TSTP Solution File: GEO046-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO046-3 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 10:38:01 EDT 2023
% Result : Unsatisfiable 6.24s 2.49s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 62 ( 28 unt; 15 typ; 0 def)
% Number of atoms : 79 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 54 (; 54 !; 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_456,axiom,
between(u,v,x),
file(unknown,unknown) ).
tff(f_383,axiom,
! [U,V] : between(U,U,V),
file(unknown,unknown) ).
tff(f_368,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_457,axiom,
between(v,w,x),
file(unknown,unknown) ).
tff(f_351,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| ( U = V )
| ( W = extension(U,V,V,W) ) ),
file(unknown,unknown) ).
tff(f_381,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(f_399,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| ~ between(U,W,V)
| ( V = W ) ),
file(unknown,unknown) ).
tff(f_445,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(V,W,X)
| between(U,W,X)
| ( V = W ) ),
file(unknown,unknown) ).
tff(f_459,axiom,
~ between(u,w,x),
file(unknown,unknown) ).
tff(f_435,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(V,W,X) ),
file(unknown,unknown) ).
tff(f_391,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| ~ between(V,U,W)
| ( U = V ) ),
file(unknown,unknown) ).
tff(c_112,plain,
between(u,v,x),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_94,plain,
! [U_163,V_164] : between(U_163,U_163,V_164),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_88,plain,
! [U_154,V_155] : between(U_154,V_155,V_155),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_114,plain,
between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_457]) ).
tff(c_1206,plain,
! [U_324,V_325,W_326] :
( ( extension(U_324,V_325,V_325,W_326) = W_326 )
| ( V_325 = U_324 )
| ~ between(U_324,V_325,W_326) ),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_1238,plain,
( ( extension(v,w,w,x) = x )
| ( w = v ) ),
inference(resolution,[status(thm)],[c_114,c_1206]) ).
tff(c_1301,plain,
w = v,
inference(splitLeft,[status(thm)],[c_1238]) ).
tff(c_276,plain,
! [W_230,V_231,U_232] :
( between(W_230,V_231,U_232)
| ~ between(U_232,V_231,W_230) ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_301,plain,
between(x,w,v),
inference(resolution,[status(thm)],[c_114,c_276]) ).
tff(c_602,plain,
! [W_276,V_277,U_278] :
( ( W_276 = V_277 )
| ~ between(U_278,W_276,V_277)
| ~ between(U_278,V_277,W_276) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_624,plain,
( ( w = v )
| ~ between(x,v,w) ),
inference(resolution,[status(thm)],[c_301,c_602]) ).
tff(c_731,plain,
~ between(x,v,w),
inference(splitLeft,[status(thm)],[c_624]) ).
tff(c_1335,plain,
~ between(x,v,v),
inference(demodulation,[status(thm),theory(equality)],[c_1301,c_731]) ).
tff(c_1343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88,c_1335]) ).
tff(c_1345,plain,
w != v,
inference(splitRight,[status(thm)],[c_1238]) ).
tff(c_1603,plain,
! [W_345,V_346,U_347,X_348] :
( ( W_345 = V_346 )
| between(U_347,W_345,X_348)
| ~ between(V_346,W_345,X_348)
| ~ between(U_347,V_346,W_345) ),
inference(cnfTransformation,[status(thm)],[f_445]) ).
tff(c_1625,plain,
! [U_347] :
( ( w = v )
| between(U_347,w,x)
| ~ between(U_347,v,w) ),
inference(resolution,[status(thm)],[c_114,c_1603]) ).
tff(c_1691,plain,
! [U_350] :
( between(U_350,w,x)
| ~ between(U_350,v,w) ),
inference(negUnitSimplification,[status(thm)],[c_1345,c_1625]) ).
tff(c_116,plain,
~ between(u,w,x),
inference(cnfTransformation,[status(thm)],[f_459]) ).
tff(c_1739,plain,
~ between(u,v,w),
inference(resolution,[status(thm)],[c_1691,c_116]) ).
tff(c_296,plain,
between(x,v,u),
inference(resolution,[status(thm)],[c_112,c_276]) ).
tff(c_1390,plain,
! [V_331,W_332,X_333,U_334] :
( between(V_331,W_332,X_333)
| ~ between(U_334,W_332,X_333)
| ~ between(U_334,V_331,W_332) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_2039,plain,
! [V_369] :
( between(V_369,v,u)
| ~ between(x,V_369,v) ),
inference(resolution,[status(thm)],[c_296,c_1390]) ).
tff(c_2048,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c_301,c_2039]) ).
tff(c_92,plain,
! [W_162,V_161,U_160] :
( between(W_162,V_161,U_160)
| ~ between(U_160,V_161,W_162) ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_2066,plain,
between(u,v,w),
inference(resolution,[status(thm)],[c_2048,c_92]) ).
tff(c_2085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1739,c_2066]) ).
tff(c_2086,plain,
w = v,
inference(splitRight,[status(thm)],[c_624]) ).
tff(c_638,plain,
! [V_279,U_280,W_281] :
( ( V_279 = U_280 )
| ~ between(V_279,U_280,W_281)
| ~ between(U_280,V_279,W_281) ),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_671,plain,
( ( w = v )
| ~ between(w,v,x) ),
inference(resolution,[status(thm)],[c_114,c_638]) ).
tff(c_673,plain,
~ between(w,v,x),
inference(splitLeft,[status(thm)],[c_671]) ).
tff(c_2088,plain,
~ between(v,v,x),
inference(demodulation,[status(thm),theory(equality)],[c_2086,c_673]) ).
tff(c_2095,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_2088]) ).
tff(c_2096,plain,
w = v,
inference(splitRight,[status(thm)],[c_671]) ).
tff(c_2157,plain,
~ between(u,v,x),
inference(demodulation,[status(thm),theory(equality)],[c_2096,c_116]) ).
tff(c_2162,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112,c_2157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO046-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:08:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.24/2.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.24/2.50
% 6.24/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.24/2.53
% 6.24/2.53 Inference rules
% 6.24/2.53 ----------------------
% 6.24/2.53 #Ref : 0
% 6.24/2.53 #Sup : 484
% 6.24/2.53 #Fact : 0
% 6.24/2.53 #Define : 0
% 6.24/2.53 #Split : 12
% 6.24/2.53 #Chain : 0
% 6.24/2.53 #Close : 0
% 6.24/2.53
% 6.24/2.53 Ordering : KBO
% 6.24/2.53
% 6.24/2.53 Simplification rules
% 6.24/2.53 ----------------------
% 6.24/2.53 #Subsume : 20
% 6.24/2.53 #Demod : 352
% 6.24/2.53 #Tautology : 299
% 6.24/2.53 #SimpNegUnit : 14
% 6.24/2.53 #BackRed : 68
% 6.24/2.53
% 6.24/2.53 #Partial instantiations: 0
% 6.24/2.53 #Strategies tried : 1
% 6.24/2.53
% 6.24/2.53 Timing (in seconds)
% 6.24/2.53 ----------------------
% 6.24/2.53 Preprocessing : 0.67
% 6.24/2.53 Parsing : 0.30
% 6.24/2.53 CNF conversion : 0.05
% 6.24/2.53 Main loop : 0.71
% 6.24/2.53 Inferencing : 0.23
% 6.24/2.53 Reduction : 0.22
% 6.24/2.53 Demodulation : 0.16
% 6.24/2.53 BG Simplification : 0.04
% 6.24/2.53 Subsumption : 0.18
% 6.24/2.53 Abstraction : 0.03
% 6.24/2.54 MUC search : 0.00
% 6.24/2.54 Cooper : 0.00
% 6.24/2.54 Total : 1.43
% 6.24/2.54 Index Insertion : 0.00
% 6.24/2.54 Index Deletion : 0.00
% 6.24/2.54 Index Matching : 0.00
% 6.24/2.54 BG Taut test : 0.00
%------------------------------------------------------------------------------