(A_6,B_10)
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(negUnitSimplification,[status(thm)],[c_120,c_6]) ).
tff(c_179,plain,
! [A_6,B_10,B_11] :
( g_false_only(A_6,'#skF_2'(A_6))
| ~ g_both(A_6,B_10)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(splitLeft,[status(thm)],[c_178]) ).
tff(c_233,plain,
! [B_11] :
( g_false_only('#skF_3','#skF_2'('#skF_3'))
| g_true_only('#skF_3',B_11)
| g_true_only(a,'#skF_3') ),
inference(resolution,[status(thm)],[c_229,c_179]) ).
tff(c_234,plain,
g_true_only(a,'#skF_3'),
inference(splitLeft,[status(thm)],[c_233]) ).
tff(c_16,plain,
! [X_2_19,X_1_20] :
( ~ g_false(X_2_19,X_1_20)
| ~ g_true_only(X_2_19,X_1_20) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_237,plain,
~ g_false(a,'#skF_3'),
inference(resolution,[status(thm)],[c_234,c_16]) ).
tff(c_244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57,c_237]) ).
tff(c_245,plain,
! [B_11] :
( g_false_only('#skF_3','#skF_2'('#skF_3'))
| g_true_only('#skF_3',B_11) ),
inference(splitRight,[status(thm)],[c_233]) ).
tff(c_280,plain,
g_false_only('#skF_3','#skF_2'('#skF_3')),
inference(splitLeft,[status(thm)],[c_245]) ).
tff(c_296,plain,
~ g_false_only(a,'#skF_3'),
inference(resolution,[status(thm)],[c_280,c_4]) ).
tff(c_304,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_296]) ).
tff(c_307,plain,
! [B_71] : g_true_only('#skF_3',B_71),
inference(splitRight,[status(thm)],[c_245]) ).
tff(c_320,plain,
$false,
inference(resolution,[status(thm)],[c_307,c_2]) ).
tff(c_321,plain,
! [A_13,B_16,B_18] :
( g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only('#skF_6',B_18) ),
inference(splitRight,[status(thm)],[c_178]) ).
tff(c_328,plain,
! [B_72] : g_true_only('#skF_6',B_72),
inference(splitLeft,[status(thm)],[c_321]) ).
tff(c_341,plain,
$false,
inference(resolution,[status(thm)],[c_328,c_2]) ).
tff(c_348,plain,
! [A_73,B_74] :
( g_false_only(A_73,'#skF_5'(A_73))
| ~ g_both(A_73,B_74) ),
inference(splitRight,[status(thm)],[c_321]) ).
tff(c_352,plain,
! [X_2_75] :
( g_false_only(X_2_75,'#skF_5'(X_2_75))
| ~ g_false_only(a,X_2_75) ),
inference(resolution,[status(thm)],[c_96,c_348]) ).
tff(c_362,plain,
! [X_2_75] : ~ g_false_only(a,X_2_75),
inference(resolution,[status(thm)],[c_352,c_4]) ).
tff(c_365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362,c_46]) ).
tff(c_366,plain,
! [B_16,B_11,A_13,B_18,A_6] :
( ~ g_both(a,A_6)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only('#skF_6',B_18) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_437,plain,
! [B_87] : g_true_only('#skF_6',B_87),
inference(splitLeft,[status(thm)],[c_366]) ).
tff(c_450,plain,
$false,
inference(resolution,[status(thm)],[c_437,c_2]) ).
tff(c_451,plain,
! [A_6,B_11,A_13,B_16] :
( ~ g_both(a,A_6)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16) ),
inference(splitRight,[status(thm)],[c_366]) ).
tff(c_500,plain,
! [A_93,B_94] :
( g_false_only(A_93,'#skF_5'(A_93))
| ~ g_both(A_93,B_94) ),
inference(splitLeft,[status(thm)],[c_451]) ).
tff(c_504,plain,
! [X_2_95] :
( g_false_only(X_2_95,'#skF_5'(X_2_95))
| ~ g_false_only(a,X_2_95) ),
inference(resolution,[status(thm)],[c_397,c_500]) ).
tff(c_514,plain,
! [X_2_95] : ~ g_false_only(a,X_2_95),
inference(resolution,[status(thm)],[c_504,c_4]) ).
tff(c_386,plain,
! [X_2_78] :
( g_false_only(X_2_78,'#skF_1'(X_2_78))
| g_both(X_2_78,'#skF_1'(X_2_78)) ),
inference(resolution,[status(thm)],[c_373,c_2]) ).
tff(c_516,plain,
! [X_2_96] : ~ g_false_only(a,X_2_96),
inference(resolution,[status(thm)],[c_504,c_4]) ).
tff(c_526,plain,
g_both(a,'#skF_1'(a)),
inference(resolution,[status(thm)],[c_386,c_516]) ).
tff(c_499,plain,
! [A_13,B_16] :
( g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16) ),
inference(splitLeft,[status(thm)],[c_451]) ).
tff(c_529,plain,
g_false_only(a,'#skF_5'(a)),
inference(resolution,[status(thm)],[c_526,c_499]) ).
tff(c_533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_514,c_529]) ).
tff(c_549,plain,
! [A_97,B_98] :
( ~ g_both(a,A_97)
| g_true_only(A_97,B_98)
| g_true_only(a,A_97) ),
inference(splitRight,[status(thm)],[c_451]) ).
tff(c_694,plain,
! [A_109] :
( ~ g_both(a,A_109)
| g_true_only(a,A_109) ),
inference(resolution,[status(thm)],[c_549,c_2]) ).
tff(c_749,plain,
! [A_113] :
( ~ g_false(a,A_113)
| ~ g_both(a,A_113) ),
inference(resolution,[status(thm)],[c_694,c_16]) ).
tff(c_760,plain,
! [X_1_22] : ~ g_both(a,X_1_22),
inference(resolution,[status(thm)],[c_22,c_749]) ).
tff(c_575,plain,
! [A_99] :
( ~ g_both(a,A_99)
| g_true_only(a,A_99) ),
inference(resolution,[status(thm)],[c_549,c_2]) ).
tff(c_614,plain,
! [A_102] :
( ~ g_false(a,A_102)
| ~ g_both(a,A_102) ),
inference(resolution,[status(thm)],[c_575,c_16]) ).
tff(c_625,plain,
! [X_1_22] : ~ g_both(a,X_1_22),
inference(resolution,[status(thm)],[c_22,c_614]) ).
tff(c_398,plain,
! [X_2_80] :
( g_false(X_2_80,'#skF_1'(X_2_80))
| g_both(X_2_80,'#skF_1'(X_2_80)) ),
inference(resolution,[status(thm)],[c_387,c_30]) ).
tff(c_588,plain,
~ g_both(a,'#skF_1'(a)),
inference(resolution,[status(thm)],[c_575,c_2]) ).
tff(c_413,plain,
! [X_2_83,X_1_84] :
( g_both(X_2_83,X_1_84)
| ~ g_false(X_2_83,X_1_84)
| ~ g_true(X_2_83,X_1_84) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_463,plain,
! [X_2_89,X_1_90] :
( g_both(X_2_89,X_1_90)
| g_false_only(X_2_89,X_1_90)
| ~ g_false(X_2_89,X_1_90) ),
inference(resolution,[status(thm)],[c_26,c_413]) ).
tff(c_599,plain,
! [X_2_100,X_1_101] :
( ~ g_false_only(a,X_2_100)
| g_both(X_2_100,X_1_101)
| ~ g_false(X_2_100,X_1_101) ),
inference(resolution,[status(thm)],[c_463,c_4]) ).
tff(c_605,plain,
! [X_1_101] :
( g_both('#skF_1'(a),X_1_101)
| ~ g_false('#skF_1'(a),X_1_101)
| g_both(a,'#skF_1'(a)) ),
inference(resolution,[status(thm)],[c_386,c_599]) ).
tff(c_632,plain,
! [X_1_104] :
( g_both('#skF_1'(a),X_1_104)
| ~ g_false('#skF_1'(a),X_1_104) ),
inference(negUnitSimplification,[status(thm)],[c_588,c_605]) ).
tff(c_641,plain,
g_both('#skF_1'(a),'#skF_1'('#skF_1'(a))),
inference(resolution,[status(thm)],[c_398,c_632]) ).
tff(c_367,plain,
~ g_false_only(a,'#skF_3'),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10,plain,
! [B_16,B_11,A_13,B_10,B_18,A_6] :
( g_false_only(A_6,'#skF_2'(A_6))
| ~ g_both(A_6,B_10)
| g_false_only(a,'#skF_3')
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_573,plain,
! [B_16,B_11,A_13,B_10,B_18,A_6] :
( g_false_only(A_6,'#skF_2'(A_6))
| ~ g_both(A_6,B_10)
| g_true_only('#skF_6',B_18)
| g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only(A_6,B_11)
| g_true_only(a,A_6) ),
inference(negUnitSimplification,[status(thm)],[c_367,c_10]) ).
tff(c_643,plain,
! [A_105,B_106,B_107] :
( g_false_only(A_105,'#skF_2'(A_105))
| ~ g_both(A_105,B_106)
| g_true_only(A_105,B_107)
| g_true_only(a,A_105) ),
inference(splitLeft,[status(thm)],[c_573]) ).
tff(c_645,plain,
! [B_107] :
( g_false_only('#skF_1'(a),'#skF_2'('#skF_1'(a)))
| g_true_only('#skF_1'(a),B_107)
| g_true_only(a,'#skF_1'(a)) ),
inference(resolution,[status(thm)],[c_641,c_643]) ).
tff(c_650,plain,
! [B_107] :
( g_false_only('#skF_1'(a),'#skF_2'('#skF_1'(a)))
| g_true_only('#skF_1'(a),B_107) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_645]) ).
tff(c_652,plain,
g_false_only('#skF_1'(a),'#skF_2'('#skF_1'(a))),
inference(splitLeft,[status(thm)],[c_650]) ).
tff(c_662,plain,
~ g_false_only(a,'#skF_1'(a)),
inference(resolution,[status(thm)],[c_652,c_4]) ).
tff(c_669,plain,
g_both(a,'#skF_1'(a)),
inference(resolution,[status(thm)],[c_386,c_662]) ).
tff(c_676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_625,c_669]) ).
tff(c_679,plain,
! [B_108] : g_true_only('#skF_1'(a),B_108),
inference(splitRight,[status(thm)],[c_650]) ).
tff(c_692,plain,
$false,
inference(resolution,[status(thm)],[c_679,c_2]) ).
tff(c_693,plain,
! [A_13,B_16,B_18] :
( g_false_only(A_13,'#skF_5'(A_13))
| ~ g_both(A_13,B_16)
| g_true_only('#skF_6',B_18) ),
inference(splitRight,[status(thm)],[c_573]) ).
tff(c_713,plain,
! [B_110] : g_true_only('#skF_6',B_110),
inference(splitLeft,[status(thm)],[c_693]) ).
tff(c_726,plain,
$false,
inference(resolution,[status(thm)],[c_713,c_2]) ).
tff(c_767,plain,
! [A_115,B_116] :
( g_false_only(A_115,'#skF_5'(A_115))
| ~ g_both(A_115,B_116) ),
inference(splitRight,[status(thm)],[c_693]) ).
tff(c_771,plain,
! [X_2_117] :
( g_false_only(X_2_117,'#skF_5'(X_2_117))
| ~ g_false_only(a,X_2_117) ),
inference(resolution,[status(thm)],[c_397,c_767]) ).
tff(c_787,plain,
! [X_2_118] : ~ g_false_only(a,X_2_118),
inference(resolution,[status(thm)],[c_771,c_4]) ).
tff(c_795,plain,
g_both(a,'#skF_1'(a)),
inference(resolution,[status(thm)],[c_386,c_787]) ).
tff(c_802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_760,c_795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 16:11:29 EDT 2023
% 0.16/0.37 % CPUTime :
% 3.59/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/2.07
% 3.59/2.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.59/2.12
% 3.59/2.12 Inference rules
% 3.59/2.12 ----------------------
% 3.59/2.12 #Ref : 0
% 3.59/2.12 #Sup : 152
% 3.59/2.12 #Fact : 2
% 3.59/2.12 #Define : 0
% 3.59/2.12 #Split : 19
% 3.59/2.12 #Chain : 0
% 3.59/2.12 #Close : 0
% 3.59/2.12
% 3.59/2.12 Ordering : KBO
% 3.59/2.12
% 3.59/2.12 Simplification rules
% 3.59/2.12 ----------------------
% 3.59/2.12 #Subsume : 52
% 3.59/2.12 #Demod : 9
% 3.59/2.12 #Tautology : 25
% 3.59/2.12 #SimpNegUnit : 18
% 3.59/2.12 #BackRed : 1
% 3.59/2.12
% 3.59/2.12 #Partial instantiations: 0
% 3.59/2.12 #Strategies tried : 1
% 3.59/2.12
% 3.59/2.12 Timing (in seconds)
% 3.59/2.12 ----------------------
% 3.59/2.12 Preprocessing : 0.46
% 3.59/2.12 Parsing : 0.25
% 3.59/2.12 CNF conversion : 0.04
% 3.59/2.12 Main loop : 0.46
% 3.59/2.12 Inferencing : 0.21
% 3.59/2.12 Reduction : 0.09
% 3.59/2.12 Demodulation : 0.05
% 3.59/2.12 BG Simplification : 0.02
% 3.59/2.12 Subsumption : 0.10
% 3.59/2.12 Abstraction : 0.02
% 3.59/2.12 MUC search : 0.00
% 3.59/2.12 Cooper : 0.00
% 3.59/2.12 Total : 1.00
% 3.59/2.12 Index Insertion : 0.00
% 3.59/2.12 Index Deletion : 0.00
% 3.59/2.12 Index Matching : 0.00
% 3.59/2.12 BG Taut test : 0.00
%------------------------------------------------------------------------------