TSTP Solution File: CAT011-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 8 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 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 : 7 ( 0 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(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(assume_domain_exists,hypothesis,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
cnf(14,plain,
there_exists(a),
inference('HYPERRESOLVE',[status(thm)],[domain_has_elements,assume_domain_exists]) ).
cnf(20,plain,
( ~ there_exists(X)
| domain(codomain(X)) = codomain(X) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_codomain,theory(equality)]) ).
cnf(21,plain,
( ~ there_exists(X)
| domain(X) = codomain(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_domain,theory(equality)]) ).
cnf(61,plain,
domain(codomain(domain(a))) = codomain(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[20,assume_domain_exists]) ).
cnf(82,plain,
domain(a) = codomain(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[21,14]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[61,prove_domain_is_idempotent,82,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 17:09:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T17:09:28
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-29T17:09:28
% 0.20/0.50
% 0.20/0.53 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 249 formulas have been input or derived (from 34 formulas).
% 0.20/0.53 ; 83 (33%) were retained. Of these,
% 0.20/0.53 ; 22 (27%) were simplified or subsumed later,
% 0.20/0.53 ; 61 (73%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.003 7% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (13 calls)
% 0.20/0.53 ; 0.005 11% Process new row (185 calls)
% 0.20/0.53 ; 0.004 9% Resolution (66 calls)
% 0.20/0.53 ; 0.001 2% Paramodulation (33 calls)
% 0.20/0.53 ; 0.000 0% Condensing (17 calls)
% 0.20/0.53 ; 0.001 2% Forward subsumption (17 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (17 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.20/0.53 ; 0.003 7% Forward simplification (180 calls)
% 0.20/0.53 ; 0.004 9% Backward simplification (83 calls)
% 0.20/0.53 ; 0.000 0% Ordering (121 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.023 51% Other
% 0.20/0.53 ; 0.045 Total
% 0.20/0.53 ; 0.046 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 144 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 53 nodes (53 at peak, 53 added, 0 deleted).
% 0.20/0.53 ; Retrieved 11 possibly forward subsuming rows in 17 calls.
% 0.20/0.53 ; Retrieved 2 possibly backward subsumed rows in 17 calls.
% 0.20/0.53 ; Path-index has 111 entries (119 at peak, 145 added, 34 deleted).
% 0.20/0.53 ; Path-index has 334 nodes (344 at peak, 373 added, 39 deleted).
% 0.20/0.53 ; Trie-index has 111 entries (119 at peak, 145 added, 34 deleted).
% 0.20/0.53 ; Trie-index has 372 nodes (390 at peak, 455 added, 83 deleted).
% 0.20/0.53 ; Retrieved 200 generalization terms in 397 calls.
% 0.20/0.53 ; Retrieved 78 instance terms in 77 calls.
% 0.20/0.53 ; Retrieved 824 unifiable terms in 333 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.20/0.53 ; 2 with value 0
% 0.20/0.53 ; The agenda of rows to process has 9 entries:
% 0.20/0.53 ; 1 with value 14 1 with value 18 1 with value 20
% 0.20/0.53 ; 1 with value 16 1 with value 19 4 with value 22
% 0.20/0.53 ; The agenda of rows to give has 31 entries:
% 0.20/0.53 ; 1 with value (4 11) 1 with value (4 16) 9 with value (4 20)
% 0.20/0.53 ; 1 with value (4 13) 2 with value (4 17) 2 with value (4 22)
% 0.20/0.53 ; 4 with value (4 14) 3 with value (4 18) 1 with value (4 23)
% 0.20/0.53 ; 7 with value (4 15)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.047 seconds of real time
% 0.20/0.53 0.036994 seconds of user run time
% 0.20/0.53 0.009997 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 2,665,776 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T17:09:28
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------