TSTP Solution File: SYO633-1 by JavaRes---1.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYO633-1 : TPTP v7.5.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n022.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 : 600s
% DateTime : Tue Mar 29 03:33:52 EDT 2022
% Result : Unsatisfiable 0.97s 0.65s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_6_04,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_001,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_002,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_5_03,axiom,
( ~ 'E'(f(X42),s(s('0')))
| ~ 'E'(f(X43),s(s(s(s('0')))))
| ~ 'E'(f(X44),s(s(s('0'))))
| ~ 'E'(f(X45),s('0'))
| ~ 'E'(f(X46),'0')
| ~ 'E'(f(X47),s(s(s(s(s('0')))))) ),
input ).
cnf(c10,plain,
( ~ 'E'(f(X50),s(s('0')))
| ~ 'E'(f(X51),s(s(s(s('0')))))
| ~ 'E'(f(X52),s(s(s('0'))))
| ~ 'E'(f(X53),s('0'))
| ~ 'E'(f(X54),'0') ),
inference(resolution,status(thm),[clause_5_03,clause_8_05]) ).
cnf(c11,plain,
( ~ 'E'(f(X55),s(s('0')))
| ~ 'E'(f(X56),s(s(s('0'))))
| ~ 'E'(f(X57),s('0'))
| ~ 'E'(f(X58),'0') ),
inference(resolution,status(thm),[c10,clause_6_04]) ).
cnf(c12,plain,
( ~ 'E'(f(X59),s(s('0')))
| ~ 'E'(f(X60),s('0'))
| ~ 'E'(f(X61),'0') ),
inference(resolution,status(thm),[c11,c2]) ).
cnf(clause_6_04_003,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_004,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_005,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_006,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_007,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_008,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_009,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_4_12,axiom,
( ~ 'E'(f(X62),s(s(s(s('0')))))
| ~ 'E'(f(X63),s(s(s(s(s('0'))))))
| ~ 'E'(f(X64),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))) ),
input ).
cnf(c13,plain,
( ~ 'E'(f(X72),s(s(s(s('0')))))
| ~ 'E'(f(X73),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))) ),
inference(resolution,status(thm),[clause_4_12,clause_8_05]) ).
cnf(c15,plain,
( ~ 'E'(f(X75),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))) ),
inference(resolution,status(thm),[c13,clause_6_04]) ).
cnf(c16,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),
inference(resolution,status(thm),[c15,c2]) ).
cnf(c17,plain,
( ~ 'E'(f(X78),s('0'))
| ~ 'E'(f(X79),'0') ),
inference(resolution,status(thm),[c16,c12]) ).
cnf(clause_6_04_010,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_011,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_012,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_013,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_014,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_015,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_016,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_4_12_017,axiom,
( ~ 'E'(f(X62),s(s(s(s('0')))))
| ~ 'E'(f(X63),s(s(s(s(s('0'))))))
| ~ 'E'(f(X64),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))) ),
input ).
cnf(c13_018,plain,
( ~ 'E'(f(X72),s(s(s(s('0')))))
| ~ 'E'(f(X73),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))) ),
inference(resolution,status(thm),[clause_4_12,clause_8_05]) ).
cnf(c15_019,plain,
( ~ 'E'(f(X75),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))) ),
inference(resolution,status(thm),[c13,clause_6_04]) ).
cnf(c16_020,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),
inference(resolution,status(thm),[c15,c2]) ).
cnf(clause_6_04_021,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_022,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_023,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_024,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_025,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_026,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_027,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_12_09,axiom,
( ~ 'E'(f(X81),s(s(s(s('0')))))
| ~ 'E'(f(X82),s(s(s(s(s('0'))))))
| ~ 'E'(f(X83),s(s(s('0'))))
| ~ 'E'(f(X84),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X85)),s('0')) ),
input ).
cnf(c19,plain,
( ~ 'E'(f(X86),s(s(s(s('0')))))
| ~ 'E'(f(X87),s(s(s('0'))))
| ~ 'E'(f(X88),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X89)),s('0')) ),
inference(resolution,status(thm),[clause_12_09,clause_8_05]) ).
cnf(c20,plain,
( ~ 'E'(f(X90),s(s(s('0'))))
| ~ 'E'(f(X91),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X92)),s('0')) ),
inference(resolution,status(thm),[c19,clause_6_04]) ).
cnf(c21,plain,
( ~ 'E'(f(X93),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X94)),s('0')) ),
inference(resolution,status(thm),[c20,c2]) ).
cnf(c22,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X95)),s('0')),
inference(resolution,status(thm),[c21,c16]) ).
cnf(c23,plain,
~ 'E'(f(X96),'0'),
inference(resolution,status(thm),[c22,c17]) ).
cnf(clause_6_04_028,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_029,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_030,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_031,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_032,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_033,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_034,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_4_12_035,axiom,
( ~ 'E'(f(X62),s(s(s(s('0')))))
| ~ 'E'(f(X63),s(s(s(s(s('0'))))))
| ~ 'E'(f(X64),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))) ),
input ).
cnf(c13_036,plain,
( ~ 'E'(f(X72),s(s(s(s('0')))))
| ~ 'E'(f(X73),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))) ),
inference(resolution,status(thm),[clause_4_12,clause_8_05]) ).
cnf(c15_037,plain,
( ~ 'E'(f(X75),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))) ),
inference(resolution,status(thm),[c13,clause_6_04]) ).
cnf(c16_038,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),
inference(resolution,status(thm),[c15,c2]) ).
cnf(clause_6_04_039,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_040,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_041,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_042,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_043,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_044,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_045,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_12_09_046,axiom,
( ~ 'E'(f(X81),s(s(s(s('0')))))
| ~ 'E'(f(X82),s(s(s(s(s('0'))))))
| ~ 'E'(f(X83),s(s(s('0'))))
| ~ 'E'(f(X84),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X85)),s('0')) ),
input ).
cnf(c19_047,plain,
( ~ 'E'(f(X86),s(s(s(s('0')))))
| ~ 'E'(f(X87),s(s(s('0'))))
| ~ 'E'(f(X88),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X89)),s('0')) ),
inference(resolution,status(thm),[clause_12_09,clause_8_05]) ).
cnf(c20_048,plain,
( ~ 'E'(f(X90),s(s(s('0'))))
| ~ 'E'(f(X91),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X92)),s('0')) ),
inference(resolution,status(thm),[c19,clause_6_04]) ).
cnf(c21_049,plain,
( ~ 'E'(f(X93),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X94)),s('0')) ),
inference(resolution,status(thm),[c20,c2]) ).
cnf(c22_050,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X95)),s('0')),
inference(resolution,status(thm),[c21,c16]) ).
cnf(clause_6_04_051,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_052,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_053,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_054,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_055,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_056,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_057,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_4_12_058,axiom,
( ~ 'E'(f(X62),s(s(s(s('0')))))
| ~ 'E'(f(X63),s(s(s(s(s('0'))))))
| ~ 'E'(f(X64),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))) ),
input ).
cnf(c13_059,plain,
( ~ 'E'(f(X72),s(s(s(s('0')))))
| ~ 'E'(f(X73),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))) ),
inference(resolution,status(thm),[clause_4_12,clause_8_05]) ).
cnf(c15_060,plain,
( ~ 'E'(f(X75),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))) ),
inference(resolution,status(thm),[c13,clause_6_04]) ).
cnf(c16_061,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),
inference(resolution,status(thm),[c15,c2]) ).
cnf(clause_6_04_062,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_063,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_1_10_064,axiom,
( ~ 'E'(f(X7),s(s(s(s('0')))))
| ~ 'E'(f(X8),s(s(s(s(s('0'))))))
| 'E'(f(X8),s(s(s('0')))) ),
input ).
cnf(c0_065,plain,
( ~ 'E'(f(X13),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,status(thm),[clause_1_10,clause_8_05]) ).
cnf(c2_066,plain,
'E'(f(X15),s(s(s('0')))),
inference(resolution,status(thm),[c0,clause_6_04]) ).
cnf(clause_6_04_067,axiom,
'E'(f(X1),s(s(s(s('0'))))),
input ).
cnf(clause_8_05_068,axiom,
'E'(f(X4),s(s(s(s(s('0')))))),
input ).
cnf(clause_2_07,axiom,
( ~ 'E'(f(X66),s(s('0')))
| ~ 'E'(f(X67),s(s(s(s('0')))))
| ~ 'E'(f(X68),s(s(s('0'))))
| ~ 'E'(f(X69),s('0'))
| ~ 'E'(f(X70),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X71)),'0') ),
input ).
cnf(c14,plain,
( ~ 'E'(f(X103),s(s('0')))
| ~ 'E'(f(X104),s(s(s(s('0')))))
| ~ 'E'(f(X105),s(s(s('0'))))
| ~ 'E'(f(X106),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X107)),'0') ),
inference(resolution,status(thm),[clause_2_07,clause_8_05]) ).
cnf(c25,plain,
( ~ 'E'(f(X108),s(s('0')))
| ~ 'E'(f(X109),s(s(s('0'))))
| ~ 'E'(f(X110),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X111)),'0') ),
inference(resolution,status(thm),[c14,clause_6_04]) ).
cnf(c26,plain,
( ~ 'E'(f(X112),s(s('0')))
| ~ 'E'(f(X113),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X114)),'0') ),
inference(resolution,status(thm),[c25,c2]) ).
cnf(c27,plain,
( ~ 'E'(f(X115),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X116)),'0') ),
inference(resolution,status(thm),[c26,c16]) ).
cnf(c28,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X117)),'0'),
inference(resolution,status(thm),[c27,c22]) ).
cnf(c29,plain,
$false,
inference(resolution,status(thm),[c28,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO633-1 : TPTP v7.5.0. Released v7.1.0.
% 0.06/0.13 % Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % RAMPerCPU : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Mar 14 10:16:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 # Using default include path : /export/starexec/sandbox/benchmark
% 0.19/0.47 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.19/0.47 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.19/0.51 # hasConjecture: false isFOF: false
% 0.19/0.51 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.51 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.97/0.65 # -----------------
% 0.97/0.65 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.65
% 0.97/0.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.65 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.65 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.65 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.65 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.65 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.65 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.65 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.65 cnf(clause_5_03,axiom,~'E'(f(X42),s(s('0')))|~'E'(f(X43),s(s(s(s('0')))))|~'E'(f(X44),s(s(s('0'))))|~'E'(f(X45),s('0'))|~'E'(f(X46),'0')|~'E'(f(X47),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(c10,plain,~'E'(f(X50),s(s('0')))|~'E'(f(X51),s(s(s(s('0')))))|~'E'(f(X52),s(s(s('0'))))|~'E'(f(X53),s('0'))|~'E'(f(X54),'0'),inference(resolution, status(thm), [clause_5_03, clause_8_05])).
% 0.97/0.66 cnf(c11,plain,~'E'(f(X55),s(s('0')))|~'E'(f(X56),s(s(s('0'))))|~'E'(f(X57),s('0'))|~'E'(f(X58),'0'),inference(resolution, status(thm), [c10, clause_6_04])).
% 0.97/0.66 cnf(c12,plain,~'E'(f(X59),s(s('0')))|~'E'(f(X60),s('0'))|~'E'(f(X61),'0'),inference(resolution, status(thm), [c11, c2])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_4_12,axiom,~'E'(f(X62),s(s(s(s('0')))))|~'E'(f(X63),s(s(s(s(s('0'))))))|~'E'(f(X64),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))),input).
% 0.97/0.66 cnf(c13,plain,~'E'(f(X72),s(s(s(s('0')))))|~'E'(f(X73),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))),inference(resolution, status(thm), [clause_4_12, clause_8_05])).
% 0.97/0.66 cnf(c15,plain,~'E'(f(X75),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))),inference(resolution, status(thm), [c13, clause_6_04])).
% 0.97/0.66 cnf(c16,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),inference(resolution, status(thm), [c15, c2])).
% 0.97/0.66 cnf(c17,plain,~'E'(f(X78),s('0'))|~'E'(f(X79),'0'),inference(resolution, status(thm), [c16, c12])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_4_12,axiom,~'E'(f(X62),s(s(s(s('0')))))|~'E'(f(X63),s(s(s(s(s('0'))))))|~'E'(f(X64),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))),input).
% 0.97/0.66 cnf(c13,plain,~'E'(f(X72),s(s(s(s('0')))))|~'E'(f(X73),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))),inference(resolution, status(thm), [clause_4_12, clause_8_05])).
% 0.97/0.66 cnf(c15,plain,~'E'(f(X75),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))),inference(resolution, status(thm), [c13, clause_6_04])).
% 0.97/0.66 cnf(c16,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),inference(resolution, status(thm), [c15, c2])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_12_09,axiom,~'E'(f(X81),s(s(s(s('0')))))|~'E'(f(X82),s(s(s(s(s('0'))))))|~'E'(f(X83),s(s(s('0'))))|~'E'(f(X84),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X85)),s('0')),input).
% 0.97/0.66 cnf(c19,plain,~'E'(f(X86),s(s(s(s('0')))))|~'E'(f(X87),s(s(s('0'))))|~'E'(f(X88),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X89)),s('0')),inference(resolution, status(thm), [clause_12_09, clause_8_05])).
% 0.97/0.66 cnf(c20,plain,~'E'(f(X90),s(s(s('0'))))|~'E'(f(X91),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X92)),s('0')),inference(resolution, status(thm), [c19, clause_6_04])).
% 0.97/0.66 cnf(c21,plain,~'E'(f(X93),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X94)),s('0')),inference(resolution, status(thm), [c20, c2])).
% 0.97/0.66 cnf(c22,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X95)),s('0')),inference(resolution, status(thm), [c21, c16])).
% 0.97/0.66 cnf(c23,plain,~'E'(f(X96),'0'),inference(resolution, status(thm), [c22, c17])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_4_12,axiom,~'E'(f(X62),s(s(s(s('0')))))|~'E'(f(X63),s(s(s(s(s('0'))))))|~'E'(f(X64),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))),input).
% 0.97/0.66 cnf(c13,plain,~'E'(f(X72),s(s(s(s('0')))))|~'E'(f(X73),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))),inference(resolution, status(thm), [clause_4_12, clause_8_05])).
% 0.97/0.66 cnf(c15,plain,~'E'(f(X75),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))),inference(resolution, status(thm), [c13, clause_6_04])).
% 0.97/0.66 cnf(c16,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),inference(resolution, status(thm), [c15, c2])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_12_09,axiom,~'E'(f(X81),s(s(s(s('0')))))|~'E'(f(X82),s(s(s(s(s('0'))))))|~'E'(f(X83),s(s(s('0'))))|~'E'(f(X84),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X85)),s('0')),input).
% 0.97/0.66 cnf(c19,plain,~'E'(f(X86),s(s(s(s('0')))))|~'E'(f(X87),s(s(s('0'))))|~'E'(f(X88),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X89)),s('0')),inference(resolution, status(thm), [clause_12_09, clause_8_05])).
% 0.97/0.66 cnf(c20,plain,~'E'(f(X90),s(s(s('0'))))|~'E'(f(X91),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X92)),s('0')),inference(resolution, status(thm), [c19, clause_6_04])).
% 0.97/0.66 cnf(c21,plain,~'E'(f(X93),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X94)),s('0')),inference(resolution, status(thm), [c20, c2])).
% 0.97/0.66 cnf(c22,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X95)),s('0')),inference(resolution, status(thm), [c21, c16])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_4_12,axiom,~'E'(f(X62),s(s(s(s('0')))))|~'E'(f(X63),s(s(s(s(s('0'))))))|~'E'(f(X64),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X65)),s(s('0'))),input).
% 0.97/0.66 cnf(c13,plain,~'E'(f(X72),s(s(s(s('0')))))|~'E'(f(X73),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X74)),s(s('0'))),inference(resolution, status(thm), [clause_4_12, clause_8_05])).
% 0.97/0.66 cnf(c15,plain,~'E'(f(X75),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X76)),s(s('0'))),inference(resolution, status(thm), [c13, clause_6_04])).
% 0.97/0.66 cnf(c16,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))),inference(resolution, status(thm), [c15, c2])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_1_10,axiom,~'E'(f(X7),s(s(s(s('0')))))|~'E'(f(X8),s(s(s(s(s('0'))))))|'E'(f(X8),s(s(s('0')))),input).
% 0.97/0.66 cnf(c0,plain,~'E'(f(X13),s(s(s(s('0')))))|'E'(f(X14),s(s(s('0')))),inference(resolution, status(thm), [clause_1_10, clause_8_05])).
% 0.97/0.66 cnf(c2,plain,'E'(f(X15),s(s(s('0')))),inference(resolution, status(thm), [c0, clause_6_04])).
% 0.97/0.66 cnf(clause_6_04,axiom,'E'(f(X1),s(s(s(s('0'))))),input).
% 0.97/0.66 cnf(clause_8_05,axiom,'E'(f(X4),s(s(s(s(s('0')))))),input).
% 0.97/0.66 cnf(clause_2_07,axiom,~'E'(f(X66),s(s('0')))|~'E'(f(X67),s(s(s(s('0')))))|~'E'(f(X68),s(s(s('0'))))|~'E'(f(X69),s('0'))|~'E'(f(X70),s(s(s(s(s('0'))))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X71)),'0'),input).
% 0.97/0.66 cnf(c14,plain,~'E'(f(X103),s(s('0')))|~'E'(f(X104),s(s(s(s('0')))))|~'E'(f(X105),s(s(s('0'))))|~'E'(f(X106),s('0'))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X107)),'0'),inference(resolution, status(thm), [clause_2_07, clause_8_05])).
% 0.97/0.66 cnf(c25,plain,~'E'(f(X108),s(s('0')))|~'E'(f(X109),s(s(s('0'))))|~'E'(f(X110),s('0'))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X111)),'0'),inference(resolution, status(thm), [c14, clause_6_04])).
% 0.97/0.66 cnf(c26,plain,~'E'(f(X112),s(s('0')))|~'E'(f(X113),s('0'))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X114)),'0'),inference(resolution, status(thm), [c25, c2])).
% 0.97/0.66 cnf(c27,plain,~'E'(f(X115),s('0'))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X116)),'0'),inference(resolution, status(thm), [c26, c16])).
% 0.97/0.66 cnf(c28,plain,'E'(f('AP'(s(s(s(s(s(s('0')))))),X117)),'0'),inference(resolution, status(thm), [c27, c22])).
% 0.97/0.66 cnf(c29,plain,$false,inference(resolution, status(thm), [c28, c23])).
% 0.97/0.66 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.66 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.66 # Indexed : true
% 0.97/0.66 # Eval function name : PickGiven5
% 0.97/0.66 # Initial clauses : 13
% 0.97/0.66 # Processed clauses : 42
% 0.97/0.66 # Factors computed : 0
% 0.97/0.66 # Resolvents computed: 31
% 0.97/0.66 # Tautologies deleted: 0
% 0.97/0.66 # Forward subsumed : 0
% 0.97/0.66 # Backward subsumed : 47
% 0.97/0.66 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.66 # SZS Expected : Unsatisfiable
% 0.97/0.66 # time : 137ms
% 0.97/0.66
%------------------------------------------------------------------------------