TSTP Solution File: LCL110-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 13:52:07 EDT 2022

% Result   : Unsatisfiable 1.58s 1.79s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_mv_24,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    input ).

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

cnf(mv_2,axiom,
    is_a_theorem(implies(implies(X12,X13),implies(implies(X13,X11),implies(X12,X11)))),
    input ).

cnf(c5,plain,
    ( ~ is_a_theorem(implies(X31,X32))
    | is_a_theorem(implies(implies(X32,X33),implies(X31,X33))) ),
    inference(resolution,status(thm),[mv_2,condensed_detachment]) ).

cnf(mv_5,axiom,
    is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
    input ).

cnf(mv_1,axiom,
    is_a_theorem(implies(X2,implies(X3,X2))),
    input ).

cnf(c15,plain,
    is_a_theorem(implies(implies(implies(X35,X34),X36),implies(X34,X36))),
    inference(resolution,status(thm),[c5,mv_1]) ).

cnf(c20,plain,
    ( ~ is_a_theorem(implies(implies(X39,X38),X37))
    | is_a_theorem(implies(X38,X37)) ),
    inference(resolution,status(thm),[c15,condensed_detachment]) ).

cnf(c21,plain,
    is_a_theorem(implies(not(X43),implies(X43,X42))),
    inference(resolution,status(thm),[c20,mv_5]) ).

cnf(c29,plain,
    is_a_theorem(implies(implies(implies(X237,X239),X238),implies(not(X237),X238))),
    inference(resolution,status(thm),[c21,c5]) ).

cnf(c339,plain,
    ( ~ is_a_theorem(implies(implies(X893,X894),X895))
    | is_a_theorem(implies(not(X893),X895)) ),
    inference(resolution,status(thm),[c29,condensed_detachment]) ).

cnf(mv_3,axiom,
    is_a_theorem(implies(implies(implies(X29,X30),X30),implies(implies(X30,X29),X29))),
    input ).

cnf(c26,plain,
    is_a_theorem(implies(X56,implies(implies(X56,X57),X57))),
    inference(resolution,status(thm),[c20,mv_3]) ).

cnf(c42,plain,
    ( ~ is_a_theorem(X67)
    | is_a_theorem(implies(implies(X67,X66),X66)) ),
    inference(resolution,status(thm),[c26,condensed_detachment]) ).

cnf(c65,plain,
    is_a_theorem(implies(implies(implies(X108,implies(X109,X108)),X110),X110)),
    inference(resolution,status(thm),[c42,mv_1]) ).

cnf(c121,plain,
    is_a_theorem(implies(X111,X111)),
    inference(resolution,status(thm),[c65,c20]) ).

cnf(c131,plain,
    is_a_theorem(implies(implies(implies(X133,X133),X132),X132)),
    inference(resolution,status(thm),[c121,c42]) ).

cnf(c12,plain,
    is_a_theorem(implies(implies(implies(X128,X127),X129),implies(implies(not(X127),not(X128)),X129))),
    inference(resolution,status(thm),[c5,mv_5]) ).

cnf(c160,plain,
    ( ~ is_a_theorem(implies(implies(X1880,X1882),X1881))
    | is_a_theorem(implies(implies(not(X1882),not(X1880)),X1881)) ),
    inference(resolution,status(thm),[c12,condensed_detachment]) ).

cnf(c2095,plain,
    is_a_theorem(implies(implies(not(X1886),not(implies(X1887,X1887))),X1886)),
    inference(resolution,status(thm),[c160,c131]) ).

cnf(c2142,plain,
    is_a_theorem(implies(not(not(X1898)),X1898)),
    inference(resolution,status(thm),[c2095,c339]) ).

cnf(c2170,plain,
    $false,
    inference(resolution,status(thm),[c2142,prove_mv_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n007.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 : Sun Jul  3 18:11:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.58/1.79  # Version:  1.3
% 1.58/1.79  # SZS status Unsatisfiable
% 1.58/1.79  # SZS output start CNFRefutation
% See solution above
% 1.58/1.79  
% 1.58/1.79  # Initial clauses    : 6
% 1.58/1.79  # Processed clauses  : 171
% 1.58/1.79  # Factors computed   : 0
% 1.58/1.79  # Resolvents computed: 2173
% 1.58/1.79  # Tautologies deleted: 1
% 1.58/1.79  # Forward subsumed   : 467
% 1.58/1.79  # Backward subsumed  : 0
% 1.58/1.79  # -------- CPU Time ---------
% 1.58/1.79  # User time          : 1.415 s
% 1.58/1.79  # System time        : 0.009 s
% 1.58/1.79  # Total time         : 1.424 s
%------------------------------------------------------------------------------