TSTP Solution File: CAT005-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 00:07:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 17 ( 6 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X))
| there_exists(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',codomain_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(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_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(ad_exists,hypothesis,
there_exists(compose(a,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_exists) ).
cnf(xd_equals_x,hypothesis,
( ~ there_exists(compose(X,d))
| compose(X,d) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xd_equals_x) ).
cnf(prove_domain_of_a_is_d,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
cnf(19,plain,
there_exists(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_domain,ad_exists]) ).
cnf(22,plain,
domain(a) = codomain(d),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,ad_exists]) ).
cnf(23,plain,
codomain(d) != d,
inference('REWRITE',[status(thm)],[prove_domain_of_a_is_d,22,theory(equality)]) ).
cnf(26,plain,
there_exists(codomain(d)),
inference('REWRITE',[status(thm)],[19,22,theory(equality)]) ).
cnf(32,plain,
~ there_exists(d),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[xd_equals_x,compose_codomain,theory(equality)]),23]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[codomain_has_elements,32]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n029.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 18:00:58 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 2022-05-29T18:00:58
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-29T18:00:58
% 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 ; 74 formulas have been input or derived (from 19 formulas).
% 0.20/0.51 ; 50 (68%) were retained. Of these,
% 0.20/0.51 ; 7 (14%) were simplified or subsumed later,
% 0.20/0.51 ; 43 (86%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (15 calls)
% 0.20/0.51 ; 0.005 14% Process new row (68 calls)
% 0.20/0.51 ; 0.001 3% Resolution (36 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (18 calls)
% 0.20/0.51 ; 0.000 0% Condensing (20 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (20 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (20 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (68 calls)
% 0.20/0.51 ; 0.002 6% Backward simplification (50 calls)
% 0.20/0.51 ; 0.001 3% Ordering (112 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 ; 0.022 63% Other
% 0.20/0.51 ; 0.035 Total
% 0.20/0.51 ; 0.036 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 90 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.20/0.51 ; Retrieved 13 possibly forward subsuming rows in 20 calls.
% 0.20/0.51 ; Retrieved 4 possibly backward subsumed rows in 20 calls.
% 0.20/0.51 ; Path-index has 85 entries (86 at peak, 92 added, 7 deleted).
% 0.20/0.51 ; Path-index has 206 nodes (207 at peak, 218 added, 12 deleted).
% 0.20/0.51 ; Trie-index has 85 entries (86 at peak, 92 added, 7 deleted).
% 0.20/0.51 ; Trie-index has 253 nodes (255 at peak, 271 added, 18 deleted).
% 0.20/0.51 ; Retrieved 75 generalization terms in 178 calls.
% 0.20/0.51 ; Retrieved 43 instance terms in 41 calls.
% 0.20/0.51 ; Retrieved 256 unifiable terms in 113 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 7
% 0.20/0.51 ; The agenda of rows to give has 26 entries:
% 0.20/0.51 ; 1 with value (4 5) 1 with value (4 10) 3 with value (4 15)
% 0.20/0.51 ; 2 with value (4 6) 1 with value (4 11) 1 with value (4 18)
% 0.20/0.51 ; 1 with value (4 7) 2 with value (4 13) 7 with value (4 20)
% 0.20/0.51 ; 2 with value (4 8) 2 with value (4 14) 2 with value (4 22)
% 0.20/0.51 ; 1 with value (4 9)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.037 seconds of real time
% 0.20/0.51 0.030649 seconds of user run time
% 0.20/0.51 0.005989 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 2,346,304 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T18:00:58
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
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