TSTP Solution File: GEO044-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO044-3 : 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 : n004.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 11.59s 3.94s
% Output : CNFRefutation 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 50 ( 18 unt; 15 typ; 0 def)
% Number of atoms : 67 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 64 ( 32 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 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 : 76 (; 76 !; 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_441,axiom,
~ between(u,w,x),
file(unknown,unknown) ).
tff(f_437,axiom,
between(v,w,x),
file(unknown,unknown) ).
tff(f_439,axiom,
v != w,
file(unknown,unknown) ).
tff(f_299,axiom,
! [W,U,X,Y,V] :
( ( Y != extension(U,V,W,X) )
| between(U,V,Y) ),
file(unknown,unknown) ).
tff(f_381,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(f_436,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_117,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_107,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_126,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_78,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_344,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,V,X)
| ~ equidistant(V,W,V,X)
| ( U = V )
| ( W = X ) ),
file(unknown,unknown) ).
tff(c_114,plain,
~ between(u,w,x),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_110,plain,
between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_112,plain,
w != v,
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_60,plain,
! [U_114,V_117,W_113,X_115] : between(U_114,V_117,extension(U_114,V_117,W_113,X_115)),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_274,plain,
! [W_222,V_223,U_224] :
( between(W_222,V_223,U_224)
| ~ between(U_224,V_223,W_222) ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_289,plain,
! [U_114,V_117,W_113,X_115] : between(extension(U_114,V_117,W_113,X_115),V_117,U_114),
inference(resolution,[status(thm)],[c_60,c_274]) ).
tff(c_108,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_299,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c_108,c_274]) ).
tff(c_1950,plain,
! [V_373,W_372,Y_369,X_371,U_370] :
( between(V_373,inner_pasch(U_370,V_373,W_372,X_371,Y_369),Y_369)
| ~ between(Y_369,X_371,W_372)
| ~ between(U_370,V_373,W_372) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_7610,plain,
! [U_638,Y_639,W_640,X_641] :
( ( inner_pasch(U_638,Y_639,W_640,X_641,Y_639) = Y_639 )
| ~ between(Y_639,X_641,W_640)
| ~ between(U_638,Y_639,W_640) ),
inference(resolution,[status(thm)],[c_1950,c_14]) ).
tff(c_12940,plain,
! [U_741] :
( ( inner_pasch(U_741,w,u,v,w) = w )
| ~ between(U_741,w,u) ),
inference(resolution,[status(thm)],[c_299,c_7610]) ).
tff(c_14305,plain,
! [W_767,X_768] : ( inner_pasch(extension(u,w,W_767,X_768),w,u,v,w) = w ),
inference(resolution,[status(thm)],[c_289,c_12940]) ).
tff(c_18,plain,
! [V_39,W_35,U_36,X_37,Y_38] :
( between(X_37,inner_pasch(U_36,V_39,W_35,X_37,Y_38),U_36)
| ~ between(Y_38,X_37,W_35)
| ~ between(U_36,V_39,W_35) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_14322,plain,
! [W_767,X_768] :
( between(v,w,extension(u,w,W_767,X_768))
| ~ between(w,v,u)
| ~ between(extension(u,w,W_767,X_768),w,u) ),
inference(superposition,[status(thm),theory(equality)],[c_14305,c_18]) ).
tff(c_14612,plain,
! [W_775,X_776] : between(v,w,extension(u,w,W_775,X_776)),
inference(demodulation,[status(thm),theory(equality)],[c_289,c_299,c_14322]) ).
tff(c_10,plain,
! [Y_16,X_17,W_18,V_19] : equidistant(Y_16,extension(X_17,Y_16,W_18,V_19),W_18,V_19),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2140,plain,
! [X_384,W_385,V_386,U_387] :
( ( X_384 = W_385 )
| ( V_386 = U_387 )
| ~ equidistant(V_386,W_385,V_386,X_384)
| ~ between(U_387,V_386,X_384)
| ~ between(U_387,V_386,W_385) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_2179,plain,
! [X_17,W_18,V_19,U_387] :
( ( extension(X_17,W_18,W_18,V_19) = V_19 )
| ( W_18 = U_387 )
| ~ between(U_387,W_18,V_19)
| ~ between(U_387,W_18,extension(X_17,W_18,W_18,V_19)) ),
inference(resolution,[status(thm)],[c_10,c_2140]) ).
tff(c_14616,plain,
! [X_776] :
( ( extension(u,w,w,X_776) = X_776 )
| ( w = v )
| ~ between(v,w,X_776) ),
inference(resolution,[status(thm)],[c_14612,c_2179]) ).
tff(c_14795,plain,
! [X_781] :
( ( extension(u,w,w,X_781) = X_781 )
| ~ between(v,w,X_781) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_14616]) ).
tff(c_14848,plain,
extension(u,w,w,x) = x,
inference(resolution,[status(thm)],[c_110,c_14795]) ).
tff(c_14966,plain,
between(u,w,x),
inference(superposition,[status(thm),theory(equality)],[c_14848,c_60]) ).
tff(c_14999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_14966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:17:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 11.59/3.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.59/3.95
% 11.59/3.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.59/3.98
% 11.59/3.98 Inference rules
% 11.59/3.98 ----------------------
% 11.59/3.98 #Ref : 0
% 11.59/3.98 #Sup : 3739
% 11.59/3.98 #Fact : 0
% 11.59/3.98 #Define : 0
% 11.59/3.98 #Split : 16
% 11.59/3.98 #Chain : 0
% 11.59/3.98 #Close : 0
% 11.59/3.98
% 11.59/3.98 Ordering : KBO
% 11.59/3.98
% 11.59/3.98 Simplification rules
% 11.59/3.98 ----------------------
% 11.59/3.98 #Subsume : 231
% 11.59/3.98 #Demod : 2652
% 11.59/3.98 #Tautology : 1988
% 11.59/3.98 #SimpNegUnit : 102
% 11.59/3.98 #BackRed : 29
% 11.59/3.98
% 11.59/3.98 #Partial instantiations: 0
% 11.59/3.98 #Strategies tried : 1
% 11.59/3.98
% 11.59/3.98 Timing (in seconds)
% 11.59/3.98 ----------------------
% 11.71/3.98 Preprocessing : 0.60
% 11.71/3.98 Parsing : 0.27
% 11.71/3.98 CNF conversion : 0.04
% 11.71/3.98 Main loop : 2.32
% 11.71/3.98 Inferencing : 0.64
% 11.71/3.98 Reduction : 0.87
% 11.71/3.98 Demodulation : 0.68
% 11.71/3.98 BG Simplification : 0.07
% 11.71/3.98 Subsumption : 0.61
% 11.71/3.98 Abstraction : 0.07
% 11.71/3.98 MUC search : 0.00
% 11.71/3.98 Cooper : 0.00
% 11.71/3.98 Total : 2.97
% 11.71/3.98 Index Insertion : 0.00
% 11.71/3.98 Index Deletion : 0.00
% 11.71/3.98 Index Matching : 0.00
% 11.71/3.98 BG Taut test : 0.00
%------------------------------------------------------------------------------