TSTP Solution File: LCL178-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL178-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 13:52:34 EDT 2022

% Result   : Unsatisfiable 0.46s 0.71s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(implies(p,not(not(p)))),
    input ).

cnf(c4,plain,
    ( X16 != X17
    | ~ theorem(X16)
    | theorem(X17) ),
    eq_axiom ).

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

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

cnf(c13,plain,
    or(not(X45),X44) = implies(X45,X44),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(c29,plain,
    ( ~ theorem(or(not(X112),X111))
    | theorem(implies(X112,X111)) ),
    inference(resolution,status(thm),[c13,c4]) ).

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

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

cnf(axiom_1_4,axiom,
    axiom(implies(or(X19,X18),or(X18,X19))),
    input ).

cnf(c10,plain,
    theorem(implies(or(X42,X43),or(X43,X42))),
    inference(resolution,status(thm),[axiom_1_4,rule_1]) ).

cnf(c24,plain,
    ( theorem(or(X59,X58))
    | ~ theorem(or(X58,X59)) ),
    inference(resolution,status(thm),[c10,rule_2]) ).

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

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

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

cnf(c11,plain,
    ( ~ theorem(implies(X80,X79))
    | theorem(or(not(X80),X79)) ),
    inference(resolution,status(thm),[implies_definition,c4]) ).

cnf(c51,plain,
    theorem(or(not(X84),or(X85,X84))),
    inference(resolution,status(thm),[c11,c7]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X30,or(X28,X29)),or(X28,or(X30,X29)))),
    input ).

cnf(c18,plain,
    theorem(implies(or(X91,or(X92,X90)),or(X92,or(X91,X90)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c67,plain,
    ( theorem(or(X362,or(X364,X363)))
    | ~ theorem(or(X364,or(X362,X363))) ),
    inference(resolution,status(thm),[c18,rule_2]) ).

cnf(c310,plain,
    theorem(or(X366,or(not(X365),X365))),
    inference(resolution,status(thm),[c67,c51]) ).

cnf(c334,plain,
    theorem(or(not(X367),X367)),
    inference(resolution,status(thm),[c310,c14]) ).

cnf(c342,plain,
    theorem(or(X370,not(X370))),
    inference(resolution,status(thm),[c334,c24]) ).

cnf(c349,plain,
    theorem(implies(X389,not(not(X389)))),
    inference(resolution,status(thm),[c342,c29]) ).

cnf(c369,plain,
    $false,
    inference(resolution,status(thm),[c349,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL178-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.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 13:02:22 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.46/0.71  # Version:  1.3
% 0.46/0.71  # SZS status Unsatisfiable
% 0.46/0.71  # SZS output start CNFRefutation
% See solution above
% 0.46/0.71  
% 0.46/0.71  # Initial clauses    : 17
% 0.46/0.71  # Processed clauses  : 103
% 0.46/0.71  # Factors computed   : 0
% 0.46/0.71  # Resolvents computed: 380
% 0.46/0.71  # Tautologies deleted: 4
% 0.46/0.71  # Forward subsumed   : 67
% 0.46/0.71  # Backward subsumed  : 0
% 0.46/0.71  # -------- CPU Time ---------
% 0.46/0.71  # User time          : 0.335 s
% 0.46/0.71  # System time        : 0.010 s
% 0.46/0.71  # Total time         : 0.345 s
%------------------------------------------------------------------------------