TSTP Solution File: GEO297+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 : Wed Aug 30 22:47:43 EDT 2023
% Result : Theorem 0.53s 1.04s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 110
% Syntax : Number of formulae : 155 ( 33 unt; 95 typ; 0 def)
% Number of atoms : 303 ( 114 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 398 ( 155 ~; 141 |; 94 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 261 ( 70 >; 191 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 81 ( 81 usr; 25 con; 0-18 aty)
% Number of variables : 127 ( 0 sgn; 62 !; 17 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1187: $i ).
tff(decl_23,type,
vd1232: $i ).
tff(decl_24,type,
ron: ( $i * $i ) > $o ).
tff(decl_25,type,
vd1185: $i ).
tff(decl_26,type,
vd1201: $i ).
tff(decl_27,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
v0: $i ).
tff(decl_29,type,
vd1200: $i ).
tff(decl_30,type,
vd1199: $i ).
tff(decl_31,type,
vd1186: $i ).
tff(decl_32,type,
vd1179: $i ).
tff(decl_33,type,
vd1178: $i ).
tff(decl_34,type,
vd1180: $i ).
tff(decl_35,type,
rline: $i > $o ).
tff(decl_36,type,
rpoint: $i > $o ).
tff(decl_37,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
vf: ( $i * $i ) > $i ).
tff(decl_39,type,
vplus: ( $i * $i ) > $i ).
tff(decl_40,type,
vd1197: $i ).
tff(decl_41,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
vd1234: $i ).
tff(decl_43,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_44,type,
rless: ( $i * $i ) > $o ).
tff(decl_45,type,
rinside: ( $i * $i ) > $o ).
tff(decl_46,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
rreal: $i > $o ).
tff(decl_48,type,
vd684: $i ).
tff(decl_49,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_50,type,
rcircle: $i > $o ).
tff(decl_51,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
vd14: $i ).
tff(decl_53,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
rtriangle: $i > $o ).
tff(decl_55,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
rleq: ( $i * $i ) > $o ).
tff(decl_58,type,
vperp: $i ).
tff(decl_59,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_60,type,
esk1_0: $i ).
tff(decl_61,type,
esk2_0: $i ).
tff(decl_62,type,
esk3_0: $i ).
tff(decl_63,type,
esk4_0: $i ).
tff(decl_64,type,
esk5_0: $i ).
tff(decl_65,type,
esk6_0: $i ).
tff(decl_66,type,
esk7_0: $i ).
tff(decl_67,type,
esk8_0: $i ).
tff(decl_68,type,
esk9_0: $i ).
tff(decl_69,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk22_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk27_1: $i > $i ).
tff(decl_87,type,
esk28_1: $i > $i ).
tff(decl_88,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk31_1: $i > $i ).
tff(decl_91,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk33_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk38_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk44_1: $i > $i ).
tff(decl_104,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk48_1: $i > $i ).
tff(decl_108,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk54_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
esk55_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
esk56_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
esk57_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X95,X96,X97,X98] :
( ( rS(X95,X96,X97)
& X97 = X98
& rline(X98)
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) ) )
=> ~ ron(X95,X97) ),
file('/export/starexec/sandbox/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] :
( ( rS(X46,X47,X48)
& X48 = X49
& rline(X49)
& ? [X50] :
( X47 = X50
& rpoint(X50) )
& ? [X51] :
( X46 = X51
& rpoint(X51) ) )
=> rS(X47,X46,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof('qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))',axiom,
! [X348,X349,X350,X351,X352] :
( ( rS(X348,X350,X351)
& rS(X348,X349,X351)
& X351 = X352
& rline(X352)
& ? [X353] :
( X350 = X353
& rpoint(X353) )
& ? [X354] :
( X349 = X354
& rpoint(X354) )
& ? [X355] :
( X348 = X355
& rpoint(X355) ) )
=> rS(X349,X350,X351) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof('qe(s3(plural(271)))',axiom,
? [X16] :
( vd1201 = X16
& rpoint(X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
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('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('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('holds(310, 1246, 0)',axiom,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).
fof('neg(neg(296))',axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 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(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('pred(311, 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(311, 0)') ).
fof('holds(295, 1236, 0)',axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(c_0_15,plain,
! [X95,X96,X97,X98] :
( ( rS(X95,X96,X97)
& X97 = X98
& rline(X98)
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) ) )
=> ~ ron(X95,X97) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(c_0_16,plain,
! [X865,X866,X867,X868,X869,X870] :
( ~ rS(X865,X866,X867)
| X867 != X868
| ~ rline(X868)
| X866 != X869
| ~ rpoint(X869)
| X865 != X870
| ~ rpoint(X870)
| ~ ron(X865,X867) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X800,X801,X802,X803,X804,X805] :
( ~ rS(X800,X801,X802)
| X802 != X803
| ~ rline(X803)
| X801 != X804
| ~ rpoint(X804)
| X800 != X805
| ~ rpoint(X805)
| rS(X801,X800,X802) ),
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_18,plain,
! [X1124,X1125,X1126,X1127,X1128,X1129,X1130,X1131] :
( ~ rS(X1124,X1126,X1127)
| ~ rS(X1124,X1125,X1127)
| X1127 != X1128
| ~ rline(X1128)
| X1126 != X1129
| ~ rpoint(X1129)
| X1125 != X1130
| ~ rpoint(X1130)
| X1124 != X1131
| ~ rpoint(X1131)
| rS(X1125,X1126,X1127) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))'])])]) ).
fof(c_0_19,plain,
( vd1201 = esk7_0
& rpoint(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_20,plain,
! [X763] :
( ( ~ ron(vd1187,X763)
| ~ ron(vd1186,X763)
| ~ ron(vd1185,X763)
| ~ rline(X763) )
& 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_21,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)))']) ).
cnf(c_0_22,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_16]) ).
cnf(c_0_23,plain,
( rS(X2,X1,X3)
| ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( rS(X4,X2,X3)
| ~ rS(X1,X2,X3)
| ~ rS(X1,X4,X3)
| X3 != X5
| ~ rline(X5)
| X2 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762] :
( ( rR(X755,X757,X759)
| ~ ron(X759,X761)
| vangle(X757,X755,X759) = v0
| ~ ron(X757,X761)
| ~ ron(X755,X761)
| X755 = X759
| X755 = X757
| X761 != X762
| ~ rline(X762)
| X759 != X760
| ~ rpoint(X760)
| X757 != X758
| ~ rpoint(X758)
| X755 != X756
| ~ rpoint(X756) )
& ( ~ rR(X755,X757,X759)
| vangle(X757,X755,X759) != v0
| ~ ron(X757,X761)
| ~ ron(X755,X761)
| X755 = X759
| X755 = X757
| X761 != X762
| ~ rline(X762)
| X759 != X760
| ~ rpoint(X760)
| X757 != X758
| ~ rpoint(X758)
| X755 != X756
| ~ rpoint(X756) )
& ( ron(X759,X761)
| vangle(X757,X755,X759) != v0
| ~ ron(X757,X761)
| ~ ron(X755,X761)
| X755 = X759
| X755 = X757
| X761 != X762
| ~ rline(X762)
| X759 != X760
| ~ rpoint(X760)
| X757 != X758
| ~ rpoint(X758)
| X755 != X756
| ~ rpoint(X756) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_30,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_22])])]) ).
cnf(c_0_31,plain,
( rS(X1,X2,X3)
| ~ rS(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])]) ).
cnf(c_0_32,plain,
( rS(X1,X2,X3)
| ~ rS(X4,X1,X3)
| ~ rS(X4,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_33,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_34,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_37,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_29]) ).
cnf(c_0_38,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3)
| ~ ron(X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( rS(vd1187,X1,vd1197)
| ~ rS(vd1201,X1,vd1197)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_42,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_37])])])]) ).
cnf(c_0_43,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(split_conjunct,[status(thm)],['holds(310, 1246, 0)']) ).
cnf(c_0_44,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).
cnf(c_0_46,plain,
( ~ rS(vd1201,X1,vd1197)
| ~ rpoint(X1)
| ~ ron(X1,vd1197) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]),c_0_36])]) ).
cnf(c_0_47,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_48,plain,
( vd1187 = vd1185
| vd1201 = vd1185
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1185,X1)
| ~ ron(vd1187,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_35]),c_0_34])]) ).
cnf(c_0_49,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
cnf(c_0_50,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_51,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(311, 0)']) ).
cnf(c_0_52,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
~ rS(vd1201,vd1185,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44])]) ).
cnf(c_0_54,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']) ).
cnf(c_0_55,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_48,c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_56,plain,
~ rS(vd1185,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_31]),c_0_44]),c_0_34]),c_0_36])]) ).
cnf(c_0_57,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_30,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_58,plain,
vd1201 = vd1185,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 22:04:16 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.56 start to proof: theBenchmark
% 0.53/1.04 % Version : CSE_E---1.5
% 0.53/1.04 % Problem : theBenchmark.p
% 0.53/1.04 % Proof found
% 0.53/1.04 % SZS status Theorem for theBenchmark.p
% 0.53/1.04 % SZS output start Proof
% See solution above
% 0.99/1.05 % Total time : 0.463000 s
% 0.99/1.05 % SZS output end Proof
% 0.99/1.05 % Total time : 0.474000 s
%------------------------------------------------------------------------------