TSTP Solution File: LAT039-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT039-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n014.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 10:46:16 EDT 2023
% Result : Unsatisfiable 8.94s 3.41s
% Output : CNFRefutation 8.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 8 unt; 5 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 (; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > zz > yy > xx
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(zz,type,
zz: $i ).
tff(yy,type,
yy: $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_71,axiom,
join(xx,yy) = yy,
file(unknown,unknown) ).
tff(f_68,axiom,
! [X,Y,Z] : ( join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ),
file(unknown,unknown) ).
tff(f_73,axiom,
join(xx,meet(yy,zz)) != meet(yy,join(xx,zz)),
file(unknown,unknown) ).
tff(c_22,plain,
join(xx,yy) = yy,
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1553,plain,
! [X_66,Y_67,Z_68] : ( meet(join(X_66,Y_67),join(X_66,Z_68)) = join(X_66,meet(Y_67,Z_68)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1705,plain,
! [Z_68] : ( meet(yy,join(xx,Z_68)) = join(xx,meet(yy,Z_68)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_1553]) ).
tff(c_24,plain,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_15618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1705,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT039-1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:49:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.94/3.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.94/3.41
% 8.94/3.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.94/3.44
% 8.94/3.44 Inference rules
% 8.94/3.44 ----------------------
% 8.94/3.44 #Ref : 0
% 8.94/3.44 #Sup : 3837
% 8.94/3.44 #Fact : 0
% 8.94/3.44 #Define : 0
% 8.94/3.44 #Split : 0
% 8.94/3.44 #Chain : 0
% 8.94/3.44 #Close : 0
% 8.94/3.44
% 8.94/3.44 Ordering : KBO
% 8.94/3.44
% 8.94/3.44 Simplification rules
% 8.94/3.44 ----------------------
% 8.94/3.44 #Subsume : 144
% 8.94/3.44 #Demod : 4186
% 8.94/3.44 #Tautology : 2374
% 8.94/3.44 #SimpNegUnit : 0
% 8.94/3.44 #BackRed : 1
% 8.94/3.44
% 8.94/3.44 #Partial instantiations: 0
% 8.94/3.44 #Strategies tried : 1
% 8.94/3.44
% 8.94/3.44 Timing (in seconds)
% 8.94/3.44 ----------------------
% 8.94/3.44 Preprocessing : 0.44
% 8.94/3.44 Parsing : 0.22
% 8.94/3.44 CNF conversion : 0.02
% 8.94/3.44 Main loop : 1.81
% 8.94/3.44 Inferencing : 0.49
% 8.94/3.44 Reduction : 0.92
% 8.94/3.44 Demodulation : 0.81
% 8.94/3.44 BG Simplification : 0.05
% 8.94/3.44 Subsumption : 0.25
% 8.94/3.44 Abstraction : 0.08
% 8.94/3.44 MUC search : 0.00
% 8.94/3.44 Cooper : 0.00
% 8.94/3.44 Total : 2.30
% 8.94/3.44 Index Insertion : 0.00
% 8.94/3.44 Index Deletion : 0.00
% 8.94/3.44 Index Matching : 0.00
% 8.94/3.44 BG Taut test : 0.00
%------------------------------------------------------------------------------