TSTP Solution File: GEO286+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO286+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 : n006.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 4.99s 5.12s
% Output : CNFRefutation 4.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 98
% Syntax : Number of formulae : 142 ( 24 unt; 90 typ; 0 def)
% Number of atoms : 296 ( 48 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 408 ( 164 ~; 188 |; 53 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 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 : 96 ( 0 sgn; 29 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1123: $i ).
tff(decl_23,type,
vd1125: $i ).
tff(decl_24,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
vd1152: $i ).
tff(decl_26,type,
ron: ( $i * $i ) > $o ).
tff(decl_27,type,
vd1151: $i ).
tff(decl_28,type,
rpoint: $i > $o ).
tff(decl_29,type,
rinside: ( $i * $i ) > $o ).
tff(decl_30,type,
vd1127: $i ).
tff(decl_31,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_32,type,
rcircle: $i > $o ).
tff(decl_33,type,
vd1129: $i ).
tff(decl_34,type,
vf: ( $i * $i ) > $i ).
tff(decl_35,type,
rless: ( $i * $i ) > $o ).
tff(decl_36,type,
vd1130: $i ).
tff(decl_37,type,
vd1128: $i ).
tff(decl_38,type,
vd1126: $i ).
tff(decl_39,type,
vd1124: $i ).
tff(decl_40,type,
rreal: $i > $o ).
tff(decl_41,type,
rline: $i > $o ).
tff(decl_42,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_43,type,
vskolem1147: $i ).
tff(decl_44,type,
vskolem1146: $i ).
tff(decl_45,type,
vskolem1145: $i ).
tff(decl_46,type,
vskolem1140: $i ).
tff(decl_47,type,
vskolem1136: $i ).
tff(decl_48,type,
vskolem1139: $i ).
tff(decl_49,type,
vskolem1138: $i ).
tff(decl_50,type,
vplus: ( $i * $i ) > $i ).
tff(decl_51,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
v0: $i ).
tff(decl_53,type,
rleq: ( $i * $i ) > $o ).
tff(decl_54,type,
vd684: $i ).
tff(decl_55,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
vd14: $i ).
tff(decl_57,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
rtriangle: $i > $o ).
tff(decl_59,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
vperp: $i ).
tff(decl_63,type,
rgeq: ( $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_7: ( $i * $i * $i * $i * $i * $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_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_3: ( $i * $i * $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_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk15_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk17_7: ( $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_1: $i > $i ).
tff(decl_84,type,
esk21_1: $i > $i ).
tff(decl_85,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk24_1: $i > $i ).
tff(decl_88,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk26_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk27_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk31_6: ( $i * $i * $i * $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_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk37_1: $i > $i ).
tff(decl_101,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk41_1: $i > $i ).
tff(decl_105,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk45_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
esk46_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
esk47_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
esk48_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ron(X55,X51)
& ~ ron(X55,X49)
& ~ rinside(X55,X49)
& X55 = X56
& rpoint(X56)
& ron(X53,X51)
& rinside(X53,X49)
& X53 = X54
& rpoint(X54)
& X51 = X52
& rline(X52)
& X49 = X50
& rcircle(X50) )
=> ? [X57] :
( rR(X57,X53,X55)
& ron(X57,X49)
& ron(X57,X51)
& rpoint(X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X359,X360] :
( rcenter(X359,X360)
=> rinside(X359,X360) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 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('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(261)',conjecture,
? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1152)
& ron(X1,vd1151)
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(261)') ).
fof('pred(259, 0)',axiom,
rline(vd1151),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(259, 0)') ).
fof('neg(neg(260))',axiom,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).
fof('neg(neg(comma_conjunct2(260)))',axiom,
~ ron(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(260)))') ).
fof(c_0_8,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ron(X55,X51)
& ~ ron(X55,X49)
& ~ rinside(X55,X49)
& X55 = X56
& rpoint(X56)
& ron(X53,X51)
& rinside(X53,X49)
& X53 = X54
& rpoint(X54)
& X51 = X52
& rline(X52)
& X49 = X50
& rcircle(X50) )
=> ? [X57] :
( rR(X57,X53,X55)
& ron(X57,X49)
& ron(X57,X51)
& rpoint(X57) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(c_0_9,plain,
! [X786,X787,X788,X789,X790,X791,X792,X793] :
( ( rR(esk4_7(X786,X787,X788,X789,X790,X791,X792),X790,X792)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X786)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X788)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( rpoint(esk4_7(X786,X787,X788,X789,X790,X791,X792))
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
fof(c_0_10,plain,
! [X1102,X1103] :
( ~ rcenter(X1102,X1103)
| rinside(X1102,X1103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_11,plain,
( ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X1)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,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_14,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_15,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_16,plain,
( rpoint(esk4_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( rinside(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X2)
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_19,plain,
rinside(vd1123,vd1152),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
rcircle(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_21,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( rinside(X1,X2)
| rpoint(esk4_7(X2,X2,X3,X3,X4,X4,X1))
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_23,plain,
( rinside(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X3)
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_24,plain,
( rR(esk4_7(X1,X2,X3,X4,X5,X6,X7),X5,X7)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_25,negated_conjecture,
~ ? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1152)
& ron(X1,vd1151)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(261)']) ).
cnf(c_0_26,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),vd1152)
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_27,plain,
ron(vd1123,vd1151),
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_28,plain,
rline(vd1151),
inference(split_conjunct,[status(thm)],['pred(259, 0)']) ).
cnf(c_0_29,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_30,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_31,plain,
~ rinside(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(260))']) ).
fof(c_0_32,plain,
~ ron(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(260)))']) ).
cnf(c_0_33,plain,
( rinside(X1,vd1152)
| rpoint(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1))
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_34,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),X2)
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_35,plain,
( rinside(X1,X2)
| ron(X1,X2)
| rR(esk4_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])])])]) ).
fof(c_0_36,negated_conjecture,
! [X738] :
( ~ rR(X738,vd1123,vd1125)
| ~ ron(X738,vd1152)
| ~ ron(X738,vd1151)
| ~ rpoint(X738) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_37,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1152)
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_38,plain,
ron(vd1125,vd1151),
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_39,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_40,plain,
~ rinside(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
~ ron(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( rinside(X1,vd1152)
| rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1))
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_28])]) ).
cnf(c_0_43,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1151)
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_28])]) ).
cnf(c_0_44,plain,
( rinside(X1,vd1152)
| ron(X1,vd1152)
| rR(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),vd1123,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_45,negated_conjecture,
( ~ rR(X1,vd1123,vd1125)
| ~ ron(X1,vd1152)
| ~ ron(X1,vd1151)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1152),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_47,plain,
rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_48,plain,
ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1151),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_49,plain,
( rinside(X1,vd1152)
| ron(X1,vd1152)
| rR(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1123,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_28])]) ).
cnf(c_0_50,negated_conjecture,
~ rR(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1123,vd1125),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_51,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_39])]),c_0_40]),c_0_41]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO286+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 : n006.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 21:01:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 4.99/5.12 % Version : CSE_E---1.5
% 4.99/5.12 % Problem : theBenchmark.p
% 4.99/5.12 % Proof found
% 4.99/5.12 % SZS status Theorem for theBenchmark.p
% 4.99/5.12 % SZS output start Proof
% See solution above
% 4.99/5.13 % Total time : 4.535000 s
% 4.99/5.13 % SZS output end Proof
% 4.99/5.13 % Total time : 4.546000 s
%------------------------------------------------------------------------------