TSTP Solution File: GEO332+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO332+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 : n031.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 22:47:48 EDT 2023
% Result : Theorem 1.24s 1.33s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 94
% Syntax : Number of formulae : 133 ( 20 unt; 83 typ; 0 def)
% Number of atoms : 221 ( 101 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 287 ( 116 ~; 124 |; 43 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 279 ( 73 >; 206 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 69 ( 69 usr; 10 con; 0-18 aty)
% Number of variables : 118 ( 0 sgn; 55 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1362: $i ).
tff(decl_23,type,
vf: ( $i * $i ) > $i ).
tff(decl_24,type,
vd1361: $i ).
tff(decl_25,type,
vd1363: $i ).
tff(decl_26,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
rpoint: $i > $o ).
tff(decl_28,type,
rless: ( $i * $i ) > $o ).
tff(decl_29,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
ron: ( $i * $i ) > $o ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
vplus: ( $i * $i ) > $i ).
tff(decl_35,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
v0: $i ).
tff(decl_37,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_38,type,
rinside: ( $i * $i ) > $o ).
tff(decl_39,type,
rreal: $i > $o ).
tff(decl_40,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
vd684: $i ).
tff(decl_42,type,
rcircle: $i > $o ).
tff(decl_43,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_44,type,
vd14: $i ).
tff(decl_45,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
rtriangle: $i > $o ).
tff(decl_47,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
vperp: $i ).
tff(decl_49,type,
rleq: ( $i * $i ) > $o ).
tff(decl_50,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk16_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk17_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk21_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk26_1: $i > $i ).
tff(decl_77,type,
esk27_1: $i > $i ).
tff(decl_78,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk30_1: $i > $i ).
tff(decl_81,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk32_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk37_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk43_1: $i > $i ).
tff(decl_94,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk47_1: $i > $i ).
tff(decl_98,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk51_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk52_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk53_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk54_3: ( $i * $i * $i ) > $i ).
fof('ass(cond(goal(238), 0), 1)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> rR(vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35),X28,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X74,X75] :
( ( ? [X76] :
( X75 = X76
& rpoint(X76) )
& ? [X77] :
( X74 = X77
& rpoint(X77) ) )
=> vf(X74,X75) = vf(X75,X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('ass(cond(goal(238), 0), 2)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> rpoint(vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof('qe(390)',conjecture,
? [X1] :
( vf(vd1362,X1) = vf(vd1361,vd1363)
& rR(X1,vd1362,vd1361)
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(390)') ).
fof('qe(s2(plural(386)))',axiom,
? [X3] :
( vd1362 = X3
& rpoint(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof('qe(s1(plural(386)))',axiom,
? [X4] :
( vd1361 = X4
& rpoint(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof('qe(s3(plural(386)))',axiom,
? [X2] :
( vd1363 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof('ass(cond(goal(238), 0), 0)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> vf(X28,vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35)) = vf(X32,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof('holds(389, 1370, 0)',axiom,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(389, 1370, 0)') ).
fof('pred(386, 7)',axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof('pred(386, 8)',axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(c_0_11,plain,
! [X843,X844,X845,X846,X847,X848,X849,X850] :
( ~ rless(vf(X847,X849),vf(X843,X845))
| X847 = X849
| X843 = X845
| X849 != X850
| ~ rpoint(X850)
| X847 != X848
| ~ rpoint(X848)
| X845 != X846
| ~ rpoint(X846)
| X843 != X844
| ~ rpoint(X844)
| rR(vskolem1120(X843,X844,X845,X846,X847,X848,X849,X850),X843,X845) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 1)'])]) ).
fof(c_0_12,plain,
! [X903,X904,X905,X906] :
( X904 != X905
| ~ rpoint(X905)
| X903 != X906
| ~ rpoint(X906)
| vf(X903,X904) = vf(X904,X903) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).
fof(c_0_13,plain,
! [X851,X852,X853,X854,X855,X856,X857,X858] :
( ~ rless(vf(X855,X857),vf(X851,X853))
| X855 = X857
| X851 = X853
| X857 != X858
| ~ rpoint(X858)
| X855 != X856
| ~ rpoint(X856)
| X853 != X854
| ~ rpoint(X854)
| X851 != X852
| ~ rpoint(X852)
| rpoint(vskolem1120(X851,X852,X853,X854,X855,X856,X857,X858)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 2)'])]) ).
fof(c_0_14,negated_conjecture,
~ ? [X1] :
( vf(vd1362,X1) = vf(vd1361,vd1363)
& rR(X1,vd1362,vd1361)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(390)']) ).
fof(c_0_15,plain,
( vd1362 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).
cnf(c_0_16,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5),X3,X4)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
( vd1361 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).
fof(c_0_19,plain,
( vd1363 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).
cnf(c_0_20,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5))
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,negated_conjecture,
! [X772] :
( vf(vd1362,X772) != vf(vd1361,vd1363)
| ~ rR(X772,vd1362,vd1361)
| ~ rpoint(X772) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_22,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
vd1362 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_25,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])]) ).
cnf(c_0_26,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
vd1361 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
vd1363 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])])]) ).
fof(c_0_31,plain,
! [X835,X836,X837,X838,X839,X840,X841,X842] :
( ~ rless(vf(X839,X841),vf(X835,X837))
| X839 = X841
| X835 = X837
| X841 != X842
| ~ rpoint(X842)
| X839 != X840
| ~ rpoint(X840)
| X837 != X838
| ~ rpoint(X838)
| X835 != X836
| ~ rpoint(X836)
| vf(X835,vskolem1120(X835,X836,X837,X838,X839,X840,X841,X842)) = vf(X839,X841) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 0)'])]) ).
cnf(c_0_32,negated_conjecture,
( vf(vd1362,X1) != vf(vd1361,vd1363)
| ~ rR(X1,vd1362,vd1361)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
rpoint(vd1362),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)
| ~ rless(vf(X3,X4),vf(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
inference(split_conjunct,[status(thm)],['holds(389, 1370, 0)']) ).
cnf(c_0_36,plain,
rpoint(vd1361),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_37,plain,
rpoint(vd1363),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
vd1361 != vd1362,
inference(split_conjunct,[status(thm)],['pred(386, 7)']) ).
cnf(c_0_39,plain,
vd1361 != vd1363,
inference(split_conjunct,[status(thm)],['pred(386, 8)']) ).
cnf(c_0_40,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))
| ~ rless(vf(X3,X4),vf(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_41,plain,
( X1 = X2
| X3 = X4
| vf(X3,vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5)) = vf(X1,X2)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( vf(X1,vd1362) != vf(vd1361,vd1363)
| ~ rpoint(X1)
| ~ rR(X1,vd1362,vd1361) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_33])]) ).
cnf(c_0_43,plain,
rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361),
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(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33]),c_0_36]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_44,plain,
rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363)),
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(spm,[status(thm)],[c_0_40,c_0_35]),c_0_33]),c_0_36]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_45,plain,
( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
| X1 = X2
| X3 = X4
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])])])]) ).
cnf(c_0_46,negated_conjecture,
vf(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362) != vf(vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_47,plain,
( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
| X1 = X2
| X3 = X4
| ~ rless(vf(X3,X4),vf(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363)) != vf(vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_25]),c_0_33]),c_0_44])]) ).
cnf(c_0_49,plain,
$false,
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(spm,[status(thm)],[c_0_47,c_0_35]),c_0_33]),c_0_36]),c_0_37])]),c_0_48]),c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO332+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:56:41 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 1.24/1.33 % Version : CSE_E---1.5
% 1.24/1.33 % Problem : theBenchmark.p
% 1.24/1.33 % Proof found
% 1.24/1.33 % SZS status Theorem for theBenchmark.p
% 1.24/1.33 % SZS output start Proof
% See solution above
% 1.24/1.34 % Total time : 0.758000 s
% 1.24/1.34 % SZS output end Proof
% 1.24/1.34 % Total time : 0.769000 s
%------------------------------------------------------------------------------