TSTP Solution File: GEO094+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 : Tue Aug 22 10:38:10 EDT 2023
% Result : Theorem 171.94s 146.36s
% Output : CNFRefutation 171.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 78 ( 16 unt; 27 typ; 0 def)
% Number of atoms : 135 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 143 ( 59 ~; 63 |; 11 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 23 >; 22 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 104 (; 103 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > part_of > inner_point > incident_c > end_point > open > closed > sum > #nlpp > #skF_9 > #skF_7 > #skF_11 > #skF_18 > #skF_17 > #skF_6 > #skF_8 > #skF_19 > #skF_13 > #skF_16 > #skF_14 > #skF_12 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_5 > #skF_15 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(closed,type,
closed: $i > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(inner_point,type,
inner_point: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(end_point,type,
end_point: ( $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(part_of,type,
part_of: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(meet,type,
meet: ( $i * $i * $i ) > $o ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(open,type,
open: $i > $o ).
tff(f_152,axiom,
! [C] :
? [P] : inner_point(P,C),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
tff(f_91,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
tff(f_58,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
tff(f_215,negated_conjecture,
~ ! [C,C1,C2,P] :
( ( meet(P,C1,C2)
& part_of(C1,C)
& part_of(C2,C) )
=> ~ end_point(P,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3) ).
tff(f_67,axiom,
! [C,C1,C2] :
( ( C = sum(C1,C2) )
<=> ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
tff(f_106,axiom,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
tff(f_84,axiom,
! [P,C] :
( end_point(P,C)
<=> ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
tff(c_74,plain,
! [C_44] : inner_point('#skF_9'(C_44),C_44),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_127,plain,
! [P_80,C_81] :
( incident_c(P_80,C_81)
| ~ inner_point(P_80,C_81) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_131,plain,
! [C_44] : incident_c('#skF_9'(C_44),C_44),
inference(resolution,[status(thm)],[c_74,c_127]) ).
tff(c_7427,plain,
! [P_803,C_804,C1_805] :
( incident_c(P_803,C_804)
| ~ incident_c(P_803,C1_805)
| ~ part_of(C1_805,C_804) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_7447,plain,
! [C_44,C_804] :
( incident_c('#skF_9'(C_44),C_804)
| ~ part_of(C_44,C_804) ),
inference(resolution,[status(thm)],[c_131,c_7427]) ).
tff(c_104,plain,
meet('#skF_19','#skF_17','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_11153,plain,
! [C_1128,C1_1129,C2_1130] :
( incident_c('#skF_2'(C_1128,C1_1129,C2_1130),C2_1130)
| incident_c('#skF_2'(C_1128,C1_1129,C2_1130),C1_1129)
| incident_c('#skF_3'(C_1128,C1_1129,C2_1130),C_1128)
| ( sum(C1_1129,C2_1130) = C_1128 ) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_22,plain,
! [C_6,C1_7,C2_8] :
( ~ incident_c('#skF_2'(C_6,C1_7,C2_8),C_6)
| incident_c('#skF_3'(C_6,C1_7,C2_8),C_6)
| ( sum(C1_7,C2_8) = C_6 ) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_111148,plain,
! [C1_47281,C2_47282] :
( incident_c('#skF_2'(C1_47281,C1_47281,C2_47282),C2_47282)
| incident_c('#skF_3'(C1_47281,C1_47281,C2_47282),C1_47281)
| ( sum(C1_47281,C2_47282) = C1_47281 ) ),
inference(resolution,[status(thm)],[c_11153,c_22]) ).
tff(c_113122,plain,
! [C2_47542] :
( incident_c('#skF_3'(C2_47542,C2_47542,C2_47542),C2_47542)
| ( sum(C2_47542,C2_47542) = C2_47542 ) ),
inference(resolution,[status(thm)],[c_111148,c_22]) ).
tff(c_16,plain,
! [C_6,C1_7,C2_8] :
( incident_c('#skF_2'(C_6,C1_7,C2_8),C2_8)
| incident_c('#skF_2'(C_6,C1_7,C2_8),C1_7)
| ~ incident_c('#skF_3'(C_6,C1_7,C2_8),C2_8)
| ( sum(C1_7,C2_8) = C_6 ) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_88454,plain,
! [C_42450,C2_42451] :
( ~ incident_c('#skF_3'(C_42450,C2_42451,C2_42451),C2_42451)
| ( sum(C2_42451,C2_42451) = C_42450 )
| incident_c('#skF_2'(C_42450,C2_42451,C2_42451),C2_42451) ),
inference(factorization,[status(thm),theory(equality)],[c_16]) ).
tff(c_18,plain,
! [C_6,C1_7,C2_8] :
( ~ incident_c('#skF_2'(C_6,C1_7,C2_8),C_6)
| ~ incident_c('#skF_3'(C_6,C1_7,C2_8),C1_7)
| ( sum(C1_7,C2_8) = C_6 ) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_88769,plain,
! [C2_42451] :
( ~ incident_c('#skF_3'(C2_42451,C2_42451,C2_42451),C2_42451)
| ( sum(C2_42451,C2_42451) = C2_42451 ) ),
inference(resolution,[status(thm)],[c_88454,c_18]) ).
tff(c_113446,plain,
! [C2_47671] : ( sum(C2_47671,C2_47671) = C2_47671 ),
inference(resolution,[status(thm)],[c_113122,c_88769]) ).
tff(c_142,plain,
! [P_84,C_85] :
( ~ end_point(P_84,C_85)
| ~ inner_point(P_84,C_85) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_146,plain,
! [C_44] : ~ end_point('#skF_9'(C_44),C_44),
inference(resolution,[status(thm)],[c_74,c_142]) ).
tff(c_12,plain,
! [Q_11,C1_7,C2_8] :
( ~ incident_c(Q_11,C1_7)
| incident_c(Q_11,sum(C1_7,C2_8)) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_8358,plain,
! [Q_918,C_919,C1_920,P_921] :
( end_point(Q_918,C_919)
| ~ incident_c(Q_918,C1_920)
| ~ incident_c(Q_918,C_919)
| ~ meet(P_921,C_919,C1_920) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_80722,plain,
! [C_39304,C1_39305,P_39308,C2_39307,Q_39306] :
( end_point(Q_39306,C_39304)
| ~ incident_c(Q_39306,C_39304)
| ~ meet(P_39308,C_39304,sum(C1_39305,C2_39307))
| ~ incident_c(Q_39306,C1_39305) ),
inference(resolution,[status(thm)],[c_12,c_8358]) ).
tff(c_80924,plain,
! [C_44,P_39308,C1_39305,C2_39307] :
( end_point('#skF_9'(C_44),C_44)
| ~ meet(P_39308,C_44,sum(C1_39305,C2_39307))
| ~ incident_c('#skF_9'(C_44),C1_39305) ),
inference(resolution,[status(thm)],[c_131,c_80722]) ).
tff(c_81032,plain,
! [P_39308,C_44,C1_39305,C2_39307] :
( ~ meet(P_39308,C_44,sum(C1_39305,C2_39307))
| ~ incident_c('#skF_9'(C_44),C1_39305) ),
inference(negUnitSimplification,[status(thm)],[c_146,c_80924]) ).
tff(c_114904,plain,
! [P_47928,C_47929,C2_47930] :
( ~ meet(P_47928,C_47929,C2_47930)
| ~ incident_c('#skF_9'(C_47929),C2_47930) ),
inference(superposition,[status(thm),theory(equality)],[c_113446,c_81032]) ).
tff(c_114910,plain,
~ incident_c('#skF_9'('#skF_17'),'#skF_18'),
inference(resolution,[status(thm)],[c_104,c_114904]) ).
tff(c_114938,plain,
~ part_of('#skF_17','#skF_18'),
inference(resolution,[status(thm)],[c_7447,c_114910]) ).
tff(c_100,plain,
part_of('#skF_18','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_7371,plain,
! [P_780,C1_781,C_782] :
( incident_c(P_780,C1_781)
| ~ meet(P_780,C_782,C1_781) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_7375,plain,
incident_c('#skF_19','#skF_18'),
inference(resolution,[status(thm)],[c_104,c_7371]) ).
tff(c_98,plain,
end_point('#skF_19','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_102,plain,
part_of('#skF_17','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_7376,plain,
! [P_783,C_784,C1_785] :
( incident_c(P_783,C_784)
| ~ meet(P_783,C_784,C1_785) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_7380,plain,
incident_c('#skF_19','#skF_17'),
inference(resolution,[status(thm)],[c_104,c_7376]) ).
tff(c_10577,plain,
! [C2_1102,C1_1103,P_1104,C_1105] :
( part_of(C2_1102,C1_1103)
| part_of(C1_1103,C2_1102)
| ~ incident_c(P_1104,C2_1102)
| ~ incident_c(P_1104,C1_1103)
| ~ part_of(C2_1102,C_1105)
| ~ part_of(C1_1103,C_1105)
| ~ end_point(P_1104,C_1105) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1149226,plain,
! [C1_387400,C_387401] :
( part_of('#skF_17',C1_387400)
| part_of(C1_387400,'#skF_17')
| ~ incident_c('#skF_19',C1_387400)
| ~ part_of('#skF_17',C_387401)
| ~ part_of(C1_387400,C_387401)
| ~ end_point('#skF_19',C_387401) ),
inference(resolution,[status(thm)],[c_7380,c_10577]) ).
tff(c_1149466,plain,
! [C1_387400] :
( part_of('#skF_17',C1_387400)
| part_of(C1_387400,'#skF_17')
| ~ incident_c('#skF_19',C1_387400)
| ~ part_of(C1_387400,'#skF_16')
| ~ end_point('#skF_19','#skF_16') ),
inference(resolution,[status(thm)],[c_102,c_1149226]) ).
tff(c_1149573,plain,
! [C1_387658] :
( part_of('#skF_17',C1_387658)
| part_of(C1_387658,'#skF_17')
| ~ incident_c('#skF_19',C1_387658)
| ~ part_of(C1_387658,'#skF_16') ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_1149466]) ).
tff(c_8578,plain,
! [Q_928,C1_929,C_930,P_931] :
( end_point(Q_928,C1_929)
| ~ incident_c(Q_928,C1_929)
| ~ incident_c(Q_928,C_930)
| ~ meet(P_931,C_930,C1_929) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_8640,plain,
! [C_44,C_930,P_931] :
( end_point('#skF_9'(C_44),C_44)
| ~ incident_c('#skF_9'(C_44),C_930)
| ~ meet(P_931,C_930,C_44) ),
inference(resolution,[status(thm)],[c_131,c_8578]) ).
tff(c_8749,plain,
! [C_937,C_938,P_939] :
( ~ incident_c('#skF_9'(C_937),C_938)
| ~ meet(P_939,C_938,C_937) ),
inference(negUnitSimplification,[status(thm)],[c_146,c_8640]) ).
tff(c_8820,plain,
! [P_944,C_945,C_946] :
( ~ meet(P_944,C_945,C_946)
| ~ part_of(C_946,C_945) ),
inference(resolution,[status(thm)],[c_7447,c_8749]) ).
tff(c_8828,plain,
~ part_of('#skF_18','#skF_17'),
inference(resolution,[status(thm)],[c_104,c_8820]) ).
tff(c_1150138,plain,
( part_of('#skF_17','#skF_18')
| ~ incident_c('#skF_19','#skF_18')
| ~ part_of('#skF_18','#skF_16') ),
inference(resolution,[status(thm)],[c_1149573,c_8828]) ).
tff(c_1150621,plain,
part_of('#skF_17','#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_7375,c_1150138]) ).
tff(c_1150623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114938,c_1150621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n026.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 : Fri Aug 4 00:30:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 171.94/146.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 171.96/146.37
% 171.96/146.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 171.96/146.40
% 171.96/146.40 Inference rules
% 171.96/146.40 ----------------------
% 171.96/146.40 #Ref : 0
% 171.96/146.40 #Sup : 212274
% 171.96/146.40 #Fact : 74
% 171.96/146.40 #Define : 0
% 171.96/146.40 #Split : 41
% 171.96/146.40 #Chain : 0
% 171.96/146.40 #Close : 0
% 171.96/146.40
% 171.96/146.40 Ordering : KBO
% 171.96/146.40
% 171.96/146.40 Simplification rules
% 171.96/146.40 ----------------------
% 171.96/146.40 #Subsume : 136745
% 171.96/146.40 #Demod : 43131
% 171.96/146.40 #Tautology : 24101
% 171.96/146.40 #SimpNegUnit : 553
% 171.96/146.40 #BackRed : 67
% 171.96/146.40
% 171.96/146.40 #Partial instantiations: 239680
% 171.96/146.40 #Strategies tried : 1
% 171.96/146.40
% 171.96/146.40 Timing (in seconds)
% 171.96/146.40 ----------------------
% 172.11/146.41 Preprocessing : 0.62
% 172.11/146.41 Parsing : 0.29
% 172.11/146.41 CNF conversion : 0.05
% 172.11/146.41 Main loop : 144.63
% 172.11/146.41 Inferencing : 13.08
% 172.11/146.41 Reduction : 56.07
% 172.11/146.41 Demodulation : 43.29
% 172.11/146.41 BG Simplification : 0.61
% 172.11/146.41 Subsumption : 63.86
% 172.11/146.41 Abstraction : 1.00
% 172.11/146.41 MUC search : 0.00
% 172.11/146.41 Cooper : 0.00
% 172.11/146.41 Total : 145.32
% 172.11/146.41 Index Insertion : 0.00
% 172.11/146.41 Index Deletion : 0.00
% 172.11/146.41 Index Matching : 0.00
% 172.11/146.41 BG Taut test : 0.00
%------------------------------------------------------------------------------