TSTP Solution File: LCL239-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL239-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 13:53:16 EDT 2022

% Result   : Unsatisfiable 175.58s 175.81s
% Output   : Refutation 175.58s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

cnf(c4,plain,
    ( X14 != X13
    | ~ axiom(X14)
    | axiom(X13) ),
    eq_axiom ).

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

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

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

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

cnf(c0,plain,
    ( X68 != X65
    | X67 != X66
    | implies(X68,X67) = implies(X65,X66) ),
    eq_axiom ).

cnf(c49,plain,
    ( X134 != X135
    | implies(X134,X136) = implies(X135,X136) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c108,plain,
    implies(or(not(X676),X678),X677) = implies(implies(X676,X678),X677),
    inference(resolution,status(thm),[c49,c13]) ).

cnf(c833,plain,
    ( ~ axiom(implies(or(not(X8243),X8245),X8244))
    | axiom(implies(implies(X8243,X8245),X8244)) ),
    inference(resolution,status(thm),[c108,c4]) ).

cnf(c20984,plain,
    axiom(implies(implies(X8246,not(X8246)),not(X8246))),
    inference(resolution,status(thm),[c833,axiom_1_2]) ).

cnf(c20990,plain,
    theorem(implies(implies(X8247,not(X8247)),not(X8247))),
    inference(resolution,status(thm),[c20984,rule_1]) ).

cnf(c20991,plain,
    ( theorem(not(X8248))
    | ~ theorem(implies(X8248,not(X8248))) ),
    inference(resolution,status(thm),[c20990,rule_2]) ).

cnf(c5,plain,
    ( X17 != X16
    | ~ theorem(X17)
    | theorem(X16) ),
    eq_axiom ).

cnf(c27,plain,
    ( ~ theorem(or(not(X107),X108))
    | theorem(implies(X107,X108)) ),
    inference(resolution,status(thm),[c13,c5]) ).

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

cnf(c11,plain,
    theorem(implies(or(X42,X43),or(X43,X42))),
    inference(resolution,status(thm),[axiom_1_4,rule_1]) ).

cnf(c25,plain,
    ( theorem(or(X56,X57))
    | ~ theorem(or(X57,X56)) ),
    inference(resolution,status(thm),[c11,rule_2]) ).

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

cnf(c8,plain,
    theorem(implies(X11,or(X12,X11))),
    inference(resolution,status(thm),[axiom_1_3,rule_1]) ).

cnf(c16,plain,
    ( theorem(or(X26,X27))
    | ~ theorem(X27) ),
    inference(resolution,status(thm),[rule_2,c8]) ).

cnf(c7,plain,
    theorem(implies(or(X10,X10),X10)),
    inference(resolution,status(thm),[axiom_1_2,rule_1]) ).

cnf(c15,plain,
    ( theorem(X25)
    | ~ theorem(or(X25,X25)) ),
    inference(resolution,status(thm),[rule_2,c7]) ).

cnf(c12,plain,
    ( ~ theorem(implies(X77,X78))
    | theorem(or(not(X77),X78)) ),
    inference(resolution,status(thm),[implies_definition,c5]) ).

cnf(c55,plain,
    theorem(or(not(X85),or(X84,X85))),
    inference(resolution,status(thm),[c12,c8]) ).

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

cnf(c19,plain,
    theorem(implies(or(X102,or(X103,X104)),or(X103,or(X102,X104)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c81,plain,
    ( theorem(or(X540,or(X539,X541)))
    | ~ theorem(or(X539,or(X540,X541))) ),
    inference(resolution,status(thm),[c19,rule_2]) ).

cnf(c480,plain,
    theorem(or(X542,or(not(X543),X543))),
    inference(resolution,status(thm),[c81,c55]) ).

cnf(c510,plain,
    theorem(or(not(X544),X544)),
    inference(resolution,status(thm),[c480,c15]) ).

cnf(c513,plain,
    theorem(or(X547,not(X547))),
    inference(resolution,status(thm),[c510,c25]) ).

cnf(c522,plain,
    theorem(implies(X568,not(not(X568)))),
    inference(resolution,status(thm),[c513,c27]) ).

cnf(c549,plain,
    ( theorem(not(not(X572)))
    | ~ theorem(X572) ),
    inference(resolution,status(thm),[c522,rule_2]) ).

cnf(c612,plain,
    theorem(not(not(or(X647,not(X647))))),
    inference(resolution,status(thm),[c549,c513]) ).

cnf(c777,plain,
    theorem(or(X1409,not(not(or(X1408,not(X1408)))))),
    inference(resolution,status(thm),[c612,c16]) ).

cnf(c2492,plain,
    theorem(or(not(not(or(X1703,not(X1703)))),X1702)),
    inference(resolution,status(thm),[c777,c25]) ).

cnf(c3031,plain,
    theorem(implies(not(or(X1705,not(X1705))),X1706)),
    inference(resolution,status(thm),[c2492,c27]) ).

cnf(and_defn,axiom,
    and(X53,X52) = not(or(not(X53),not(X52))),
    input ).

cnf(c37,plain,
    not(or(not(X236),not(X237))) = and(X236,X237),
    inference(resolution,status(thm),[and_defn,symmetry]) ).

cnf(c197,plain,
    implies(not(or(not(X1152),not(X1153))),X1151) = implies(and(X1152,X1153),X1151),
    inference(resolution,status(thm),[c37,c49]) ).

cnf(c2074,plain,
    ( ~ theorem(implies(not(or(not(X23088),not(X23086))),X23087))
    | theorem(implies(and(X23088,X23086),X23087)) ),
    inference(resolution,status(thm),[c197,c5]) ).

cnf(c101781,plain,
    theorem(implies(and(X23111,not(X23111)),X23112)),
    inference(resolution,status(thm),[c2074,c3031]) ).

cnf(c102122,plain,
    theorem(not(and(X23113,not(X23113)))),
    inference(resolution,status(thm),[c101781,c20991]) ).

cnf(c102156,plain,
    $false,
    inference(resolution,status(thm),[c102122,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL239-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n011.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 20:28:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 175.58/175.81  # Version:  1.3
% 175.58/175.81  # SZS status Unsatisfiable
% 175.58/175.81  # SZS output start CNFRefutation
% See solution above
% 175.58/175.81  
% 175.58/175.81  # Initial clauses    : 19
% 175.58/175.81  # Processed clauses  : 2173
% 175.58/175.81  # Factors computed   : 0
% 175.58/175.81  # Resolvents computed: 102155
% 175.58/175.81  # Tautologies deleted: 4
% 175.58/175.81  # Forward subsumed   : 6489
% 175.58/175.81  # Backward subsumed  : 9
% 175.58/175.81  # -------- CPU Time ---------
% 175.58/175.81  # User time          : 175.220 s
% 175.58/175.81  # System time        : 0.249 s
% 175.58/175.81  # Total time         : 175.469 s
%------------------------------------------------------------------------------