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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUN065+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:57:38 PM UTC 2026

% Result   : Theorem 16.28s 7.89s
% Output   : CNFRefutation 16.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   81 (  13 unt;   0 def)
%            Number of atoms       :  262 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  312 ( 131   ~; 133   |;  48   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-2 aty)
%            Number of variables   :  174 (  10 sgn  81   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(nononesexistid,conjecture,
    ? [X63] :
      ( ! [X40] :
          ( ~ r1(X40)
          | ~ id(X63,X40) )
      & ! [X46] :
          ( ~ id(X63,X46)
          | ! [X47] :
              ( ~ r2(X47,X46)
              | ~ r1(X47) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexistid) ).

fof(axiom_2,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ id(X5,X4)
        & ~ r2(X3,X5) )
      | ( r2(X3,X5)
        & id(X5,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).

fof(axiom_6,axiom,
    ! [X15,X16] :
      ( id(X16,X15)
      | ~ id(X15,X16) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).

fof(axiom_7,axiom,
    ! [X17,X18,X19] :
      ( ~ id(X18,X19)
      | id(X17,X19)
      | ~ id(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).

fof(axiom_4a,axiom,
    ! [X54] :
    ? [X55] :
      ( ? [X56] :
          ( r3(X54,X56,X55)
          & r1(X56) )
      & id(X55,X54) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

fof(axiom_9,axiom,
    ! [X22,X23,X24,X25] :
      ( ( r2(X24,X25)
        & r2(X22,X23) )
      | ( ~ r2(X24,X25)
        & ~ r2(X22,X23) )
      | ~ id(X23,X25)
      | ~ id(X22,X24) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_9) ).

fof(axiom_1,axiom,
    ? [X1] :
    ! [X2] :
      ( ( ~ id(X2,X1)
        & ~ r1(X2) )
      | ( r1(X2)
        & id(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).

fof(axiom_5,axiom,
    ! [X14] : id(X14,X14),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

fof(axiom_3a,axiom,
    ! [X50,X51] :
      ( id(X50,X51)
      | ! [X52] :
          ( ~ r2(X51,X52)
          | ! [X53] :
              ( ~ r2(X50,X53)
              | ~ id(X53,X52) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).

fof(axiom_7a,axiom,
    ! [X65,X66] :
      ( ~ r2(X65,X66)
      | ! [X67] :
          ( ~ r1(X67)
          | ~ id(X67,X66) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

fof(axiom_2a,axiom,
    ! [X44,X45] :
    ? [X46] :
      ( ? [X49] :
          ( r4(X44,X45,X49)
          & r3(X49,X44,X46) )
      & ? [X47] :
          ( ? [X48] :
              ( r4(X44,X48,X47)
              & r2(X45,X48) )
          & id(X47,X46) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).

fof(axiom_8,axiom,
    ! [X20,X21] :
      ( ( r1(X21)
        & r1(X20) )
      | ( ~ r1(X21)
        & ~ r1(X20) )
      | ~ id(X20,X21) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).

fof(c_0_12,negated_conjecture,
    ~ ? [X63] :
        ( ! [X40] :
            ( ~ r1(X40)
            | ~ id(X63,X40) )
        & ! [X46] :
            ( ~ id(X63,X46)
            | ! [X47] :
                ( ~ r2(X47,X46)
                | ~ r1(X47) ) ) ),
    inference(assume_negation,[status(cth)],[nononesexistid]) ).

fof(c_0_13,plain,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ id(X5,X4)
        & ~ r2(X3,X5) )
      | ( r2(X3,X5)
        & id(X5,X4) ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

fof(c_0_14,negated_conjecture,
    ~ ? [X63] :
        ( ! [X40] :
            ( ~ r1(X40)
            | ~ id(X63,X40) )
        & ! [X46] :
            ( ~ id(X63,X46)
            | ! [X47] :
                ( ~ r2(X47,X46)
                | ~ r1(X47) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X15,X16] :
      ( id(X16,X15)
      | ~ id(X15,X16) ),
    inference(fof_simplification,[status(thm)],[axiom_6]) ).

fof(c_0_16,plain,
    ! [X17,X18,X19] :
      ( ~ id(X18,X19)
      | id(X17,X19)
      | ~ id(X17,X18) ),
    inference(fof_simplification,[status(thm)],[axiom_7]) ).

fof(c_0_17,plain,
    ! [X70,X72] :
      ( ( r2(X70,X72)
        | ~ id(X72,esk2_1(X70)) )
      & ( r2(X70,X72)
        | ~ r2(X70,X72) )
      & ( id(X72,esk2_1(X70))
        | ~ id(X72,esk2_1(X70)) )
      & ( id(X72,esk2_1(X70))
        | ~ r2(X70,X72) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_13])])])]) ).

fof(c_0_18,negated_conjecture,
    ! [X135] :
      ( ( id(X135,esk21_1(X135))
        | r1(esk23_1(X135)) )
      & ( id(X135,esk21_1(X135))
        | id(X135,esk23_1(X135)) )
      & ( r2(esk22_1(X135),esk21_1(X135))
        | r1(esk23_1(X135)) )
      & ( r2(esk22_1(X135),esk21_1(X135))
        | id(X135,esk23_1(X135)) )
      & ( r1(esk22_1(X135))
        | r1(esk23_1(X135)) )
      & ( r1(esk22_1(X135))
        | id(X135,esk23_1(X135)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_19,plain,
    ! [X82,X83] :
      ( id(X83,X82)
      | ~ id(X82,X83) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).

fof(c_0_20,plain,
    ! [X121] :
      ( r3(X121,esk14_1(X121),esk13_1(X121))
      & r1(esk14_1(X121))
      & id(esk13_1(X121),X121) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).

fof(c_0_21,plain,
    ! [X22,X23,X24,X25] :
      ( ( r2(X24,X25)
        & r2(X22,X23) )
      | ( ~ r2(X24,X25)
        & ~ r2(X22,X23) )
      | ~ id(X23,X25)
      | ~ id(X22,X24) ),
    inference(fof_simplification,[status(thm)],[axiom_9]) ).

fof(c_0_22,plain,
    ? [X1] :
    ! [X2] :
      ( ( ~ id(X2,X1)
        & ~ r1(X2) )
      | ( r1(X2)
        & id(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_23,plain,
    ! [X84,X85,X86] :
      ( ~ id(X85,X86)
      | id(X84,X86)
      | ~ id(X84,X85) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).

cnf(c_0_24,plain,
    ( ~ r2(X1,X2)
    | id(X2,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( r2(esk22_1(X1),esk21_1(X1))
    | id(X1,esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( ~ id(X1,X2)
    | id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    id(esk13_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_28,plain,
    ! [X89,X90,X91,X92] :
      ( ( ~ id(X90,X92)
        | ~ id(X89,X91)
        | ~ r2(X91,X92)
        | r2(X91,X92) )
      & ( ~ id(X90,X92)
        | ~ id(X89,X91)
        | ~ r2(X91,X92)
        | r2(X89,X90) )
      & ( ~ id(X90,X92)
        | ~ id(X89,X91)
        | ~ r2(X89,X90)
        | r2(X91,X92) )
      & ( ~ id(X90,X92)
        | ~ id(X89,X91)
        | ~ r2(X89,X90)
        | r2(X89,X90) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_21])])]) ).

fof(c_0_29,plain,
    ! [X81] : id(X81,X81),
    inference(variable_rename,[status(thm)],[axiom_5]) ).

fof(c_0_30,plain,
    ! [X69] :
      ( ( r1(X69)
        | ~ id(X69,esk1_0) )
      & ( r1(X69)
        | ~ r1(X69) )
      & ( id(X69,esk1_0)
        | ~ id(X69,esk1_0) )
      & ( id(X69,esk1_0)
        | ~ r1(X69) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_31,plain,
    ( ~ id(X2,X3)
    | ~ id(X1,X2)
    | id(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | id(esk21_1(X1),esk2_1(esk22_1(X1))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_33,plain,
    id(X1,esk13_1(X1)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_34,plain,
    ! [X50,X51] :
      ( id(X50,X51)
      | ! [X52] :
          ( ~ r2(X51,X52)
          | ! [X53] :
              ( ~ r2(X50,X53)
              | ~ id(X53,X52) ) ) ),
    inference(fof_simplification,[status(thm)],[axiom_3a]) ).

cnf(c_0_35,plain,
    ( ~ id(X4,X2)
    | ~ id(X3,X1)
    | ~ r2(X3,X4)
    | r2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( ~ r1(X1)
    | id(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    ( r1(esk22_1(X1))
    | id(X1,esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ id(X1,esk21_1(X2))
    | id(X2,esk23_1(X2))
    | id(X1,esk2_1(esk22_1(X2))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | id(X1,esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_41,plain,
    ( ~ id(X2,X4)
    | ~ id(X1,X3)
    | ~ r2(X3,X4)
    | r2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_42,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | r1(esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_43,negated_conjecture,
    ( r1(esk22_1(X1))
    | r1(esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_44,plain,
    ! [X65,X66] :
      ( ~ r2(X65,X66)
      | ! [X67] :
          ( ~ r1(X67)
          | ~ id(X67,X66) ) ),
    inference(fof_simplification,[status(thm)],[axiom_7a]) ).

cnf(c_0_45,plain,
    ( ~ id(X1,X2)
    | id(X1,esk13_1(X2)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_33]) ).

fof(c_0_46,plain,
    ! [X117,X118,X119,X120] :
      ( id(X117,X118)
      | ~ r2(X118,X119)
      | ~ r2(X117,X120)
      | ~ id(X120,X119) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])])]) ).

fof(c_0_47,plain,
    ! [X111,X112] :
      ( r4(X111,X112,esk12_2(X111,X112))
      & r3(esk12_2(X111,X112),X111,esk9_2(X111,X112))
      & r4(X111,esk11_2(X111,X112),esk10_2(X111,X112))
      & r2(X112,esk11_2(X111,X112))
      & id(esk10_2(X111,X112),esk9_2(X111,X112)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).

fof(c_0_48,plain,
    ! [X20,X21] :
      ( ( r1(X21)
        & r1(X20) )
      | ( ~ r1(X21)
        & ~ r1(X20) )
      | ~ id(X20,X21) ),
    inference(fof_simplification,[status(thm)],[axiom_8]) ).

cnf(c_0_49,plain,
    ( ~ id(X3,X1)
    | ~ r2(X3,X2)
    | r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_50,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | id(esk22_1(X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_51,plain,
    ( ~ id(X1,esk2_1(X2))
    | r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_52,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | id(X1,esk2_1(esk22_1(X1))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ id(X1,X3)
    | ~ r2(X3,esk21_1(X2))
    | r1(esk23_1(X2))
    | r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_54,negated_conjecture,
    ( r2(esk22_1(X1),esk21_1(X1))
    | r1(esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_55,negated_conjecture,
    ( id(esk22_1(X1),esk1_0)
    | r1(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_43]) ).

fof(c_0_56,plain,
    ! [X132,X133,X134] :
      ( ~ r2(X132,X133)
      | ~ r1(X134)
      | ~ id(X134,X133) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])])]) ).

cnf(c_0_57,plain,
    id(X1,esk13_1(esk13_1(X1))),
    inference(spm,[status(thm)],[c_0_45,c_0_33]) ).

cnf(c_0_58,plain,
    ( ~ r2(X4,X2)
    | ~ r2(X3,X1)
    | ~ id(X1,X2)
    | id(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_59,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_60,plain,
    ! [X87,X88] :
      ( ( ~ id(X87,X88)
        | ~ r1(X88)
        | r1(X88) )
      & ( ~ id(X87,X88)
        | ~ r1(X88)
        | r1(X87) )
      & ( ~ id(X87,X88)
        | ~ r1(X87)
        | r1(X88) )
      & ( ~ id(X87,X88)
        | ~ r1(X87)
        | r1(X87) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])])]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ r2(esk22_1(X2),X1)
    | id(X2,esk23_1(X2))
    | r2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_62,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | r2(esk22_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ id(X1,esk22_1(X2))
    | r1(esk23_1(X2))
    | r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    ( id(esk1_0,esk22_1(X1))
    | r1(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_55]) ).

cnf(c_0_65,plain,
    ( ~ r2(X3,X2)
    | ~ r1(X1)
    | ~ id(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,plain,
    id(esk13_1(esk13_1(X1)),X1),
    inference(spm,[status(thm)],[c_0_26,c_0_57]) ).

cnf(c_0_67,plain,
    ( ~ id(X3,esk11_2(X4,X2))
    | ~ r2(X1,X3)
    | id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,plain,
    ( ~ id(X1,X2)
    | ~ r1(X2)
    | r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_69,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | r2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    ( r1(esk23_1(X1))
    | r2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    ( ~ id(X1,esk11_2(X2,X3))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_59]) ).

cnf(c_0_72,plain,
    r2(X1,esk13_1(esk13_1(esk2_1(X1)))),
    inference(spm,[status(thm)],[c_0_51,c_0_66]) ).

cnf(c_0_73,plain,
    ( ~ r2(X1,esk11_2(X3,X2))
    | id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_36]) ).

cnf(c_0_74,negated_conjecture,
    ( r1(X1)
    | r2(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_75,plain,
    ~ r1(esk11_2(X1,X2)),
    inference(spm,[status(thm)],[c_0_71,c_0_36]) ).

cnf(c_0_76,plain,
    ( ~ id(X1,esk1_0)
    | r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_77,plain,
    ( ~ id(X1,esk13_1(esk13_1(esk2_1(X2))))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    id(esk1_0,X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).

cnf(c_0_79,plain,
    r1(esk1_0),
    inference(spm,[status(thm)],[c_0_76,c_0_36]) ).

cnf(c_0_80,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUN065+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.39  % Computer : n018.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.40  % CPULimit : 300
% 0.12/5.40  % WCLimit  : 300
% 0.12/5.40  % DateTime : Mon Sep 21 03:25:20 UTC 2026
% 0.17/5.40  % CPUTime  : 
% 0.17/5.40  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/5.45  Running first-order theorem proving
% 0.17/5.45  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
% 16.28/7.89  % Version: 3.5.1
% 16.28/7.89  % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.28/7.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.28/7.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.28/7.89  % Starting new_bool_3 with 300s (1) cores
% 16.28/7.89  % Starting new_bool_1 with 300s (1) cores
% 16.28/7.89  % Starting sh5l with 300s (1) cores
% 16.28/7.89  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 863777 completed with status 0
% 16.28/7.89  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 16.28/7.89  % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.28/7.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.28/7.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.28/7.89  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.28/7.89  % No SInE strategy applied
% 16.28/7.89  % Search class: FGHNM-FFMF21-SFFFFFNN
% 16.28/7.89  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.28/7.89  % Starting SubtermCWHack with 136s (1) cores
% 16.28/7.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 16.28/7.89  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 16.28/7.89  % Starting new_bool_3 with 211s (1) cores
% 16.28/7.89  % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 16.28/7.89  % G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 863784 completed with status 0
% 16.28/7.89  % Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S
% 16.28/7.89  % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.28/7.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.28/7.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.28/7.89  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.28/7.89  % No SInE strategy applied
% 16.28/7.89  % Search class: FGHNM-FFMF21-SFFFFFNN
% 16.28/7.89  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.28/7.89  % Starting SubtermCWHack with 136s (1) cores
% 16.28/7.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 16.28/7.89  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 16.28/7.89  % Preprocessing time       : 0.003 s
% 16.28/7.89  % Presaturation interreduction done
% 16.28/7.89  
% 16.28/7.89  % Proof found!
% 16.28/7.89  % SZS status Theorem
% 16.28/7.89  % SZS output start CNFRefutation
% See solution above
% 16.28/7.90  % Parsed axioms                        : 19
% 16.28/7.90  % Removed by relevancy pruning/SinE    : 0
% 16.28/7.90  % Initial clauses                      : 64
% 16.28/7.90  % Removed in clause preprocessing      : 16
% 16.28/7.90  % Initial clauses in saturation        : 48
% 16.28/7.90  % Processed clauses                    : 10870
% 16.28/7.90  % ...of these trivial                  : 1145
% 16.28/7.90  % ...subsumed                          : 7359
% 16.28/7.90  % ...remaining for further processing  : 2366
% 16.28/7.90  % Other redundant clauses eliminated   : 0
% 16.28/7.90  % Clauses deleted for lack of memory   : 0
% 16.28/7.90  % Backward-subsumed                    : 14
% 16.28/7.90  % Backward-rewritten                   : 136
% 16.28/7.90  % Generated clauses                    : 121555
% 16.28/7.90  % ...of the previous two non-redundant : 96910
% 16.28/7.90  % ...aggressively subsumed             : 0
% 16.28/7.90  % Contextual simplify-reflections      : 15
% 16.28/7.90  % Paramodulations                      : 121555
% 16.28/7.90  % Factorizations                       : 0
% 16.28/7.90  % NegExts                              : 0
% 16.28/7.90  % Equation resolutions                 : 0
% 16.28/7.90  % Disequality decompositions           : 0
% 16.28/7.90  % Total rewrite steps                  : 45543
% 16.28/7.90  % ...of those cached                   : 44010
% 16.28/7.90  % Propositional unsat checks           : 0
% 16.28/7.90  %    Propositional check models        : 0
% 16.28/7.90  %    Propositional check unsatisfiable : 0
% 16.28/7.90  %    Propositional clauses             : 0
% 16.28/7.90  %    Propositional clauses after purity: 0
% 16.28/7.90  %    Propositional unsat core size     : 0
% 16.28/7.90  %    Propositional preprocessing time  : 0.000
% 16.28/7.90  %    Propositional encoding time       : 0.000
% 16.28/7.90  %    Propositional solver time         : 0.000
% 16.28/7.90  %    Success case prop preproc time    : 0.000
% 16.28/7.90  %    Success case prop encoding time   : 0.000
% 16.28/7.90  %    Success case prop solver time     : 0.000
% 16.28/7.90  % Current number of processed clauses  : 2168
% 16.28/7.90  %    Positive orientable unit clauses  : 730
% 16.28/7.90  %    Positive unorientable unit clauses: 0
% 16.28/7.90  %    Negative unit clauses             : 24
% 16.28/7.90  %    Non-unit-clauses                  : 1414
% 16.28/7.90  % Current number of unprocessed clauses: 86095
% 16.28/7.90  % ...number of literals in the above   : 223789
% 16.28/7.90  % Current number of archived formulas  : 0
% 16.28/7.90  % Current number of archived clauses   : 198
% 16.28/7.90  % Clause-clause subsumption calls (NU) : 151503
% 16.28/7.90  % Rec. Clause-clause subsumption calls : 123753
% 16.28/7.90  % Non-unit clause-clause subsumptions  : 6767
% 16.28/7.90  % Unit Clause-clause subsumption calls : 4565
% 16.28/7.90  % Rewrite failures with RHS unbound    : 0
% 16.28/7.90  % BW rewrite match attempts            : 1927
% 16.28/7.90  % BW rewrite match successes           : 111
% 16.28/7.90  % Condensation attempts                : 0
% 16.28/7.90  % Condensation successes               : 0
% 16.28/7.90  % Termbank termtop insertions          : 1436298
% 16.28/7.90  % Search garbage collected termcells   : 403
% 16.28/7.90  
% 16.28/7.90  % -------------------------------------------------
% 16.28/7.90  % User time                : 2.242 s
% 16.28/7.90  % System time              : 0.098 s
% 16.28/7.90  % Total time               : 2.340 s
% 16.28/7.90  % Maximum resident set size: 3644 pages
% 16.28/7.90  
% 16.28/7.90  % -------------------------------------------------
% 16.28/7.90  % User time                : 11.302 s
% 16.28/7.90  % System time              : 0.480 s
% 16.28/7.90  % Total time               : 11.782 s
% 16.28/7.90  % Maximum resident set size: 4608 pages
% 16.28/7.90  % E exiting
%------------------------------------------------------------------------------