TSTP Solution File: CAT012-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT012-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : 600s
% DateTime : Fri Jul 15 00:07:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(assume_domain_exists,hypothesis,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
cnf(19,plain,
there_exists(a),
inference('HYPERRESOLVE',[status(thm)],[domain_has_elements,assume_domain_exists]) ).
cnf(30,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[domain_codomain_composition1,prove_codomain_of_domain_is_domain]),19,compose_domain,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 15:47:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T15:47:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T15:47:11
% 0.19/0.48
% 0.19/0.50 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 43 formulas have been input or derived (from 15 formulas).
% 0.19/0.50 ; 30 (70%) were retained. Of these,
% 0.19/0.50 ; 30 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds:
% 0.19/0.50 ; 0.004 12% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (19 calls)
% 0.19/0.50 ; 0.002 6% Process new row (39 calls)
% 0.19/0.50 ; 0.001 3% Resolution (28 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (14 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.000 0% Condensing (21 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (21 calls)
% 0.19/0.50 ; 0.001 3% Backward subsumption (18 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (11 calls)
% 0.19/0.50 ; 0.002 6% Forward simplification (39 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (30 calls)
% 0.19/0.50 ; 0.000 0% Ordering (28 calls)
% 0.19/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.020 62% Other
% 0.19/0.50 ; 0.032 Total
% 0.19/0.50 ; 0.033 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 41 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.19/0.50 ; Retrieved 8 possibly forward subsuming rows in 21 calls.
% 0.19/0.50 ; Retrieved 3 possibly backward subsumed rows in 18 calls.
% 0.19/0.50 ; Path-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.19/0.50 ; Path-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 122 nodes (122 at peak, 122 added, 0 deleted).
% 0.19/0.50 ; Retrieved 12 generalization terms in 49 calls.
% 0.19/0.50 ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.50 ; Retrieved 192 unifiable terms in 72 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.50 ; 2 with value 13
% 0.19/0.50 ; The agenda of input rows to give has 4 entries:
% 0.19/0.50 ; 1 with value 14 3 with value 18
% 0.19/0.50 ; The agenda of rows to give has 11 entries:
% 0.19/0.50 ; 1 with value (4 4) 2 with value (4 10) 2 with value (4 12)
% 0.19/0.50 ; 1 with value (4 8) 2 with value (4 11) 1 with value (4 14)
% 0.19/0.50 ; 2 with value (4 9)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.033 seconds of real time
% 0.19/0.50 0.02521 seconds of user run time
% 0.19/0.50 0.008388 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,825,592 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T15:47:11
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
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