TSTP Solution File: ALG222+4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG222+4 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 : Mon May 20 18:12:47 EDT 2024

% Result   : Theorem 38.22s 6.03s
% Output   : CNFRefutation 38.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (  34 unt;   0 def)
%            Number of atoms       :  467 (   6 equ)
%            Maximal formula atoms :   44 (   6 avg)
%            Number of connectives :  611 ( 212   ~; 192   |; 172   &)
%                                         (   1 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-4 aty)
%            Number of variables   :  102 (   4 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t18_rmod_5,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).

fof(t24_rmod_3,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_rmod_2(X3,X1,X2)
             => ! [X4] :
                  ( m1_rmod_2(X4,X1,X2)
                 => ! [X5] :
                      ( m1_rmod_2(X5,X1,X2)
                     => ( ( m1_rmod_2(X3,X1,X4)
                          & m1_rmod_2(X3,X1,X5) )
                       => m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+279.ax',t24_rmod_3) ).

fof(t15_rmod_5,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( r1_tarski(X3,X4)
                   => m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).

fof(dt_k1_rmod_5,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
        & m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).

fof(t1_xboole_1,axiom,
    ! [X1,X2,X3] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X2,X3) )
     => r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_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(t17_xboole_1,axiom,
    ! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t17_xboole_1) ).

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).

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/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v4_group_1(X1)
          & v7_group_1(X1)
          & v6_vectsp_1(X1)
          & v7_vectsp_1(X1)
          & v8_vectsp_1(X1)
          & ~ v10_vectsp_1(X1)
          & v2_vectsp_2(X1)
          & l3_vectsp_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_rlvect_1(X2)
              & v4_rlvect_1(X2)
              & v5_rlvect_1(X2)
              & v6_rlvect_1(X2)
              & v5_vectsp_2(X2,X1)
              & l1_vectsp_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                   => m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_rmod_5])]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_rmod_2(X3,X1,X2)
             => ! [X4] :
                  ( m1_rmod_2(X4,X1,X2)
                 => ! [X5] :
                      ( m1_rmod_2(X5,X1,X2)
                     => ( ( m1_rmod_2(X3,X1,X4)
                          & m1_rmod_2(X3,X1,X5) )
                       => m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t24_rmod_3]) ).

fof(c_0_11,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_rlvect_1(esk1_0)
    & v4_rlvect_1(esk1_0)
    & v5_rlvect_1(esk1_0)
    & v6_rlvect_1(esk1_0)
    & v4_group_1(esk1_0)
    & v7_group_1(esk1_0)
    & v6_vectsp_1(esk1_0)
    & v7_vectsp_1(esk1_0)
    & v8_vectsp_1(esk1_0)
    & ~ v10_vectsp_1(esk1_0)
    & v2_vectsp_2(esk1_0)
    & l3_vectsp_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_rlvect_1(esk2_0)
    & v4_rlvect_1(esk2_0)
    & v5_rlvect_1(esk2_0)
    & v6_rlvect_1(esk2_0)
    & v5_vectsp_2(esk2_0,esk1_0)
    & l1_vectsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).

fof(c_0_12,plain,
    ! [X178,X179,X180,X181,X182] :
      ( v3_struct_0(X178)
      | ~ v3_rlvect_1(X178)
      | ~ v4_rlvect_1(X178)
      | ~ v5_rlvect_1(X178)
      | ~ v6_rlvect_1(X178)
      | ~ v4_group_1(X178)
      | ~ v6_vectsp_1(X178)
      | ~ v7_vectsp_1(X178)
      | ~ v8_vectsp_1(X178)
      | ~ l3_vectsp_1(X178)
      | v3_struct_0(X179)
      | ~ v3_rlvect_1(X179)
      | ~ v4_rlvect_1(X179)
      | ~ v5_rlvect_1(X179)
      | ~ v6_rlvect_1(X179)
      | ~ v5_vectsp_2(X179,X178)
      | ~ l1_vectsp_2(X179,X178)
      | ~ m1_rmod_2(X180,X178,X179)
      | ~ m1_rmod_2(X181,X178,X179)
      | ~ m1_rmod_2(X182,X178,X179)
      | ~ m1_rmod_2(X180,X178,X181)
      | ~ m1_rmod_2(X180,X178,X182)
      | m1_rmod_2(X180,X178,k2_rmod_3(X178,X179,X181,X182)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( r1_tarski(X3,X4)
                   => m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t15_rmod_5]) ).

cnf(c_0_14,negated_conjecture,
    ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5))
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_2(X3,X1,X2)
    | ~ m1_rmod_2(X4,X1,X2)
    | ~ m1_rmod_2(X5,X1,X2)
    | ~ m1_rmod_2(X3,X1,X4)
    | ~ m1_rmod_2(X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    v8_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    v7_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    v6_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    l3_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_23,negated_conjecture,
    v6_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    v6_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_25,negated_conjecture,
    v5_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    v5_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_27,negated_conjecture,
    v4_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_28,negated_conjecture,
    v4_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    v3_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    v3_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_33,plain,
    ! [X253,X254,X255,X256] :
      ( v3_struct_0(X253)
      | ~ v3_rlvect_1(X253)
      | ~ v4_rlvect_1(X253)
      | ~ v5_rlvect_1(X253)
      | ~ v6_rlvect_1(X253)
      | ~ v4_group_1(X253)
      | ~ v7_group_1(X253)
      | ~ v6_vectsp_1(X253)
      | ~ v7_vectsp_1(X253)
      | ~ v8_vectsp_1(X253)
      | v10_vectsp_1(X253)
      | ~ v2_vectsp_2(X253)
      | ~ l3_vectsp_1(X253)
      | v3_struct_0(X254)
      | ~ v3_rlvect_1(X254)
      | ~ v4_rlvect_1(X254)
      | ~ v5_rlvect_1(X254)
      | ~ v6_rlvect_1(X254)
      | ~ v5_vectsp_2(X254,X253)
      | ~ l1_vectsp_2(X254,X253)
      | ~ m1_subset_1(X255,k1_zfmisc_1(u1_struct_0(X254)))
      | ~ m1_subset_1(X256,k1_zfmisc_1(u1_struct_0(X254)))
      | ~ r1_tarski(X255,X256)
      | m1_rmod_2(k1_rmod_5(X253,X254,X255),X253,k1_rmod_5(X253,X254,X256)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk4_0))
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31]),c_0_32]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | v10_vectsp_1(X1)
    | v3_struct_0(X2)
    | m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v7_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v2_vectsp_2(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ r1_tarski(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    v2_vectsp_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_37,negated_conjecture,
    v7_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_38,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_39,negated_conjecture,
    ~ v10_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_40,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
        & m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[dt_k1_rmod_5]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
    | ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_16]),c_0_17]),c_0_36]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_38])]),c_0_39]),c_0_31]),c_0_32]) ).

cnf(c_0_42,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_43,plain,
    ! [X228,X229,X230] :
      ( ( v3_vectsp_2(k1_rmod_5(X228,X229,X230),X228)
        | v3_struct_0(X228)
        | ~ v3_rlvect_1(X228)
        | ~ v4_rlvect_1(X228)
        | ~ v5_rlvect_1(X228)
        | ~ v6_rlvect_1(X228)
        | ~ v4_group_1(X228)
        | ~ v7_group_1(X228)
        | ~ v6_vectsp_1(X228)
        | ~ v7_vectsp_1(X228)
        | ~ v8_vectsp_1(X228)
        | v10_vectsp_1(X228)
        | ~ v2_vectsp_2(X228)
        | ~ l3_vectsp_1(X228)
        | v3_struct_0(X229)
        | ~ v3_rlvect_1(X229)
        | ~ v4_rlvect_1(X229)
        | ~ v5_rlvect_1(X229)
        | ~ v6_rlvect_1(X229)
        | ~ v5_vectsp_2(X229,X228)
        | ~ l1_vectsp_2(X229,X228)
        | ~ m1_subset_1(X230,k1_zfmisc_1(u1_struct_0(X229))) )
      & ( m1_rmod_2(k1_rmod_5(X228,X229,X230),X228,X229)
        | v3_struct_0(X228)
        | ~ v3_rlvect_1(X228)
        | ~ v4_rlvect_1(X228)
        | ~ v5_rlvect_1(X228)
        | ~ v6_rlvect_1(X228)
        | ~ v4_group_1(X228)
        | ~ v7_group_1(X228)
        | ~ v6_vectsp_1(X228)
        | ~ v7_vectsp_1(X228)
        | ~ v8_vectsp_1(X228)
        | v10_vectsp_1(X228)
        | ~ v2_vectsp_2(X228)
        | ~ l3_vectsp_1(X228)
        | v3_struct_0(X229)
        | ~ v3_rlvect_1(X229)
        | ~ v4_rlvect_1(X229)
        | ~ v5_rlvect_1(X229)
        | ~ v6_rlvect_1(X229)
        | ~ v5_vectsp_2(X229,X228)
        | ~ l1_vectsp_2(X229,X228)
        | ~ m1_subset_1(X230,k1_zfmisc_1(u1_struct_0(X229))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
    | ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_16]),c_0_17]),c_0_36]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_42])]),c_0_39]),c_0_31]),c_0_32]) ).

cnf(c_0_45,plain,
    ( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
    | v3_struct_0(X1)
    | v10_vectsp_1(X1)
    | v3_struct_0(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v7_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v2_vectsp_2(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_46,plain,
    ! [X499,X500,X501] :
      ( ~ r1_tarski(X499,X500)
      | ~ r1_tarski(X500,X501)
      | r1_tarski(X499,X501) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])]) ).

fof(c_0_47,plain,
    ! [X519,X520] :
      ( ( ~ m1_subset_1(X519,k1_zfmisc_1(X520))
        | r1_tarski(X519,X520) )
      & ( ~ r1_tarski(X519,X520)
        | m1_subset_1(X519,k1_zfmisc_1(X520)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
    | ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
    | ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_16]),c_0_17]),c_0_36]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_39]),c_0_31]),c_0_32]) ).

cnf(c_0_49,plain,
    ( r1_tarski(X1,X3)
    | ~ r1_tarski(X1,X2)
    | ~ r1_tarski(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_51,plain,
    ! [X801,X802] : r1_tarski(k3_xboole_0(X801,X802),X801),
    inference(variable_rename,[status(thm)],[t17_xboole_1]) ).

fof(c_0_52,plain,
    ! [X794,X795] : k3_xboole_0(X794,X795) = k3_xboole_0(X795,X794),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
    | ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_16]),c_0_17]),c_0_36]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_38])]),c_0_39]),c_0_31]),c_0_32]) ).

fof(c_0_54,plain,
    ! [X279,X280,X281] :
      ( ~ m1_subset_1(X280,k1_zfmisc_1(X279))
      | ~ m1_subset_1(X281,k1_zfmisc_1(X279))
      | k5_subset_1(X279,X280,X281) = k3_xboole_0(X280,X281) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).

cnf(c_0_55,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    r1_tarski(k3_xboole_0(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_57,plain,
    k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_16]),c_0_17]),c_0_36]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_42])]),c_0_39]),c_0_31]),c_0_32]) ).

cnf(c_0_59,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_54]) ).

cnf(c_0_60,negated_conjecture,
    ( r1_tarski(X1,u1_struct_0(esk2_0))
    | ~ r1_tarski(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_38]) ).

cnf(c_0_61,plain,
    r1_tarski(k3_xboole_0(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ r1_tarski(k3_xboole_0(esk3_0,esk4_0),esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_56]),c_0_38]),c_0_42])]) ).

cnf(c_0_63,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_64,negated_conjecture,
    r1_tarski(k3_xboole_0(X1,esk4_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_61])]) ).

cnf(c_0_66,negated_conjecture,
    m1_subset_1(k3_xboole_0(X1,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG222+4 : TPTP v8.2.0. Released v3.4.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat May 18 22:36:26 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.46  Running first-order model finding
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.22/6.03  # Version: 3.1.0
% 38.22/6.03  # Preprocessing class: FMLLSLLLSSSNFFN.
% 38.22/6.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.22/6.03  # Starting new_ho_10 with 600s (2) cores
% 38.22/6.03  # Starting sh3 with 600s (2) cores
% 38.22/6.03  # Starting ho_unfolding_3 with 600s (2) cores
% 38.22/6.03  # Starting new_ho_10_cnf2 with 600s (2) cores
% 38.22/6.03  # sh3 with pid 14595 completed with status 0
% 38.22/6.03  # Result found by sh3
% 38.22/6.03  # Preprocessing class: FMLLSLLLSSSNFFN.
% 38.22/6.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.22/6.03  # Starting new_ho_10 with 600s (2) cores
% 38.22/6.03  # Starting sh3 with 600s (2) cores
% 38.22/6.03  # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 38.22/6.03  # Search class: FGHSM-SMLM32-MFFFFFNN
% 38.22/6.03  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 38.22/6.03  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 38.22/6.03  # Starting sh3 with 61s (1) cores
% 38.22/6.03  # sh3 with pid 14599 completed with status 0
% 38.22/6.03  # Result found by sh3
% 38.22/6.03  # Preprocessing class: FMLLSLLLSSSNFFN.
% 38.22/6.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.22/6.03  # Starting new_ho_10 with 600s (2) cores
% 38.22/6.03  # Starting sh3 with 600s (2) cores
% 38.22/6.03  # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 38.22/6.03  # Search class: FGHSM-SMLM32-MFFFFFNN
% 38.22/6.03  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 38.22/6.03  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 38.22/6.03  # Starting sh3 with 61s (1) cores
% 38.22/6.03  # Preprocessing time       : 0.077 s
% 38.22/6.03  # Presaturation interreduction done
% 38.22/6.03  
% 38.22/6.03  # Proof found!
% 38.22/6.03  # SZS status Theorem
% 38.22/6.03  # SZS output start CNFRefutation
% See solution above
% 38.22/6.03  # Parsed axioms                        : 24518
% 38.22/6.03  # Removed by relevancy pruning/SinE    : 23517
% 38.22/6.03  # Initial clauses                      : 1995
% 38.22/6.03  # Removed in clause preprocessing      : 87
% 38.22/6.03  # Initial clauses in saturation        : 1908
% 38.22/6.03  # Processed clauses                    : 13058
% 38.22/6.03  # ...of these trivial                  : 118
% 38.22/6.03  # ...subsumed                          : 7343
% 38.22/6.03  # ...remaining for further processing  : 5597
% 38.22/6.03  # Other redundant clauses eliminated   : 659
% 38.22/6.03  # Clauses deleted for lack of memory   : 0
% 38.22/6.03  # Backward-subsumed                    : 93
% 38.22/6.03  # Backward-rewritten                   : 54
% 38.22/6.03  # Generated clauses                    : 83648
% 38.22/6.03  # ...of the previous two non-redundant : 74891
% 38.22/6.03  # ...aggressively subsumed             : 0
% 38.22/6.03  # Contextual simplify-reflections      : 131
% 38.22/6.03  # Paramodulations                      : 82960
% 38.22/6.03  # Factorizations                       : 19
% 38.22/6.03  # NegExts                              : 0
% 38.22/6.03  # Equation resolutions                 : 681
% 38.22/6.03  # Disequality decompositions           : 0
% 38.22/6.03  # Total rewrite steps                  : 23396
% 38.22/6.03  # ...of those cached                   : 20047
% 38.22/6.03  # Propositional unsat checks           : 1
% 38.22/6.03  #    Propositional check models        : 0
% 38.22/6.03  #    Propositional check unsatisfiable : 0
% 38.22/6.03  #    Propositional clauses             : 0
% 38.22/6.03  #    Propositional clauses after purity: 0
% 38.22/6.03  #    Propositional unsat core size     : 0
% 38.22/6.03  #    Propositional preprocessing time  : 0.000
% 38.22/6.03  #    Propositional encoding time       : 0.092
% 38.22/6.03  #    Propositional solver time         : 0.055
% 38.22/6.03  #    Success case prop preproc time    : 0.000
% 38.22/6.03  #    Success case prop encoding time   : 0.000
% 38.22/6.03  #    Success case prop solver time     : 0.000
% 38.22/6.03  # Current number of processed clauses  : 3511
% 38.22/6.03  #    Positive orientable unit clauses  : 398
% 38.22/6.03  #    Positive unorientable unit clauses: 7
% 38.22/6.03  #    Negative unit clauses             : 417
% 38.22/6.03  #    Non-unit-clauses                  : 2689
% 38.22/6.03  # Current number of unprocessed clauses: 65315
% 38.22/6.03  # ...number of literals in the above   : 395624
% 38.22/6.03  # Current number of archived formulas  : 0
% 38.22/6.03  # Current number of archived clauses   : 1947
% 38.22/6.03  # Clause-clause subsumption calls (NU) : 7766032
% 38.22/6.03  # Rec. Clause-clause subsumption calls : 396595
% 38.22/6.03  # Non-unit clause-clause subsumptions  : 2289
% 38.22/6.03  # Unit Clause-clause subsumption calls : 181187
% 38.22/6.03  # Rewrite failures with RHS unbound    : 0
% 38.22/6.03  # BW rewrite match attempts            : 477
% 38.22/6.03  # BW rewrite match successes           : 255
% 38.22/6.03  # Condensation attempts                : 0
% 38.22/6.03  # Condensation successes               : 0
% 38.22/6.03  # Termbank termtop insertions          : 2949849
% 38.22/6.03  # Search garbage collected termcells   : 265907
% 38.22/6.03  
% 38.22/6.03  # -------------------------------------------------
% 38.22/6.03  # User time                : 4.545 s
% 38.22/6.03  # System time              : 0.144 s
% 38.22/6.03  # Total time               : 4.689 s
% 38.22/6.03  # Maximum resident set size: 46496 pages
% 38.22/6.03  
% 38.22/6.03  # -------------------------------------------------
% 38.22/6.03  # User time                : 9.473 s
% 38.22/6.03  # System time              : 0.332 s
% 38.22/6.03  # Total time               : 9.804 s
% 38.22/6.03  # Maximum resident set size: 36644 pages
% 38.22/6.03  % E---3.1 exiting
%------------------------------------------------------------------------------