TSTP Solution File: CAT011-3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT011-3 : 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 : n017.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 3.78s 1.89s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 30 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equivalent > there_exists > f1 > compose > #nlpp > domain > codomain > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(equivalent,type,
equivalent: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(domain,type,
domain: $i > $i ).
tff(there_exists,type,
there_exists: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f1,type,
f1: ( $i * $i ) > $i ).
tff(f_157,axiom,
there_exists(domain(a)),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X] :
( ~ there_exists(domain(X))
| there_exists(X) ),
file(unknown,unknown) ).
tff(f_103,axiom,
! [X] : ( compose(X,domain(X)) = X ),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X,Y,Z] : ( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X,Y] :
( ~ there_exists(compose(X,Y))
| ( domain(X) = codomain(Y) ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X] : ( compose(codomain(X),X) = X ),
file(unknown,unknown) ).
tff(f_159,axiom,
domain(domain(a)) != domain(a),
file(unknown,unknown) ).
tff(c_36,plain,
there_exists(domain(a)),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_42,plain,
! [X_38] :
( there_exists(X_38)
| ~ there_exists(domain(X_38)) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_46,plain,
there_exists(a),
inference(resolution,[status(thm)],[c_36,c_42]) ).
tff(c_20,plain,
! [X_18] : ( compose(X_18,domain(X_18)) = X_18 ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_224,plain,
! [X_61,Y_62,Z_63] : ( compose(compose(X_61,Y_62),Z_63) = compose(X_61,compose(Y_62,Z_63)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_328,plain,
! [X_66,Z_67] : ( compose(X_66,compose(domain(X_66),Z_67)) = compose(X_66,Z_67) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_224]) ).
tff(c_372,plain,
! [X_66] : ( compose(X_66,domain(domain(X_66))) = compose(X_66,domain(X_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_328]) ).
tff(c_382,plain,
! [X_68] : ( compose(X_68,domain(domain(X_68))) = X_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_372]) ).
tff(c_14,plain,
! [X_11,Y_12] :
( ( domain(X_11) = codomain(Y_12) )
| ~ there_exists(compose(X_11,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_495,plain,
! [X_72] :
( ( codomain(domain(domain(X_72))) = domain(X_72) )
| ~ there_exists(X_72) ),
inference(superposition,[status(thm),theory(equality)],[c_382,c_14]) ).
tff(c_22,plain,
! [X_19] : ( compose(codomain(X_19),X_19) = X_19 ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_522,plain,
! [X_72] :
( ( compose(domain(X_72),domain(domain(X_72))) = domain(domain(X_72)) )
| ~ there_exists(X_72) ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_22]) ).
tff(c_538,plain,
! [X_73] :
( ( domain(domain(X_73)) = domain(X_73) )
| ~ there_exists(X_73) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_522]) ).
tff(c_38,plain,
domain(domain(a)) != domain(a),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_589,plain,
~ there_exists(a),
inference(superposition,[status(thm),theory(equality)],[c_538,c_38]) ).
tff(c_610,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT011-3 : 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
% 0.18/0.35 % Computer : n017.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 17:14:51 EDT 2023
% 0.18/0.36 % CPUTime :
% 3.78/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.78/1.89
% 3.78/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.78/1.92
% 3.78/1.92 Inference rules
% 3.78/1.92 ----------------------
% 3.78/1.92 #Ref : 0
% 3.78/1.92 #Sup : 149
% 3.78/1.92 #Fact : 2
% 3.78/1.92 #Define : 0
% 3.78/1.92 #Split : 0
% 3.78/1.92 #Chain : 0
% 3.78/1.92 #Close : 0
% 3.78/1.92
% 3.78/1.92 Ordering : KBO
% 3.78/1.92
% 3.78/1.92 Simplification rules
% 3.78/1.92 ----------------------
% 3.78/1.92 #Subsume : 40
% 3.78/1.92 #Demod : 30
% 3.78/1.92 #Tautology : 51
% 3.78/1.92 #SimpNegUnit : 0
% 3.78/1.92 #BackRed : 0
% 3.78/1.92
% 3.78/1.92 #Partial instantiations: 0
% 3.78/1.92 #Strategies tried : 1
% 3.78/1.92
% 3.78/1.92 Timing (in seconds)
% 3.78/1.92 ----------------------
% 3.78/1.92 Preprocessing : 0.49
% 3.78/1.92 Parsing : 0.25
% 3.78/1.92 CNF conversion : 0.03
% 3.78/1.92 Main loop : 0.38
% 3.78/1.92 Inferencing : 0.16
% 3.78/1.92 Reduction : 0.10
% 3.78/1.92 Demodulation : 0.07
% 3.78/1.92 BG Simplification : 0.02
% 3.78/1.92 Subsumption : 0.08
% 3.78/1.92 Abstraction : 0.02
% 3.78/1.92 MUC search : 0.00
% 3.78/1.92 Cooper : 0.00
% 3.78/1.92 Total : 0.91
% 3.78/1.92 Index Insertion : 0.00
% 3.78/1.92 Index Deletion : 0.00
% 3.78/1.92 Index Matching : 0.00
% 3.78/1.92 BG Taut test : 0.00
%------------------------------------------------------------------------------