TSTP Solution File: CAT010-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 0.42s 0.59s
% Output : Refutation 0.42s
% 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(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(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_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(ab_exists,hypothesis,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
cnf(prove_codomain_of_ab_equals_codomain_of_a,negated_conjecture,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
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(22,plain,
( ~ there_exists(X)
| domain(codomain(X)) = codomain(X) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_codomain,theory(equality)]) ).
cnf(25,plain,
compose(codomain(X),compose(X,Y)) = compose(X,Y),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,compose_codomain,theory(equality)]) ).
cnf(40,plain,
there_exists(a),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[domain_has_elements,20,theory(equality)]),21]) ).
cnf(83,plain,
domain(codomain(a)) = codomain(a),
inference('HYPERRESOLVE',[status(thm)],[22,40]) ).
cnf(134,plain,
( ~ there_exists(compose(X,Y))
| domain(codomain(X)) = codomain(compose(X,Y)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,25,theory(equality)]) ).
cnf(254,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,ab_exists]),prove_codomain_of_ab_equals_codomain_of_a,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 17:56:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:56:49
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T17:56:49
% 0.19/0.48
% 0.42/0.59 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 1165 formulas have been input or derived (from 88 formulas).
% 0.42/0.59 ; 254 (22%) were retained. Of these,
% 0.42/0.59 ; 61 (24%) were simplified or subsumed later,
% 0.42/0.59 ; 193 (76%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds:
% 0.42/0.59 ; 0.003 2% Read assertion file (1 call)
% 0.42/0.59 ; 0.000 0% Assert (13 calls)
% 0.42/0.59 ; 0.023 19% Process new row (992 calls)
% 0.42/0.59 ; 0.011 9% Resolution (174 calls)
% 0.42/0.59 ; 0.011 9% Paramodulation (87 calls)
% 0.42/0.59 ; 0.001 1% Condensing (209 calls)
% 0.42/0.59 ; 0.003 2% Forward subsumption (209 calls)
% 0.42/0.59 ; 0.004 3% Backward subsumption (107 calls)
% 0.42/0.59 ; 0.000 0% Clause clause subsumption (552 calls)
% 0.42/0.59 ; 0.029 23% Forward simplification (982 calls)
% 0.42/0.59 ; 0.004 3% Backward simplification (254 calls)
% 0.42/0.59 ; 0.006 5% Ordering (1,156 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.029 23% Other
% 0.42/0.59 ; 0.124 Total
% 0.42/0.59 ; 0.125 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 511 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 102 entries (102 at peak, 107 added, 5 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 551 nodes (551 at peak, 609 added, 58 deleted).
% 0.42/0.59 ; Retrieved 768 possibly forward subsuming rows in 209 calls.
% 0.42/0.59 ; Retrieved 19 possibly backward subsumed rows in 107 calls.
% 0.42/0.59 ; Path-index has 412 entries (412 at peak, 513 added, 101 deleted).
% 0.42/0.59 ; Path-index has 943 nodes (943 at peak, 1,089 added, 146 deleted).
% 0.42/0.59 ; Trie-index has 412 entries (412 at peak, 513 added, 101 deleted).
% 0.42/0.59 ; Trie-index has 1,304 nodes (1,325 at peak, 1,667 added, 363 deleted).
% 0.42/0.59 ; Retrieved 2,043 generalization terms in 5,027 calls.
% 0.42/0.59 ; Retrieved 159 instance terms in 158 calls.
% 0.42/0.59 ; Retrieved 3,817 unifiable terms in 1,000 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 19 entries:
% 0.42/0.59 ; 2 with value 15 1 with value 20 2 with value 24
% 0.42/0.59 ; 1 with value 16 2 with value 21 1 with value 25
% 0.42/0.59 ; 1 with value 17 5 with value 22 1 with value 26
% 0.42/0.59 ; 1 with value 19 1 with value 23 1 with value 28
% 0.42/0.59 ; The agenda of rows to give has 116 entries:
% 0.42/0.59 ; 5 with value (4 19) 10 with value (4 23) 4 with value (4 27)
% 0.42/0.59 ; 24 with value (4 20) 17 with value (4 24) 2 with value (4 28)
% 0.42/0.59 ; 17 with value (4 21) 10 with value (4 25) 1 with value (4 31)
% 0.42/0.59 ; 19 with value (4 22) 7 with value (4 26)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.125 seconds of real time
% 0.42/0.59 0.110331 seconds of user run time
% 0.42/0.59 0.014869 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 7,087,384 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:56:49
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------