TSTP Solution File: CAT010-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT010-1 : 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/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 : n025.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 10:34:38 EDT 2023
% Result : Unsatisfiable 6.34s 2.61s
% Output : CNFRefutation 6.75s
% 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_134,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X] : defined(codomain(X),X),
file(unknown,unknown) ).
tff(f_96,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(X,Y) ),
file(unknown,unknown) ).
tff(f_151,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
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,
codomain(compose(b,a)) != codomain(b),
file(unknown,unknown) ).
tff(c_38,plain,
defined(b,a),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
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_26,plain,
! [X_42] : defined(codomain(X_42),X_42),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_176,plain,
! [X_82,Y_83,Yz_84,Z_85] :
( defined(X_82,Y_83)
| ~ defined(X_82,Yz_84)
| ~ product(Y_83,Z_85,Yz_84) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_847,plain,
! [X_139,Y_140,Z_141] :
( defined(codomain(X_139),Y_140)
| ~ product(Y_140,Z_141,X_139) ),
inference(resolution,[status(thm)],[c_26,c_176]) ).
tff(c_869,plain,
! [X_1,Y_2] :
( defined(codomain(compose(X_1,Y_2)),X_1)
| ~ defined(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_2,c_847]) ).
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_866,plain,
! [Y_46,X_45] :
( defined(codomain(Y_46),X_45)
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(resolution,[status(thm)],[c_32,c_847]) ).
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_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_1997,plain,
! [Y_46,X_45] :
( ( codomain(Y_46) = X_45 )
| ~ identity_map(codomain(Y_46))
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(resolution,[status(thm)],[c_866,c_1991]) ).
tff(c_2301,plain,
! [Y_195,X_196] :
( ( codomain(Y_195) = X_196 )
| ~ identity_map(X_196)
| ~ defined(X_196,Y_195) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1997]) ).
tff(c_2310,plain,
! [X_1,Y_2] :
( ( codomain(compose(X_1,Y_2)) = codomain(X_1) )
| ~ identity_map(codomain(compose(X_1,Y_2)))
| ~ defined(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_869,c_2301]) ).
tff(c_6090,plain,
! [X_302,Y_303] :
( ( codomain(compose(X_302,Y_303)) = codomain(X_302) )
| ~ defined(X_302,Y_303) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2310]) ).
tff(c_40,plain,
codomain(compose(b,a)) != codomain(b),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_6217,plain,
~ defined(b,a),
inference(superposition,[status(thm),theory(equality)],[c_6090,c_40]) ).
tff(c_6264,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n025.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 17:58:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.34/2.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.34/2.61
% 6.34/2.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.75/2.64
% 6.75/2.64 Inference rules
% 6.75/2.64 ----------------------
% 6.75/2.64 #Ref : 0
% 6.75/2.64 #Sup : 1361
% 6.75/2.64 #Fact : 0
% 6.75/2.64 #Define : 0
% 6.75/2.64 #Split : 2
% 6.75/2.64 #Chain : 0
% 6.75/2.64 #Close : 0
% 6.75/2.64
% 6.75/2.64 Ordering : KBO
% 6.75/2.64
% 6.75/2.64 Simplification rules
% 6.75/2.64 ----------------------
% 6.75/2.64 #Subsume : 331
% 6.75/2.64 #Demod : 1157
% 6.75/2.64 #Tautology : 427
% 6.75/2.64 #SimpNegUnit : 0
% 6.75/2.64 #BackRed : 7
% 6.75/2.64
% 6.75/2.64 #Partial instantiations: 0
% 6.75/2.64 #Strategies tried : 1
% 6.75/2.64
% 6.75/2.64 Timing (in seconds)
% 6.75/2.64 ----------------------
% 6.75/2.65 Preprocessing : 0.47
% 6.75/2.65 Parsing : 0.26
% 6.75/2.65 CNF conversion : 0.03
% 6.75/2.65 Main loop : 1.09
% 6.75/2.65 Inferencing : 0.39
% 6.75/2.65 Reduction : 0.33
% 6.75/2.65 Demodulation : 0.24
% 6.75/2.65 BG Simplification : 0.04
% 6.75/2.65 Subsumption : 0.26
% 6.75/2.65 Abstraction : 0.04
% 6.75/2.65 MUC search : 0.00
% 6.75/2.65 Cooper : 0.00
% 6.75/2.65 Total : 1.61
% 6.75/2.65 Index Insertion : 0.00
% 6.75/2.65 Index Deletion : 0.00
% 6.75/2.65 Index Matching : 0.00
% 6.75/2.65 BG Taut test : 0.00
%------------------------------------------------------------------------------