TSTP Solution File: LCL674+1.015 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL674+1.015 : 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 : n014.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 16.46s 6.25s
% Output : CNFRefutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 68
% Syntax : Number of formulae : 134 ( 14 unt; 65 typ; 0 def)
% Number of atoms : 552 ( 0 equ)
% Maximal formula atoms : 331 ( 8 avg)
% Number of connectives : 909 ( 426 ~; 327 |; 155 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 64 >; 1 *; 0 +; 0 <<)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 1 con; 0-1 aty)
% Number of variables : 118 (; 117 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p9 > p8 > p7 > p6 > p5 > p4 > p3 > p2 > p16 > p15 > p14 > p13 > p12 > p116 > p115 > p114 > p113 > p112 > p111 > p110 > p11 > p109 > p108 > p107 > p106 > p105 > p104 > p103 > p102 > p101 > p100 > p10 > p1 > #nlpp > #skF_9 > #skF_25 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_19 > #skF_31 > #skF_22 > #skF_8 > #skF_29 > #skF_15 > #skF_28 > #skF_10 > #skF_1 > #skF_23 > #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(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(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(p14,type,
p14: $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(p115,type,
p115: $i > $o ).
tff(p108,type,
p108: $i > $o ).
tff(p102,type,
p102: $i > $o ).
tff(p100,type,
p100: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(p8,type,
p8: $i > $o ).
tff(p113,type,
p113: $i > $o ).
tff(p103,type,
p103: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(p13,type,
p13: $i > $o ).
tff(p114,type,
p114: $i > $o ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_23',type,
'#skF_23': $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('#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_1062,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
| ~ ( ! [Y] :
( ~ r1(X,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)
| ~ 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) )
& ( 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_1062]) ).
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_1062]) ).
tff(c_2685,plain,
! [Y_353] :
( r1(Y_353,'#skF_30'(Y_353))
| ~ p100(Y_353)
| p101(Y_353)
| ~ r1('#skF_1',Y_353) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_16,plain,
! [Y_132] :
( ~ p103(Y_132)
| p102(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_2735,plain,
( ~ p103('#skF_30'('#skF_1'))
| p102('#skF_30'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2685,c_16]) ).
tff(c_2803,plain,
( ~ p103('#skF_30'('#skF_1'))
| p102('#skF_30'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2735]) ).
tff(c_2804,plain,
( ~ p103('#skF_30'('#skF_1'))
| p102('#skF_30'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_2803]) ).
tff(c_3688,plain,
~ p103('#skF_30'('#skF_1')),
inference(splitLeft,[status(thm)],[c_2804]) ).
tff(c_122,plain,
! [Y_132] :
( r1(Y_132,'#skF_30'(Y_132))
| ~ p100(Y_132)
| p101(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_140,plain,
! [Y_132] :
( p103('#skF_27'(Y_132))
| ~ p102(Y_132)
| p103(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_3119,plain,
! [Y_356] :
( r1(Y_356,'#skF_27'(Y_356))
| ~ p102(Y_356)
| p103(Y_356)
| ~ r1('#skF_1',Y_356) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
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_3190,plain,
! [X_2,Y_356] :
( r1(X_2,'#skF_27'(Y_356))
| ~ r1(X_2,Y_356)
| ~ p102(Y_356)
| p103(Y_356)
| ~ r1('#skF_1',Y_356) ),
inference(resolution,[status(thm)],[c_3119,c_4]) ).
tff(c_156,plain,
! [Y_132] :
( p104('#skF_25'(Y_132))
| ~ p103(Y_132)
| p104(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_1688,plain,
! [Y_346] :
( r1(Y_346,'#skF_25'(Y_346))
| ~ p103(Y_346)
| p104(Y_346)
| ~ r1('#skF_1',Y_346) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_1759,plain,
! [X_2,Y_346] :
( r1(X_2,'#skF_25'(Y_346))
| ~ r1(X_2,Y_346)
| ~ p103(Y_346)
| p104(Y_346)
| ~ r1('#skF_1',Y_346) ),
inference(resolution,[status(thm)],[c_1688,c_4]) ).
tff(c_172,plain,
! [Y_132] :
( p105('#skF_23'(Y_132))
| ~ p104(Y_132)
| p105(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_3547,plain,
! [Y_359] :
( r1(Y_359,'#skF_23'(Y_359))
| ~ p104(Y_359)
| p105(Y_359)
| ~ r1('#skF_1',Y_359) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_10291,plain,
! [X_548,Y_549] :
( r1(X_548,'#skF_23'(Y_549))
| ~ r1(X_548,Y_549)
| ~ p104(Y_549)
| p105(Y_549)
| ~ r1('#skF_1',Y_549) ),
inference(resolution,[status(thm)],[c_3547,c_4]) ).
tff(c_3833,plain,
! [Y_361] :
( r1(Y_361,'#skF_20'(Y_361))
| ~ p105(Y_361)
| p106(Y_361)
| ~ r1('#skF_1',Y_361) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_9420,plain,
! [X_513,Y_514] :
( r1(X_513,'#skF_20'(Y_514))
| ~ r1(X_513,Y_514)
| ~ p105(Y_514)
| p106(Y_514)
| ~ r1('#skF_1',Y_514) ),
inference(resolution,[status(thm)],[c_3833,c_4]) ).
tff(c_10,plain,
! [Y_131] :
( p7(Y_131)
| ~ r1('#skF_1',Y_131) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_9602,plain,
! [Y_515] :
( p7('#skF_20'(Y_515))
| ~ p105(Y_515)
| p106(Y_515)
| ~ r1('#skF_1',Y_515) ),
inference(resolution,[status(thm)],[c_9420,c_10]) ).
tff(c_200,plain,
! [Y_132] :
( ~ p7('#skF_20'(Y_132))
| ~ p105(Y_132)
| p106(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_9606,plain,
! [Y_515] :
( ~ p105(Y_515)
| p106(Y_515)
| ~ r1('#skF_1',Y_515) ),
inference(resolution,[status(thm)],[c_9602,c_200]) ).
tff(c_15358,plain,
! [Y_1224] :
( ~ p105('#skF_23'(Y_1224))
| p106('#skF_23'(Y_1224))
| ~ p104(Y_1224)
| p105(Y_1224)
| ~ r1('#skF_1',Y_1224) ),
inference(resolution,[status(thm)],[c_10291,c_9606]) ).
tff(c_174,plain,
! [Y_132] :
( ~ p106('#skF_23'(Y_132))
| ~ p104(Y_132)
| p105(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_15363,plain,
! [Y_1225] :
( ~ p105('#skF_23'(Y_1225))
| ~ p104(Y_1225)
| p105(Y_1225)
| ~ r1('#skF_1',Y_1225) ),
inference(resolution,[status(thm)],[c_15358,c_174]) ).
tff(c_15373,plain,
! [Y_1227] :
( ~ p104(Y_1227)
| p105(Y_1227)
| ~ r1('#skF_1',Y_1227) ),
inference(resolution,[status(thm)],[c_172,c_15363]) ).
tff(c_15801,plain,
! [Y_1242] :
( ~ p104('#skF_25'(Y_1242))
| p105('#skF_25'(Y_1242))
| ~ p103(Y_1242)
| p104(Y_1242)
| ~ r1('#skF_1',Y_1242) ),
inference(resolution,[status(thm)],[c_1759,c_15373]) ).
tff(c_158,plain,
! [Y_132] :
( ~ p105('#skF_25'(Y_132))
| ~ p103(Y_132)
| p104(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_15806,plain,
! [Y_1243] :
( ~ p104('#skF_25'(Y_1243))
| ~ p103(Y_1243)
| p104(Y_1243)
| ~ r1('#skF_1',Y_1243) ),
inference(resolution,[status(thm)],[c_15801,c_158]) ).
tff(c_15811,plain,
! [Y_1244] :
( ~ p103(Y_1244)
| p104(Y_1244)
| ~ r1('#skF_1',Y_1244) ),
inference(resolution,[status(thm)],[c_156,c_15806]) ).
tff(c_16165,plain,
! [Y_1250] :
( ~ p103('#skF_27'(Y_1250))
| p104('#skF_27'(Y_1250))
| ~ p102(Y_1250)
| p103(Y_1250)
| ~ r1('#skF_1',Y_1250) ),
inference(resolution,[status(thm)],[c_3190,c_15811]) ).
tff(c_142,plain,
! [Y_132] :
( ~ p104('#skF_27'(Y_132))
| ~ p102(Y_132)
| p103(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_16170,plain,
! [Y_1251] :
( ~ p103('#skF_27'(Y_1251))
| ~ p102(Y_1251)
| p103(Y_1251)
| ~ r1('#skF_1',Y_1251) ),
inference(resolution,[status(thm)],[c_16165,c_142]) ).
tff(c_16175,plain,
! [Y_1252] :
( ~ p102(Y_1252)
| p103(Y_1252)
| ~ r1('#skF_1',Y_1252) ),
inference(resolution,[status(thm)],[c_140,c_16170]) ).
tff(c_16303,plain,
( ~ p102('#skF_30'('#skF_1'))
| p103('#skF_30'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_122,c_16175]) ).
tff(c_16416,plain,
( ~ p102('#skF_30'('#skF_1'))
| p103('#skF_30'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_16303]) ).
tff(c_16417,plain,
~ p102('#skF_30'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_3688,c_16416]) ).
tff(c_116,plain,
! [Y_132] :
( p101('#skF_30'(Y_132))
| ~ p100(Y_132)
| p101(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_12,plain,
! [Y_132] :
( ~ p101(Y_132)
| p100(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_2751,plain,
( ~ p101('#skF_30'('#skF_1'))
| p100('#skF_30'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2685,c_12]) ).
tff(c_2819,plain,
( ~ p101('#skF_30'('#skF_1'))
| p100('#skF_30'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2751]) ).
tff(c_2820,plain,
( ~ p101('#skF_30'('#skF_1'))
| p100('#skF_30'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_2819]) ).
tff(c_2825,plain,
~ p101('#skF_30'('#skF_1')),
inference(splitLeft,[status(thm)],[c_2820]) ).
tff(c_2968,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_116,c_2825]) ).
tff(c_2971,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2968]) ).
tff(c_2973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_2971]) ).
tff(c_2975,plain,
p101('#skF_30'('#skF_1')),
inference(splitRight,[status(thm)],[c_2820]) ).
tff(c_132,plain,
! [Y_132] :
( p102('#skF_28'(Y_132))
| ~ p101(Y_132)
| p102(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_2249,plain,
! [Y_350] :
( r1(Y_350,'#skF_28'(Y_350))
| ~ p101(Y_350)
| p102(Y_350)
| ~ r1('#skF_1',Y_350) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_2320,plain,
! [X_2,Y_350] :
( r1(X_2,'#skF_28'(Y_350))
| ~ r1(X_2,Y_350)
| ~ p101(Y_350)
| p102(Y_350)
| ~ r1('#skF_1',Y_350) ),
inference(resolution,[status(thm)],[c_2249,c_4]) ).
tff(c_16480,plain,
! [Y_1254] :
( ~ p102('#skF_28'(Y_1254))
| p103('#skF_28'(Y_1254))
| ~ p101(Y_1254)
| p102(Y_1254)
| ~ r1('#skF_1',Y_1254) ),
inference(resolution,[status(thm)],[c_2320,c_16175]) ).
tff(c_134,plain,
! [Y_132] :
( ~ p103('#skF_28'(Y_132))
| ~ p101(Y_132)
| p102(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_16485,plain,
! [Y_1255] :
( ~ p102('#skF_28'(Y_1255))
| ~ p101(Y_1255)
| p102(Y_1255)
| ~ r1('#skF_1',Y_1255) ),
inference(resolution,[status(thm)],[c_16480,c_134]) ).
tff(c_16490,plain,
! [Y_1256] :
( ~ p101(Y_1256)
| p102(Y_1256)
| ~ r1('#skF_1',Y_1256) ),
inference(resolution,[status(thm)],[c_132,c_16485]) ).
tff(c_16606,plain,
( ~ p101('#skF_30'('#skF_1'))
| p102('#skF_30'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_122,c_16490]) ).
tff(c_16709,plain,
( p102('#skF_30'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2975,c_16606]) ).
tff(c_16711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_16417,c_16709]) ).
tff(c_16712,plain,
p102('#skF_30'('#skF_1')),
inference(splitRight,[status(thm)],[c_2804]) ).
tff(c_118,plain,
! [Y_132] :
( ~ p102('#skF_30'(Y_132))
| ~ p100(Y_132)
| p101(Y_132)
| ~ r1('#skF_1',Y_132) ),
inference(cnfTransformation,[status(thm)],[f_1062]) ).
tff(c_16716,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_16712,c_118]) ).
tff(c_16719,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_16716]) ).
tff(c_16721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_16719]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 13:21:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 16.46/6.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.46/6.26
% 16.46/6.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.72/6.31
% 16.72/6.31 Inference rules
% 16.72/6.31 ----------------------
% 16.72/6.31 #Ref : 0
% 16.72/6.31 #Sup : 3507
% 16.72/6.31 #Fact : 0
% 16.72/6.31 #Define : 0
% 16.72/6.31 #Split : 25
% 16.72/6.31 #Chain : 0
% 16.72/6.31 #Close : 0
% 16.72/6.31
% 16.72/6.31 Ordering : KBO
% 16.72/6.31
% 16.72/6.31 Simplification rules
% 16.72/6.31 ----------------------
% 16.72/6.31 #Subsume : 1379
% 16.72/6.31 #Demod : 719
% 16.72/6.31 #Tautology : 102
% 16.72/6.31 #SimpNegUnit : 678
% 16.72/6.31 #BackRed : 0
% 16.72/6.31
% 16.72/6.31 #Partial instantiations: 0
% 16.72/6.31 #Strategies tried : 1
% 16.72/6.31
% 16.72/6.31 Timing (in seconds)
% 16.72/6.31 ----------------------
% 16.72/6.32 Preprocessing : 0.76
% 16.72/6.32 Parsing : 0.42
% 16.72/6.32 CNF conversion : 0.07
% 16.72/6.32 Main loop : 4.42
% 16.72/6.32 Inferencing : 1.70
% 16.72/6.32 Reduction : 1.18
% 16.72/6.32 Demodulation : 0.67
% 16.72/6.32 BG Simplification : 0.08
% 16.72/6.32 Subsumption : 1.09
% 16.72/6.32 Abstraction : 0.08
% 16.72/6.32 MUC search : 0.00
% 16.72/6.32 Cooper : 0.00
% 16.72/6.32 Total : 5.25
% 16.72/6.32 Index Insertion : 0.00
% 16.72/6.32 Index Deletion : 0.00
% 16.72/6.32 Index Matching : 0.00
% 16.72/6.32 BG Taut test : 0.00
%------------------------------------------------------------------------------