TSTP Solution File: LCL027-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:51:32 EDT 2022

% Result   : Unsatisfiable 0.51s 0.75s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c0_4,negated_conjecture,
    ~ is_a_theorem(implies(falsehood,a)),
    input ).

cnf(c0_2,axiom,
    is_a_theorem(implies(X3,implies(X2,X3))),
    input ).

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

cnf(c0,plain,
    ( ~ is_a_theorem(X7)
    | is_a_theorem(implies(X6,X7)) ),
    inference(resolution,status(thm),[condensed_detachment,c0_2]) ).

cnf(c0_5,axiom,
    is_a_theorem(implies(implies(implies(X11,falsehood),falsehood),X11)),
    input ).

cnf(c5,plain,
    is_a_theorem(implies(X33,implies(implies(implies(X34,falsehood),falsehood),X34))),
    inference(resolution,status(thm),[c0_5,c0]) ).

cnf(c0_6,axiom,
    is_a_theorem(implies(implies(X18,implies(X17,X19)),implies(implies(X18,X17),implies(X18,X19)))),
    input ).

cnf(c11,plain,
    ( ~ is_a_theorem(implies(X54,implies(X53,X55)))
    | is_a_theorem(implies(implies(X54,X53),implies(X54,X55))) ),
    inference(resolution,status(thm),[c0_6,condensed_detachment]) ).

cnf(c29,plain,
    is_a_theorem(implies(implies(X197,implies(implies(X196,falsehood),falsehood)),implies(X197,X196))),
    inference(resolution,status(thm),[c11,c5]) ).

cnf(c1,plain,
    is_a_theorem(implies(X8,implies(X10,implies(X9,X10)))),
    inference(resolution,status(thm),[c0,c0_2]) ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(implies(X15,falsehood),falsehood))
    | is_a_theorem(X15) ),
    inference(resolution,status(thm),[c0_5,condensed_detachment]) ).

cnf(c6,plain,
    is_a_theorem(implies(falsehood,falsehood)),
    inference(resolution,status(thm),[c4,c0_5]) ).

cnf(c8,plain,
    is_a_theorem(implies(X16,implies(falsehood,falsehood))),
    inference(resolution,status(thm),[c6,c0]) ).

cnf(c10,plain,
    is_a_theorem(implies(X21,implies(X22,implies(falsehood,falsehood)))),
    inference(resolution,status(thm),[c8,c0]) ).

cnf(c14,plain,
    is_a_theorem(implies(X35,implies(X36,implies(X37,implies(falsehood,falsehood))))),
    inference(resolution,status(thm),[c10,c0]) ).

cnf(c28,plain,
    is_a_theorem(implies(implies(X57,X56),implies(X57,X57))),
    inference(resolution,status(thm),[c11,c0_2]) ).

cnf(c35,plain,
    ( ~ is_a_theorem(implies(X59,X58))
    | is_a_theorem(implies(X59,X59)) ),
    inference(resolution,status(thm),[c28,condensed_detachment]) ).

cnf(c36,plain,
    is_a_theorem(implies(X60,X60)),
    inference(resolution,status(thm),[c35,c14]) ).

cnf(c48,plain,
    is_a_theorem(implies(implies(implies(X199,X198),X199),implies(implies(X199,X198),X198))),
    inference(resolution,status(thm),[c36,c11]) ).

cnf(c163,plain,
    ( ~ is_a_theorem(implies(implies(X289,X288),X289))
    | is_a_theorem(implies(implies(X289,X288),X288)) ),
    inference(resolution,status(thm),[c48,condensed_detachment]) ).

cnf(c220,plain,
    is_a_theorem(implies(implies(implies(X360,implies(X359,X360)),X358),X358)),
    inference(resolution,status(thm),[c163,c1]) ).

cnf(c304,plain,
    ( ~ is_a_theorem(implies(implies(X471,implies(X473,X471)),X472))
    | is_a_theorem(X472) ),
    inference(resolution,status(thm),[c220,condensed_detachment]) ).

cnf(c415,plain,
    is_a_theorem(implies(falsehood,X475)),
    inference(resolution,status(thm),[c304,c29]) ).

cnf(c421,plain,
    $false,
    inference(resolution,status(thm),[c415,prove_c0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n013.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 : Mon Jul  4 21:09:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.51/0.75  # Version:  1.3
% 0.51/0.75  # SZS status Unsatisfiable
% 0.51/0.75  # SZS output start CNFRefutation
% See solution above
% 0.51/0.75  
% 0.51/0.75  # Initial clauses    : 5
% 0.51/0.75  # Processed clauses  : 62
% 0.51/0.75  # Factors computed   : 0
% 0.51/0.75  # Resolvents computed: 426
% 0.51/0.75  # Tautologies deleted: 2
% 0.51/0.75  # Forward subsumed   : 107
% 0.51/0.75  # Backward subsumed  : 7
% 0.51/0.75  # -------- CPU Time ---------
% 0.51/0.75  # User time          : 0.370 s
% 0.51/0.75  # System time        : 0.016 s
% 0.51/0.75  # Total time         : 0.386 s
%------------------------------------------------------------------------------