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E---3.5.1.CAX-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO297+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 12:28:07 PM UTC 2026

% Result   : ContradictoryAxioms 0.72s 0.63s
% Output   : CNFRefutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   65 (  44 unt;   0 def)
%            Number of atoms       :  285 ( 117 equ)
%            Maximal formula atoms :   43 (   4 avg)
%            Number of connectives :  343 ( 123   ~; 107   |; 106   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-3 aty)
%            Number of variables   :  101 (   0 sgn  49   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
    ( ? [X15] :
        ( rpoint(X15)
        & vd1178 = X15 )
    & ? [X14] :
        ( rpoint(X14)
        & vd1179 = X14 )
    & ? [X13] :
        ( rpoint(X13)
        & vd1180 = X13 )
    & vd1178 != vd1179
    & vd1178 != vd1180
    & vd1179 != vd1180
    & ? [X12] :
        ( rpoint(X12)
        & vd1185 = X12 )
    & ? [X11] :
        ( rpoint(X11)
        & vd1186 = X11 )
    & ? [X10] :
        ( rpoint(X10)
        & vd1187 = X10 )
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & ~ ? [X9] :
          ( rline(X9)
          & ron(vd1185,X9)
          & ron(vd1186,X9)
          & ron(vd1187,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( rpoint(X2)
        & X1 = X2
        & rpoint(X4)
        & X3 = X4
        & rpoint(X6)
        & X5 = X6
        & rline(X8)
        & X7 = X8
        & X1 != X3
        & X1 != X5
        & ron(X1,X7)
        & ron(X3,X7) )
     => ( ( ron(X5,X7)
          & ~ rR(X1,X3,X5) )
      <=> vangle(X3,X1,X5) = v0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X95,X96,X97,X98] :
      ( ( ? [X100] :
            ( rpoint(X100)
            & X95 = X100 )
        & ? [X99] :
            ( rpoint(X99)
            & X96 = X99 )
        & rline(X98)
        & X97 = X98
        & rS(X95,X96,X97) )
     => ~ ron(X95,X97) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
    ! [X46,X47,X48,X49] :
      ( ( ? [X51] :
            ( rpoint(X51)
            & X46 = X51 )
        & ? [X50] :
            ( rpoint(X50)
            & X47 = X50 )
        & rline(X49)
        & X48 = X49
        & rS(X46,X47,X48) )
     => rS(X47,X46,X48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).

fof('qe(s3(plural(271)))',axiom,
    ? [X16] :
      ( rpoint(X16)
      & vd1201 = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).

fof('holds(306, 1242, 0)',axiom,
    rS(vd1200,vd1187,vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(306, 1242, 0)') ).

fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
    vd1200 = vd1186,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof('neg(neg(296))',axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).

fof('pred(294, 0)',axiom,
    rline(vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).

fof('holds(310, 1246, 0)',axiom,
    vangle(vd1187,vd1185,vd1201) = v0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).

fof('pred(293, 0)',axiom,
    rline(vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).

fof('pred(s1(plural(293)), 0)',axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).

fof('pred(311, 0)',axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(311, 0)') ).

fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof('pred(269, 0)',axiom,
    rline(vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).

fof('pred(s1(plural(294)), 0)',axiom,
    ron(vd1185,vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).

fof('pred(s3(plural(274)), 0)',axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).

fof(c_0_17,plain,
    ( ? [X15] :
        ( rpoint(X15)
        & vd1178 = X15 )
    & ? [X14] :
        ( rpoint(X14)
        & vd1179 = X14 )
    & ? [X13] :
        ( rpoint(X13)
        & vd1180 = X13 )
    & vd1178 != vd1179
    & vd1178 != vd1180
    & vd1179 != vd1180
    & ? [X12] :
        ( rpoint(X12)
        & vd1185 = X12 )
    & ? [X11] :
        ( rpoint(X11)
        & vd1186 = X11 )
    & ? [X10] :
        ( rpoint(X10)
        & vd1187 = X10 )
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & ~ ? [X9] :
          ( rline(X9)
          & ron(vd1185,X9)
          & ron(vd1186,X9)
          & ron(vd1187,X9) ) ),
    inference(fof_simplification,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))']) ).

fof(c_0_18,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( rpoint(X2)
        & X1 = X2
        & rpoint(X4)
        & X3 = X4
        & rpoint(X6)
        & X5 = X6
        & rline(X8)
        & X7 = X8
        & X1 != X3
        & X1 != X5
        & ron(X1,X7)
        & ron(X3,X7) )
     => ( ( ron(X5,X7)
          & ~ rR(X1,X3,X5) )
      <=> vangle(X3,X1,X5) = v0 ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).

fof(c_0_19,plain,
    ! [X95,X96,X97,X98] :
      ( ( ? [X100] :
            ( rpoint(X100)
            & X95 = X100 )
        & ? [X99] :
            ( rpoint(X99)
            & X96 = X99 )
        & rline(X98)
        & X97 = X98
        & rS(X95,X96,X97) )
     => ~ ron(X95,X97) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).

fof(c_0_20,plain,
    ! [X800,X801,X802,X803,X804,X805] :
      ( rS(X801,X800,X802)
      | ~ rpoint(X805)
      | X800 != X805
      | ~ rpoint(X804)
      | X801 != X804
      | ~ rline(X803)
      | X802 != X803
      | ~ rS(X800,X801,X802) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])])]) ).

fof(c_0_21,plain,
    ! [X763] :
      ( rpoint(esk6_0)
      & vd1178 = esk6_0
      & rpoint(esk5_0)
      & vd1179 = esk5_0
      & rpoint(esk4_0)
      & vd1180 = esk4_0
      & vd1178 != vd1179
      & vd1178 != vd1180
      & vd1179 != vd1180
      & rpoint(esk3_0)
      & vd1185 = esk3_0
      & rpoint(esk2_0)
      & vd1186 = esk2_0
      & rpoint(esk1_0)
      & vd1187 = esk1_0
      & vf(vd1178,vd1179) = vf(vd1185,vd1186)
      & vf(vd1178,vd1180) = vf(vd1185,vd1187)
      & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
      & ( ~ rline(X763)
        | ~ ron(vd1185,X763)
        | ~ ron(vd1186,X763)
        | ~ ron(vd1187,X763) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).

fof(c_0_22,plain,
    ! [X755,X756,X757,X758,X759,X760,X761,X762] :
      ( ( ~ rpoint(X756)
        | X755 != X756
        | ~ rpoint(X758)
        | X757 != X758
        | ~ rpoint(X760)
        | X759 != X760
        | ~ rline(X762)
        | X761 != X762
        | X755 = X757
        | X755 = X759
        | ~ ron(X755,X761)
        | ~ ron(X757,X761)
        | vangle(X757,X755,X759) != v0
        | ron(X759,X761) )
      & ( ~ rpoint(X756)
        | X755 != X756
        | ~ rpoint(X758)
        | X757 != X758
        | ~ rpoint(X760)
        | X759 != X760
        | ~ rline(X762)
        | X761 != X762
        | X755 = X757
        | X755 = X759
        | ~ ron(X755,X761)
        | ~ ron(X757,X761)
        | vangle(X757,X755,X759) != v0
        | ~ rR(X755,X757,X759) )
      & ( ~ rpoint(X756)
        | X755 != X756
        | ~ rpoint(X758)
        | X757 != X758
        | ~ rpoint(X760)
        | X759 != X760
        | ~ rline(X762)
        | X761 != X762
        | X755 = X757
        | X755 = X759
        | ~ ron(X755,X761)
        | ~ ron(X757,X761)
        | vangle(X757,X755,X759) = v0
        | ~ ron(X759,X761)
        | rR(X755,X757,X759) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

fof(c_0_23,plain,
    ( rpoint(esk7_0)
    & vd1201 = esk7_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).

fof(c_0_24,plain,
    ! [X865,X866,X867,X868,X869,X870] :
      ( ~ ron(X865,X867)
      | ~ rpoint(X870)
      | X865 != X870
      | ~ rpoint(X869)
      | X866 != X869
      | ~ rline(X868)
      | X867 != X868
      | ~ rS(X865,X866,X867) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

cnf(c_0_25,plain,
    ( ~ rpoint(X6)
    | X1 != X6
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rline(X4)
    | X3 != X4
    | ~ rS(X1,X2,X3)
    | rS(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    rS(vd1200,vd1187,vd1234),
    inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']) ).

cnf(c_0_27,plain,
    vd1200 = vd1186,
    inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).

cnf(c_0_28,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    vd1186 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    vd1187 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( ~ rpoint(X8)
    | X4 != X8
    | ~ rpoint(X7)
    | X3 != X7
    | ~ rpoint(X6)
    | X1 != X6
    | ~ rline(X5)
    | X2 != X5
    | ~ ron(X4,X2)
    | ~ ron(X3,X2)
    | vangle(X3,X4,X1) != v0
    | X4 = X3
    | X4 = X1
    | ron(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_34,plain,
    vd1185 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,plain,
    rpoint(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_36,plain,
    vd1201 = esk7_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_37,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).

cnf(c_0_38,plain,
    ( ~ ron(X1,X3)
    | ~ rpoint(X6)
    | X1 != X6
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rline(X4)
    | X3 != X4
    | ~ rS(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_39,plain,
    ( ~ rline(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rS(X2,X1,X3)
    | rS(X1,X2,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])]) ).

cnf(c_0_40,plain,
    rS(vd1186,vd1187,vd1234),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_41,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_42,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_43,plain,
    rline(vd1234),
    inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).

cnf(c_0_44,plain,
    ( ~ ron(X1,X4)
    | ~ ron(X2,X4)
    | ~ rline(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vangle(X1,X2,X3) != v0
    | ron(X3,X4)
    | X3 = X2
    | X1 = X2 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_45,plain,
    vangle(vd1187,vd1185,vd1201) = v0,
    inference(split_conjunct,[status(thm)],['holds(310, 1246, 0)']) ).

cnf(c_0_46,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_47,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_48,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_nnf,[status(thm)],[c_0_37]) ).

cnf(c_0_49,plain,
    ( ~ ron(X1,X3)
    | ~ rline(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rS(X1,X2,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])])]) ).

cnf(c_0_50,plain,
    rS(vd1187,vd1186,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_43])]) ).

cnf(c_0_51,plain,
    ( ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1)
    | ~ rline(X1)
    | ron(vd1201,X1)
    | vd1187 = vd1185
    | vd1201 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_42]),c_0_47])]) ).

cnf(c_0_52,plain,
    rline(vd1232),
    inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).

cnf(c_0_53,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).

cnf(c_0_54,plain,
    ron(vd1187,vd1232),
    inference(split_conjunct,[status(thm)],['pred(311, 0)']) ).

cnf(c_0_55,plain,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).

cnf(c_0_57,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).

cnf(c_0_58,plain,
    ~ ron(vd1187,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]),c_0_41]),c_0_43])]) ).

cnf(c_0_59,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1185 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]),c_0_55]) ).

cnf(c_0_60,plain,
    ron(vd1185,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).

cnf(c_0_61,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_56]),c_0_47]),c_0_42]),c_0_57])]) ).

cnf(c_0_62,plain,
    vd1201 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

cnf(c_0_63,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).

cnf(c_0_64,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO297+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 15:13:18 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.63  % Version: 3.5.1
% 0.72/0.63  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.72/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.63  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.72/0.63  % Starting new_bool_3 with 300s (1) cores
% 0.72/0.63  % Starting new_bool_1 with 300s (1) cores
% 0.72/0.63  % Starting sh5l with 300s (1) cores
% 0.72/0.63  % sh5l with pid 1276103 completed with status 9
% 0.72/0.63  % new_bool_1 with pid 1276102 completed with status 9
% 0.72/0.63  % new_bool_3 with pid 1276101 completed with status 9
% 0.72/0.63  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1276100 completed with status 0
% 0.72/0.63  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.72/0.63  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.72/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.63  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.72/0.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.72/0.63  % No SInE strategy applied
% 0.72/0.63  % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.72/0.63  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.72/0.63  % Starting SubtermCWHack with 136s (1) cores
% 0.72/0.63  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.72/0.63  % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.72/0.63  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.72/0.63  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.72/0.63  % G-E--_302_C18_F1_URBAN_S0Y with pid 1276145 completed with status 0
% 0.72/0.63  % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 0.72/0.63  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.72/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.63  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.72/0.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.72/0.63  % No SInE strategy applied
% 0.72/0.63  % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.72/0.63  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.72/0.63  % Starting SubtermCWHack with 136s (1) cores
% 0.72/0.63  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.72/0.63  % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.72/0.63  % Preprocessing time       : 0.018 s
% 0.72/0.63  
% 0.72/0.63  % Proof found!
% 0.72/0.63  % SZS status ContradictoryAxioms
% 0.72/0.63  % SZS output start CNFRefutation
% See solution above
% 0.72/0.63  % Parsed axioms                        : 156
% 0.72/0.63  % Removed by relevancy pruning/SinE    : 0
% 0.72/0.63  % Initial clauses                      : 323
% 0.72/0.63  % Removed in clause preprocessing      : 3
% 0.72/0.63  % Initial clauses in saturation        : 320
% 0.72/0.63  % Processed clauses                    : 637
% 0.72/0.63  % ...of these trivial                  : 23
% 0.72/0.63  % ...subsumed                          : 50
% 0.72/0.63  % ...remaining for further processing  : 564
% 0.72/0.63  % Other redundant clauses eliminated   : 1112
% 0.72/0.63  % Clauses deleted for lack of memory   : 0
% 0.72/0.63  % Backward-subsumed                    : 4
% 0.72/0.63  % Backward-rewritten                   : 43
% 0.72/0.63  % Generated clauses                    : 1310
% 0.72/0.63  % ...of the previous two non-redundant : 1261
% 0.72/0.63  % ...aggressively subsumed             : 0
% 0.72/0.63  % Contextual simplify-reflections      : 10
% 0.72/0.63  % Paramodulations                      : 1056
% 0.72/0.63  % Factorizations                       : 0
% 0.72/0.63  % NegExts                              : 0
% 0.72/0.63  % Equation resolutions                 : 1126
% 0.72/0.63  % Disequality decompositions           : 0
% 0.72/0.63  % Total rewrite steps                  : 677
% 0.72/0.63  % ...of those cached                   : 625
% 0.72/0.63  % Propositional unsat checks           : 0
% 0.72/0.63  %    Propositional check models        : 0
% 0.72/0.63  %    Propositional check unsatisfiable : 0
% 0.72/0.63  %    Propositional clauses             : 0
% 0.72/0.63  %    Propositional clauses after purity: 0
% 0.72/0.63  %    Propositional unsat core size     : 0
% 0.72/0.63  %    Propositional preprocessing time  : 0.000
% 0.72/0.63  %    Propositional encoding time       : 0.000
% 0.72/0.63  %    Propositional solver time         : 0.000
% 0.72/0.63  %    Success case prop preproc time    : 0.000
% 0.72/0.63  %    Success case prop encoding time   : 0.000
% 0.72/0.63  %    Success case prop solver time     : 0.000
% 0.72/0.63  % Current number of processed clauses  : 277
% 0.72/0.63  %    Positive orientable unit clauses  : 41
% 0.72/0.63  %    Positive unorientable unit clauses: 0
% 0.72/0.63  %    Negative unit clauses             : 12
% 0.72/0.63  %    Non-unit-clauses                  : 224
% 0.72/0.63  % Current number of unprocessed clauses: 907
% 0.72/0.63  % ...number of literals in the above   : 8784
% 0.72/0.63  % Current number of archived formulas  : 0
% 0.72/0.63  % Current number of archived clauses   : 47
% 0.72/0.63  % Clause-clause subsumption calls (NU) : 44782
% 0.72/0.63  % Rec. Clause-clause subsumption calls : 3053
% 0.72/0.63  % Non-unit clause-clause subsumptions  : 53
% 0.72/0.63  % Unit Clause-clause subsumption calls : 246
% 0.72/0.63  % Rewrite failures with RHS unbound    : 0
% 0.72/0.63  % BW rewrite match attempts            : 4
% 0.72/0.63  % BW rewrite match successes           : 3
% 0.72/0.63  % Condensation attempts                : 0
% 0.72/0.63  % Condensation successes               : 0
% 0.72/0.63  % Termbank termtop insertions          : 93591
% 0.72/0.63  % Search garbage collected termcells   : 14388
% 0.72/0.63  
% 0.72/0.63  % -------------------------------------------------
% 0.72/0.63  % User time                : 0.172 s
% 0.72/0.63  % System time              : 0.015 s
% 0.72/0.63  % Total time               : 0.187 s
% 0.72/0.63  % Maximum resident set size: 6244 pages
% 0.72/0.63  
% 0.72/0.63  % -------------------------------------------------
% 0.72/0.63  % User time                : 0.789 s
% 0.72/0.63  % System time              : 0.105 s
% 0.72/0.63  % Total time               : 0.894 s
% 0.72/0.63  % Maximum resident set size: 5376 pages
% 0.72/0.63  % E exiting
%------------------------------------------------------------------------------