↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU293+2 : 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 : n020.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 02:24:35 PM UTC 2026

% Result   : Theorem 129.62s 19.35s
% Output   : CNFRefutation 129.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  17 unt;   0 def)
%            Number of atoms       :  235 (  49 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  274 ( 101   ~; 106   |;  43   &)
%                                         (  10 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  108 (   6 sgn  62   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t46_funct_2,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( relation_of2_as_subset(X4,X1,X2)
        & quasi_total(X4,X1,X2)
        & function(X4) )
     => ( X2 != empty_set
       => ! [X5] :
            ( in(X5,relation_inverse_image(X4,X3))
          <=> ( in(apply(X4,X5),X3)
              & in(X5,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(rc2_ordinal1,axiom,
    ? [X1] :
      ( ordinal(X1)
      & epsilon_connected(X1)
      & epsilon_transitive(X1)
      & empty(X1)
      & one_to_one(X1)
      & function(X1)
      & relation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_ordinal1) ).

fof(d1_funct_2,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => ( ( X2 = empty_set
         => ( ( quasi_total(X3,X1,X2)
            <=> X3 = empty_set )
            | X1 = empty_set ) )
        & ( ( X2 = empty_set
           => X1 = empty_set )
         => ( quasi_total(X3,X1,X2)
          <=> X1 = relation_dom_as_subset(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
    <=> relation_of2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(redefinition_k4_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2(X3,X1,X2)
     => relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(d13_funct_1,axiom,
    ! [X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2,X3] :
          ( X3 = relation_inverse_image(X1,X2)
        <=> ! [X4] :
              ( in(X4,X3)
            <=> ( in(apply(X1,X4),X2)
                & in(X4,relation_dom(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( element(X3,powerset(cartesian_product2(X1,X2)))
     => relation(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(d1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2(X3,X1,X2)
    <=> subset(X3,cartesian_product2(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( relation_of2_as_subset(X4,X1,X2)
          & quasi_total(X4,X1,X2)
          & function(X4) )
       => ( X2 != empty_set
         => ! [X5] :
              ( in(X5,relation_inverse_image(X4,X3))
            <=> ( in(apply(X4,X5),X3)
                & in(X5,X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[t46_funct_2]) ).

fof(c_0_11,plain,
    ! [X1198] :
      ( X1198 = empty_set
      | ~ empty(X1198) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).

fof(c_0_12,plain,
    ( ordinal(esk111_0)
    & epsilon_connected(esk111_0)
    & epsilon_transitive(esk111_0)
    & empty(esk111_0)
    & one_to_one(esk111_0)
    & function(esk111_0)
    & relation(esk111_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_ordinal1])]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( relation_of2_as_subset(X4,X1,X2)
          & quasi_total(X4,X1,X2)
          & function(X4) )
       => ( X2 != empty_set
         => ! [X5] :
              ( in(X5,relation_inverse_image(X4,X3))
            <=> ( in(apply(X4,X5),X3)
                & in(X5,X1) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X134,X135,X136] :
      ( ( ~ relation_of2_as_subset(X136,X134,X135)
        | X135 != empty_set
        | X134 = empty_set
        | quasi_total(X136,X134,X135)
        | X136 != empty_set )
      & ( ~ relation_of2_as_subset(X136,X134,X135)
        | X135 != empty_set
        | X134 = empty_set
        | X136 = empty_set
        | ~ quasi_total(X136,X134,X135) )
      & ( ~ relation_of2_as_subset(X136,X134,X135)
        | X134 != empty_set
        | quasi_total(X136,X134,X135)
        | X134 != relation_dom_as_subset(X134,X135,X136) )
      & ( ~ relation_of2_as_subset(X136,X134,X135)
        | X134 != empty_set
        | X134 = relation_dom_as_subset(X134,X135,X136)
        | ~ quasi_total(X136,X134,X135) )
      & ( ~ relation_of2_as_subset(X136,X134,X135)
        | X135 = empty_set
        | quasi_total(X136,X134,X135)
        | X134 != relation_dom_as_subset(X134,X135,X136) )
      & ( ~ relation_of2_as_subset(X136,X134,X135)
        | X135 = empty_set
        | X134 = relation_dom_as_subset(X134,X135,X136)
        | ~ quasi_total(X136,X134,X135) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])]) ).

cnf(c_0_15,plain,
    ( ~ empty(X1)
    | X1 = empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    empty(esk111_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,negated_conjecture,
    ( ( in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
      | in(apply(esk247_0,esk248_0),esk246_0) )
    & ( in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
      | in(esk248_0,esk244_0) )
    & ( ~ in(apply(esk247_0,esk248_0),esk246_0)
      | ~ in(esk248_0,esk244_0)
      | ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) )
    & esk245_0 != empty_set
    & relation_of2_as_subset(esk247_0,esk244_0,esk245_0)
    & quasi_total(esk247_0,esk244_0,esk245_0)
    & function(esk247_0) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

cnf(c_0_18,plain,
    ( ~ relation_of2_as_subset(X1,X2,X3)
    | ~ quasi_total(X1,X2,X3)
    | X3 = empty_set
    | X2 = relation_dom_as_subset(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    empty_set = esk111_0,
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    esk245_0 != empty_set,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_21,plain,
    ! [X627,X628,X629] :
      ( ( relation_of2_as_subset(X629,X627,X628)
        | ~ relation_of2(X629,X627,X628) )
      & ( relation_of2(X629,X627,X628)
        | ~ relation_of2_as_subset(X629,X627,X628) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).

fof(c_0_22,plain,
    ! [X614,X615,X616] :
      ( relation_dom_as_subset(X614,X615,X616) = relation_dom(X616)
      | ~ relation_of2(X616,X614,X615) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).

cnf(c_0_23,plain,
    ( ~ relation_of2_as_subset(X3,X1,X2)
    | ~ quasi_total(X3,X1,X2)
    | X2 = esk111_0
    | relation_dom_as_subset(X1,X2,X3) = X1 ),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    quasi_total(esk247_0,esk244_0,esk245_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    relation_of2_as_subset(esk247_0,esk244_0,esk245_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    esk245_0 != esk111_0,
    inference(rw,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_27,plain,
    ( ~ relation_of2_as_subset(X1,X2,X3)
    | relation_of2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_28,plain,
    ! [X81,X82,X83,X84,X85,X86,X87] :
      ( ( ~ function(X81)
        | ~ relation(X81)
        | X87 = relation_inverse_image(X81,X86)
        | in(esk10_3(X81,X86,X87),X87)
        | in(apply(X81,esk10_3(X81,X86,X87)),X86) )
      & ( ~ function(X81)
        | ~ relation(X81)
        | X87 = relation_inverse_image(X81,X86)
        | in(esk10_3(X81,X86,X87),X87)
        | in(esk10_3(X81,X86,X87),relation_dom(X81)) )
      & ( ~ function(X81)
        | ~ relation(X81)
        | X87 = relation_inverse_image(X81,X86)
        | ~ in(apply(X81,esk10_3(X81,X86,X87)),X86)
        | ~ in(esk10_3(X81,X86,X87),relation_dom(X81))
        | ~ in(esk10_3(X81,X86,X87),X87) )
      & ( ~ function(X81)
        | ~ relation(X81)
        | X83 != relation_inverse_image(X81,X82)
        | in(X85,X83)
        | ~ in(apply(X81,X85),X82)
        | ~ in(X85,relation_dom(X81)) )
      & ( ~ function(X81)
        | ~ relation(X81)
        | X83 != relation_inverse_image(X81,X82)
        | ~ in(X84,X83)
        | in(apply(X81,X84),X82) )
      & ( ~ function(X81)
        | ~ relation(X81)
        | X83 != relation_inverse_image(X81,X82)
        | ~ in(X84,X83)
        | in(X84,relation_dom(X81)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_funct_1])])])])])])]) ).

cnf(c_0_29,plain,
    ( ~ relation_of2(X1,X2,X3)
    | relation_dom_as_subset(X2,X3,X1) = relation_dom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    relation_dom_as_subset(esk244_0,esk245_0,esk247_0) = esk244_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    relation_of2(esk247_0,esk244_0,esk245_0),
    inference(spm,[status(thm)],[c_0_27,c_0_25]) ).

cnf(c_0_32,plain,
    ( ~ function(X1)
    | ~ relation(X1)
    | X4 != relation_inverse_image(X1,X3)
    | ~ in(X2,X4)
    | in(apply(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( ~ function(X2)
    | ~ relation(X2)
    | X3 != relation_inverse_image(X2,X4)
    | ~ in(X1,X3)
    | in(X1,relation_dom(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
    | in(esk248_0,esk244_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_35,negated_conjecture,
    esk244_0 = relation_dom(esk247_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

fof(c_0_36,plain,
    ! [X26,X27,X28] :
      ( relation(X28)
      | ~ element(X28,powerset(cartesian_product2(X26,X27))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).

fof(c_0_37,plain,
    ! [X1089,X1090] :
      ( ( element(X1089,powerset(X1090))
        | ~ subset(X1089,X1090) )
      & ( subset(X1089,X1090)
        | ~ element(X1089,powerset(X1090)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).

fof(c_0_38,plain,
    ! [X160,X161,X162] :
      ( ( relation_of2(X162,X160,X161)
        | ~ subset(X162,cartesian_product2(X160,X161)) )
      & ( subset(X162,cartesian_product2(X160,X161))
        | ~ relation_of2(X162,X160,X161) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])]) ).

cnf(c_0_39,plain,
    ( ~ function(X2)
    | ~ relation(X2)
    | X4 != relation_inverse_image(X2,X3)
    | ~ in(apply(X2,X1),X3)
    | ~ in(X1,relation_dom(X2))
    | in(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    ( ~ in(X2,relation_inverse_image(X1,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | in(apply(X1,X2),X3) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
    | in(apply(esk247_0,esk248_0),esk246_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_42,negated_conjecture,
    function(esk247_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_43,plain,
    ( ~ in(X1,relation_inverse_image(X2,X3))
    | ~ function(X2)
    | ~ relation(X2)
    | in(X1,relation_dom(X2)) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    ( in(esk248_0,relation_dom(esk247_0))
    | in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_45,plain,
    ( ~ element(X1,powerset(cartesian_product2(X2,X3)))
    | relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    ( ~ subset(X1,X2)
    | element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,plain,
    ( ~ relation_of2(X1,X2,X3)
    | subset(X1,cartesian_product2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    relation_of2(esk247_0,relation_dom(esk247_0),esk245_0),
    inference(rw,[status(thm)],[c_0_31,c_0_35]) ).

cnf(c_0_49,plain,
    ( ~ in(X1,relation_dom(X2))
    | ~ in(apply(X2,X1),X3)
    | ~ function(X2)
    | ~ relation(X2)
    | in(X1,relation_inverse_image(X2,X3)) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ relation(esk247_0)
    | in(apply(esk247_0,esk248_0),esk246_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ relation(esk247_0)
    | in(esk248_0,relation_dom(esk247_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42])]) ).

cnf(c_0_52,plain,
    ( ~ subset(X1,cartesian_product2(X2,X3))
    | relation(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    subset(esk247_0,cartesian_product2(relation_dom(esk247_0),esk245_0)),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ in(apply(esk247_0,esk248_0),esk246_0)
    | ~ in(esk248_0,esk244_0)
    | ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ relation(esk247_0)
    | in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42])]),c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    relation(esk247_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ in(esk248_0,relation_dom(esk247_0))
    | ~ in(apply(esk247_0,esk248_0),esk246_0)
    | ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
    inference(rw,[status(thm)],[c_0_54,c_0_35]) ).

cnf(c_0_58,negated_conjecture,
    in(esk248_0,relation_inverse_image(esk247_0,esk246_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_59,negated_conjecture,
    in(apply(esk247_0,esk248_0),esk246_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_56])]) ).

cnf(c_0_60,negated_conjecture,
    in(esk248_0,relation_dom(esk247_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_56])]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),c_0_59]),c_0_60])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU293+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n020.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 06:09:18 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 129.62/19.35  % Version: 3.5.1
% 129.62/19.35  % Preprocessing class: FSLSSMSSSSSNFFN.
% 129.62/19.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.62/19.35  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 129.62/19.35  % Starting new_bool_3 with 300s (1) cores
% 129.62/19.35  % Starting new_bool_1 with 300s (1) cores
% 129.62/19.35  % Starting sh5l with 300s (1) cores
% 129.62/19.35  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2171570 completed with status 0
% 129.62/19.35  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 129.62/19.35  % Preprocessing class: FSLSSMSSSSSNFFN.
% 129.62/19.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.62/19.35  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 129.62/19.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 129.62/19.35  % No SInE strategy applied
% 129.62/19.35  % Search class: FGHSM-SMLM32-MFFFFFNN
% 129.62/19.35  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 129.62/19.35  % Starting SubtermCWHack with 136s (1) cores
% 129.62/19.35  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 129.62/19.35  % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 113s (1) cores
% 129.62/19.35  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 113s (1) cores
% 129.62/19.35  % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 129.62/19.35  % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 2171607 completed with status 0
% 129.62/19.35  % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 129.62/19.35  % Preprocessing class: FSLSSMSSSSSNFFN.
% 129.62/19.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.62/19.35  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 129.62/19.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 129.62/19.35  % No SInE strategy applied
% 129.62/19.35  % Search class: FGHSM-SMLM32-MFFFFFNN
% 129.62/19.35  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 129.62/19.35  % Starting SubtermCWHack with 136s (1) cores
% 129.62/19.35  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 129.62/19.35  % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 113s (1) cores
% 129.62/19.35  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 113s (1) cores
% 129.62/19.35  % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 129.62/19.35  % Preprocessing time       : 0.031 s
% 129.62/19.35  % Presaturation interreduction done
% 129.62/19.35  
% 129.62/19.35  % Proof found!
% 129.62/19.35  % SZS status Theorem
% 129.62/19.35  % SZS output start CNFRefutation
% See solution above
% 129.62/19.35  % Parsed axioms                        : 386
% 129.62/19.35  % Removed by relevancy pruning/SinE    : 0
% 129.62/19.35  % Initial clauses                      : 1458
% 129.62/19.35  % Removed in clause preprocessing      : 35
% 129.62/19.35  % Initial clauses in saturation        : 1423
% 129.62/19.35  % Processed clauses                    : 22166
% 129.62/19.35  % ...of these trivial                  : 333
% 129.62/19.35  % ...subsumed                          : 13701
% 129.62/19.35  % ...remaining for further processing  : 8131
% 129.62/19.35  % Other redundant clauses eliminated   : 924
% 129.62/19.35  % Clauses deleted for lack of memory   : 0
% 129.62/19.35  % Backward-subsumed                    : 190
% 129.62/19.35  % Backward-rewritten                   : 399
% 129.62/19.35  % Generated clauses                    : 655752
% 129.62/19.35  % ...of the previous two non-redundant : 629824
% 129.62/19.35  % ...aggressively subsumed             : 0
% 129.62/19.35  % Contextual simplify-reflections      : 358
% 129.62/19.35  % Paramodulations                      : 654812
% 129.62/19.35  % Factorizations                       : 119
% 129.62/19.35  % NegExts                              : 0
% 129.62/19.35  % Equation resolutions                 : 931
% 129.62/19.35  % Disequality decompositions           : 0
% 129.62/19.35  % Total rewrite steps                  : 61181
% 129.62/19.35  % ...of those cached                   : 58179
% 129.62/19.35  % Propositional unsat checks           : 1
% 129.62/19.35  %    Propositional check models        : 0
% 129.62/19.35  %    Propositional check unsatisfiable : 0
% 129.62/19.35  %    Propositional clauses             : 0
% 129.62/19.35  %    Propositional clauses after purity: 0
% 129.62/19.35  %    Propositional unsat core size     : 0
% 129.62/19.35  %    Propositional preprocessing time  : 0.000
% 129.62/19.35  %    Propositional encoding time       : 0.638
% 129.62/19.35  %    Propositional solver time         : 0.319
% 129.62/19.35  %    Success case prop preproc time    : 0.000
% 129.62/19.35  %    Success case prop encoding time   : 0.000
% 129.62/19.35  %    Success case prop solver time     : 0.000
% 129.62/19.35  % Current number of processed clauses  : 5893
% 129.62/19.35  %    Positive orientable unit clauses  : 653
% 129.62/19.35  %    Positive unorientable unit clauses: 20
% 129.62/19.35  %    Negative unit clauses             : 375
% 129.62/19.35  %    Non-unit-clauses                  : 4845
% 129.62/19.35  % Current number of unprocessed clauses: 608007
% 129.62/19.35  % ...number of literals in the above   : 2850314
% 129.62/19.35  % Current number of archived formulas  : 0
% 129.62/19.35  % Current number of archived clauses   : 1910
% 129.62/19.35  % Clause-clause subsumption calls (NU) : 7296161
% 129.62/19.35  % Rec. Clause-clause subsumption calls : 3358635
% 129.62/19.35  % Non-unit clause-clause subsumptions  : 9180
% 129.62/19.35  % Unit Clause-clause subsumption calls : 471318
% 129.62/19.35  % Rewrite failures with RHS unbound    : 144
% 129.62/19.35  % BW rewrite match attempts            : 991
% 129.62/19.35  % BW rewrite match successes           : 172
% 129.62/19.35  % Condensation attempts                : 0
% 129.62/19.35  % Condensation successes               : 0
% 129.62/19.35  % Termbank termtop insertions          : 15670710
% 129.62/19.35  % Search garbage collected termcells   : 19913
% 129.62/19.35  
% 129.62/19.35  % -------------------------------------------------
% 129.62/19.35  % User time                : 17.924 s
% 129.62/19.35  % System time              : 0.548 s
% 129.62/19.35  % Total time               : 18.472 s
% 129.62/19.35  % Maximum resident set size: 7700 pages
% 129.62/19.35  
% 129.62/19.35  % -------------------------------------------------
% 129.62/19.35  % User time                : 88.880 s
% 129.62/19.35  % System time              : 2.921 s
% 129.62/19.35  % Total time               : 91.800 s
% 129.62/19.35  % Maximum resident set size: 5376 pages
% 129.62/19.35  % E exiting
%------------------------------------------------------------------------------