TSTP Solution File: LCL076-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL076-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 13:51:51 EDT 2022

% Result   : Unsatisfiable 0.40s 0.58s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_40,negated_conjecture,
    ~ is_a_theorem(implies(a,not(not(a)))),
    input ).

cnf(extra_lemma,axiom,
    is_a_theorem(implies(not(not(X4)),X4)),
    input ).

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

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X23),not(X24)),implies(X24,X23))),
    input ).

cnf(c10,plain,
    ( ~ is_a_theorem(implies(not(X37),not(X36)))
    | is_a_theorem(implies(X36,X37)) ),
    inference(resolution,status(thm),[cn_49,condensed_detachment]) ).

cnf(c16,plain,
    is_a_theorem(implies(X38,not(not(X38)))),
    inference(resolution,status(thm),[c10,extra_lemma]) ).

cnf(c17,plain,
    $false,
    inference(resolution,status(thm),[c16,prove_cn_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL076-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 06:28:16 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.40/0.58  # Version:  1.3
% 0.40/0.58  # SZS status Unsatisfiable
% 0.40/0.58  # SZS output start CNFRefutation
% See solution above
% 0.40/0.58  
% 0.40/0.58  # Initial clauses    : 6
% 0.40/0.58  # Processed clauses  : 15
% 0.40/0.58  # Factors computed   : 0
% 0.40/0.58  # Resolvents computed: 29
% 0.40/0.58  # Tautologies deleted: 0
% 0.40/0.58  # Forward subsumed   : 3
% 0.40/0.58  # Backward subsumed  : 0
% 0.40/0.58  # -------- CPU Time ---------
% 0.40/0.58  # User time          : 0.206 s
% 0.40/0.58  # System time        : 0.016 s
% 0.40/0.58  # Total time         : 0.222 s
%------------------------------------------------------------------------------