TSTP Solution File: GEO274+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO274+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 : n008.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 22:47:37 EDT 2023
% Result : Theorem 0.19s 0.79s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 92
% Syntax : Number of formulae : 129 ( 26 unt; 81 typ; 0 def)
% Number of atoms : 162 ( 73 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 197 ( 83 ~; 78 |; 30 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 249 ( 68 >; 181 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 67 ( 67 usr; 13 con; 0-18 aty)
% Number of variables : 67 ( 0 sgn; 26 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1089: $i ).
tff(decl_23,type,
ron: ( $i * $i ) > $o ).
tff(decl_24,type,
vd1080: $i ).
tff(decl_25,type,
rline: $i > $o ).
tff(decl_26,type,
vd1092: $i ).
tff(decl_27,type,
vf: ( $i * $i ) > $i ).
tff(decl_28,type,
vd1085: $i ).
tff(decl_29,type,
rpoint: $i > $o ).
tff(decl_30,type,
vd1086: $i ).
tff(decl_31,type,
v0: $i ).
tff(decl_32,type,
vd1081: $i ).
tff(decl_33,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
rleq: ( $i * $i ) > $o ).
tff(decl_35,type,
rreal: $i > $o ).
tff(decl_36,type,
vplus: ( $i * $i ) > $i ).
tff(decl_37,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
rinside: ( $i * $i ) > $o ).
tff(decl_39,type,
rcircle: $i > $o ).
tff(decl_40,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
rless: ( $i * $i ) > $o ).
tff(decl_43,type,
vd684: $i ).
tff(decl_44,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_45,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_46,type,
vd14: $i ).
tff(decl_47,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
rtriangle: $i > $o ).
tff(decl_49,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
vperp: $i ).
tff(decl_51,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_52,type,
esk1_0: $i ).
tff(decl_53,type,
esk2_0: $i ).
tff(decl_54,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk4_0: $i ).
tff(decl_56,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk6_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk7_1: $i > $i ).
tff(decl_59,type,
esk8_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk9_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk10_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk15_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk25_1: $i > $i ).
tff(decl_77,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk28_1: $i > $i ).
tff(decl_80,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk30_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk35_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk41_1: $i > $i ).
tff(decl_93,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk45_1: $i > $i ).
tff(decl_97,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk51_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X369,X370,X371,X372] :
( ( ron(X370,X372)
& ron(X370,X371)
& ron(X369,X372)
& ron(X369,X371)
& ? [X373] :
( X372 = X373
& rline(X373) )
& ? [X374] :
( X371 = X374
& rline(X374) )
& X369 != X370
& ? [X375] :
( X370 = X375
& rpoint(X375) )
& ? [X376] :
( X369 = X376
& rpoint(X376) ) )
=> X371 = X372 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(theu(the(227), 1), imp(the(227)))',conjecture,
! [X1] :
( ( ron(vd1089,X1)
& ron(vd1080,X1)
& rline(X1) )
=> X1 = vd1092 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).
fof('qe(s1(plural(224)))',axiom,
? [X2] :
( vd1080 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X7,X8] :
( ( ? [X9] :
( X8 = X9
& rpoint(X9) )
& ? [X10] :
( X7 = X10
& rpoint(X10) ) )
=> ( vf(X7,X8) = v0
<=> X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('pred(225, 1)',axiom,
rpoint(vd1086),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 1)') ).
fof('pred(225, 4)',axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 4)') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X3,X4] :
( ( ? [X5] :
( X4 = X5
& rpoint(X5) )
& ? [X6] :
( X3 = X6
& rpoint(X6) ) )
=> vf(X3,X4) = vf(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('holds(226, 1090, 1)',axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).
fof('holds(conjunct1(225), 1087, 0)',axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof('and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))',axiom,
( ron(vd1089,vd1092)
& ron(vd1080,vd1092)
& rline(vd1092) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).
fof('pred(226, 0)',axiom,
rpoint(vd1089),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(c_0_11,plain,
! [X1110,X1111,X1112,X1113,X1114,X1115,X1116,X1117] :
( ~ ron(X1111,X1113)
| ~ ron(X1111,X1112)
| ~ ron(X1110,X1113)
| ~ ron(X1110,X1112)
| X1113 != X1114
| ~ rline(X1114)
| X1112 != X1115
| ~ rline(X1115)
| X1110 = X1111
| X1111 != X1116
| ~ rpoint(X1116)
| X1110 != X1117
| ~ rpoint(X1117)
| X1112 = X1113 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ron(vd1089,X1)
& ron(vd1080,X1)
& rline(X1) )
=> X1 = vd1092 ),
inference(assume_negation,[status(cth)],['qu(theu(the(227), 1), imp(the(227)))']) ).
fof(c_0_13,plain,
( vd1080 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(224)))'])]) ).
fof(c_0_14,plain,
! [X740,X741,X742,X743] :
( ( vf(X740,X741) != v0
| X740 = X741
| X741 != X742
| ~ rpoint(X742)
| X740 != X743
| ~ rpoint(X743) )
& ( X740 != X741
| vf(X740,X741) = v0
| X741 != X742
| ~ rpoint(X742)
| X740 != X743
| ~ rpoint(X743) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
cnf(c_0_15,plain,
( X4 = X1
| X3 = X2
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| X2 != X5
| ~ rline(X5)
| X3 != X6
| ~ rline(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,negated_conjecture,
( ron(vd1089,esk1_0)
& ron(vd1080,esk1_0)
& rline(esk1_0)
& esk1_0 != vd1092 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_17,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
vd1080 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
rpoint(vd1086),
inference(split_conjunct,[status(thm)],['pred(225, 1)']) ).
cnf(c_0_21,plain,
vd1085 = vd1086,
inference(split_conjunct,[status(thm)],['pred(225, 4)']) ).
fof(c_0_22,plain,
! [X736,X737,X738,X739] :
( X737 != X738
| ~ rpoint(X738)
| X736 != X739
| ~ rpoint(X739)
| vf(X736,X737) = vf(X737,X736) ),
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)))'])])]) ).
cnf(c_0_23,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_24,negated_conjecture,
ron(vd1080,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
rpoint(vd1080),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])]) ).
cnf(c_0_28,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(split_conjunct,[status(thm)],['holds(226, 1090, 1)']) ).
cnf(c_0_29,plain,
rpoint(vd1085),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
vd1085 != vd1080,
inference(split_conjunct,[status(thm)],['holds(conjunct1(225), 1087, 0)']) ).
cnf(c_0_31,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( X1 = esk1_0
| X2 = vd1080
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1080,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_33,plain,
ron(vd1080,vd1092),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))']) ).
cnf(c_0_34,plain,
rline(vd1092),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))']) ).
cnf(c_0_35,negated_conjecture,
esk1_0 != vd1092,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
vf(vd1089,vd1080) != v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_25])]),c_0_30]) ).
cnf(c_0_37,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).
cnf(c_0_38,plain,
rpoint(vd1089),
inference(split_conjunct,[status(thm)],['pred(226, 0)']) ).
cnf(c_0_39,negated_conjecture,
( X1 = vd1080
| ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1092) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
ron(vd1089,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_41,plain,
ron(vd1089,vd1092),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))']) ).
cnf(c_0_42,plain,
vf(vd1080,vd1089) != v0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25]),c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
vd1089 = vd1080,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_41])]) ).
cnf(c_0_44,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_45,plain,
vf(vd1080,vd1080) != v0,
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])])]) ).
cnf(c_0_47,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:08:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.79 % Version : CSE_E---1.5
% 0.19/0.79 % Problem : theBenchmark.p
% 0.19/0.79 % Proof found
% 0.19/0.79 % SZS status Theorem for theBenchmark.p
% 0.19/0.79 % SZS output start Proof
% See solution above
% 0.19/0.80 % Total time : 0.229000 s
% 0.19/0.80 % SZS output end Proof
% 0.19/0.80 % Total time : 0.239000 s
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