TSTP Solution File: LCL176-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 13:52:33 EDT 2022

% Result   : Unsatisfiable 0.36s 0.60s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(implies(p,p)),
    input ).

cnf(c4,plain,
    ( X18 != X19
    | ~ theorem(X18)
    | theorem(X19) ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X4 != X5
    | X5 = X4 ),
    eq_axiom ).

cnf(implies_definition,axiom,
    implies(X21,X22) = or(not(X21),X22),
    input ).

cnf(c11,plain,
    or(not(X45),X44) = implies(X45,X44),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(c29,plain,
    ( ~ theorem(or(not(X107),X106))
    | theorem(implies(X107,X106)) ),
    inference(resolution,status(thm),[c11,c4]) ).

cnf(rule_1,axiom,
    ( theorem(X3)
    | ~ axiom(X3) ),
    input ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X7,X7),X7)),
    input ).

cnf(c6,plain,
    theorem(implies(or(X10,X10),X10)),
    inference(resolution,status(thm),[axiom_1_2,rule_1]) ).

cnf(rule_2,axiom,
    ( theorem(X23)
    | ~ theorem(implies(X24,X23))
    | ~ theorem(X24) ),
    input ).

cnf(c14,plain,
    ( theorem(X25)
    | ~ theorem(or(X25,X25)) ),
    inference(resolution,status(thm),[rule_2,c6]) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X8,or(X9,X8))),
    input ).

cnf(c7,plain,
    theorem(implies(X11,or(X12,X11))),
    inference(resolution,status(thm),[axiom_1_3,rule_1]) ).

cnf(c12,plain,
    ( ~ theorem(implies(X80,X79))
    | theorem(or(not(X80),X79)) ),
    inference(resolution,status(thm),[implies_definition,c4]) ).

cnf(c50,plain,
    theorem(or(not(X84),or(X83,X84))),
    inference(resolution,status(thm),[c12,c7]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X26,or(X28,X27)),or(X28,or(X26,X27)))),
    input ).

cnf(c16,plain,
    theorem(implies(or(X91,or(X93,X92)),or(X93,or(X91,X92)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c66,plain,
    ( theorem(or(X347,or(X345,X346)))
    | ~ theorem(or(X345,or(X347,X346))) ),
    inference(resolution,status(thm),[c16,rule_2]) ).

cnf(c264,plain,
    theorem(or(X349,or(not(X348),X348))),
    inference(resolution,status(thm),[c66,c50]) ).

cnf(c275,plain,
    theorem(or(not(X350),X350)),
    inference(resolution,status(thm),[c264,c14]) ).

cnf(c278,plain,
    theorem(implies(X351,X351)),
    inference(resolution,status(thm),[c275,c29]) ).

cnf(c284,plain,
    $false,
    inference(resolution,status(thm),[c278,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n023.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 05:17:12 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.36/0.60  # Version:  1.3
% 0.36/0.60  # SZS status Unsatisfiable
% 0.36/0.60  # SZS output start CNFRefutation
% See solution above
% 0.36/0.60  
% 0.36/0.60  # Initial clauses    : 17
% 0.36/0.60  # Processed clauses  : 92
% 0.36/0.60  # Factors computed   : 0
% 0.36/0.60  # Resolvents computed: 280
% 0.36/0.60  # Tautologies deleted: 3
% 0.36/0.60  # Forward subsumed   : 58
% 0.36/0.60  # Backward subsumed  : 0
% 0.36/0.60  # -------- CPU Time ---------
% 0.36/0.60  # User time          : 0.200 s
% 0.36/0.60  # System time        : 0.009 s
% 0.36/0.60  # Total time         : 0.209 s
%------------------------------------------------------------------------------