TSTP Solution File: GEO298+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO298+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 : n020.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 1.62s 1.70s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 113
% Syntax : Number of formulae : 172 ( 34 unt; 95 typ; 0 def)
% Number of atoms : 416 ( 143 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 557 ( 218 ~; 209 |; 121 &)
% ( 0 <=>; 9 =>; 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 : 185 ( 0 sgn; 81 !; 32 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1201: $i ).
tff(decl_23,type,
vd1185: $i ).
tff(decl_24,type,
vd1187: $i ).
tff(decl_25,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
ron: ( $i * $i ) > $o ).
tff(decl_27,type,
rline: $i > $o ).
tff(decl_28,type,
rpoint: $i > $o ).
tff(decl_29,type,
vd1197: $i ).
tff(decl_30,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
vd1232: $i ).
tff(decl_32,type,
vd1186: $i ).
tff(decl_33,type,
vd1179: $i ).
tff(decl_34,type,
vd1178: $i ).
tff(decl_35,type,
vd1180: $i ).
tff(decl_36,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
vf: ( $i * $i ) > $i ).
tff(decl_38,type,
vd1200: $i ).
tff(decl_39,type,
vd1199: $i ).
tff(decl_40,type,
vd1234: $i ).
tff(decl_41,type,
rless: ( $i * $i ) > $o ).
tff(decl_42,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
v0: $i ).
tff(decl_44,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
vplus: ( $i * $i ) > $i ).
tff(decl_46,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_47,type,
rinside: ( $i * $i ) > $o ).
tff(decl_48,type,
rreal: $i > $o ).
tff(decl_49,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_50,type,
rcircle: $i > $o ).
tff(decl_51,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
vd684: $i ).
tff(decl_53,type,
vd14: $i ).
tff(decl_54,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
rtriangle: $i > $o ).
tff(decl_56,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
vperp: $i ).
tff(decl_58,type,
rleq: ( $i * $i ) > $o ).
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_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk17_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk20_2: ( $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_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk25_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk27_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk32_1: $i > $i ).
tff(decl_92,type,
esk33_1: $i > $i ).
tff(decl_93,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk36_1: $i > $i ).
tff(decl_96,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk38_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk43_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk44_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk47_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk49_1: $i > $i ).
tff(decl_109,type,
esk50_4: ( $i * $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_1: $i > $i ).
tff(decl_113,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
esk57_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))',axiom,
! [X17,X18,X19,X20,X21] :
( ( ron(X18,X20)
& rR(X18,X17,X19)
& X20 = X21
& rline(X21)
& ? [X22] :
( X19 = X22
& rpoint(X22) )
& ? [X23] :
( X18 = X23
& rpoint(X23) )
& ? [X24] :
( X17 = X24
& rpoint(X24) ) )
=> ~ rS(X17,X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X1,X2,X3,X4,X5] :
( ( X4 = X5
& ron(X3,X4)
& ron(X2,X4)
& ron(X1,X4)
& rline(X5)
& X2 != X3
& X1 != X3
& X1 != X2
& ? [X6] :
( X3 = X6
& rpoint(X6) )
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) ) )
=> ( rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 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,
( ~ ? [X10] :
( ron(vd1187,X10)
& ron(vd1186,X10)
& ron(vd1185,X10)
& rline(X10) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X11] :
( vd1187 = X11
& rpoint(X11) )
& ? [X12] :
( vd1186 = X12
& rpoint(X12) )
& ? [X13] :
( vd1185 = X13
& rpoint(X13) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X14] :
( vd1180 = X14
& rpoint(X14) )
& ? [X15] :
( vd1179 = X15
& rpoint(X15) )
& ? [X16] :
( vd1178 = X16
& rpoint(X16) ) ),
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,
? [X9] :
( vd1201 = X9
& rpoint(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X74,X75,X76,X77] :
( ( rS(X74,X75,X76)
& X76 = X77
& rline(X77)
& ? [X78] :
( X75 = X78
& rpoint(X78) )
& ? [X79] :
( X74 = X79
& rpoint(X79) ) )
=> ~ ron(X74,X76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X276,X277,X278] :
( ( rR(X277,X276,X278)
& ? [X279] :
( X278 = X279
& rpoint(X279) )
& ? [X280] :
( X277 = X280
& rpoint(X280) )
& ? [X281] :
( X276 = X281
& rpoint(X281) ) )
=> ( ~ rR(X276,X277,X278)
& X276 != X278
& X276 != X277
& rR(X277,X278,X276) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('pred(s3(plural(315)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('holds(295, 1236, 0)',axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
! [X52,X53,X54,X55] :
( ( rS(X52,X53,X54)
& X54 = X55
& rline(X55)
& ? [X56] :
( X53 = X56
& rpoint(X56) )
& ? [X57] :
( X52 = X57
& rpoint(X57) ) )
=> rS(X53,X52,X54) ),
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,
! [X432,X433,X434,X435,X436] :
( ( rS(X432,X434,X435)
& rS(X432,X433,X435)
& X435 = X436
& rline(X436)
& ? [X437] :
( X434 = X437
& rpoint(X437) )
& ? [X438] :
( X433 = X438
& rpoint(X438) )
& ? [X439] :
( X432 = X439
& rpoint(X439) ) )
=> rS(X433,X434,X435) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof('pred(s2(plural(315)), 0)',axiom,
ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(315)), 0)') ).
fof('holds(320, 1251, 0)',axiom,
vd1201 != vd1187,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('dis(321)',conjecture,
( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(321)') ).
fof('pred(s1(plural(315)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(315)), 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(c_0_18,plain,
! [X17,X18,X19,X20,X21] :
( ( ron(X18,X20)
& rR(X18,X17,X19)
& X20 = X21
& rline(X21)
& ? [X22] :
( X19 = X22
& rpoint(X22) )
& ? [X23] :
( X18 = X23
& rpoint(X23) )
& ? [X24] :
( X17 = X24
& rpoint(X24) ) )
=> ~ rS(X17,X19,X20) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))']) ).
fof(c_0_19,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762] :
( X758 != X759
| ~ ron(X757,X758)
| ~ ron(X756,X758)
| ~ ron(X755,X758)
| ~ rline(X759)
| X756 = X757
| X755 = X757
| X755 = X756
| X757 != X760
| ~ rpoint(X760)
| X756 != X761
| ~ rpoint(X761)
| X755 != X762
| ~ rpoint(X762)
| rR(X756,X755,X757)
| rR(X755,X756,X757)
| rR(X757,X755,X756) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).
fof(c_0_20,plain,
! [X764] :
( ( ~ ron(vd1187,X764)
| ~ ron(vd1186,X764)
| ~ ron(vd1185,X764)
| ~ rline(X764) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk2_0
& rpoint(esk2_0)
& vd1186 = esk3_0
& rpoint(esk3_0)
& vd1185 = esk4_0
& rpoint(esk4_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk5_0
& rpoint(esk5_0)
& vd1179 = esk6_0
& rpoint(esk6_0)
& vd1178 = esk7_0
& rpoint(esk7_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,
! [X771,X772,X773,X774,X775,X776,X777,X778] :
( ~ ron(X772,X774)
| ~ rR(X772,X771,X773)
| X774 != X775
| ~ rline(X775)
| X773 != X776
| ~ rpoint(X776)
| X772 != X777
| ~ rpoint(X777)
| X771 != X778
| ~ rpoint(X778)
| ~ rS(X771,X773,X774) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_22,plain,
( vd1201 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(c_0_23,plain,
( X4 = X3
| X5 = X3
| X5 = X4
| rR(X4,X5,X3)
| rR(X5,X4,X3)
| rR(X3,X5,X4)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ ron(X5,X1)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
vd1187 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ ron(X1,X2)
| ~ rR(X1,X3,X4)
| X2 != X5
| ~ rline(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| ~ rS(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
vd1201 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X74,X75,X76,X77] :
( ( rS(X74,X75,X76)
& X76 = X77
& rline(X77)
& ? [X78] :
( X75 = X78
& rpoint(X78) )
& ? [X79] :
( X74 = X79
& rpoint(X79) ) )
=> ~ ron(X74,X76) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(c_0_30,plain,
! [X276,X277,X278] :
( ( rR(X277,X276,X278)
& ? [X279] :
( X278 = X279
& rpoint(X279) )
& ? [X280] :
( X277 = X280
& rpoint(X280) )
& ? [X281] :
( X276 = X281
& rpoint(X281) ) )
=> ( ~ rR(X276,X277,X278)
& X276 != X278
& X276 != X277
& rR(X277,X278,X276) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
cnf(c_0_31,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_32,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s3(plural(315)), 0)']) ).
cnf(c_0_33,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_35,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X3)
| ~ ron(X4,X3)
| ~ rR(X4,X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_36,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']) ).
cnf(c_0_37,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_39,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,plain,
vd1185 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_41,plain,
! [X844,X845,X846,X847,X848,X849] :
( ~ rS(X844,X845,X846)
| X846 != X847
| ~ rline(X847)
| X845 != X848
| ~ rpoint(X848)
| X844 != X849
| ~ rpoint(X849)
| ~ ron(X844,X846) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_42,plain,
! [X822,X823,X824,X825,X826,X827] :
( ~ rS(X822,X823,X824)
| X824 != X825
| ~ rline(X825)
| X823 != X826
| ~ rpoint(X826)
| X822 != X827
| ~ rpoint(X827)
| rS(X823,X822,X824) ),
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_43,plain,
! [X1216,X1217,X1218,X1219,X1220,X1221,X1222,X1223] :
( ~ rS(X1216,X1218,X1219)
| ~ rS(X1216,X1217,X1219)
| X1219 != X1220
| ~ rline(X1220)
| X1218 != X1221
| ~ rpoint(X1221)
| X1217 != X1222
| ~ rpoint(X1222)
| X1216 != X1223
| ~ rpoint(X1223)
| rS(X1217,X1218,X1219) ),
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_44,plain,
! [X1060,X1061,X1062,X1063,X1064,X1065] :
( ( ~ rR(X1060,X1061,X1062)
| ~ rR(X1061,X1060,X1062)
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064)
| X1060 != X1065
| ~ rpoint(X1065) )
& ( X1060 != X1062
| ~ rR(X1061,X1060,X1062)
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064)
| X1060 != X1065
| ~ rpoint(X1065) )
& ( X1060 != X1061
| ~ rR(X1061,X1060,X1062)
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064)
| X1060 != X1065
| ~ rpoint(X1065) )
& ( rR(X1061,X1062,X1060)
| ~ rR(X1061,X1060,X1062)
| X1062 != X1063
| ~ rpoint(X1063)
| X1061 != X1064
| ~ rpoint(X1064)
| X1060 != X1065
| ~ rpoint(X1065) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
cnf(c_0_45,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,vd1187,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_46,plain,
ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(315)), 0)']) ).
cnf(c_0_47,plain,
vd1201 != vd1187,
inference(split_conjunct,[status(thm)],['holds(320, 1251, 0)']) ).
cnf(c_0_48,plain,
( ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ rR(X1,vd1187,vd1201) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33]),c_0_37]),c_0_38])]) ).
cnf(c_0_49,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_50,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_51,negated_conjecture,
~ ( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
inference(assume_negation,[status(cth)],['dis(321)']) ).
cnf(c_0_52,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_41]) ).
cnf(c_0_53,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_42]) ).
cnf(c_0_54,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_43]) ).
cnf(c_0_55,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| X2 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,plain,
( X1 = vd1201
| X1 = vd1187
| rR(X1,vd1187,vd1201)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_37])]),c_0_47]) ).
cnf(c_0_57,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(315)), 0)']) ).
cnf(c_0_58,plain,
~ rR(vd1185,vd1187,vd1201),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
fof(c_0_59,negated_conjecture,
( ~ rR(vd1201,vd1185,vd1187)
& ~ rR(vd1187,vd1185,vd1201) ),
inference(fof_nnf,[status(thm)],[c_0_51]) ).
cnf(c_0_60,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_52])])]) ).
cnf(c_0_61,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_53])])]) ).
cnf(c_0_62,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_54])])])]) ).
cnf(c_0_63,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_64,plain,
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])])]) ).
cnf(c_0_65,plain,
( vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50])]),c_0_58]) ).
cnf(c_0_66,negated_conjecture,
~ rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3)
| ~ ron(X2,X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,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_62,c_0_63]),c_0_37]),c_0_33]),c_0_38])]) ).
cnf(c_0_69,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| rR(vd1201,vd1187,vd1185) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_37]),c_0_33]),c_0_50])]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
~ rR(vd1201,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,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_67,c_0_68]),c_0_33]),c_0_38])]) ).
cnf(c_0_72,plain,
( vd1187 = vd1185
| vd1201 = vd1185 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_69]),c_0_33]),c_0_37]),c_0_50])]),c_0_70]) ).
cnf(c_0_73,plain,
~ rS(vd1201,vd1185,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_49]),c_0_50])]) ).
cnf(c_0_74,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_60,c_0_63]),c_0_37]),c_0_33]),c_0_38])]) ).
cnf(c_0_75,plain,
vd1201 = vd1185,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_72]),c_0_73]) ).
cnf(c_0_76,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO298+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:18:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 1.62/1.70 % Version : CSE_E---1.5
% 1.62/1.70 % Problem : theBenchmark.p
% 1.62/1.70 % Proof found
% 1.62/1.70 % SZS status Theorem for theBenchmark.p
% 1.62/1.70 % SZS output start Proof
% See solution above
% 1.62/1.71 % Total time : 1.124000 s
% 1.62/1.71 % SZS output end Proof
% 1.62/1.71 % Total time : 1.136000 s
%------------------------------------------------------------------------------