TSTP Solution File: GRP639+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP639+1 : 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 20:50:20 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (  15 unt;   0 def)
%            Number of atoms       :  237 (  12 equ)
%            Maximal formula atoms :   61 (   5 avg)
%            Number of connectives :  301 ( 108   ~; 106   |;  59   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   86 (   4 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t12_latsubgr,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
                 => r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(redefinition_k2_funct_2,axiom,
    ! [X1,X2,X3,X4] :
      ( ( v1_funct_1(X3)
        & v1_funct_2(X3,X1,X2)
        & m1_relset_1(X3,X1,X2) )
     => k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(d5_group_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ! [X3] :
              ( ( v1_group_1(X3)
                & m1_group_2(X3,X1) )
             => ( X3 = k5_group_4(X1,X2)
              <=> ( r1_tarski(X2,u1_struct_0(X3))
                  & ! [X4] :
                      ( ( v1_group_1(X4)
                        & m1_group_2(X4,X1) )
                     => ( r1_tarski(X2,u1_struct_0(X4))
                       => m1_group_2(X3,X4) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).

fof(dt_k5_group_4,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => ( v1_group_1(k5_group_4(X1,X2))
        & m1_group_2(k5_group_4(X1,X2),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).

fof(t156_relat_1,axiom,
    ! [X1,X2,X3] :
      ( v1_relat_1(X3)
     => ( r1_tarski(X1,X2)
       => r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_group_1(X2)
              & v4_group_1(X2)
              & l1_group_1(X2) )
           => ! [X3] :
                ( ( v1_funct_1(X3)
                  & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                  & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
                   => r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_latsubgr])]) ).

fof(c_0_9,plain,
    ! [X83,X84,X85] :
      ( ( ~ m2_relset_1(X85,X83,X84)
        | m1_relset_1(X85,X83,X84) )
      & ( ~ m1_relset_1(X85,X83,X84)
        | m2_relset_1(X85,X83,X84) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).

fof(c_0_10,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_group_1(esk1_0)
    & v4_group_1(esk1_0)
    & l1_group_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_group_1(esk2_0)
    & v4_group_1(esk2_0)
    & l1_group_1(esk2_0)
    & v1_funct_1(esk3_0)
    & v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_11,plain,
    ! [X79,X80,X81,X82] :
      ( ~ v1_funct_1(X81)
      | ~ v1_funct_2(X81,X79,X80)
      | ~ m1_relset_1(X81,X79,X80)
      | k2_funct_2(X79,X80,X81,X82) = k9_relat_1(X81,X82) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])])]) ).

cnf(c_0_12,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X15,X16,X17] :
      ( ~ m1_subset_1(X17,k1_zfmisc_1(k2_zfmisc_1(X15,X16)))
      | v1_relat_1(X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).

fof(c_0_15,plain,
    ! [X40,X41,X42] :
      ( ~ m2_relset_1(X42,X40,X41)
      | m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).

cnf(c_0_16,negated_conjecture,
    ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    v1_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_21,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,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_15]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ! [X3] :
              ( ( v1_group_1(X3)
                & m1_group_2(X3,X1) )
             => ( X3 = k5_group_4(X1,X2)
              <=> ( r1_tarski(X2,u1_struct_0(X3))
                  & ! [X4] :
                      ( ( v1_group_1(X4)
                        & m1_group_2(X4,X1) )
                     => ( r1_tarski(X2,u1_struct_0(X4))
                       => m1_group_2(X3,X4) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d5_group_4]) ).

fof(c_0_24,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => ( v1_group_1(k5_group_4(X1,X2))
        & m1_group_2(k5_group_4(X1,X2),X1) ) ),
    inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).

cnf(c_0_25,negated_conjecture,
    ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20])]) ).

fof(c_0_26,plain,
    ! [X87,X88,X89] :
      ( ~ v1_relat_1(X89)
      | ~ r1_tarski(X87,X88)
      | r1_tarski(k9_relat_1(X89,X87),k9_relat_1(X89,X88)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])])]) ).

cnf(c_0_27,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_28,plain,
    ! [X24,X25,X26,X27] :
      ( ( r1_tarski(X25,u1_struct_0(X26))
        | X26 != k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) )
      & ( ~ v1_group_1(X27)
        | ~ m1_group_2(X27,X24)
        | ~ r1_tarski(X25,u1_struct_0(X27))
        | m1_group_2(X26,X27)
        | X26 != k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) )
      & ( v1_group_1(esk5_3(X24,X25,X26))
        | ~ r1_tarski(X25,u1_struct_0(X26))
        | X26 = k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) )
      & ( m1_group_2(esk5_3(X24,X25,X26),X24)
        | ~ r1_tarski(X25,u1_struct_0(X26))
        | X26 = k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) )
      & ( r1_tarski(X25,u1_struct_0(esk5_3(X24,X25,X26)))
        | ~ r1_tarski(X25,u1_struct_0(X26))
        | X26 = k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) )
      & ( ~ m1_group_2(X26,esk5_3(X24,X25,X26))
        | ~ r1_tarski(X25,u1_struct_0(X26))
        | X26 = k5_group_4(X24,X25)
        | ~ v1_group_1(X26)
        | ~ m1_group_2(X26,X24)
        | ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
        | v3_struct_0(X24)
        | ~ v3_group_1(X24)
        | ~ v4_group_1(X24)
        | ~ l1_group_1(X24) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])]) ).

fof(c_0_29,plain,
    ! [X35,X36] :
      ( ( v1_group_1(k5_group_4(X35,X36))
        | v3_struct_0(X35)
        | ~ v3_group_1(X35)
        | ~ v4_group_1(X35)
        | ~ l1_group_1(X35)
        | ~ m1_subset_1(X36,k1_zfmisc_1(u1_struct_0(X35))) )
      & ( m1_group_2(k5_group_4(X35,X36),X35)
        | v3_struct_0(X35)
        | ~ v3_group_1(X35)
        | ~ v4_group_1(X35)
        | ~ l1_group_1(X35)
        | ~ m1_subset_1(X36,k1_zfmisc_1(u1_struct_0(X35))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).

cnf(c_0_30,negated_conjecture,
    ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_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_25,c_0_17]),c_0_20]),c_0_18]),c_0_19])]) ).

cnf(c_0_31,plain,
    ( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    v1_relat_1(esk3_0),
    inference(spm,[status(thm)],[c_0_27,c_0_13]) ).

cnf(c_0_33,plain,
    ( r1_tarski(X1,u1_struct_0(X2))
    | v3_struct_0(X3)
    | X2 != k5_group_4(X3,X1)
    | ~ v1_group_1(X2)
    | ~ m1_group_2(X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    ( v1_group_1(k5_group_4(X1,X2))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,plain,
    ( m1_group_2(k5_group_4(X1,X2),X1)
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_33]),c_0_34]),c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_39,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_42,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    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(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP639+1 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 04:35:08 EDT 2024
% 0.13/0.34  % 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
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30232 completed with status 0
% 0.19/0.51  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.51  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.51  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 0.19/0.51  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 0.19/0.51  # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.19/0.51  # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 30239 completed with status 0
% 0.19/0.51  # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.19/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.51  # No SInE strategy applied
% 0.19/0.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.51  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 0.19/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.51  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 0.19/0.51  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.002 s
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 54
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.51  # Initial clauses                      : 95
% 0.19/0.51  # Removed in clause preprocessing      : 13
% 0.19/0.51  # Initial clauses in saturation        : 82
% 0.19/0.51  # Processed clauses                    : 258
% 0.19/0.51  # ...of these trivial                  : 0
% 0.19/0.51  # ...subsumed                          : 51
% 0.19/0.51  # ...remaining for further processing  : 207
% 0.19/0.51  # Other redundant clauses eliminated   : 2
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 4
% 0.19/0.51  # Backward-rewritten                   : 7
% 0.19/0.51  # Generated clauses                    : 285
% 0.19/0.51  # ...of the previous two non-redundant : 252
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 12
% 0.19/0.51  # Paramodulations                      : 272
% 0.19/0.51  # Factorizations                       : 0
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 10
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 87
% 0.19/0.51  # ...of those cached                   : 59
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 195
% 0.19/0.51  #    Positive orientable unit clauses  : 43
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 23
% 0.19/0.51  #    Non-unit-clauses                  : 129
% 0.19/0.51  # Current number of unprocessed clauses: 65
% 0.19/0.51  # ...number of literals in the above   : 287
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 11
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 4419
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 1780
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 51
% 0.19/0.51  # Unit Clause-clause subsumption calls : 405
% 0.19/0.51  # Rewrite failures with RHS unbound    : 16
% 0.19/0.51  # BW rewrite match attempts            : 21
% 0.19/0.51  # BW rewrite match successes           : 8
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 10240
% 0.19/0.51  # Search garbage collected termcells   : 1165
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.015 s
% 0.19/0.51  # System time              : 0.002 s
% 0.19/0.51  # Total time               : 0.017 s
% 0.19/0.51  # Maximum resident set size: 1936 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.105 s
% 0.19/0.51  # System time              : 0.019 s
% 0.19/0.51  # Total time               : 0.124 s
% 0.19/0.51  # Maximum resident set size: 1744 pages
% 0.19/0.51  % E---3.1 exiting
% 0.19/0.51  % E exiting
%------------------------------------------------------------------------------