TSTP Solution File: CAT006-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT006-1 : 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 : n012.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 10:34:36 EDT 2023
% Result : Unsatisfiable 4.14s 2.07s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 41 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 64 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 44 (; 44 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > h > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: $i ).
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(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_176,axiom,
codomain(a) != h,
file(unknown,unknown) ).
tff(f_144,axiom,
! [X] : product(codomain(X),X,X),
file(unknown,unknown) ).
tff(f_173,axiom,
defined(h,a),
file(unknown,unknown) ).
tff(f_98,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(X,Y) ),
file(unknown,unknown) ).
tff(f_174,axiom,
identity_map(h),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file(unknown,unknown) ).
tff(f_161,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(c_42,plain,
codomain(a) != h,
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_30,plain,
! [X_44] : product(codomain(X_44),X_44,X_44),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_38,plain,
defined(h,a),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_119,plain,
! [X_74,Y_75,Yz_76,Z_77] :
( defined(X_74,Y_75)
| ~ defined(X_74,Yz_76)
| ~ product(Y_75,Z_77,Yz_76) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_830,plain,
! [Y_127,Z_128] :
( defined(h,Y_127)
| ~ product(Y_127,Z_128,a) ),
inference(resolution,[status(thm)],[c_38,c_119]) ).
tff(c_852,plain,
defined(h,codomain(a)),
inference(resolution,[status(thm)],[c_30,c_830]) ).
tff(c_40,plain,
identity_map(h),
inference(cnfTransformation,[status(thm)],[f_174]) ).
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_153]) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
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_53]) ).
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_161]) ).
tff(c_75,plain,
! [Z_68,W_69,X_70,Y_71] :
( ( Z_68 = W_69 )
| ~ product(X_70,Y_71,W_69)
| ~ product(X_70,Y_71,Z_68) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_1663,plain,
! [Z_168,X_169,Y_170] :
( ( Z_168 = X_169 )
| ~ product(X_169,Y_170,Z_168)
| ~ identity_map(Y_170)
| ~ defined(X_169,Y_170) ),
inference(resolution,[status(thm)],[c_34,c_75]) ).
tff(c_1952,plain,
! [X_181,Y_182] :
( ( compose(X_181,Y_182) = X_181 )
| ~ identity_map(Y_182)
| ~ defined(X_181,Y_182) ),
inference(resolution,[status(thm)],[c_2,c_1663]) ).
tff(c_1973,plain,
( ( compose(h,codomain(a)) = h )
| ~ identity_map(codomain(a)) ),
inference(resolution,[status(thm)],[c_852,c_1952]) ).
tff(c_2008,plain,
compose(h,codomain(a)) = h,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1973]) ).
tff(c_2033,plain,
( product(h,codomain(a),h)
| ~ defined(h,codomain(a)) ),
inference(superposition,[status(thm),theory(equality)],[c_2008,c_2]) ).
tff(c_2041,plain,
product(h,codomain(a),h),
inference(demodulation,[status(thm),theory(equality)],[c_852,c_2033]) ).
tff(c_36,plain,
! [Z_51,W_52,X_49,Y_50] :
( ( Z_51 = W_52 )
| ~ product(X_49,Y_50,W_52)
| ~ product(X_49,Y_50,Z_51) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_2230,plain,
! [Z_187] :
( ( h = Z_187 )
| ~ product(h,codomain(a),Z_187) ),
inference(resolution,[status(thm)],[c_2041,c_36]) ).
tff(c_2237,plain,
( ( codomain(a) = h )
| ~ identity_map(h)
| ~ defined(h,codomain(a)) ),
inference(resolution,[status(thm)],[c_32,c_2230]) ).
tff(c_2250,plain,
codomain(a) = h,
inference(demodulation,[status(thm),theory(equality)],[c_852,c_40,c_2237]) ).
tff(c_2252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_2250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Thu Aug 3 17:42:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.14/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.14/2.08
% 4.14/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.14/2.11
% 4.14/2.11 Inference rules
% 4.14/2.11 ----------------------
% 4.14/2.11 #Ref : 0
% 4.14/2.11 #Sup : 494
% 4.14/2.11 #Fact : 0
% 4.14/2.11 #Define : 0
% 4.14/2.11 #Split : 1
% 4.14/2.11 #Chain : 0
% 4.14/2.11 #Close : 0
% 4.14/2.11
% 4.14/2.11 Ordering : KBO
% 4.14/2.11
% 4.14/2.11 Simplification rules
% 4.14/2.11 ----------------------
% 4.14/2.11 #Subsume : 22
% 4.14/2.11 #Demod : 452
% 4.14/2.11 #Tautology : 275
% 4.14/2.11 #SimpNegUnit : 1
% 4.14/2.11 #BackRed : 5
% 4.14/2.11
% 4.14/2.11 #Partial instantiations: 0
% 4.14/2.11 #Strategies tried : 1
% 4.14/2.11
% 4.14/2.11 Timing (in seconds)
% 4.14/2.11 ----------------------
% 4.14/2.11 Preprocessing : 0.43
% 4.14/2.11 Parsing : 0.24
% 4.14/2.11 CNF conversion : 0.02
% 4.14/2.11 Main loop : 0.65
% 4.14/2.11 Inferencing : 0.24
% 4.14/2.11 Reduction : 0.20
% 4.14/2.11 Demodulation : 0.14
% 4.14/2.11 BG Simplification : 0.03
% 4.14/2.11 Subsumption : 0.14
% 4.14/2.11 Abstraction : 0.03
% 4.14/2.11 MUC search : 0.00
% 4.14/2.11 Cooper : 0.00
% 4.14/2.11 Total : 1.13
% 4.14/2.11 Index Insertion : 0.00
% 4.14/2.11 Index Deletion : 0.00
% 4.14/2.11 Index Matching : 0.00
% 4.14/2.11 BG Taut test : 0.00
%------------------------------------------------------------------------------