TSTP Solution File: GEO081+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO081+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 10:38:08 EDT 2023
% Result : Theorem 116.78s 96.76s
% Output : CNFRefutation 117.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 41 ( 5 unt; 26 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 14 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 26 (; 26 !; 0 ?; 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_211,negated_conjecture,
~ ! [C1,C2,C3] :
( ( part_of(C1,C2)
& part_of(C2,C3) )
=> part_of(C1,C3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
tff(f_57,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(c_102,plain,
part_of('#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_100,plain,
part_of('#skF_17','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_6,plain,
! [C_1,C1_2] :
( incident_c('#skF_1'(C_1,C1_2),C1_2)
| part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_236,plain,
! [P_117,C_118,C1_119] :
( incident_c(P_117,C_118)
| ~ incident_c(P_117,C1_119)
| ~ part_of(C1_119,C_118) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_585,plain,
! [C_194,C1_195,C_196] :
( incident_c('#skF_1'(C_194,C1_195),C_196)
| ~ part_of(C1_195,C_196)
| part_of(C1_195,C_194) ),
inference(resolution,[status(thm)],[c_6,c_236]) ).
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_1106468,plain,
! [C_446513,C1_446514,C_446515,C_446516] :
( incident_c('#skF_1'(C_446513,C1_446514),C_446515)
| ~ part_of(C_446516,C_446515)
| ~ part_of(C1_446514,C_446516)
| part_of(C1_446514,C_446513) ),
inference(resolution,[status(thm)],[c_585,c_2]) ).
tff(c_1106603,plain,
! [C_447029,C1_447030] :
( incident_c('#skF_1'(C_447029,C1_447030),'#skF_18')
| ~ part_of(C1_447030,'#skF_17')
| part_of(C1_447030,C_447029) ),
inference(resolution,[status(thm)],[c_100,c_1106468]) ).
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_1106959,plain,
! [C1_447543] :
( ~ part_of(C1_447543,'#skF_17')
| part_of(C1_447543,'#skF_18') ),
inference(resolution,[status(thm)],[c_1106603,c_4]) ).
tff(c_98,plain,
~ part_of('#skF_16','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_1107166,plain,
~ part_of('#skF_16','#skF_17'),
inference(resolution,[status(thm)],[c_1106959,c_98]) ).
tff(c_1107293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_1107166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:42:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 116.78/96.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.02/96.76
% 117.02/96.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 117.02/96.79
% 117.02/96.79 Inference rules
% 117.02/96.79 ----------------------
% 117.02/96.79 #Ref : 0
% 117.02/96.79 #Sup : 218975
% 117.02/96.79 #Fact : 66
% 117.02/96.79 #Define : 0
% 117.02/96.79 #Split : 38
% 117.02/96.79 #Chain : 0
% 117.02/96.79 #Close : 0
% 117.02/96.79
% 117.02/96.79 Ordering : KBO
% 117.02/96.79
% 117.02/96.79 Simplification rules
% 117.02/96.79 ----------------------
% 117.02/96.79 #Subsume : 146680
% 117.02/96.79 #Demod : 23434
% 117.02/96.79 #Tautology : 19363
% 117.02/96.79 #SimpNegUnit : 32
% 117.02/96.79 #BackRed : 8
% 117.02/96.79
% 117.02/96.79 #Partial instantiations: 264366
% 117.02/96.79 #Strategies tried : 1
% 117.02/96.79
% 117.02/96.79 Timing (in seconds)
% 117.02/96.79 ----------------------
% 117.02/96.79 Preprocessing : 0.60
% 117.02/96.79 Parsing : 0.29
% 117.02/96.79 CNF conversion : 0.05
% 117.02/96.79 Main loop : 95.13
% 117.02/96.79 Inferencing : 12.55
% 117.02/96.79 Reduction : 21.43
% 117.02/96.79 Demodulation : 13.42
% 117.02/96.79 BG Simplification : 0.69
% 117.02/96.79 Subsumption : 56.42
% 117.02/96.79 Abstraction : 1.11
% 117.02/96.79 MUC search : 0.00
% 117.02/96.79 Cooper : 0.00
% 117.02/96.79 Total : 95.77
% 117.02/96.79 Index Insertion : 0.00
% 117.02/96.79 Index Deletion : 0.00
% 117.02/96.79 Index Matching : 0.00
% 117.02/96.79 BG Taut test : 0.00
%------------------------------------------------------------------------------