TSTP Solution File: GEO048-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO048-2 : 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/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 : n013.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 5.62s 2.51s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 57 ( 23 unt; 16 typ; 0 def)
% Number of atoms : 69 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 35 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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 : 14 ( 14 usr; 9 con; 0-6 aty)
% Number of variables : 73 (; 73 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > x > w > v1 > v > u1 > 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(u1,type,
u1: $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(v1,type,
v1: $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_224,axiom,
between(u,x,u1),
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_228,axiom,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file(unknown,unknown) ).
tff(f_223,axiom,
between(u1,v1,w),
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_71,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
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_222,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(c_42,plain,
between(u,x,u1),
inference(cnfTransformation,[status(thm)],[f_224]) ).
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_212,plain,
! [Y_134,X_132,U_133,W_135,V_131] :
( between(X_132,inner_pasch(U_133,V_131,W_135,X_132,Y_134),U_133)
| ~ between(Y_134,X_132,W_135)
| ~ between(U_133,V_131,W_135) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_46,plain,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_220,plain,
( ~ between(w,v,u)
| ~ between(v1,inner_pasch(u,x,u1,v1,w),u) ),
inference(resolution,[status(thm)],[c_212,c_46]) ).
tff(c_319,plain,
~ between(v1,inner_pasch(u,x,u1,v1,w),u),
inference(splitLeft,[status(thm)],[c_220]) ).
tff(c_322,plain,
( ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(resolution,[status(thm)],[c_18,c_319]) ).
tff(c_325,plain,
~ between(w,v1,u1),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_322]) ).
tff(c_40,plain,
between(u1,v1,w),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_57,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_78]) ).
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_71]) ).
tff(c_63,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_57,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_75]) ).
tff(c_72,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_63,c_8]) ).
tff(c_126,plain,
! [X_108,W_109,Y_106,U_107,V_110] :
( between(V_110,inner_pasch(U_107,V_110,W_109,X_108,Y_106),Y_106)
| ~ between(Y_106,X_108,W_109)
| ~ between(U_107,V_110,W_109) ),
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_950,plain,
! [U_294,Y_295,W_296,X_297] :
( ( inner_pasch(U_294,Y_295,W_296,X_297,Y_295) = Y_295 )
| ~ between(Y_295,X_297,W_296)
| ~ between(U_294,Y_295,W_296) ),
inference(resolution,[status(thm)],[c_126,c_14]) ).
tff(c_1014,plain,
! [U_307,X_308,Y_309] :
( ( inner_pasch(U_307,X_308,Y_309,Y_309,X_308) = X_308 )
| ~ between(U_307,X_308,Y_309) ),
inference(resolution,[status(thm)],[c_72,c_950]) ).
tff(c_1043,plain,
inner_pasch(u1,v1,w,w,v1) = v1,
inference(resolution,[status(thm)],[c_40,c_1014]) ).
tff(c_1158,plain,
( between(w,v1,u1)
| ~ between(v1,w,w)
| ~ between(u1,v1,w) ),
inference(superposition,[status(thm),theory(equality)],[c_1043,c_18]) ).
tff(c_1165,plain,
between(w,v1,u1),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_72,c_1158]) ).
tff(c_1167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325,c_1165]) ).
tff(c_1168,plain,
~ between(w,v,u),
inference(splitRight,[status(thm)],[c_220]) ).
tff(c_38,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_2219,plain,
! [U_488,V_489,W_490,Y_491] :
( ( inner_pasch(U_488,V_489,W_490,U_488,Y_491) = U_488 )
| ~ between(Y_491,U_488,W_490)
| ~ between(U_488,V_489,W_490) ),
inference(resolution,[status(thm)],[c_212,c_14]) ).
tff(c_2253,plain,
! [V_492] :
( ( inner_pasch(v,V_492,w,v,u) = v )
| ~ between(v,V_492,w) ),
inference(resolution,[status(thm)],[c_38,c_2219]) ).
tff(c_2268,plain,
inner_pasch(v,w,w,v,u) = v,
inference(resolution,[status(thm)],[c_72,c_2253]) ).
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_117]) ).
tff(c_2275,plain,
( between(w,v,u)
| ~ between(u,v,w)
| ~ between(v,w,w) ),
inference(superposition,[status(thm),theory(equality)],[c_2268,c_16]) ).
tff(c_2281,plain,
between(w,v,u),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_38,c_2275]) ).
tff(c_2283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1168,c_2281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO048-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % 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
% 0.07/0.27 % Computer : n013.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Fri Aug 4 00:41:48 EDT 2023
% 0.07/0.27 % CPUTime :
% 5.62/2.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.98/2.52
% 5.98/2.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.98/2.57
% 5.98/2.57 Inference rules
% 5.98/2.57 ----------------------
% 5.98/2.57 #Ref : 0
% 5.98/2.57 #Sup : 528
% 5.98/2.57 #Fact : 0
% 5.98/2.57 #Define : 0
% 5.98/2.57 #Split : 1
% 5.98/2.57 #Chain : 0
% 5.98/2.57 #Close : 0
% 5.98/2.57
% 5.98/2.57 Ordering : KBO
% 5.98/2.57
% 5.98/2.57 Simplification rules
% 5.98/2.57 ----------------------
% 5.98/2.57 #Subsume : 8
% 5.98/2.57 #Demod : 396
% 5.98/2.57 #Tautology : 229
% 5.98/2.57 #SimpNegUnit : 2
% 5.98/2.57 #BackRed : 0
% 5.98/2.57
% 5.98/2.57 #Partial instantiations: 0
% 5.98/2.57 #Strategies tried : 1
% 5.98/2.57
% 5.98/2.57 Timing (in seconds)
% 5.98/2.57 ----------------------
% 5.98/2.58 Preprocessing : 0.49
% 5.98/2.58 Parsing : 0.26
% 5.98/2.58 CNF conversion : 0.03
% 5.98/2.58 Main loop : 0.96
% 5.98/2.58 Inferencing : 0.35
% 5.98/2.58 Reduction : 0.30
% 5.98/2.58 Demodulation : 0.23
% 5.98/2.58 BG Simplification : 0.03
% 5.98/2.58 Subsumption : 0.20
% 5.98/2.58 Abstraction : 0.04
% 5.98/2.58 MUC search : 0.00
% 5.98/2.58 Cooper : 0.00
% 5.98/2.58 Total : 1.52
% 5.98/2.58 Index Insertion : 0.00
% 5.98/2.58 Index Deletion : 0.00
% 5.98/2.58 Index Matching : 0.00
% 5.98/2.58 BG Taut test : 0.00
%------------------------------------------------------------------------------