TSTP Solution File: LAT286+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT286+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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  : 600s
% DateTime : Sun Jul 17 04:46:23 EDT 2022

% Result   : Theorem 0.61s 13.80s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   72 (  19 unt;   0 def)
%            Number of atoms       :  186 (  18 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  191 (  77   ~;  71   |;  22   &)
%                                         (   1 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   82 (   2 sgn  52   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t15_lopclset,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t15_lopclset) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).

fof(d3_pre_topc,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => k2_pre_topc(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',d3_pre_topc) ).

fof(t14_pre_topc,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => r1_tarski(X2,k2_pre_topc(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t14_pre_topc) ).

fof(rc1_subset_1,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
          & ~ v1_xboole_0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc1_subset_1) ).

fof(fc2_pre_topc,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(k2_pre_topc(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',fc2_pre_topc) ).

fof(dt_k4_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k4_subset_1) ).

fof(dt_k2_pre_topc,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k2_pre_topc) ).

fof(t2_tops_1,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k4_subset_1(u1_struct_0(X1),X2,k2_pre_topc(X1)) = k2_pre_topc(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t2_tops_1) ).

fof(t13_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t13_lopclset) ).

fof(commutativity_k4_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k4_subset_1(X1,X2,X3) = k4_subset_1(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',commutativity_k4_subset_1) ).

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(t4_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( ( v3_pre_topc(X2,X1)
              & v4_pre_topc(X2,X1) )
           => r2_hidden(X2,k1_lopclset(X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_lopclset) ).

fof(fc8_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v3_pre_topc(k2_pre_topc(X1),X1)
        & v4_pre_topc(k2_pre_topc(X1),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc8_tops_1) ).

fof(fc5_pre_topc,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => v4_pre_topc(k2_pre_topc(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',fc5_pre_topc) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
    inference(assume_negation,[status(cth)],[t15_lopclset]) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

fof(c_0_18,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ l1_struct_0(X2)
      | k2_pre_topc(X2) = u1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pre_topc])]) ).

cnf(c_0_20,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_22,plain,
    ! [X3,X4] :
      ( ~ l1_struct_0(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | r1_tarski(X4,k2_pre_topc(X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_pre_topc])])])])]) ).

fof(c_0_23,plain,
    ! [X3] :
      ( ( m1_subset_1(esk38_1(X3),k1_zfmisc_1(X3))
        | v1_xboole_0(X3) )
      & ( ~ v1_xboole_0(esk38_1(X3))
        | v1_xboole_0(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[rc1_subset_1])])])])])])]) ).

fof(c_0_24,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_struct_0(X2)
      | ~ v1_xboole_0(k2_pre_topc(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_pre_topc])])]) ).

cnf(c_0_25,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | m1_subset_1(k4_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ~ l1_struct_0(X2)
      | m1_subset_1(k2_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_pre_topc])]) ).

cnf(c_0_29,plain,
    ( r1_tarski(X1,k2_pre_topc(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(esk38_1(X1),k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(k2_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    k2_pre_topc(esk1_0) = u1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_34,plain,
    ! [X3,X4] :
      ( ~ l1_struct_0(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | k4_subset_1(u1_struct_0(X3),X4,k2_pre_topc(X3)) = k2_pre_topc(X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tops_1])])])])]) ).

cnf(c_0_35,plain,
    ( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    ( m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_37,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v2_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | u1_struct_0(k6_lopclset(X2)) = k1_lopclset(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t13_lopclset])])]) ).

fof(c_0_38,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k4_subset_1(X4,X5,X6) = k4_subset_1(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k4_subset_1])]) ).

fof(c_0_39,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
        | r1_tarski(X3,X4) )
      & ( ~ r1_tarski(X3,X4)
        | m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).

cnf(c_0_40,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | r1_tarski(esk38_1(u1_struct_0(X1)),k2_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_41,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26])]),c_0_33]) ).

cnf(c_0_42,plain,
    ( k4_subset_1(u1_struct_0(X1),X2,k2_pre_topc(X1)) = k2_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | ~ v3_pre_topc(X4,X3)
      | ~ v4_pre_topc(X4,X3)
      | r2_hidden(X4,k1_lopclset(X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t4_lopclset])])])])])]) ).

cnf(c_0_44,plain,
    ( m1_subset_1(k4_subset_1(X1,X2,esk38_1(X1)),k1_zfmisc_1(X1))
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_30]) ).

cnf(c_0_45,negated_conjecture,
    m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_32]) ).

cnf(c_0_46,plain,
    ( u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1)
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_48,plain,
    ( k4_subset_1(X1,X2,X3) = k4_subset_1(X1,X3,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,negated_conjecture,
    r1_tarski(esk38_1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_26]),c_0_32]),c_0_41]) ).

cnf(c_0_51,plain,
    ( k4_subset_1(u1_struct_0(X1),esk38_1(u1_struct_0(X1)),k2_pre_topc(X1)) = k2_pre_topc(X1)
    | v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_30]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ( v3_pre_topc(k2_pre_topc(X2),X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( v4_pre_topc(k2_pre_topc(X2),X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_tops_1])])]) ).

fof(c_0_53,plain,
    ! [X2] :
      ( ~ v2_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | v4_pre_topc(k2_pre_topc(X2),X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_pre_topc])]) ).

cnf(c_0_54,plain,
    ( r2_hidden(X1,k1_lopclset(X2))
    | v3_struct_0(X2)
    | ~ v4_pre_topc(X1,X2)
    | ~ v3_pre_topc(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_0))),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_41]) ).

cnf(c_0_56,negated_conjecture,
    k1_lopclset(esk1_0) = u1_struct_0(k6_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_21])]),c_0_33]) ).

cnf(c_0_57,negated_conjecture,
    ( k4_subset_1(u1_struct_0(esk1_0),X1,u1_struct_0(esk1_0)) = k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

cnf(c_0_58,negated_conjecture,
    m1_subset_1(esk38_1(u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    k4_subset_1(u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_26]),c_0_32]),c_0_32]),c_0_41]) ).

cnf(c_0_60,plain,
    ( v3_pre_topc(k2_pre_topc(X1),X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,plain,
    ( v4_pre_topc(k2_pre_topc(X1),X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_62,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | m1_subset_1(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).

cnf(c_0_63,negated_conjecture,
    ( r2_hidden(k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_0))),u1_struct_0(k6_lopclset(esk1_0)))
    | ~ v3_pre_topc(k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_0))),esk1_0)
    | ~ v4_pre_topc(k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_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_54,c_0_55]),c_0_56]),c_0_47]),c_0_21])]),c_0_33]) ).

cnf(c_0_64,negated_conjecture,
    k4_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk38_1(u1_struct_0(esk1_0))) = u1_struct_0(esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    v3_pre_topc(u1_struct_0(esk1_0),esk1_0),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_47]),c_0_21])]),c_0_32]) ).

cnf(c_0_66,negated_conjecture,
    v4_pre_topc(u1_struct_0(esk1_0),esk1_0),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_21])]),c_0_32]) ).

cnf(c_0_67,negated_conjecture,
    ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_68,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    r2_hidden(u1_struct_0(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64]),c_0_65]),c_0_64]),c_0_66])]) ).

cnf(c_0_70,negated_conjecture,
    ~ m1_subset_1(u1_struct_0(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    inference(rw,[status(thm)],[c_0_67,c_0_32]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT286+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 02:37:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.61/13.80  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.61/13.80  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.61/13.80  # Preprocessing time       : 0.161 s
% 0.61/13.80  
% 0.61/13.80  # Proof found!
% 0.61/13.80  # SZS status Theorem
% 0.61/13.80  # SZS output start CNFRefutation
% See solution above
% 0.61/13.80  # Proof object total steps             : 72
% 0.61/13.80  # Proof object clause steps            : 39
% 0.61/13.80  # Proof object formula steps           : 33
% 0.61/13.80  # Proof object conjectures             : 24
% 0.61/13.80  # Proof object clause conjectures      : 21
% 0.61/13.80  # Proof object formula conjectures     : 3
% 0.61/13.80  # Proof object initial clauses used    : 19
% 0.61/13.80  # Proof object initial formulas used   : 16
% 0.61/13.80  # Proof object generating inferences   : 18
% 0.61/13.80  # Proof object simplifying inferences  : 33
% 0.61/13.80  # Training examples: 0 positive, 0 negative
% 0.61/13.80  # Parsed axioms                        : 6427
% 0.61/13.80  # Removed by relevancy pruning/SinE    : 6183
% 0.61/13.80  # Initial clauses                      : 404
% 0.61/13.80  # Removed in clause preprocessing      : 5
% 0.61/13.80  # Initial clauses in saturation        : 399
% 0.61/13.80  # Processed clauses                    : 8404
% 0.61/13.80  # ...of these trivial                  : 395
% 0.61/13.80  # ...subsumed                          : 1491
% 0.61/13.80  # ...remaining for further processing  : 6518
% 0.61/13.80  # Other redundant clauses eliminated   : 210
% 0.61/13.80  # Clauses deleted for lack of memory   : 552955
% 0.61/13.80  # Backward-subsumed                    : 25
% 0.61/13.80  # Backward-rewritten                   : 1342
% 0.61/13.80  # Generated clauses                    : 799327
% 0.61/13.80  # ...of the previous two non-trivial   : 787617
% 0.61/13.80  # Contextual simplify-reflections      : 110
% 0.61/13.80  # Paramodulations                      : 798996
% 0.61/13.80  # Factorizations                       : 56
% 0.61/13.80  # Equation resolutions                 : 272
% 0.61/13.80  # Current number of processed clauses  : 5146
% 0.61/13.80  #    Positive orientable unit clauses  : 1124
% 0.61/13.80  #    Positive unorientable unit clauses: 32
% 0.61/13.80  #    Negative unit clauses             : 163
% 0.61/13.80  #    Non-unit-clauses                  : 3827
% 0.61/13.80  # Current number of unprocessed clauses: 134219
% 0.61/13.80  # ...number of literals in the above   : 280031
% 0.61/13.80  # Current number of archived formulas  : 0
% 0.61/13.80  # Current number of archived clauses   : 1368
% 0.61/13.80  # Clause-clause subsumption calls (NU) : 1864237
% 0.61/13.80  # Rec. Clause-clause subsumption calls : 872741
% 0.61/13.80  # Non-unit clause-clause subsumptions  : 943
% 0.61/13.80  # Unit Clause-clause subsumption calls : 192402
% 0.61/13.80  # Rewrite failures with RHS unbound    : 26
% 0.61/13.80  # BW rewrite match attempts            : 14199
% 0.61/13.80  # BW rewrite match successes           : 852
% 0.61/13.80  # Condensation attempts                : 0
% 0.61/13.80  # Condensation successes               : 0
% 0.61/13.80  # Termbank termtop insertions          : 29582972
% 0.61/13.80  
% 0.61/13.80  # -------------------------------------------------
% 0.61/13.80  # User time                : 11.925 s
% 0.61/13.80  # System time              : 0.152 s
% 0.61/13.80  # Total time               : 12.077 s
% 0.61/13.80  # Maximum resident set size: 160968 pages
% 0.61/23.72  eprover: CPU time limit exceeded, terminating
% 0.61/23.73  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.61/23.73  
% 0.61/23.74  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.74  eprover: No such file or directory
% 0.61/23.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.75  eprover: No such file or directory
% 0.61/23.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.75  eprover: No such file or directory
% 0.61/23.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.75  eprover: No such file or directory
% 0.61/23.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.75  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.76  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.77  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.78  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.79  eprover: No such file or directory
% 0.61/23.80  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.80  eprover: No such file or directory
% 0.61/23.80  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/23.80  eprover: No such file or directory
% 0.61/23.80  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.80  eprover: No such file or directory
% 0.61/23.81  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/23.81  eprover: No such file or directory
%------------------------------------------------------------------------------