TSTP Solution File: GEO056-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO056-2 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.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 10:38:03 EDT 2023
% Result : Unsatisfiable 3.33s 1.74s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 27 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 16 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 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 : 11 ( 11 usr; 5 con; 0-6 aty)
% Number of variables : 22 (; 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > 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(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_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_245,axiom,
! [U,V] : ( reflection(U,V) = extension(U,V,U,V) ),
file(unknown,unknown) ).
tff(f_248,axiom,
u = v,
file(unknown,unknown) ).
tff(f_250,axiom,
v != reflection(u,v),
file(unknown,unknown) ).
tff(c_71,plain,
! [Y_89,X_90,W_91,V_92] : equidistant(Y_89,extension(X_90,Y_89,W_91,V_92),W_91,V_92),
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_93,Y_94,V_95] : ( extension(X_93,Y_94,V_95,V_95) = Y_94 ),
inference(resolution,[status(thm)],[c_71,c_6]) ).
tff(c_38,plain,
! [U_72,V_73] : ( extension(U_72,V_73,U_72,V_73) = reflection(U_72,V_73) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_93,plain,
! [V_95] : ( reflection(V_95,V_95) = V_95 ),
inference(superposition,[status(thm),theory(equality)],[c_80,c_38]) ).
tff(c_40,plain,
v = u,
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_42,plain,
reflection(u,v) != v,
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_43,plain,
reflection(u,u) != u,
inference(demodulation,[status(thm),theory(equality)],[c_40,c_40,c_42]) ).
tff(c_112,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93,c_43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO056-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 00:30:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.33/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.33/1.74
% 3.33/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.62/1.77
% 3.62/1.77 Inference rules
% 3.62/1.77 ----------------------
% 3.62/1.77 #Ref : 0
% 3.62/1.77 #Sup : 15
% 3.62/1.77 #Fact : 0
% 3.62/1.77 #Define : 0
% 3.62/1.77 #Split : 0
% 3.62/1.77 #Chain : 0
% 3.62/1.77 #Close : 0
% 3.62/1.77
% 3.62/1.77 Ordering : KBO
% 3.62/1.77
% 3.62/1.77 Simplification rules
% 3.62/1.77 ----------------------
% 3.62/1.77 #Subsume : 0
% 3.62/1.77 #Demod : 3
% 3.62/1.77 #Tautology : 8
% 3.62/1.77 #SimpNegUnit : 0
% 3.62/1.77 #BackRed : 1
% 3.62/1.77
% 3.62/1.77 #Partial instantiations: 0
% 3.62/1.77 #Strategies tried : 1
% 3.62/1.77
% 3.62/1.77 Timing (in seconds)
% 3.62/1.77 ----------------------
% 3.62/1.77 Preprocessing : 0.54
% 3.62/1.77 Parsing : 0.31
% 3.62/1.77 CNF conversion : 0.03
% 3.62/1.77 Main loop : 0.19
% 3.62/1.77 Inferencing : 0.07
% 3.62/1.77 Reduction : 0.06
% 3.62/1.77 Demodulation : 0.04
% 3.62/1.77 BG Simplification : 0.02
% 3.62/1.77 Subsumption : 0.04
% 3.62/1.77 Abstraction : 0.01
% 3.62/1.77 MUC search : 0.00
% 3.62/1.77 Cooper : 0.00
% 3.62/1.77 Total : 0.78
% 3.62/1.77 Index Insertion : 0.00
% 3.62/1.77 Index Deletion : 0.00
% 3.62/1.77 Index Matching : 0.00
% 3.62/1.77 BG Taut test : 0.00
%------------------------------------------------------------------------------