TSTP Solution File: GEO054-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO054-2 : 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 : n028.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 10:38:02 EDT 2023
% Result : Unsatisfiable 3.39s 1.77s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 21 ( 8 unt; 13 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 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 : 11 ( 11 usr; 5 con; 0-6 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > 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(lower_dimension_point_2,type,
lower_dimension_point_2: $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_245,axiom,
! [U,V] : ( reflection(U,V) = extension(U,V,U,V) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_249,axiom,
~ between(u,v,reflection(u,v)),
file(unknown,unknown) ).
tff(c_38,plain,
! [U_72,V_73] : ( extension(U_72,V_73,U_72,V_73) = reflection(U_72,V_73) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_59,plain,
! [X_83,Y_84,W_85,V_86] : between(X_83,Y_84,extension(X_83,Y_84,W_85,V_86)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_62,plain,
! [U_72,V_73] : between(U_72,V_73,reflection(U_72,V_73)),
inference(superposition,[status(thm),theory(equality)],[c_38,c_59]) ).
tff(c_40,plain,
~ between(u,v,reflection(u,v)),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_74,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO054-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 4 00:28:09 EDT 2023
% 0.17/0.34 % CPUTime :
% 3.39/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.77
% 3.39/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/1.80
% 3.39/1.80 Inference rules
% 3.39/1.80 ----------------------
% 3.39/1.80 #Ref : 0
% 3.39/1.80 #Sup : 6
% 3.39/1.80 #Fact : 0
% 3.39/1.80 #Define : 0
% 3.39/1.80 #Split : 0
% 3.39/1.80 #Chain : 0
% 3.39/1.80 #Close : 0
% 3.39/1.80
% 3.39/1.80 Ordering : KBO
% 3.39/1.80
% 3.39/1.80 Simplification rules
% 3.39/1.80 ----------------------
% 3.39/1.80 #Subsume : 0
% 3.39/1.80 #Demod : 1
% 3.39/1.80 #Tautology : 3
% 3.39/1.80 #SimpNegUnit : 0
% 3.39/1.80 #BackRed : 1
% 3.39/1.80
% 3.39/1.80 #Partial instantiations: 0
% 3.39/1.80 #Strategies tried : 1
% 3.39/1.80
% 3.39/1.80 Timing (in seconds)
% 3.39/1.80 ----------------------
% 3.49/1.80 Preprocessing : 0.55
% 3.49/1.80 Parsing : 0.30
% 3.49/1.80 CNF conversion : 0.03
% 3.49/1.80 Main loop : 0.19
% 3.49/1.80 Inferencing : 0.06
% 3.49/1.80 Reduction : 0.05
% 3.49/1.80 Demodulation : 0.04
% 3.49/1.80 BG Simplification : 0.02
% 3.49/1.80 Subsumption : 0.04
% 3.49/1.80 Abstraction : 0.01
% 3.49/1.80 MUC search : 0.00
% 3.49/1.80 Cooper : 0.00
% 3.49/1.80 Total : 0.78
% 3.49/1.80 Index Insertion : 0.00
% 3.49/1.80 Index Deletion : 0.00
% 3.49/1.80 Index Matching : 0.00
% 3.49/1.80 BG Taut test : 0.00
%------------------------------------------------------------------------------