TSTP Solution File: GEO019-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO019-3 : 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 : n006.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 10:37:55 EDT 2023
% Result : Unsatisfiable 3.05s 1.70s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 25 ( 7 unt; 14 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 16 (; 16 !; 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_238,axiom,
~ equidistant(w,x,v,u),
file(unknown,unknown) ).
tff(f_236,axiom,
equidistant(u,v,w,x),
file(unknown,unknown) ).
tff(f_235,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(V,U,W,X) ),
file(unknown,unknown) ).
tff(f_230,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(W,X,U,V) ),
file(unknown,unknown) ).
tff(c_46,plain,
~ equidistant(w,x,v,u),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_44,plain,
equidistant(u,v,w,x),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_98,plain,
! [V_106,U_107,W_108,X_109] :
( equidistant(V_106,U_107,W_108,X_109)
| ~ equidistant(U_107,V_106,W_108,X_109) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_116,plain,
equidistant(v,u,w,x),
inference(resolution,[status(thm)],[c_44,c_98]) ).
tff(c_40,plain,
! [W_76,X_77,U_74,V_75] :
( equidistant(W_76,X_77,U_74,V_75)
| ~ equidistant(U_74,V_75,W_76,X_77) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_137,plain,
equidistant(w,x,v,u),
inference(resolution,[status(thm)],[c_116,c_40]) ).
tff(c_143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO019-3 : 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:26:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.05/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.70
% 3.05/1.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.22/1.73
% 3.22/1.73 Inference rules
% 3.22/1.73 ----------------------
% 3.22/1.73 #Ref : 0
% 3.22/1.73 #Sup : 21
% 3.22/1.73 #Fact : 0
% 3.22/1.73 #Define : 0
% 3.22/1.73 #Split : 0
% 3.22/1.73 #Chain : 0
% 3.22/1.73 #Close : 0
% 3.22/1.73
% 3.22/1.73 Ordering : KBO
% 3.22/1.73
% 3.22/1.73 Simplification rules
% 3.22/1.73 ----------------------
% 3.22/1.73 #Subsume : 0
% 3.22/1.73 #Demod : 6
% 3.22/1.73 #Tautology : 12
% 3.22/1.73 #SimpNegUnit : 1
% 3.22/1.73 #BackRed : 0
% 3.22/1.73
% 3.22/1.73 #Partial instantiations: 0
% 3.22/1.73 #Strategies tried : 1
% 3.22/1.73
% 3.22/1.73 Timing (in seconds)
% 3.22/1.73 ----------------------
% 3.22/1.74 Preprocessing : 0.46
% 3.22/1.74 Parsing : 0.25
% 3.22/1.74 CNF conversion : 0.03
% 3.22/1.74 Main loop : 0.22
% 3.22/1.74 Inferencing : 0.07
% 3.22/1.74 Reduction : 0.07
% 3.22/1.74 Demodulation : 0.05
% 3.22/1.74 BG Simplification : 0.02
% 3.22/1.74 Subsumption : 0.05
% 3.22/1.74 Abstraction : 0.01
% 3.22/1.74 MUC search : 0.00
% 3.22/1.74 Cooper : 0.00
% 3.22/1.74 Total : 0.72
% 3.22/1.74 Index Insertion : 0.00
% 3.22/1.74 Index Deletion : 0.00
% 3.22/1.74 Index Matching : 0.00
% 3.22/1.74 BG Taut test : 0.00
%------------------------------------------------------------------------------