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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL396-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:06:31 PM UTC 2026

% Result   : Unsatisfiable 181.78s 35.12s
% Output   : CNFRefutation 181.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   81 (  30 unt;   0 def)
%            Number of atoms       :  150 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  140 (  71   ~;  69   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  190 (   0 sgn 190   !;   0   ?; 182   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f5,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_62) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_56,plain,
    ! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_58,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_59,plain,
    is_a_theorem(implies(x,implies(not(x),x))),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_98,plain,
    ! [X0: $i] :
      ( is_a_theorem(X0)
      | ~ is_a_theorem(implies(not(X0),X0)) ),
    inference(resolution,[status(thm)],[c_54,c_56]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(not(X0),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[c_54,c_57]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_55,c_54]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_128,c_54]) ).

tcf(c_136,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

tcf(c_149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_134,c_55]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
    inference(resolution,[status(thm)],[c_134,c_56]) ).

tcf(c_152,plain,
    ( is_a_theorem(implies(x,x))
    | ~ is_a_theorem(implies(x,implies(not(x),x))) ),
    inference(instantiation,[status(thm)],[c_151]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_134,c_57]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X0,implies(X3,X2)))
      | ~ is_a_theorem(implies(X3,X1))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_134,c_128]) ).

tcf(c_179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136,c_54]) ).

tcf(c_209,plain,
    ! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
    inference(resolution,[status(thm)],[c_151,c_56]) ).

tcf(c_211,plain,
    ! [X0: $i] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[status(thm)],[c_151,c_57]) ).

tcf(c_214,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(implies(X1,X0),X0))
      | ~ is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[status(thm)],[c_151,c_128]) ).

tcf(c_244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X3,X1),X2))
      | ~ is_a_theorem(implies(X0,X3))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_136,c_179]) ).

tcf(c_282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(not(X1),X2))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_153,c_54]) ).

tcf(c_285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X2,implies(not(X1),X3)))
      | ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_153,c_134]) ).

tcf(c_331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_149,c_54]) ).

tcf(c_333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0))) ),
    inference(resolution,[status(thm)],[c_149,c_98]) ).

tcf(c_375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_156,c_55]) ).

tcf(c_379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X1,implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,not(X1))) ),
    inference(resolution,[status(thm)],[c_156,c_57]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(not(X2),X1))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_214,c_134]) ).

tcf(c_496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X0,X3))))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_55,c_244]) ).

tcf(c_688,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(implies(not(X0),not(X1))) ),
    inference(resolution,[status(thm)],[c_379,c_151]) ).

tcf(c_758,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[c_688,c_100]) ).

tcf(c_771,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(implies(not(X0),X0)) ),
    inference(resolution,[status(thm)],[c_758,c_151]) ).

tcf(c_917,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(not(implies(X2,X1)),X3))
      | ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_282,c_128]) ).

tcf(c_1009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4)))
      | ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
    inference(resolution,[status(thm)],[c_285,c_55]) ).

tcf(c_1011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(not(X0),X0),implies(not(X1),X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_285,c_56]) ).

tcf(c_1013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X0,implies(not(X2),X3)))
      | ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[status(thm)],[c_285,c_57]) ).

tcf(c_1080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
      | ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1))) ),
    inference(resolution,[status(thm)],[c_375,c_151]) ).

tcf(c_1644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
    inference(resolution,[status(thm)],[c_331,c_56]) ).

tcf(c_1648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X1,X3),implies(X2,X3)))
      | ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_331,c_128]) ).

tcf(c_2957,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
    inference(resolution,[status(thm)],[c_1013,c_209]) ).

tcf(c_2959,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
    inference(resolution,[status(thm)],[c_1013,c_211]) ).

tcf(c_5446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(implies(not(X0),not(implies(not(X1),X2)))) ),
    inference(resolution,[status(thm)],[c_486,c_2959]) ).

tcf(c_5459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(not(X2),X2),X0))
      | ~ is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(not(X0),not(X1))) ),
    inference(resolution,[status(thm)],[c_486,c_1011]) ).

tcf(c_6616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_917,c_56]) ).

tcf(c_6618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(not(implies(X0,X2)),X3))
      | ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[status(thm)],[c_917,c_57]) ).

tcf(c_9667,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
    inference(resolution,[status(thm)],[c_1080,c_57]) ).

tcf(c_10184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
      | ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[status(thm)],[c_1648,c_57]) ).

tcf(c_10485,plain,
    ! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
    inference(resolution,[status(thm)],[c_9667,c_151]) ).

tcf(c_14819,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
      | ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(resolution,[status(thm)],[c_6616,c_333]) ).

tcf(c_16312,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
    inference(resolution,[status(thm)],[c_6618,c_209]) ).

tcf(c_16314,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
    inference(resolution,[status(thm)],[c_6618,c_2957]) ).

tcf(c_20012,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[status(thm)],[c_16312,c_771]) ).

tcf(c_20131,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[status(thm)],[c_20012,c_1080]) ).

tcf(c_20747,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[status(thm)],[c_16314,c_1644]) ).

tcf(c_28093,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
    inference(resolution,[status(thm)],[c_20131,c_1009]) ).

tcf(c_29510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[status(thm)],[c_20747,c_54]) ).

tcf(c_133938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(X2)
      | ~ is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_134660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X2,X3))
      | ~ is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(X2,X3))) ),
    inference(instantiation,[status(thm)],[c_133938]) ).

tcf(c_142749,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))
      | ~ is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(implies(not(not(x)),y),implies(x,y)))) ),
    inference(instantiation,[status(thm)],[c_134660]) ).

tcf(c_150158,plain,
    ! [X0: $i] :
      ( is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))
      | ~ is_a_theorem(implies(implies(not(X0),X0),not(not(x))))
      | ~ is_a_theorem(implies(implies(implies(not(X0),X0),not(not(x))),implies(implies(not(not(x)),y),implies(x,y)))) ),
    inference(instantiation,[status(thm)],[c_142749]) ).

tcf(c_150159,plain,
    ! [X0: $i] :
      ( is_a_theorem(implies(implies(implies(not(X0),X0),not(not(x))),implies(implies(not(not(x)),y),implies(x,y))))
      | ~ is_a_theorem(implies(x,implies(not(X0),X0))) ),
    inference(instantiation,[status(thm)],[c_496]) ).

tcf(c_150160,plain,
    ( is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))
    | ~ is_a_theorem(implies(implies(not(x),x),not(not(x))))
    | ~ is_a_theorem(implies(implies(implies(not(x),x),not(not(x))),implies(implies(not(not(x)),y),implies(x,y)))) ),
    inference(instantiation,[status(thm)],[c_150158]) ).

tcf(c_150161,plain,
    ( is_a_theorem(implies(implies(implies(not(x),x),not(not(x))),implies(implies(not(not(x)),y),implies(x,y))))
    | ~ is_a_theorem(implies(x,implies(not(x),x))) ),
    inference(instantiation,[status(thm)],[c_150159]) ).

tcf(c_201016,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[status(thm)],[c_28093,c_151]) ).

tcf(c_201496,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
    inference(resolution,[status(thm)],[c_201016,c_29510]) ).

tcf(c_202890,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X2,implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[c_201496,c_156]) ).

tcf(c_225349,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[status(thm)],[c_202890,c_57]) ).

tcf(c_227407,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
    inference(backward_subsumption_resolution,[status(thm)],[c_14819,c_225349]) ).

tcf(c_237151,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[status(thm)],[c_227407,c_10184]) ).

tcf(c_246118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[status(thm)],[c_237151,c_54]) ).

tcf(c_270915,plain,
    ! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
    inference(resolution,[status(thm)],[c_246118,c_10485]) ).

tcf(c_280995,plain,
    ! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
    inference(resolution,[status(thm)],[c_270915,c_688]) ).

tcf(c_285818,plain,
    ! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
    inference(resolution,[status(thm)],[c_280995,c_5446]) ).

tcf(c_286757,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(implies(not(X0),X0),not(not(X1))))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_285818,c_5459]) ).

tcf(c_286758,plain,
    ( is_a_theorem(implies(implies(not(x),x),not(not(x))))
    | ~ is_a_theorem(implies(x,x)) ),
    inference(instantiation,[status(thm)],[c_286757]) ).

tcf(c_286759,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_286758,c_150161,c_150160,c_152,c_58,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LCL396-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39  % Computer : n020.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Wed Sep 23 23:12:04 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.45  
% 0.13/0.45  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45  
% 0.13/0.45  % Detected problem language: tptp
% 0.13/0.46  % Proving...
% 181.78/35.12  % SZS status Started for theBenchmark.p
% 181.78/35.12  % SZS status Unsatisfiable for theBenchmark.p
% 181.78/35.12  
% 181.78/35.12  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 181.78/35.12  
% 181.78/35.12  % ------  iProver source info
% 181.78/35.12  
% 181.78/35.12  % git: date: 2026-07-19 20:42:38 +0200
% 181.78/35.12  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 181.78/35.12  % git: non_committed_changes: false
% 181.78/35.12  
% 181.78/35.12  % ------ Parsing...% successful
% 181.78/35.12  
% 181.78/35.12  
% 181.78/35.12  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 181.78/35.12  
% 181.78/35.12  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e % 
% 181.78/35.12  
% 181.78/35.12  % ------ Preprocessing...
% 181.78/35.12  % ------ Proving...
% 181.78/35.12  % ------ Problem Properties 
% 181.78/35.12  
% 181.78/35.12  % 
% 181.78/35.12  % clauses                               5
% 181.78/35.12  % conjectures                           1
% 181.78/35.12  % EPR                                   0
% 181.78/35.12  % Horn                                  5
% 181.78/35.12  % unary                                 4
% 181.78/35.12  % binary                                0
% 181.78/35.12  % lits                                  7
% 181.78/35.12  % lits eq                               0
% 181.78/35.12  % fd_pure                               0
% 181.78/35.12  % fd_pseudo                             0
% 181.78/35.12  % fd_cond                               0
% 181.78/35.12  % fd_pseudo_cond                        0
% 181.78/35.12  % AC symbols                            0
% 181.78/35.12  
% 181.78/35.12  % ------ Input Options Time Limit: Unbounded
% 181.78/35.12  
% 181.78/35.12  
% 181.78/35.12  % ------ 
% 181.78/35.12  % Current options:
% 181.78/35.12  % ------ 
% 181.78/35.12  
% 181.78/35.12  
% 181.78/35.12  % 
% 181.78/35.12  
% 181.78/35.12  % ------ Proving...
% 181.78/35.12  % 
% 181.78/35.12  
% 181.78/35.12  % SZS status Unsatisfiable for theBenchmark.p
% 181.78/35.12  
% 181.78/35.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 181.78/35.12  
% 181.78/35.12  
%------------------------------------------------------------------------------