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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO196+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 12:27:42 PM UTC 2026

% Result   : Theorem 173.23s 25.96s
% Output   : CNFRefutation 173.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   74 (  22 unt;   0 def)
%            Number of atoms       :  206 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  208 (  76   ~;  93   |;  26   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  166 (  26 sgn  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X2,X4,X5] :
      ( ( incident_point_and_line(intersection_point(X1,X2),X5)
        & incident_point_and_line(intersection_point(X1,X2),X4)
        & convergent_lines(X4,X5)
        & convergent_lines(X1,X2) )
     => ( incident_point_and_line(intersection_point(X4,X5),X2)
        & incident_point_and_line(intersection_point(X4,X5),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(a4,axiom,
    ! [X1,X2] :
      ( incident_point_and_line(X1,X2)
    <=> ~ apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).

fof(ooc1,axiom,
    ! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).

fof(occu1,axiom,
    ! [X6,X7] :
      ( unorthogonal_lines(X6,X7)
      | convergent_lines(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).

fof(ax6,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( convergent_lines(X2,X3)
        | convergent_lines(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).

fof(cp2,axiom,
    ! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).

fof(ceq2,axiom,
    ! [X1,X2,X3] :
      ( apart_point_and_line(X1,X2)
     => ( apart_point_and_line(X1,X3)
        | distinct_lines(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).

fof(cp1,axiom,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).

fof(ceq3,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( convergent_lines(X1,X3)
        | distinct_lines(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).

fof(couo1,axiom,
    ! [X6,X7,X8] :
      ( ( ~ unorthogonal_lines(X6,X8)
        & ~ unorthogonal_lines(X6,X7) )
     => ~ convergent_lines(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

fof(p1,axiom,
    ! [X1,X2] :
      ( distinct_lines(X1,X2)
     => convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).

fof(oac1,axiom,
    ! [X6,X7,X8] :
      ( ( unorthogonal_lines(X6,X7)
        & convergent_lines(X6,X7) )
     => ( ( unorthogonal_lines(X7,X8)
          & convergent_lines(X7,X8) )
        | ( unorthogonal_lines(X6,X8)
          & convergent_lines(X6,X8) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).

fof(cotno1,axiom,
    ! [X6,X7,X8] :
      ( ( ( ~ unorthogonal_lines(X6,X8)
          | ~ convergent_lines(X6,X8) )
        & ( ~ unorthogonal_lines(X6,X7)
          | ~ convergent_lines(X6,X7) ) )
     => ( ~ unorthogonal_lines(X7,X8)
        | ~ convergent_lines(X7,X8) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',cotno1) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1,X2,X4,X5] :
        ( ( incident_point_and_line(intersection_point(X1,X2),X5)
          & incident_point_and_line(intersection_point(X1,X2),X4)
          & convergent_lines(X4,X5)
          & convergent_lines(X1,X2) )
       => ( incident_point_and_line(intersection_point(X4,X5),X2)
          & incident_point_and_line(intersection_point(X4,X5),X1) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_15,plain,
    ! [X1,X2] :
      ( incident_point_and_line(X1,X2)
    <=> ~ apart_point_and_line(X1,X2) ),
    inference(fof_simplification,[status(thm)],[a4]) ).

fof(c_0_16,plain,
    ! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
    inference(fof_simplification,[status(thm)],[ooc1]) ).

fof(c_0_17,negated_conjecture,
    ( ( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)
      | ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0) )
    & incident_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)
    & incident_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
    & convergent_lines(esk3_0,esk4_0)
    & convergent_lines(esk1_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_18,plain,
    ! [X88,X89] :
      ( ( incident_point_and_line(X88,X89)
        | apart_point_and_line(X88,X89) )
      & ( ~ apart_point_and_line(X88,X89)
        | ~ incident_point_and_line(X88,X89) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_19,plain,
    ! [X58,X59] : ~ unorthogonal_lines(orthogonal_through_point(X59,X58),X59),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).

fof(c_0_20,plain,
    ! [X53,X54] :
      ( unorthogonal_lines(X53,X54)
      | convergent_lines(X53,X54) ),
    inference(variable_rename,[status(thm)],[occu1]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)
    | ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_23,plain,
    ! [X20,X21,X22] :
      ( convergent_lines(X21,X22)
      | convergent_lines(X20,X22)
      | ~ convergent_lines(X20,X21) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])]) ).

cnf(c_0_24,plain,
    ~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( unorthogonal_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_26,plain,
    ! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(fof_simplification,[status(thm)],[cp2]) ).

fof(c_0_27,plain,
    ! [X38,X39,X40] :
      ( apart_point_and_line(X38,X40)
      | distinct_lines(X39,X40)
      | ~ apart_point_and_line(X38,X39) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])])]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_29,plain,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    inference(fof_simplification,[status(thm)],[cp1]) ).

fof(c_0_30,plain,
    ! [X41,X42,X43] :
      ( convergent_lines(X41,X43)
      | distinct_lines(X42,X43)
      | ~ convergent_lines(X41,X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])])]) ).

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

cnf(c_0_32,plain,
    convergent_lines(orthogonal_through_point(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_33,plain,
    ! [X48,X49] : ~ apart_point_and_line(X48,parallel_through_point(X49,X48)),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).

cnf(c_0_34,plain,
    ( ~ apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | distinct_lines(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_22]) ).

fof(c_0_36,plain,
    ! [X6,X7,X8] :
      ( ( ~ unorthogonal_lines(X6,X8)
        & ~ unorthogonal_lines(X6,X7) )
     => ~ convergent_lines(X7,X8) ),
    inference(fof_simplification,[status(thm)],[couo1]) ).

fof(c_0_37,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c_0_38,plain,
    ! [X46,X47] : ~ convergent_lines(parallel_through_point(X47,X46),X47),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).

cnf(c_0_39,plain,
    ( ~ convergent_lines(X1,X2)
    | convergent_lines(X1,X3)
    | distinct_lines(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( convergent_lines(X1,X3)
    | convergent_lines(orthogonal_through_point(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_41,plain,
    ! [X44,X45] :
      ( convergent_lines(X44,X45)
      | ~ distinct_lines(X44,X45) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).

cnf(c_0_42,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    ( distinct_lines(esk1_0,X1)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_44,plain,
    ! [X71,X72,X73] :
      ( ~ convergent_lines(X72,X73)
      | unorthogonal_lines(X71,X73)
      | unorthogonal_lines(X71,X72) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

fof(c_0_45,plain,
    ! [X13] : ~ convergent_lines(X13,X13),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).

cnf(c_0_46,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,plain,
    ( distinct_lines(X4,X3)
    | convergent_lines(X1,X4)
    | convergent_lines(orthogonal_through_point(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,plain,
    ( ~ distinct_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( distinct_lines(esk1_0,parallel_through_point(X1,intersection_point(esk3_0,esk4_0)))
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_50,plain,
    ! [X55,X56,X57] :
      ( ( ~ unorthogonal_lines(X55,X56)
        | ~ convergent_lines(X55,X56)
        | unorthogonal_lines(X55,X57)
        | unorthogonal_lines(X56,X57) )
      & ( ~ unorthogonal_lines(X55,X56)
        | ~ convergent_lines(X55,X56)
        | unorthogonal_lines(X55,X57)
        | convergent_lines(X56,X57) )
      & ( ~ unorthogonal_lines(X55,X56)
        | ~ convergent_lines(X55,X56)
        | convergent_lines(X55,X57)
        | unorthogonal_lines(X56,X57) )
      & ( ~ unorthogonal_lines(X55,X56)
        | ~ convergent_lines(X55,X56)
        | convergent_lines(X55,X57)
        | convergent_lines(X56,X57) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oac1])])])]) ).

cnf(c_0_51,plain,
    ( ~ convergent_lines(X2,X3)
    | unorthogonal_lines(X1,X3)
    | unorthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    ( distinct_lines(X1,X4)
    | convergent_lines(orthogonal_through_point(parallel_through_point(X1,X2),X3),X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( convergent_lines(esk1_0,parallel_through_point(X1,intersection_point(esk3_0,esk4_0)))
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,plain,
    ( ~ unorthogonal_lines(X3,X1)
    | ~ convergent_lines(X3,X1)
    | unorthogonal_lines(X3,X2)
    | unorthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    ( unorthogonal_lines(X1,X2)
    | unorthogonal_lines(X1,orthogonal_through_point(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_32]) ).

cnf(c_0_57,plain,
    distinct_lines(X1,orthogonal_through_point(parallel_through_point(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( convergent_lines(esk1_0,X2)
    | convergent_lines(parallel_through_point(X1,intersection_point(esk3_0,esk4_0)),X2)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_54]) ).

fof(c_0_59,plain,
    ! [X6,X7,X8] :
      ( ( ( ~ unorthogonal_lines(X6,X8)
          | ~ convergent_lines(X6,X8) )
        & ( ~ unorthogonal_lines(X6,X7)
          | ~ convergent_lines(X6,X7) ) )
     => ( ~ unorthogonal_lines(X7,X8)
        | ~ convergent_lines(X7,X8) ) ),
    inference(fof_simplification,[status(thm)],[cotno1]) ).

cnf(c_0_60,plain,
    ( ~ convergent_lines(X4,orthogonal_through_point(X1,X2))
    | unorthogonal_lines(X4,X3)
    | unorthogonal_lines(X4,X1)
    | unorthogonal_lines(orthogonal_through_point(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    convergent_lines(X1,orthogonal_through_point(parallel_through_point(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_48,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( convergent_lines(esk1_0,X1)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_58]) ).

fof(c_0_63,plain,
    ! [X68,X69,X70] :
      ( ( ~ unorthogonal_lines(X69,X70)
        | ~ convergent_lines(X69,X70)
        | unorthogonal_lines(X68,X69)
        | unorthogonal_lines(X68,X70) )
      & ( ~ unorthogonal_lines(X69,X70)
        | ~ convergent_lines(X69,X70)
        | unorthogonal_lines(X68,X69)
        | convergent_lines(X68,X70) )
      & ( ~ unorthogonal_lines(X69,X70)
        | ~ convergent_lines(X69,X70)
        | convergent_lines(X68,X69)
        | unorthogonal_lines(X68,X70) )
      & ( ~ unorthogonal_lines(X69,X70)
        | ~ convergent_lines(X69,X70)
        | convergent_lines(X68,X69)
        | convergent_lines(X68,X70) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).

cnf(c_0_64,plain,
    ( unorthogonal_lines(X1,X4)
    | unorthogonal_lines(X1,parallel_through_point(X1,X2))
    | unorthogonal_lines(orthogonal_through_point(parallel_through_point(X1,X2),X3),X4) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( distinct_lines(esk2_0,X1)
    | convergent_lines(esk1_0,X2)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_62]) ).

cnf(c_0_66,plain,
    ( ~ unorthogonal_lines(X3,X2)
    | ~ convergent_lines(X3,X2)
    | convergent_lines(X1,X3)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_67,plain,
    unorthogonal_lines(X1,parallel_through_point(X1,X2)),
    inference(spm,[status(thm)],[c_0_24,c_0_64]) ).

cnf(c_0_68,negated_conjecture,
    ( distinct_lines(esk2_0,parallel_through_point(X2,intersection_point(esk3_0,esk4_0)))
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_65]) ).

cnf(c_0_69,plain,
    ( ~ convergent_lines(X2,parallel_through_point(X2,X3))
    | convergent_lines(X1,X2)
    | convergent_lines(X1,parallel_through_point(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ( convergent_lines(esk1_0,X2)
    | convergent_lines(esk2_0,parallel_through_point(X1,intersection_point(esk3_0,esk4_0))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( convergent_lines(X1,esk2_0)
    | convergent_lines(esk1_0,X2)
    | convergent_lines(X1,parallel_through_point(esk2_0,intersection_point(esk3_0,esk4_0))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_72,negated_conjecture,
    convergent_lines(esk1_0,X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_71]),c_0_46]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_52,c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO196+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.58  % Computer : n009.cluster.edu
% 0.11/0.58  % Model    : x86_64 x86_64
% 0.11/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58  % Memory   : 8046.5625MB
% 0.11/0.58  % OS       : Linux 6.8.0-71-generic
% 0.11/0.58  % CPULimit : 300
% 0.11/0.58  % WCLimit  : 300
% 0.11/0.58  % DateTime : Sun Sep 20 13:17:13 UTC 2026
% 0.11/0.58  % CPUTime  : 
% 0.11/0.58  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62  Running first-order theorem proving
% 0.11/0.62  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
% 173.23/25.96  % Version: 3.5.1
% 173.23/25.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 173.23/25.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.23/25.96  % Starting new_bool_3 with 300s (1) cores
% 173.23/25.96  % Starting new_bool_1 with 300s (1) cores
% 173.23/25.96  % Starting sh5l with 300s (1) cores
% 173.23/25.96  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3573079 completed with status 0
% 173.23/25.96  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 173.23/25.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 173.23/25.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.23/25.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 173.23/25.96  % No SInE strategy applied
% 173.23/25.96  % Search class: FGHNF-FFMS22-SFFFFFNN
% 173.23/25.96  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 173.23/25.96  % Starting SubtermCWHack with 136s (1) cores
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 173.23/25.96  % Starting new_bool_3 with 136s (1) cores
% 173.23/25.96  % Starting new_bool_1 with 136s (1) cores
% 173.23/25.96  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3573085 completed with status 0
% 173.23/25.96  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 173.23/25.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 173.23/25.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.23/25.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 173.23/25.96  % No SInE strategy applied
% 173.23/25.96  % Search class: FGHNF-FFMS22-SFFFFFNN
% 173.23/25.96  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 173.23/25.96  % Starting SubtermCWHack with 136s (1) cores
% 173.23/25.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 173.23/25.96  % Preprocessing time       : 0.002 s
% 173.23/25.96  % Presaturation interreduction done
% 173.23/25.96  
% 173.23/25.96  % Proof found!
% 173.23/25.96  % SZS status Theorem
% 173.23/25.96  % SZS output start CNFRefutation
% See solution above
% 173.23/25.96  % Parsed axioms                        : 36
% 173.23/25.96  % Removed by relevancy pruning/SinE    : 0
% 173.23/25.96  % Initial clauses                      : 51
% 173.23/25.96  % Removed in clause preprocessing      : 0
% 173.23/25.96  % Initial clauses in saturation        : 51
% 173.23/25.96  % Processed clauses                    : 16008
% 173.23/25.96  % ...of these trivial                  : 533
% 173.23/25.96  % ...subsumed                          : 8797
% 173.23/25.96  % ...remaining for further processing  : 6678
% 173.23/25.96  % Other redundant clauses eliminated   : 0
% 173.23/25.96  % Clauses deleted for lack of memory   : 0
% 173.23/25.96  % Backward-subsumed                    : 1105
% 173.23/25.96  % Backward-rewritten                   : 1370
% 173.23/25.96  % Generated clauses                    : 1394913
% 173.23/25.96  % ...of the previous two non-redundant : 1001888
% 173.23/25.96  % ...aggressively subsumed             : 0
% 173.23/25.96  % Contextual simplify-reflections      : 460
% 173.23/25.96  % Paramodulations                      : 1391659
% 173.23/25.96  % Factorizations                       : 3254
% 173.23/25.96  % NegExts                              : 0
% 173.23/25.96  % Equation resolutions                 : 0
% 173.23/25.96  % Disequality decompositions           : 0
% 173.23/25.96  % Total rewrite steps                  : 431652
% 173.23/25.96  % ...of those cached                   : 431024
% 173.23/25.96  % Propositional unsat checks           : 1
% 173.23/25.96  %    Propositional check models        : 1
% 173.23/25.96  %    Propositional check unsatisfiable : 0
% 173.23/25.96  %    Propositional clauses             : 0
% 173.23/25.96  %    Propositional clauses after purity: 0
% 173.23/25.96  %    Propositional unsat core size     : 0
% 173.23/25.96  %    Propositional preprocessing time  : 0.000
% 173.23/25.96  %    Propositional encoding time       : 0.641
% 173.23/25.96  %    Propositional solver time         : 0.048
% 173.23/25.96  %    Success case prop preproc time    : 0.000
% 173.23/25.96  %    Success case prop encoding time   : 0.000
% 173.23/25.96  %    Success case prop solver time     : 0.000
% 173.23/25.96  % Current number of processed clauses  : 4156
% 173.23/25.96  %    Positive orientable unit clauses  : 100
% 173.23/25.96  %    Positive unorientable unit clauses: 0
% 173.23/25.96  %    Negative unit clauses             : 9
% 173.23/25.96  %    Non-unit-clauses                  : 4047
% 173.23/25.96  % Current number of unprocessed clauses: 980844
% 173.23/25.96  % ...number of literals in the above   : 6213851
% 173.23/25.96  % Current number of archived formulas  : 0
% 173.23/25.96  % Current number of archived clauses   : 2522
% 173.23/25.96  % Clause-clause subsumption calls (NU) : 7751228
% 173.23/25.96  % Rec. Clause-clause subsumption calls : 890630
% 173.23/25.96  % Non-unit clause-clause subsumptions  : 10187
% 173.23/25.96  % Unit Clause-clause subsumption calls : 79423
% 173.23/25.96  % Rewrite failures with RHS unbound    : 0
% 173.23/25.96  % BW rewrite match attempts            : 218
% 173.23/25.96  % BW rewrite match successes           : 61
% 173.23/25.96  % Condensation attempts                : 0
% 173.23/25.96  % Condensation successes               : 0
% 173.23/25.96  % Termbank termtop insertions          : 28036467
% 173.23/25.96  % Search garbage collected termcells   : 533
% 173.23/25.96  
% 173.23/25.96  % -------------------------------------------------
% 173.23/25.96  % User time                : 23.738 s
% 173.23/25.96  % System time              : 0.837 s
% 173.23/25.96  % Total time               : 24.576 s
% 173.23/25.96  % Maximum resident set size: 3424 pages
% 173.23/25.96  
% 173.23/25.96  % -------------------------------------------------
% 173.23/25.96  % User time                : 118.886 s
% 173.23/25.96  % System time              : 4.566 s
% 173.23/25.96  % Total time               : 123.451 s
% 173.23/25.96  % Maximum resident set size: 4608 pages
% 173.23/25.96  % E exiting
%------------------------------------------------------------------------------