TSTP Solution File: LCL043-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 13:51:38 EDT 2022

% Result   : Unsatisfiable 5.20s 5.38s
% Output   : Refutation 5.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    input ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X4,implies(not(X4),X5))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X7))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X7) ),
    input ).

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

cnf(cn_54,axiom,
    is_a_theorem(implies(implies(X47,X48),implies(implies(not(X47),X48),X48))),
    input ).

cnf(c27,plain,
    ( ~ is_a_theorem(implies(X65,X64))
    | is_a_theorem(implies(implies(not(X65),X64),X64)) ),
    inference(resolution,status(thm),[cn_54,condensed_detachment]) ).

cnf(c51,plain,
    is_a_theorem(implies(implies(not(X624),implies(X625,X624)),implies(X625,X624))),
    inference(resolution,status(thm),[c27,cn_18]) ).

cnf(c820,plain,
    ( ~ is_a_theorem(implies(not(X3736),implies(X3737,X3736)))
    | is_a_theorem(implies(X3737,X3736)) ),
    inference(resolution,status(thm),[c51,condensed_detachment]) ).

cnf(c9190,plain,
    is_a_theorem(implies(not(not(X3758)),X3758)),
    inference(resolution,status(thm),[c820,cn_3]) ).

cnf(c9328,plain,
    $false,
    inference(resolution,status(thm),[c9190,prove_cn_39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n004.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 23:54:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 5.20/5.38  # Version:  1.3
% 5.20/5.38  # SZS status Unsatisfiable
% 5.20/5.38  # SZS output start CNFRefutation
% See solution above
% 5.20/5.38  
% 5.20/5.38  # Initial clauses    : 7
% 5.20/5.38  # Processed clauses  : 328
% 5.20/5.38  # Factors computed   : 0
% 5.20/5.38  # Resolvents computed: 9358
% 5.20/5.38  # Tautologies deleted: 1
% 5.20/5.38  # Forward subsumed   : 1100
% 5.20/5.38  # Backward subsumed  : 1
% 5.20/5.38  # -------- CPU Time ---------
% 5.20/5.38  # User time          : 5.012 s
% 5.20/5.38  # System time        : 0.027 s
% 5.20/5.38  # Total time         : 5.039 s
%------------------------------------------------------------------------------