TSTP Solution File: CAT013-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT013-1 : 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 : n011.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 10:34:39 EDT 2023
% Result : Unsatisfiable 3.11s 1.84s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 24 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > 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(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_134,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : defined(X,domain(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_140,axiom,
! [X] : product(X,domain(X),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_172,axiom,
domain(codomain(a)) != codomain(a),
file(unknown,unknown) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
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_28,plain,
! [X_43] : product(X_43,domain(X_43),X_43),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_71,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_168]) ).
tff(c_87,plain,
! [Z_72,X_73] :
( ( Z_72 = X_73 )
| ~ product(X_73,domain(X_73),Z_72) ),
inference(resolution,[status(thm)],[c_28,c_71]) ).
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_87]) ).
tff(c_129,plain,
! [X_75] :
( ( domain(X_75) = X_75 )
| ~ identity_map(X_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_95]) ).
tff(c_137,plain,
! [X_40] : ( domain(codomain(X_40)) = codomain(X_40) ),
inference(resolution,[status(thm)],[c_22,c_129]) ).
tff(c_38,plain,
domain(codomain(a)) != codomain(a),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CAT013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:50:51 EDT 2023
% 0.14/0.37 % CPUTime :
% 3.11/1.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.11/1.84
% 3.11/1.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/1.87
% 3.33/1.87 Inference rules
% 3.33/1.87 ----------------------
% 3.33/1.87 #Ref : 0
% 3.33/1.87 #Sup : 30
% 3.33/1.87 #Fact : 0
% 3.33/1.87 #Define : 0
% 3.33/1.87 #Split : 0
% 3.33/1.87 #Chain : 0
% 3.33/1.87 #Close : 0
% 3.33/1.87
% 3.33/1.87 Ordering : KBO
% 3.33/1.87
% 3.33/1.87 Simplification rules
% 3.33/1.87 ----------------------
% 3.33/1.87 #Subsume : 0
% 3.33/1.87 #Demod : 14
% 3.33/1.87 #Tautology : 15
% 3.33/1.87 #SimpNegUnit : 0
% 3.33/1.87 #BackRed : 1
% 3.33/1.87
% 3.33/1.87 #Partial instantiations: 0
% 3.33/1.87 #Strategies tried : 1
% 3.33/1.87
% 3.33/1.87 Timing (in seconds)
% 3.33/1.87 ----------------------
% 3.33/1.87 Preprocessing : 0.46
% 3.33/1.87 Parsing : 0.26
% 3.33/1.87 CNF conversion : 0.03
% 3.33/1.87 Main loop : 0.25
% 3.33/1.87 Inferencing : 0.10
% 3.33/1.87 Reduction : 0.06
% 3.33/1.87 Demodulation : 0.05
% 3.33/1.87 BG Simplification : 0.02
% 3.33/1.87 Subsumption : 0.05
% 3.33/1.87 Abstraction : 0.01
% 3.33/1.87 MUC search : 0.00
% 3.33/1.87 Cooper : 0.00
% 3.33/1.87 Total : 0.76
% 3.33/1.87 Index Insertion : 0.00
% 3.33/1.87 Index Deletion : 0.00
% 3.33/1.87 Index Matching : 0.00
% 3.33/1.87 BG Taut test : 0.00
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