↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU342+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:24:46 PM UTC 2026

% Result   : Theorem 0.23s 0.60s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   56 (   8 unt;   0 def)
%            Number of atoms       :  234 (  28 equ)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  284 ( 106   ~; 111   |;  42   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-4 aty)
%            Number of variables   :   98 (   4 sgn  47   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( one_sorted_str(X1)
        & ~ empty_carrier(X1) )
     => ~ empty(the_carrier(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(dt_l1_lattices,axiom,
    ! [X1] :
      ( meet_semilatt_str(X1)
     => one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( latt_str(X1)
     => ( join_semilatt_str(X1)
        & meet_semilatt_str(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(redefinition_k1_domain_1,axiom,
    ! [X1,X2,X3,X4] :
      ( ( element(X4,X2)
        & element(X3,X1)
        & ~ empty(X2)
        & ~ empty(X1) )
     => ordered_pair_as_product_element(X1,X2,X3,X4) = ordered_pair(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_domain_1) ).

fof(fraenkel_a_1_0_filter_1,axiom,
    ! [X1,X2] :
      ( ( latt_str(X2)
        & lattice(X2)
        & ~ empty_carrier(X2) )
     => ( in(X1,a_1_0_filter_1(X2))
      <=> ? [X3,X4] :
            ( below_refl(X2,X3,X4)
            & X1 = ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X3,X4)
            & element(X4,the_carrier(X2))
            & element(X3,the_carrier(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_0_filter_1) ).

fof(t32_filter_1,conjecture,
    ! [X1] :
      ( ( latt_str(X1)
        & lattice(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))
              <=> below_refl(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_filter_1) ).

fof(d8_filter_1,axiom,
    ! [X1] :
      ( ( latt_str(X1)
        & lattice(X1)
        & ~ empty_carrier(X1) )
     => relation_of_lattice(X1) = a_1_0_filter_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_1) ).

fof(t33_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( ordered_pair(X1,X2) = ordered_pair(X3,X4)
     => ( X2 = X4
        & X1 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).

fof(c_0_8,plain,
    ! [X1] :
      ( ( one_sorted_str(X1)
        & ~ empty_carrier(X1) )
     => ~ empty(the_carrier(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).

fof(c_0_9,plain,
    ! [X63] :
      ( one_sorted_str(X63)
      | ~ meet_semilatt_str(X63) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).

fof(c_0_10,plain,
    ! [X46] :
      ( ( ~ latt_str(X46)
        | join_semilatt_str(X46) )
      & ( ~ latt_str(X46)
        | meet_semilatt_str(X46) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).

fof(c_0_11,plain,
    ! [X1,X2,X3,X4] :
      ( ( element(X4,X2)
        & element(X3,X1)
        & ~ empty(X2)
        & ~ empty(X1) )
     => ordered_pair_as_product_element(X1,X2,X3,X4) = ordered_pair(X3,X4) ),
    inference(fof_simplification,[status(thm)],[redefinition_k1_domain_1]) ).

fof(c_0_12,plain,
    ! [X1,X2] :
      ( ( latt_str(X2)
        & lattice(X2)
        & ~ empty_carrier(X2) )
     => ( in(X1,a_1_0_filter_1(X2))
      <=> ? [X3,X4] :
            ( below_refl(X2,X3,X4)
            & X1 = ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X3,X4)
            & element(X4,the_carrier(X2))
            & element(X3,the_carrier(X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[fraenkel_a_1_0_filter_1]) ).

fof(c_0_13,plain,
    ! [X41] :
      ( ~ empty(the_carrier(X41))
      | ~ one_sorted_str(X41)
      | empty_carrier(X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_14,plain,
    ( ~ meet_semilatt_str(X1)
    | one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( ~ latt_str(X1)
    | meet_semilatt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( latt_str(X1)
          & lattice(X1)
          & ~ empty_carrier(X1) )
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => ( in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))
                <=> below_refl(X1,X2,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[t32_filter_1]) ).

fof(c_0_17,plain,
    ! [X37,X38,X39,X40] :
      ( ordered_pair_as_product_element(X37,X38,X39,X40) = ordered_pair(X39,X40)
      | ~ element(X40,X38)
      | ~ element(X39,X37)
      | empty(X38)
      | empty(X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_18,plain,
    ! [X8,X9,X12,X13] :
      ( ( ~ latt_str(X9)
        | ~ lattice(X9)
        | empty_carrier(X9)
        | in(X8,a_1_0_filter_1(X9))
        | ~ below_refl(X9,X12,X13)
        | X8 != ordered_pair_as_product_element(the_carrier(X9),the_carrier(X9),X12,X13)
        | ~ element(X13,the_carrier(X9))
        | ~ element(X12,the_carrier(X9)) )
      & ( ~ latt_str(X9)
        | ~ lattice(X9)
        | empty_carrier(X9)
        | ~ in(X8,a_1_0_filter_1(X9))
        | below_refl(X9,esk4_2(X8,X9),esk5_2(X8,X9)) )
      & ( ~ latt_str(X9)
        | ~ lattice(X9)
        | empty_carrier(X9)
        | ~ in(X8,a_1_0_filter_1(X9))
        | X8 = ordered_pair_as_product_element(the_carrier(X9),the_carrier(X9),esk4_2(X8,X9),esk5_2(X8,X9)) )
      & ( ~ latt_str(X9)
        | ~ lattice(X9)
        | empty_carrier(X9)
        | ~ in(X8,a_1_0_filter_1(X9))
        | element(esk5_2(X8,X9),the_carrier(X9)) )
      & ( ~ latt_str(X9)
        | ~ lattice(X9)
        | empty_carrier(X9)
        | ~ in(X8,a_1_0_filter_1(X9))
        | element(esk4_2(X8,X9),the_carrier(X9)) ) ),
    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_12])])])])])]) ).

cnf(c_0_19,plain,
    ( ~ empty(the_carrier(X1))
    | ~ one_sorted_str(X1)
    | empty_carrier(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( ~ latt_str(X1)
    | one_sorted_str(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ( latt_str(X1)
          & lattice(X1)
          & ~ empty_carrier(X1) )
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => ( in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))
                <=> below_refl(X1,X2,X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ( latt_str(X1)
        & lattice(X1)
        & ~ empty_carrier(X1) )
     => relation_of_lattice(X1) = a_1_0_filter_1(X1) ),
    inference(fof_simplification,[status(thm)],[d8_filter_1]) ).

fof(c_0_23,plain,
    ! [X59,X60,X61,X62] :
      ( ( ordered_pair(X59,X60) != ordered_pair(X61,X62)
        | X60 = X62 )
      & ( ordered_pair(X59,X60) != ordered_pair(X61,X62)
        | X59 = X61 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])])]) ).

cnf(c_0_24,plain,
    ( ~ element(X4,X2)
    | ~ element(X3,X1)
    | ordered_pair_as_product_element(X1,X2,X3,X4) = ordered_pair(X3,X4)
    | empty(X2)
    | empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( ~ latt_str(X2)
    | ~ lattice(X2)
    | ~ in(X1,a_1_0_filter_1(X2))
    | empty_carrier(X2)
    | X1 = ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),esk4_2(X1,X2),esk5_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( ~ latt_str(X2)
    | ~ lattice(X2)
    | ~ in(X1,a_1_0_filter_1(X2))
    | empty_carrier(X2)
    | element(esk4_2(X1,X2),the_carrier(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( ~ latt_str(X2)
    | ~ lattice(X2)
    | ~ in(X1,a_1_0_filter_1(X2))
    | empty_carrier(X2)
    | element(esk5_2(X1,X2),the_carrier(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,plain,
    ( ~ latt_str(X1)
    | ~ empty(the_carrier(X1))
    | empty_carrier(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_29,negated_conjecture,
    ( ( below_refl(esk1_0,esk2_0,esk3_0)
      | in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),relation_of_lattice(esk1_0)) )
    & ( ~ below_refl(esk1_0,esk2_0,esk3_0)
      | ~ in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),relation_of_lattice(esk1_0)) )
    & element(esk3_0,the_carrier(esk1_0))
    & element(esk2_0,the_carrier(esk1_0))
    & latt_str(esk1_0)
    & lattice(esk1_0)
    & ~ empty_carrier(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).

fof(c_0_30,plain,
    ! [X31] :
      ( relation_of_lattice(X31) = a_1_0_filter_1(X31)
      | ~ latt_str(X31)
      | ~ lattice(X31)
      | empty_carrier(X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

cnf(c_0_31,plain,
    ( ordered_pair(X3,X1) != ordered_pair(X4,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,plain,
    ( ~ in(X1,a_1_0_filter_1(X2))
    | ~ latt_str(X2)
    | ~ lattice(X2)
    | empty_carrier(X2)
    | ordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)) = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( below_refl(esk1_0,esk2_0,esk3_0)
    | in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),relation_of_lattice(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    ( ~ latt_str(X1)
    | ~ lattice(X1)
    | relation_of_lattice(X1) = a_1_0_filter_1(X1)
    | empty_carrier(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    lattice(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    latt_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ~ empty_carrier(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ below_refl(esk1_0,esk2_0,esk3_0)
    | ~ in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),relation_of_lattice(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ( ~ latt_str(X2)
    | ~ lattice(X2)
    | ~ below_refl(X2,X1,X3)
    | X4 != ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X1,X3)
    | ~ element(X3,the_carrier(X2))
    | ~ element(X1,the_carrier(X2))
    | empty_carrier(X2)
    | in(X4,a_1_0_filter_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_40,plain,
    ( ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ in(X2,a_1_0_filter_1(X1))
    | empty_carrier(X1)
    | below_refl(X1,esk4_2(X2,X1),esk5_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_41,plain,
    ( ~ in(ordered_pair(X1,X2),a_1_0_filter_1(X3))
    | ~ latt_str(X3)
    | ~ lattice(X3)
    | empty_carrier(X3)
    | esk5_2(ordered_pair(X1,X2),X3) = X2 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_42,plain,
    ( ordered_pair(X1,X3) != ordered_pair(X2,X4)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_43,negated_conjecture,
    ( in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),a_1_0_filter_1(esk1_0))
    | below_refl(esk1_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    element(esk3_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_45,negated_conjecture,
    element(esk2_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ in(ordered_pair_as_product_element(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0,esk3_0),a_1_0_filter_1(esk1_0))
    | ~ below_refl(esk1_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).

cnf(c_0_47,plain,
    ( ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ below_refl(X1,X2,X3)
    | in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),a_1_0_filter_1(X1))
    | empty_carrier(X1) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    ( ~ in(ordered_pair(X2,X3),a_1_0_filter_1(X1))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | empty_carrier(X1)
    | below_refl(X1,esk4_2(ordered_pair(X2,X3),X1),X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,plain,
    ( ~ in(ordered_pair(X1,X2),a_1_0_filter_1(X3))
    | ~ latt_str(X3)
    | ~ lattice(X3)
    | empty_carrier(X3)
    | esk4_2(ordered_pair(X1,X2),X3) = X1 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32])]) ).

cnf(c_0_50,negated_conjecture,
    ( in(ordered_pair(esk2_0,esk3_0),a_1_0_filter_1(esk1_0))
    | empty(the_carrier(esk1_0))
    | below_refl(esk1_0,esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_44]),c_0_45])]) ).

cnf(c_0_51,negated_conjecture,
    ~ below_refl(esk1_0,esk2_0,esk3_0),
    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_46,c_0_47]),c_0_44]),c_0_45]),c_0_35]),c_0_36])]),c_0_37]) ).

cnf(c_0_52,plain,
    ( ~ in(ordered_pair(X2,X3),a_1_0_filter_1(X1))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | empty_carrier(X1)
    | below_refl(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( in(ordered_pair(esk2_0,esk3_0),a_1_0_filter_1(esk1_0))
    | empty(the_carrier(esk1_0)) ),
    inference(sr,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    empty(the_carrier(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_35]),c_0_36])]),c_0_51]),c_0_37]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_54]),c_0_36])]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU342+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n026.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 21 06:16:37 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.23/0.60  % Version: 3.5.1
% 0.23/0.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.60  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.60  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.60  % Starting sh5l with 300s (1) cores
% 0.23/0.60  % sh5l with pid 1541897 completed with status 0
% 0.23/0.60  % Result found by sh5l
% 0.23/0.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.60  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.60  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.60  % Starting sh5l with 300s (1) cores
% 0.23/0.60  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.60  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.60  % Search class: FGHSS-FFMM31-SFFFFFNN
% 0.23/0.60  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.60  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.60  % SubtermCWHack with pid 1541905 completed with status 0
% 0.23/0.60  % Result found by SubtermCWHack
% 0.23/0.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.60  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.60  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.60  % Starting sh5l with 300s (1) cores
% 0.23/0.60  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.60  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.60  % Search class: FGHSS-FFMM31-SFFFFFNN
% 0.23/0.60  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.60  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.60  % Preprocessing time       : 0.002 s
% 0.23/0.60  
% 0.23/0.60  % Proof found!
% 0.23/0.60  % SZS status Theorem
% 0.23/0.60  % SZS output start CNFRefutation
% See solution above
% 0.23/0.60  % Parsed axioms                        : 44
% 0.23/0.60  % Removed by relevancy pruning/SinE    : 10
% 0.23/0.60  % Initial clauses                      : 56
% 0.23/0.60  % Removed in clause preprocessing      : 2
% 0.23/0.60  % Initial clauses in saturation        : 54
% 0.23/0.60  % Processed clauses                    : 364
% 0.23/0.60  % ...of these trivial                  : 60
% 0.23/0.60  % ...subsumed                          : 113
% 0.23/0.60  % ...remaining for further processing  : 191
% 0.23/0.60  % Other redundant clauses eliminated   : 5
% 0.23/0.60  % Clauses deleted for lack of memory   : 0
% 0.23/0.60  % Backward-subsumed                    : 26
% 0.23/0.60  % Backward-rewritten                   : 8
% 0.23/0.60  % Generated clauses                    : 1006
% 0.23/0.60  % ...of the previous two non-redundant : 911
% 0.23/0.60  % ...aggressively subsumed             : 0
% 0.23/0.60  % Contextual simplify-reflections      : 12
% 0.23/0.60  % Paramodulations                      : 987
% 0.23/0.60  % Factorizations                       : 4
% 0.23/0.60  % NegExts                              : 0
% 0.23/0.60  % Equation resolutions                 : 7
% 0.23/0.60  % Disequality decompositions           : 0
% 0.23/0.60  % Total rewrite steps                  : 352
% 0.23/0.60  % ...of those cached                   : 267
% 0.23/0.60  % Propositional unsat checks           : 0
% 0.23/0.60  %    Propositional check models        : 0
% 0.23/0.60  %    Propositional check unsatisfiable : 0
% 0.23/0.60  %    Propositional clauses             : 0
% 0.23/0.60  %    Propositional clauses after purity: 0
% 0.23/0.60  %    Propositional unsat core size     : 0
% 0.23/0.60  %    Propositional preprocessing time  : 0.000
% 0.23/0.60  %    Propositional encoding time       : 0.000
% 0.23/0.60  %    Propositional solver time         : 0.000
% 0.23/0.60  %    Success case prop preproc time    : 0.000
% 0.23/0.60  %    Success case prop encoding time   : 0.000
% 0.23/0.60  %    Success case prop solver time     : 0.000
% 0.23/0.60  % Current number of processed clauses  : 148
% 0.23/0.60  %    Positive orientable unit clauses  : 42
% 0.23/0.60  %    Positive unorientable unit clauses: 1
% 0.23/0.60  %    Negative unit clauses             : 15
% 0.23/0.60  %    Non-unit-clauses                  : 90
% 0.23/0.60  % Current number of unprocessed clauses: 587
% 0.23/0.60  % ...number of literals in the above   : 922
% 0.23/0.60  % Current number of archived formulas  : 0
% 0.23/0.60  % Current number of archived clauses   : 42
% 0.23/0.60  % Clause-clause subsumption calls (NU) : 4337
% 0.23/0.60  % Rec. Clause-clause subsumption calls : 1518
% 0.23/0.60  % Non-unit clause-clause subsumptions  : 100
% 0.23/0.60  % Unit Clause-clause subsumption calls : 85
% 0.23/0.60  % Rewrite failures with RHS unbound    : 0
% 0.23/0.60  % BW rewrite match attempts            : 23
% 0.23/0.60  % BW rewrite match successes           : 3
% 0.23/0.60  % Condensation attempts                : 0
% 0.23/0.60  % Condensation successes               : 0
% 0.23/0.60  % Termbank termtop insertions          : 32108
% 0.23/0.60  % Search garbage collected termcells   : 798
% 0.23/0.60  
% 0.23/0.60  % -------------------------------------------------
% 0.23/0.60  % User time                : 0.050 s
% 0.23/0.60  % System time              : 0.007 s
% 0.23/0.60  % Total time               : 0.056 s
% 0.23/0.60  % Maximum resident set size: 3672 pages
% 0.23/0.60  
% 0.23/0.60  % -------------------------------------------------
% 0.23/0.60  % User time                : 0.054 s
% 0.23/0.60  % System time              : 0.012 s
% 0.23/0.60  % Total time               : 0.066 s
% 0.23/0.60  % Maximum resident set size: 4608 pages
% 0.23/0.60  % E exiting
%------------------------------------------------------------------------------