TSTP Solution File: CAT013-4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT013-4 : 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 00:07:09 EDT 2022
% Result : Unsatisfiable 0.35s 0.53s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 3 equ; 3 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 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(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_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(assume_codomain_exists,hypothesis,
there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
cnf(prove_domain_of_codomain_is_codomain,negated_conjecture,
domain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).
cnf(14,plain,
there_exists(a),
inference('HYPERRESOLVE',[status(thm)],[codomain_has_elements,assume_codomain_exists]) ).
cnf(20,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[domain_codomain_composition1,prove_domain_of_codomain_is_codomain]),14,compose_codomain,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CAT013-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun May 29 19:50:56 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:50:56
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T19:50:56
% 0.20/0.51
% 0.35/0.53 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.35/0.53
% 0.35/0.53 #||
% 0.35/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.53 % SZS output start Refutation
% See solution above
% 0.35/0.53 ||#
% 0.35/0.53
% 0.35/0.53 ; Summary of computation:
% 0.35/0.53 ; 30 formulas have been input or derived (from 12 formulas).
% 0.35/0.53 ; 20 (67%) were retained. Of these,
% 0.35/0.53 ; 20 (100%) are still being kept.
% 0.35/0.53 ;
% 0.35/0.53 ; Run time in seconds excluding printing time:
% 0.35/0.53 ; 0.003 10% Read assertion file (1 call)
% 0.35/0.53 ; 0.001 3% Assert (13 calls)
% 0.35/0.53 ; 0.001 3% Process new row (26 calls)
% 0.35/0.53 ; 0.000 0% Resolution (22 calls)
% 0.35/0.53 ; 0.000 0% Paramodulation (11 calls)
% 0.35/0.53 ; 0.001 3% Condensing (10 calls)
% 0.35/0.53 ; 0.000 0% Forward subsumption (10 calls)
% 0.35/0.53 ; 0.000 0% Backward subsumption (10 calls)
% 0.35/0.53 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.35/0.53 ; 0.002 7% Forward simplification (26 calls)
% 0.35/0.53 ; 0.000 0% Backward simplification (20 calls)
% 0.35/0.53 ; 0.000 0% Ordering (21 calls)
% 0.35/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.35/0.53 ; 0.000 0% Purity testing (1 call)
% 0.35/0.53 ; 0.022 73% Other
% 0.35/0.53 ; 0.030 Total
% 0.35/0.53 ; 0.032 Real time
% 0.35/0.53 ;
% 0.35/0.53 ; Term-hash-array has 29 terms in all.
% 0.35/0.53 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.35/0.53 ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 0.35/0.53 ; Retrieved 3 possibly forward subsuming rows in 10 calls.
% 0.35/0.53 ; Retrieved 1 possibly backward subsumed row in 10 calls.
% 0.35/0.53 ; Path-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.35/0.53 ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.35/0.53 ; Trie-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.35/0.53 ; Trie-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.35/0.53 ; Retrieved 12 generalization terms in 26 calls.
% 0.35/0.53 ; Retrieved 11 instance terms in 11 calls.
% 0.35/0.53 ; Retrieved 116 unifiable terms in 60 calls.
% 0.35/0.53 ;
% 0.35/0.53 ; The agenda of rows to process has 2 entries:
% 0.35/0.53 ; 2 with value 13
% 0.35/0.53 ; The agenda of input rows to give has 2 entries:
% 0.35/0.53 ; 1 with value 14 1 with value 18
% 0.35/0.53 ; The agenda of rows to give has 6 entries:
% 0.35/0.53 ; 1 with value (4 4) 1 with value (4 9) 1 with value (4 11)
% 0.35/0.53 ; 1 with value (4 8) 2 with value (4 10)
% 0.35/0.53 Evaluation took:
% 0.35/0.53 0.032 seconds of real time
% 0.35/0.53 0.025134 seconds of user run time
% 0.35/0.53 0.007027 seconds of system run time
% 0.35/0.53 0 calls to %EVAL
% 0.35/0.53 0 page faults and
% 0.35/0.53 1,698,488 bytes consed.
% 0.35/0.53 :PROOF-FOUND
% 0.35/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:50:56
% 0.35/0.53 :PROOF-FOUND
% 0.35/0.53 *
%------------------------------------------------------------------------------