TSTP Solution File: GEO146+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO146+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 : n019.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 10:38:17 EDT 2023
% Result : Theorem 36.91s 19.93s
% Output : CNFRefutation 37.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 61
% Syntax : Number of formulae : 90 ( 14 unt; 58 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 114 ( 52 >; 62 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 6 con; 0-5 aty)
% Number of variables : 40 (; 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_o > between_c > ordered_by > meet > connect > start_point > part_of > inner_point > incident_o > incident_c > finish_point > end_point > open > once > closed > sum > at_the_same_time > at > #nlpp > underlying_curve > trajectory_of > #skF_9 > #skF_33 > #skF_7 > #skF_24 > #skF_11 > #skF_26 > #skF_6 > #skF_30 > #skF_19 > #skF_17 > #skF_31 > #skF_32 > #skF_38 > #skF_36 > #skF_20 > #skF_8 > #skF_37 > #skF_13 > #skF_14 > #skF_12 > #skF_18 > #skF_16 > #skF_10 > #skF_2 > #skF_23 > #skF_28 > #skF_25 > #skF_3 > #skF_35 > #skF_29 > #skF_27 > #skF_1 > #skF_5 > #skF_22 > #skF_15 > #skF_4 > #skF_34 > #skF_21
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(once,type,
once: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(underlying_curve,type,
underlying_curve: $i > $i ).
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(between_c,type,
between_c: ( $i * $i * $i * $i ) > $o ).
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(trajectory_of,type,
trajectory_of: $i > $i ).
tff(end_point,type,
end_point: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(finish_point,type,
finish_point: ( $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(start_point,type,
start_point: ( $i * $i ) > $o ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': $i ).
tff('#skF_36',type,
'#skF_36': $i ).
tff(at_the_same_time,type,
at_the_same_time: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_37',type,
'#skF_37': $i ).
tff(part_of,type,
part_of: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(between_o,type,
between_o: ( $i * $i * $i * $i ) > $o ).
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('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff(at,type,
at: ( $i * $i ) > $i ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(connect,type,
connect: ( $i * $i * $i ) > $o ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(ordered_by,type,
ordered_by: ( $i * $i * $i ) > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(incident_o,type,
incident_o: ( $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(open,type,
open: $i > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i ) > $i ).
tff(f_437,negated_conjecture,
~ ! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12) ).
tff(f_390,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
tff(f_394,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',symmetry_of_at_the_same_time) ).
tff(c_224,plain,
( connect('#skF_34','#skF_33','#skF_35')
| ~ connect('#skF_37','#skF_36','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_274,plain,
~ connect('#skF_37','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_224]) ).
tff(c_228,plain,
( connect('#skF_34','#skF_33','#skF_35')
| connect('#skF_36','#skF_37','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_249,plain,
connect('#skF_36','#skF_37','#skF_38'),
inference(splitLeft,[status(thm)],[c_228]) ).
tff(c_1949,plain,
! [X_493,P_494,Y_495] :
( once(at_the_same_time(at(X_493,P_494),at(Y_495,P_494)))
| ~ connect(X_493,Y_495,P_494) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_200,plain,
! [A_137,B_138] :
( once(at_the_same_time(A_137,B_138))
| ~ once(at_the_same_time(B_138,A_137)) ),
inference(cnfTransformation,[status(thm)],[f_394]) ).
tff(c_3432,plain,
! [Y_585,P_586,X_587] :
( once(at_the_same_time(at(Y_585,P_586),at(X_587,P_586)))
| ~ connect(X_587,Y_585,P_586) ),
inference(resolution,[status(thm)],[c_1949,c_200]) ).
tff(c_196,plain,
! [X_134,Y_135,P_136] :
( connect(X_134,Y_135,P_136)
| ~ once(at_the_same_time(at(X_134,P_136),at(Y_135,P_136))) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_3454,plain,
! [Y_588,X_589,P_590] :
( connect(Y_588,X_589,P_590)
| ~ connect(X_589,Y_588,P_590) ),
inference(resolution,[status(thm)],[c_3432,c_196]) ).
tff(c_3476,plain,
connect('#skF_37','#skF_36','#skF_38'),
inference(resolution,[status(thm)],[c_249,c_3454]) ).
tff(c_3497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274,c_3476]) ).
tff(c_3499,plain,
connect('#skF_37','#skF_36','#skF_38'),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_222,plain,
( ~ connect('#skF_33','#skF_34','#skF_35')
| ~ connect('#skF_37','#skF_36','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_3575,plain,
~ connect('#skF_33','#skF_34','#skF_35'),
inference(demodulation,[status(thm),theory(equality)],[c_3499,c_222]) ).
tff(c_3498,plain,
connect('#skF_34','#skF_33','#skF_35'),
inference(splitRight,[status(thm)],[c_224]) ).
tff(c_5686,plain,
! [X_940,P_941,Y_942] :
( once(at_the_same_time(at(X_940,P_941),at(Y_942,P_941)))
| ~ connect(X_940,Y_942,P_941) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_212085,plain,
! [Y_153170,P_153171,X_153172] :
( once(at_the_same_time(at(Y_153170,P_153171),at(X_153172,P_153171)))
| ~ connect(X_153172,Y_153170,P_153171) ),
inference(resolution,[status(thm)],[c_5686,c_200]) ).
tff(c_213323,plain,
! [Y_153493,X_153494,P_153495] :
( connect(Y_153493,X_153494,P_153495)
| ~ connect(X_153494,Y_153493,P_153495) ),
inference(resolution,[status(thm)],[c_212085,c_196]) ).
tff(c_213357,plain,
connect('#skF_33','#skF_34','#skF_35'),
inference(resolution,[status(thm)],[c_3498,c_213323]) ).
tff(c_213389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3575,c_213357]) ).
tff(c_213391,plain,
~ connect('#skF_36','#skF_37','#skF_38'),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_226,plain,
( ~ connect('#skF_33','#skF_34','#skF_35')
| connect('#skF_36','#skF_37','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_213421,plain,
~ connect('#skF_33','#skF_34','#skF_35'),
inference(negUnitSimplification,[status(thm)],[c_213391,c_226]) ).
tff(c_213390,plain,
connect('#skF_34','#skF_33','#skF_35'),
inference(splitRight,[status(thm)],[c_228]) ).
tff(c_215015,plain,
! [X_154137,P_154138,Y_154139] :
( once(at_the_same_time(at(X_154137,P_154138),at(Y_154139,P_154138)))
| ~ connect(X_154137,Y_154139,P_154138) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_406155,plain,
! [Y_294851,P_294852,X_294853] :
( once(at_the_same_time(at(Y_294851,P_294852),at(X_294853,P_294852)))
| ~ connect(X_294853,Y_294851,P_294852) ),
inference(resolution,[status(thm)],[c_215015,c_200]) ).
tff(c_407393,plain,
! [Y_295174,X_295175,P_295176] :
( connect(Y_295174,X_295175,P_295176)
| ~ connect(X_295175,Y_295174,P_295176) ),
inference(resolution,[status(thm)],[c_406155,c_196]) ).
tff(c_407423,plain,
connect('#skF_33','#skF_34','#skF_35'),
inference(resolution,[status(thm)],[c_213390,c_407393]) ).
tff(c_407448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_213421,c_407423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO146+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
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:34:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 36.91/19.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.91/19.93
% 36.91/19.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.01/19.96
% 37.01/19.96 Inference rules
% 37.01/19.96 ----------------------
% 37.01/19.96 #Ref : 0
% 37.01/19.96 #Sup : 68810
% 37.01/19.96 #Fact : 20
% 37.01/19.96 #Define : 0
% 37.01/19.96 #Split : 5
% 37.01/19.96 #Chain : 0
% 37.01/19.96 #Close : 0
% 37.01/19.96
% 37.01/19.96 Ordering : KBO
% 37.01/19.96
% 37.01/19.96 Simplification rules
% 37.01/19.96 ----------------------
% 37.01/19.96 #Subsume : 26374
% 37.01/19.96 #Demod : 12141
% 37.01/19.96 #Tautology : 6554
% 37.01/19.96 #SimpNegUnit : 9
% 37.01/19.96 #BackRed : 0
% 37.01/19.96
% 37.01/19.96 #Partial instantiations: 157294
% 37.01/19.96 #Strategies tried : 1
% 37.01/19.96
% 37.01/19.96 Timing (in seconds)
% 37.01/19.96 ----------------------
% 37.01/19.96 Preprocessing : 0.70
% 37.01/19.97 Parsing : 0.33
% 37.01/19.97 CNF conversion : 0.07
% 37.01/19.97 Main loop : 18.19
% 37.01/19.97 Inferencing : 4.17
% 37.01/19.97 Reduction : 5.66
% 37.01/19.97 Demodulation : 4.03
% 37.01/19.97 BG Simplification : 0.28
% 37.01/19.97 Subsumption : 7.03
% 37.01/19.97 Abstraction : 0.34
% 37.01/19.97 MUC search : 0.00
% 37.01/19.97 Cooper : 0.00
% 37.01/19.97 Total : 18.94
% 37.01/19.97 Index Insertion : 0.00
% 37.01/19.97 Index Deletion : 0.00
% 37.01/19.97 Index Matching : 0.00
% 37.01/19.97 BG Taut test : 0.00
%------------------------------------------------------------------------------