TSTP Solution File: SEU417+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU417+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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  : 300s
% DateTime : Tue May 21 03:27:09 EDT 2024

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  20 unt;   0 def)
%            Number of atoms       :  133 (  22 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  141 (  63   ~;  53   |;   8   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :  116 (   9 sgn  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t7_relset_2,conjecture,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
         => r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).

fof(t8_mssubfam,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
         => ! [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
             => ( X2 = k4_subset_1(k1_zfmisc_1(X1),X3,X4)
               => k8_setfam_1(X1,X2) = k5_subset_1(X1,k8_setfam_1(X1,X3),k8_setfam_1(X1,X4)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_mssubfam) ).

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/theBenchmark.p',dt_k4_subset_1) ).

fof(t59_setfam_1,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
         => ( r1_tarski(X2,X3)
           => r1_tarski(k8_setfam_1(X1,X3),k8_setfam_1(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(redefinition_k1_relset_2,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
        & m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
     => k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).

fof(dt_k5_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(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).

fof(redefinition_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).

fof(t29_xboole_1,axiom,
    ! [X1,X2,X3] : r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_xboole_1) ).

fof(idempotence_k3_xboole_0,axiom,
    ! [X1,X2] : k3_xboole_0(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).

fof(commutativity_k2_xboole_0,axiom,
    ! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(redefinition_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) = k2_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1,X2] :
        ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
       => ! [X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
           => r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
    inference(assume_negation,[status(cth)],[t7_relset_2]) ).

fof(c_0_13,plain,
    ! [X95,X96,X97,X98] :
      ( ~ m1_subset_1(X96,k1_zfmisc_1(k1_zfmisc_1(X95)))
      | ~ m1_subset_1(X97,k1_zfmisc_1(k1_zfmisc_1(X95)))
      | ~ m1_subset_1(X98,k1_zfmisc_1(k1_zfmisc_1(X95)))
      | X96 != k4_subset_1(k1_zfmisc_1(X95),X97,X98)
      | k8_setfam_1(X95,X96) = k5_subset_1(X95,k8_setfam_1(X95,X97),k8_setfam_1(X95,X98)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_mssubfam])])])]) ).

fof(c_0_14,plain,
    ! [X27,X28,X29] :
      ( ~ m1_subset_1(X28,k1_zfmisc_1(X27))
      | ~ m1_subset_1(X29,k1_zfmisc_1(X27))
      | m1_subset_1(k4_subset_1(X27,X28,X29),k1_zfmisc_1(X27)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])])]) ).

fof(c_0_15,negated_conjecture,
    ( m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    & m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    & ~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

cnf(c_0_16,plain,
    ( k8_setfam_1(X2,X1) = k5_subset_1(X2,k8_setfam_1(X2,X3),k8_setfam_1(X2,X4))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | X1 != k4_subset_1(k1_zfmisc_1(X2),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( m1_subset_1(k4_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    ( k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)) = k8_setfam_1(X1,k4_subset_1(k1_zfmisc_1(X1),X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,plain,
    ! [X84,X85,X86] :
      ( ~ m1_subset_1(X85,k1_zfmisc_1(k1_zfmisc_1(X84)))
      | ~ m1_subset_1(X86,k1_zfmisc_1(k1_zfmisc_1(X84)))
      | ~ r1_tarski(X85,X86)
      | r1_tarski(k8_setfam_1(X84,X86),k8_setfam_1(X84,X85)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t59_setfam_1])])])]) ).

cnf(c_0_23,negated_conjecture,
    ~ r1_tarski(k8_setfam_1(esk1_0,k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
    inference(cn,[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])]) ).

cnf(c_0_24,plain,
    ( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ r1_tarski(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_25,plain,
    ! [X79,X80] :
      ( ( ~ m1_subset_1(X79,k1_zfmisc_1(X80))
        | r1_tarski(X79,X80) )
      & ( ~ r1_tarski(X79,X80)
        | m1_subset_1(X79,k1_zfmisc_1(X80)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ r1_tarski(k1_relset_2(esk1_0,esk2_0,esk3_0),k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0))
    | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    | ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X60,X61,X62] :
      ( ~ m1_subset_1(X61,k1_zfmisc_1(k1_zfmisc_1(X60)))
      | ~ m1_subset_1(X62,k1_zfmisc_1(k1_zfmisc_1(X60)))
      | k1_relset_2(X60,X61,X62) = k3_xboole_0(X61,X62) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_2])])]) ).

fof(c_0_29,plain,
    ! [X30,X31,X32] :
      ( ~ m1_subset_1(X31,k1_zfmisc_1(X30))
      | ~ m1_subset_1(X32,k1_zfmisc_1(X30))
      | m1_subset_1(k5_subset_1(X30,X31,X32),k1_zfmisc_1(X30)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])])]) ).

fof(c_0_30,plain,
    ! [X66,X67,X68] :
      ( ~ m1_subset_1(X67,k1_zfmisc_1(X66))
      | ~ m1_subset_1(X68,k1_zfmisc_1(X66))
      | k5_subset_1(X66,X67,X68) = k3_xboole_0(X67,X68) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).

fof(c_0_31,plain,
    ! [X73,X74,X75] : r1_tarski(k3_xboole_0(X73,X74),k2_xboole_0(X73,X75)),
    inference(variable_rename,[status(thm)],[t29_xboole_1]) ).

fof(c_0_32,plain,
    ! [X46] : k3_xboole_0(X46,X46) = X46,
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    | ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,plain,
    ( k1_relset_2(X2,X1,X3) = k3_xboole_0(X1,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    ( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,plain,
    k3_xboole_0(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_39,plain,
    ! [X14,X15] : k2_xboole_0(X14,X15) = k2_xboole_0(X15,X14),
    inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    | ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_20]),c_0_21])]) ).

cnf(c_0_41,plain,
    ( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,plain,
    r1_tarski(X1,k2_xboole_0(X1,X2)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(esk2_0,k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_46,plain,
    ! [X63,X64,X65] :
      ( ~ m1_subset_1(X64,k1_zfmisc_1(X63))
      | ~ m1_subset_1(X65,k1_zfmisc_1(X63))
      | k4_subset_1(X63,X64,X65) = k2_xboole_0(X64,X65) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])])]) ).

cnf(c_0_47,plain,
    r1_tarski(X1,k2_xboole_0(X2,X1)),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(k2_xboole_0(X1,X3))),
    inference(spm,[status(thm)],[c_0_44,c_0_37]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(esk2_0,k1_zfmisc_1(k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)))
    | ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_17]),c_0_20]),c_0_21])]) ).

cnf(c_0_50,plain,
    ( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,plain,
    m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X2,X1))),
    inference(spm,[status(thm)],[c_0_44,c_0_47]) ).

cnf(c_0_52,plain,
    m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X1,X2))),
    inference(spm,[status(thm)],[c_0_48,c_0_38]) ).

cnf(c_0_53,negated_conjecture,
    ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_20]),c_0_21])]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_41]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU417+1 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun May 19 17:11:23 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 0.19/0.50  # Version: 3.1.0
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12517 completed with status 0
% 0.19/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # No SInE strategy applied
% 0.19/0.50  # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.19/0.50  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50  # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.19/0.50  # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.50  # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.19/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12524 completed with status 0
% 0.19/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # No SInE strategy applied
% 0.19/0.50  # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.19/0.50  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50  # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.001 s
% 0.19/0.50  # Presaturation interreduction done
% 0.19/0.50  
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Theorem
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 50
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.50  # Initial clauses                      : 61
% 0.19/0.50  # Removed in clause preprocessing      : 5
% 0.19/0.50  # Initial clauses in saturation        : 56
% 0.19/0.50  # Processed clauses                    : 533
% 0.19/0.50  # ...of these trivial                  : 26
% 0.19/0.50  # ...subsumed                          : 226
% 0.19/0.50  # ...remaining for further processing  : 281
% 0.19/0.50  # Other redundant clauses eliminated   : 1
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 32
% 0.19/0.50  # Backward-rewritten                   : 3
% 0.19/0.50  # Generated clauses                    : 823
% 0.19/0.50  # ...of the previous two non-redundant : 622
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 1
% 0.19/0.50  # Paramodulations                      : 815
% 0.19/0.50  # Factorizations                       : 0
% 0.19/0.50  # NegExts                              : 0
% 0.19/0.50  # Equation resolutions                 : 1
% 0.19/0.50  # Disequality decompositions           : 0
% 0.19/0.50  # Total rewrite steps                  : 393
% 0.19/0.50  # ...of those cached                   : 303
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 184
% 0.19/0.50  #    Positive orientable unit clauses  : 51
% 0.19/0.50  #    Positive unorientable unit clauses: 2
% 0.19/0.50  #    Negative unit clauses             : 32
% 0.19/0.50  #    Non-unit-clauses                  : 99
% 0.19/0.50  # Current number of unprocessed clauses: 162
% 0.19/0.50  # ...number of literals in the above   : 460
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 96
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 2076
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 1515
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 110
% 0.19/0.50  # Unit Clause-clause subsumption calls : 389
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 66
% 0.19/0.50  # BW rewrite match successes           : 27
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 13104
% 0.19/0.50  # Search garbage collected termcells   : 579
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.027 s
% 0.19/0.50  # System time              : 0.002 s
% 0.19/0.50  # Total time               : 0.029 s
% 0.19/0.50  # Maximum resident set size: 1872 pages
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.111 s
% 0.19/0.50  # System time              : 0.014 s
% 0.19/0.50  # Total time               : 0.126 s
% 0.19/0.50  # Maximum resident set size: 1752 pages
% 0.19/0.50  % E---3.1 exiting
% 0.19/0.50  % E exiting
%------------------------------------------------------------------------------