TSTP Solution File: CAT017-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT017-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 00:07:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 1 equ; 5 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 : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X))
| there_exists(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(assume_a_exists,hypothesis,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_a_exists) ).
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_exists) ).
cnf(15,plain,
~ there_exists(domain(codomain(a))),
inference('UR-RESOLVE',[status(thm)],[domain_has_elements,prove_codomain_of_a_exists]) ).
cnf(35,plain,
~ there_exists(compose(codomain(a),X)),
inference('UR-RESOLVE',[status(thm)],[composition_implies_domain,15]) ).
cnf(45,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[35,compose_codomain,theory(equality)]),assume_a_exists]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT017-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 16:51:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:51:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-29T16:51:54
% 0.20/0.48
% 0.20/0.51 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 79 formulas have been input or derived (from 21 formulas).
% 0.20/0.51 ; 45 (57%) were retained. Of these,
% 0.20/0.51 ; 45 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds:
% 0.20/0.51 ; 0.003 8% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (13 calls)
% 0.20/0.51 ; 0.003 8% Process new row (68 calls)
% 0.20/0.51 ; 0.001 3% Resolution (40 calls)
% 0.20/0.51 ; 0.002 6% Paramodulation (20 calls)
% 0.20/0.51 ; 0.000 0% Condensing (16 calls)
% 0.20/0.51 ; 0.001 3% Forward subsumption (16 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (16 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (68 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (45 calls)
% 0.20/0.51 ; 0.002 6% Ordering (105 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 58% Other
% 0.20/0.51 ; 0.036 Total
% 0.20/0.51 ; 0.038 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 82 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.20/0.51 ; Retrieved 11 possibly forward subsuming rows in 16 calls.
% 0.20/0.51 ; Retrieved 2 possibly backward subsumed rows in 16 calls.
% 0.20/0.51 ; Path-index has 83 entries (83 at peak, 83 added, 0 deleted).
% 0.20/0.51 ; Path-index has 210 nodes (210 at peak, 210 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 83 entries (83 at peak, 83 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 246 nodes (246 at peak, 246 added, 0 deleted).
% 0.20/0.51 ; Retrieved 75 generalization terms in 142 calls.
% 0.20/0.51 ; Retrieved 41 instance terms in 40 calls.
% 0.20/0.51 ; Retrieved 275 unifiable terms in 136 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 5 entries:
% 0.20/0.51 ; 1 with value 8 2 with value 13 1 with value 14
% 0.20/0.51 ; 1 with value 12
% 0.20/0.51 ; The agenda of rows to give has 24 entries:
% 0.20/0.51 ; 4 with value (4 10) 2 with value (4 14) 1 with value (4 18)
% 0.20/0.51 ; 5 with value (4 11) 3 with value (4 15) 7 with value (4 20)
% 0.20/0.51 ; 2 with value (4 13)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.038 seconds of real time
% 0.20/0.51 0.032771 seconds of user run time
% 0.20/0.51 0.004808 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,989,824 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:51:54
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
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