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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : TOP024+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 : Thu Sep 24 03:53:51 PM UTC 2026

% Result   : Theorem 21.50s 4.96s
% Output   : CNFRefutation 21.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   55 (  21 unt;   0 def)
%            Number of atoms       :  209 (  30 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  250 (  96   ~;  78   |;  42   &)
%                                         (   8 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   74 (   1 sgn  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t2_tsp_2,conjecture,
    ! [X1] :
      ( ( l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => v1_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).

fof(d5_tsp_2,axiom,
    ! [X1] :
      ( ( l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
          <=> ( k3_tex_4(X1,X2) = u1_struct_0(X1)
              & v1_tsp_1(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).

fof(t64_tex_4,axiom,
    ! [X1] :
      ( ( l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t64_tex_4) ).

fof(d2_tops_3,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tops_1(X2,X1)
          <=> k6_pre_topc(X1,X2) = u1_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+370.ax',d2_tops_3) ).

fof(t5_tex_2,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => ( v1_tex_2(X2,k1_zfmisc_1(X1))
      <=> X2 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+387.ax',t5_tex_2) ).

fof(d2_tex_2,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,X1)
     => ( v1_tex_2(X2,X1)
      <=> X2 != k3_tarski(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+387.ax',d2_tex_2) ).

fof(dt_k6_pre_topc,axiom,
    ! [X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
        & l1_pre_topc(X1) )
     => m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).

fof(fc3_tex_4,axiom,
    ! [X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
        & ~ v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
        & l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ( ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
        & v4_pre_topc(k6_pre_topc(X1,X2),X1)
        & ~ v1_xboole_0(k6_pre_topc(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',fc3_tex_4) ).

fof(t99_zfmisc_1,axiom,
    ! [X1] : k3_tarski(k1_zfmisc_1(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t99_zfmisc_1) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( l1_pre_topc(X1)
          & v2_pre_topc(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( v1_tsp_2(X2,X1)
             => v1_tops_1(X2,X1) ) ) ),
    inference(assume_negation,[status(cth)],[t2_tsp_2]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( ( l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
          <=> ( k3_tex_4(X1,X2) = u1_struct_0(X1)
              & v1_tsp_1(X2,X1) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d5_tsp_2]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ( l1_pre_topc(X1)
          & v2_pre_topc(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( v1_tsp_2(X2,X1)
             => v1_tops_1(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( ( l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[t64_tex_4]) ).

fof(c_0_15,plain,
    ! [X133,X134] :
      ( ( ~ l1_pre_topc(X133)
        | ~ v2_pre_topc(X133)
        | v3_struct_0(X133)
        | ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X133)))
        | v1_tsp_2(X134,X133)
        | k3_tex_4(X133,X134) != u1_struct_0(X133)
        | ~ v1_tsp_1(X134,X133) )
      & ( ~ l1_pre_topc(X133)
        | ~ v2_pre_topc(X133)
        | v3_struct_0(X133)
        | ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X133)))
        | ~ v1_tsp_2(X134,X133)
        | k3_tex_4(X133,X134) = u1_struct_0(X133) )
      & ( ~ l1_pre_topc(X133)
        | ~ v2_pre_topc(X133)
        | v3_struct_0(X133)
        | ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X133)))
        | ~ v1_tsp_2(X134,X133)
        | v1_tsp_1(X134,X133) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_16,negated_conjecture,
    ( ~ v1_tops_1(esk2_0,esk1_0)
    & v1_tsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & l1_pre_topc(esk1_0)
    & v2_pre_topc(esk1_0)
    & ~ v3_struct_0(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_17,plain,
    ! [X1445,X1446] :
      ( k6_pre_topc(X1445,k3_tex_4(X1445,X1446)) = k6_pre_topc(X1445,X1446)
      | ~ m1_subset_1(X1446,k1_zfmisc_1(u1_struct_0(X1445)))
      | ~ l1_pre_topc(X1445)
      | ~ v2_pre_topc(X1445)
      | v3_struct_0(X1445) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_18,plain,
    ( ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1)
    | v3_struct_0(X1)
    | k3_tex_4(X1,X2) = u1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    v1_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_24,plain,
    ! [X34,X35] :
      ( ( ~ l1_pre_topc(X34)
        | ~ m1_subset_1(X35,k1_zfmisc_1(u1_struct_0(X34)))
        | v1_tops_1(X35,X34)
        | k6_pre_topc(X34,X35) != u1_struct_0(X34) )
      & ( ~ l1_pre_topc(X34)
        | ~ m1_subset_1(X35,k1_zfmisc_1(u1_struct_0(X34)))
        | k6_pre_topc(X34,X35) = u1_struct_0(X34)
        | ~ v1_tops_1(X35,X34) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_3])])])])]) ).

fof(c_0_25,plain,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => ( v1_tex_2(X2,k1_zfmisc_1(X1))
      <=> X2 != X1 ) ),
    inference(fof_simplification,[status(thm)],[t5_tex_2]) ).

fof(c_0_26,plain,
    ! [X1,X2] :
      ( m1_subset_1(X2,X1)
     => ( v1_tex_2(X2,X1)
      <=> X2 != k3_tarski(X1) ) ),
    inference(fof_simplification,[status(thm)],[d2_tex_2]) ).

fof(c_0_27,plain,
    ! [X402,X403] :
      ( m1_subset_1(k6_pre_topc(X402,X403),k1_zfmisc_1(u1_struct_0(X402)))
      | ~ m1_subset_1(X403,k1_zfmisc_1(u1_struct_0(X402)))
      | ~ l1_pre_topc(X402) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])])]) ).

cnf(c_0_28,plain,
    ( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    k3_tex_4(esk1_0,esk2_0) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ~ v1_tops_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_31,plain,
    ( ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | k6_pre_topc(X1,X2) != u1_struct_0(X1)
    | v1_tops_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_32,plain,
    ! [X1294,X1295] :
      ( ( ~ m1_subset_1(X1295,k1_zfmisc_1(X1294))
        | v1_tex_2(X1295,k1_zfmisc_1(X1294))
        | X1295 = X1294 )
      & ( ~ m1_subset_1(X1295,k1_zfmisc_1(X1294))
        | X1295 != X1294
        | ~ v1_tex_2(X1295,k1_zfmisc_1(X1294)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

fof(c_0_33,plain,
    ! [X474,X475] :
      ( ( m1_subset_1(X474,k1_zfmisc_1(X475))
        | ~ r1_tarski(X474,X475) )
      & ( r1_tarski(X474,X475)
        | ~ m1_subset_1(X474,k1_zfmisc_1(X475)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).

fof(c_0_34,plain,
    ! [X451] : r1_tarski(X451,X451),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).

fof(c_0_35,plain,
    ! [X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
        & ~ v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
        & l1_pre_topc(X1)
        & v2_pre_topc(X1)
        & ~ v3_struct_0(X1) )
     => ( ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
        & v4_pre_topc(k6_pre_topc(X1,X2),X1)
        & ~ v1_xboole_0(k6_pre_topc(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[fc3_tex_4]) ).

fof(c_0_36,plain,
    ! [X1292,X1293] :
      ( ( ~ m1_subset_1(X1293,X1292)
        | v1_tex_2(X1293,X1292)
        | X1293 = k3_tarski(X1292) )
      & ( ~ m1_subset_1(X1293,X1292)
        | X1293 != k3_tarski(X1292)
        | ~ v1_tex_2(X1293,X1292) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).

cnf(c_0_37,plain,
    ( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    k6_pre_topc(esk1_0,esk2_0) = k6_pre_topc(esk1_0,u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

fof(c_0_39,plain,
    ! [X1900] : k3_tarski(k1_zfmisc_1(X1900)) = X1900,
    inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).

cnf(c_0_40,negated_conjecture,
    k6_pre_topc(esk1_0,esk2_0) != u1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21]),c_0_22])]) ).

cnf(c_0_41,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | X1 != X2
    | ~ v1_tex_2(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( ~ r1_tarski(X1,X2)
    | m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    r1_tarski(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_44,plain,
    ! [X1310,X1311] :
      ( ( ~ m1_subset_1(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | v1_tex_2(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | ~ l1_pre_topc(X1310)
        | ~ v2_pre_topc(X1310)
        | v3_struct_0(X1310)
        | ~ v1_tex_2(k6_pre_topc(X1310,X1311),k1_zfmisc_1(u1_struct_0(X1310))) )
      & ( ~ m1_subset_1(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | v1_tex_2(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | ~ l1_pre_topc(X1310)
        | ~ v2_pre_topc(X1310)
        | v3_struct_0(X1310)
        | v4_pre_topc(k6_pre_topc(X1310,X1311),X1310) )
      & ( ~ m1_subset_1(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | v1_tex_2(X1311,k1_zfmisc_1(u1_struct_0(X1310)))
        | ~ l1_pre_topc(X1310)
        | ~ v2_pre_topc(X1310)
        | v3_struct_0(X1310)
        | ~ v1_xboole_0(k6_pre_topc(X1310,X1311)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).

cnf(c_0_45,plain,
    ( ~ m1_subset_1(X1,X2)
    | v1_tex_2(X1,X2)
    | X1 = k3_tarski(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    m1_subset_1(k6_pre_topc(esk1_0,u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_21]),c_0_22])]) ).

cnf(c_0_47,plain,
    k3_tarski(k1_zfmisc_1(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    k6_pre_topc(esk1_0,u1_struct_0(esk1_0)) != u1_struct_0(esk1_0),
    inference(rw,[status(thm)],[c_0_40,c_0_38]) ).

cnf(c_0_49,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X1))
    | ~ v1_tex_2(X1,k1_zfmisc_1(X1)) ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_50,plain,
    m1_subset_1(X1,k1_zfmisc_1(X1)),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,plain,
    ( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    v1_tex_2(k6_pre_topc(esk1_0,u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_53,plain,
    ~ v1_tex_2(X1,k1_zfmisc_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_20]),c_0_21]),c_0_50])]),c_0_53]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TOP024+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  % Computer : n013.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Mon Sep 21 12:39:09 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.50  Running first-order theorem proving
% 0.06/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.50/4.96  % Version: 3.5.1
% 21.50/4.96  % Preprocessing class: FMLMSMSLSSSNFFN.
% 21.50/4.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.50/4.96  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 21.50/4.96  % Starting new_bool_3 with 600s (2) cores
% 21.50/4.96  % Starting new_bool_1 with 600s (2) cores
% 21.50/4.96  % Starting sh5l with 300s (1) cores
% 21.50/4.96  % new_bool_3 with pid 774258 completed with status 0
% 21.50/4.96  % Result found by new_bool_3
% 21.50/4.96  % Preprocessing class: FMLMSMSLSSSNFFN.
% 21.50/4.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.50/4.96  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 21.50/4.96  % Starting new_bool_3 with 600s (2) cores
% 21.50/4.96  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 21.50/4.96  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.50/4.96  % Search class: FGHSM-SMLM31-MFFFFFNN
% 21.50/4.96  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 21.50/4.96  % Starting SubtermCWHack with 61s (1) cores
% 21.50/4.96  % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 21.50/4.96  % C07_19_nc_SAT001_MinMin_p005000_rr with pid 774262 completed with status 0
% 21.50/4.96  % Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 21.50/4.96  % Preprocessing class: FMLMSMSLSSSNFFN.
% 21.50/4.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.50/4.96  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 21.50/4.96  % Starting new_bool_3 with 600s (2) cores
% 21.50/4.96  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 21.50/4.96  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.50/4.96  % Search class: FGHSM-SMLM31-MFFFFFNN
% 21.50/4.96  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 21.50/4.96  % Starting SubtermCWHack with 61s (1) cores
% 21.50/4.96  % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 21.50/4.96  % Preprocessing time       : 0.079 s
% 21.50/4.96  % Presaturation interreduction done
% 21.50/4.96  
% 21.50/4.96  % Proof found!
% 21.50/4.96  % SZS status Theorem
% 21.50/4.96  % SZS output start CNFRefutation
% See solution above
% 21.50/4.96  % Parsed axioms                        : 3583
% 21.50/4.96  % Removed by relevancy pruning/SinE    : 2545
% 21.50/4.96  % Initial clauses                      : 2493
% 21.50/4.96  % Removed in clause preprocessing      : 100
% 21.50/4.96  % Initial clauses in saturation        : 2393
% 21.50/4.96  % Processed clauses                    : 15357
% 21.50/4.96  % ...of these trivial                  : 50
% 21.50/4.96  % ...subsumed                          : 9559
% 21.50/4.96  % ...remaining for further processing  : 5748
% 21.50/4.96  % Other redundant clauses eliminated   : 281
% 21.50/4.96  % Clauses deleted for lack of memory   : 0
% 21.50/4.96  % Backward-subsumed                    : 172
% 21.50/4.96  % Backward-rewritten                   : 66
% 21.50/4.96  % Generated clauses                    : 42994
% 21.50/4.96  % ...of the previous two non-redundant : 38648
% 21.50/4.96  % ...aggressively subsumed             : 0
% 21.50/4.96  % Contextual simplify-reflections      : 377
% 21.50/4.96  % Paramodulations                      : 42703
% 21.50/4.96  % Factorizations                       : 3
% 21.50/4.96  % NegExts                              : 0
% 21.50/4.96  % Equation resolutions                 : 291
% 21.50/4.96  % Disequality decompositions           : 0
% 21.50/4.96  % Total rewrite steps                  : 7062
% 21.50/4.96  % ...of those cached                   : 6103
% 21.50/4.96  % Propositional unsat checks           : 1
% 21.50/4.96  %    Propositional check models        : 1
% 21.50/4.97  %    Propositional check unsatisfiable : 0
% 21.50/4.97  %    Propositional clauses             : 0
% 21.50/4.97  %    Propositional clauses after purity: 0
% 21.50/4.97  %    Propositional unsat core size     : 0
% 21.50/4.97  %    Propositional preprocessing time  : 0.000
% 21.50/4.97  %    Propositional encoding time       : 0.037
% 21.50/4.97  %    Propositional solver time         : 0.028
% 21.50/4.97  %    Success case prop preproc time    : 0.000
% 21.50/4.97  %    Success case prop encoding time   : 0.000
% 21.50/4.97  %    Success case prop solver time     : 0.000
% 21.50/4.97  % Current number of processed clauses  : 3178
% 21.50/4.97  %    Positive orientable unit clauses  : 236
% 21.50/4.97  %    Positive unorientable unit clauses: 2
% 21.50/4.97  %    Negative unit clauses             : 469
% 21.50/4.97  %    Non-unit-clauses                  : 2471
% 21.50/4.97  % Current number of unprocessed clauses: 27388
% 21.50/4.97  % ...number of literals in the above   : 104839
% 21.50/4.97  % Current number of archived formulas  : 0
% 21.50/4.97  % Current number of archived clauses   : 2399
% 21.50/4.97  % Clause-clause subsumption calls (NU) : 4391988
% 21.50/4.97  % Rec. Clause-clause subsumption calls : 730790
% 21.50/4.97  % Non-unit clause-clause subsumptions  : 4874
% 21.50/4.97  % Unit Clause-clause subsumption calls : 30265
% 21.50/4.97  % Rewrite failures with RHS unbound    : 0
% 21.50/4.97  % BW rewrite match attempts            : 288
% 21.50/4.97  % BW rewrite match successes           : 186
% 21.50/4.97  % Condensation attempts                : 0
% 21.50/4.97  % Condensation successes               : 0
% 21.50/4.97  % Termbank termtop insertions          : 894128
% 21.50/4.97  % Search garbage collected termcells   : 67654
% 21.50/4.97  
% 21.50/4.97  % -------------------------------------------------
% 21.50/4.97  % User time                : 3.410 s
% 21.50/4.97  % System time              : 0.092 s
% 21.50/4.97  % Total time               : 3.502 s
% 21.50/4.97  % Maximum resident set size: 15036 pages
% 21.50/4.97  
% 21.50/4.97  % -------------------------------------------------
% 21.50/4.97  % User time                : 5.761 s
% 21.50/4.97  % System time              : 0.179 s
% 21.50/4.97  % Total time               : 5.940 s
% 21.50/4.97  % Maximum resident set size: 8960 pages
% 21.50/4.97  % E exiting
%------------------------------------------------------------------------------