TSTP Solution File: GEO282+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO282+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 8.35s 8.44s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 99
% Syntax : Number of formulae : 154 ( 24 unt; 89 typ; 0 def)
% Number of atoms : 289 ( 92 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 392 ( 168 ~; 166 |; 50 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 73 ( 73 usr; 18 con; 0-18 aty)
% Number of variables : 140 ( 0 sgn; 52 !; 10 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1125: $i ).
tff(decl_23,type,
vd1146: $i ).
tff(decl_24,type,
rinside: ( $i * $i ) > $o ).
tff(decl_25,type,
vd1129: $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,
vd1145: $i ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vd1127: $i ).
tff(decl_33,type,
vskolem1140: $i ).
tff(decl_34,type,
vf: ( $i * $i ) > $i ).
tff(decl_35,type,
vskolem1136: $i ).
tff(decl_36,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
vskolem1139: $i ).
tff(decl_38,type,
vskolem1138: $i ).
tff(decl_39,type,
rpoint: $i > $o ).
tff(decl_40,type,
rless: ( $i * $i ) > $o ).
tff(decl_41,type,
vd1130: $i ).
tff(decl_42,type,
vd1128: $i ).
tff(decl_43,type,
vd1126: $i ).
tff(decl_44,type,
vd1124: $i ).
tff(decl_45,type,
rreal: $i > $o ).
tff(decl_46,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
vplus: ( $i * $i ) > $i ).
tff(decl_48,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
v0: $i ).
tff(decl_50,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_53,type,
vd684: $i ).
tff(decl_54,type,
vd14: $i ).
tff(decl_55,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
rtriangle: $i > $o ).
tff(decl_57,type,
vperp: $i ).
tff(decl_58,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_60,type,
rleq: ( $i * $i ) > $o ).
tff(decl_61,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk7_1: $i > $i ).
tff(decl_68,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk21_1: $i > $i ).
tff(decl_82,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk24_1: $i > $i ).
tff(decl_85,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk26_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk27_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk31_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk37_1: $i > $i ).
tff(decl_98,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk41_1: $i > $i ).
tff(decl_102,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk45_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk46_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk47_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
epred1_0: $o ).
tff(decl_110,type,
epred2_0: $o ).
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X126,X127,X128,X129,X130] :
( ( vf(X128,X126) = vf(X128,X127)
& ron(X127,X130)
& ron(X126,X129)
& rcenter(X128,X130)
& rcenter(X128,X129)
& ? [X131] :
( X127 = X131
& rpoint(X131) )
& ? [X132] :
( X126 = X132
& rpoint(X132) ) )
=> X129 = X130 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X1,X2] :
( ( X1 != X2
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) ) )
=> ? [X5] :
( ron(X2,X5)
& rcenter(X1,X5)
& rcircle(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 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/sandbox/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(252, 1144, 0)',axiom,
vd1123 = vd1127,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(252, 1144, 0)') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X11,X12,X13,X14] :
( ( ron(X12,X14)
& rcenter(X13,X14)
& ? [X15] :
( X12 = X15
& rpoint(X15) )
& ? [X16] :
( X11 = X16
& rpoint(X16) ) )
=> ( rless(vf(X13,X11),vf(X13,X12))
<=> rinside(X11,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))',axiom,
( ron(vd1129,vd1146)
& rcenter(vd1123,vd1146)
& rcircle(vd1146)
& ron(vd1125,vd1145)
& ron(vd1123,vd1145) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))') ).
fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
! [X139,X140,X141,X142,X143,X144] :
( ( rless(X141,X143)
& rless(X139,X141)
& X143 = X144
& rreal(X144)
& X141 = X142
& rreal(X142)
& X139 = X140
& rreal(X140) )
=> rless(X139,X143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X28,X29] :
( ( X28 = X29
& rreal(X29) )
=> ~ rless(X28,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X23,X24] :
( ( ? [X25] :
( X24 = X25
& rpoint(X25) )
& ? [X26] :
( X23 = X26
& rpoint(X26) ) )
=> ? [X27] :
( vf(X23,X24) = X27
& rreal(X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('neg(neg(254))',conjecture,
~ rinside(vd1125,vd1146),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(254))') ).
fof(c_0_10,plain,
! [X876,X877,X878,X879,X880,X881,X882] :
( vf(X878,X876) != vf(X878,X877)
| ~ ron(X877,X880)
| ~ ron(X876,X879)
| ~ rcenter(X878,X880)
| ~ rcenter(X878,X879)
| X877 != X881
| ~ rpoint(X881)
| X876 != X882
| ~ rpoint(X882)
| X879 = X880 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])]) ).
cnf(c_0_11,plain,
( X5 = X4
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| ~ ron(X2,X5)
| ~ rcenter(X1,X4)
| ~ rcenter(X1,X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_12,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X5,X1)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).
fof(c_0_13,plain,
! [X737,X738,X739,X740] :
( ( ron(X738,esk1_2(X737,X738))
| X737 = X738
| X738 != X739
| ~ rpoint(X739)
| X737 != X740
| ~ rpoint(X740) )
& ( rcenter(X737,esk1_2(X737,X738))
| X737 = X738
| X738 != X739
| ~ rpoint(X739)
| X737 != X740
| ~ rpoint(X740) )
& ( rcircle(esk1_2(X737,X738))
| X737 = X738
| X738 != X739
| ~ rpoint(X739)
| X737 != X740
| ~ rpoint(X740) ) ),
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)))'])])])])]) ).
cnf(c_0_14,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_15,plain,
vd1123 = vd1127,
inference(split_conjunct,[status(thm)],['holds(252, 1144, 0)']) ).
fof(c_0_16,plain,
! [X747,X748,X749,X750,X751,X752] :
( ( ~ rless(vf(X749,X747),vf(X749,X748))
| rinside(X747,X750)
| ~ ron(X748,X750)
| ~ rcenter(X749,X750)
| X748 != X751
| ~ rpoint(X751)
| X747 != X752
| ~ rpoint(X752) )
& ( ~ rinside(X747,X750)
| rless(vf(X749,X747),vf(X749,X748))
| ~ ron(X748,X750)
| ~ rcenter(X749,X750)
| X748 != X751
| ~ rpoint(X751)
| X747 != X752
| ~ rpoint(X752) ) ),
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_17,plain,
( X1 = X2
| ~ rpoint(X3)
| ~ rcenter(X4,X2)
| ~ rcenter(X4,X1)
| ~ ron(X3,X1)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
rcenter(vd1123,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_19,plain,
( rcenter(X1,esk1_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,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_21,plain,
vd1128 = vd1123,
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,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_16]) ).
cnf(c_0_23,plain,
( X1 = vd1146
| ~ rpoint(X2)
| ~ rcenter(vd1123,X1)
| ~ ron(X2,vd1146)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( X1 = X2
| rcenter(X1,esk1_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])]) ).
cnf(c_0_25,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,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_27,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_28,plain,
! [X889,X890,X891,X892,X893,X894] :
( ~ rless(X891,X893)
| ~ rless(X889,X891)
| X893 != X894
| ~ rreal(X894)
| X891 != X892
| ~ rreal(X892)
| X889 != X890
| ~ rreal(X890)
| rless(X889,X893) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).
cnf(c_0_29,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_22])]) ).
cnf(c_0_30,plain,
( ron(X1,esk1_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( esk1_2(vd1123,X1) = vd1146
| vd1123 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,esk1_2(vd1123,X1))
| ~ ron(X2,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_32,plain,
ron(vd1129,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_33,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,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)))']) ).
fof(c_0_35,plain,
! [X28,X29] :
( ( X28 = X29
& rreal(X29) )
=> ~ rless(X28,X28) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
cnf(c_0_36,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_28]) ).
cnf(c_0_37,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_38,plain,
( X1 = X2
| rless(vf(X1,X3),vf(X1,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X4,esk1_2(X1,X2))
| ~ rinside(X3,esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_39,plain,
( X1 = X2
| ron(X1,esk1_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_40,plain,
( esk1_2(vd1123,X1) = vd1146
| vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1129,esk1_2(vd1123,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_41,plain,
vd1129 != vd1123,
inference(rw,[status(thm)],[c_0_34,c_0_15]) ).
fof(c_0_42,plain,
! [X764,X765] :
( X764 != X765
| ~ rreal(X765)
| ~ rless(X764,X764) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_43,plain,
! [X759,X760,X761,X762] :
( ( vf(X759,X760) = esk3_2(X759,X760)
| X760 != X761
| ~ rpoint(X761)
| X759 != X762
| ~ rpoint(X762) )
& ( rreal(esk3_2(X759,X760))
| X760 != X761
| ~ rpoint(X761)
| X759 != X762
| ~ rpoint(X762) ) ),
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_44,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_36])])]) ).
cnf(c_0_45,plain,
rless(vf(vd1123,vd1129),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_46,plain,
( X1 = X2
| rless(vf(X1,X3),vf(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rinside(X3,esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
esk1_2(vd1123,vd1129) = vd1146,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_33]),c_0_25])]),c_0_41]) ).
cnf(c_0_48,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_49,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_50,negated_conjecture,
rinside(vd1125,vd1146),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(254))'])]) ).
cnf(c_0_51,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( rreal(esk3_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( vf(X1,X2) = esk3_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( rless(vf(vd1123,vd1129),X1)
| ~ rreal(vf(vd1123,vd1129))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(X1)
| ~ rless(vf(vd1123,vd1125),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1129))
| ~ rpoint(X1)
| ~ rinside(X1,vd1146) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33]),c_0_25])]),c_0_41]) ).
cnf(c_0_56,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
rinside(vd1125,vd1146),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( rreal(esk3_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]) ).
cnf(c_0_60,plain,
( esk3_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_53])]) ).
cnf(c_0_61,plain,
( ~ rreal(vf(vd1123,vd1129))
| ~ rreal(vf(vd1123,vd1125)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_62,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
~ rreal(vf(vd1123,vd1129)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_25]),c_0_56])]) ).
cnf(c_0_64,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_25]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO282+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n027.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 23:40:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 8.35/8.44 % Version : CSE_E---1.5
% 8.35/8.44 % Problem : theBenchmark.p
% 8.35/8.44 % Proof found
% 8.35/8.44 % SZS status Theorem for theBenchmark.p
% 8.35/8.44 % SZS output start Proof
% See solution above
% 8.41/8.45 % Total time : 7.846000 s
% 8.41/8.45 % SZS output end Proof
% 8.41/8.45 % Total time : 7.857000 s
%------------------------------------------------------------------------------