TSTP Solution File: CAT005-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT005-1 : 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 : 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 10:34:36 EDT 2023
% Result : Unsatisfiable 4.42s 2.17s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 46 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 75 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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 > d > 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(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(d,type,
d: $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_176,axiom,
domain(a) != d,
file(unknown,unknown) ).
tff(f_134,axiom,
! [X] : identity_map(domain(X)),
file(unknown,unknown) ).
tff(f_174,axiom,
identity_map(d),
file(unknown,unknown) ).
tff(f_142,axiom,
! [X] : product(X,domain(X),X),
file(unknown,unknown) ).
tff(f_173,axiom,
defined(a,d),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X,Y,Xy,Z] :
( ~ product(X,Y,Xy)
| ~ defined(Xy,Z)
| defined(Y,Z) ),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X] : defined(X,domain(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(f_98,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(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(c_42,plain,
domain(a) != d,
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_20,plain,
! [X_39] : identity_map(domain(X_39)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_40,plain,
identity_map(d),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_28,plain,
! [X_43] : product(X_43,domain(X_43),X_43),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_38,plain,
defined(a,d),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_161,plain,
! [Y_79,Z_80,Xy_81,X_82] :
( defined(Y_79,Z_80)
| ~ defined(Xy_81,Z_80)
| ~ product(X_82,Y_79,Xy_81) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_771,plain,
! [Y_126,X_127] :
( defined(Y_126,d)
| ~ product(X_127,Y_126,a) ),
inference(resolution,[status(thm)],[c_38,c_161]) ).
tff(c_791,plain,
defined(domain(a),d),
inference(resolution,[status(thm)],[c_28,c_771]) ).
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_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_138]) ).
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_91,plain,
! [Z_72,X_73] :
( ( Z_72 = X_73 )
| ~ product(X_73,domain(X_73),Z_72) ),
inference(resolution,[status(thm)],[c_28,c_75]) ).
tff(c_95,plain,
! [X_45] :
( ( domain(X_45) = X_45 )
| ~ identity_map(X_45)
| ~ defined(X_45,domain(X_45)) ),
inference(resolution,[status(thm)],[c_32,c_91]) ).
tff(c_129,plain,
! [X_78] :
( ( domain(X_78) = X_78 )
| ~ identity_map(X_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_95]) ).
tff(c_141,plain,
domain(d) = d,
inference(resolution,[status(thm)],[c_40,c_129]) ).
tff(c_151,plain,
defined(d,d),
inference(superposition,[status(thm),theory(equality)],[c_141,c_24]) ).
tff(c_12,plain,
! [X_24,Y_21,Yz_23,Z_22] :
( defined(X_24,Y_21)
| ~ defined(X_24,Yz_23)
| ~ product(Y_21,Z_22,Yz_23) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_1076,plain,
! [Y_138,Z_139] :
( defined(d,Y_138)
| ~ product(Y_138,Z_139,d) ),
inference(resolution,[status(thm)],[c_151,c_12]) ).
tff(c_1362,plain,
! [X_158] :
( defined(d,X_158)
| ~ identity_map(X_158)
| ~ defined(X_158,d) ),
inference(resolution,[status(thm)],[c_32,c_1076]) ).
tff(c_1364,plain,
( defined(d,domain(a))
| ~ identity_map(domain(a)) ),
inference(resolution,[status(thm)],[c_791,c_1362]) ).
tff(c_1374,plain,
defined(d,domain(a)),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_1364]) ).
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_2014,plain,
! [Z_181,Y_182,X_183] :
( ( Z_181 = Y_182 )
| ~ product(X_183,Y_182,Z_181)
| ~ identity_map(X_183)
| ~ defined(X_183,Y_182) ),
inference(resolution,[status(thm)],[c_32,c_75]) ).
tff(c_2111,plain,
! [Y_185,X_186] :
( ( Y_185 = X_186 )
| ~ identity_map(X_186)
| ~ identity_map(Y_185)
| ~ defined(X_186,Y_185) ),
inference(resolution,[status(thm)],[c_34,c_2014]) ).
tff(c_2138,plain,
( ( domain(a) = d )
| ~ identity_map(d)
| ~ identity_map(domain(a)) ),
inference(resolution,[status(thm)],[c_1374,c_2111]) ).
tff(c_2188,plain,
domain(a) = d,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_40,c_2138]) ).
tff(c_2190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_2188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 17:42:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.42/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/2.18
% 4.42/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.42/2.22
% 4.42/2.22 Inference rules
% 4.42/2.22 ----------------------
% 4.42/2.22 #Ref : 0
% 4.42/2.22 #Sup : 485
% 4.42/2.22 #Fact : 0
% 4.42/2.22 #Define : 0
% 4.42/2.22 #Split : 1
% 4.42/2.22 #Chain : 0
% 4.42/2.22 #Close : 0
% 4.42/2.22
% 4.42/2.22 Ordering : KBO
% 4.42/2.22
% 4.42/2.22 Simplification rules
% 4.42/2.22 ----------------------
% 4.42/2.22 #Subsume : 24
% 4.42/2.22 #Demod : 414
% 4.42/2.22 #Tautology : 247
% 4.42/2.22 #SimpNegUnit : 1
% 4.42/2.22 #BackRed : 3
% 4.42/2.22
% 4.42/2.22 #Partial instantiations: 0
% 4.42/2.22 #Strategies tried : 1
% 4.42/2.22
% 4.42/2.22 Timing (in seconds)
% 4.42/2.22 ----------------------
% 4.42/2.22 Preprocessing : 0.48
% 4.42/2.22 Parsing : 0.26
% 4.42/2.22 CNF conversion : 0.03
% 4.42/2.22 Main loop : 0.67
% 4.42/2.22 Inferencing : 0.25
% 4.42/2.22 Reduction : 0.20
% 4.42/2.22 Demodulation : 0.14
% 4.42/2.22 BG Simplification : 0.03
% 4.42/2.22 Subsumption : 0.15
% 4.42/2.22 Abstraction : 0.03
% 4.42/2.22 MUC search : 0.00
% 4.42/2.22 Cooper : 0.00
% 4.42/2.22 Total : 1.21
% 4.42/2.22 Index Insertion : 0.00
% 4.42/2.22 Index Deletion : 0.00
% 4.42/2.22 Index Matching : 0.00
% 4.42/2.22 BG Taut test : 0.00
%------------------------------------------------------------------------------