TSTP Solution File: CAT009-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 00:07:08 EDT 2022
% Result : Unsatisfiable 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 21 ( 9 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 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 : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/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/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(associativity_of_compose,axiom,
compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(ab_exists,hypothesis,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
cnf(prove_domain_of_ab_equals_domain_of_b,negated_conjecture,
domain(compose(a,b)) != domain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_ab_equals_domain_of_b) ).
cnf(17,plain,
there_exists(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_domain,ab_exists]) ).
cnf(20,plain,
domain(a) = codomain(b),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,ab_exists]) ).
cnf(21,plain,
there_exists(codomain(b)),
inference('REWRITE',[status(thm)],[17,20,theory(equality)]) ).
cnf(23,plain,
( ~ there_exists(X)
| domain(X) = codomain(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_domain,theory(equality)]) ).
cnf(24,plain,
compose(X,Y) = compose(compose(X,Y),domain(Y)),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,compose_domain,theory(equality)]) ).
cnf(37,plain,
there_exists(b),
inference('HYPERRESOLVE',[status(thm)],[codomain_has_elements,21]) ).
cnf(108,plain,
domain(b) = codomain(domain(b)),
inference('HYPERRESOLVE',[status(thm)],[23,37]) ).
cnf(120,plain,
( ~ there_exists(compose(X,Y))
| domain(compose(X,Y)) = codomain(domain(Y)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,24,theory(equality)]) ).
cnf(241,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[120,ab_exists]),prove_domain_of_ab_equals_domain_of_b,108,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 19:43:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:43:09
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-29T19:43:09
% 0.18/0.47
% 0.40/0.58 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 1081 formulas have been input or derived (from 85 formulas).
% 0.40/0.58 ; 241 (22%) were retained. Of these,
% 0.40/0.58 ; 49 (20%) were simplified or subsumed later,
% 0.40/0.58 ; 192 (80%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.003 2% Read assertion file (1 call)
% 0.40/0.58 ; 0.001 1% Assert (13 calls)
% 0.40/0.58 ; 0.021 18% Process new row (914 calls)
% 0.40/0.58 ; 0.007 6% Resolution (168 calls)
% 0.40/0.58 ; 0.013 11% Paramodulation (84 calls)
% 0.40/0.58 ; 0.004 3% Condensing (178 calls)
% 0.40/0.58 ; 0.009 8% Forward subsumption (178 calls)
% 0.40/0.58 ; 0.002 2% Backward subsumption (98 calls)
% 0.40/0.58 ; 0.001 1% Clause clause subsumption (471 calls)
% 0.40/0.58 ; 0.019 16% Forward simplification (904 calls)
% 0.40/0.58 ; 0.006 5% Backward simplification (241 calls)
% 0.40/0.58 ; 0.010 8% Ordering (1,035 calls)
% 0.40/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.024 20% Other
% 0.40/0.58 ; 0.120 Total
% 0.40/0.58 ; 0.122 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 481 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 553 nodes (553 at peak, 553 added, 0 deleted).
% 0.40/0.58 ; Retrieved 646 possibly forward subsuming rows in 178 calls.
% 0.40/0.58 ; Retrieved 17 possibly backward subsumed rows in 98 calls.
% 0.40/0.58 ; Path-index has 408 entries (408 at peak, 483 added, 75 deleted).
% 0.40/0.58 ; Path-index has 915 nodes (915 at peak, 1,028 added, 113 deleted).
% 0.40/0.58 ; Trie-index has 408 entries (408 at peak, 483 added, 75 deleted).
% 0.40/0.58 ; Trie-index has 1,333 nodes (1,333 at peak, 1,575 added, 242 deleted).
% 0.40/0.58 ; Retrieved 1,875 generalization terms in 4,518 calls.
% 0.40/0.58 ; Retrieved 155 instance terms in 154 calls.
% 0.40/0.58 ; Retrieved 3,593 unifiable terms in 969 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 18 entries:
% 0.40/0.58 ; 1 with value 15 1 with value 20 1 with value 25
% 0.40/0.58 ; 1 with value 16 5 with value 22 2 with value 26
% 0.40/0.58 ; 2 with value 17 2 with value 23 1 with value 28
% 0.40/0.58 ; 1 with value 19 1 with value 24
% 0.40/0.58 ; The agenda of rows to give has 114 entries:
% 0.40/0.58 ; 7 with value (4 19) 10 with value (4 23) 6 with value (4 27)
% 0.40/0.58 ; 23 with value (4 20) 14 with value (4 24) 1 with value (4 29)
% 0.40/0.58 ; 18 with value (4 21) 10 with value (4 25) 1 with value (4 31)
% 0.40/0.58 ; 18 with value (4 22) 6 with value (4 26)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.122 seconds of real time
% 0.40/0.58 0.100986 seconds of user run time
% 0.40/0.58 0.021261 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 6,584,312 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:43:10
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------