TSTP Solution File: GEO147+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO147+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 : n010.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 7.53s 2.70s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 60
% Syntax : Number of formulae : 81 ( 11 unt; 55 typ; 0 def)
% Number of atoms : 43 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 11 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 3 con; 0-5 aty)
% Number of variables : 35 (; 34 !; 1 ?; 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_20 > #skF_8 > #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(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(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_415,axiom,
! [X] :
? [O] : ( trajectory_of(X) = O ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',trajectories_are_oriented_curves) ).
tff(f_412,axiom,
! [X,P] :
( once(at(X,P))
<=> incident_o(P,trajectory_of(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',at_on_trajectory) ).
tff(f_439,negated_conjecture,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(X))
& incident_o(P,trajectory_of(Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13) ).
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_408,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
=> ( once(A)
& once(B) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).
tff(c_216,plain,
! [X_147] : ( trajectory_of(X_147) = '#skF_31'(X_147) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_212,plain,
! [P_146,X_145] :
( incident_o(P_146,trajectory_of(X_145))
| ~ once(at(X_145,P_146)) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_1841,plain,
! [P_526,X_527] :
( incident_o(P_526,'#skF_31'(X_527))
| ~ once(at(X_527,P_526)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_212]) ).
tff(c_465,plain,
! [P_242,X_243] :
( incident_o(P_242,'#skF_31'(X_243))
| ~ once(at(X_243,P_242)) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_212]) ).
tff(c_222,plain,
( ~ incident_o('#skF_33',trajectory_of('#skF_35'))
| ~ incident_o('#skF_33',trajectory_of('#skF_34')) ),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_225,plain,
( ~ incident_o('#skF_33','#skF_31'('#skF_35'))
| ~ incident_o('#skF_33','#skF_31'('#skF_34')) ),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_216,c_222]) ).
tff(c_245,plain,
~ incident_o('#skF_33','#skF_31'('#skF_34')),
inference(splitLeft,[status(thm)],[c_225]) ).
tff(c_473,plain,
~ once(at('#skF_34','#skF_33')),
inference(resolution,[status(thm)],[c_465,c_245]) ).
tff(c_224,plain,
connect('#skF_34','#skF_35','#skF_33'),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_1557,plain,
! [X_456,P_457,Y_458] :
( once(at_the_same_time(at(X_456,P_457),at(Y_458,P_457)))
| ~ connect(X_456,Y_458,P_457) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_210,plain,
! [A_143,B_144] :
( once(A_143)
| ~ once(at_the_same_time(A_143,B_144)) ),
inference(cnfTransformation,[status(thm)],[f_408]) ).
tff(c_1626,plain,
! [X_466,P_467,Y_468] :
( once(at(X_466,P_467))
| ~ connect(X_466,Y_468,P_467) ),
inference(resolution,[status(thm)],[c_1557,c_210]) ).
tff(c_1646,plain,
once(at('#skF_34','#skF_33')),
inference(resolution,[status(thm)],[c_224,c_1626]) ).
tff(c_1665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_473,c_1646]) ).
tff(c_1666,plain,
~ incident_o('#skF_33','#skF_31'('#skF_35')),
inference(splitRight,[status(thm)],[c_225]) ).
tff(c_1845,plain,
~ once(at('#skF_35','#skF_33')),
inference(resolution,[status(thm)],[c_1841,c_1666]) ).
tff(c_3718,plain,
! [X_794,P_795,Y_796] :
( once(at_the_same_time(at(X_794,P_795),at(Y_796,P_795)))
| ~ connect(X_794,Y_796,P_795) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_208,plain,
! [B_144,A_143] :
( once(B_144)
| ~ once(at_the_same_time(A_143,B_144)) ),
inference(cnfTransformation,[status(thm)],[f_408]) ).
tff(c_3736,plain,
! [Y_797,P_798,X_799] :
( once(at(Y_797,P_798))
| ~ connect(X_799,Y_797,P_798) ),
inference(resolution,[status(thm)],[c_3718,c_208]) ).
tff(c_3738,plain,
once(at('#skF_35','#skF_33')),
inference(resolution,[status(thm)],[c_224,c_3736]) ).
tff(c_3742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1845,c_3738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % 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 : n010.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 00:22:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.53/2.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.53/2.70
% 7.53/2.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.70/2.73
% 7.70/2.73 Inference rules
% 7.70/2.73 ----------------------
% 7.70/2.73 #Ref : 0
% 7.70/2.73 #Sup : 747
% 7.70/2.73 #Fact : 0
% 7.70/2.73 #Define : 0
% 7.70/2.73 #Split : 2
% 7.70/2.73 #Chain : 0
% 7.70/2.73 #Close : 0
% 7.70/2.73
% 7.70/2.73 Ordering : KBO
% 7.70/2.73
% 7.70/2.73 Simplification rules
% 7.70/2.73 ----------------------
% 7.70/2.73 #Subsume : 211
% 7.70/2.73 #Demod : 36
% 7.70/2.73 #Tautology : 87
% 7.70/2.73 #SimpNegUnit : 4
% 7.70/2.73 #BackRed : 0
% 7.70/2.73
% 7.70/2.73 #Partial instantiations: 0
% 7.70/2.73 #Strategies tried : 1
% 7.70/2.73
% 7.70/2.73 Timing (in seconds)
% 7.70/2.73 ----------------------
% 7.70/2.74 Preprocessing : 0.69
% 7.70/2.74 Parsing : 0.33
% 7.70/2.74 CNF conversion : 0.07
% 7.70/2.74 Main loop : 0.98
% 7.70/2.74 Inferencing : 0.38
% 7.70/2.74 Reduction : 0.25
% 7.70/2.74 Demodulation : 0.17
% 7.70/2.74 BG Simplification : 0.05
% 7.70/2.74 Subsumption : 0.22
% 7.70/2.74 Abstraction : 0.04
% 7.70/2.74 MUC search : 0.00
% 7.70/2.74 Cooper : 0.00
% 7.70/2.74 Total : 1.72
% 7.70/2.74 Index Insertion : 0.00
% 7.70/2.74 Index Deletion : 0.00
% 7.70/2.74 Index Matching : 0.00
% 7.70/2.74 BG Taut test : 0.00
%------------------------------------------------------------------------------