TSTP Solution File: GEO015-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO015-3 : 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 : n011.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 10:37:54 EDT 2023
% Result : Unsatisfiable 3.12s 1.86s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 25 ( 8 unt; 14 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 7 >; 25 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #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(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_228,axiom,
~ equidistant(w,x,u,v),
file(unknown,unknown) ).
tff(f_226,axiom,
equidistant(u,v,w,x),
file(unknown,unknown) ).
tff(f_225,axiom,
! [U,V] : equidistant(U,V,U,V),
file(unknown,unknown) ).
tff(f_67,axiom,
! [W,Z,X,Y,V,V2] :
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W)
| equidistant(Z,V,V2,W) ),
file(unknown,unknown) ).
tff(c_42,plain,
~ equidistant(w,x,u,v),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_40,plain,
equidistant(u,v,w,x),
inference(cnfTransformation,[status(thm)],[f_226]) ).
tff(c_38,plain,
! [U_72,V_73] : equidistant(U_72,V_73,U_72,V_73),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_94,plain,
! [V2_99,Z_100,X_103,Y_101,V_98,W_102] :
( equidistant(Z_100,V_98,V2_99,W_102)
| ~ equidistant(X_103,Y_101,V2_99,W_102)
| ~ equidistant(X_103,Y_101,Z_100,V_98) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_116,plain,
! [Z_109,V_110,U_111,V_112] :
( equidistant(Z_109,V_110,U_111,V_112)
| ~ equidistant(U_111,V_112,Z_109,V_110) ),
inference(resolution,[status(thm)],[c_38,c_94]) ).
tff(c_124,plain,
equidistant(w,x,u,v),
inference(resolution,[status(thm)],[c_40,c_116]) ).
tff(c_135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO015-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 4 00:28:06 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.12/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.12/1.87
% 3.12/1.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.35/1.90
% 3.35/1.90 Inference rules
% 3.35/1.90 ----------------------
% 3.35/1.90 #Ref : 0
% 3.35/1.90 #Sup : 20
% 3.35/1.90 #Fact : 0
% 3.35/1.90 #Define : 0
% 3.35/1.90 #Split : 0
% 3.35/1.90 #Chain : 0
% 3.35/1.90 #Close : 0
% 3.35/1.90
% 3.35/1.90 Ordering : KBO
% 3.35/1.90
% 3.35/1.90 Simplification rules
% 3.35/1.90 ----------------------
% 3.35/1.90 #Subsume : 0
% 3.35/1.90 #Demod : 2
% 3.35/1.90 #Tautology : 8
% 3.35/1.90 #SimpNegUnit : 1
% 3.35/1.90 #BackRed : 0
% 3.35/1.90
% 3.35/1.90 #Partial instantiations: 0
% 3.35/1.90 #Strategies tried : 1
% 3.35/1.90
% 3.35/1.90 Timing (in seconds)
% 3.35/1.90 ----------------------
% 3.35/1.90 Preprocessing : 0.49
% 3.35/1.90 Parsing : 0.27
% 3.41/1.90 CNF conversion : 0.03
% 3.41/1.90 Main loop : 0.24
% 3.41/1.90 Inferencing : 0.09
% 3.41/1.90 Reduction : 0.07
% 3.41/1.90 Demodulation : 0.05
% 3.41/1.90 BG Simplification : 0.02
% 3.41/1.90 Subsumption : 0.05
% 3.41/1.90 Abstraction : 0.01
% 3.41/1.90 MUC search : 0.00
% 3.41/1.91 Cooper : 0.00
% 3.41/1.91 Total : 0.78
% 3.41/1.91 Index Insertion : 0.00
% 3.41/1.91 Index Deletion : 0.00
% 3.41/1.91 Index Matching : 0.00
% 3.41/1.91 BG Taut test : 0.00
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