TSTP Solution File: GEO002-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO002-3 : 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 : n022.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 10:37:50 EDT 2023
% Result : Unsatisfiable 3.90s 1.89s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 21 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% Number of variables : 12 (; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > b > a
%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(a,type,
a: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $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_369,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_382,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(f_384,axiom,
~ between(a,a,b),
file(unknown,unknown) ).
tff(c_88,plain,
! [U_154,V_155] : between(U_154,V_155,V_155),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_238,plain,
! [W_194,V_195,U_196] :
( between(W_194,V_195,U_196)
| ~ between(U_196,V_195,W_194) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_249,plain,
! [V_155,U_154] : between(V_155,V_155,U_154),
inference(resolution,[status(thm)],[c_88,c_238]) ).
tff(c_94,plain,
~ between(a,a,b),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_249,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n022.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 00:38:48 EDT 2023
% 0.20/0.35 % CPUTime :
% 3.90/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.91/1.89
% 3.91/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.96/1.92
% 3.96/1.92 Inference rules
% 3.96/1.92 ----------------------
% 3.96/1.92 #Ref : 0
% 3.96/1.92 #Sup : 31
% 3.96/1.92 #Fact : 0
% 3.96/1.92 #Define : 0
% 3.96/1.92 #Split : 0
% 3.96/1.92 #Chain : 0
% 3.96/1.92 #Close : 0
% 3.96/1.92
% 3.96/1.92 Ordering : KBO
% 3.96/1.92
% 3.96/1.92 Simplification rules
% 3.96/1.92 ----------------------
% 3.96/1.92 #Subsume : 0
% 3.96/1.92 #Demod : 19
% 3.96/1.92 #Tautology : 31
% 3.96/1.92 #SimpNegUnit : 0
% 3.96/1.92 #BackRed : 1
% 3.96/1.92
% 3.96/1.92 #Partial instantiations: 0
% 3.96/1.92 #Strategies tried : 1
% 3.96/1.92
% 3.96/1.92 Timing (in seconds)
% 3.96/1.92 ----------------------
% 3.96/1.92 Preprocessing : 0.60
% 3.96/1.92 Parsing : 0.28
% 3.96/1.92 CNF conversion : 0.04
% 3.96/1.92 Main loop : 0.27
% 3.96/1.92 Inferencing : 0.07
% 3.96/1.92 Reduction : 0.09
% 3.96/1.92 Demodulation : 0.07
% 3.96/1.92 BG Simplification : 0.02
% 3.96/1.92 Subsumption : 0.07
% 3.96/1.92 Abstraction : 0.01
% 3.96/1.92 MUC search : 0.00
% 3.96/1.92 Cooper : 0.00
% 3.96/1.92 Total : 0.91
% 3.96/1.92 Index Insertion : 0.00
% 3.96/1.92 Index Deletion : 0.00
% 3.96/1.92 Index Matching : 0.00
% 3.96/1.92 BG Taut test : 0.00
%------------------------------------------------------------------------------