TSTP Solution File: GEO064-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO064-2 : 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 : n015.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 10:38:05 EDT 2023
% Result : Unsatisfiable 4.81s 2.19s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 41 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 46 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 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 : 35 ( 8 >; 27 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 64 (; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > 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(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
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(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_251,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_275,axiom,
~ colinear(u,v,w),
file(unknown,unknown) ).
tff(f_273,axiom,
between(w,v,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_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_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(c_63,plain,
! [X_94,Y_95,Z_96] :
( colinear(X_94,Y_95,Z_96)
| ~ between(X_94,Y_95,Z_96) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_48,plain,
~ colinear(u,v,w),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_67,plain,
~ between(u,v,w),
inference(resolution,[status(thm)],[c_63,c_48]) ).
tff(c_46,plain,
between(w,v,u),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_74,plain,
! [Y_104,X_105,W_106,V_107] : equidistant(Y_104,extension(X_105,Y_104,W_106,V_107),W_106,V_107),
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_80,plain,
! [X_108,Y_109,V_110] : ( extension(X_108,Y_109,V_110,V_110) = Y_109 ),
inference(resolution,[status(thm)],[c_74,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_89,plain,
! [X_108,Y_109] : between(X_108,Y_109,Y_109),
inference(superposition,[status(thm),theory(equality)],[c_80,c_8]) ).
tff(c_337,plain,
! [Y_171,X_173,V_175,U_172,W_174] :
( between(V_175,inner_pasch(U_172,V_175,W_174,X_173,Y_171),Y_171)
| ~ between(Y_171,X_173,W_174)
| ~ between(U_172,V_175,W_174) ),
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_1461,plain,
! [U_355,Y_356,W_357,X_358] :
( ( inner_pasch(U_355,Y_356,W_357,X_358,Y_356) = Y_356 )
| ~ between(Y_356,X_358,W_357)
| ~ between(U_355,Y_356,W_357) ),
inference(resolution,[status(thm)],[c_337,c_14]) ).
tff(c_1570,plain,
! [U_364,X_365,Y_366] :
( ( inner_pasch(U_364,X_365,Y_366,Y_366,X_365) = X_365 )
| ~ between(U_364,X_365,Y_366) ),
inference(resolution,[status(thm)],[c_89,c_1461]) ).
tff(c_1594,plain,
inner_pasch(w,v,u,u,v) = v,
inference(resolution,[status(thm)],[c_46,c_1570]) ).
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_1601,plain,
( between(u,v,w)
| ~ between(v,u,u)
| ~ between(w,v,u) ),
inference(superposition,[status(thm),theory(equality)],[c_1594,c_18]) ).
tff(c_1607,plain,
between(u,v,w),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_89,c_1601]) ).
tff(c_1609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67,c_1607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO064-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:42:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.81/2.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/2.20
% 4.81/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.81/2.23
% 4.81/2.23 Inference rules
% 4.81/2.23 ----------------------
% 4.81/2.23 #Ref : 0
% 4.81/2.23 #Sup : 362
% 4.81/2.23 #Fact : 0
% 4.81/2.23 #Define : 0
% 4.81/2.23 #Split : 0
% 4.81/2.23 #Chain : 0
% 4.81/2.23 #Close : 0
% 4.81/2.23
% 4.81/2.23 Ordering : KBO
% 4.81/2.23
% 4.81/2.23 Simplification rules
% 4.81/2.23 ----------------------
% 4.81/2.23 #Subsume : 6
% 4.81/2.23 #Demod : 290
% 4.81/2.23 #Tautology : 189
% 4.81/2.23 #SimpNegUnit : 1
% 4.81/2.23 #BackRed : 0
% 4.81/2.23
% 4.81/2.23 #Partial instantiations: 0
% 4.81/2.23 #Strategies tried : 1
% 4.81/2.23
% 4.81/2.23 Timing (in seconds)
% 4.81/2.23 ----------------------
% 4.81/2.23 Preprocessing : 0.50
% 4.81/2.23 Parsing : 0.28
% 4.81/2.23 CNF conversion : 0.03
% 4.81/2.23 Main loop : 0.65
% 4.81/2.23 Inferencing : 0.25
% 4.81/2.23 Reduction : 0.19
% 4.81/2.23 Demodulation : 0.14
% 4.81/2.23 BG Simplification : 0.03
% 4.81/2.23 Subsumption : 0.14
% 4.81/2.23 Abstraction : 0.03
% 4.81/2.23 MUC search : 0.00
% 4.81/2.23 Cooper : 0.00
% 4.81/2.23 Total : 1.20
% 4.81/2.23 Index Insertion : 0.00
% 4.81/2.23 Index Deletion : 0.00
% 4.81/2.23 Index Matching : 0.00
% 4.81/2.23 BG Taut test : 0.00
%------------------------------------------------------------------------------