TSTP Solution File: LCL065-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 3.37s 3.58s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_2,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),a),a)),
    input ).

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

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

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

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

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

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

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

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

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(c181,plain,
    is_a_theorem(implies(implies(implies(X306,implies(X307,X307)),X308),X308)),
    inference(resolution,status(thm),[c118,c33]) ).

cnf(c239,plain,
    ( ~ is_a_theorem(implies(implies(X361,implies(X362,X362)),X360))
    | is_a_theorem(X360) ),
    inference(resolution,status(thm),[c181,condensed_detachment]) ).

cnf(c293,plain,
    is_a_theorem(implies(implies(X556,implies(X556,X557)),implies(X556,X557))),
    inference(resolution,status(thm),[c239,c10]) ).

cnf(c490,plain,
    ( ~ is_a_theorem(implies(X693,implies(X693,X692)))
    | is_a_theorem(implies(X693,X692)) ),
    inference(resolution,status(thm),[c293,condensed_detachment]) ).

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

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

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

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

cnf(c184,plain,
    is_a_theorem(implies(implies(implies(X312,implies(X311,X312)),X313),X313)),
    inference(resolution,status(thm),[c118,c1]) ).

cnf(c247,plain,
    ( ~ is_a_theorem(implies(implies(X417,implies(X418,X417)),X416))
    | is_a_theorem(X416) ),
    inference(resolution,status(thm),[c184,condensed_detachment]) ).

cnf(c338,plain,
    is_a_theorem(implies(not(X435),implies(X435,X434))),
    inference(resolution,status(thm),[c247,c44]) ).

cnf(c374,plain,
    is_a_theorem(implies(implies(not(X776),X776),implies(not(X776),X777))),
    inference(resolution,status(thm),[c338,c4]) ).

cnf(c271,plain,
    ( ~ is_a_theorem(implies(X3047,implies(not(X3045),not(X3046))))
    | is_a_theorem(implies(X3047,implies(X3046,X3045))) ),
    inference(resolution,status(thm),[c44,condensed_detachment]) ).

cnf(c5754,plain,
    is_a_theorem(implies(implies(not(X3102),X3102),implies(X3101,X3102))),
    inference(resolution,status(thm),[c271,c374]) ).

cnf(c5851,plain,
    is_a_theorem(implies(implies(not(X3105),X3105),X3105)),
    inference(resolution,status(thm),[c5754,c490]) ).

cnf(c5875,plain,
    $false,
    inference(resolution,status(thm),[c5851,prove_cn_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.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 : Mon Jul  4 00:23:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.37/3.58  # Version:  1.3
% 3.37/3.58  # SZS status Unsatisfiable
% 3.37/3.58  # SZS output start CNFRefutation
% See solution above
% 3.37/3.58  
% 3.37/3.58  # Initial clauses    : 5
% 3.37/3.58  # Processed clauses  : 276
% 3.37/3.58  # Factors computed   : 0
% 3.37/3.58  # Resolvents computed: 5890
% 3.37/3.58  # Tautologies deleted: 1
% 3.37/3.58  # Forward subsumed   : 801
% 3.37/3.58  # Backward subsumed  : 2
% 3.37/3.58  # -------- CPU Time ---------
% 3.37/3.58  # User time          : 3.222 s
% 3.37/3.58  # System time        : 0.022 s
% 3.37/3.58  # Total time         : 3.244 s
%------------------------------------------------------------------------------