TSTP Solution File: GEO087+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO087+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : Tue Aug 22 10:38:09 EDT 2023
% Result : Theorem 14.84s 5.54s
% Output : CNFRefutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of formulae : 52 ( 9 unt; 26 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 21 |; 5 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 49 (; 47 !; 2 ?; 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_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(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_57,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
tff(f_211,negated_conjecture,
~ ! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_9) ).
tff(f_151,axiom,
! [C] :
? [P] : inner_point(P,C),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).
tff(f_90,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
tff(f_105,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/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
tff(c_2774,plain,
! [C_361,C1_362] :
( incident_c('#skF_1'(C_361,C1_362),C1_362)
| part_of(C1_362,C_361) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4,plain,
! [C_1,C1_2] :
( ~ incident_c('#skF_1'(C_1,C1_2),C_1)
| part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2779,plain,
! [C1_362] : part_of(C1_362,C1_362),
inference(resolution,[status(thm)],[c_2774,c_4]) ).
tff(c_98,plain,
meet('#skF_18','#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_74,plain,
! [C_44] : inner_point('#skF_9'(C_44),C_44),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_114,plain,
! [P_79,C_80] :
( ~ end_point(P_79,C_80)
| ~ inner_point(P_79,C_80) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_118,plain,
! [C_44] : ~ end_point('#skF_9'(C_44),C_44),
inference(resolution,[status(thm)],[c_74,c_114]) ).
tff(c_120,plain,
! [P_82,C_83] :
( incident_c(P_82,C_83)
| ~ inner_point(P_82,C_83) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_124,plain,
! [C_44] : incident_c('#skF_9'(C_44),C_44),
inference(resolution,[status(thm)],[c_74,c_120]) ).
tff(c_100,plain,
part_of('#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_2810,plain,
! [P_376,C_377,C1_378] :
( incident_c(P_376,C_377)
| ~ incident_c(P_376,C1_378)
| ~ part_of(C1_378,C_377) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2875,plain,
! [C_385,C_386] :
( incident_c('#skF_9'(C_385),C_386)
| ~ part_of(C_385,C_386) ),
inference(resolution,[status(thm)],[c_124,c_2810]) ).
tff(c_2,plain,
! [P_5,C_1,C1_2] :
( incident_c(P_5,C_1)
| ~ incident_c(P_5,C1_2)
| ~ part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2918,plain,
! [C_397,C_398,C_399] :
( incident_c('#skF_9'(C_397),C_398)
| ~ part_of(C_399,C_398)
| ~ part_of(C_397,C_399) ),
inference(resolution,[status(thm)],[c_2875,c_2]) ).
tff(c_2927,plain,
! [C_397] :
( incident_c('#skF_9'(C_397),'#skF_17')
| ~ part_of(C_397,'#skF_16') ),
inference(resolution,[status(thm)],[c_100,c_2918]) ).
tff(c_3902,plain,
! [Q_502,C_503,C1_504,P_505] :
( end_point(Q_502,C_503)
| ~ incident_c(Q_502,C1_504)
| ~ incident_c(Q_502,C_503)
| ~ meet(P_505,C_503,C1_504) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_60782,plain,
! [C_33581,C_33582,P_33583] :
( end_point('#skF_9'(C_33581),C_33582)
| ~ incident_c('#skF_9'(C_33581),C_33582)
| ~ meet(P_33583,C_33582,'#skF_17')
| ~ part_of(C_33581,'#skF_16') ),
inference(resolution,[status(thm)],[c_2927,c_3902]) ).
tff(c_60926,plain,
! [C_44,P_33583] :
( end_point('#skF_9'(C_44),C_44)
| ~ meet(P_33583,C_44,'#skF_17')
| ~ part_of(C_44,'#skF_16') ),
inference(resolution,[status(thm)],[c_124,c_60782]) ).
tff(c_60964,plain,
! [P_33712,C_33713] :
( ~ meet(P_33712,C_33713,'#skF_17')
| ~ part_of(C_33713,'#skF_16') ),
inference(negUnitSimplification,[status(thm)],[c_118,c_60926]) ).
tff(c_60969,plain,
~ part_of('#skF_16','#skF_16'),
inference(resolution,[status(thm)],[c_98,c_60964]) ).
tff(c_60973,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2779,c_60969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO087+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n027.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 00:36:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 14.84/5.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.84/5.54
% 14.84/5.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.05/5.57
% 15.05/5.57 Inference rules
% 15.05/5.57 ----------------------
% 15.05/5.57 #Ref : 0
% 15.05/5.57 #Sup : 11057
% 15.05/5.57 #Fact : 12
% 15.05/5.57 #Define : 0
% 15.05/5.57 #Split : 16
% 15.05/5.57 #Chain : 0
% 15.05/5.57 #Close : 0
% 15.05/5.57
% 15.05/5.57 Ordering : KBO
% 15.05/5.57
% 15.05/5.57 Simplification rules
% 15.05/5.57 ----------------------
% 15.05/5.57 #Subsume : 6570
% 15.05/5.57 #Demod : 1282
% 15.05/5.57 #Tautology : 745
% 15.05/5.57 #SimpNegUnit : 14
% 15.05/5.57 #BackRed : 37
% 15.05/5.57
% 15.05/5.57 #Partial instantiations: 19532
% 15.05/5.57 #Strategies tried : 1
% 15.05/5.57
% 15.05/5.57 Timing (in seconds)
% 15.05/5.57 ----------------------
% 15.05/5.58 Preprocessing : 0.60
% 15.05/5.58 Parsing : 0.30
% 15.05/5.58 CNF conversion : 0.05
% 15.05/5.58 Main loop : 3.84
% 15.05/5.58 Inferencing : 1.32
% 15.05/5.58 Reduction : 1.08
% 15.05/5.58 Demodulation : 0.77
% 15.05/5.58 BG Simplification : 0.09
% 15.05/5.58 Subsumption : 1.10
% 15.05/5.58 Abstraction : 0.10
% 15.05/5.58 MUC search : 0.00
% 15.05/5.58 Cooper : 0.00
% 15.05/5.58 Total : 4.49
% 15.05/5.58 Index Insertion : 0.00
% 15.05/5.58 Index Deletion : 0.00
% 15.05/5.58 Index Matching : 0.00
% 15.05/5.58 BG Taut test : 0.00
%------------------------------------------------------------------------------