TSTP Solution File: LCL674+1.020 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL674+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 10:48:45 EDT 2023
% Result : Theorem 23.77s 11.75s
% Output : CNFRefutation 24.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 88
% Syntax : Number of formulae : 158 ( 13 unt; 85 typ; 0 def)
% Number of atoms : 677 ( 0 equ)
% Maximal formula atoms : 436 ( 9 avg)
% Number of connectives : 1138 ( 534 ~; 398 |; 205 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 84 >; 1 *; 0 +; 0 <<)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 1 con; 0-1 aty)
% Number of variables : 146 (; 145 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p9 > p8 > p7 > p6 > p5 > p4 > p3 > p21 > p20 > p2 > p19 > p18 > p17 > p16 > p15 > p14 > p13 > p121 > p120 > p12 > p119 > p118 > p117 > p116 > p115 > p114 > p113 > p112 > p111 > p110 > p11 > p109 > p108 > p107 > p106 > p105 > p104 > p103 > p102 > p101 > p100 > p10 > p1 > #nlpp > #skF_9 > #skF_36 > #skF_25 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_8 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_28 > #skF_10 > #skF_41 > #skF_38 > #skF_1 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_13 > #skF_17 > #skF_3 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_30 > #skF_6 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p107,type,
p107: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff(p12,type,
p12: $i > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(p116,type,
p116: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff(p3,type,
p3: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(p15,type,
p15: $i > $o ).
tff(p118,type,
p118: $i > $o ).
tff(p110,type,
p110: $i > $o ).
tff(p11,type,
p11: $i > $o ).
tff(p111,type,
p111: $i > $o ).
tff(p106,type,
p106: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(p101,type,
p101: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(p112,type,
p112: $i > $o ).
tff(p121,type,
p121: $i > $o ).
tff(p14,type,
p14: $i > $o ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff(p119,type,
p119: $i > $o ).
tff(p109,type,
p109: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(p20,type,
p20: $i > $o ).
tff(p115,type,
p115: $i > $o ).
tff(p117,type,
p117: $i > $o ).
tff(p108,type,
p108: $i > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(p102,type,
p102: $i > $o ).
tff(p100,type,
p100: $i > $o ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(p19,type,
p19: $i > $o ).
tff(p8,type,
p8: $i > $o ).
tff(p113,type,
p113: $i > $o ).
tff(p18,type,
p18: $i > $o ).
tff(p103,type,
p103: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(p120,type,
p120: $i > $o ).
tff(p17,type,
p17: $i > $o ).
tff(p13,type,
p13: $i > $o ).
tff(p114,type,
p114: $i > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(p105,type,
p105: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(p16,type,
p16: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(p7,type,
p7: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(p10,type,
p10: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(p104,type,
p104: $i > $o ).
tff(p21,type,
p21: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(p9,type,
p9: $i > $o ).
tff(p1,type,
p1: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(f_1387,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p8(Y) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p21(X)
& ~ p121(X)
& p120(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p21(X)
& ~ p121(X)
& p120(X) ) ) )
| ~ ( ~ p120(Y)
& p119(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p20(X)
& ~ p120(X)
& p119(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p20(X)
& ~ p120(X)
& p119(X) ) ) )
| ~ ( ~ p119(Y)
& p118(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p19(X)
& ~ p119(X)
& p118(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p19(X)
& ~ p119(X)
& p118(X) ) ) )
| ~ ( ~ p118(Y)
& p117(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p18(X)
& ~ p118(X)
& p117(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p18(X)
& ~ p118(X)
& p117(X) ) ) )
| ~ ( ~ p117(Y)
& p116(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p17(X)
& ~ p117(X)
& p116(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p17(X)
& ~ p117(X)
& p116(X) ) ) )
| ~ ( ~ p116(Y)
& p115(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p16(X)
& ~ p116(X)
& p115(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p16(X)
& ~ p116(X)
& p115(X) ) ) )
| ~ ( ~ p115(Y)
& p114(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p15(X)
& ~ p115(X)
& p114(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p15(X)
& ~ p115(X)
& p114(X) ) ) )
| ~ ( ~ p114(Y)
& p113(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p14(X)
& ~ p114(X)
& p113(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p14(X)
& ~ p114(X)
& p113(X) ) ) )
| ~ ( ~ p113(Y)
& p112(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p13(X)
& ~ p113(X)
& p112(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p13(X)
& ~ p113(X)
& p112(X) ) ) )
| ~ ( ~ p112(Y)
& p111(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p12(X)
& ~ p112(X)
& p111(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p12(X)
& ~ p112(X)
& p111(X) ) ) )
| ~ ( ~ p111(Y)
& p110(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p11(X)
& ~ p111(X)
& p110(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p11(X)
& ~ p111(X)
& p110(X) ) ) )
| ~ ( ~ p110(Y)
& p109(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p10(X)
& ~ p110(X)
& p109(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p10(X)
& ~ p110(X)
& p109(X) ) ) )
| ~ ( ~ p109(Y)
& p108(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p9(X)
& ~ p109(X)
& p108(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p9(X)
& ~ p109(X)
& p108(X) ) ) )
| ~ ( ~ p108(Y)
& p107(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p8(X)
& ~ p108(X)
& p107(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p8(X)
& ~ p108(X)
& p107(X) ) ) )
| ~ ( ~ p107(Y)
& p106(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p7(X)
& ~ p107(X)
& p106(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p7(X)
& ~ p107(X)
& p106(X) ) ) )
| ~ ( ~ p106(Y)
& p105(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p21(X)
| ~ p120(X) )
| p21(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p21(X)
| ~ p120(X) )
| ~ p21(Y) ) )
| ~ p120(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p20(X)
| ~ p119(X) )
| p20(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p20(X)
| ~ p119(X) )
| ~ p20(Y) ) )
| ~ p119(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p19(X)
| ~ p118(X) )
| p19(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p19(X)
| ~ p118(X) )
| ~ p19(Y) ) )
| ~ p118(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p18(X)
| ~ p117(X) )
| p18(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p18(X)
| ~ p117(X) )
| ~ p18(Y) ) )
| ~ p117(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p17(X)
| ~ p116(X) )
| p17(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p17(X)
| ~ p116(X) )
| ~ p17(Y) ) )
| ~ p116(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p16(X)
| ~ p115(X) )
| p16(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p16(X)
| ~ p115(X) )
| ~ p16(Y) ) )
| ~ p115(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p15(X)
| ~ p114(X) )
| p15(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p15(X)
| ~ p114(X) )
| ~ p15(Y) ) )
| ~ p114(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p14(X)
| ~ p113(X) )
| p14(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p14(X)
| ~ p113(X) )
| ~ p14(Y) ) )
| ~ p113(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p13(X)
| ~ p112(X) )
| p13(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p13(X)
| ~ p112(X) )
| ~ p13(Y) ) )
| ~ p112(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p12(X)
| ~ p111(X) )
| p12(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p12(X)
| ~ p111(X) )
| ~ p12(Y) ) )
| ~ p111(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p11(X)
| ~ p110(X) )
| p11(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p11(X)
| ~ p110(X) )
| ~ p11(Y) ) )
| ~ p110(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p10(X)
| ~ p109(X) )
| p10(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p10(X)
| ~ p109(X) )
| ~ p10(Y) ) )
| ~ p109(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p9(X)
| ~ p108(X) )
| p9(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p9(X)
| ~ p108(X) )
| ~ p9(Y) ) )
| ~ p108(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p8(X)
| ~ p107(X) )
| p8(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p8(X)
| ~ p107(X) )
| ~ p8(Y) ) )
| ~ p107(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p7(X)
| ~ p106(X) )
| p7(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p7(X)
| ~ p106(X) )
| ~ p7(Y) ) )
| ~ p106(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p120(Y)
| ~ p121(Y) )
& ( p119(Y)
| ~ p120(Y) )
& ( p118(Y)
| ~ p119(Y) )
& ( p117(Y)
| ~ p118(Y) )
& ( p116(Y)
| ~ p117(Y) )
& ( p115(Y)
| ~ p116(Y) )
& ( p114(Y)
| ~ p115(Y) )
& ( p113(Y)
| ~ p114(Y) )
& ( p112(Y)
| ~ p113(Y) )
& ( p111(Y)
| ~ p112(Y) )
& ( p110(Y)
| ~ p111(Y) )
& ( p109(Y)
| ~ p110(Y) )
& ( p108(Y)
| ~ p109(Y) )
& ( p107(Y)
| ~ p108(Y) )
& ( p106(Y)
| ~ p107(Y) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) )
& ~ p101(X)
& p100(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
tff(f_29,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
tff(f_35,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
tff(c_8,plain,
~ p101('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_2,plain,
! [X_1] : r1(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
p100('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_6146,plain,
! [Y_473] :
( r1(Y_473,'#skF_40'(Y_473))
| ~ p100(Y_473)
| p101(Y_473)
| ~ r1('#skF_1',Y_473) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_14,plain,
! [Y_172] :
( ~ p102(Y_172)
| p101(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_6220,plain,
( ~ p102('#skF_40'('#skF_1'))
| p101('#skF_40'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_6146,c_14]) ).
tff(c_6308,plain,
( ~ p102('#skF_40'('#skF_1'))
| p101('#skF_40'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_6220]) ).
tff(c_6309,plain,
( ~ p102('#skF_40'('#skF_1'))
| p101('#skF_40'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_6308]) ).
tff(c_8229,plain,
~ p102('#skF_40'('#skF_1')),
inference(splitLeft,[status(thm)],[c_6309]) ).
tff(c_146,plain,
! [Y_172] :
( p101('#skF_40'(Y_172))
| ~ p100(Y_172)
| p101(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_12,plain,
! [Y_172] :
( ~ p101(Y_172)
| p100(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_6192,plain,
( ~ p101('#skF_40'('#skF_1'))
| p100('#skF_40'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_6146,c_12]) ).
tff(c_6280,plain,
( ~ p101('#skF_40'('#skF_1'))
| p100('#skF_40'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_6192]) ).
tff(c_6281,plain,
( ~ p101('#skF_40'('#skF_1'))
| p100('#skF_40'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_6280]) ).
tff(c_8863,plain,
~ p101('#skF_40'('#skF_1')),
inference(splitLeft,[status(thm)],[c_6281]) ).
tff(c_8866,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_146,c_8863]) ).
tff(c_8869,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_8866]) ).
tff(c_8871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_8869]) ).
tff(c_8873,plain,
p101('#skF_40'('#skF_1')),
inference(splitRight,[status(thm)],[c_6281]) ).
tff(c_152,plain,
! [Y_172] :
( r1(Y_172,'#skF_40'(Y_172))
| ~ p100(Y_172)
| p101(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_154,plain,
! [Y_172] :
( p102('#skF_39'(Y_172))
| ~ p101(Y_172)
| p102(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_4886,plain,
! [Y_466] :
( r1(Y_466,'#skF_39'(Y_466))
| ~ p101(Y_466)
| p102(Y_466)
| ~ r1('#skF_1',Y_466) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_4,plain,
! [X_2,Z_4,Y_3] :
( r1(X_2,Z_4)
| ~ r1(Y_3,Z_4)
| ~ r1(X_2,Y_3) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_4977,plain,
! [X_2,Y_466] :
( r1(X_2,'#skF_39'(Y_466))
| ~ r1(X_2,Y_466)
| ~ p101(Y_466)
| p102(Y_466)
| ~ r1('#skF_1',Y_466) ),
inference(resolution,[status(thm)],[c_4886,c_4]) ).
tff(c_178,plain,
! [Y_172] :
( p103('#skF_36'(Y_172))
| ~ p102(Y_172)
| p103(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_3266,plain,
! [Y_457] :
( r1(Y_457,'#skF_36'(Y_457))
| ~ p102(Y_457)
| p103(Y_457)
| ~ r1('#skF_1',Y_457) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_3357,plain,
! [X_2,Y_457] :
( r1(X_2,'#skF_36'(Y_457))
| ~ r1(X_2,Y_457)
| ~ p102(Y_457)
| p103(Y_457)
| ~ r1('#skF_1',Y_457) ),
inference(resolution,[status(thm)],[c_3266,c_4]) ).
tff(c_186,plain,
! [Y_172] :
( p104('#skF_35'(Y_172))
| ~ p103(Y_172)
| p104(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_4706,plain,
! [Y_465] :
( r1(Y_465,'#skF_35'(Y_465))
| ~ p103(Y_465)
| p104(Y_465)
| ~ r1('#skF_1',Y_465) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_4797,plain,
! [X_2,Y_465] :
( r1(X_2,'#skF_35'(Y_465))
| ~ r1(X_2,Y_465)
| ~ p103(Y_465)
| p104(Y_465)
| ~ r1('#skF_1',Y_465) ),
inference(resolution,[status(thm)],[c_4706,c_4]) ).
tff(c_202,plain,
! [Y_172] :
( p105('#skF_33'(Y_172))
| ~ p104(Y_172)
| p105(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_6691,plain,
! [Y_476] :
( r1(Y_476,'#skF_33'(Y_476))
| ~ p104(Y_476)
| p105(Y_476)
| ~ r1('#skF_1',Y_476) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_6782,plain,
! [X_2,Y_476] :
( r1(X_2,'#skF_33'(Y_476))
| ~ r1(X_2,Y_476)
| ~ p104(Y_476)
| p105(Y_476)
| ~ r1('#skF_1',Y_476) ),
inference(resolution,[status(thm)],[c_6691,c_4]) ).
tff(c_218,plain,
! [Y_172] :
( p106('#skF_31'(Y_172))
| ~ p105(Y_172)
| p106(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_2906,plain,
! [Y_455] :
( r1(Y_455,'#skF_31'(Y_455))
| ~ p105(Y_455)
| p106(Y_455)
| ~ r1('#skF_1',Y_455) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_2997,plain,
! [X_2,Y_455] :
( r1(X_2,'#skF_31'(Y_455))
| ~ r1(X_2,Y_455)
| ~ p105(Y_455)
| p106(Y_455)
| ~ r1('#skF_1',Y_455) ),
inference(resolution,[status(thm)],[c_2906,c_4]) ).
tff(c_3086,plain,
! [Y_456] :
( r1(Y_456,'#skF_28'(Y_456))
| ~ p106(Y_456)
| p107(Y_456)
| ~ r1('#skF_1',Y_456) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_21022,plain,
! [X_915,Y_916] :
( r1(X_915,'#skF_28'(Y_916))
| ~ r1(X_915,Y_916)
| ~ p106(Y_916)
| p107(Y_916)
| ~ r1('#skF_1',Y_916) ),
inference(resolution,[status(thm)],[c_3086,c_4]) ).
tff(c_10,plain,
! [Y_171] :
( p8(Y_171)
| ~ r1('#skF_1',Y_171) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_21259,plain,
! [Y_917] :
( p8('#skF_28'(Y_917))
| ~ p106(Y_917)
| p107(Y_917)
| ~ r1('#skF_1',Y_917) ),
inference(resolution,[status(thm)],[c_21022,c_10]) ).
tff(c_246,plain,
! [Y_172] :
( ~ p8('#skF_28'(Y_172))
| ~ p106(Y_172)
| p107(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_21264,plain,
! [Y_918] :
( ~ p106(Y_918)
| p107(Y_918)
| ~ r1('#skF_1',Y_918) ),
inference(resolution,[status(thm)],[c_21259,c_246]) ).
tff(c_26288,plain,
! [Y_1968] :
( ~ p106('#skF_31'(Y_1968))
| p107('#skF_31'(Y_1968))
| ~ p105(Y_1968)
| p106(Y_1968)
| ~ r1('#skF_1',Y_1968) ),
inference(resolution,[status(thm)],[c_2997,c_21264]) ).
tff(c_220,plain,
! [Y_172] :
( ~ p107('#skF_31'(Y_172))
| ~ p105(Y_172)
| p106(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_26293,plain,
! [Y_1969] :
( ~ p106('#skF_31'(Y_1969))
| ~ p105(Y_1969)
| p106(Y_1969)
| ~ r1('#skF_1',Y_1969) ),
inference(resolution,[status(thm)],[c_26288,c_220]) ).
tff(c_26298,plain,
! [Y_1970] :
( ~ p105(Y_1970)
| p106(Y_1970)
| ~ r1('#skF_1',Y_1970) ),
inference(resolution,[status(thm)],[c_218,c_26293]) ).
tff(c_26853,plain,
! [Y_1990] :
( ~ p105('#skF_33'(Y_1990))
| p106('#skF_33'(Y_1990))
| ~ p104(Y_1990)
| p105(Y_1990)
| ~ r1('#skF_1',Y_1990) ),
inference(resolution,[status(thm)],[c_6782,c_26298]) ).
tff(c_204,plain,
! [Y_172] :
( ~ p106('#skF_33'(Y_172))
| ~ p104(Y_172)
| p105(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_26858,plain,
! [Y_1991] :
( ~ p105('#skF_33'(Y_1991))
| ~ p104(Y_1991)
| p105(Y_1991)
| ~ r1('#skF_1',Y_1991) ),
inference(resolution,[status(thm)],[c_26853,c_204]) ).
tff(c_26863,plain,
! [Y_1992] :
( ~ p104(Y_1992)
| p105(Y_1992)
| ~ r1('#skF_1',Y_1992) ),
inference(resolution,[status(thm)],[c_202,c_26858]) ).
tff(c_27345,plain,
! [Y_1999] :
( ~ p104('#skF_35'(Y_1999))
| p105('#skF_35'(Y_1999))
| ~ p103(Y_1999)
| p104(Y_1999)
| ~ r1('#skF_1',Y_1999) ),
inference(resolution,[status(thm)],[c_4797,c_26863]) ).
tff(c_188,plain,
! [Y_172] :
( ~ p105('#skF_35'(Y_172))
| ~ p103(Y_172)
| p104(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_27350,plain,
! [Y_2000] :
( ~ p104('#skF_35'(Y_2000))
| ~ p103(Y_2000)
| p104(Y_2000)
| ~ r1('#skF_1',Y_2000) ),
inference(resolution,[status(thm)],[c_27345,c_188]) ).
tff(c_27355,plain,
! [Y_2001] :
( ~ p103(Y_2001)
| p104(Y_2001)
| ~ r1('#skF_1',Y_2001) ),
inference(resolution,[status(thm)],[c_186,c_27350]) ).
tff(c_27818,plain,
! [Y_2008] :
( ~ p103('#skF_36'(Y_2008))
| p104('#skF_36'(Y_2008))
| ~ p102(Y_2008)
| p103(Y_2008)
| ~ r1('#skF_1',Y_2008) ),
inference(resolution,[status(thm)],[c_3357,c_27355]) ).
tff(c_180,plain,
! [Y_172] :
( ~ p104('#skF_36'(Y_172))
| ~ p102(Y_172)
| p103(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_27823,plain,
! [Y_2009] :
( ~ p103('#skF_36'(Y_2009))
| ~ p102(Y_2009)
| p103(Y_2009)
| ~ r1('#skF_1',Y_2009) ),
inference(resolution,[status(thm)],[c_27818,c_180]) ).
tff(c_27828,plain,
! [Y_2010] :
( ~ p102(Y_2010)
| p103(Y_2010)
| ~ r1('#skF_1',Y_2010) ),
inference(resolution,[status(thm)],[c_178,c_27823]) ).
tff(c_28249,plain,
! [Y_2013] :
( ~ p102('#skF_39'(Y_2013))
| p103('#skF_39'(Y_2013))
| ~ p101(Y_2013)
| p102(Y_2013)
| ~ r1('#skF_1',Y_2013) ),
inference(resolution,[status(thm)],[c_4977,c_27828]) ).
tff(c_156,plain,
! [Y_172] :
( ~ p103('#skF_39'(Y_172))
| ~ p101(Y_172)
| p102(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_28254,plain,
! [Y_2014] :
( ~ p102('#skF_39'(Y_2014))
| ~ p101(Y_2014)
| p102(Y_2014)
| ~ r1('#skF_1',Y_2014) ),
inference(resolution,[status(thm)],[c_28249,c_156]) ).
tff(c_28259,plain,
! [Y_2015] :
( ~ p101(Y_2015)
| p102(Y_2015)
| ~ r1('#skF_1',Y_2015) ),
inference(resolution,[status(thm)],[c_154,c_28254]) ).
tff(c_28403,plain,
( ~ p101('#skF_40'('#skF_1'))
| p102('#skF_40'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_152,c_28259]) ).
tff(c_28546,plain,
( p102('#skF_40'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_8873,c_28403]) ).
tff(c_28548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_8229,c_28546]) ).
tff(c_28550,plain,
p102('#skF_40'('#skF_1')),
inference(splitRight,[status(thm)],[c_6309]) ).
tff(c_148,plain,
! [Y_172] :
( ~ p102('#skF_40'(Y_172))
| ~ p100(Y_172)
| p101(Y_172)
| ~ r1('#skF_1',Y_172) ),
inference(cnfTransformation,[status(thm)],[f_1387]) ).
tff(c_28553,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_28550,c_148]) ).
tff(c_28556,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_28553]) ).
tff(c_28558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_28556]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL674+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:29:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 23.77/11.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.77/11.77
% 23.77/11.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.00/11.81
% 24.00/11.81 Inference rules
% 24.00/11.81 ----------------------
% 24.00/11.81 #Ref : 0
% 24.00/11.81 #Sup : 6096
% 24.00/11.81 #Fact : 0
% 24.00/11.81 #Define : 0
% 24.00/11.81 #Split : 32
% 24.00/11.81 #Chain : 0
% 24.00/11.81 #Close : 0
% 24.00/11.81
% 24.00/11.81 Ordering : KBO
% 24.00/11.81
% 24.00/11.81 Simplification rules
% 24.00/11.81 ----------------------
% 24.00/11.81 #Subsume : 2261
% 24.00/11.81 #Demod : 1155
% 24.00/11.81 #Tautology : 140
% 24.00/11.81 #SimpNegUnit : 1113
% 24.00/11.81 #BackRed : 0
% 24.00/11.81
% 24.00/11.81 #Partial instantiations: 0
% 24.00/11.81 #Strategies tried : 1
% 24.00/11.81
% 24.00/11.81 Timing (in seconds)
% 24.00/11.81 ----------------------
% 24.00/11.81 Preprocessing : 0.79
% 24.00/11.81 Parsing : 0.42
% 24.00/11.81 CNF conversion : 0.08
% 24.00/11.81 Main loop : 9.89
% 24.00/11.81 Inferencing : 3.98
% 24.00/11.81 Reduction : 2.55
% 24.00/11.81 Demodulation : 1.38
% 24.00/11.81 BG Simplification : 0.11
% 24.00/11.81 Subsumption : 2.36
% 24.00/11.81 Abstraction : 0.13
% 24.00/11.81 MUC search : 0.00
% 24.00/11.81 Cooper : 0.00
% 24.00/11.81 Total : 10.75
% 24.00/11.81 Index Insertion : 0.00
% 24.00/11.81 Index Deletion : 0.00
% 24.00/11.82 Index Matching : 0.00
% 24.00/11.82 BG Taut test : 0.00
%------------------------------------------------------------------------------