TSTP Solution File: GEO294+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO294+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 22:47:42 EDT 2023
% Result : Theorem 0.54s 0.84s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 113
% Syntax : Number of formulae : 166 ( 36 unt; 95 typ; 0 def)
% Number of atoms : 378 ( 145 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 501 ( 194 ~; 192 |; 106 &)
% ( 2 <=>; 7 =>; 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 : 158 ( 0 sgn; 74 !; 21 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1201: $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,
vd1187: $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,
rreal: $i > $o ).
tff(decl_40,type,
vplus: ( $i * $i ) > $i ).
tff(decl_41,type,
vd1197: $i ).
tff(decl_42,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
vd1234: $i ).
tff(decl_44,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_45,type,
rless: ( $i * $i ) > $o ).
tff(decl_46,type,
rinside: ( $i * $i ) > $o ).
tff(decl_47,type,
vd684: $i ).
tff(decl_48,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_49,type,
rcircle: $i > $o ).
tff(decl_50,type,
vd14: $i ).
tff(decl_51,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
rtriangle: $i > $o ).
tff(decl_53,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
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_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk13_7: ( $i * $i * $i * $i * $i * $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_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk26_1: $i > $i ).
tff(decl_86,type,
esk27_1: $i > $i ).
tff(decl_87,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk30_1: $i > $i ).
tff(decl_90,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk32_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk37_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk43_1: $i > $i ).
tff(decl_103,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk47_1: $i > $i ).
tff(decl_107,type,
esk48_3: ( $i * $i * $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_2: ( $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(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/sandbox2/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/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('qe(s3(plural(271)))',axiom,
? [X18] :
( vd1201 = X18
& rpoint(X18) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('holds(302, 1241, 0)',axiom,
vangle(vd1201,vd1185,vd1187) = v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
! [X45,X46,X47,X48] :
( ( rS(X45,X46,X47)
& X47 = X48
& rline(X48)
& ? [X49] :
( X46 = X49
& rpoint(X49) )
& ? [X50] :
( X45 = X50
& rpoint(X50) ) )
=> rS(X46,X45,X47) ),
file('/export/starexec/sandbox2/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,
! [X249,X250,X251,X252,X253] :
( ( rS(X249,X251,X252)
& rS(X249,X250,X252)
& X252 = X253
& rline(X253)
& ? [X254] :
( X251 = X254
& rpoint(X254) )
& ? [X255] :
( X250 = X255
& rpoint(X255) )
& ? [X256] :
( X249 = X256
& rpoint(X256) ) )
=> rS(X250,X251,X252) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof('pred(s2(plural(293)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 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(294, 0)',axiom,
rline(vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).
fof('pred(s2(plural(294)), 0)',axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(294)), 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(293)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof('pred(303, 0)',conjecture,
ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(303, 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_18,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_19,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_18])])]) ).
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,
( vd1201 = esk7_0
& rpoint(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_22,plain,
! [X1085,X1086,X1087,X1088,X1089,X1090,X1091,X1092] :
( ~ ron(X1086,X1088)
| ~ ron(X1086,X1087)
| ~ ron(X1085,X1088)
| ~ ron(X1085,X1087)
| X1088 != X1089
| ~ rline(X1089)
| X1087 != X1090
| ~ rline(X1090)
| X1085 = X1086
| X1086 != X1091
| ~ rpoint(X1091)
| X1085 != X1092
| ~ rpoint(X1092)
| X1087 = X1088 ),
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_23,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_19]) ).
cnf(c_0_24,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,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_31,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_22]) ).
cnf(c_0_32,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_23])])])]) ).
cnf(c_0_33,plain,
vangle(vd1201,vd1185,vd1187) = v0,
inference(split_conjunct,[status(thm)],['holds(302, 1241, 0)']) ).
cnf(c_0_34,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_37,plain,
! [X1011,X1012,X1013,X1014,X1015,X1016] :
( ~ rS(X1011,X1012,X1013)
| X1013 != X1014
| ~ rline(X1014)
| X1012 != X1015
| ~ rpoint(X1015)
| X1011 != X1016
| ~ rpoint(X1016)
| ~ ron(X1011,X1013) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_38,plain,
! [X799,X800,X801,X802,X803,X804] :
( ~ rS(X799,X800,X801)
| X801 != X802
| ~ rline(X802)
| X800 != X803
| ~ rpoint(X803)
| X799 != X804
| ~ rpoint(X804)
| rS(X800,X799,X801) ),
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_39,plain,
! [X1003,X1004,X1005,X1006,X1007,X1008,X1009,X1010] :
( ~ rS(X1003,X1005,X1006)
| ~ rS(X1003,X1004,X1006)
| X1006 != X1007
| ~ rline(X1007)
| X1005 != X1008
| ~ rpoint(X1008)
| X1004 != X1009
| ~ rpoint(X1009)
| X1003 != X1010
| ~ rpoint(X1010)
| rS(X1004,X1005,X1006) ),
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)))'])])]) ).
cnf(c_0_40,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_31])])])]) ).
cnf(c_0_41,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).
cnf(c_0_42,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_43,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_32,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_44,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).
cnf(c_0_45,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).
cnf(c_0_46,plain,
ron(vd1201,vd1234),
inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']) ).
cnf(c_0_47,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_37]) ).
cnf(c_0_48,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_38]) ).
cnf(c_0_49,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_39]) ).
cnf(c_0_50,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_40,c_0_41]),c_0_36]),c_0_42])]) ).
cnf(c_0_51,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_43,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_52,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_47])])]) ).
cnf(c_0_53,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_48])])]) ).
cnf(c_0_54,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_49])])])]) ).
cnf(c_0_55,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_56,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_57,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_50,c_0_51]),c_0_45])]) ).
cnf(c_0_58,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
fof(c_0_59,negated_conjecture,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['pred(303, 0)'])]) ).
cnf(c_0_60,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3)
| ~ ron(X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,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_54,c_0_55]),c_0_35]),c_0_36]),c_0_56])]) ).
cnf(c_0_62,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_57,c_0_58]),c_0_34]),c_0_44])]) ).
cnf(c_0_63,negated_conjecture,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,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_60,c_0_61]),c_0_36]),c_0_56])]) ).
cnf(c_0_65,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_66,plain,
( vd1201 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_62]),c_0_63]) ).
cnf(c_0_67,plain,
~ rS(vd1201,vd1185,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_34])]) ).
cnf(c_0_68,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_52,c_0_55]),c_0_35]),c_0_36]),c_0_56])]) ).
cnf(c_0_69,plain,
vd1201 = vd1185,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO294+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n022.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 : Wed Aug 30 00:08:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.52/0.57 start to proof: theBenchmark
% 0.54/0.84 % Version : CSE_E---1.5
% 0.54/0.84 % Problem : theBenchmark.p
% 0.54/0.84 % Proof found
% 0.54/0.84 % SZS status Theorem for theBenchmark.p
% 0.54/0.84 % SZS output start Proof
% See solution above
% 0.54/0.85 % Total time : 0.251000 s
% 0.54/0.85 % SZS output end Proof
% 0.54/0.85 % Total time : 0.262000 s
%------------------------------------------------------------------------------