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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GEO294+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n001.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 : Tue May  5 04:20:15 PM UTC 2026

% Result   : Theorem 2.01s 2.01s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   62 (  38 unt;   0 def)
%            Number of atoms       :  300 ( 124 equ)
%            Maximal formula atoms :   43 (   4 avg)
%            Number of connectives :  380 ( 142   ~; 140   |;  91   &)
%                                         (   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    :   20 (  20 usr;  18 con; 0-3 aty)
%            Number of variables   :  104 (   0 sgn  51   !;  16   ?)

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

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,
    ( ~ ? [X9] :
          ( ron(vd1187,X9)
          & ron(vd1186,X9)
          & ron(vd1185,X9)
          & rline(X9) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X10] :
        ( vd1187 = X10
        & rpoint(X10) )
    & ? [X11] :
        ( vd1186 = X11
        & rpoint(X11) )
    & ? [X12] :
        ( vd1185 = X12
        & rpoint(X12) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X13] :
        ( vd1180 = X13
        & rpoint(X13) )
    & ? [X14] :
        ( vd1179 = X14
        & rpoint(X14) )
    & ? [X15] :
        ( vd1178 = X15
        & rpoint(X15) ) ),
    file('/export/starexec/sandbox/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('qe(s3(plural(271)))',axiom,
    ? [X18] :
      ( vd1201 = X18
      & rpoint(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).

fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
    ! [X331,X332,X333,X334] :
      ( ( ron(X332,X334)
        & ron(X332,X333)
        & ron(X331,X334)
        & ron(X331,X333)
        & ? [X335] :
            ( X334 = X335
            & rline(X335) )
        & ? [X336] :
            ( X333 = X336
            & rline(X336) )
        & X331 != X332
        & ? [X337] :
            ( X332 = X337
            & rpoint(X337) )
        & ? [X338] :
            ( X331 = X338
            & rpoint(X338) ) )
     => X333 = X334 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof('holds(302, 1241, 0)',axiom,
    vangle(vd1201,vd1185,vd1187) = v0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).

fof('pred(s2(plural(293)), 0)',axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).

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

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

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

fof('pred(s2(plural(294)), 0)',axiom,
    ron(vd1201,vd1234),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).

fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X257,X258,X259,X260] :
      ( ( rS(X257,X258,X259)
        & X259 = X260
        & rline(X260)
        & ? [X261] :
            ( X258 = X261
            & rpoint(X261) )
        & ? [X262] :
            ( X257 = X262
            & rpoint(X262) ) )
     => ~ ron(X257,X259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

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

fof('pred(303, 0)',conjecture,
    ron(vd1201,vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(303, 0)') ).

fof('neg(neg(270))',axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).

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

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

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

fof(c_0_17,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( ron(X3,X7)
        & ron(X1,X7)
        & X1 != X5
        & X1 != X3
        & X7 = X8
        & rline(X8)
        & X5 = X6
        & rpoint(X6)
        & X3 = X4
        & rpoint(X4)
        & X1 = X2
        & rpoint(X2) )
     => ( ( ~ rR(X1,X3,X5)
          & ron(X5,X7) )
      <=> vangle(X3,X1,X5) = v0 ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).

fof(c_0_18,plain,
    ! [X1539,X1540,X1541,X1542,X1543,X1544,X1545,X1546] :
      ( ( rR(X1539,X1541,X1543)
        | ~ ron(X1543,X1545)
        | vangle(X1541,X1539,X1543) = v0
        | ~ ron(X1541,X1545)
        | ~ ron(X1539,X1545)
        | X1539 = X1543
        | X1539 = X1541
        | X1545 != X1546
        | ~ rline(X1546)
        | X1543 != X1544
        | ~ rpoint(X1544)
        | X1541 != X1542
        | ~ rpoint(X1542)
        | X1539 != X1540
        | ~ rpoint(X1540) )
      & ( ~ rR(X1539,X1541,X1543)
        | vangle(X1541,X1539,X1543) != v0
        | ~ ron(X1541,X1545)
        | ~ ron(X1539,X1545)
        | X1539 = X1543
        | X1539 = X1541
        | X1545 != X1546
        | ~ rline(X1546)
        | X1543 != X1544
        | ~ rpoint(X1544)
        | X1541 != X1542
        | ~ rpoint(X1542)
        | X1539 != X1540
        | ~ rpoint(X1540) )
      & ( ron(X1543,X1545)
        | vangle(X1541,X1539,X1543) != v0
        | ~ ron(X1541,X1545)
        | ~ ron(X1539,X1545)
        | X1539 = X1543
        | X1539 = X1541
        | X1545 != X1546
        | ~ rline(X1546)
        | X1543 != X1544
        | ~ rpoint(X1544)
        | X1541 != X1542
        | ~ rpoint(X1542)
        | X1539 != X1540
        | ~ rpoint(X1540) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_19,plain,
    ! [X1547] :
      ( ( ~ ron(vd1187,X1547)
        | ~ ron(vd1186,X1547)
        | ~ ron(vd1185,X1547)
        | ~ rline(X1547) )
      & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
      & vf(vd1178,vd1180) = vf(vd1185,vd1187)
      & vf(vd1178,vd1179) = vf(vd1185,vd1186)
      & vd1187 = esk1_0
      & rpoint(esk1_0)
      & vd1186 = esk2_0
      & rpoint(esk2_0)
      & vd1185 = esk3_0
      & rpoint(esk3_0)
      & vd1179 != vd1180
      & vd1178 != vd1180
      & vd1178 != vd1179
      & vd1180 = esk4_0
      & rpoint(esk4_0)
      & vd1179 = esk5_0
      & rpoint(esk5_0)
      & vd1178 = esk6_0
      & rpoint(esk6_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[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_20,plain,
    ( vd1201 = esk7_0
    & rpoint(esk7_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).

fof(c_0_21,plain,
    ! [X1869,X1870,X1871,X1872,X1873,X1874,X1875,X1876] :
      ( ~ ron(X1870,X1872)
      | ~ ron(X1870,X1871)
      | ~ ron(X1869,X1872)
      | ~ ron(X1869,X1871)
      | X1872 != X1873
      | ~ rline(X1873)
      | X1871 != X1874
      | ~ rline(X1874)
      | X1869 = X1870
      | X1870 != X1875
      | ~ rpoint(X1875)
      | X1869 != X1876
      | ~ rpoint(X1876)
      | X1871 = X1872 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).

cnf(c_0_22,plain,
    ( ron(X1,X2)
    | X4 = X1
    | X4 = X3
    | vangle(X3,X4,X1) != v0
    | ~ ron(X3,X2)
    | ~ ron(X4,X2)
    | X2 != X5
    | ~ rline(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X3 != X7
    | ~ rpoint(X7)
    | X4 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,plain,
    vd1185 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    rpoint(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    vd1201 = esk7_0,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    vd1187 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    ( X4 = X1
    | X3 = X2
    | ~ ron(X1,X2)
    | ~ ron(X1,X3)
    | ~ ron(X4,X2)
    | ~ ron(X4,X3)
    | X2 != X5
    | ~ rline(X5)
    | X3 != X6
    | ~ rline(X6)
    | X1 != X7
    | ~ rpoint(X7)
    | X4 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | vangle(X1,X2,X3) != v0
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rline(X4)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_31,plain,
    vangle(vd1201,vd1185,vd1187) = v0,
    inference(split_conjunct,[status(thm)],['holds(302, 1241, 0)']) ).

cnf(c_0_32,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_33,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_34,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | X3 = X4
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rline(X2)
    | ~ rline(X1)
    | ~ ron(X4,X2)
    | ~ ron(X4,X1)
    | ~ ron(X3,X2)
    | ~ ron(X3,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])])]) ).

cnf(c_0_36,plain,
    ron(vd1187,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).

cnf(c_0_37,plain,
    rline(vd1232),
    inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).

cnf(c_0_38,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1185
    | ron(vd1187,X1)
    | ~ rline(X1)
    | ~ ron(vd1185,X1)
    | ~ ron(vd1201,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_39,plain,
    rline(vd1234),
    inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).

cnf(c_0_40,plain,
    ron(vd1185,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).

cnf(c_0_41,plain,
    ron(vd1201,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']) ).

fof(c_0_42,plain,
    ! [X257,X258,X259,X260] :
      ( ( rS(X257,X258,X259)
        & X259 = X260
        & rline(X260)
        & ? [X261] :
            ( X258 = X261
            & rpoint(X261) )
        & ? [X262] :
            ( X257 = X262
            & rpoint(X262) ) )
     => ~ ron(X257,X259) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).

cnf(c_0_43,plain,
    ( X1 = vd1232
    | X2 = vd1187
    | ~ rpoint(X2)
    | ~ rline(X1)
    | ~ ron(vd1187,X1)
    | ~ ron(X2,vd1232)
    | ~ ron(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34]),c_0_37])]) ).

cnf(c_0_44,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | ron(vd1187,vd1234) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]) ).

fof(c_0_45,plain,
    ! [X1795,X1796,X1797,X1798,X1799,X1800] :
      ( ~ rS(X1795,X1796,X1797)
      | X1797 != X1798
      | ~ rline(X1798)
      | X1796 != X1799
      | ~ rpoint(X1799)
      | X1795 != X1800
      | ~ rpoint(X1800)
      | ~ ron(X1795,X1797) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

cnf(c_0_46,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1185
    | vd1234 = vd1232
    | X1 = vd1187
    | ~ rpoint(X1)
    | ~ ron(X1,vd1232)
    | ~ ron(X1,vd1234) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_39])]) ).

cnf(c_0_47,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).

fof(c_0_48,negated_conjecture,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['pred(303, 0)'])]) ).

cnf(c_0_49,plain,
    ( ~ rS(X1,X2,X3)
    | X3 != X4
    | ~ rline(X4)
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | ~ ron(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_50,plain,
    ~ ron(vd1187,vd1197),
    inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).

cnf(c_0_51,plain,
    ( vd1234 = vd1232
    | vd1187 = vd1185
    | vd1201 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_32]),c_0_47])]) ).

cnf(c_0_52,negated_conjecture,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,plain,
    ( ~ rS(X1,X2,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])])]) ).

cnf(c_0_54,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).

cnf(c_0_55,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).

cnf(c_0_56,plain,
    ~ ron(vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_57,plain,
    ( vd1201 = vd1185
    | vd1187 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_52]) ).

cnf(c_0_58,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).

cnf(c_0_59,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_53,c_0_54]),c_0_33]),c_0_34]),c_0_55])]) ).

cnf(c_0_60,plain,
    vd1201 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_61,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO294+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32  % Computer : n001.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Mon May  4 17:52:18 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 2.01/2.01  % Version  : CSE_E---1.7
% 2.01/2.01  % Problem  : theBenchmark.p
% 2.01/2.01  % SZS status Theorem for theBenchmark.p
% 2.01/2.01  % SZS output start CNFRefutation
% See solution above
% 2.01/2.01  % Total time : 1.424s
%------------------------------------------------------------------------------