TSTP Solution File: LCL674+1.010 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL674+1.010 : 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/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 : n001.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 10:48:44 EDT 2023
% Result : Theorem 11.45s 3.80s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 100 ( 14 unt; 45 typ; 0 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 226 ( 7 avg)
% Number of connectives : 629 ( 295 ~; 228 |; 105 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 44 >; 1 *; 0 +; 0 <<)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 82 (; 81 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p9 > p8 > p7 > p6 > p5 > p4 > p3 > p2 > p111 > p110 > p11 > p109 > p108 > p107 > p106 > p105 > p104 > p103 > p102 > p101 > p100 > p10 > p1 > #nlpp > #skF_9 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_19 > #skF_8 > #skF_15 > #skF_10 > #skF_1 > #skF_13 > #skF_17 > #skF_3 > #skF_11 > #skF_14 > #skF_12 > #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_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(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(p109,type,
p109: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
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(p103,type,
p103: $i > $o ).
tff('#skF_15',type,
'#skF_15': $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(p2,type,
p2: $i > $o ).
tff(p105,type,
p105: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
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(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_6',type,
'#skF_6': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(f_737,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ( ! [Y] :
( ~ r1(X,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)
| ~ 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) )
& ( 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/sandbox/benchmark/theBenchmark.p',main) ).
tff(f_29,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
tff(f_35,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
tff(c_8,plain,
~ p101('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_737]) ).
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_737]) ).
tff(c_2210,plain,
! [Y_251] :
( r1(Y_251,'#skF_21'(Y_251))
| ~ p100(Y_251)
| p101(Y_251)
| ~ r1('#skF_1',Y_251) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_16,plain,
! [Y_92] :
( ~ p103(Y_92)
| p102(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_2228,plain,
( ~ p103('#skF_21'('#skF_1'))
| p102('#skF_21'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2210,c_16]) ).
tff(c_2276,plain,
( ~ p103('#skF_21'('#skF_1'))
| p102('#skF_21'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2228]) ).
tff(c_2277,plain,
( ~ p103('#skF_21'('#skF_1'))
| p102('#skF_21'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_2276]) ).
tff(c_2622,plain,
~ p103('#skF_21'('#skF_1')),
inference(splitLeft,[status(thm)],[c_2277]) ).
tff(c_84,plain,
! [Y_92] :
( r1(Y_92,'#skF_21'(Y_92))
| ~ p100(Y_92)
| p101(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_118,plain,
! [Y_92] :
( p103('#skF_16'(Y_92))
| ~ p102(Y_92)
| p103(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_1389,plain,
! [Y_243] :
( r1(Y_243,'#skF_16'(Y_243))
| ~ p102(Y_243)
| p103(Y_243)
| ~ r1('#skF_1',Y_243) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
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_5827,plain,
! [X_424,Y_425] :
( r1(X_424,'#skF_16'(Y_425))
| ~ r1(X_424,Y_425)
| ~ p102(Y_425)
| p103(Y_425)
| ~ r1('#skF_1',Y_425) ),
inference(resolution,[status(thm)],[c_1389,c_4]) ).
tff(c_1189,plain,
! [Y_241] :
( r1(Y_241,'#skF_14'(Y_241))
| ~ p103(Y_241)
| p104(Y_241)
| ~ r1('#skF_1',Y_241) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_4336,plain,
! [X_332,Y_333] :
( r1(X_332,'#skF_14'(Y_333))
| ~ r1(X_332,Y_333)
| ~ p103(Y_333)
| p104(Y_333)
| ~ r1('#skF_1',Y_333) ),
inference(resolution,[status(thm)],[c_1189,c_4]) ).
tff(c_10,plain,
! [Y_91] :
( p5(Y_91)
| ~ r1('#skF_1',Y_91) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_4463,plain,
! [Y_334] :
( p5('#skF_14'(Y_334))
| ~ p103(Y_334)
| p104(Y_334)
| ~ r1('#skF_1',Y_334) ),
inference(resolution,[status(thm)],[c_4336,c_10]) ).
tff(c_138,plain,
! [Y_92] :
( ~ p5('#skF_14'(Y_92))
| ~ p103(Y_92)
| p104(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_4467,plain,
! [Y_334] :
( ~ p103(Y_334)
| p104(Y_334)
| ~ r1('#skF_1',Y_334) ),
inference(resolution,[status(thm)],[c_4463,c_138]) ).
tff(c_7262,plain,
! [Y_658] :
( ~ p103('#skF_16'(Y_658))
| p104('#skF_16'(Y_658))
| ~ p102(Y_658)
| p103(Y_658)
| ~ r1('#skF_1',Y_658) ),
inference(resolution,[status(thm)],[c_5827,c_4467]) ).
tff(c_120,plain,
! [Y_92] :
( ~ p104('#skF_16'(Y_92))
| ~ p102(Y_92)
| p103(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_7267,plain,
! [Y_659] :
( ~ p103('#skF_16'(Y_659))
| ~ p102(Y_659)
| p103(Y_659)
| ~ r1('#skF_1',Y_659) ),
inference(resolution,[status(thm)],[c_7262,c_120]) ).
tff(c_7272,plain,
! [Y_660] :
( ~ p102(Y_660)
| p103(Y_660)
| ~ r1('#skF_1',Y_660) ),
inference(resolution,[status(thm)],[c_118,c_7267]) ).
tff(c_7344,plain,
( ~ p102('#skF_21'('#skF_1'))
| p103('#skF_21'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_84,c_7272]) ).
tff(c_7427,plain,
( ~ p102('#skF_21'('#skF_1'))
| p103('#skF_21'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_7344]) ).
tff(c_7428,plain,
~ p102('#skF_21'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_2622,c_7427]) ).
tff(c_78,plain,
! [Y_92] :
( p101('#skF_21'(Y_92))
| ~ p100(Y_92)
| p101(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_12,plain,
! [Y_92] :
( ~ p101(Y_92)
| p100(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_2244,plain,
( ~ p101('#skF_21'('#skF_1'))
| p100('#skF_21'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2210,c_12]) ).
tff(c_2292,plain,
( ~ p101('#skF_21'('#skF_1'))
| p100('#skF_21'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2244]) ).
tff(c_2293,plain,
( ~ p101('#skF_21'('#skF_1'))
| p100('#skF_21'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_8,c_2292]) ).
tff(c_2412,plain,
~ p101('#skF_21'('#skF_1')),
inference(splitLeft,[status(thm)],[c_2293]) ).
tff(c_2415,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_78,c_2412]) ).
tff(c_2418,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2415]) ).
tff(c_2420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_2418]) ).
tff(c_2422,plain,
p101('#skF_21'('#skF_1')),
inference(splitRight,[status(thm)],[c_2293]) ).
tff(c_102,plain,
! [Y_92] :
( p102('#skF_18'(Y_92))
| ~ p101(Y_92)
| p102(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_2312,plain,
! [Y_252] :
( r1(Y_252,'#skF_18'(Y_252))
| ~ p101(Y_252)
| p102(Y_252)
| ~ r1('#skF_1',Y_252) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_2363,plain,
! [X_2,Y_252] :
( r1(X_2,'#skF_18'(Y_252))
| ~ r1(X_2,Y_252)
| ~ p101(Y_252)
| p102(Y_252)
| ~ r1('#skF_1',Y_252) ),
inference(resolution,[status(thm)],[c_2312,c_4]) ).
tff(c_7493,plain,
! [Y_663] :
( ~ p102('#skF_18'(Y_663))
| p103('#skF_18'(Y_663))
| ~ p101(Y_663)
| p102(Y_663)
| ~ r1('#skF_1',Y_663) ),
inference(resolution,[status(thm)],[c_2363,c_7272]) ).
tff(c_104,plain,
! [Y_92] :
( ~ p103('#skF_18'(Y_92))
| ~ p101(Y_92)
| p102(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_7503,plain,
! [Y_665] :
( ~ p102('#skF_18'(Y_665))
| ~ p101(Y_665)
| p102(Y_665)
| ~ r1('#skF_1',Y_665) ),
inference(resolution,[status(thm)],[c_7493,c_104]) ).
tff(c_7508,plain,
! [Y_666] :
( ~ p101(Y_666)
| p102(Y_666)
| ~ r1('#skF_1',Y_666) ),
inference(resolution,[status(thm)],[c_102,c_7503]) ).
tff(c_7568,plain,
( ~ p101('#skF_21'('#skF_1'))
| p102('#skF_21'('#skF_1'))
| ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_84,c_7508]) ).
tff(c_7641,plain,
( p102('#skF_21'('#skF_1'))
| p101('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2422,c_7568]) ).
tff(c_7643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_7428,c_7641]) ).
tff(c_7644,plain,
p102('#skF_21'('#skF_1')),
inference(splitRight,[status(thm)],[c_2277]) ).
tff(c_80,plain,
! [Y_92] :
( ~ p102('#skF_21'(Y_92))
| ~ p100(Y_92)
| p101(Y_92)
| ~ r1('#skF_1',Y_92) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_7648,plain,
( ~ p100('#skF_1')
| p101('#skF_1')
| ~ r1('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_7644,c_80]) ).
tff(c_7651,plain,
p101('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_7648]) ).
tff(c_7653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_7651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n001.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 14:34:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 11.45/3.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.45/3.81
% 11.45/3.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.95/3.85
% 11.95/3.85 Inference rules
% 11.95/3.85 ----------------------
% 11.95/3.85 #Ref : 0
% 11.95/3.85 #Sup : 1589
% 11.95/3.85 #Fact : 0
% 11.95/3.85 #Define : 0
% 11.95/3.85 #Split : 17
% 11.95/3.85 #Chain : 0
% 11.95/3.85 #Close : 0
% 11.95/3.85
% 11.95/3.85 Ordering : KBO
% 11.95/3.85
% 11.95/3.85 Simplification rules
% 11.95/3.85 ----------------------
% 11.95/3.85 #Subsume : 623
% 11.95/3.85 #Demod : 332
% 11.95/3.85 #Tautology : 51
% 11.95/3.85 #SimpNegUnit : 302
% 11.95/3.85 #BackRed : 0
% 11.95/3.85
% 11.95/3.85 #Partial instantiations: 0
% 11.95/3.85 #Strategies tried : 1
% 11.95/3.85
% 11.95/3.85 Timing (in seconds)
% 11.95/3.85 ----------------------
% 11.95/3.85 Preprocessing : 0.66
% 11.95/3.85 Parsing : 0.36
% 11.95/3.85 CNF conversion : 0.06
% 11.95/3.85 Main loop : 2.05
% 11.95/3.85 Inferencing : 0.77
% 11.95/3.85 Reduction : 0.55
% 11.95/3.85 Demodulation : 0.31
% 11.95/3.85 BG Simplification : 0.07
% 11.95/3.85 Subsumption : 0.51
% 11.95/3.85 Abstraction : 0.06
% 11.95/3.85 MUC search : 0.00
% 11.95/3.85 Cooper : 0.00
% 11.95/3.85 Total : 2.77
% 11.95/3.85 Index Insertion : 0.00
% 11.95/3.85 Index Deletion : 0.00
% 11.95/3.85 Index Matching : 0.00
% 11.95/3.85 BG Taut test : 0.00
%------------------------------------------------------------------------------