TSTP Solution File: GEO003-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO003-2 : 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 10:37:51 EDT 2023
% Result : Unsatisfiable 3.17s 1.72s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 23 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 7 >; 25 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% Number of variables : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #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(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_79,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_224,axiom,
~ between(a,b,b),
file(unknown,unknown) ).
tff(c_49,plain,
! [Y_83,X_84,W_85,V_86] : equidistant(Y_83,extension(X_84,Y_83,W_85,V_86),W_85,V_86),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_6,plain,
! [Y_10,X_9,Z_11] :
( ( Y_10 = X_9 )
| ~ equidistant(X_9,Y_10,Z_11,Z_11) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_62,plain,
! [X_93,Y_94,V_95] : ( extension(X_93,Y_94,V_95,V_95) = Y_94 ),
inference(resolution,[status(thm)],[c_49,c_6]) ).
tff(c_8,plain,
! [X_12,Y_13,W_14,V_15] : between(X_12,Y_13,extension(X_12,Y_13,W_14,V_15)),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_71,plain,
! [X_93,Y_94] : between(X_93,Y_94,Y_94),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_38,plain,
~ between(a,b,b),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_79,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO003-2 : 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 : n028.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 00:32:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.17/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/1.72
% 3.17/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/1.76
% 3.17/1.76 Inference rules
% 3.17/1.76 ----------------------
% 3.17/1.76 #Ref : 0
% 3.17/1.76 #Sup : 8
% 3.17/1.76 #Fact : 0
% 3.17/1.76 #Define : 0
% 3.17/1.76 #Split : 0
% 3.17/1.76 #Chain : 0
% 3.17/1.76 #Close : 0
% 3.17/1.76
% 3.17/1.76 Ordering : KBO
% 3.17/1.76
% 3.17/1.76 Simplification rules
% 3.17/1.76 ----------------------
% 3.17/1.76 #Subsume : 0
% 3.17/1.76 #Demod : 1
% 3.17/1.76 #Tautology : 3
% 3.17/1.76 #SimpNegUnit : 0
% 3.17/1.76 #BackRed : 1
% 3.17/1.76
% 3.17/1.76 #Partial instantiations: 0
% 3.17/1.76 #Strategies tried : 1
% 3.17/1.76
% 3.17/1.76 Timing (in seconds)
% 3.17/1.76 ----------------------
% 3.17/1.76 Preprocessing : 0.49
% 3.17/1.76 Parsing : 0.28
% 3.17/1.76 CNF conversion : 0.03
% 3.17/1.76 Main loop : 0.19
% 3.17/1.76 Inferencing : 0.07
% 3.17/1.76 Reduction : 0.05
% 3.17/1.76 Demodulation : 0.04
% 3.17/1.76 BG Simplification : 0.02
% 3.17/1.76 Subsumption : 0.05
% 3.17/1.76 Abstraction : 0.01
% 3.17/1.76 MUC search : 0.00
% 3.17/1.76 Cooper : 0.00
% 3.17/1.77 Total : 0.74
% 3.17/1.77 Index Insertion : 0.00
% 3.17/1.77 Index Deletion : 0.00
% 3.17/1.77 Index Matching : 0.00
% 3.17/1.77 BG Taut test : 0.00
%------------------------------------------------------------------------------