TSTP Solution File: SEU446+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU446+4 : 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 : Tue Jul 19 09:20:23 EDT 2022

% Result   : Theorem 4.29s 36.49s
% Output   : CNFRefutation 4.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   63 (   9 unt;   0 def)
%            Number of atoms       :  149 (  41 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  158 (  72   ~;  58   |;  11   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-5 aty)
%            Number of variables   :  133 (   7 sgn  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t58_relset_2,conjecture,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
     => k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t58_relset_2) ).

fof(t51_relset_2,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X2,X1)
     => ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
        & k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t51_relset_2) ).

fof(t53_relset_2,axiom,
    ! [X1,X2,X3,X4] :
      ( m2_relset_1(X4,X1,X2)
     => ! [X5] :
          ( m2_relset_1(X5,X2,X3)
         => ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
            & r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t53_relset_2) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
     => v1_relat_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).

fof(dt_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
     => m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).

fof(t21_funct_5,axiom,
    ! [X1] :
      ( v1_relat_1(X1)
     => ( k1_funct_5(X1) = k1_relat_1(X1)
        & k2_funct_5(X1) = k2_relat_1(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t21_funct_5) ).

fof(dt_k9_relset_2,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
        & m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
     => m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k9_relset_2) ).

fof(t16_relset_1,axiom,
    ! [X1,X2,X3,X4] :
      ( m2_relset_1(X4,X3,X1)
     => ( r1_tarski(X1,X2)
       => m2_relset_1(X4,X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t16_relset_1) ).

fof(redefinition_k10_relset_1,axiom,
    ! [X1,X2,X3,X4] :
      ( m1_relset_1(X3,X1,X2)
     => k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_k10_relset_1) ).

fof(dt_k6_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m1_relset_1(X3,X1,X2)
     => m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',dt_k6_relset_1) ).

fof(t100_zfmisc_1,axiom,
    ! [X1] : r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t100_zfmisc_1) ).

fof(redefinition_k6_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m1_relset_1(X3,X1,X2)
     => k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_k6_relset_1) ).

fof(t37_relat_1,axiom,
    ! [X1] :
      ( v1_relat_1(X1)
     => ( k2_relat_1(X1) = k1_relat_1(k4_relat_1(X1))
        & k1_relat_1(X1) = k2_relat_1(k4_relat_1(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t37_relat_1) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).

fof(t146_relat_1,axiom,
    ! [X1] :
      ( v1_relat_1(X1)
     => k9_relat_1(X1,k1_relat_1(X1)) = k2_relat_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t146_relat_1) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( m2_relset_1(X3,X1,X2)
       => k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
    inference(assume_negation,[status(cth)],[t58_relset_2]) ).

fof(c_0_16,negated_conjecture,
    ( m2_relset_1(esk3_0,esk1_0,esk2_0)
    & k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_17,plain,
    ! [X4,X5,X6] :
      ( ( k1_funct_5(X6) = k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),X4)
        | ~ m2_relset_1(X6,X5,X4) )
      & ( k2_funct_5(X6) = k10_relset_1(X5,X4,X6,X5)
        | ~ m2_relset_1(X6,X5,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).

cnf(c_0_18,negated_conjecture,
    k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    ( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_20,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( k2_funct_5(k9_relset_2(X6,X7,X8,X9,X10)) = k10_relset_1(X7,X8,X10,k2_funct_5(X9))
        | ~ m2_relset_1(X10,X7,X8)
        | ~ m2_relset_1(X9,X6,X7) )
      & ( r1_tarski(k2_funct_5(k9_relset_2(X6,X7,X8,X9,X10)),k2_funct_5(X10))
        | ~ m2_relset_1(X10,X7,X8)
        | ~ m2_relset_1(X9,X6,X7) ) ),
    inference(distribute,[status(thm)],[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)],[t53_relset_2])])])])])]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
      | v1_relat_1(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).

fof(c_0_22,plain,
    ! [X4,X5,X6] :
      ( ~ m2_relset_1(X6,X4,X5)
      | m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).

cnf(c_0_23,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m2_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( k2_funct_5(k9_relset_2(X2,X3,X5,X1,X4)) = k10_relset_1(X3,X5,X4,k2_funct_5(X1))
    | ~ m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    m2_relset_1(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_26,plain,
    ! [X2] :
      ( ( k1_funct_5(X2) = k1_relat_1(X2)
        | ~ v1_relat_1(X2) )
      & ( k2_funct_5(X2) = k2_relat_1(X2)
        | ~ v1_relat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).

cnf(c_0_27,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    ( k10_relset_1(esk1_0,esk2_0,esk3_0,k2_funct_5(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m2_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0)
    | ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_30,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_32,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
      | ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
      | m2_relset_1(k9_relset_2(X6,X7,X8,X9,X10),X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).

fof(c_0_33,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m2_relset_1(X8,X7,X5)
      | ~ r1_tarski(X5,X6)
      | m2_relset_1(X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])]) ).

cnf(c_0_34,negated_conjecture,
    ( k10_relset_1(esk1_0,esk2_0,esk3_0,k2_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m2_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0)
    | ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_35,plain,
    ( m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_36,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_relset_1(X7,X5,X6)
      | k10_relset_1(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])])]) ).

fof(c_0_37,plain,
    ! [X4,X5,X6] :
      ( ~ m1_relset_1(X6,X4,X5)
      | m2_relset_1(k6_relset_1(X4,X5,X6),X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).

cnf(c_0_38,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X4,X3)
    | ~ m2_relset_1(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_39,plain,
    ! [X2] : r1_tarski(X2,k1_zfmisc_1(k3_tarski(X2))),
    inference(variable_rename,[status(thm)],[t100_zfmisc_1]) ).

cnf(c_0_40,negated_conjecture,
    ( k10_relset_1(esk1_0,esk2_0,esk3_0,k2_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]) ).

cnf(c_0_41,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] :
      ( ~ m1_relset_1(X6,X4,X5)
      | k6_relset_1(X4,X5,X6) = k4_relat_1(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).

cnf(c_0_44,negated_conjecture,
    ( m2_relset_1(esk3_0,esk1_0,X1)
    | ~ r1_tarski(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_25]) ).

cnf(c_0_45,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( k9_relat_1(esk3_0,k2_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m1_relset_1(esk3_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_47,plain,
    ( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_48,plain,
    ! [X2] :
      ( ( k2_relat_1(X2) = k1_relat_1(k4_relat_1(X2))
        | ~ v1_relat_1(X2) )
      & ( k1_relat_1(X2) = k2_relat_1(k4_relat_1(X2))
        | ~ v1_relat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_relat_1])])]) ).

cnf(c_0_49,negated_conjecture,
    m2_relset_1(esk3_0,esk1_0,k1_zfmisc_1(k3_tarski(esk2_0))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( k9_relat_1(esk3_0,k2_relat_1(k4_relat_1(esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ m1_relset_1(esk3_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    ( k1_relat_1(X1) = k2_relat_1(k4_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    v1_relat_1(esk3_0),
    inference(spm,[status(thm)],[c_0_31,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k9_relat_1(esk3_0,k1_relat_1(esk3_0))
    | ~ m1_relset_1(esk3_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_54,negated_conjecture,
    ( k2_funct_5(esk3_0) != k9_relat_1(esk3_0,k1_relat_1(esk3_0))
    | ~ m1_relset_1(esk3_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_19]),c_0_25])]) ).

fof(c_0_55,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

cnf(c_0_56,negated_conjecture,
    ( k9_relat_1(esk3_0,k1_relat_1(esk3_0)) != k2_relat_1(esk3_0)
    | ~ m1_relset_1(esk3_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_30]),c_0_52])]) ).

cnf(c_0_57,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_58,plain,
    ! [X2] :
      ( ~ v1_relat_1(X2)
      | k9_relat_1(X2,k1_relat_1(X2)) = k2_relat_1(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])]) ).

cnf(c_0_59,negated_conjecture,
    ( k9_relat_1(esk3_0,k1_relat_1(esk3_0)) != k2_relat_1(esk3_0)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_25])]) ).

cnf(c_0_60,plain,
    ( k9_relat_1(X1,k1_relat_1(X1)) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_28]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU446+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 15:21:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.23/27.33  eprover: CPU time limit exceeded, terminating
% 4.23/27.33  eprover: CPU time limit exceeded, terminating
% 4.23/27.33  eprover: CPU time limit exceeded, terminating
% 4.23/27.37  eprover: CPU time limit exceeded, terminating
% 4.29/36.49  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 4.29/36.49  
% 4.29/36.49  # Failure: Resource limit exceeded (time)
% 4.29/36.49  # OLD status Res
% 4.29/36.49  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 4.29/36.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 4.29/36.49  # Preprocessing time       : 3.696 s
% 4.29/36.49  
% 4.29/36.49  # Proof found!
% 4.29/36.49  # SZS status Theorem
% 4.29/36.49  # SZS output start CNFRefutation
% See solution above
% 4.29/36.49  # Proof object total steps             : 63
% 4.29/36.49  # Proof object clause steps            : 32
% 4.29/36.49  # Proof object formula steps           : 31
% 4.29/36.49  # Proof object conjectures             : 20
% 4.29/36.49  # Proof object clause conjectures      : 17
% 4.29/36.49  # Proof object formula conjectures     : 3
% 4.29/36.49  # Proof object initial clauses used    : 16
% 4.29/36.49  # Proof object initial formulas used   : 15
% 4.29/36.49  # Proof object generating inferences   : 16
% 4.29/36.49  # Proof object simplifying inferences  : 17
% 4.29/36.49  # Training examples: 0 positive, 0 negative
% 4.29/36.49  # Parsed axioms                        : 71140
% 4.29/36.49  # Removed by relevancy pruning/SinE    : 70083
% 4.29/36.49  # Initial clauses                      : 2422
% 4.29/36.49  # Removed in clause preprocessing      : 47
% 4.29/36.49  # Initial clauses in saturation        : 2375
% 4.29/36.49  # Processed clauses                    : 11360
% 4.29/36.49  # ...of these trivial                  : 295
% 4.29/36.49  # ...subsumed                          : 6255
% 4.29/36.49  # ...remaining for further processing  : 4810
% 4.29/36.49  # Other redundant clauses eliminated   : 201
% 4.29/36.49  # Clauses deleted for lack of memory   : 0
% 4.29/36.49  # Backward-subsumed                    : 184
% 4.29/36.49  # Backward-rewritten                   : 184
% 4.29/36.49  # Generated clauses                    : 114656
% 4.29/36.49  # ...of the previous two non-trivial   : 109584
% 4.29/36.49  # Contextual simplify-reflections      : 3222
% 4.29/36.49  # Paramodulations                      : 114352
% 4.29/36.49  # Factorizations                       : 7
% 4.29/36.49  # Equation resolutions                 : 298
% 4.29/36.49  # Current number of processed clauses  : 4421
% 4.29/36.49  #    Positive orientable unit clauses  : 565
% 4.29/36.49  #    Positive unorientable unit clauses: 2
% 4.29/36.49  #    Negative unit clauses             : 116
% 4.29/36.49  #    Non-unit-clauses                  : 3738
% 4.29/36.49  # Current number of unprocessed clauses: 95134
% 4.29/36.49  # ...number of literals in the above   : 571524
% 4.29/36.49  # Current number of archived formulas  : 0
% 4.29/36.49  # Current number of archived clauses   : 371
% 4.29/36.49  # Clause-clause subsumption calls (NU) : 4265129
% 4.29/36.49  # Rec. Clause-clause subsumption calls : 2051774
% 4.29/36.49  # Non-unit clause-clause subsumptions  : 7424
% 4.29/36.49  # Unit Clause-clause subsumption calls : 156645
% 4.29/36.49  # Rewrite failures with RHS unbound    : 0
% 4.29/36.49  # BW rewrite match attempts            : 1024
% 4.29/36.49  # BW rewrite match successes           : 79
% 4.29/36.49  # Condensation attempts                : 0
% 4.29/36.49  # Condensation successes               : 0
% 4.29/36.49  # Termbank termtop insertions          : 5228681
% 4.29/36.49  
% 4.29/36.49  # -------------------------------------------------
% 4.29/36.49  # User time                : 7.819 s
% 4.29/36.49  # System time              : 0.229 s
% 4.29/36.49  # Total time               : 8.048 s
% 4.29/36.49  # Maximum resident set size: 270792 pages
% 4.31/50.39  eprover: CPU time limit exceeded, terminating
% 4.31/50.42  eprover: CPU time limit exceeded, terminating
% 4.31/50.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.42  eprover: No such file or directory
% 4.31/50.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.43  eprover: No such file or directory
% 4.31/50.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.43  eprover: No such file or directory
% 4.31/50.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.44  eprover: No such file or directory
% 4.31/50.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.44  eprover: No such file or directory
% 4.31/50.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.45  eprover: No such file or directory
% 4.31/50.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.46  eprover: No such file or directory
% 4.31/50.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.46  eprover: No such file or directory
% 4.31/50.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.47  eprover: No such file or directory
% 4.31/50.47  eprover: CPU time limit exceeded, terminating
% 4.31/50.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 4.31/50.47  eprover: No such file or directory
% 4.31/50.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.51  eprover: No such file or directory
% 4.31/50.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.51  eprover: No such file or directory
% 4.31/50.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.51  eprover: No such file or directory
% 4.31/50.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.51  eprover: No such file or directory
% 4.31/50.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.52  eprover: No such file or directory
% 4.31/50.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.52  eprover: No such file or directory
% 4.31/50.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.52  eprover: No such file or directory
% 4.31/50.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.52  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.53  eprover: No such file or directory
% 4.31/50.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.54  eprover: No such file or directory
% 4.31/50.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.54  eprover: No such file or directory
% 4.31/50.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.54  eprover: No such file or directory
% 4.31/50.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.55  eprover: No such file or directory
% 4.31/50.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.55  eprover: No such file or directory
% 4.31/50.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.31/50.56  eprover: No such file or directory
%------------------------------------------------------------------------------