TSTP Solution File: CAT011-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT011-3 : 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 0.10s 0.37s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 8 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X))
| there_exists(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
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_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
cnf(assume_domain_exists,hypothesis,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
cnf(19,plain,
there_exists(a),
inference('HYPERRESOLVE',[status(thm)],[domain_has_elements,assume_domain_exists]) ).
cnf(30,plain,
( ~ there_exists(X)
| domain(codomain(X)) = codomain(X) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_codomain,theory(equality)]) ).
cnf(31,plain,
( ~ there_exists(X)
| domain(X) = codomain(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_domain,theory(equality)]) ).
cnf(139,plain,
domain(codomain(domain(a))) = codomain(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[30,assume_domain_exists]) ).
cnf(152,plain,
domain(a) = codomain(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[31,19]) ).
cnf(153,plain,
$false,
inference('REWRITE',[status(thm)],[139,prove_domain_is_idempotent,152,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.06 % Problem : CAT011-3 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n028.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun May 29 15:37:18 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.32 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 *
% 0.10/0.33 *
% 0.10/0.33 #<PACKAGE "SNARK-USER">
% 0.10/0.33 *
% 0.10/0.33 SNARK-TPTP-OPTIONS
% 0.10/0.33 *
% 0.10/0.33 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.33 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.33 (USE-FACTORING :POS)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.33 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.33 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.33 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.33 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.33 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.33 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.33 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.33 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.33 *
% 0.10/0.33 "."
% 0.10/0.33 *
% 0.10/0.33 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:37:18
% 0.10/0.33 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T15:37:18
% 0.10/0.34
% 0.10/0.37 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.10/0.37
% 0.10/0.37 #||
% 0.10/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % SZS output start Refutation
% See solution above
% 0.10/0.37 ||#
% 0.10/0.37
% 0.10/0.37 ; Summary of computation:
% 0.10/0.37 ; 423 formulas have been input or derived (from 43 formulas).
% 0.10/0.37 ; 153 (36%) were retained. Of these,
% 0.10/0.37 ; 38 (25%) were simplified or subsumed later,
% 0.10/0.37 ; 115 (75%) are still being kept.
% 0.10/0.37 ;
% 0.10/0.37 ; Run time in seconds excluding printing time:
% 0.10/0.37 ; 0.002 5% Read assertion file (1 call)
% 0.10/0.37 ; 0.000 0% Assert (19 calls)
% 0.10/0.37 ; 0.006 16% Process new row (352 calls)
% 0.10/0.37 ; 0.005 13% Resolution (84 calls)
% 0.10/0.37 ; 0.001 3% Paramodulation (42 calls)
% 0.10/0.37 ; 0.000 0% Factoring (2 calls)
% 0.10/0.37 ; 0.002 5% Condensing (78 calls)
% 0.10/0.37 ; 0.001 3% Forward subsumption (78 calls)
% 0.10/0.37 ; 0.001 3% Backward subsumption (66 calls)
% 0.10/0.37 ; 0.000 0% Clause clause subsumption (172 calls)
% 0.10/0.37 ; 0.005 13% Forward simplification (348 calls)
% 0.10/0.37 ; 0.002 5% Backward simplification (153 calls)
% 0.10/0.37 ; 0.001 3% Ordering (324 calls)
% 0.10/0.37 ; 0.000 0% Sortal reasoning (32 calls)
% 0.10/0.37 ; 0.000 0% Purity testing (1 call)
% 0.10/0.37 ; 0.012 32% Other
% 0.10/0.37 ; 0.038 Total
% 0.10/0.37 ; 0.039 Real time
% 0.10/0.37 ;
% 0.10/0.37 ; Term-hash-array has 305 terms in all.
% 0.10/0.37 ; Feature-vector-row-index has 58 entries (64 at peak, 66 added, 8 deleted).
% 0.10/0.37 ; Feature-vector-row-index has 174 nodes (190 at peak, 203 added, 29 deleted).
% 0.10/0.37 ; Retrieved 175 possibly forward subsuming rows in 78 calls.
% 0.10/0.37 ; Retrieved 25 possibly backward subsumed rows in 66 calls.
% 0.10/0.37 ; Path-index has 234 entries (289 at peak, 306 added, 72 deleted).
% 0.10/0.37 ; Path-index has 687 nodes (718 at peak, 763 added, 76 deleted).
% 0.10/0.37 ; Trie-index has 234 entries (289 at peak, 306 added, 72 deleted).
% 0.10/0.37 ; Trie-index has 795 nodes (892 at peak, 986 added, 191 deleted).
% 0.10/0.37 ; Retrieved 308 generalization terms in 709 calls.
% 0.10/0.37 ; Retrieved 99 instance terms in 98 calls.
% 0.10/0.37 ; Retrieved 2,484 unifiable terms in 432 calls.
% 0.10/0.37 ;
% 0.10/0.37 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.10/0.37 ; 2 with value 0
% 0.10/0.37 ; The agenda of rows to process has 18 entries:
% 0.10/0.37 ; 1 with value 14 1 with value 19 6 with value 22
% 0.10/0.37 ; 1 with value 15 1 with value 20 4 with value 24
% 0.10/0.37 ; 4 with value 18
% 0.10/0.37 ; The agenda of rows to give has 76 entries:
% 0.10/0.37 ; 1 with value (4 11) 5 with value (4 19) 2 with value (4 29)
% 0.10/0.37 ; 2 with value (4 13) 10 with value (4 20) 2 with value (4 34)
% 0.10/0.37 ; 8 with value (4 14) 2 with value (4 22) 2 with value (4 35)
% 0.10/0.37 ; 14 with value (4 15) 2 with value (4 24) 2 with value (4 36)
% 0.10/0.37 ; 2 with value (4 16) 2 with value (4 26) 4 with value (4 43)
% 0.10/0.37 ; 6 with value (4 17) 2 with value (4 28) 4 with value (4 49)
% 0.10/0.37 ; 4 with value (4 18)
% 0.10/0.37 Evaluation took:
% 0.10/0.37 0.04 seconds of real time
% 0.10/0.37 0.033551 seconds of user run time
% 0.10/0.37 0.005861 seconds of system run time
% 0.10/0.37 0 calls to %EVAL
% 0.10/0.37 0 page faults and
% 0.10/0.37 3,918,840 bytes consed.
% 0.10/0.37 :PROOF-FOUND
% 0.10/0.37 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:37:18
% 0.10/0.37 :PROOF-FOUND
% 0.10/0.37 *
%------------------------------------------------------------------------------