TSTP Solution File: SYO614-1 by JavaRes---1.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : JavaRes---1.3.0
% Problem  : SYO614-1 : TPTP v7.5.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s

% Computer : n029.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 03:33:50 EDT 2022

% Result   : Unsatisfiable 1.48s 0.83s
% Output   : CNFRefutation 1.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(sos_04,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_04_001,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_01,axiom,
    le(X1,X1),
    input ).

cnf(sos_05,axiom,
    ( ~ eq(f(X29),a0)
    | ~ eq(f(X30),a0)
    | ~ le(s(X29),X30) ),
    input ).

cnf(c17,plain,
    ( ~ eq(f(X71),a0)
    | ~ eq(f(s(X71)),a0) ),
    inference(resolution,status(thm),[sos_05,sos_01]) ).

cnf(c68,plain,
    ( ~ eq(f(X155),a0)
    | eq(f(s(X155)),a1) ),
    inference(resolution,status(thm),[c17,sos_04]) ).

cnf(c130,plain,
    ( eq(f(s(X157)),a1)
    | eq(f(X157),a1) ),
    inference(resolution,status(thm),[c68,sos_04]) ).

cnf(sos_02,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(sos_01_002,axiom,
    le(X1,X1),
    input ).

cnf(sos_02_003,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(c0,plain,
    le(X5,max(X5,X6)),
    inference(resolution,status(thm),[sos_02,sos_01]) ).

cnf(sos_03,axiom,
    ( ~ le(max(X10,X11),X12)
    | le(X11,X12) ),
    input ).

cnf(c5,plain,
    le(X16,max(max(X17,X16),X18)),
    inference(resolution,status(thm),[sos_03,c0]) ).

cnf(c9,plain,
    le(X39,max(max(X40,max(X39,X41)),X42)),
    inference(resolution,status(thm),[c5,sos_02]) ).

cnf(sos_06,axiom,
    ( ~ eq(f(X51),a1)
    | ~ eq(f(X52),a1)
    | ~ le(s(X51),X52) ),
    input ).

cnf(c39,plain,
    ( ~ eq(f(X321),a1)
    | ~ eq(f(max(max(X322,max(s(X321),X323)),X324)),a1) ),
    inference(resolution,status(thm),[sos_06,c9]) ).

cnf(sos_04_004,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_04_005,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_01_006,axiom,
    le(X1,X1),
    input ).

cnf(sos_03_007,axiom,
    ( ~ le(max(X10,X11),X12)
    | le(X11,X12) ),
    input ).

cnf(c3,plain,
    le(X14,max(X15,X14)),
    inference(resolution,status(thm),[sos_03,sos_01]) ).

cnf(sos_05_008,axiom,
    ( ~ eq(f(X29),a0)
    | ~ eq(f(X30),a0)
    | ~ le(s(X29),X30) ),
    input ).

cnf(c18,plain,
    ( ~ eq(f(X100),a0)
    | ~ eq(f(max(X101,s(X100))),a0) ),
    inference(resolution,status(thm),[sos_05,c3]) ).

cnf(c90,plain,
    ( ~ eq(f(X295),a0)
    | eq(f(max(X296,s(X295))),a1) ),
    inference(resolution,status(thm),[c18,sos_04]) ).

cnf(c262,plain,
    ( eq(f(max(X426,s(X427))),a1)
    | eq(f(X427),a1) ),
    inference(resolution,status(thm),[c90,sos_04]) ).

cnf(c366,plain,
    ( eq(f(X428),a1)
    | ~ eq(f(X429),a1) ),
    inference(resolution,status(thm),[c262,c39]) ).

cnf(c388,plain,
    ( eq(f(X443),a1)
    | eq(f(X444),a1) ),
    inference(resolution,status(thm),[c366,c130]) ).

cnf(c430,plain,
    eq(f(X448),a1),
    inference(factor,status(thm),[c388]) ).

cnf(sos_02_009,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(sos_01_010,axiom,
    le(X1,X1),
    input ).

cnf(sos_02_011,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(c0_012,plain,
    le(X5,max(X5,X6)),
    inference(resolution,status(thm),[sos_02,sos_01]) ).

cnf(sos_03_013,axiom,
    ( ~ le(max(X10,X11),X12)
    | le(X11,X12) ),
    input ).

cnf(c5_014,plain,
    le(X16,max(max(X17,X16),X18)),
    inference(resolution,status(thm),[sos_03,c0]) ).

cnf(c9_015,plain,
    le(X39,max(max(X40,max(X39,X41)),X42)),
    inference(resolution,status(thm),[c5,sos_02]) ).

cnf(sos_06_016,axiom,
    ( ~ eq(f(X51),a1)
    | ~ eq(f(X52),a1)
    | ~ le(s(X51),X52) ),
    input ).

cnf(c39_017,plain,
    ( ~ eq(f(X321),a1)
    | ~ eq(f(max(max(X322,max(s(X321),X323)),X324)),a1) ),
    inference(resolution,status(thm),[sos_06,c9]) ).

cnf(sos_04_018,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_04_019,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_01_020,axiom,
    le(X1,X1),
    input ).

cnf(sos_05_021,axiom,
    ( ~ eq(f(X29),a0)
    | ~ eq(f(X30),a0)
    | ~ le(s(X29),X30) ),
    input ).

cnf(c17_022,plain,
    ( ~ eq(f(X71),a0)
    | ~ eq(f(s(X71)),a0) ),
    inference(resolution,status(thm),[sos_05,sos_01]) ).

cnf(c68_023,plain,
    ( ~ eq(f(X155),a0)
    | eq(f(s(X155)),a1) ),
    inference(resolution,status(thm),[c17,sos_04]) ).

cnf(c130_024,plain,
    ( eq(f(s(X157)),a1)
    | eq(f(X157),a1) ),
    inference(resolution,status(thm),[c68,sos_04]) ).

cnf(sos_02_025,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(sos_01_026,axiom,
    le(X1,X1),
    input ).

cnf(sos_02_027,axiom,
    ( ~ le(max(X2,X3),X4)
    | le(X2,X4) ),
    input ).

cnf(c0_028,plain,
    le(X5,max(X5,X6)),
    inference(resolution,status(thm),[sos_02,sos_01]) ).

cnf(sos_03_029,axiom,
    ( ~ le(max(X10,X11),X12)
    | le(X11,X12) ),
    input ).

cnf(c5_030,plain,
    le(X16,max(max(X17,X16),X18)),
    inference(resolution,status(thm),[sos_03,c0]) ).

cnf(c9_031,plain,
    le(X39,max(max(X40,max(X39,X41)),X42)),
    inference(resolution,status(thm),[c5,sos_02]) ).

cnf(sos_06_032,axiom,
    ( ~ eq(f(X51),a1)
    | ~ eq(f(X52),a1)
    | ~ le(s(X51),X52) ),
    input ).

cnf(c39_033,plain,
    ( ~ eq(f(X321),a1)
    | ~ eq(f(max(max(X322,max(s(X321),X323)),X324)),a1) ),
    inference(resolution,status(thm),[sos_06,c9]) ).

cnf(sos_04_034,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_04_035,axiom,
    ( eq(f(X13),a0)
    | eq(f(X13),a1) ),
    input ).

cnf(sos_01_036,axiom,
    le(X1,X1),
    input ).

cnf(sos_03_037,axiom,
    ( ~ le(max(X10,X11),X12)
    | le(X11,X12) ),
    input ).

cnf(c3_038,plain,
    le(X14,max(X15,X14)),
    inference(resolution,status(thm),[sos_03,sos_01]) ).

cnf(sos_05_039,axiom,
    ( ~ eq(f(X29),a0)
    | ~ eq(f(X30),a0)
    | ~ le(s(X29),X30) ),
    input ).

cnf(c18_040,plain,
    ( ~ eq(f(X100),a0)
    | ~ eq(f(max(X101,s(X100))),a0) ),
    inference(resolution,status(thm),[sos_05,c3]) ).

cnf(c90_041,plain,
    ( ~ eq(f(X295),a0)
    | eq(f(max(X296,s(X295))),a1) ),
    inference(resolution,status(thm),[c18,sos_04]) ).

cnf(c262_042,plain,
    ( eq(f(max(X426,s(X427))),a1)
    | eq(f(X427),a1) ),
    inference(resolution,status(thm),[c90,sos_04]) ).

cnf(c366_043,plain,
    ( eq(f(X428),a1)
    | ~ eq(f(X429),a1) ),
    inference(resolution,status(thm),[c262,c39]) ).

cnf(c388_044,plain,
    ( eq(f(X443),a1)
    | eq(f(X444),a1) ),
    inference(resolution,status(thm),[c366,c130]) ).

cnf(c430_045,plain,
    eq(f(X448),a1),
    inference(factor,status(thm),[c388]) ).

cnf(c467,plain,
    ~ eq(f(X449),a1),
    inference(resolution,status(thm),[c430,c39]) ).

cnf(c489,plain,
    $false,
    inference(resolution,status(thm),[c467,c430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO614-1 : TPTP v7.5.0. Released v7.1.0.
% 0.11/0.13  % Command    : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.13/0.34  % Computer   : n029.cluster.edu
% 0.13/0.34  % Model      : x86_64 x86_64
% 0.13/0.34  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % RAMPerCPU  : 8042.1875MB
% 0.13/0.34  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 600
% 0.13/0.34  % DateTime   : Mon Mar 14 07:39:47 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  # Using default include path : /export/starexec/sandbox2/benchmark
% 0.19/0.47  # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox2/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]
% 0.19/0.49  # hasConjecture: false isFOF: false
% 0.19/0.49  # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.50  # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 1.48/0.83  # -----------------
% 1.48/0.83  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.83  
% 1.48/0.83  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_05,axiom,~eq(f(X29),a0)|~eq(f(X30),a0)|~le(s(X29),X30),input).
% 1.48/0.83  cnf(c17,plain,~eq(f(X71),a0)|~eq(f(s(X71)),a0),inference(resolution, status(thm), [sos_05, sos_01])).
% 1.48/0.83  cnf(c68,plain,~eq(f(X155),a0)|eq(f(s(X155)),a1),inference(resolution, status(thm), [c17, sos_04])).
% 1.48/0.83  cnf(c130,plain,eq(f(s(X157)),a1)|eq(f(X157),a1),inference(resolution, status(thm), [c68, sos_04])).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(c0,plain,le(X5,max(X5,X6)),inference(resolution, status(thm), [sos_02, sos_01])).
% 1.48/0.83  cnf(sos_03,axiom,~le(max(X10,X11),X12)|le(X11,X12),input).
% 1.48/0.83  cnf(c5,plain,le(X16,max(max(X17,X16),X18)),inference(resolution, status(thm), [sos_03, c0])).
% 1.48/0.83  cnf(c9,plain,le(X39,max(max(X40,max(X39,X41)),X42)),inference(resolution, status(thm), [c5, sos_02])).
% 1.48/0.83  cnf(sos_06,axiom,~eq(f(X51),a1)|~eq(f(X52),a1)|~le(s(X51),X52),input).
% 1.48/0.83  cnf(c39,plain,~eq(f(X321),a1)|~eq(f(max(max(X322,max(s(X321),X323)),X324)),a1),inference(resolution, status(thm), [sos_06, c9])).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_03,axiom,~le(max(X10,X11),X12)|le(X11,X12),input).
% 1.48/0.83  cnf(c3,plain,le(X14,max(X15,X14)),inference(resolution, status(thm), [sos_03, sos_01])).
% 1.48/0.83  cnf(sos_05,axiom,~eq(f(X29),a0)|~eq(f(X30),a0)|~le(s(X29),X30),input).
% 1.48/0.83  cnf(c18,plain,~eq(f(X100),a0)|~eq(f(max(X101,s(X100))),a0),inference(resolution, status(thm), [sos_05, c3])).
% 1.48/0.83  cnf(c90,plain,~eq(f(X295),a0)|eq(f(max(X296,s(X295))),a1),inference(resolution, status(thm), [c18, sos_04])).
% 1.48/0.83  cnf(c262,plain,eq(f(max(X426,s(X427))),a1)|eq(f(X427),a1),inference(resolution, status(thm), [c90, sos_04])).
% 1.48/0.83  cnf(c366,plain,eq(f(X428),a1)|~eq(f(X429),a1),inference(resolution, status(thm), [c262, c39])).
% 1.48/0.83  cnf(c388,plain,eq(f(X443),a1)|eq(f(X444),a1),inference(resolution, status(thm), [c366, c130])).
% 1.48/0.83  cnf(c430,plain,eq(f(X448),a1),inference(factor, status(thm), [c388])).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(c0,plain,le(X5,max(X5,X6)),inference(resolution, status(thm), [sos_02, sos_01])).
% 1.48/0.83  cnf(sos_03,axiom,~le(max(X10,X11),X12)|le(X11,X12),input).
% 1.48/0.83  cnf(c5,plain,le(X16,max(max(X17,X16),X18)),inference(resolution, status(thm), [sos_03, c0])).
% 1.48/0.83  cnf(c9,plain,le(X39,max(max(X40,max(X39,X41)),X42)),inference(resolution, status(thm), [c5, sos_02])).
% 1.48/0.83  cnf(sos_06,axiom,~eq(f(X51),a1)|~eq(f(X52),a1)|~le(s(X51),X52),input).
% 1.48/0.83  cnf(c39,plain,~eq(f(X321),a1)|~eq(f(max(max(X322,max(s(X321),X323)),X324)),a1),inference(resolution, status(thm), [sos_06, c9])).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_05,axiom,~eq(f(X29),a0)|~eq(f(X30),a0)|~le(s(X29),X30),input).
% 1.48/0.83  cnf(c17,plain,~eq(f(X71),a0)|~eq(f(s(X71)),a0),inference(resolution, status(thm), [sos_05, sos_01])).
% 1.48/0.83  cnf(c68,plain,~eq(f(X155),a0)|eq(f(s(X155)),a1),inference(resolution, status(thm), [c17, sos_04])).
% 1.48/0.83  cnf(c130,plain,eq(f(s(X157)),a1)|eq(f(X157),a1),inference(resolution, status(thm), [c68, sos_04])).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_02,axiom,~le(max(X2,X3),X4)|le(X2,X4),input).
% 1.48/0.83  cnf(c0,plain,le(X5,max(X5,X6)),inference(resolution, status(thm), [sos_02, sos_01])).
% 1.48/0.83  cnf(sos_03,axiom,~le(max(X10,X11),X12)|le(X11,X12),input).
% 1.48/0.83  cnf(c5,plain,le(X16,max(max(X17,X16),X18)),inference(resolution, status(thm), [sos_03, c0])).
% 1.48/0.83  cnf(c9,plain,le(X39,max(max(X40,max(X39,X41)),X42)),inference(resolution, status(thm), [c5, sos_02])).
% 1.48/0.83  cnf(sos_06,axiom,~eq(f(X51),a1)|~eq(f(X52),a1)|~le(s(X51),X52),input).
% 1.48/0.83  cnf(c39,plain,~eq(f(X321),a1)|~eq(f(max(max(X322,max(s(X321),X323)),X324)),a1),inference(resolution, status(thm), [sos_06, c9])).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_04,axiom,eq(f(X13),a0)|eq(f(X13),a1),input).
% 1.48/0.83  cnf(sos_01,axiom,le(X1,X1),input).
% 1.48/0.83  cnf(sos_03,axiom,~le(max(X10,X11),X12)|le(X11,X12),input).
% 1.48/0.83  cnf(c3,plain,le(X14,max(X15,X14)),inference(resolution, status(thm), [sos_03, sos_01])).
% 1.48/0.83  cnf(sos_05,axiom,~eq(f(X29),a0)|~eq(f(X30),a0)|~le(s(X29),X30),input).
% 1.48/0.83  cnf(c18,plain,~eq(f(X100),a0)|~eq(f(max(X101,s(X100))),a0),inference(resolution, status(thm), [sos_05, c3])).
% 1.48/0.83  cnf(c90,plain,~eq(f(X295),a0)|eq(f(max(X296,s(X295))),a1),inference(resolution, status(thm), [c18, sos_04])).
% 1.48/0.83  cnf(c262,plain,eq(f(max(X426,s(X427))),a1)|eq(f(X427),a1),inference(resolution, status(thm), [c90, sos_04])).
% 1.48/0.83  cnf(c366,plain,eq(f(X428),a1)|~eq(f(X429),a1),inference(resolution, status(thm), [c262, c39])).
% 1.48/0.83  cnf(c388,plain,eq(f(X443),a1)|eq(f(X444),a1),inference(resolution, status(thm), [c366, c130])).
% 1.48/0.83  cnf(c430,plain,eq(f(X448),a1),inference(factor, status(thm), [c388])).
% 1.48/0.83  cnf(c467,plain,~eq(f(X449),a1),inference(resolution, status(thm), [c430, c39])).
% 1.48/0.83  cnf(c489,plain,$false,inference(resolution, status(thm), [c467, c430])).
% 1.48/0.83  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.83  # Filename           : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.83  # Indexed            : true
% 1.48/0.83  # Eval function name : PickGiven5
% 1.48/0.83  # Initial clauses    : 6
% 1.48/0.83  # Processed clauses  : 110
% 1.48/0.83  # Factors computed   : 1
% 1.48/0.83  # Resolvents computed: 492
% 1.48/0.83  # Tautologies deleted: 3
% 1.48/0.83  # Forward subsumed   : 15
% 1.48/0.83  # Backward subsumed  : 35
% 1.48/0.83  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.83  # SZS Expected       : Unsatisfiable
% 1.48/0.83  # time               : 334ms
% 1.48/0.84  
%------------------------------------------------------------------------------