TSTP Solution File: CAT005-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.18s 0.49s
% Output : Refutation 0.18s
% 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/CAT003-0.ax',codomain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.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(27,plain,
there_exists(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_domain,ad_exists]) ).
cnf(33,plain,
domain(a) = codomain(d),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,ad_exists]) ).
cnf(34,plain,
codomain(d) != d,
inference('REWRITE',[status(thm)],[prove_domain_of_a_is_d,33,theory(equality)]) ).
cnf(39,plain,
there_exists(codomain(d)),
inference('REWRITE',[status(thm)],[27,33,theory(equality)]) ).
cnf(45,plain,
~ there_exists(d),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[xd_equals_x,compose_codomain,theory(equality)]),34]) ).
cnf(74,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[codomain_has_elements,45]),39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun May 29 20:43:51 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T20:43:51
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T20:43:51
% 0.18/0.46
% 0.18/0.49 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 115 formulas have been input or derived (from 24 formulas).
% 0.18/0.49 ; 74 (64%) were retained. Of these,
% 0.18/0.49 ; 10 (14%) were simplified or subsumed later,
% 0.18/0.49 ; 64 (86%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.004 9% Read assertion file (1 call)
% 0.18/0.49 ; 0.001 2% Assert (21 calls)
% 0.18/0.49 ; 0.005 11% Process new row (105 calls)
% 0.18/0.49 ; 0.001 2% Resolution (46 calls)
% 0.18/0.49 ; 0.001 2% Paramodulation (23 calls)
% 0.18/0.49 ; 0.000 0% Factoring (2 calls)
% 0.18/0.49 ; 0.001 2% Condensing (42 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (42 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (38 calls)
% 0.18/0.49 ; 0.000 0% Clause clause subsumption (56 calls)
% 0.18/0.49 ; 0.005 11% Forward simplification (105 calls)
% 0.18/0.49 ; 0.001 2% Backward simplification (74 calls)
% 0.18/0.49 ; 0.004 9% Ordering (198 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.021 48% Other
% 0.18/0.49 ; 0.044 Total
% 0.18/0.49 ; 0.046 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 131 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.18/0.49 ; Retrieved 43 possibly forward subsuming rows in 42 calls.
% 0.18/0.49 ; Retrieved 13 possibly backward subsumed rows in 38 calls.
% 0.18/0.49 ; Path-index has 121 entries (122 at peak, 133 added, 12 deleted).
% 0.18/0.49 ; Path-index has 293 nodes (295 at peak, 314 added, 21 deleted).
% 0.18/0.49 ; Trie-index has 121 entries (122 at peak, 133 added, 12 deleted).
% 0.18/0.49 ; Trie-index has 326 nodes (330 at peak, 359 added, 33 deleted).
% 0.18/0.49 ; Retrieved 81 generalization terms in 250 calls.
% 0.18/0.49 ; Retrieved 50 instance terms in 47 calls.
% 0.18/0.49 ; Retrieved 569 unifiable terms in 149 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 1 entry:
% 0.18/0.49 ; 1 with value 7
% 0.18/0.49 ; The agenda of rows to give has 42 entries:
% 0.18/0.49 ; 1 with value (4 5) 2 with value (4 11) 4 with value (4 19)
% 0.18/0.49 ; 4 with value (4 6) 2 with value (4 13) 7 with value (4 20)
% 0.18/0.49 ; 2 with value (4 8) 3 with value (4 14) 2 with value (4 22)
% 0.18/0.49 ; 4 with value (4 9) 6 with value (4 15) 2 with value (4 34)
% 0.18/0.49 ; 1 with value (4 10) 2 with value (4 18)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.047 seconds of real time
% 0.18/0.49 0.035881 seconds of user run time
% 0.18/0.49 0.010657 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,661,608 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T20:43:51
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------