%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYO655-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 : Thu May 9 17:51:05 EDT 2024
% Result : Unsatisfiable 25.19s 25.40s
% Output : Refutation 25.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 9 unt; 12 nHn; 32 RR)
% Number of literals : 178 ( 0 equ; 136 neg)
% Maximal clause size : 24 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 35 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_269,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_269) ).
cnf(clause_497,axiom,
'LE'(f(X2),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_497) ).
cnf(clause_513,axiom,
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_513) ).
cnf(c0,plain,
( 'E'('0',f(X4))
| 'LE'(f(X4),'0') ),
inference(resolution,[status(thm)],[clause_513,clause_497]) ).
cnf(c1,plain,
'E'('0',f(z)),
inference(resolution,[status(thm)],[c0,clause_269]) ).
cnf(clause_5,axiom,
( ~ 'LE'(f(suc(X10)),s('0'))
| 'E'('0',f(suc(X10)))
| 'LE'(f(X10),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(c4,plain,
( 'E'('0',f(suc(X11)))
| 'LE'(f(X11),'0') ),
inference(resolution,[status(thm)],[clause_5,clause_497]) ).
cnf(c5,plain,
'E'('0',f(suc(z))),
inference(resolution,[status(thm)],[c4,clause_269]) ).
cnf(clause_72,axiom,
( ~ 'LE'(f(suc(suc(X12))),s('0'))
| 'E'('0',f(suc(suc(X12))))
| 'LE'(f(X12),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
cnf(c6,plain,
( 'E'('0',f(suc(suc(X13))))
| 'LE'(f(X13),'0') ),
inference(resolution,[status(thm)],[clause_72,clause_497]) ).
cnf(c7,plain,
'E'('0',f(suc(suc(z)))),
inference(resolution,[status(thm)],[c6,clause_269]) ).
cnf(clause_84,axiom,
( ~ 'E'('0',f(X19))
| ~ 'E'('0',f(suc(X19)))
| 'E'(f(X19),f(suc(X19)))
| iLEQ(suc(X19),suc(X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
cnf(c11,plain,
( ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[clause_84,c5]) ).
cnf(c14,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c11,c1]) ).
cnf(clause_379,axiom,
( ~ 'E'('0',f(suc(suc(X54))))
| ~ 'E'('0',f(suc(X54)))
| ~ 'E'(f(X54),f(suc(X54)))
| ~ 'E'('0',f(X54))
| iLEQ(suc(X54),suc(X54)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_379) ).
cnf(c71,plain,
( ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[clause_379,c14]) ).
cnf(c74,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c71,c7]) ).
cnf(c78,plain,
( ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c74,c5]) ).
cnf(c80,plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[status(thm)],[c78,c1]) ).
cnf(clause_209,axiom,
( ~ 'E'('0',f(suc(X98)))
| ~ iLEQ(suc(X100),suc(X98))
| ~ 'E'('0',f(suc(X99)))
| ~ 'E'('0',f(suc(X97)))
| ~ iLEQ(suc(X97),suc(X100))
| ~ 'E'('0',f(X98))
| ~ 'E'('0',f(X99))
| ~ iLEQ(suc(X98),suc(X96))
| ~ 'E'('0',f(X100))
| ~ 'E'('0',f(X97))
| ~ 'E'('0',f(suc(X100)))
| ~ 'E'('0',f(X96))
| ~ 'E'('0',f(suc(X96)))
| ~ iLEQ(suc(X99),suc(X97))
| 'E'(f(X100),f(suc(X100)))
| 'E'(f(X99),f(suc(X99)))
| 'E'(f(X98),f(suc(X98)))
| 'E'(f(X96),f(suc(X96)))
| 'E'(f(X97),f(suc(X97))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_209) ).
cnf(c134,plain,
( ~ 'E'('0',f(suc(X194)))
| ~ iLEQ(suc(X195),suc(X194))
| ~ 'E'('0',f(suc(X195)))
| ~ iLEQ(suc(X194),suc(X195))
| ~ 'E'('0',f(X194))
| ~ 'E'('0',f(X195))
| ~ iLEQ(suc(X194),suc(X196))
| ~ 'E'('0',f(X196))
| ~ 'E'('0',f(suc(X196)))
| 'E'(f(X195),f(suc(X195)))
| 'E'(f(X194),f(suc(X194)))
| 'E'(f(X196),f(suc(X196))) ),
inference(factor,[status(thm)],[clause_209]) ).
cnf(c297,plain,
( ~ 'E'('0',f(suc(X198)))
| ~ iLEQ(suc(X197),suc(X198))
| ~ 'E'('0',f(suc(X197)))
| ~ iLEQ(suc(X198),suc(X197))
| ~ 'E'('0',f(X198))
| ~ 'E'('0',f(X197))
| 'E'(f(X197),f(suc(X197)))
| 'E'(f(X198),f(suc(X198))) ),
inference(factor,[status(thm)],[c134]) ).
cnf(c305,plain,
( ~ 'E'('0',f(suc(X199)))
| ~ iLEQ(suc(X199),suc(X199))
| ~ 'E'('0',f(X199))
| 'E'(f(X199),f(suc(X199))) ),
inference(factor,[status(thm)],[c297]) ).
cnf(c316,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z))) ),
inference(resolution,[status(thm)],[c305,c80]) ).
cnf(c327,plain,
( ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z))) ),
inference(resolution,[status(thm)],[c316,c5]) ).
cnf(c329,plain,
'E'(f(z),f(suc(z))),
inference(resolution,[status(thm)],[c327,c1]) ).
cnf(clause_125,axiom,
( ~ 'E'('0',f(suc(suc(X94))))
| ~ 'E'('0',f(suc(X92)))
| ~ iLEQ(suc(X94),suc(X92))
| ~ 'E'('0',f(suc(X93)))
| ~ 'E'('0',f(suc(suc(X93))))
| ~ 'E'('0',f(suc(X91)))
| ~ iLEQ(suc(X91),suc(X94))
| ~ 'E'('0',f(X92))
| ~ 'E'('0',f(suc(suc(X92))))
| ~ 'E'('0',f(suc(suc(X90))))
| ~ 'E'('0',f(X93))
| ~ 'E'(f(X94),f(suc(X94)))
| ~ 'E'('0',f(suc(suc(X91))))
| ~ iLEQ(suc(X92),suc(X90))
| ~ 'E'('0',f(X94))
| ~ 'E'('0',f(X91))
| ~ 'E'('0',f(suc(X94)))
| ~ 'E'(f(X93),f(suc(X93)))
| ~ 'E'(f(X92),f(suc(X92)))
| ~ 'E'(f(X90),f(suc(X90)))
| ~ 'E'('0',f(X90))
| ~ 'E'('0',f(suc(X90)))
| ~ 'E'(f(X91),f(suc(X91)))
| ~ iLEQ(suc(X93),suc(X91)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_125) ).
cnf(c120,plain,
( ~ 'E'('0',f(suc(suc(X864))))
| ~ 'E'('0',f(suc(X867)))
| ~ iLEQ(suc(X864),suc(X867))
| ~ 'E'('0',f(suc(X866)))
| ~ 'E'('0',f(suc(suc(X866))))
| ~ iLEQ(suc(X867),suc(X864))
| ~ 'E'('0',f(X867))
| ~ 'E'('0',f(suc(suc(X867))))
| ~ 'E'('0',f(suc(suc(X865))))
| ~ 'E'('0',f(X866))
| ~ 'E'(f(X864),f(suc(X864)))
| ~ iLEQ(suc(X867),suc(X865))
| ~ 'E'('0',f(X864))
| ~ 'E'('0',f(suc(X864)))
| ~ 'E'(f(X866),f(suc(X866)))
| ~ 'E'(f(X867),f(suc(X867)))
| ~ 'E'(f(X865),f(suc(X865)))
| ~ 'E'('0',f(X865))
| ~ 'E'('0',f(suc(X865)))
| ~ iLEQ(suc(X866),suc(X867)) ),
inference(factor,[status(thm)],[clause_125]) ).
cnf(c959,plain,
( ~ 'E'('0',f(suc(suc(X2311))))
| ~ 'E'('0',f(suc(X2309)))
| ~ iLEQ(suc(X2311),suc(X2309))
| ~ 'E'('0',f(suc(X2310)))
| ~ 'E'('0',f(suc(suc(X2310))))
| ~ iLEQ(suc(X2309),suc(X2311))
| ~ 'E'('0',f(X2309))
| ~ 'E'('0',f(suc(suc(X2309))))
| ~ 'E'('0',f(X2310))
| ~ 'E'(f(X2311),f(suc(X2311)))
| ~ 'E'('0',f(X2311))
| ~ 'E'('0',f(suc(X2311)))
| ~ 'E'(f(X2310),f(suc(X2310)))
| ~ 'E'(f(X2309),f(suc(X2309)))
| ~ iLEQ(suc(X2310),suc(X2309)) ),
inference(factor,[status(thm)],[c120]) ).
cnf(c1828,plain,
( ~ 'E'('0',f(suc(suc(X2313))))
| ~ 'E'('0',f(suc(X2313)))
| ~ iLEQ(suc(X2313),suc(X2313))
| ~ 'E'('0',f(suc(X2312)))
| ~ 'E'('0',f(suc(suc(X2312))))
| ~ 'E'('0',f(X2313))
| ~ 'E'('0',f(X2312))
| ~ 'E'(f(X2313),f(suc(X2313)))
| ~ 'E'(f(X2312),f(suc(X2312)))
| ~ iLEQ(suc(X2312),suc(X2313)) ),
inference(factor,[status(thm)],[c959]) ).
cnf(c1836,plain,
( ~ 'E'('0',f(suc(suc(X2314))))
| ~ 'E'('0',f(suc(X2314)))
| ~ iLEQ(suc(X2314),suc(X2314))
| ~ 'E'('0',f(X2314))
| ~ 'E'(f(X2314),f(suc(X2314))) ),
inference(factor,[status(thm)],[c1828]) ).
cnf(c1843,plain,
( ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c1836,c329]) ).
cnf(c1850,plain,
( ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c1843,c7]) ).
cnf(c1853,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c1850,c80]) ).
cnf(c1863,plain,
~ 'E'('0',f(z)),
inference(resolution,[status(thm)],[c1853,c5]) ).
cnf(c1865,plain,
$false,
inference(resolution,[status(thm)],[c1863,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYO655-1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n007.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 : Wed May 8 18:05:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 25.19/25.40 % Version: 1.5
% 25.19/25.40 % SZS status Unsatisfiable
% 25.19/25.40 % SZS output start CNFRefutation
% See solution above
% 25.19/25.40
% 25.19/25.40 % Initial clauses : 39
% 25.19/25.40 % Processed clauses : 301
% 25.19/25.40 % Factors computed : 415
% 25.19/25.40 % Resolvents computed: 1452
% 25.19/25.40 % Tautologies deleted: 0
% 25.19/25.40 % Forward subsumed : 979
% 25.19/25.40 % Backward subsumed : 182
% 25.19/25.40 % -------- CPU Time ---------
% 25.19/25.40 % User time : 25.017 s
% 25.19/25.40 % System time : 0.027 s
% 25.19/25.40 % Total time : 25.044 s
%------------------------------------------------------------------------------