TSTP Solution File: CAT007-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 00:07:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 1 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(category_theory_axiom6,axiom,
( ~ defined(X,Y)
| ~ defined(Y,Z)
| ~ identity_map(Y)
| defined(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
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_x_to_its_domain,axiom,
defined(X,domain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
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(domain_of_a_equals_codomain_of_b,hypothesis,
domain(a) = codomain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_a_equals_codomain_of_b) ).
cnf(prove_ab_is_defined,negated_conjecture,
~ defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ab_is_defined) ).
cnf(21,plain,
defined(a,codomain(b)),
inference('PARAMODULATE',[status(thm)],[mapping_from_x_to_its_domain,domain_of_a_equals_codomain_of_b,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[category_theory_axiom6,mapping_from_codomain_of_x_to_x,codomain_is_an_identity_map,prove_ab_is_defined]),21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 22:27:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T22:27:39
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-29T22:27:39
% 0.19/0.46
% 0.19/0.46 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.19/0.46 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.19/0.47 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.47
% 0.19/0.47 #||
% 0.19/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 ||#
% 0.19/0.47
% 0.19/0.47 ; Summary of computation:
% 0.19/0.47 ; 79 formulas have been input or derived (from 17 formulas).
% 0.19/0.47 ; 36 (46%) were retained. Of these,
% 0.19/0.47 ; 36 (100%) are still being kept.
% 0.19/0.47 ;
% 0.19/0.47 ; Run time in seconds excluding printing time:
% 0.19/0.47 ; 0.002 12% Read assertion file (1 call)
% 0.19/0.47 ; 0.000 0% Assert (20 calls)
% 0.19/0.47 ; 0.000 0% Process new row (63 calls)
% 0.19/0.47 ; 0.000 0% Resolution (32 calls)
% 0.19/0.47 ; 0.001 6% Paramodulation (16 calls)
% 0.19/0.47 ; 0.001 6% Condensing (12 calls)
% 0.19/0.47 ; 0.000 0% Forward subsumption (12 calls)
% 0.19/0.47 ; 0.001 6% Backward subsumption (12 calls)
% 0.19/0.47 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.47 ; 0.000 0% Forward simplification (63 calls)
% 0.19/0.47 ; 0.001 6% Backward simplification (36 calls)
% 0.19/0.47 ; 0.000 0% Ordering (6 calls)
% 0.19/0.47 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.47 ; 0.000 0% Purity testing (1 call)
% 0.19/0.47 ; 0.011 65% Other
% 0.19/0.47 ; 0.017 Total
% 0.19/0.47 ; 0.018 Real time
% 0.19/0.47 ;
% 0.19/0.47 ; Term-hash-array has 59 terms in all.
% 0.19/0.47 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.19/0.47 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.19/0.47 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.19/0.47 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.19/0.47 ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.19/0.47 ; Path-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.19/0.47 ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.19/0.47 ; Trie-index has 125 nodes (125 at peak, 125 added, 0 deleted).
% 0.19/0.47 ; Retrieved 45 generalization terms in 68 calls.
% 0.19/0.47 ; Retrieved 23 instance terms in 23 calls.
% 0.19/0.47 ; Retrieved 817 unifiable terms in 149 calls.
% 0.19/0.47 ;
% 0.19/0.47 ; The agenda of rows to process has 9 entries:
% 0.19/0.47 ; 1 with value 7 4 with value 9 4 with value 11
% 0.19/0.47 ; The agenda of input rows to give has 4 entries:
% 0.19/0.47 ; 2 with value 18 2 with value 20
% 0.19/0.47 ; The agenda of rows to give has 15 entries:
% 0.19/0.47 ; 1 with value (4 6) 5 with value (4 8) 2 with value (4 12)
% 0.19/0.47 ; 1 with value (4 7) 2 with value (4 9) 4 with value (4 13)
% 0.19/0.47 Evaluation took:
% 0.19/0.47 0.018 seconds of real time
% 0.19/0.47 0.012091 seconds of user run time
% 0.19/0.47 0.006187 seconds of system run time
% 0.19/0.47 0 calls to %EVAL
% 0.19/0.47 0 page faults and
% 0.19/0.47 1,953,208 bytes consed.
% 0.19/0.47 :PROOF-FOUND
% 0.19/0.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T22:27:39
% 0.19/0.47 :PROOF-FOUND
% 0.19/0.47 *
%------------------------------------------------------------------------------