TSTP Solution File: GEO284+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO284+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 : n023.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 0.53s 0.82s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 97
% Syntax : Number of formulae : 137 ( 18 unt; 90 typ; 0 def)
% Number of atoms : 196 ( 65 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 255 ( 106 ~; 109 |; 36 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 18 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 74 ( 74 usr; 19 con; 0-18 aty)
% Number of variables : 69 ( 0 sgn; 16 !; 10 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1127: $i ).
tff(decl_23,type,
ron: ( $i * $i ) > $o ).
tff(decl_24,type,
vd1123: $i ).
tff(decl_25,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_26,type,
rcircle: $i > $o ).
tff(decl_27,type,
vd1125: $i ).
tff(decl_28,type,
rline: $i > $o ).
tff(decl_29,type,
vd1129: $i ).
tff(decl_30,type,
vskolem1147: $i ).
tff(decl_31,type,
vf: ( $i * $i ) > $i ).
tff(decl_32,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
vskolem1146: $i ).
tff(decl_34,type,
vskolem1145: $i ).
tff(decl_35,type,
rpoint: $i > $o ).
tff(decl_36,type,
rinside: ( $i * $i ) > $o ).
tff(decl_37,type,
rless: ( $i * $i ) > $o ).
tff(decl_38,type,
vd1130: $i ).
tff(decl_39,type,
vd1128: $i ).
tff(decl_40,type,
vd1126: $i ).
tff(decl_41,type,
vd1124: $i ).
tff(decl_42,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_43,type,
vskolem1140: $i ).
tff(decl_44,type,
vskolem1136: $i ).
tff(decl_45,type,
vskolem1139: $i ).
tff(decl_46,type,
vskolem1138: $i ).
tff(decl_47,type,
rreal: $i > $o ).
tff(decl_48,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
vplus: ( $i * $i ) > $i ).
tff(decl_50,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
v0: $i ).
tff(decl_52,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
vd684: $i ).
tff(decl_55,type,
vd14: $i ).
tff(decl_56,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
rtriangle: $i > $o ).
tff(decl_58,type,
vperp: $i ).
tff(decl_59,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_61,type,
rleq: ( $i * $i ) > $o ).
tff(decl_62,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk16_1: $i > $i ).
tff(decl_78,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk21_1: $i > $i ).
tff(decl_83,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk24_1: $i > $i ).
tff(decl_86,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk26_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk27_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk31_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk37_1: $i > $i ).
tff(decl_99,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk41_1: $i > $i ).
tff(decl_103,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk45_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk46_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk47_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
epred1_0: $o ).
tff(decl_111,type,
epred2_0: $o ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X53,X54] :
( ( X53 != X54
& ? [X55] :
( X54 = X55
& rpoint(X55) )
& ? [X56] :
( X53 = X56
& rpoint(X56) ) )
=> ? [X57] :
( ron(X54,X57)
& ron(X53,X57)
& rline(X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 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('qe(259)',conjecture,
? [X1,X2] :
( ron(vd1127,X2)
& rcenter(vd1123,X2)
& rcircle(X2)
& ron(vd1125,X1)
& ron(vd1123,X1)
& rline(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(259)') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X39,X40] :
( ( X39 != X40
& ? [X41] :
( X40 = X41
& rpoint(X41) )
& ? [X42] :
( X39 = X42
& rpoint(X42) ) )
=> ? [X43] :
( ron(X40,X43)
& rcenter(X39,X43)
& rcircle(X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('holds(258, 1150, 0)',axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof(c_0_5,plain,
! [X791,X792,X793,X794] :
( ( ron(X792,esk5_2(X791,X792))
| X791 = X792
| X792 != X793
| ~ rpoint(X793)
| X791 != X794
| ~ rpoint(X794) )
& ( ron(X791,esk5_2(X791,X792))
| X791 = X792
| X792 != X793
| ~ rpoint(X793)
| X791 != X794
| ~ rpoint(X794) )
& ( rline(esk5_2(X791,X792))
| X791 = X792
| X792 != X793
| ~ rpoint(X793)
| X791 != X794
| ~ rpoint(X794) ) ),
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(51), 0), imp(cond(axiom(51), 0)))'])])])])]) ).
fof(c_0_6,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ ron(vd1125,X2)
| ~ ron(vd1123,X2)
| ~ rline(X2) ) ),
introduced(definition) ).
cnf(c_0_7,plain,
( ron(X1,esk5_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,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_9,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_10,negated_conjecture,
~ ? [X1,X2] :
( ron(vd1127,X2)
& rcenter(vd1123,X2)
& rcircle(X2)
& ron(vd1125,X1)
& ron(vd1123,X1)
& rline(X1) ),
inference(assume_negation,[status(cth)],['qe(259)']) ).
cnf(c_0_11,negated_conjecture,
( epred1_0
| ~ rline(X1)
| ~ ron(vd1125,X1)
| ~ ron(vd1123,X1) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( X1 = X2
| ron(X1,esk5_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]) ).
cnf(c_0_13,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( rline(esk5_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_15,negated_conjecture,
! [X739,X740] :
( ~ ron(vd1127,X740)
| ~ rcenter(vd1123,X740)
| ~ rcircle(X740)
| ~ ron(vd1125,X739)
| ~ ron(vd1123,X739)
| ~ rline(X739) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_16,negated_conjecture,
( vd1125 = X1
| epred1_0
| ~ rpoint(X1)
| ~ rline(esk5_2(X1,vd1125))
| ~ ron(vd1123,esk5_2(X1,vd1125)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,plain,
( X1 = X2
| rline(esk5_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).
cnf(c_0_18,plain,
( ron(X1,esk5_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,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_20,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)))']) ).
fof(c_0_21,plain,
! [X777,X778,X779,X780] :
( ( ron(X778,esk3_2(X777,X778))
| X777 = X778
| X778 != X779
| ~ rpoint(X779)
| X777 != X780
| ~ rpoint(X780) )
& ( rcenter(X777,esk3_2(X777,X778))
| X777 = X778
| X778 != X779
| ~ rpoint(X779)
| X777 != X780
| ~ rpoint(X780) )
& ( rcircle(esk3_2(X777,X778))
| X777 = X778
| X778 != X779
| ~ rpoint(X779)
| X777 != X780
| ~ rpoint(X780) ) ),
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(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).
fof(c_0_22,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ ron(vd1127,X1)
| ~ rcenter(vd1123,X1)
| ~ rcircle(X1) ) ),
introduced(definition) ).
cnf(c_0_23,negated_conjecture,
( ~ ron(vd1127,X1)
| ~ rcenter(vd1123,X1)
| ~ rcircle(X1)
| ~ ron(vd1125,X2)
| ~ ron(vd1123,X2)
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( vd1125 = X1
| epred1_0
| ~ rpoint(X1)
| ~ ron(vd1123,esk5_2(X1,vd1125)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13])]) ).
cnf(c_0_25,plain,
( X1 = X2
| ron(X1,esk5_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).
cnf(c_0_26,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
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_28,plain,
( rcenter(X1,esk3_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_6]),c_0_22]) ).
cnf(c_0_30,negated_conjecture,
epred1_0,
inference(sr,[status(thm)],[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_13])]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( epred2_0
| ~ rcircle(X1)
| ~ rcenter(vd1123,X1)
| ~ ron(vd1127,X1) ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( X1 = X2
| rcenter(X1,esk3_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).
cnf(c_0_33,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_34,plain,
( ron(X1,esk3_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,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_36,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_37,plain,
vd1127 != vd1129,
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_38,plain,
vd1123 = vd1129,
inference(split_conjunct,[status(thm)],['holds(258, 1150, 0)']) ).
cnf(c_0_39,negated_conjecture,
( vd1123 = X1
| ~ rpoint(X1)
| ~ rcircle(esk3_2(vd1123,X1))
| ~ ron(vd1127,esk3_2(vd1123,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26])]),c_0_33]) ).
cnf(c_0_40,plain,
( X1 = X2
| ron(X1,esk3_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).
cnf(c_0_41,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
vd1127 != vd1123,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( rcircle(esk3_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,negated_conjecture,
~ rcircle(esk3_2(vd1123,vd1127)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_26])]),c_0_42]) ).
cnf(c_0_45,plain,
( X1 = X2
| rcircle(esk3_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_26]),c_0_41])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO284+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.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 22:58:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.53/0.82 % Version : CSE_E---1.5
% 0.53/0.82 % Problem : theBenchmark.p
% 0.53/0.82 % Proof found
% 0.53/0.82 % SZS status Theorem for theBenchmark.p
% 0.53/0.82 % SZS output start Proof
% See solution above
% 0.53/0.82 % Total time : 0.230000 s
% 0.53/0.82 % SZS output end Proof
% 0.53/0.82 % Total time : 0.241000 s
%------------------------------------------------------------------------------