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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 03:55:01 PM UTC 2026

% Result   : Theorem 1.87s 1.29s
% Output   : CNFRefutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   69 (  24 unt;   0 def)
%            Number of atoms       :  257 (  48 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  306 ( 118   ~; 128   |;  40   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   79 (   1 sgn  75   !;   4   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
              & v1_tsp_2(X1,X0)
              & ( v4_pre_topc(X1,X0)
                | v3_pre_topc(X1,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_pre_topc(X0)
          & v2_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
           => ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
                & v1_tsp_2(X1,X0)
                & ( v4_pre_topc(X1,X0)
                  | v3_pre_topc(X1,X0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f25,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v1_tsp_2(X1,X0)
          <=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
              & v1_tsp_1(X1,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).

fof(f51,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f54,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
    <=> r1_tarski(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f56,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v3_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).

fof(f58,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
     => ( v1_tex_2(X1,k1_zfmisc_1(X0))
      <=> X1 != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).

fof(f59,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v4_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).

fof(f63,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f51]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
     => m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f80,plain,
    ? [X0] :
      ( l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tsp_2(X1,X0)
          & ( v4_pre_topc(X1,X0)
            | v3_pre_topc(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f81,plain,
    ? [X0] :
      ( l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tsp_2(X1,X0)
          & ( v4_pre_topc(X1,X0)
            | v3_pre_topc(X1,X0) ) ) ),
    inference(flattening,[],[f80]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( v1_tsp_2(X1,X0)
          <=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
              & v1_tsp_1(X1,X0) ) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( v1_tsp_2(X1,X0)
          <=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
              & v1_tsp_1(X1,X0) ) ) ) ),
    inference(flattening,[],[f105]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X0,X1)
      | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v3_pre_topc(X1,X0)
          | k3_tex_4(X0,X1) = X1 ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v3_pre_topc(X1,X0)
          | k3_tex_4(X0,X1) = X1 ) ),
    inference(flattening,[],[f134]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ( v1_tex_2(X1,k1_zfmisc_1(X0))
      <=> X1 != X0 ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v4_pre_topc(X1,X0)
          | k3_tex_4(X0,X1) = X1 ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v4_pre_topc(X1,X0)
          | k3_tex_4(X0,X1) = X1 ) ),
    inference(flattening,[],[f138]) ).

fof(f147,plain,
    ( l1_pre_topc(sK2)
    & v2_pre_topc(sK2)
    & ~ v3_struct_0(sK2)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    & v1_tex_2(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    & v1_tsp_2(sK3,sK2)
    & ( v4_pre_topc(sK3,sK2)
      | v3_pre_topc(sK3,sK2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f81]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( ~ v1_tsp_2(X1,X0)
              | ( k3_tex_4(X0,X1) = u1_struct_0(X0)
                & v1_tsp_1(X1,X0) ) )
            & ( u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0)
              | v1_tsp_2(X1,X0) ) ) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( ~ v1_tsp_2(X1,X0)
              | ( k3_tex_4(X0,X1) = u1_struct_0(X0)
                & v1_tsp_1(X1,X0) ) )
            & ( u1_struct_0(X0) != k3_tex_4(X0,X1)
              | ~ v1_tsp_1(X1,X0)
              | v1_tsp_2(X1,X0) ) ) ) ),
    inference(flattening,[],[f150]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ( ( ~ v1_tex_2(X1,k1_zfmisc_1(X0))
          | X1 != X0 )
        & ( X0 = X1
          | v1_tex_2(X1,k1_zfmisc_1(X0)) ) ) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f169,plain,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f170,plain,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f171,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f172,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f147]) ).

fof(f173,plain,
    v1_tex_2(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f147]) ).

fof(f174,plain,
    v1_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f175,plain,
    ( v4_pre_topc(sK3,sK2)
    | v3_pre_topc(sK3,sK2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_tsp_2(X1,X0)
      | u1_struct_0(X0) = k3_tex_4(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f283,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f63]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X0,X1)
      | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v3_pre_topc(X1,X0)
      | k3_tex_4(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ v1_tex_2(X1,k1_zfmisc_1(X0))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v4_pre_topc(X1,X0)
      | k3_tex_4(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f296,plain,
    ! [X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X1))
      | ~ v1_tex_2(X1,k1_zfmisc_1(X1)) ),
    inference(equality_resolution,[],[f290]) ).

tcf(c_49,negated_conjecture,
    ( v4_pre_topc(sK3,sK2)
    | v3_pre_topc(sK3,sK2) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_50,negated_conjecture,
    v1_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_51,negated_conjecture,
    v1_tex_2(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_52,negated_conjecture,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_53,negated_conjecture,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_54,negated_conjecture,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_55,negated_conjecture,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | ( k3_tex_4(X1,X0) = u1_struct_0(X1) )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ v1_tsp_2(X0,X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_162,plain,
    ! [X0: $i] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_167,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | ( k3_tex_4(X1,X0) = X0 )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ v3_pre_topc(X0,X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_170,plain,
    ! [X0: $i] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X0))
      | ~ v1_tex_2(X0,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f296]) ).

tcf(c_171,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | ( k3_tex_4(X1,X0) = X0 )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ v4_pre_topc(X0,X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(cnf_transformation,[],[f292]) ).

tcf(c_1493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
      | ( X0 != X2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_162,c_165]) ).

tcf(c_1494,plain,
    ! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
    inference(unflattening,[status(thm)],[c_1493]) ).

tcf(c_1500,plain,
    ! [X0: $i] : ~ v1_tex_2(X0,k1_zfmisc_1(X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_170,c_1494]) ).

tcf(c_1502,plain,
    ! [X0: $i] :
      ( ( X0 != sK3 )
      | ( k1_zfmisc_1(u1_struct_0(sK2)) != k1_zfmisc_1(X0) ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_1500]) ).

tcf(c_1503,plain,
    k1_zfmisc_1(u1_struct_0(sK2)) != k1_zfmisc_1(sK3),
    inference(unflattening,[status(thm)],[c_1502]) ).

tcf(c_1525,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | ( k3_tex_4(X1,X0) = u1_struct_0(X1) )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
      | ( X1 != sK2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_100]) ).

tcf(c_1526,plain,
    ( v3_struct_0(sK2)
    | ( k3_tex_4(sK2,sK3) = u1_struct_0(sK2) )
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
    inference(unflattening,[status(thm)],[c_1525]) ).

tcf(c_1527,plain,
    k3_tex_4(sK2,sK3) = u1_struct_0(sK2),
    inference(global_subsumption_just,[status(thm)],[c_1526,c_55,c_54,c_53,c_52,c_1526]) ).

tcf(c_2149,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | v4_pre_topc(sK3,sK2)
      | ( k3_tex_4(X1,X0) = X0 )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
      | ( X1 != sK2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_167]) ).

tcf(c_2150,plain,
    ( v3_struct_0(sK2)
    | v4_pre_topc(sK3,sK2)
    | ( k3_tex_4(sK2,sK3) = sK3 )
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
    inference(unflattening,[status(thm)],[c_2149]) ).

tcf(c_2151,plain,
    ( ( k3_tex_4(sK2,sK3) = sK3 )
    | v4_pre_topc(sK3,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_2150,c_55,c_54,c_53,c_52,c_2150]) ).

tcf(c_2152,plain,
    ( v4_pre_topc(sK3,sK2)
    | ( k3_tex_4(sK2,sK3) = sK3 ) ),
    inference(renaming,[status(thm)],[c_2151]) ).

tcf(c_2280,plain,
    ! [X0: $i,X1: $i] :
      ( v3_struct_0(X1)
      | ( k3_tex_4(sK2,sK3) = sK3 )
      | ( k3_tex_4(X1,X0) = X0 )
      | ~ l1_pre_topc(X1)
      | ~ v2_pre_topc(X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
      | ( X1 != sK2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_2152,c_171]) ).

tcf(c_2281,plain,
    ( v3_struct_0(sK2)
    | ( k3_tex_4(sK2,sK3) = sK3 )
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
    inference(unflattening,[status(thm)],[c_2280]) ).

tcf(c_2282,plain,
    k3_tex_4(sK2,sK3) = sK3,
    inference(global_subsumption_just,[status(thm)],[c_2281,c_55,c_54,c_53,c_52,c_2281]) ).

tcf(c_2907,plain,
    u1_struct_0(sK2) = sK3,
    inference(light_normalisation,[status(thm)],[c_1527,c_2282]) ).

tcf(c_2942,plain,
    k1_zfmisc_1(sK3) != k1_zfmisc_1(sK3),
    inference(light_normalisation,[status(thm)],[c_1503,c_2907]) ).

tcf(c_2943,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_2942]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n020.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 04:11:18 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 1.87/1.29  % SZS status Started for theBenchmark.p
% 1.87/1.29  % SZS status Theorem for theBenchmark.p
% 1.87/1.29  
% 1.87/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.87/1.29  
% 1.87/1.29  % ------  iProver source info
% 1.87/1.29  
% 1.87/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.87/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.87/1.29  % git: non_committed_changes: false
% 1.87/1.29  
% 1.87/1.29  % ------ Parsing...
% 1.87/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.87/1.29  
% 1.87/1.29  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 55 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e % 
% 1.87/1.29  
% 1.87/1.29  % SZS status Theorem for theBenchmark.p
% 1.87/1.29  
% 1.87/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.87/1.30  
% 1.87/1.30  
%------------------------------------------------------------------------------