TSTP Solution File: GEO336+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO336+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 20:01:58 EDT 2024

% Result   : Theorem 1.76s 0.76s
% Output   : CNFRefutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   60 (  25 unt;   0 def)
%            Number of atoms       :  305 ( 145 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  405 ( 160   ~; 142   |;  94   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-8 aty)
%            Number of variables   :  157 (   0 sgn  91   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('ass(cond(goal(238), 0), 1)',axiom,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => rR(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9),X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).

fof('qe(s1(plural(386)))',axiom,
    ? [X184] :
      ( vd1361 = X184
      & rpoint(X184) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).

fof('qe(s2(plural(386)))',axiom,
    ? [X24] :
      ( vd1362 = X24
      & rpoint(X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).

fof('qe(s3(plural(386)))',axiom,
    ? [X183] :
      ( vd1363 = X183
      & rpoint(X183) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).

fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
    ! [X49,X50] :
      ( ( ? [X51] :
            ( X50 = X51
            & rpoint(X51) )
        & ? [X52] :
            ( X49 = X52
            & rpoint(X52) ) )
     => vf(X49,X50) = vf(X50,X49) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof('pred(386, 7)',axiom,
    vd1361 != vd1362,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(386, 7)') ).

fof('pred(386, 8)',axiom,
    vd1361 != vd1363,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(386, 8)') ).

fof('ass(cond(goal(238), 0), 2)',axiom,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => rpoint(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X87,X88,X89] :
      ( ( rR(X88,X87,X89)
        & ? [X90] :
            ( X89 = X90
            & rpoint(X90) )
        & ? [X91] :
            ( X88 = X91
            & rpoint(X91) )
        & ? [X92] :
            ( X87 = X92
            & rpoint(X92) ) )
     => ( ~ rR(X87,X88,X89)
        & X87 != X89
        & X87 != X88
        & rR(X88,X89,X87) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof('holds(395, 1377, 0)',axiom,
    rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(395, 1377, 0)') ).

fof('qe(396)',conjecture,
    ? [X1] :
      ( vf(vd1363,X1) = vf(vd1361,vd1362)
      & rR(X1,vd1361,vd1363)
      & rpoint(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(396)') ).

fof('ass(cond(goal(238), 0), 0)',axiom,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => vf(X2,vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) = vf(X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).

fof(c_0_12,plain,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => rR(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9),X2,X4) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 1)']) ).

fof(c_0_13,plain,
    ( vd1361 = esk11_0
    & rpoint(esk11_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).

fof(c_0_14,plain,
    ( vd1362 = esk1_0
    & rpoint(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).

fof(c_0_15,plain,
    ( vd1363 = esk10_0
    & rpoint(esk10_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).

fof(c_0_16,plain,
    ! [X836,X837,X838,X839] :
      ( X837 != X838
      | ~ rpoint(X838)
      | X836 != X839
      | ~ rpoint(X839)
      | vf(X836,X837) = vf(X837,X836) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])])]) ).

fof(c_0_17,plain,
    vd1361 != vd1362,
    inference(fof_simplification,[status(thm)],['pred(386, 7)']) ).

fof(c_0_18,plain,
    vd1361 != vd1363,
    inference(fof_simplification,[status(thm)],['pred(386, 8)']) ).

fof(c_0_19,plain,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => rpoint(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 2)']) ).

fof(c_0_20,plain,
    ! [X87,X88,X89] :
      ( ( rR(X88,X87,X89)
        & ? [X90] :
            ( X89 = X90
            & rpoint(X90) )
        & ? [X91] :
            ( X88 = X91
            & rpoint(X91) )
        & ? [X92] :
            ( X87 = X92
            & rpoint(X92) ) )
     => ( ~ rR(X87,X88,X89)
        & X87 != X89
        & X87 != X88
        & rR(X88,X89,X87) ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).

fof(c_0_21,plain,
    ! [X781,X782,X783,X784,X785,X786,X787,X788] :
      ( ~ rless(vf(X785,X787),vf(X781,X783))
      | X785 = X787
      | X781 = X783
      | X787 != X788
      | ~ rpoint(X788)
      | X785 != X786
      | ~ rpoint(X786)
      | X783 != X784
      | ~ rpoint(X784)
      | X781 != X782
      | ~ rpoint(X782)
      | rR(vskolem1120(X781,X782,X783,X784,X785,X786,X787,X788),X781,X783) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_22,plain,
    rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
    inference(split_conjunct,[status(thm)],['holds(395, 1377, 0)']) ).

cnf(c_0_23,plain,
    vd1361 = esk11_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_24,plain,
    vd1362 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    vd1363 = esk10_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,plain,
    ( vf(X3,X1) = vf(X1,X3)
    | X1 != X2
    | ~ rpoint(X2)
    | X3 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_27,plain,
    vd1361 != vd1362,
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

fof(c_0_28,plain,
    vd1361 != vd1363,
    inference(fof_nnf,[status(thm)],[c_0_18]) ).

fof(c_0_29,plain,
    ! [X789,X790,X791,X792,X793,X794,X795,X796] :
      ( ~ rless(vf(X793,X795),vf(X789,X791))
      | X793 = X795
      | X789 = X791
      | X795 != X796
      | ~ rpoint(X796)
      | X793 != X794
      | ~ rpoint(X794)
      | X791 != X792
      | ~ rpoint(X792)
      | X789 != X790
      | ~ rpoint(X790)
      | rpoint(vskolem1120(X789,X790,X791,X792,X793,X794,X795,X796)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

fof(c_0_30,negated_conjecture,
    ~ ? [X1] :
        ( vf(vd1363,X1) = vf(vd1361,vd1362)
        & rR(X1,vd1361,vd1363)
        & rpoint(X1) ),
    inference(assume_negation,[status(cth)],['qe(396)']) ).

fof(c_0_31,plain,
    ! [X874,X875,X876,X877,X878,X879] :
      ( ( ~ rR(X874,X875,X876)
        | ~ rR(X875,X874,X876)
        | X876 != X877
        | ~ rpoint(X877)
        | X875 != X878
        | ~ rpoint(X878)
        | X874 != X879
        | ~ rpoint(X879) )
      & ( X874 != X876
        | ~ rR(X875,X874,X876)
        | X876 != X877
        | ~ rpoint(X877)
        | X875 != X878
        | ~ rpoint(X878)
        | X874 != X879
        | ~ rpoint(X879) )
      & ( X874 != X875
        | ~ rR(X875,X874,X876)
        | X876 != X877
        | ~ rpoint(X877)
        | X875 != X878
        | ~ rpoint(X878)
        | X874 != X879
        | ~ rpoint(X879) )
      & ( rR(X875,X876,X874)
        | ~ rR(X875,X874,X876)
        | X876 != X877
        | ~ rpoint(X877)
        | X875 != X878
        | ~ rpoint(X878)
        | X874 != X879
        | ~ rpoint(X879) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5),X3,X4)
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X4 != X7
    | ~ rpoint(X7)
    | X3 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    rless(vf(esk11_0,esk1_0),vf(esk11_0,esk10_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_23]),c_0_25]) ).

cnf(c_0_34,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).

cnf(c_0_35,plain,
    rpoint(esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_36,plain,
    rpoint(esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_37,plain,
    vd1361 != vd1362,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    vd1361 != vd1363,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5))
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X4 != X7
    | ~ rpoint(X7)
    | X3 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_40,plain,
    ! [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( rless(vf(X6,X8),vf(X2,X4))
        & X6 != X8
        & X2 != X4
        & X8 = X9
        & rpoint(X9)
        & X6 = X7
        & rpoint(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3) )
     => vf(X2,vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) = vf(X6,X8) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 0)']) ).

fof(c_0_41,negated_conjecture,
    ! [X772] :
      ( vf(vd1363,X772) != vf(vd1361,vd1362)
      | ~ rR(X772,vd1361,vd1363)
      | ~ rpoint(X772) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

cnf(c_0_42,plain,
    ( rR(X1,X2,X3)
    | ~ rR(X1,X3,X2)
    | X2 != X4
    | ~ rpoint(X4)
    | X1 != X5
    | ~ rpoint(X5)
    | X3 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ( X1 = X2
    | X3 = X4
    | rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)
    | ~ rless(vf(X3,X4),vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_44,plain,
    rless(vf(esk11_0,esk1_0),vf(esk10_0,esk11_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_45,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_46,plain,
    esk11_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_24]),c_0_23]) ).

cnf(c_0_47,plain,
    esk11_0 != esk10_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_25]),c_0_23]) ).

cnf(c_0_48,plain,
    ( X1 = X2
    | X3 = X4
    | rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))
    | ~ rless(vf(X3,X4),vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])])])]) ).

fof(c_0_49,plain,
    ! [X773,X774,X775,X776,X777,X778,X779,X780] :
      ( ~ rless(vf(X777,X779),vf(X773,X775))
      | X777 = X779
      | X773 = X775
      | X779 != X780
      | ~ rpoint(X780)
      | X777 != X778
      | ~ rpoint(X778)
      | X775 != X776
      | ~ rpoint(X776)
      | X773 != X774
      | ~ rpoint(X774)
      | vf(X773,vskolem1120(X773,X774,X775,X776,X777,X778,X779,X780)) = vf(X777,X779) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).

cnf(c_0_50,negated_conjecture,
    ( vf(vd1363,X1) != vf(vd1361,vd1362)
    | ~ rR(X1,vd1361,vd1363)
    | ~ rpoint(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X1,X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])])]) ).

cnf(c_0_52,plain,
    rR(vskolem1120(esk10_0,esk10_0,esk11_0,esk11_0,esk11_0,esk11_0,esk1_0,esk1_0),esk10_0,esk11_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_35]),c_0_45])]),c_0_46]),c_0_47]) ).

cnf(c_0_53,plain,
    rpoint(vskolem1120(esk10_0,esk10_0,esk11_0,esk11_0,esk11_0,esk11_0,esk1_0,esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_36]),c_0_35]),c_0_45])]),c_0_46]),c_0_47]) ).

cnf(c_0_54,plain,
    ( X1 = X2
    | X3 = X4
    | vf(X3,vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5)) = vf(X1,X2)
    | ~ rless(vf(X1,X2),vf(X3,X4))
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X4 != X7
    | ~ rpoint(X7)
    | X3 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( vf(esk10_0,X1) != vf(esk11_0,esk1_0)
    | ~ rpoint(X1)
    | ~ rR(X1,esk11_0,esk10_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_25]),c_0_23]),c_0_24]),c_0_23]),c_0_25]) ).

cnf(c_0_56,plain,
    rR(vskolem1120(esk10_0,esk10_0,esk11_0,esk11_0,esk11_0,esk11_0,esk1_0,esk1_0),esk11_0,esk10_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]),c_0_53]),c_0_35])]) ).

cnf(c_0_57,plain,
    ( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
    | X1 = X2
    | X3 = X4
    | ~ rless(vf(X3,X4),vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])])])]) ).

cnf(c_0_58,negated_conjecture,
    vf(esk10_0,vskolem1120(esk10_0,esk10_0,esk11_0,esk11_0,esk11_0,esk11_0,esk1_0,esk1_0)) != vf(esk11_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_53])]) ).

cnf(c_0_59,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_44]),c_0_36]),c_0_35]),c_0_45])]),c_0_46]),c_0_47]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GEO336+1 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 14:39:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/0.76  # Version: 3.1.0
% 1.76/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.76/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.76/0.76  # Starting new_bool_3 with 300s (1) cores
% 1.76/0.76  # Starting new_bool_1 with 300s (1) cores
% 1.76/0.76  # Starting sh5l with 300s (1) cores
% 1.76/0.76  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28247 completed with status 0
% 1.76/0.76  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.76/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.76/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.76/0.76  # No SInE strategy applied
% 1.76/0.76  # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.76/0.76  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.76  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.76/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.76/0.76  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 1.76/0.76  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.76/0.76  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 1.76/0.76  # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 28265 completed with status 0
% 1.76/0.76  # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 1.76/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.76/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.76/0.76  # No SInE strategy applied
% 1.76/0.76  # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.76/0.76  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.76  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.76/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.76/0.76  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 1.76/0.76  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.76/0.76  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 1.76/0.76  # Preprocessing time       : 0.010 s
% 1.76/0.76  # Presaturation interreduction done
% 1.76/0.76  
% 1.76/0.76  # Proof found!
% 1.76/0.76  # SZS status Theorem
% 1.76/0.76  # SZS output start CNFRefutation
% See solution above
% 1.76/0.76  # Parsed axioms                        : 126
% 1.76/0.76  # Removed by relevancy pruning/SinE    : 0
% 1.76/0.76  # Initial clauses                      : 284
% 1.76/0.76  # Removed in clause preprocessing      : 2
% 1.76/0.76  # Initial clauses in saturation        : 282
% 1.76/0.76  # Processed clauses                    : 1241
% 1.76/0.76  # ...of these trivial                  : 12
% 1.76/0.76  # ...subsumed                          : 231
% 1.76/0.76  # ...remaining for further processing  : 997
% 1.76/0.76  # Other redundant clauses eliminated   : 1194
% 1.76/0.76  # Clauses deleted for lack of memory   : 0
% 1.76/0.76  # Backward-subsumed                    : 12
% 1.76/0.76  # Backward-rewritten                   : 17
% 1.76/0.76  # Generated clauses                    : 2375
% 1.76/0.76  # ...of the previous two non-redundant : 2339
% 1.76/0.76  # ...aggressively subsumed             : 0
% 1.76/0.76  # Contextual simplify-reflections      : 41
% 1.76/0.76  # Paramodulations                      : 2069
% 1.76/0.76  # Factorizations                       : 8
% 1.76/0.76  # NegExts                              : 0
% 1.76/0.76  # Equation resolutions                 : 1228
% 1.76/0.76  # Disequality decompositions           : 0
% 1.76/0.76  # Total rewrite steps                  : 1020
% 1.76/0.76  # ...of those cached                   : 989
% 1.76/0.76  # Propositional unsat checks           : 0
% 1.76/0.76  #    Propositional check models        : 0
% 1.76/0.76  #    Propositional check unsatisfiable : 0
% 1.76/0.76  #    Propositional clauses             : 0
% 1.76/0.76  #    Propositional clauses after purity: 0
% 1.76/0.76  #    Propositional unsat core size     : 0
% 1.76/0.76  #    Propositional preprocessing time  : 0.000
% 1.76/0.76  #    Propositional encoding time       : 0.000
% 1.76/0.76  #    Propositional solver time         : 0.000
% 1.76/0.76  #    Success case prop preproc time    : 0.000
% 1.76/0.76  #    Success case prop encoding time   : 0.000
% 1.76/0.76  #    Success case prop solver time     : 0.000
% 1.76/0.76  # Current number of processed clauses  : 430
% 1.76/0.76  #    Positive orientable unit clauses  : 39
% 1.76/0.76  #    Positive unorientable unit clauses: 0
% 1.76/0.76  #    Negative unit clauses             : 33
% 1.76/0.76  #    Non-unit-clauses                  : 358
% 1.76/0.76  # Current number of unprocessed clauses: 1589
% 1.76/0.76  # ...number of literals in the above   : 21519
% 1.76/0.76  # Current number of archived formulas  : 0
% 1.76/0.76  # Current number of archived clauses   : 309
% 1.76/0.76  # Clause-clause subsumption calls (NU) : 322699
% 1.76/0.76  # Rec. Clause-clause subsumption calls : 11900
% 1.76/0.76  # Non-unit clause-clause subsumptions  : 271
% 1.76/0.76  # Unit Clause-clause subsumption calls : 2677
% 1.76/0.76  # Rewrite failures with RHS unbound    : 0
% 1.76/0.76  # BW rewrite match attempts            : 16
% 1.76/0.76  # BW rewrite match successes           : 8
% 1.76/0.76  # Condensation attempts                : 0
% 1.76/0.76  # Condensation successes               : 0
% 1.76/0.76  # Termbank termtop insertions          : 141786
% 1.76/0.76  # Search garbage collected termcells   : 15385
% 1.76/0.76  
% 1.76/0.76  # -------------------------------------------------
% 1.76/0.76  # User time                : 0.233 s
% 1.76/0.76  # System time              : 0.009 s
% 1.76/0.76  # Total time               : 0.242 s
% 1.76/0.76  # Maximum resident set size: 4532 pages
% 1.76/0.76  
% 1.76/0.76  # -------------------------------------------------
% 1.76/0.76  # User time                : 1.110 s
% 1.76/0.76  # System time              : 0.039 s
% 1.76/0.76  # Total time               : 1.149 s
% 1.76/0.76  # Maximum resident set size: 2576 pages
% 1.76/0.76  % E---3.1 exiting
%------------------------------------------------------------------------------