TSTP Solution File: SYN059+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 11:24:59 EDT 2022

% Result   : Theorem 0.50s 0.67s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 00:31:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.50/0.67  # Version:  1.3
% 0.50/0.67  # SZS status Theorem
% 0.50/0.67  # SZS output start CNFRefutation
% 0.50/0.67  fof(pel29,conjecture,(((![X]:(big_f(X)=>big_h(X)))&(![U]:(big_g(U)=>big_j(U))))<=>(![W]:(![Y]:((big_f(W)&big_g(Y))=>(big_h(W)&big_j(Y)))))),input).
% 0.50/0.67  fof(c0,negated_conjecture,(~(((![X]:(big_f(X)=>big_h(X)))&(![U]:(big_g(U)=>big_j(U))))<=>(![W]:(![Y]:((big_f(W)&big_g(Y))=>(big_h(W)&big_j(Y))))))),inference(assume_negation,status(cth),[pel29])).
% 0.50/0.67  fof(c1,negated_conjecture,((((?[X]:(big_f(X)&~big_h(X)))|(?[U]:(big_g(U)&~big_j(U))))|(?[W]:(?[Y]:((big_f(W)&big_g(Y))&(~big_h(W)|~big_j(Y))))))&(((![X]:(~big_f(X)|big_h(X)))&(![U]:(~big_g(U)|big_j(U))))|(![W]:(![Y]:((~big_f(W)|~big_g(Y))|(big_h(W)&big_j(Y))))))),inference(fof_nnf,status(thm),[c0])).
% 0.50/0.67  fof(c2,negated_conjecture,((((?[X2]:(big_f(X2)&~big_h(X2)))|(?[X3]:(big_g(X3)&~big_j(X3))))|(?[X4]:(?[X5]:((big_f(X4)&big_g(X5))&(~big_h(X4)|~big_j(X5))))))&(((![X6]:(~big_f(X6)|big_h(X6)))&(![X7]:(~big_g(X7)|big_j(X7))))|(![X8]:(![X9]:((~big_f(X8)|~big_g(X9))|(big_h(X8)&big_j(X9))))))),inference(variable_rename,status(thm),[c1])).
% 0.50/0.67  fof(c4,negated_conjecture,(![X6]:(![X7]:(![X8]:(![X9]:((((big_f(skolem0001)&~big_h(skolem0001))|(big_g(skolem0002)&~big_j(skolem0002)))|((big_f(skolem0003)&big_g(skolem0004))&(~big_h(skolem0003)|~big_j(skolem0004))))&(((~big_f(X6)|big_h(X6))&(~big_g(X7)|big_j(X7)))|((~big_f(X8)|~big_g(X9))|(big_h(X8)&big_j(X9))))))))),inference(shift_quantors,status(thm),[fof(c3,negated_conjecture,((((big_f(skolem0001)&~big_h(skolem0001))|(big_g(skolem0002)&~big_j(skolem0002)))|((big_f(skolem0003)&big_g(skolem0004))&(~big_h(skolem0003)|~big_j(skolem0004))))&(((![X6]:(~big_f(X6)|big_h(X6)))&(![X7]:(~big_g(X7)|big_j(X7))))|(![X8]:(![X9]:((~big_f(X8)|~big_g(X9))|(big_h(X8)&big_j(X9))))))),inference(skolemize,status(esa),[c2])).])).
% 0.50/0.67  fof(c5,negated_conjecture,(![X6]:(![X7]:(![X8]:(![X9]:(((((((big_f(skolem0001)|big_g(skolem0002))|big_f(skolem0003))&((big_f(skolem0001)|big_g(skolem0002))|big_g(skolem0004)))&((big_f(skolem0001)|big_g(skolem0002))|(~big_h(skolem0003)|~big_j(skolem0004))))&((((big_f(skolem0001)|~big_j(skolem0002))|big_f(skolem0003))&((big_f(skolem0001)|~big_j(skolem0002))|big_g(skolem0004)))&((big_f(skolem0001)|~big_j(skolem0002))|(~big_h(skolem0003)|~big_j(skolem0004)))))&(((((~big_h(skolem0001)|big_g(skolem0002))|big_f(skolem0003))&((~big_h(skolem0001)|big_g(skolem0002))|big_g(skolem0004)))&((~big_h(skolem0001)|big_g(skolem0002))|(~big_h(skolem0003)|~big_j(skolem0004))))&((((~big_h(skolem0001)|~big_j(skolem0002))|big_f(skolem0003))&((~big_h(skolem0001)|~big_j(skolem0002))|big_g(skolem0004)))&((~big_h(skolem0001)|~big_j(skolem0002))|(~big_h(skolem0003)|~big_j(skolem0004))))))&((((~big_f(X6)|big_h(X6))|((~big_f(X8)|~big_g(X9))|big_h(X8)))&((~big_f(X6)|big_h(X6))|((~big_f(X8)|~big_g(X9))|big_j(X9))))&(((~big_g(X7)|big_j(X7))|((~big_f(X8)|~big_g(X9))|big_h(X8)))&((~big_g(X7)|big_j(X7))|((~big_f(X8)|~big_g(X9))|big_j(X9)))))))))),inference(distribute,status(thm),[c4])).
% 0.50/0.67  cnf(c15,negated_conjecture,~big_h(skolem0001)|~big_j(skolem0002)|big_f(skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c12,negated_conjecture,~big_h(skolem0001)|big_g(skolem0002)|big_f(skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c6,negated_conjecture,big_f(skolem0001)|big_g(skolem0002)|big_f(skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  fof(pel29_2,axiom,(?[Y]:big_g(Y)),input).
% 0.50/0.67  fof(c22,axiom,(?[X10]:big_g(X10)),inference(variable_rename,status(thm),[pel29_2])).
% 0.50/0.67  fof(c23,axiom,big_g(skolem0005),inference(skolemize,status(esa),[c22])).
% 0.50/0.67  cnf(c24,axiom,big_g(skolem0005),inference(split_conjunct,status(thm),[c23])).
% 0.50/0.67  cnf(c18,negated_conjecture,~big_f(X14)|big_h(X14)|~big_f(X13)|~big_g(X12)|big_h(X13),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c31,plain,~big_f(X16)|big_h(X16)|~big_f(X15)|big_h(X15),inference(resolution,status(thm),[c18, c24])).
% 0.50/0.67  cnf(c33,plain,~big_f(X40)|big_h(X40)|big_h(skolem0001)|big_g(skolem0002)|big_f(skolem0003),inference(resolution,status(thm),[c31, c6])).
% 0.50/0.67  cnf(c73,plain,big_h(skolem0001)|big_g(skolem0002)|big_f(skolem0003),inference(resolution,status(thm),[c33, c6])).
% 0.50/0.67  cnf(c76,plain,big_g(skolem0002)|big_f(skolem0003),inference(resolution,status(thm),[c73, c12])).
% 0.50/0.67  fof(pel29_1,axiom,(?[X]:big_f(X)),input).
% 0.50/0.67  fof(c25,axiom,(?[X11]:big_f(X11)),inference(variable_rename,status(thm),[pel29_1])).
% 0.50/0.67  fof(c26,axiom,big_f(skolem0006),inference(skolemize,status(esa),[c25])).
% 0.50/0.67  cnf(c27,axiom,big_f(skolem0006),inference(split_conjunct,status(thm),[c26])).
% 0.50/0.67  cnf(c21,negated_conjecture,~big_g(X30)|big_j(X30)|~big_f(X32)|~big_g(X31)|big_j(X31),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c81,plain,big_f(skolem0003)|~big_g(X47)|big_j(X47)|~big_f(X48)|big_j(skolem0002),inference(resolution,status(thm),[c76, c21])).
% 0.50/0.67  cnf(c96,plain,big_f(skolem0003)|~big_g(X51)|big_j(X51)|big_j(skolem0002),inference(resolution,status(thm),[c81, c27])).
% 0.50/0.67  cnf(c101,plain,big_f(skolem0003)|big_j(skolem0002),inference(resolution,status(thm),[c96, c76])).
% 0.50/0.67  cnf(c110,plain,big_f(skolem0003)|~big_h(skolem0001),inference(resolution,status(thm),[c101, c15])).
% 0.50/0.67  cnf(c9,negated_conjecture,big_f(skolem0001)|~big_j(skolem0002)|big_f(skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c108,plain,big_f(skolem0003)|big_f(skolem0001),inference(resolution,status(thm),[c101, c9])).
% 0.50/0.67  cnf(c115,plain,big_f(skolem0003)|~big_f(X62)|big_h(X62)|big_h(skolem0001),inference(resolution,status(thm),[c108, c31])).
% 0.50/0.67  cnf(c150,plain,big_f(skolem0003)|big_h(skolem0001),inference(resolution,status(thm),[c115, c108])).
% 0.50/0.67  cnf(c156,plain,big_f(skolem0003),inference(resolution,status(thm),[c150, c110])).
% 0.50/0.67  cnf(c157,plain,~big_f(X64)|big_h(X64)|big_h(skolem0003),inference(resolution,status(thm),[c156, c31])).
% 0.50/0.67  cnf(c163,plain,big_h(skolem0003),inference(resolution,status(thm),[c157, c156])).
% 0.50/0.67  cnf(c17,negated_conjecture,~big_h(skolem0001)|~big_j(skolem0002)|~big_h(skolem0003)|~big_j(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c16,negated_conjecture,~big_h(skolem0001)|~big_j(skolem0002)|big_g(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c13,negated_conjecture,~big_h(skolem0001)|big_g(skolem0002)|big_g(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c7,negated_conjecture,big_f(skolem0001)|big_g(skolem0002)|big_g(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c34,plain,~big_f(X44)|big_h(X44)|big_h(skolem0001)|big_g(skolem0002)|big_g(skolem0004),inference(resolution,status(thm),[c31, c7])).
% 0.50/0.67  cnf(c89,plain,big_h(skolem0001)|big_g(skolem0002)|big_g(skolem0004),inference(resolution,status(thm),[c34, c7])).
% 0.50/0.67  cnf(c91,plain,big_g(skolem0002)|big_g(skolem0004),inference(resolution,status(thm),[c89, c13])).
% 0.50/0.67  cnf(c94,plain,big_g(skolem0004)|~big_g(X80)|big_j(X80)|~big_f(X81)|big_j(skolem0002),inference(resolution,status(thm),[c91, c21])).
% 0.50/0.67  cnf(c164,plain,big_g(skolem0004)|~big_g(X82)|big_j(X82)|big_j(skolem0002),inference(resolution,status(thm),[c94, c27])).
% 0.50/0.67  cnf(c168,plain,big_g(skolem0004)|big_j(skolem0002),inference(resolution,status(thm),[c164, c91])).
% 0.50/0.67  cnf(c171,plain,big_g(skolem0004)|~big_h(skolem0001),inference(resolution,status(thm),[c168, c16])).
% 0.50/0.67  cnf(c10,negated_conjecture,big_f(skolem0001)|~big_j(skolem0002)|big_g(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c170,plain,big_g(skolem0004)|big_f(skolem0001),inference(resolution,status(thm),[c168, c10])).
% 0.50/0.67  cnf(c173,plain,big_g(skolem0004)|~big_f(X85)|big_h(X85)|big_h(skolem0001),inference(resolution,status(thm),[c170, c31])).
% 0.50/0.67  cnf(c177,plain,big_g(skolem0004)|big_h(skolem0001),inference(resolution,status(thm),[c173, c170])).
% 0.50/0.67  cnf(c180,plain,big_g(skolem0004),inference(resolution,status(thm),[c177, c171])).
% 0.50/0.67  cnf(c181,plain,~big_g(X87)|big_j(X87)|~big_f(X88)|big_j(skolem0004),inference(resolution,status(thm),[c180, c21])).
% 0.50/0.67  cnf(c182,plain,~big_g(X91)|big_j(X91)|big_j(skolem0004),inference(resolution,status(thm),[c181, c27])).
% 0.50/0.67  cnf(c184,plain,big_j(skolem0004),inference(resolution,status(thm),[c182, c180])).
% 0.50/0.67  cnf(c188,plain,~big_h(skolem0001)|~big_j(skolem0002)|~big_h(skolem0003),inference(resolution,status(thm),[c184, c17])).
% 0.50/0.67  cnf(c192,plain,~big_h(skolem0001)|~big_j(skolem0002),inference(resolution,status(thm),[c188, c163])).
% 0.50/0.67  cnf(c14,negated_conjecture,~big_h(skolem0001)|big_g(skolem0002)|~big_h(skolem0003)|~big_j(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c186,plain,~big_h(skolem0001)|big_g(skolem0002)|~big_h(skolem0003),inference(resolution,status(thm),[c184, c14])).
% 0.50/0.67  cnf(c190,plain,~big_h(skolem0001)|big_g(skolem0002),inference(resolution,status(thm),[c186, c163])).
% 0.50/0.67  cnf(c8,negated_conjecture,big_f(skolem0001)|big_g(skolem0002)|~big_h(skolem0003)|~big_j(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c189,plain,big_f(skolem0001)|big_g(skolem0002)|~big_h(skolem0003),inference(resolution,status(thm),[c184, c8])).
% 0.50/0.67  cnf(c193,plain,big_f(skolem0001)|big_g(skolem0002),inference(resolution,status(thm),[c189, c163])).
% 0.50/0.67  cnf(c194,plain,big_g(skolem0002)|~big_f(X98)|big_h(X98)|big_h(skolem0001),inference(resolution,status(thm),[c193, c31])).
% 0.50/0.67  cnf(c199,plain,big_g(skolem0002)|big_h(skolem0001),inference(resolution,status(thm),[c194, c193])).
% 0.50/0.67  cnf(c201,plain,big_g(skolem0002),inference(resolution,status(thm),[c199, c190])).
% 0.50/0.67  cnf(c202,plain,~big_g(X100)|big_j(X100)|~big_f(X101)|big_j(skolem0002),inference(resolution,status(thm),[c201, c21])).
% 0.50/0.67  cnf(c203,plain,~big_g(X102)|big_j(X102)|big_j(skolem0002),inference(resolution,status(thm),[c202, c27])).
% 0.50/0.67  cnf(c206,plain,big_j(skolem0002),inference(resolution,status(thm),[c203, c201])).
% 0.50/0.67  cnf(c208,plain,~big_h(skolem0001),inference(resolution,status(thm),[c206, c192])).
% 0.50/0.67  cnf(c11,negated_conjecture,big_f(skolem0001)|~big_j(skolem0002)|~big_h(skolem0003)|~big_j(skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.50/0.67  cnf(c187,plain,big_f(skolem0001)|~big_j(skolem0002)|~big_h(skolem0003),inference(resolution,status(thm),[c184, c11])).
% 0.50/0.67  cnf(c191,plain,big_f(skolem0001)|~big_j(skolem0002),inference(resolution,status(thm),[c187, c163])).
% 0.50/0.67  cnf(c209,plain,big_f(skolem0001),inference(resolution,status(thm),[c206, c191])).
% 0.50/0.67  cnf(c210,plain,~big_f(X106)|big_h(X106)|big_h(skolem0001),inference(resolution,status(thm),[c209, c31])).
% 0.50/0.67  cnf(c213,plain,big_h(skolem0001),inference(resolution,status(thm),[c210, c209])).
% 0.50/0.67  cnf(c215,plain,$false,inference(resolution,status(thm),[c213, c208])).
% 0.50/0.67  # SZS output end CNFRefutation
% 0.50/0.67  
% 0.50/0.67  # Initial clauses    : 18
% 0.50/0.67  # Processed clauses  : 82
% 0.50/0.67  # Factors computed   : 0
% 0.50/0.67  # Resolvents computed: 188
% 0.50/0.67  # Tautologies deleted: 0
% 0.50/0.67  # Forward subsumed   : 83
% 0.50/0.67  # Backward subsumed  : 66
% 0.50/0.67  # -------- CPU Time ---------
% 0.50/0.67  # User time          : 0.314 s
% 0.50/0.67  # System time        : 0.016 s
% 0.50/0.67  # Total time         : 0.330 s
%------------------------------------------------------------------------------