TSTP Solution File: LCL119-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL119-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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  : 300s
% DateTime : Thu Aug 31 07:42:37 EDT 2023

% Result   : Unsatisfiable 62.69s 9.30s
% Output   : CNFRefutation 62.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   96 (  32 unt;   0 nHn;  43 RR)
%            Number of literals    :  180 (   0 equ;  85 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  269 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xgj) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wo) ).

cnf(c_394,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_395,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(superposition,[status(thm)],[c_394,c_49]) ).

cnf(c_396,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_50,c_395]) ).

cnf(c_397,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),X2)) ),
    inference(superposition,[status(thm)],[c_394,c_395]) ).

cnf(c_639,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_642,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(superposition,[status(thm)],[c_639,c_49]) ).

cnf(c_643,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_397,c_49]) ).

cnf(c_651,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X1,X2))
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(superposition,[status(thm)],[c_396,c_642]) ).

cnf(c_858,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_396,c_49]) ).

cnf(c_861,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X1)),X3))
    | is_a_theorem(equivalent(X3,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_651]) ).

cnf(c_879,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_50,c_643]) ).

cnf(c_881,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_858,c_643]) ).

cnf(c_908,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_879]) ).

cnf(c_911,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X2,X0))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_396,c_879]) ).

cnf(c_1022,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_1029,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_396,c_49]) ).

cnf(c_1032,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
    inference(superposition,[status(thm)],[c_50,c_908]) ).

cnf(c_1057,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(X0,equivalent(X2,X2))) ),
    inference(superposition,[status(thm)],[c_1032,c_881]) ).

cnf(c_1058,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_1032,c_49]) ).

cnf(c_1060,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_396,c_1058]) ).

cnf(c_1061,plain,
    is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
    inference(superposition,[status(thm)],[c_1032,c_1058]) ).

cnf(c_1065,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1022,c_49]) ).

cnf(c_1071,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_1029,c_1058]) ).

cnf(c_1076,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X2)),X1)) ),
    inference(superposition,[status(thm)],[c_1032,c_1065]) ).

cnf(c_1079,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X2,X3)),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_911]) ).

cnf(c_1083,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1032,c_911]) ).

cnf(c_1192,plain,
    is_a_theorem(equivalent(X0,X0)),
    inference(superposition,[status(thm)],[c_1061,c_1060]) ).

cnf(c_1205,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_396,c_49]) ).

cnf(c_1206,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X1)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_50,c_1071]) ).

cnf(c_1218,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
    inference(superposition,[status(thm)],[c_1192,c_1057]) ).

cnf(c_1222,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
    inference(superposition,[status(thm)],[c_50,c_1083]) ).

cnf(c_1228,plain,
    is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
    inference(superposition,[status(thm)],[c_1192,c_1083]) ).

cnf(c_1239,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_1222,c_49]) ).

cnf(c_1242,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X0,equivalent(X2,X2)))))),
    inference(superposition,[status(thm)],[c_1222,c_1083]) ).

cnf(c_1244,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_1228,c_1071]) ).

cnf(c_1251,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_1218,c_1060]) ).

cnf(c_1252,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X1),X0)) ),
    inference(superposition,[status(thm)],[c_1218,c_1083]) ).

cnf(c_1256,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_396,c_1239]) ).

cnf(c_1319,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X0),equivalent(X2,X2))) ),
    inference(superposition,[status(thm)],[c_1076,c_1244]) ).

cnf(c_1344,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_1251]) ).

cnf(c_1364,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
    | is_a_theorem(equivalent(X0,equivalent(X2,X2))) ),
    inference(superposition,[status(thm)],[c_1252,c_1083]) ).

cnf(c_30269,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X1)),X2)),
    inference(superposition,[status(thm)],[c_50,c_1256]) ).

cnf(c_30351,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X1,equivalent(X2,X2))))),
    inference(superposition,[status(thm)],[c_1344,c_1256]) ).

cnf(c_30358,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
    inference(superposition,[status(thm)],[c_396,c_1256]) ).

cnf(c_30371,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X0,equivalent(X2,X2))))) ),
    inference(superposition,[status(thm)],[c_1242,c_49]) ).

cnf(c_30464,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X2))),X1)) ),
    inference(superposition,[status(thm)],[c_30371,c_1256]) ).

cnf(c_30646,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_1205,c_1071]) ).

cnf(c_30732,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X0,equivalent(X1,X1))),equivalent(X2,X2))),
    inference(superposition,[status(thm)],[c_1344,c_1364]) ).

cnf(c_30737,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X0),equivalent(X2,X2))),
    inference(superposition,[status(thm)],[c_30351,c_1364]) ).

cnf(c_30753,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X2)))),X0)),
    inference(superposition,[status(thm)],[c_30732,c_908]) ).

cnf(c_30764,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)),X0)),
    inference(superposition,[status(thm)],[c_30737,c_908]) ).

cnf(c_30940,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X1)),X3))
    | ~ is_a_theorem(X3)
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_50,c_30646]) ).

cnf(c_31538,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
    | is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
    inference(superposition,[status(thm)],[c_1319,c_861]) ).

cnf(c_31539,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X0),X2)),
    inference(superposition,[status(thm)],[c_1344,c_861]) ).

cnf(c_31550,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2)) ),
    inference(superposition,[status(thm)],[c_30464,c_861]) ).

cnf(c_31553,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X1)),X2)),X2)),
    inference(superposition,[status(thm)],[c_30753,c_861]) ).

cnf(c_31554,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X0,X2)),X2)),
    inference(superposition,[status(thm)],[c_30764,c_861]) ).

cnf(c_31623,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X0)),X1))),
    inference(superposition,[status(thm)],[c_31539,c_1256]) ).

cnf(c_31663,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X1)),X2)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_31553,c_49]) ).

cnf(c_31682,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X0,X2)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_31554,c_49]) ).

cnf(c_31725,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
    inference(superposition,[status(thm)],[c_31623,c_908]) ).

cnf(c_31778,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(superposition,[status(thm)],[c_396,c_31663]) ).

cnf(c_31847,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X0),X2))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_1079,c_1206]) ).

cnf(c_31850,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
    | is_a_theorem(equivalent(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1079,c_1060]) ).

cnf(c_31861,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X0,X1)),X2),X1))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_1079,c_31682]) ).

cnf(c_32121,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1))) ),
    inference(superposition,[status(thm)],[c_31725,c_1071]) ).

cnf(c_32123,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_31725,c_49]) ).

cnf(c_32298,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X2),equivalent(X0,X1))))),
    inference(superposition,[status(thm)],[c_30269,c_32123]) ).

cnf(c_32521,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),equivalent(X2,X0))),X2)),
    inference(superposition,[status(thm)],[c_32298,c_1256]) ).

cnf(c_35032,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X0,equivalent(X2,equivalent(X2,X1)))) ),
    inference(superposition,[status(thm)],[c_1079,c_31778]) ).

cnf(c_35205,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(X2,X1)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_31550,c_31847]) ).

cnf(c_35701,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_30358,c_31861]) ).

cnf(c_35731,plain,
    is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,equivalent(X2,equivalent(X2,X1))))),
    inference(superposition,[status(thm)],[c_32521,c_31861]) ).

cnf(c_35807,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,X1)))),X0)),
    inference(superposition,[status(thm)],[c_35731,c_31850]) ).

cnf(c_35934,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X0)),X2)),X2)),
    inference(superposition,[status(thm)],[c_35807,c_861]) ).

cnf(c_36185,plain,
    is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,equivalent(X1,X2)),X2))),
    inference(superposition,[status(thm)],[c_35934,c_31538]) ).

cnf(c_36551,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X2)),X2)),X0)),
    inference(superposition,[status(thm)],[c_36185,c_31850]) ).

cnf(c_36619,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,X2)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_36551,c_30940]) ).

cnf(c_37373,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_32121,c_1256]) ).

cnf(c_40985,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_396,c_36619]) ).

cnf(c_41413,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_1079,c_35205]) ).

cnf(c_44729,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2)) ),
    inference(superposition,[status(thm)],[c_37373,c_861]) ).

cnf(c_46851,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1079,c_41413]) ).

cnf(c_47119,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_44729,c_861]) ).

cnf(c_48487,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_46851,c_31850]) ).

cnf(c_48510,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(X0,X2),X1)) ),
    inference(superposition,[status(thm)],[c_46851,c_35701]) ).

cnf(c_48563,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
    inference(superposition,[status(thm)],[c_40985,c_47119]) ).

cnf(c_48628,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(X1,equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_35032,c_47119]) ).

cnf(c_50494,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_30269,c_48510]) ).

cnf(c_50894,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X1,X2)))))),
    inference(superposition,[status(thm)],[c_50494,c_48487]) ).

cnf(c_53244,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X2,X1))),
    inference(superposition,[status(thm)],[c_50894,c_48563]) ).

cnf(c_56066,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
    inference(superposition,[status(thm)],[c_53244,c_48628]) ).

cnf(c_58452,plain,
    $false,
    inference(superposition,[status(thm)],[c_56066,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL119-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 06:08:09 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 62.69/9.30  % SZS status Started for theBenchmark.p
% 62.69/9.30  % SZS status Unsatisfiable for theBenchmark.p
% 62.69/9.30  
% 62.69/9.30  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 62.69/9.30  
% 62.69/9.30  ------  iProver source info
% 62.69/9.30  
% 62.69/9.30  git: date: 2023-05-31 18:12:56 +0000
% 62.69/9.30  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 62.69/9.30  git: non_committed_changes: false
% 62.69/9.30  git: last_make_outside_of_git: false
% 62.69/9.30  
% 62.69/9.30  ------ Parsing...successful
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 62.69/9.30  
% 62.69/9.30  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 62.69/9.30  ------ Proving...
% 62.69/9.30  ------ Problem Properties 
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  clauses                                 3
% 62.69/9.30  conjectures                             1
% 62.69/9.30  EPR                                     0
% 62.69/9.30  Horn                                    3
% 62.69/9.30  unary                                   2
% 62.69/9.30  binary                                  0
% 62.69/9.30  lits                                    5
% 62.69/9.30  lits eq                                 0
% 62.69/9.30  fd_pure                                 0
% 62.69/9.30  fd_pseudo                               0
% 62.69/9.30  fd_cond                                 0
% 62.69/9.30  fd_pseudo_cond                          0
% 62.69/9.30  AC symbols                              0
% 62.69/9.30  
% 62.69/9.30  ------ Input Options Time Limit: Unbounded
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  ------ 
% 62.69/9.30  Current options:
% 62.69/9.30  ------ 
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  ------ Proving...
% 62.69/9.30  
% 62.69/9.30  
% 62.69/9.30  % SZS status Unsatisfiable for theBenchmark.p
% 62.69/9.30  
% 62.69/9.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.69/9.30  
% 62.69/9.31  
%------------------------------------------------------------------------------