TSTP Solution File: LCL258-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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 13:53:27 EDT 2022

% Result   : Unsatisfiable 22.27s 22.49s
% Output   : Refutation 22.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

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

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

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

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

cnf(c12,plain,
    or(not(X45),X44) = implies(X45,X44),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(c28,plain,
    ( ~ theorem(or(not(X99),X98))
    | theorem(implies(X99,X98)) ),
    inference(resolution,status(thm),[c12,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(X18,X19),or(X19,X18))),
    input ).

cnf(c10,plain,
    theorem(implies(or(X39,X40),or(X40,X39))),
    inference(resolution,status(thm),[axiom_1_4,rule_1]) ).

cnf(c23,plain,
    ( theorem(or(X54,X55))
    | ~ theorem(or(X55,X54)) ),
    inference(resolution,status(thm),[c10,rule_2]) ).

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

cnf(c18,plain,
    theorem(implies(or(X101,or(X100,X102)),or(X100,or(X101,X102)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c73,plain,
    ( theorem(or(X379,or(X378,X380)))
    | ~ theorem(or(X378,or(X379,X380))) ),
    inference(resolution,status(thm),[c18,rule_2]) ).

cnf(c11,plain,
    ( ~ theorem(implies(X76,X75))
    | theorem(or(not(X76),X75)) ),
    inference(resolution,status(thm),[implies_definition,c4]) ).

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(X8,or(X9,X8))),
    input ).

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

cnf(c46,plain,
    theorem(or(not(X78),or(X77,X78))),
    inference(resolution,status(thm),[c11,c7]) ).

cnf(c320,plain,
    theorem(or(X381,or(not(X382),X382))),
    inference(resolution,status(thm),[c73,c46]) ).

cnf(c341,plain,
    theorem(or(not(X383),X383)),
    inference(resolution,status(thm),[c320,c14]) ).

cnf(c346,plain,
    theorem(implies(X384,X384)),
    inference(resolution,status(thm),[c341,c28]) ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c0,plain,
    ( X65 != X64
    | X66 != X67
    | implies(X65,X66) = implies(X64,X67) ),
    eq_axiom ).

cnf(c44,plain,
    ( X130 != X128
    | implies(X130,X129) = implies(X128,X129) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c95,plain,
    implies(or(not(X515),X514),X516) = implies(implies(X515,X514),X516),
    inference(resolution,status(thm),[c44,c12]) ).

cnf(c608,plain,
    ( ~ theorem(implies(or(not(X5198),X5197),X5196))
    | theorem(implies(implies(X5198,X5197),X5196)) ),
    inference(resolution,status(thm),[c95,c4]) ).

cnf(c10157,plain,
    theorem(implies(implies(X5580,X5581),or(not(X5580),X5581))),
    inference(resolution,status(thm),[c608,c346]) ).

cnf(c10732,plain,
    theorem(or(not(implies(X6544,X6543)),or(not(X6544),X6543))),
    inference(resolution,status(thm),[c10157,c11]) ).

cnf(c14117,plain,
    theorem(or(not(X7095),or(not(implies(X7095,X7096)),X7096))),
    inference(resolution,status(thm),[c10732,c73]) ).

cnf(c15187,plain,
    theorem(or(or(not(implies(X7311,X7310)),X7310),not(X7311))),
    inference(resolution,status(thm),[c14117,c23]) ).

cnf(c1,plain,
    ( X80 != X79
    | X81 != X82
    | or(X80,X81) = or(X79,X82) ),
    eq_axiom ).

cnf(c52,plain,
    ( X148 != X149
    | or(X148,X147) = or(X149,X147) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c110,plain,
    or(or(not(X598),X596),X597) = or(implies(X598,X596),X597),
    inference(resolution,status(thm),[c52,c12]) ).

cnf(c836,plain,
    ( ~ theorem(or(or(not(X7786),X7785),X7787))
    | theorem(or(implies(X7786,X7785),X7787)) ),
    inference(resolution,status(thm),[c110,c4]) ).

cnf(c18325,plain,
    theorem(or(implies(implies(X8087,X8088),X8088),not(X8087))),
    inference(resolution,status(thm),[c836,c15187]) ).

cnf(c20743,plain,
    theorem(or(not(X8533),implies(implies(X8533,X8532),X8532))),
    inference(resolution,status(thm),[c18325,c23]) ).

cnf(c22976,plain,
    theorem(implies(X8537,implies(implies(X8537,X8536),X8536))),
    inference(resolution,status(thm),[c20743,c28]) ).

cnf(c23006,plain,
    $false,
    inference(resolution,status(thm),[c22976,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n009.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 08:16:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 22.27/22.49  # Version:  1.3
% 22.27/22.49  # SZS status Unsatisfiable
% 22.27/22.49  # SZS output start CNFRefutation
% See solution above
% 22.27/22.49  
% 22.27/22.49  # Initial clauses    : 17
% 22.27/22.49  # Processed clauses  : 1004
% 22.27/22.49  # Factors computed   : 0
% 22.27/22.49  # Resolvents computed: 23005
% 22.27/22.49  # Tautologies deleted: 4
% 22.27/22.49  # Forward subsumed   : 2356
% 22.27/22.49  # Backward subsumed  : 1
% 22.27/22.49  # -------- CPU Time ---------
% 22.27/22.49  # User time          : 22.107 s
% 22.27/22.49  # System time        : 0.044 s
% 22.27/22.49  # Total time         : 22.151 s
%------------------------------------------------------------------------------