TSTP Solution File: LCL211-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 13:52:56 EDT 2022

% Result   : Unsatisfiable 134.29s 134.82s
% Output   : Refutation 134.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

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

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

cnf(c4,plain,
    ( X16 != X17
    | ~ theorem(X16)
    | theorem(X17) ),
    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(X44),X45) = implies(X44,X45),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(c27,plain,
    ( ~ theorem(or(not(X98),X99))
    | theorem(implies(X98,X99)) ),
    inference(resolution,status(thm),[c11,c4]) ).

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(X40,X39),or(X39,X40))),
    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_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(c12,plain,
    ( ~ theorem(implies(X75,X76))
    | theorem(or(not(X75),X76)) ),
    inference(resolution,status(thm),[implies_definition,c4]) ).

cnf(c48,plain,
    theorem(or(not(X82),or(X83,X82))),
    inference(resolution,status(thm),[c12,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(X102,or(X101,X100)),or(X101,or(X102,X100)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c72,plain,
    ( theorem(or(X363,or(X361,X362)))
    | ~ theorem(or(X361,or(X363,X362))) ),
    inference(resolution,status(thm),[c18,rule_2]) ).

cnf(c320,plain,
    theorem(or(X364,or(not(X365),X365))),
    inference(resolution,status(thm),[c72,c48]) ).

cnf(c336,plain,
    theorem(or(not(X366),X366)),
    inference(resolution,status(thm),[c320,c14]) ).

cnf(c342,plain,
    theorem(or(X369,not(X369))),
    inference(resolution,status(thm),[c336,c23]) ).

cnf(c349,plain,
    theorem(implies(X391,not(not(X391)))),
    inference(resolution,status(thm),[c342,c27]) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X43,X41),implies(or(X42,X43),or(X42,X41)))),
    input ).

cnf(c25,plain,
    theorem(implies(implies(X154,X155),implies(or(X153,X154),or(X153,X155)))),
    inference(resolution,status(thm),[axiom_1_6,rule_1]) ).

cnf(c115,plain,
    ( theorem(implies(or(X620,X619),or(X620,X618)))
    | ~ theorem(implies(X619,X618)) ),
    inference(resolution,status(thm),[c25,rule_2]) ).

cnf(c911,plain,
    theorem(implies(or(X2564,X2565),or(X2564,not(not(X2565))))),
    inference(resolution,status(thm),[c115,c349]) ).

cnf(c3256,plain,
    ( theorem(or(X2875,not(not(X2874))))
    | ~ theorem(or(X2875,X2874)) ),
    inference(resolution,status(thm),[c911,rule_2]) ).

cnf(c46,plain,
    theorem(or(not(or(X134,X133)),or(X133,X134))),
    inference(resolution,status(thm),[c12,c10]) ).

cnf(c323,plain,
    theorem(or(X671,or(not(or(X672,X671)),X672))),
    inference(resolution,status(thm),[c72,c46]) ).

cnf(c976,plain,
    theorem(or(or(not(or(X820,X821)),X820),X821)),
    inference(resolution,status(thm),[c323,c23]) ).

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

cnf(c1,plain,
    ( X80 != X81
    | X78 != X79
    | or(X80,X78) = or(X81,X79) ),
    eq_axiom ).

cnf(c52,plain,
    ( X147 != X145
    | or(X147,X146) = or(X145,X146) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c109,plain,
    or(or(not(X578),X579),X580) = or(implies(X578,X579),X580),
    inference(resolution,status(thm),[c52,c11]) ).

cnf(c811,plain,
    ( ~ theorem(or(or(not(X7431),X7432),X7433))
    | theorem(or(implies(X7431,X7432),X7433)) ),
    inference(resolution,status(thm),[c109,c4]) ).

cnf(c17118,plain,
    theorem(or(implies(or(X7601,X7602),X7601),X7602)),
    inference(resolution,status(thm),[c811,c976]) ).

cnf(c18364,plain,
    theorem(or(implies(or(X14480,X14481),X14480),not(not(X14481)))),
    inference(resolution,status(thm),[c17118,c3256]) ).

cnf(c98,plain,
    theorem(or(or(X186,X187),not(or(X187,X186)))),
    inference(resolution,status(thm),[c46,c23]) ).

cnf(c17085,plain,
    theorem(or(implies(X14259,X14258),not(or(X14258,not(X14259))))),
    inference(resolution,status(thm),[c811,c98]) ).

cnf(c43005,plain,
    theorem(or(not(or(X17283,not(X17284))),implies(X17284,X17283))),
    inference(resolution,status(thm),[c17085,c23]) ).

cnf(c50049,plain,
    theorem(implies(or(X17286,not(X17287)),implies(X17287,X17286))),
    inference(resolution,status(thm),[c43005,c27]) ).

cnf(c50077,plain,
    ( theorem(implies(X17298,X17297))
    | ~ theorem(or(X17297,not(X17298))) ),
    inference(resolution,status(thm),[c50049,rule_2]) ).

cnf(c50418,plain,
    theorem(implies(not(X17565),implies(or(X17566,X17565),X17566))),
    inference(resolution,status(thm),[c50077,c18364]) ).

cnf(c50956,plain,
    $false,
    inference(resolution,status(thm),[c50418,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.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 : Sat Jul  2 15:08:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 134.29/134.82  # Version:  1.3
% 134.29/134.82  # SZS status Unsatisfiable
% 134.29/134.82  # SZS output start CNFRefutation
% See solution above
% 134.29/134.82  
% 134.29/134.82  # Initial clauses    : 17
% 134.29/134.82  # Processed clauses  : 1627
% 134.29/134.82  # Factors computed   : 0
% 134.29/134.82  # Resolvents computed: 50967
% 134.29/134.82  # Tautologies deleted: 4
% 134.29/134.82  # Forward subsumed   : 4991
% 134.29/134.82  # Backward subsumed  : 7
% 134.29/134.82  # -------- CPU Time ---------
% 134.29/134.82  # User time          : 134.027 s
% 134.29/134.82  # System time        : 0.108 s
% 134.29/134.82  # Total time         : 134.135 s
%------------------------------------------------------------------------------