TSTP Solution File: GEO039-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 10:38:00 EDT 2023
% Result : Unsatisfiable 3.78s 1.85s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 30 ( 13 unt; 15 typ; 0 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > x > w > v > u > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(u,type,
u: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(v,type,
v: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_368,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_370,axiom,
u = x,
file(unknown,unknown) ).
tff(f_369,axiom,
between(u,w,x),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_372,axiom,
~ between(v,w,x),
file(unknown,unknown) ).
tff(c_88,plain,
! [U_154,V_155] : between(U_154,V_155,V_155),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_92,plain,
x = u,
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_90,plain,
between(u,w,x),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_96,plain,
between(u,w,u),
inference(demodulation,[status(thm),theory(equality)],[c_92,c_90]) ).
tff(c_133,plain,
! [Y_170,X_171] :
( ( Y_170 = X_171 )
| ~ between(X_171,Y_170,X_171) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_141,plain,
w = u,
inference(resolution,[status(thm)],[c_96,c_133]) ).
tff(c_94,plain,
~ between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_95,plain,
~ between(v,w,u),
inference(demodulation,[status(thm),theory(equality)],[c_92,c_94]) ).
tff(c_145,plain,
~ between(v,u,u),
inference(demodulation,[status(thm),theory(equality)],[c_141,c_95]) ).
tff(c_149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.14 % Problem : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % 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
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 4 00:32:31 EDT 2023
% 0.16/0.37 % CPUTime :
% 3.78/1.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.85
% 3.78/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.78/1.88
% 3.78/1.88 Inference rules
% 3.78/1.88 ----------------------
% 3.78/1.88 #Ref : 0
% 3.78/1.88 #Sup : 9
% 3.78/1.88 #Fact : 0
% 3.78/1.88 #Define : 0
% 3.78/1.88 #Split : 0
% 3.78/1.88 #Chain : 0
% 3.78/1.88 #Close : 0
% 3.78/1.88
% 3.78/1.88 Ordering : KBO
% 3.78/1.88
% 3.78/1.88 Simplification rules
% 3.78/1.88 ----------------------
% 3.78/1.88 #Subsume : 0
% 3.78/1.88 #Demod : 12
% 3.78/1.88 #Tautology : 12
% 3.78/1.88 #SimpNegUnit : 0
% 3.78/1.88 #BackRed : 2
% 3.78/1.88
% 3.78/1.88 #Partial instantiations: 0
% 3.78/1.88 #Strategies tried : 1
% 3.78/1.88
% 3.78/1.88 Timing (in seconds)
% 3.78/1.88 ----------------------
% 3.78/1.88 Preprocessing : 0.59
% 3.78/1.88 Parsing : 0.27
% 3.78/1.88 CNF conversion : 0.04
% 3.78/1.88 Main loop : 0.22
% 3.78/1.88 Inferencing : 0.05
% 3.78/1.88 Reduction : 0.08
% 3.78/1.88 Demodulation : 0.06
% 3.78/1.88 BG Simplification : 0.02
% 3.78/1.88 Subsumption : 0.06
% 3.78/1.88 Abstraction : 0.01
% 3.78/1.88 MUC search : 0.00
% 3.78/1.88 Cooper : 0.00
% 3.78/1.88 Total : 0.85
% 3.78/1.88 Index Insertion : 0.00
% 3.78/1.88 Index Deletion : 0.00
% 3.78/1.88 Index Matching : 0.00
% 3.78/1.88 BG Taut test : 0.00
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