TSTP Solution File: GEO280+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO280+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 : n025.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 22:47:39 EDT 2023
% Result : Theorem 1.03s 1.10s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 95
% Syntax : Number of formulae : 147 ( 27 unt; 84 typ; 0 def)
% Number of atoms : 242 ( 72 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 318 ( 139 ~; 127 |; 43 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 253 ( 69 >; 184 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 15 con; 0-18 aty)
% Number of variables : 118 ( 0 sgn; 52 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1125: $i ).
tff(decl_23,type,
vd1139: $i ).
tff(decl_24,type,
rinside: ( $i * $i ) > $o ).
tff(decl_25,type,
vd1136: $i ).
tff(decl_26,type,
ron: ( $i * $i ) > $o ).
tff(decl_27,type,
vd1123: $i ).
tff(decl_28,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_29,type,
rcircle: $i > $o ).
tff(decl_30,type,
vd1138: $i ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vd1127: $i ).
tff(decl_33,type,
vd1129: $i ).
tff(decl_34,type,
vf: ( $i * $i ) > $i ).
tff(decl_35,type,
rpoint: $i > $o ).
tff(decl_36,type,
rless: ( $i * $i ) > $o ).
tff(decl_37,type,
vd1130: $i ).
tff(decl_38,type,
vd1128: $i ).
tff(decl_39,type,
vd1126: $i ).
tff(decl_40,type,
vd1124: $i ).
tff(decl_41,type,
v0: $i ).
tff(decl_42,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
vplus: ( $i * $i ) > $i ).
tff(decl_46,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
rreal: $i > $o ).
tff(decl_49,type,
vd684: $i ).
tff(decl_50,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_51,type,
vd14: $i ).
tff(decl_52,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
rtriangle: $i > $o ).
tff(decl_54,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
vperp: $i ).
tff(decl_56,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_57,type,
rleq: ( $i * $i ) > $o ).
tff(decl_58,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk5_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk7_1: $i > $i ).
tff(decl_65,type,
esk8_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk9_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk10_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk15_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk24_1: $i > $i ).
tff(decl_82,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk27_1: $i > $i ).
tff(decl_85,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk29_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk30_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk34_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk40_1: $i > $i ).
tff(decl_98,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk44_1: $i > $i ).
tff(decl_102,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk48_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X82,X83] :
( ( ? [X84] :
( X83 = X84
& rpoint(X84) )
& ? [X85] :
( X82 = X85
& rpoint(X85) ) )
=> ? [X86] :
( vf(X82,X83) = X86
& rreal(X86) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X651,X652] :
( ( ? [X653] :
( X652 = X653
& rpoint(X653) )
& ? [X654] :
( X651 = X654
& rpoint(X654) ) )
=> vf(X651,X652) = vf(X652,X651) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))',axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X157,X158] :
( ( X157 = X158
& rreal(X158) )
=> ~ rless(X157,X157) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
! [X151,X152,X153,X154,X155,X156] :
( ( rless(X153,X155)
& rless(X151,X153)
& X155 = X156
& rreal(X156)
& X153 = X154
& rreal(X154)
& X151 = X152
& rreal(X152) )
=> rless(X151,X155) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof('holds(245, 1137, 0)',axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(245, 1137, 0)') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X645,X646,X647,X648,X649,X650] :
( ( ron(X649,X648)
& X649 = X650
& rpoint(X650)
& rcenter(X647,X648)
& X645 = X646
& rpoint(X646) )
=> ( vf(X647,X645) = vf(X647,X649)
<=> ron(X645,X648) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))',axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof('pred(245, 0)',axiom,
rpoint(vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(245, 0)') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X139,X140,X141,X142] :
( ( ron(X140,X142)
& rcenter(X141,X142)
& ? [X143] :
( X140 = X143
& rpoint(X143) )
& ? [X144] :
( X139 = X144
& rpoint(X144) ) )
=> ( rless(vf(X141,X139),vf(X141,X140))
<=> rinside(X139,X142) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('neg(neg(247))',conjecture,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(247))') ).
fof(c_0_11,plain,
! [X832,X833,X834,X835] :
( ( vf(X832,X833) = esk6_2(X832,X833)
| X833 != X834
| ~ rpoint(X834)
| X832 != X835
| ~ rpoint(X835) )
& ( rreal(esk6_2(X832,X833))
| X833 != X834
| ~ rpoint(X834)
| X832 != X835
| ~ rpoint(X835) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_12,plain,
! [X1401,X1402,X1403,X1404] :
( X1402 != X1403
| ~ rpoint(X1403)
| X1401 != X1404
| ~ rpoint(X1404)
| vf(X1401,X1402) = vf(X1402,X1401) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).
cnf(c_0_13,plain,
( rreal(esk6_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( vf(X1,X2) = esk6_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
rpoint(vd1128),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_17,plain,
vd1127 = vd1128,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_18,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_19,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
fof(c_0_20,plain,
! [X157,X158] :
( ( X157 = X158
& rreal(X158) )
=> ~ rless(X157,X157) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_21,plain,
! [X901,X902,X903,X904,X905,X906] :
( ~ rless(X903,X905)
| ~ rless(X901,X903)
| X905 != X906
| ~ rreal(X906)
| X903 != X904
| ~ rreal(X904)
| X901 != X902
| ~ rreal(X902)
| rless(X901,X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).
cnf(c_0_22,plain,
( rreal(esk6_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).
cnf(c_0_23,plain,
( esk6_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).
cnf(c_0_24,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(split_conjunct,[status(thm)],['holds(245, 1137, 0)']) ).
cnf(c_0_25,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])]) ).
cnf(c_0_26,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_27,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_28,plain,
! [X907,X908] :
( X907 != X908
| ~ rreal(X908)
| ~ rless(X907,X907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_29,plain,
( rless(X3,X2)
| ~ rless(X1,X2)
| ~ rless(X3,X1)
| X2 != X4
| ~ rreal(X4)
| X1 != X5
| ~ rreal(X5)
| X3 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_31,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
vf(vd1129,vd1127) = vf(vd1123,vd1136),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
fof(c_0_33,plain,
! [X1395,X1396,X1397,X1398,X1399,X1400] :
( ( vf(X1397,X1395) != vf(X1397,X1399)
| ron(X1395,X1398)
| ~ ron(X1399,X1398)
| X1399 != X1400
| ~ rpoint(X1400)
| ~ rcenter(X1397,X1398)
| X1395 != X1396
| ~ rpoint(X1396) )
& ( ~ ron(X1395,X1398)
| vf(X1397,X1395) = vf(X1397,X1399)
| ~ ron(X1399,X1398)
| X1399 != X1400
| ~ rpoint(X1400)
| ~ rcenter(X1397,X1398)
| X1395 != X1396
| ~ rpoint(X1396) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).
cnf(c_0_34,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3)
| ~ rless(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])]) ).
cnf(c_0_36,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_37,plain,
rreal(vf(vd1123,vd1136)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27]),c_0_26])]) ).
cnf(c_0_38,plain,
( vf(X3,X1) = vf(X3,X4)
| ~ ron(X1,X2)
| ~ ron(X4,X2)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( rless(vf(vd1123,vd1136),X1)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(X1)
| ~ rless(vf(vd1123,vd1125),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_41,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_42,plain,
rcenter(vd1123,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_43,plain,
( ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37])]) ).
cnf(c_0_44,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1139)
| ~ ron(X1,vd1139) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
rpoint(vd1136),
inference(split_conjunct,[status(thm)],['pred(245, 0)']) ).
cnf(c_0_46,plain,
ron(vd1136,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_47,plain,
rpoint(vd1124),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_48,plain,
vd1123 = vd1124,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_49,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_50,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
fof(c_0_51,plain,
! [X889,X890,X891,X892,X893,X894] :
( ( ~ rless(vf(X891,X889),vf(X891,X890))
| rinside(X889,X892)
| ~ ron(X890,X892)
| ~ rcenter(X891,X892)
| X890 != X893
| ~ rpoint(X893)
| X889 != X894
| ~ rpoint(X894) )
& ( ~ rinside(X889,X892)
| rless(vf(X891,X889),vf(X891,X890))
| ~ ron(X890,X892)
| ~ rcenter(X891,X892)
| X890 != X893
| ~ rpoint(X893)
| X889 != X894
| ~ rpoint(X894) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
cnf(c_0_52,plain,
( ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,X1))
| ~ rpoint(X1)
| ~ ron(X1,vd1139) ),
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_53,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( rless(vf(X3,X1),vf(X3,X4))
| ~ rinside(X1,X2)
| ~ ron(X4,X2)
| ~ rcenter(X3,X2)
| X4 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,X1))
| ~ rpoint(X1)
| ~ ron(X1,vd1139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_31]),c_0_53]),c_0_54])]) ).
cnf(c_0_57,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rinside(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).
fof(c_0_58,negated_conjecture,
rinside(vd1125,vd1139),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(247))'])]) ).
cnf(c_0_59,plain,
~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_45])]) ).
cnf(c_0_60,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1139)
| ~ rinside(X1,vd1139) ),
inference(spm,[status(thm)],[c_0_57,c_0_42]) ).
cnf(c_0_61,negated_conjecture,
rinside(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_54]),c_0_45]),c_0_46]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n025.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 : Tue Aug 29 19:22:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.03/1.10 % Version : CSE_E---1.5
% 1.03/1.10 % Problem : theBenchmark.p
% 1.03/1.10 % Proof found
% 1.03/1.10 % SZS status Theorem for theBenchmark.p
% 1.03/1.10 % SZS output start Proof
% See solution above
% 1.03/1.11 % Total time : 0.503000 s
% 1.03/1.11 % SZS output end Proof
% 1.03/1.11 % Total time : 0.514000 s
%------------------------------------------------------------------------------