TSTP Solution File: CAT014-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_is_an_identity_map,axiom,
identity_map(codomain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(mapping_from_codomain_of_x_to_x,axiom,
defined(codomain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
cnf(product_on_codomain,axiom,
product(codomain(X),X,X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(identity2,axiom,
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(composition_is_well_defined,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(prove_codomain_is_idempotent,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
cnf(24,plain,
product(codomain(codomain(X)),codomain(X),codomain(codomain(X))),
inference('HYPERRESOLVE',[status(thm)],[identity2,mapping_from_codomain_of_x_to_x,codomain_is_an_identity_map]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[composition_is_well_defined,product_on_codomain,prove_codomain_is_idempotent]),24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : CAT014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun May 29 15:45:11 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.35 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 *
% 0.12/0.36 *
% 0.12/0.36 #<PACKAGE "SNARK-USER">
% 0.12/0.36 *
% 0.12/0.36 SNARK-TPTP-OPTIONS
% 0.12/0.36 *
% 0.12/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.36 (USE-FACTORING :POS)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.36 *
% 0.12/0.36 "."
% 0.12/0.36 *
% 0.12/0.36 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:45:11
% 0.12/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-29T15:45:11
% 0.12/0.37
% 0.12/0.37 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.12/0.37 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.12/0.38 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.12/0.38
% 0.12/0.38 #||
% 0.12/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % SZS output start Refutation
% See solution above
% 0.12/0.38 ||#
% 0.12/0.38
% 0.12/0.38 ; Summary of computation:
% 0.12/0.38 ; 67 formulas have been input or derived (from 15 formulas).
% 0.12/0.38 ; 31 (46%) were retained. Of these,
% 0.12/0.38 ; 31 (100%) are still being kept.
% 0.12/0.38 ;
% 0.12/0.38 ; Run time in seconds:
% 0.12/0.38 ; 0.003 13% Read assertion file (1 call)
% 0.12/0.38 ; 0.000 0% Assert (19 calls)
% 0.12/0.38 ; 0.002 9% Process new row (52 calls)
% 0.12/0.38 ; 0.001 4% Resolution (28 calls)
% 0.12/0.38 ; 0.000 0% Paramodulation (14 calls)
% 0.12/0.38 ; 0.000 0% Condensing (12 calls)
% 0.12/0.39 ; 0.000 0% Forward subsumption (12 calls)
% 0.12/0.39 ; 0.000 0% Backward subsumption (12 calls)
% 0.12/0.39 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.12/0.39 ; 0.000 0% Forward simplification (52 calls)
% 0.12/0.39 ; 0.000 0% Backward simplification (31 calls)
% 0.12/0.39 ; 0.000 0% Ordering (1 call)
% 0.12/0.39 ; 0.000 0% Sortal reasoning (32 calls)
% 0.12/0.39 ; 0.001 4% Purity testing (1 call)
% 0.12/0.39 ; 0.016 70% Other
% 0.12/0.39 ; 0.023 Total
% 0.12/0.39 ; 0.024 Real time
% 0.12/0.39 ;
% 0.12/0.39 ; Term-hash-array has 55 terms in all.
% 0.12/0.39 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.12/0.39 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.12/0.39 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.12/0.39 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.12/0.39 ; Path-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.12/0.39 ; Path-index has 100 nodes (100 at peak, 100 added, 0 deleted).
% 0.12/0.39 ; Trie-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.12/0.39 ; Trie-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.12/0.39 ; Retrieved 41 generalization terms in 49 calls.
% 0.12/0.39 ; Retrieved 18 instance terms in 18 calls.
% 0.12/0.39 ; Retrieved 613 unifiable terms in 112 calls.
% 0.12/0.39 ;
% 0.12/0.39 ; The agenda of rows to process has 6 entries:
% 0.12/0.39 ; 2 with value 13 4 with value 15
% 0.12/0.39 ; The agenda of input rows to give has 5 entries:
% 0.12/0.39 ; 1 with value 15 2 with value 18 2 with value 20
% 0.12/0.39 ; The agenda of rows to give has 11 entries:
% 0.12/0.39 ; 2 with value (4 8) 2 with value (4 12) 5 with value (4 13)
% 0.12/0.39 ; 2 with value (4 9)
% 0.12/0.39 Evaluation took:
% 0.12/0.39 0.024 seconds of real time
% 0.12/0.39 0.020143 seconds of user run time
% 0.12/0.39 0.003744 seconds of system run time
% 0.12/0.39 0 calls to %EVAL
% 0.12/0.39 0 page faults and
% 0.12/0.39 1,957,344 bytes consed.
% 0.12/0.39 :PROOF-FOUND
% 0.12/0.39 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:45:11
% 0.12/0.39 :PROOF-FOUND
% 0.12/0.39 *
%------------------------------------------------------------------------------