TSTP Solution File: CAT016-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT016-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 00:07:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 1 equ; 3 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(assume_a_exists,hypothesis,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_a_exists) ).
cnf(prove_domain_of_a_exists,negated_conjecture,
~ there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_exists) ).
cnf(18,plain,
~ there_exists(compose(a,X)),
inference('UR-RESOLVE',[status(thm)],[composition_implies_domain,prove_domain_of_a_exists]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,compose_domain,theory(equality)]),assume_a_exists]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT016-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.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 23:26:10 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 2022-05-29T23:26:11
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T23:26:11
% 0.20/0.48
% 0.20/0.50 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 59 formulas have been input or derived (from 17 formulas).
% 0.20/0.50 ; 36 (61%) were retained. Of these,
% 0.20/0.50 ; 36 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds:
% 0.20/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (13 calls)
% 0.20/0.50 ; 0.003 9% Process new row (50 calls)
% 0.20/0.50 ; 0.000 0% Resolution (32 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (16 calls)
% 0.20/0.50 ; 0.000 0% Condensing (16 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (16 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (16 calls)
% 0.20/0.50 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.20/0.50 ; 0.001 3% Forward simplification (50 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (36 calls)
% 0.20/0.50 ; 0.003 9% Ordering (104 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.022 67% Other
% 0.20/0.50 ; 0.033 Total
% 0.20/0.50 ; 0.034 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 67 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.20/0.50 ; Retrieved 11 possibly forward subsuming rows in 16 calls.
% 0.20/0.50 ; Retrieved 2 possibly backward subsumed rows in 16 calls.
% 0.20/0.50 ; Path-index has 68 entries (68 at peak, 68 added, 0 deleted).
% 0.20/0.50 ; Path-index has 179 nodes (179 at peak, 179 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 68 entries (68 at peak, 68 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 213 nodes (213 at peak, 213 added, 0 deleted).
% 0.20/0.50 ; Retrieved 61 generalization terms in 116 calls.
% 0.20/0.50 ; Retrieved 32 instance terms in 31 calls.
% 0.20/0.50 ; Retrieved 190 unifiable terms in 96 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 4 entries:
% 0.20/0.50 ; 1 with value 9 2 with value 10 1 with value 11
% 0.20/0.50 ; The agenda of rows to give has 19 entries:
% 0.20/0.50 ; 2 with value (4 8) 2 with value (4 13) 1 with value (4 18)
% 0.20/0.50 ; 1 with value (4 9) 2 with value (4 14) 7 with value (4 20)
% 0.20/0.50 ; 1 with value (4 11) 3 with value (4 15)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.035 seconds of real time
% 0.20/0.50 0.029202 seconds of user run time
% 0.20/0.50 0.005383 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 1,805,864 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T23:26:11
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------