TSTP Solution File: LCL066-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 : Sun Jul 17 13:51:47 EDT 2022

% Result   : Unsatisfiable 1.82s 1.99s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_3,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X4,X5))
    | ~ is_a_theorem(X4)
    | is_a_theorem(X5) ),
    input ).

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
    input ).

cnf(c8,plain,
    ( ~ is_a_theorem(implies(not(X28),not(X27)))
    | is_a_theorem(implies(X27,X28)) ),
    inference(resolution,status(thm),[cn_49,condensed_detachment]) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X15,implies(X16,X14)),implies(implies(X15,X16),implies(X15,X14)))),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X31,implies(X29,X30)))
    | is_a_theorem(implies(implies(X31,X29),implies(X31,X30))) ),
    inference(resolution,status(thm),[cn_35,condensed_detachment]) ).

cnf(cn_18,axiom,
    is_a_theorem(implies(X2,implies(X3,X2))),
    input ).

cnf(c11,plain,
    is_a_theorem(implies(implies(X33,X32),implies(X33,X33))),
    inference(resolution,status(thm),[c4,cn_18]) ).

cnf(c15,plain,
    ( ~ is_a_theorem(implies(X35,X34))
    | is_a_theorem(implies(X35,X35)) ),
    inference(resolution,status(thm),[c11,condensed_detachment]) ).

cnf(c19,plain,
    is_a_theorem(implies(X36,X36)),
    inference(resolution,status(thm),[c15,cn_18]) ).

cnf(c26,plain,
    is_a_theorem(implies(implies(implies(X154,X155),X154),implies(implies(X154,X155),X155))),
    inference(resolution,status(thm),[c19,c4]) ).

cnf(c118,plain,
    ( ~ is_a_theorem(implies(implies(X251,X252),X251))
    | is_a_theorem(implies(implies(X251,X252),X252)) ),
    inference(resolution,status(thm),[c26,condensed_detachment]) ).

cnf(c0,plain,
    ( ~ is_a_theorem(X7)
    | is_a_theorem(implies(X6,X7)) ),
    inference(resolution,status(thm),[condensed_detachment,cn_18]) ).

cnf(c9,plain,
    is_a_theorem(implies(X70,implies(implies(not(X72),not(X71)),implies(X71,X72)))),
    inference(resolution,status(thm),[cn_49,c0]) ).

cnf(c44,plain,
    is_a_theorem(implies(implies(X332,implies(not(X331),not(X330))),implies(X332,implies(X330,X331)))),
    inference(resolution,status(thm),[c9,c4]) ).

cnf(c1,plain,
    is_a_theorem(implies(X8,implies(X10,implies(X9,X10)))),
    inference(resolution,status(thm),[c0,cn_18]) ).

cnf(c178,plain,
    is_a_theorem(implies(implies(implies(X308,implies(X306,X308)),X307),X307)),
    inference(resolution,status(thm),[c118,c1]) ).

cnf(c240,plain,
    ( ~ is_a_theorem(implies(implies(X360,implies(X361,X360)),X362))
    | is_a_theorem(X362) ),
    inference(resolution,status(thm),[c178,condensed_detachment]) ).

cnf(c305,plain,
    is_a_theorem(implies(not(X377),implies(X377,X376))),
    inference(resolution,status(thm),[c240,c44]) ).

cnf(c331,plain,
    is_a_theorem(implies(X425,implies(not(X427),implies(X427,X426)))),
    inference(resolution,status(thm),[c305,c0]) ).

cnf(c345,plain,
    is_a_theorem(implies(implies(implies(not(X1005),implies(X1005,X1003)),X1004),X1004)),
    inference(resolution,status(thm),[c331,c118]) ).

cnf(c929,plain,
    ( ~ is_a_theorem(implies(implies(not(X1237),implies(X1237,X1236)),X1235))
    | is_a_theorem(X1235) ),
    inference(resolution,status(thm),[c345,condensed_detachment]) ).

cnf(c10,plain,
    is_a_theorem(implies(implies(implies(X90,implies(X88,X89)),implies(X90,X88)),implies(implies(X90,implies(X88,X89)),implies(X90,X89)))),
    inference(resolution,status(thm),[c4,cn_35]) ).

cnf(c27,plain,
    is_a_theorem(implies(X45,implies(X46,X46))),
    inference(resolution,status(thm),[c19,c0]) ).

cnf(c33,plain,
    is_a_theorem(implies(X58,implies(X59,implies(X60,X60)))),
    inference(resolution,status(thm),[c27,c0]) ).

cnf(c180,plain,
    is_a_theorem(implies(implies(implies(X311,implies(X313,X313)),X312),X312)),
    inference(resolution,status(thm),[c118,c33]) ).

cnf(c248,plain,
    ( ~ is_a_theorem(implies(implies(X445,implies(X446,X446)),X444))
    | is_a_theorem(X444) ),
    inference(resolution,status(thm),[c180,condensed_detachment]) ).

cnf(c365,plain,
    is_a_theorem(implies(implies(X610,implies(X610,X609)),implies(X610,X609))),
    inference(resolution,status(thm),[c248,c10]) ).

cnf(c514,plain,
    ( ~ is_a_theorem(implies(X693,implies(X693,X692)))
    | is_a_theorem(implies(X693,X692)) ),
    inference(resolution,status(thm),[c365,condensed_detachment]) ).

cnf(c1210,plain,
    is_a_theorem(implies(not(not(X1278)),implies(X1279,X1278))),
    inference(resolution,status(thm),[c929,c44]) ).

cnf(c1238,plain,
    is_a_theorem(implies(not(not(X1280)),X1280)),
    inference(resolution,status(thm),[c1210,c514]) ).

cnf(c1244,plain,
    is_a_theorem(implies(X1282,not(not(X1282)))),
    inference(resolution,status(thm),[c1238,c8]) ).

cnf(c1257,plain,
    is_a_theorem(implies(X1356,implies(X1357,not(not(X1357))))),
    inference(resolution,status(thm),[c1244,c0]) ).

cnf(c1459,plain,
    is_a_theorem(implies(implies(X1965,X1964),implies(X1965,not(not(X1964))))),
    inference(resolution,status(thm),[c1257,c4]) ).

cnf(c2771,plain,
    is_a_theorem(implies(not(X1998),not(not(implies(X1998,X1997))))),
    inference(resolution,status(thm),[c1459,c929]) ).

cnf(c2999,plain,
    is_a_theorem(implies(not(implies(X2004,X2005)),X2004)),
    inference(resolution,status(thm),[c2771,c8]) ).

cnf(c3034,plain,
    is_a_theorem(implies(X2008,implies(not(X2008),X2009))),
    inference(resolution,status(thm),[c2999,c8]) ).

cnf(c3052,plain,
    $false,
    inference(resolution,status(thm),[c3034,prove_cn_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  2 13:51:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.82/1.99  # Version:  1.3
% 1.82/1.99  # SZS status Unsatisfiable
% 1.82/1.99  # SZS output start CNFRefutation
% See solution above
% 1.82/1.99  
% 1.82/1.99  # Initial clauses    : 5
% 1.82/1.99  # Processed clauses  : 202
% 1.82/1.99  # Factors computed   : 0
% 1.82/1.99  # Resolvents computed: 3067
% 1.82/1.99  # Tautologies deleted: 1
% 1.82/1.99  # Forward subsumed   : 472
% 1.82/1.99  # Backward subsumed  : 2
% 1.82/1.99  # -------- CPU Time ---------
% 1.82/1.99  # User time          : 1.642 s
% 1.82/1.99  # System time        : 0.014 s
% 1.82/1.99  # Total time         : 1.656 s
%------------------------------------------------------------------------------