TSTP Solution File: GEO002-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO002-2 : 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 : n017.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 4.61s 2.16s
% Output : CNFRefutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 34 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 64 (; 64 !; 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_127,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_118,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file(unknown,unknown) ).
tff(f_224,axiom,
~ between(a,a,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_118,plain,
! [Y_109,W_110,V_106,U_108,X_107] :
( between(X_107,inner_pasch(U_108,V_106,W_110,X_107,Y_109),U_108)
| ~ between(Y_109,X_107,W_110)
| ~ between(U_108,V_106,W_110) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_1265,plain,
! [U_322,V_323,W_324,Y_325] :
( ( inner_pasch(U_322,V_323,W_324,U_322,Y_325) = U_322 )
| ~ between(Y_325,U_322,W_324)
| ~ between(U_322,V_323,W_324) ),
inference(resolution,[status(thm)],[c_118,c_14]) ).
tff(c_1287,plain,
! [Y_326,V_327,X_328] :
( ( inner_pasch(Y_326,V_327,Y_326,Y_326,X_328) = Y_326 )
| ~ between(Y_326,V_327,Y_326) ),
inference(resolution,[status(thm)],[c_71,c_1265]) ).
tff(c_1300,plain,
! [Y_329,X_330] : ( inner_pasch(Y_329,Y_329,Y_329,Y_329,X_330) = Y_329 ),
inference(resolution,[status(thm)],[c_71,c_1287]) ).
tff(c_16,plain,
! [U_31,X_32,Y_33,W_30,V_34] :
( between(V_34,inner_pasch(U_31,V_34,W_30,X_32,Y_33),Y_33)
| ~ between(Y_33,X_32,W_30)
| ~ between(U_31,V_34,W_30) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_1306,plain,
! [Y_329,X_330] :
( between(Y_329,Y_329,X_330)
| ~ between(X_330,Y_329,Y_329)
| ~ between(Y_329,Y_329,Y_329) ),
inference(superposition,[status(thm),theory(equality)],[c_1300,c_16]) ).
tff(c_1315,plain,
! [Y_329,X_330] : between(Y_329,Y_329,X_330),
inference(demodulation,[status(thm),theory(equality)],[c_71,c_71,c_1306]) ).
tff(c_38,plain,
~ between(a,a,b),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_1321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1315,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO002-2 : 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 : n017.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 00:00:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.61/2.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.61/2.17
% 4.61/2.17 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.61/2.20
% 4.61/2.20 Inference rules
% 4.61/2.20 ----------------------
% 4.61/2.20 #Ref : 0
% 4.61/2.20 #Sup : 292
% 4.61/2.20 #Fact : 0
% 4.61/2.20 #Define : 0
% 4.61/2.20 #Split : 0
% 4.61/2.20 #Chain : 0
% 4.61/2.20 #Close : 0
% 4.61/2.20
% 4.61/2.20 Ordering : KBO
% 4.61/2.20
% 4.61/2.20 Simplification rules
% 4.61/2.20 ----------------------
% 4.61/2.20 #Subsume : 5
% 4.61/2.20 #Demod : 244
% 4.61/2.20 #Tautology : 145
% 4.61/2.20 #SimpNegUnit : 0
% 4.61/2.20 #BackRed : 1
% 4.61/2.20
% 4.61/2.20 #Partial instantiations: 0
% 4.61/2.20 #Strategies tried : 1
% 4.61/2.20
% 4.61/2.20 Timing (in seconds)
% 4.61/2.20 ----------------------
% 4.61/2.20 Preprocessing : 0.50
% 4.61/2.20 Parsing : 0.29
% 4.61/2.20 CNF conversion : 0.03
% 4.61/2.20 Main loop : 0.62
% 4.61/2.20 Inferencing : 0.24
% 4.61/2.20 Reduction : 0.17
% 4.61/2.20 Demodulation : 0.13
% 4.61/2.20 BG Simplification : 0.03
% 4.61/2.20 Subsumption : 0.14
% 4.61/2.20 Abstraction : 0.03
% 4.61/2.20 MUC search : 0.00
% 4.61/2.20 Cooper : 0.00
% 4.61/2.20 Total : 1.17
% 4.61/2.20 Index Insertion : 0.00
% 4.61/2.20 Index Deletion : 0.00
% 4.61/2.20 Index Matching : 0.00
% 4.61/2.20 BG Taut test : 0.00
%------------------------------------------------------------------------------