TSTP Solution File: GEO287+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO287+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 : n024.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 22:47:41 EDT 2023
% Result : Theorem 2.88s 2.96s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 135
% Syntax : Number of formulae : 181 ( 32 unt; 132 typ; 0 def)
% Number of atoms : 363 ( 212 equ)
% Maximal formula atoms : 80 ( 7 avg)
% Number of connectives : 518 ( 204 ~; 250 |; 63 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 543 ( 116 >; 427 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 118 ( 118 usr; 16 con; 0-18 aty)
% Number of variables : 118 ( 0 sgn; 19 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1157: $i ).
tff(decl_23,type,
vd1158: $i ).
tff(decl_24,type,
vf: ( $i * $i ) > $i ).
tff(decl_25,type,
vd1164: $i ).
tff(decl_26,type,
vd1165: $i ).
tff(decl_27,type,
ron: ( $i * $i ) > $o ).
tff(decl_28,type,
vd1163: $i ).
tff(decl_29,type,
rline: $i > $o ).
tff(decl_30,type,
vd1156: $i ).
tff(decl_31,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
rpoint: $i > $o ).
tff(decl_33,type,
vskolem1197: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
vskolem1232: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
vskolem1234: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
rless: ( $i * $i ) > $o ).
tff(decl_39,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
v0: $i ).
tff(decl_41,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
rreal: $i > $o ).
tff(decl_44,type,
vplus: ( $i * $i ) > $i ).
tff(decl_45,type,
vd684: $i ).
tff(decl_46,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_48,type,
rinside: ( $i * $i ) > $o ).
tff(decl_49,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_50,type,
rcircle: $i > $o ).
tff(decl_51,type,
vd14: $i ).
tff(decl_52,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
rtriangle: $i > $o ).
tff(decl_54,type,
rleq: ( $i * $i ) > $o ).
tff(decl_55,type,
vperp: $i ).
tff(decl_56,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_57,type,
esk1_0: $i ).
tff(decl_58,type,
esk2_0: $i ).
tff(decl_59,type,
esk3_0: $i ).
tff(decl_60,type,
esk4_0: $i ).
tff(decl_61,type,
esk5_0: $i ).
tff(decl_62,type,
esk6_0: $i ).
tff(decl_63,type,
esk7_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk9_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk10_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk11_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk15_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk16_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk19_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk23_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk24_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk27_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk32_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk33_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk34_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk35_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk36_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk37_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk38_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk39_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk40_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk41_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk42_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk43_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk44_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk45_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk46_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk47_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk48_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk49_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk51_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk52_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
esk53_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
esk58_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
esk59_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk63_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
esk64_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk70_1: $i > $i ).
tff(decl_127,type,
esk71_1: $i > $i ).
tff(decl_128,type,
esk72_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk74_1: $i > $i ).
tff(decl_131,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_132,type,
esk76_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_133,type,
esk77_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk79_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
esk80_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_137,type,
esk81_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
esk82_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_139,type,
esk83_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_140,type,
esk84_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_141,type,
esk85_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk87_1: $i > $i ).
tff(decl_144,type,
esk88_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
esk89_3: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk91_1: $i > $i ).
tff(decl_148,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk97_3: ( $i * $i * $i ) > $i ).
fof('ass(cond(proof(267), 0), 2)',axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( ~ ? [X14] :
( ron(X13,X14)
& ron(X12,X14)
& ron(X11,X14)
& rline(X14) )
& vangle(X9,X8,X10) = vangle(X12,X11,X13)
& vf(X8,X10) = vf(X11,X13)
& vf(X8,X9) = vf(X11,X12)
& ? [X15] :
( X13 = X15
& rpoint(X15) )
& ? [X16] :
( X12 = X16
& rpoint(X16) )
& ? [X17] :
( X11 = X17
& rpoint(X17) )
& X9 != X10
& X8 != X10
& X8 != X9
& ? [X18] :
( X10 = X18
& rpoint(X18) )
& ? [X19] :
( X9 = X19
& rpoint(X19) )
& ? [X20] :
( X8 = X20
& rpoint(X20) ) )
=> vf(X12,X13) = vf(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 2)') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))',axiom,
( ~ ? [X1] :
( ron(vd1165,X1)
& ron(vd1164,X1)
& ron(vd1163,X1)
& rline(X1) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& ? [X2] :
( vd1165 = X2
& rpoint(X2) )
& ? [X3] :
( vd1164 = X3
& rpoint(X3) )
& ? [X4] :
( vd1163 = X4
& rpoint(X4) )
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& ? [X5] :
( vd1158 = X5
& rpoint(X5) )
& ? [X6] :
( vd1157 = X6
& rpoint(X6) )
& ? [X7] :
( vd1156 = X7
& rpoint(X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).
fof('holds(conjunct1(266), 1175, 0)',conjecture,
vf(vd1157,vd1158) = vf(vd1164,vd1165),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(266), 1175, 0)') ).
fof(c_0_3,plain,
! [X804,X805,X806,X807,X808,X809,X811,X812,X813,X814,X815,X816] :
( ( ron(X809,esk9_6(X804,X805,X806,X807,X808,X809))
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| vf(X804,X806) != vf(X807,X809)
| vf(X804,X805) != vf(X807,X808)
| X809 != X811
| ~ rpoint(X811)
| X808 != X812
| ~ rpoint(X812)
| X807 != X813
| ~ rpoint(X813)
| X805 = X806
| X804 = X806
| X804 = X805
| X806 != X814
| ~ rpoint(X814)
| X805 != X815
| ~ rpoint(X815)
| X804 != X816
| ~ rpoint(X816)
| vf(X808,X809) = vf(X805,X806) )
& ( ron(X808,esk9_6(X804,X805,X806,X807,X808,X809))
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| vf(X804,X806) != vf(X807,X809)
| vf(X804,X805) != vf(X807,X808)
| X809 != X811
| ~ rpoint(X811)
| X808 != X812
| ~ rpoint(X812)
| X807 != X813
| ~ rpoint(X813)
| X805 = X806
| X804 = X806
| X804 = X805
| X806 != X814
| ~ rpoint(X814)
| X805 != X815
| ~ rpoint(X815)
| X804 != X816
| ~ rpoint(X816)
| vf(X808,X809) = vf(X805,X806) )
& ( ron(X807,esk9_6(X804,X805,X806,X807,X808,X809))
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| vf(X804,X806) != vf(X807,X809)
| vf(X804,X805) != vf(X807,X808)
| X809 != X811
| ~ rpoint(X811)
| X808 != X812
| ~ rpoint(X812)
| X807 != X813
| ~ rpoint(X813)
| X805 = X806
| X804 = X806
| X804 = X805
| X806 != X814
| ~ rpoint(X814)
| X805 != X815
| ~ rpoint(X815)
| X804 != X816
| ~ rpoint(X816)
| vf(X808,X809) = vf(X805,X806) )
& ( rline(esk9_6(X804,X805,X806,X807,X808,X809))
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| vf(X804,X806) != vf(X807,X809)
| vf(X804,X805) != vf(X807,X808)
| X809 != X811
| ~ rpoint(X811)
| X808 != X812
| ~ rpoint(X812)
| X807 != X813
| ~ rpoint(X813)
| X805 = X806
| X804 = X806
| X804 = X805
| X806 != X814
| ~ rpoint(X814)
| X805 != X815
| ~ rpoint(X815)
| X804 != X816
| ~ rpoint(X816)
| vf(X808,X809) = vf(X805,X806) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(267), 0), 2)'])])])])]) ).
fof(c_0_4,plain,
! [X771] :
( ( ~ ron(vd1165,X771)
| ~ ron(vd1164,X771)
| ~ ron(vd1163,X771)
| ~ rline(X771) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vd1165 = esk1_0
& rpoint(esk1_0)
& vd1164 = esk2_0
& rpoint(esk2_0)
& vd1163 = esk3_0
& rpoint(esk3_0)
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& vd1158 = esk4_0
& rpoint(esk4_0)
& vd1157 = esk5_0
& rpoint(esk5_0)
& vd1156 = esk6_0
& rpoint(esk6_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))'])])])]) ).
cnf(c_0_5,plain,
( ron(X1,esk9_6(X2,X3,X4,X5,X1,X6))
| X3 = X4
| X2 = X4
| X2 = X3
| vf(X1,X6) = vf(X3,X4)
| vangle(X3,X2,X4) != vangle(X1,X5,X6)
| vf(X2,X4) != vf(X5,X6)
| vf(X2,X3) != vf(X5,X1)
| X6 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
vd1163 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
vd1164 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
vd1165 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( rline(esk9_6(X1,X2,X3,X4,X5,X6))
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X5,X6) = vf(X2,X3)
| vangle(X2,X1,X3) != vangle(X5,X4,X6)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( ron(X1,esk9_6(X2,X3,X4,X5,X6,X1))
| X3 = X4
| X2 = X4
| X2 = X3
| vf(X6,X1) = vf(X3,X4)
| vangle(X3,X2,X4) != vangle(X6,X5,X1)
| vf(X2,X4) != vf(X5,X1)
| vf(X2,X3) != vf(X5,X6)
| X1 != X7
| ~ rpoint(X7)
| X6 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
( ron(X1,esk9_6(X2,X3,X4,X1,X5,X6))
| X3 = X4
| X2 = X4
| X2 = X3
| vf(X5,X6) = vf(X3,X4)
| vangle(X3,X2,X4) != vangle(X5,X1,X6)
| vf(X2,X4) != vf(X1,X6)
| vf(X2,X3) != vf(X1,X5)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,plain,
( vf(X1,X2) = vf(X3,X4)
| X3 = X4
| X5 = X4
| X5 = X3
| ron(X1,esk9_6(X5,X3,X4,X6,X1,X2))
| vangle(X1,X6,X2) != vangle(X3,X5,X4)
| vf(X5,X4) != vf(X6,X2)
| vf(X5,X3) != vf(X6,X1)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_16,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
rpoint(vd1163),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_20,plain,
rpoint(vd1164),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_21,plain,
rpoint(vd1165),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_22,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
vd1156 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
vd1157 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
vd1158 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_28,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(266), 1175, 0)'])]) ).
cnf(c_0_29,plain,
( vf(X1,X2) = vf(X3,X4)
| X1 = X2
| X5 = X2
| X5 = X1
| rline(esk9_6(X5,X1,X2,X6,X3,X4))
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| vf(X5,X2) != vf(X6,X4)
| vf(X5,X1) != vf(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])])])])]) ).
cnf(c_0_30,plain,
( vf(X1,X2) = vf(X3,X4)
| X1 = X2
| X5 = X2
| X5 = X1
| ron(X4,esk9_6(X5,X1,X2,X6,X3,X4))
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| vf(X5,X2) != vf(X6,X4)
| vf(X5,X1) != vf(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])])]) ).
cnf(c_0_31,plain,
( vf(X1,X2) = vf(X3,X4)
| X1 = X2
| X5 = X2
| X5 = X1
| ron(X6,esk9_6(X5,X1,X2,X6,X3,X4))
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| vf(X6,X4) != vf(X5,X2)
| vf(X6,X3) != vf(X5,X1)
| ~ rpoint(X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])])])])]) ).
cnf(c_0_32,plain,
( vf(vd1164,vd1165) = vf(X1,X2)
| X1 = X2
| X3 = X2
| X3 = X1
| ron(vd1164,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| vangle(vd1157,vd1156,vd1158) != vangle(X1,X3,X2)
| vf(X3,X2) != vf(vd1156,vd1158)
| vf(X3,X1) != vf(vd1156,vd1157)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_33,plain,
rpoint(vd1156),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
rpoint(vd1157),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
rpoint(vd1158),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
vd1157 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,plain,
vd1156 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
vd1156 != vd1157,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,plain,
( vf(X1,X2) = vf(vd1164,vd1165)
| X1 = X2
| X3 = X2
| X3 = X1
| rline(esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| vf(X3,X2) != vf(vd1156,vd1158)
| vf(X3,X1) != vf(vd1156,vd1157)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_41,plain,
( vf(X1,X2) = vf(vd1164,vd1165)
| X1 = X2
| X3 = X2
| X3 = X1
| ron(vd1165,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| vf(X3,X2) != vf(vd1156,vd1158)
| vf(X3,X1) != vf(vd1156,vd1157)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_42,plain,
( vf(X1,X2) = vf(vd1164,vd1165)
| X1 = X2
| X3 = X2
| X3 = X1
| ron(vd1163,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| vf(vd1156,vd1158) != vf(X3,X2)
| vf(vd1156,vd1157) != vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_43,plain,
( ~ ron(vd1165,X1)
| ~ ron(vd1164,X1)
| ~ ron(vd1163,X1)
| ~ rline(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,plain,
ron(vd1164,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_45,plain,
rline(esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
ron(vd1165,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_47,plain,
ron(vd1163,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_48,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 20:58:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 2.88/2.96 % Version : CSE_E---1.5
% 2.88/2.96 % Problem : theBenchmark.p
% 2.88/2.96 % Proof found
% 2.88/2.96 % SZS status Theorem for theBenchmark.p
% 2.88/2.96 % SZS output start Proof
% See solution above
% 2.88/2.97 % Total time : 2.357000 s
% 2.88/2.97 % SZS output end Proof
% 2.88/2.97 % Total time : 2.370000 s
%------------------------------------------------------------------------------