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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO215+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 : n003.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 12:27:49 PM UTC 2026

% Result   : Theorem 0.14s 0.44s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   66 (  20 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  143 (  45   ~;  80   |;   8   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  110 (   3 sgn  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X6,X7,X8] :
      ( convergent_lines(X6,X7)
     => ( unorthogonal_lines(X7,X8)
        | unorthogonal_lines(X6,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(occu1,axiom,
    ! [X6,X7] :
      ( unorthogonal_lines(X6,X7)
      | convergent_lines(X6,X7) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).

fof(cp1,axiom,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).

fof(ci3,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).

fof(ouo1,axiom,
    ! [X9,X6,X7,X8] :
      ( distinct_lines(X6,X7)
     => ( unorthogonal_lines(X7,X8)
        | unorthogonal_lines(X6,X8)
        | apart_point_and_line(X9,X7)
        | apart_point_and_line(X9,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).

fof(ci4,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).

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/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X6,X7,X8] :
        ( convergent_lines(X6,X7)
       => ( unorthogonal_lines(X7,X8)
          | unorthogonal_lines(X6,X8) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_11,negated_conjecture,
    ( ~ unorthogonal_lines(esk2_0,esk3_0)
    & ~ unorthogonal_lines(esk1_0,esk3_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_10])])])]) ).

fof(c_0_12,plain,
    ! [X50,X51] :
      ( unorthogonal_lines(X50,X51)
      | convergent_lines(X50,X51) ),
    inference(variable_rename,[status(thm)],[occu1]) ).

fof(c_0_13,plain,
    ! [X19,X20,X21] :
      ( convergent_lines(X20,X21)
      | convergent_lines(X19,X21)
      | ~ convergent_lines(X19,X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])]) ).

cnf(c_0_14,negated_conjecture,
    ~ unorthogonal_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( unorthogonal_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart3]) ).

cnf(c_0_17,plain,
    ( ~ convergent_lines(X1,X2)
    | convergent_lines(X2,X3)
    | convergent_lines(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    convergent_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_19,plain,
    ! [X12] : ~ convergent_lines(X12,X12),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).

cnf(c_0_20,negated_conjecture,
    ( convergent_lines(esk3_0,X1)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( convergent_lines(X1,X2)
    | convergent_lines(esk3_0,X2)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_20]) ).

fof(c_0_23,plain,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    inference(fof_simplification,[status(thm)],[cp1]) ).

cnf(c_0_24,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | convergent_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_25,plain,
    ! [X43,X44] : ~ convergent_lines(parallel_through_point(X44,X43),X44),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).

cnf(c_0_26,negated_conjecture,
    ( convergent_lines(X1,X2)
    | convergent_lines(esk2_0,X2)
    | convergent_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_24]) ).

fof(c_0_27,plain,
    ! [X40,X41,X42] :
      ( convergent_lines(X40,X42)
      | distinct_lines(X41,X42)
      | ~ convergent_lines(X40,X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])])]) ).

cnf(c_0_28,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( convergent_lines(X1,esk3_0)
    | convergent_lines(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_30,plain,
    ( ~ convergent_lines(X1,X2)
    | convergent_lines(X1,X3)
    | distinct_lines(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    convergent_lines(parallel_through_point(esk3_0,X1),esk2_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_33,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(fof_simplification,[status(thm)],[ci3]) ).

fof(c_0_34,plain,
    ! [X59,X60,X61,X62] :
      ( unorthogonal_lines(X61,X62)
      | unorthogonal_lines(X60,X62)
      | apart_point_and_line(X59,X61)
      | apart_point_and_line(X59,X60)
      | ~ distinct_lines(X60,X61) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ouo1])])]) ).

cnf(c_0_35,negated_conjecture,
    ( distinct_lines(esk2_0,X2)
    | convergent_lines(parallel_through_point(esk3_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    convergent_lines(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_32,c_0_15]) ).

fof(c_0_37,plain,
    ! [X26,X27] :
      ( ~ apart_point_and_line(intersection_point(X26,X27),X26)
      | ~ convergent_lines(X26,X27) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

cnf(c_0_38,plain,
    ( ~ distinct_lines(X1,X2)
    | unorthogonal_lines(X2,X4)
    | unorthogonal_lines(X1,X4)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    distinct_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_28,c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    ( convergent_lines(esk3_0,X1)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

fof(c_0_41,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(fof_simplification,[status(thm)],[ci4]) ).

cnf(c_0_42,plain,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X1)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( apart_point_and_line(X2,esk3_0)
    | apart_point_and_line(X2,esk2_0)
    | unorthogonal_lines(esk3_0,X1)
    | unorthogonal_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( convergent_lines(X1,X2)
    | convergent_lines(esk3_0,X2)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_40]) ).

fof(c_0_45,plain,
    ! [X28,X29] :
      ( ~ apart_point_and_line(intersection_point(X28,X29),X29)
      | ~ convergent_lines(X28,X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ convergent_lines(esk3_0,X2)
    | apart_point_and_line(intersection_point(esk3_0,X2),esk2_0)
    | unorthogonal_lines(esk2_0,X1)
    | unorthogonal_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    convergent_lines(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_21,c_0_29]) ).

cnf(c_0_48,negated_conjecture,
    ( convergent_lines(esk1_0,X1)
    | convergent_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_44]) ).

fof(c_0_49,plain,
    ! [X52,X53,X54] :
      ( ( ~ unorthogonal_lines(X52,X53)
        | ~ convergent_lines(X52,X53)
        | unorthogonal_lines(X52,X54)
        | unorthogonal_lines(X53,X54) )
      & ( ~ unorthogonal_lines(X52,X53)
        | ~ convergent_lines(X52,X53)
        | unorthogonal_lines(X52,X54)
        | convergent_lines(X53,X54) )
      & ( ~ unorthogonal_lines(X52,X53)
        | ~ convergent_lines(X52,X53)
        | convergent_lines(X52,X54)
        | unorthogonal_lines(X53,X54) )
      & ( ~ unorthogonal_lines(X52,X53)
        | ~ convergent_lines(X52,X53)
        | convergent_lines(X52,X54)
        | convergent_lines(X53,X54) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oac1])])])]) ).

cnf(c_0_50,plain,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk3_0,esk2_0),esk2_0)
    | unorthogonal_lines(esk3_0,X1)
    | unorthogonal_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( convergent_lines(X1,X2)
    | convergent_lines(esk1_0,X2)
    | convergent_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_48]) ).

cnf(c_0_53,plain,
    ( ~ unorthogonal_lines(X3,X1)
    | ~ convergent_lines(X3,X1)
    | convergent_lines(X3,X2)
    | unorthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( unorthogonal_lines(esk2_0,X1)
    | unorthogonal_lines(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_47])]) ).

cnf(c_0_55,negated_conjecture,
    ( convergent_lines(X1,esk3_0)
    | convergent_lines(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ convergent_lines(esk3_0,X1)
    | convergent_lines(esk3_0,X2)
    | unorthogonal_lines(X1,X2)
    | unorthogonal_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    convergent_lines(esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_21,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_59,negated_conjecture,
    ( convergent_lines(esk3_0,X1)
    | unorthogonal_lines(esk1_0,X1)
    | unorthogonal_lines(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_58]) ).

cnf(c_0_61,plain,
    ( ~ unorthogonal_lines(X3,X1)
    | ~ convergent_lines(X3,X1)
    | unorthogonal_lines(X3,X2)
    | unorthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_62,negated_conjecture,
    unorthogonal_lines(esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_21]) ).

cnf(c_0_63,negated_conjecture,
    convergent_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_21,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( unorthogonal_lines(esk2_0,X1)
    | unorthogonal_lines(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO215+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n003.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 13:30:30 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 0.14/0.44  % Version: 3.5.1
% 0.14/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.44  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44  % Starting sh5l with 300s (1) cores
% 0.14/0.44  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1932152 completed with status 0
% 0.14/0.44  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44  % No SInE strategy applied
% 0.14/0.44  % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.14/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.44  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.44  % Starting new_bool_3 with 136s (1) cores
% 0.14/0.44  % Starting new_bool_1 with 136s (1) cores
% 0.14/0.44  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1932158 completed with status 0
% 0.14/0.44  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44  % No SInE strategy applied
% 0.14/0.44  % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.14/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.44  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.44  % Preprocessing time       : 0.001 s
% 0.14/0.44  % Presaturation interreduction done
% 0.14/0.44  
% 0.14/0.44  % Proof found!
% 0.14/0.44  % SZS status Theorem
% 0.14/0.44  % SZS output start CNFRefutation
% See solution above
% 0.14/0.44  % Parsed axioms                        : 23
% 0.14/0.44  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.44  % Initial clauses                      : 28
% 0.14/0.44  % Removed in clause preprocessing      : 0
% 0.14/0.44  % Initial clauses in saturation        : 28
% 0.14/0.44  % Processed clauses                    : 434
% 0.14/0.44  % ...of these trivial                  : 3
% 0.14/0.44  % ...subsumed                          : 174
% 0.14/0.44  % ...remaining for further processing  : 257
% 0.14/0.44  % Other redundant clauses eliminated   : 0
% 0.14/0.44  % Clauses deleted for lack of memory   : 0
% 0.14/0.44  % Backward-subsumed                    : 6
% 0.14/0.44  % Backward-rewritten                   : 1
% 0.14/0.44  % Generated clauses                    : 1509
% 0.14/0.44  % ...of the previous two non-redundant : 1256
% 0.14/0.44  % ...aggressively subsumed             : 0
% 0.14/0.44  % Contextual simplify-reflections      : 0
% 0.14/0.44  % Paramodulations                      : 1369
% 0.14/0.44  % Factorizations                       : 140
% 0.14/0.44  % NegExts                              : 0
% 0.14/0.44  % Equation resolutions                 : 0
% 0.14/0.44  % Disequality decompositions           : 0
% 0.14/0.44  % Total rewrite steps                  : 257
% 0.14/0.44  % ...of those cached                   : 216
% 0.14/0.44  % Propositional unsat checks           : 0
% 0.14/0.44  %    Propositional check models        : 0
% 0.14/0.44  %    Propositional check unsatisfiable : 0
% 0.14/0.44  %    Propositional clauses             : 0
% 0.14/0.44  %    Propositional clauses after purity: 0
% 0.14/0.44  %    Propositional unsat core size     : 0
% 0.14/0.44  %    Propositional preprocessing time  : 0.000
% 0.14/0.44  %    Propositional encoding time       : 0.000
% 0.14/0.44  %    Propositional solver time         : 0.000
% 0.14/0.44  %    Success case prop preproc time    : 0.000
% 0.14/0.44  %    Success case prop encoding time   : 0.000
% 0.14/0.44  %    Success case prop solver time     : 0.000
% 0.14/0.44  % Current number of processed clauses  : 223
% 0.14/0.44  %    Positive orientable unit clauses  : 35
% 0.14/0.44  %    Positive unorientable unit clauses: 0
% 0.14/0.44  %    Negative unit clauses             : 9
% 0.14/0.44  %    Non-unit-clauses                  : 179
% 0.14/0.44  % Current number of unprocessed clauses: 865
% 0.14/0.44  % ...number of literals in the above   : 3981
% 0.14/0.44  % Current number of archived formulas  : 0
% 0.14/0.44  % Current number of archived clauses   : 34
% 0.14/0.44  % Clause-clause subsumption calls (NU) : 20234
% 0.14/0.44  % Rec. Clause-clause subsumption calls : 7629
% 0.14/0.44  % Non-unit clause-clause subsumptions  : 177
% 0.14/0.44  % Unit Clause-clause subsumption calls : 1322
% 0.14/0.44  % Rewrite failures with RHS unbound    : 0
% 0.14/0.44  % BW rewrite match attempts            : 4
% 0.14/0.44  % BW rewrite match successes           : 4
% 0.14/0.44  % Condensation attempts                : 0
% 0.14/0.44  % Condensation successes               : 0
% 0.14/0.44  % Termbank termtop insertions          : 17940
% 0.14/0.44  % Search garbage collected termcells   : 275
% 0.14/0.44  
% 0.14/0.44  % -------------------------------------------------
% 0.14/0.44  % User time                : 0.022 s
% 0.14/0.44  % System time              : 0.004 s
% 0.14/0.44  % Total time               : 0.026 s
% 0.14/0.44  % Maximum resident set size: 3404 pages
% 0.14/0.44  
% 0.14/0.44  % -------------------------------------------------
% 0.14/0.44  % User time                : 0.091 s
% 0.14/0.44  % System time              : 0.021 s
% 0.14/0.44  % Total time               : 0.111 s
% 0.14/0.44  % Maximum resident set size: 4864 pages
% 0.14/0.44  % E exiting
%------------------------------------------------------------------------------