TSTP Solution File: GEO285+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO285+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 : n016.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 22:47:40 EDT 2023
% Result : Theorem 1.64s 1.77s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 99
% Syntax : Number of formulae : 142 ( 21 unt; 90 typ; 0 def)
% Number of atoms : 193 ( 57 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 250 ( 109 ~; 97 |; 37 &)
% ( 1 <=>; 6 =>; 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 : 76 ( 76 usr; 21 con; 0-18 aty)
% Number of variables : 92 ( 0 sgn; 40 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1125: $i ).
tff(decl_23,type,
vd1152: $i ).
tff(decl_24,type,
rinside: ( $i * $i ) > $o ).
tff(decl_25,type,
vd1127: $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,
vd1151: $i ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vd1129: $i ).
tff(decl_33,type,
vskolem1147: $i ).
tff(decl_34,type,
vf: ( $i * $i ) > $i ).
tff(decl_35,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
vskolem1146: $i ).
tff(decl_37,type,
vskolem1145: $i ).
tff(decl_38,type,
rpoint: $i > $o ).
tff(decl_39,type,
rless: ( $i * $i ) > $o ).
tff(decl_40,type,
vd1130: $i ).
tff(decl_41,type,
vd1128: $i ).
tff(decl_42,type,
vd1126: $i ).
tff(decl_43,type,
vd1124: $i ).
tff(decl_44,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_45,type,
vskolem1140: $i ).
tff(decl_46,type,
vskolem1136: $i ).
tff(decl_47,type,
vskolem1139: $i ).
tff(decl_48,type,
vskolem1138: $i ).
tff(decl_49,type,
rreal: $i > $o ).
tff(decl_50,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
vplus: ( $i * $i ) > $i ).
tff(decl_53,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
v0: $i ).
tff(decl_55,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
vd684: $i ).
tff(decl_57,type,
vd14: $i ).
tff(decl_58,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
rtriangle: $i > $o ).
tff(decl_60,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
vperp: $i ).
tff(decl_62,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_63,type,
rleq: ( $i * $i ) > $o ).
tff(decl_64,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk7_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_1: $i > $i ).
tff(decl_73,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk13_1: $i > $i ).
tff(decl_77,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk15_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk16_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk17_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk23_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk24_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk27_1: $i > $i ).
tff(decl_91,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk29_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk30_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk34_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk40_1: $i > $i ).
tff(decl_104,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk44_1: $i > $i ).
tff(decl_108,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
esk48_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X65,X66] :
( ( X65 = X66
& rreal(X66) )
=> ~ rless(X65,X65) ),
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,
! [X251,X252,X253,X254,X255,X256] :
( ( rless(X253,X255)
& rless(X251,X253)
& X255 = X256
& rreal(X256)
& X253 = X254
& rreal(X254)
& X251 = X252
& rreal(X252) )
=> rless(X251,X255) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 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('holds(258, 1150, 0)',axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X670,X671] :
( ( ? [X672] :
( X671 = X672
& rpoint(X672) )
& ? [X673] :
( X670 = X673
& rpoint(X673) ) )
=> vf(X670,X671) = vf(X671,X670) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X15,X16,X17,X18] :
( ( ron(X16,X18)
& rcenter(X17,X18)
& ? [X19] :
( X16 = X19
& rpoint(X19) )
& ? [X20] :
( X15 = X20
& rpoint(X20) ) )
=> ( rless(vf(X17,X15),vf(X17,X16))
<=> rinside(X15,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X60,X61] :
( ( ? [X62] :
( X61 = X62
& rpoint(X62) )
& ? [X63] :
( X60 = X63
& rpoint(X63) ) )
=> ? [X64] :
( vf(X60,X61) = X64
& rreal(X64) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))',axiom,
( ron(vd1127,vd1152)
& rcenter(vd1123,vd1152)
& rcircle(vd1152)
& ron(vd1125,vd1151)
& ron(vd1123,vd1151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).
fof('neg(neg(260))',conjecture,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).
fof(c_0_9,plain,
! [X65,X66] :
( ( X65 = X66
& rreal(X66) )
=> ~ rless(X65,X65) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_10,plain,
! [X1001,X1002,X1003,X1004,X1005,X1006] :
( ~ rless(X1003,X1005)
| ~ rless(X1001,X1003)
| X1005 != X1006
| ~ rreal(X1006)
| X1003 != X1004
| ~ rreal(X1004)
| X1001 != X1002
| ~ rreal(X1002)
| rless(X1001,X1005) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).
fof(c_0_11,plain,
! [X801,X802] :
( X801 != X802
| ~ rreal(X802)
| ~ rless(X801,X801) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_12,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_10]) ).
cnf(c_0_13,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_14,plain,
vd1123 = vd1129,
inference(split_conjunct,[status(thm)],['holds(258, 1150, 0)']) ).
cnf(c_0_15,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,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_12])])]) ).
cnf(c_0_17,plain,
rless(vf(vd1127,vd1123),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X1420,X1421,X1422,X1423] :
( X1421 != X1422
| ~ rpoint(X1422)
| X1420 != X1423
| ~ rpoint(X1423)
| vf(X1420,X1421) = vf(X1421,X1420) ),
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_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,
! [X751,X752,X753,X754,X755,X756] :
( ( ~ rless(vf(X753,X751),vf(X753,X752))
| rinside(X751,X754)
| ~ ron(X752,X754)
| ~ rcenter(X753,X754)
| X752 != X755
| ~ rpoint(X755)
| X751 != X756
| ~ rpoint(X756) )
& ( ~ rinside(X751,X754)
| rless(vf(X753,X751),vf(X753,X752))
| ~ ron(X752,X754)
| ~ rcenter(X753,X754)
| X752 != X755
| ~ rpoint(X755)
| X751 != X756
| ~ rpoint(X756) ) ),
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_21,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( rless(vf(vd1127,vd1123),X1)
| ~ rreal(vf(vd1127,vd1123))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(X1)
| ~ rless(vf(vd1123,vd1125),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,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_25,plain,
vd1130 = vd1123,
inference(rw,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_26,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_27,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_28,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_20]) ).
fof(c_0_29,plain,
! [X796,X797,X798,X799] :
( ( vf(X796,X797) = esk8_2(X796,X797)
| X797 != X798
| ~ rpoint(X798)
| X796 != X799
| ~ rpoint(X799) )
& ( rreal(esk8_2(X796,X797))
| X797 != X798
| ~ rpoint(X798)
| X796 != X799
| ~ rpoint(X799) ) ),
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)))'])])])])]) ).
cnf(c_0_30,plain,
( ~ rreal(vf(vd1127,vd1123))
| ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1127,vd1123)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_32,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,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_28])]) ).
cnf(c_0_35,plain,
rcenter(vd1123,vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_36,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_37,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_38,negated_conjecture,
rinside(vd1125,vd1152),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(260))'])]) ).
cnf(c_0_39,plain,
( rreal(esk8_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( vf(X1,X2) = esk8_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( ~ rreal(vf(vd1123,vd1127))
| ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_42,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1152)
| ~ rinside(X1,vd1152) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
ron(vd1127,vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_45,negated_conjecture,
rinside(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( rreal(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_47,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_48,plain,
( ~ rreal(vf(vd1123,vd1127))
| ~ rreal(vf(vd1123,vd1125)) ),
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_41,c_0_42]),c_0_43]),c_0_33]),c_0_44]),c_0_45])]) ).
cnf(c_0_49,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
~ rreal(vf(vd1123,vd1127)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_32]),c_0_43])]) ).
cnf(c_0_51,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO285+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 : n016.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 23:32:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.64/1.77 % Version : CSE_E---1.5
% 1.64/1.77 % Problem : theBenchmark.p
% 1.64/1.77 % Proof found
% 1.64/1.77 % SZS status Theorem for theBenchmark.p
% 1.64/1.77 % SZS output start Proof
% See solution above
% 1.74/1.78 % Total time : 1.177000 s
% 1.74/1.78 % SZS output end Proof
% 1.74/1.78 % Total time : 1.189000 s
%------------------------------------------------------------------------------