TSTP Solution File: CAT006-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT006-4 : 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 00:07:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 5 equ; 6 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(domain_has_elements,axiom,
( ~ there_exists(domain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(da_exists,hypothesis,
there_exists(compose(d,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',da_exists) ).
cnf(dx_equals_x,hypothesis,
( ~ there_exists(compose(d,X))
| compose(d,X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dx_equals_x) ).
cnf(prove_codomain_of_a_is_d,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
cnf(19,plain,
there_exists(domain(d)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_domain,da_exists]) ).
cnf(22,plain,
domain(d) = codomain(a),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,da_exists]) ).
cnf(23,plain,
there_exists(codomain(a)),
inference('REWRITE',[status(thm)],[19,22,theory(equality)]) ).
cnf(30,plain,
~ there_exists(d),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[dx_equals_x,compose_domain,theory(equality)]),prove_codomain_of_a_is_d,22,theory(equality)]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[domain_has_elements,30]),23,22,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT006-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 17:54:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:54:11
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T17:54:11
% 0.19/0.49
% 0.19/0.52 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 69 formulas have been input or derived (from 18 formulas).
% 0.19/0.52 ; 48 (70%) were retained. Of these,
% 0.19/0.52 ; 5 (10%) were simplified or subsumed later,
% 0.19/0.52 ; 43 (90%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.004 11% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (15 calls)
% 0.19/0.52 ; 0.003 8% Process new row (64 calls)
% 0.19/0.52 ; 0.001 3% Resolution (34 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (17 calls)
% 0.19/0.52 ; 0.000 0% Condensing (21 calls)
% 0.19/0.52 ; 0.001 3% Forward subsumption (21 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (21 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.19/0.52 ; 0.004 11% Forward simplification (64 calls)
% 0.19/0.52 ; 0.001 3% Backward simplification (48 calls)
% 0.19/0.52 ; 0.002 6% Ordering (112 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.020 56% Other
% 0.19/0.52 ; 0.036 Total
% 0.19/0.52 ; 0.038 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 88 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 20 entries (20 at peak, 21 added, 1 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 59 nodes (59 at peak, 68 added, 9 deleted).
% 0.19/0.52 ; Retrieved 13 possibly forward subsuming rows in 21 calls.
% 0.19/0.52 ; Retrieved 4 possibly backward subsumed rows in 21 calls.
% 0.19/0.52 ; Path-index has 85 entries (85 at peak, 91 added, 6 deleted).
% 0.19/0.52 ; Path-index has 202 nodes (202 at peak, 211 added, 9 deleted).
% 0.19/0.52 ; Trie-index has 85 entries (85 at peak, 91 added, 6 deleted).
% 0.19/0.52 ; Trie-index has 247 nodes (247 at peak, 261 added, 14 deleted).
% 0.19/0.52 ; Retrieved 75 generalization terms in 175 calls.
% 0.19/0.52 ; Retrieved 40 instance terms in 38 calls.
% 0.19/0.52 ; Retrieved 237 unifiable terms in 106 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to give has 26 entries:
% 0.19/0.52 ; 1 with value (4 5) 1 with value (4 9) 3 with value (4 15)
% 0.19/0.52 ; 2 with value (4 6) 1 with value (4 11) 1 with value (4 18)
% 0.19/0.52 ; 2 with value (4 7) 2 with value (4 13) 7 with value (4 20)
% 0.19/0.52 ; 2 with value (4 8) 2 with value (4 14) 2 with value (4 22)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.039 seconds of real time
% 0.19/0.52 0.030207 seconds of user run time
% 0.19/0.52 0.008236 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,300,624 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:54:11
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------