TSTP Solution File: SYO633-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 : Thu Jul 21 19:22:57 EDT 2022

% Result   : Unsatisfiable 0.43s 0.60s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_6_04,axiom,
    'E'(f(X2),s(s(s(s('0'))))),
    input ).

cnf(clause_8_05,axiom,
    'E'(f(X5),s(s(s(s(s('0')))))),
    input ).

cnf(clause_1_10,axiom,
    ( ~ 'E'(f(X9),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(X15),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(X16),s(s(s('0')))),
    inference(resolution,status(thm),[c0,clause_6_04]) ).

cnf(clause_5_03,axiom,
    ( ~ 'E'(f(X47),s(s('0')))
    | ~ 'E'(f(X48),s(s(s(s('0')))))
    | ~ 'E'(f(X44),s(s(s('0'))))
    | ~ 'E'(f(X43),s('0'))
    | ~ 'E'(f(X46),'0')
    | ~ 'E'(f(X45),s(s(s(s(s('0')))))) ),
    input ).

cnf(c10,plain,
    ( ~ 'E'(f(X54),s(s('0')))
    | ~ 'E'(f(X55),s(s(s(s('0')))))
    | ~ 'E'(f(X51),s(s(s('0'))))
    | ~ 'E'(f(X53),s('0'))
    | ~ 'E'(f(X52),'0') ),
    inference(resolution,status(thm),[clause_5_03,clause_8_05]) ).

cnf(c11,plain,
    ( ~ 'E'(f(X57),s(s('0')))
    | ~ 'E'(f(X59),s(s(s('0'))))
    | ~ 'E'(f(X56),s('0'))
    | ~ 'E'(f(X58),'0') ),
    inference(resolution,status(thm),[c10,clause_6_04]) ).

cnf(c12,plain,
    ( ~ 'E'(f(X62),s(s('0')))
    | ~ 'E'(f(X60),s('0'))
    | ~ 'E'(f(X61),'0') ),
    inference(resolution,status(thm),[c11,c2]) ).

cnf(clause_4_12,axiom,
    ( ~ 'E'(f(X66),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(X74),s(s(s(s('0')))))
    | ~ 'E'(f(X75),s(s(s('0'))))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X73)),s(s('0'))) ),
    inference(resolution,status(thm),[clause_4_12,clause_8_05]) ).

cnf(c15,plain,
    ( ~ 'E'(f(X77),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')))))),X78)),s(s('0'))),
    inference(resolution,status(thm),[c15,c2]) ).

cnf(c17,plain,
    ( ~ 'E'(f(X80),s('0'))
    | ~ 'E'(f(X79),'0') ),
    inference(resolution,status(thm),[c16,c12]) ).

cnf(clause_12_09,axiom,
    ( ~ 'E'(f(X86),s(s(s(s('0')))))
    | ~ 'E'(f(X83),s(s(s(s(s('0'))))))
    | ~ 'E'(f(X82),s(s(s('0'))))
    | ~ 'E'(f(X85),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X84)),s('0')) ),
    input ).

cnf(c19,plain,
    ( ~ 'E'(f(X90),s(s(s(s('0')))))
    | ~ 'E'(f(X88),s(s(s('0'))))
    | ~ 'E'(f(X89),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X87)),s('0')) ),
    inference(resolution,status(thm),[clause_12_09,clause_8_05]) ).

cnf(c20,plain,
    ( ~ 'E'(f(X91),s(s(s('0'))))
    | ~ 'E'(f(X92),s(s('0')))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X93)),s('0')) ),
    inference(resolution,status(thm),[c19,clause_6_04]) ).

cnf(c21,plain,
    ( ~ 'E'(f(X95),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')))))),X96)),s('0')),
    inference(resolution,status(thm),[c21,c16]) ).

cnf(c23,plain,
    ~ 'E'(f(X97),'0'),
    inference(resolution,status(thm),[c22,c17]) ).

cnf(clause_2_07,axiom,
    ( ~ 'E'(f(X71),s(s('0')))
    | ~ 'E'(f(X72),s(s(s(s('0')))))
    | ~ 'E'(f(X68),s(s(s('0'))))
    | ~ 'E'(f(X67),s('0'))
    | ~ 'E'(f(X69),s(s(s(s(s('0'))))))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X70)),'0') ),
    input ).

cnf(c14,plain,
    ( ~ 'E'(f(X105),s(s('0')))
    | ~ 'E'(f(X104),s(s(s(s('0')))))
    | ~ 'E'(f(X106),s(s(s('0'))))
    | ~ 'E'(f(X107),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X108)),'0') ),
    inference(resolution,status(thm),[clause_2_07,clause_8_05]) ).

cnf(c25,plain,
    ( ~ 'E'(f(X111),s(s('0')))
    | ~ 'E'(f(X110),s(s(s('0'))))
    | ~ 'E'(f(X112),s('0'))
    | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X109)),'0') ),
    inference(resolution,status(thm),[c14,clause_6_04]) ).

cnf(c26,plain,
    ( ~ 'E'(f(X113),s(s('0')))
    | ~ 'E'(f(X115),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(X117),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')))))),X118)),'0'),
    inference(resolution,status(thm),[c27,c22]) ).

cnf(c29,plain,
    $false,
    inference(resolution,status(thm),[c28,c23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 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 : Fri Jul  8 16:01:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/0.60  # Version:  1.3
% 0.43/0.60  # SZS status Unsatisfiable
% 0.43/0.60  # SZS output start CNFRefutation
% See solution above
% 0.43/0.60  
% 0.43/0.60  # Initial clauses    : 13
% 0.43/0.60  # Processed clauses  : 42
% 0.43/0.60  # Factors computed   : 0
% 0.43/0.60  # Resolvents computed: 31
% 0.43/0.60  # Tautologies deleted: 0
% 0.43/0.60  # Forward subsumed   : 0
% 0.43/0.60  # Backward subsumed  : 29
% 0.43/0.60  # -------- CPU Time ---------
% 0.43/0.60  # User time          : 0.228 s
% 0.43/0.60  # System time        : 0.018 s
% 0.43/0.60  # Total time         : 0.246 s
%------------------------------------------------------------------------------