TSTP Solution File: CAT009-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT009-1 : 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 : n031.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 10:34:37 EDT 2023
% Result : Unsatisfiable 5.90s 2.44s
% Output : CNFRefutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 37 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 65 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 39 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 (; 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(domain,type,
domain: $i > $i ).
tff(defined,type,
defined: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_171,axiom,
defined(b,a),
file(unknown,unknown) ).
tff(f_132,axiom,
! [X] : identity_map(domain(X)),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : defined(X,domain(X)),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X,Y,Xy,Z] :
( ~ product(X,Y,Xy)
| ~ defined(Xy,Z)
| defined(Y,Z) ),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file(unknown,unknown) ).
tff(f_151,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_168,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
domain(compose(b,a)) != domain(a),
file(unknown,unknown) ).
tff(c_38,plain,
defined(b,a),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_20,plain,
! [X_39] : identity_map(domain(X_39)),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( product(X_1,Y_2,compose(X_1,Y_2))
| ~ defined(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_73,plain,
! [Y_68,Z_69,Xy_70,X_71] :
( defined(Y_68,Z_69)
| ~ defined(Xy_70,Z_69)
| ~ product(X_71,Y_68,Xy_70) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_784,plain,
! [Y_133,X_134,X_135] :
( defined(Y_133,domain(X_134))
| ~ product(X_135,Y_133,X_134) ),
inference(resolution,[status(thm)],[c_24,c_73]) ).
tff(c_806,plain,
! [Y_2,X_1] :
( defined(Y_2,domain(compose(X_1,Y_2)))
| ~ defined(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_2,c_784]) ).
tff(c_34,plain,
! [X_47,Y_48] :
( product(X_47,Y_48,X_47)
| ~ identity_map(Y_48)
| ~ defined(X_47,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_805,plain,
! [Y_48,X_47] :
( defined(Y_48,domain(X_47))
| ~ identity_map(Y_48)
| ~ defined(X_47,Y_48) ),
inference(resolution,[status(thm)],[c_34,c_784]) ).
tff(c_32,plain,
! [X_45,Y_46] :
( product(X_45,Y_46,Y_46)
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_109,plain,
! [Z_74,W_75,X_76,Y_77] :
( ( Z_74 = W_75 )
| ~ product(X_76,Y_77,W_75)
| ~ product(X_76,Y_77,Z_74) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_1344,plain,
! [Z_165,X_166,Y_167] :
( ( Z_165 = X_166 )
| ~ product(X_166,Y_167,Z_165)
| ~ identity_map(Y_167)
| ~ defined(X_166,Y_167) ),
inference(resolution,[status(thm)],[c_34,c_109]) ).
tff(c_1991,plain,
! [Y_188,X_189] :
( ( Y_188 = X_189 )
| ~ identity_map(Y_188)
| ~ identity_map(X_189)
| ~ defined(X_189,Y_188) ),
inference(resolution,[status(thm)],[c_32,c_1344]) ).
tff(c_2015,plain,
! [X_47,Y_48] :
( ( domain(X_47) = Y_48 )
| ~ identity_map(domain(X_47))
| ~ identity_map(Y_48)
| ~ defined(X_47,Y_48) ),
inference(resolution,[status(thm)],[c_805,c_1991]) ).
tff(c_2459,plain,
! [X_200,Y_201] :
( ( domain(X_200) = Y_201 )
| ~ identity_map(Y_201)
| ~ defined(X_200,Y_201) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_2015]) ).
tff(c_2477,plain,
! [X_1,Y_2] :
( ( domain(compose(X_1,Y_2)) = domain(Y_2) )
| ~ identity_map(domain(compose(X_1,Y_2)))
| ~ defined(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_806,c_2459]) ).
tff(c_4451,plain,
! [X_263,Y_264] :
( ( domain(compose(X_263,Y_264)) = domain(Y_264) )
| ~ defined(X_263,Y_264) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_2477]) ).
tff(c_40,plain,
domain(compose(b,a)) != domain(a),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_4554,plain,
~ defined(b,a),
inference(superposition,[status(thm),theory(equality)],[c_4451,c_40]) ).
tff(c_4601,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CAT009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Thu Aug 3 18:12:45 EDT 2023
% 0.15/0.37 % CPUTime :
% 5.90/2.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.90/2.45
% 5.90/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.90/2.47
% 5.90/2.47 Inference rules
% 5.90/2.47 ----------------------
% 5.90/2.47 #Ref : 0
% 5.90/2.47 #Sup : 987
% 5.90/2.47 #Fact : 0
% 5.90/2.47 #Define : 0
% 5.90/2.47 #Split : 2
% 5.90/2.47 #Chain : 0
% 5.90/2.47 #Close : 0
% 5.90/2.47
% 5.90/2.47 Ordering : KBO
% 5.90/2.47
% 5.90/2.47 Simplification rules
% 5.90/2.47 ----------------------
% 5.90/2.47 #Subsume : 210
% 5.90/2.47 #Demod : 849
% 5.90/2.47 #Tautology : 350
% 5.90/2.47 #SimpNegUnit : 0
% 5.90/2.47 #BackRed : 7
% 5.90/2.47
% 5.90/2.47 #Partial instantiations: 0
% 5.90/2.47 #Strategies tried : 1
% 5.90/2.47
% 5.90/2.47 Timing (in seconds)
% 5.90/2.47 ----------------------
% 5.90/2.48 Preprocessing : 0.48
% 5.90/2.48 Parsing : 0.26
% 5.90/2.48 CNF conversion : 0.03
% 5.90/2.48 Main loop : 0.93
% 5.90/2.48 Inferencing : 0.33
% 5.90/2.48 Reduction : 0.29
% 5.90/2.48 Demodulation : 0.20
% 5.90/2.48 BG Simplification : 0.03
% 5.90/2.48 Subsumption : 0.21
% 5.90/2.48 Abstraction : 0.04
% 5.90/2.48 MUC search : 0.00
% 5.90/2.48 Cooper : 0.00
% 5.90/2.48 Total : 1.45
% 5.90/2.48 Index Insertion : 0.00
% 5.90/2.48 Index Deletion : 0.00
% 5.90/2.48 Index Matching : 0.00
% 5.90/2.48 BG Taut test : 0.00
%------------------------------------------------------------------------------