TSTP Solution File: LCL121-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri May  3 02:36:55 EDT 2024

% Result   : Unsatisfiable 99.38s 14.31s
% Output   : CNFRefutation 99.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   84 (  27 unt;   0 nHn;  33 RR)
%            Number of literals    :  163 (   0 equ;  80 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   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   :  293 (   5 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(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_1) ).

cnf(c_516,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_517,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_516,c_49]) ).

cnf(c_518,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_517]) ).

cnf(c_520,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_518,c_49]) ).

cnf(c_792,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_520,c_49]) ).

cnf(c_824,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X0,X3))
    | is_a_theorem(equivalent(equivalent(X3,X1),X2)) ),
    inference(superposition,[status(thm)],[c_520,c_792]) ).

cnf(c_826,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_829,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_826,c_49]) ).

cnf(c_831,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_829]) ).

cnf(c_833,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))) ),
    inference(superposition,[status(thm)],[c_520,c_829]) ).

cnf(c_834,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2)) ),
    inference(superposition,[status(thm)],[c_831,c_792]) ).

cnf(c_1089,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_520,c_49]) ).

cnf(c_1093,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_833]) ).

cnf(c_1100,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
    | ~ is_a_theorem(equivalent(equivalent(X0,X2),X4))
    | is_a_theorem(equivalent(X4,X3)) ),
    inference(superposition,[status(thm)],[c_834,c_1089]) ).

cnf(c_1101,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_834,c_49]) ).

cnf(c_1114,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_520,c_1101]) ).

cnf(c_1143,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X3),equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_1093,c_824]) ).

cnf(c_1354,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4))))) ),
    inference(superposition,[status(thm)],[c_50,c_1114]) ).

cnf(c_1394,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X1,X2))
    | is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
    inference(superposition,[status(thm)],[c_1143,c_1114]) ).

cnf(c_1460,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_834,c_1114]) ).

cnf(c_1461,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
    | is_a_theorem(equivalent(X3,X2)) ),
    inference(superposition,[status(thm)],[c_834,c_1100]) ).

cnf(c_1651,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_833]) ).

cnf(c_1685,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
    | is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X4),equivalent(X3,X4))) ),
    inference(superposition,[status(thm)],[c_1651,c_1394]) ).

cnf(c_1697,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X1,X3)))) ),
    inference(superposition,[status(thm)],[c_1651,c_1461]) ).

cnf(c_1699,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X0,X3))
    | is_a_theorem(equivalent(X2,equivalent(X3,X1))) ),
    inference(superposition,[status(thm)],[c_520,c_1461]) ).

cnf(c_1754,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X3,X0))
    | is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X1,X4)))) ),
    inference(superposition,[status(thm)],[c_1143,c_1461]) ).

cnf(c_1759,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X1,X3))) ),
    inference(superposition,[status(thm)],[c_1697,c_49]) ).

cnf(c_1788,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3))) ),
    inference(superposition,[status(thm)],[c_1651,c_1699]) ).

cnf(c_1811,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | ~ is_a_theorem(equivalent(X0,X3))
    | is_a_theorem(equivalent(X3,X2)) ),
    inference(superposition,[status(thm)],[c_1788,c_1114]) ).

cnf(c_1818,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
    inference(superposition,[status(thm)],[c_1651,c_1759]) ).

cnf(c_2219,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_2221,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_833]) ).

cnf(c_2245,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))
    | is_a_theorem(equivalent(equivalent(X0,X4),equivalent(equivalent(X1,X3),X4))) ),
    inference(superposition,[status(thm)],[c_2219,c_1818]) ).

cnf(c_2257,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X2,X1)) ),
    inference(superposition,[status(thm)],[c_520,c_1811]) ).

cnf(c_2273,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X0,X3))
    | is_a_theorem(equivalent(X2,equivalent(X3,X1))) ),
    inference(superposition,[status(thm)],[c_520,c_2257]) ).

cnf(c_2306,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X2,X3))) ),
    inference(superposition,[status(thm)],[c_834,c_1685]) ).

cnf(c_2342,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
    | is_a_theorem(equivalent(X2,X3)) ),
    inference(superposition,[status(thm)],[c_2306,c_1114]) ).

cnf(c_2481,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(equivalent(X0,X4),equivalent(X3,X4)))) ),
    inference(superposition,[status(thm)],[c_2221,c_1754]) ).

cnf(c_2545,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3))) ),
    inference(superposition,[status(thm)],[c_2221,c_2273]) ).

cnf(c_2821,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(superposition,[status(thm)],[c_50,c_833]) ).

cnf(c_3036,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4),equivalent(equivalent(X0,equivalent(X1,X3)),X4))),
    inference(superposition,[status(thm)],[c_50,c_2245]) ).

cnf(c_3037,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
    inference(superposition,[status(thm)],[c_2821,c_2245]) ).

cnf(c_3135,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_3037,c_1460]) ).

cnf(c_3152,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_2545,c_3135]) ).

cnf(c_3155,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_834,c_3135]) ).

cnf(c_3163,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(superposition,[status(thm)],[c_3037,c_3135]) ).

cnf(c_3182,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2))) ),
    inference(superposition,[status(thm)],[c_3163,c_824]) ).

cnf(c_3191,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
    inference(superposition,[status(thm)],[c_2821,c_3152]) ).

cnf(c_3222,plain,
    ( ~ is_a_theorem(equivalent(X0,X0))
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_1354,c_3155]) ).

cnf(c_3228,plain,
    is_a_theorem(equivalent(X0,X0)),
    inference(superposition,[status(thm)],[c_3163,c_3155]) ).

cnf(c_3264,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
    | is_a_theorem(equivalent(equivalent(X0,X2),X3)) ),
    inference(superposition,[status(thm)],[c_3191,c_2342]) ).

cnf(c_3265,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_3191,c_1114]) ).

cnf(c_3561,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
    | ~ is_a_theorem(equivalent(X2,X0))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_2481,c_1460]) ).

cnf(c_3583,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X1,X0))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_3182,c_1460]) ).

cnf(c_3633,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))))
    | is_a_theorem(equivalent(equivalent(X0,X3),X2)) ),
    inference(superposition,[status(thm)],[c_834,c_3265]) ).

cnf(c_3643,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
    inference(superposition,[status(thm)],[c_3036,c_3265]) ).

cnf(c_3716,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
    | is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_3037,c_3583]) ).

cnf(c_3721,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X2,X0)) ),
    inference(superposition,[status(thm)],[c_3191,c_3583]) ).

cnf(c_3923,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_4075,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_3923,c_49]) ).

cnf(c_4534,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
    inference(superposition,[status(thm)],[c_3643,c_3264]) ).

cnf(c_4625,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
    inference(superposition,[status(thm)],[c_4534,c_3721]) ).

cnf(c_5252,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
    inference(superposition,[status(thm)],[c_4625,c_3633]) ).

cnf(c_5714,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(equivalent(X1,X0))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_834,c_3561]) ).

cnf(c_101538,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(equivalent(X0,X2))
    | is_a_theorem(equivalent(X1,X2)) ),
    inference(superposition,[status(thm)],[c_520,c_49]) ).

cnf(c_101543,plain,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
    inference(global_subsumption_just,[status(thm)],[c_4075,c_3228,c_3222]) ).

cnf(c_101544,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(renaming,[status(thm)],[c_101543]) ).

cnf(c_101559,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X3))
    | is_a_theorem(equivalent(X0,X3)) ),
    inference(superposition,[status(thm)],[c_5252,c_101538]) ).

cnf(c_101571,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
    inference(superposition,[status(thm)],[c_101544,c_3716]) ).

cnf(c_101582,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
    | is_a_theorem(equivalent(X0,X2)) ),
    inference(superposition,[status(thm)],[c_101571,c_49]) ).

cnf(c_101818,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X3))
    | is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
    inference(superposition,[status(thm)],[c_520,c_101559]) ).

cnf(c_114248,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
    inference(superposition,[status(thm)],[c_3643,c_101818]) ).

cnf(c_114357,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))) ),
    inference(superposition,[status(thm)],[c_114248,c_49]) ).

cnf(c_114510,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | ~ is_a_theorem(X2)
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_114357,c_5714]) ).

cnf(c_114861,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_114510]) ).

cnf(c_141792,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,equivalent(X2,X3)),equivalent(X3,X2)),X1))),
    inference(superposition,[status(thm)],[c_114248,c_1818]) ).

cnf(c_142493,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X2,X1),X3)),X0)),
    inference(superposition,[status(thm)],[c_141792,c_114861]) ).

cnf(c_143399,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X2,X1)),X3),X0)),
    inference(superposition,[status(thm)],[c_142493,c_101582]) ).

cnf(c_143925,plain,
    is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)),X0)),
    inference(superposition,[status(thm)],[c_143399,c_101559]) ).

cnf(c_144347,plain,
    is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)))),
    inference(superposition,[status(thm)],[c_143925,c_3721]) ).

cnf(c_144467,plain,
    $false,
    inference(superposition,[status(thm)],[c_144347,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:08:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 99.38/14.31  % SZS status Started for theBenchmark.p
% 99.38/14.31  % SZS status Unsatisfiable for theBenchmark.p
% 99.38/14.31  
% 99.38/14.31  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 99.38/14.31  
% 99.38/14.31  ------  iProver source info
% 99.38/14.31  
% 99.38/14.31  git: date: 2024-05-02 19:28:25 +0000
% 99.38/14.31  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 99.38/14.31  git: non_committed_changes: false
% 99.38/14.31  
% 99.38/14.31  ------ Parsing...successful
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 99.38/14.31  
% 99.38/14.31  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 99.38/14.31  ------ Proving...
% 99.38/14.31  ------ Problem Properties 
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  clauses                                 3
% 99.38/14.31  conjectures                             1
% 99.38/14.31  EPR                                     0
% 99.38/14.31  Horn                                    3
% 99.38/14.31  unary                                   2
% 99.38/14.31  binary                                  0
% 99.38/14.31  lits                                    5
% 99.38/14.31  lits eq                                 0
% 99.38/14.31  fd_pure                                 0
% 99.38/14.31  fd_pseudo                               0
% 99.38/14.31  fd_cond                                 0
% 99.38/14.31  fd_pseudo_cond                          0
% 99.38/14.31  AC symbols                              0
% 99.38/14.31  
% 99.38/14.31  ------ Input Options Time Limit: Unbounded
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  ------ 
% 99.38/14.31  Current options:
% 99.38/14.31  ------ 
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  ------ Proving...
% 99.38/14.31  
% 99.38/14.31  
% 99.38/14.31  % SZS status Unsatisfiable for theBenchmark.p
% 99.38/14.31  
% 99.38/14.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 99.38/14.32  
% 99.38/14.33  
%------------------------------------------------------------------------------