TSTP Solution File: LCL397-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 13:54:12 EDT 2022

% Result   : Unsatisfiable 0.46s 0.62s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_63,negated_conjecture,
    ~ is_a_theorem(implies(x,implies(y,y))),
    input ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X5))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X5) ),
    input ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X23,X22))
    | is_a_theorem(implies(implies(X22,X21),implies(X23,X21))) ),
    inference(resolution,status(thm),[cn_1,condensed_detachment]) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X4,implies(not(X4),X3))),
    input ).

cnf(c12,plain,
    is_a_theorem(implies(implies(implies(not(X31),X29),X30),implies(X31,X30))),
    inference(resolution,status(thm),[c4,cn_3]) ).

cnf(c18,plain,
    ( ~ is_a_theorem(implies(implies(not(X35),X36),X34))
    | is_a_theorem(implies(X35,X34)) ),
    inference(resolution,status(thm),[c12,condensed_detachment]) ).

cnf(c0,plain,
    ( ~ is_a_theorem(X8)
    | is_a_theorem(implies(not(X8),X7)) ),
    inference(resolution,status(thm),[condensed_detachment,cn_3]) ).

cnf(c26,plain,
    is_a_theorem(implies(X41,X41)),
    inference(resolution,status(thm),[c18,cn_2]) ).

cnf(c34,plain,
    is_a_theorem(implies(not(implies(X45,X45)),X46)),
    inference(resolution,status(thm),[c26,c0]) ).

cnf(c35,plain,
    is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
    inference(resolution,status(thm),[c34,c4]) ).

cnf(c119,plain,
    is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
    inference(resolution,status(thm),[c35,c18]) ).

cnf(c126,plain,
    is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X216),X215),implies(X217,X215))),
    inference(resolution,status(thm),[c119,c4]) ).

cnf(c251,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X222),X221))
    | is_a_theorem(implies(X220,X221)) ),
    inference(resolution,status(thm),[c126,condensed_detachment]) ).

cnf(c264,plain,
    is_a_theorem(implies(X223,implies(X224,X224))),
    inference(resolution,status(thm),[c251,cn_2]) ).

cnf(c280,plain,
    $false,
    inference(resolution,status(thm),[c264,prove_cn_63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n029.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 : Mon Jul  4 01:56:56 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.46/0.62  # Version:  1.3
% 0.46/0.62  # SZS status Unsatisfiable
% 0.46/0.62  # SZS output start CNFRefutation
% See solution above
% 0.46/0.62  
% 0.46/0.62  # Initial clauses    : 5
% 0.46/0.62  # Processed clauses  : 50
% 0.46/0.62  # Factors computed   : 0
% 0.46/0.62  # Resolvents computed: 282
% 0.46/0.62  # Tautologies deleted: 1
% 0.46/0.62  # Forward subsumed   : 33
% 0.46/0.62  # Backward subsumed  : 3
% 0.46/0.62  # -------- CPU Time ---------
% 0.46/0.62  # User time          : 0.267 s
% 0.46/0.62  # System time        : 0.012 s
% 0.46/0.62  # Total time         : 0.279 s
%------------------------------------------------------------------------------