TSTP Solution File: CAT008-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.47s 0.70s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 2 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associative_property2,axiom,
( ~ product(X,Y,Z)
| ~ defined(Z,U)
| defined(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(category_theory_axiom3,axiom,
( ~ product(X,Y,Z)
| ~ defined(U,Z)
| defined(U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(domain_is_an_identity_map,axiom,
identity_map(domain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
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(product_on_domain,axiom,
product(X,domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
cnf(product_on_codomain,axiom,
product(codomain(X),X,X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(identity1,axiom,
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
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(ab_defined,hypothesis,
defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_defined) ).
cnf(prove_domain_of_a_equals_codomain_of_b,negated_conjecture,
domain(a) != codomain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_equals_codomain_of_b) ).
cnf(28,plain,
defined(domain(a),b),
inference('HYPERRESOLVE',[status(thm)],[associative_property2,product_on_domain,ab_defined]) ).
cnf(45,plain,
defined(domain(a),codomain(b)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,28,product_on_codomain]) ).
cnf(125,plain,
product(domain(a),codomain(b),domain(a)),
inference('HYPERRESOLVE',[status(thm)],[identity2,45,codomain_is_an_identity_map]) ).
cnf(126,plain,
product(domain(a),codomain(b),codomain(b)),
inference('HYPERRESOLVE',[status(thm)],[identity1,45,domain_is_an_identity_map]) ).
cnf(654,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[composition_is_well_defined,125,prove_domain_of_a_equals_codomain_of_b]),126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 20:24:51 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 *
% 0.19/0.46 #<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/sandbox/benchmark/theBenchmark.p 2022-05-29T20:24:51
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T20:24:51
% 0.19/0.47
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.47/0.70 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.47/0.70
% 0.47/0.70 #||
% 0.47/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 % SZS output start Refutation
% See solution above
% 0.47/0.70 ||#
% 0.47/0.70
% 0.47/0.70 ; Summary of computation:
% 0.47/0.70 ; 4126 formulas have been input or derived (from 78 formulas).
% 0.47/0.70 ; 654 (16%) were retained. Of these,
% 0.47/0.70 ; 2 ( 0%) were simplified or subsumed later,
% 0.47/0.70 ; 652 (100%) are still being kept.
% 0.47/0.70 ;
% 0.47/0.70 ; Run time in seconds excluding printing time:
% 0.47/0.70 ; 0.004 2% Read assertion file (1 call)
% 0.47/0.70 ; 0.001 0% Assert (20 calls)
% 0.47/0.70 ; 0.042 18% Process new row (3,362 calls)
% 0.47/0.70 ; 0.123 52% Resolution (154 calls)
% 0.47/0.70 ; 0.000 0% Paramodulation (77 calls)
% 0.47/0.70 ; 0.000 0% Condensing (12 calls)
% 0.47/0.70 ; 0.000 0% Forward subsumption (12 calls)
% 0.47/0.70 ; 0.000 0% Backward subsumption (12 calls)
% 0.47/0.70 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.47/0.70 ; 0.030 13% Forward simplification (3,106 calls)
% 0.47/0.70 ; 0.005 2% Backward simplification (654 calls)
% 0.47/0.70 ; 0.000 0% Ordering (13 calls)
% 0.47/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.70 ; 0.000 0% Purity testing (1 call)
% 0.47/0.70 ; 0.033 14% Other
% 0.47/0.70 ; 0.238 Total
% 0.47/0.70 ; 0.239 Real time
% 0.47/0.70 ;
% 0.47/0.70 ; Term-hash-array has 920 terms in all.
% 0.47/0.70 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.47/0.70 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.47/0.70 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.47/0.70 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.47/0.70 ; Path-index has 920 entries (920 at peak, 922 added, 2 deleted).
% 0.47/0.70 ; Path-index has 1,425 nodes (1,425 at peak, 1,425 added, 0 deleted).
% 0.47/0.70 ; Trie-index has 920 entries (920 at peak, 922 added, 2 deleted).
% 0.47/0.70 ; Trie-index has 2,727 nodes (2,727 at peak, 2,735 added, 8 deleted).
% 0.47/0.70 ; Retrieved 5,014 generalization terms in 3,131 calls.
% 0.47/0.70 ; Retrieved 671 instance terms in 641 calls.
% 0.47/0.70 ; Retrieved 125,838 unifiable terms in 11,129 calls.
% 0.47/0.70 ;
% 0.47/0.70 ; The agenda of rows to process has 86 entries:
% 0.47/0.70 ; 17 with value 13 4 with value 16 8 with value 18
% 0.47/0.70 ; 25 with value 15 32 with value 17
% 0.47/0.70 ; The agenda of rows to give has 576 entries:
% 0.47/0.70 ; 18 with value (4 12) 75 with value (4 16) 110 with value (4 19)
% 0.47/0.70 ; 34 with value (4 13) 99 with value (4 17) 16 with value (4 20)
% 0.47/0.70 ; 54 with value (4 14) 70 with value (4 18) 16 with value (4 21)
% 0.47/0.70 ; 84 with value (4 15)
% 0.47/0.70 Evaluation took:
% 0.47/0.70 0.239 seconds of real time
% 0.47/0.70 0.216794 seconds of user run time
% 0.47/0.70 0.022329 seconds of system run time
% 0.47/0.70 [Run times include 0.006 seconds GC run time.]
% 0.47/0.70 0 calls to %EVAL
% 0.47/0.70 0 page faults and
% 0.47/0.70 17,769,384 bytes consed.
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T20:24:52
% 0.47/0.70 :PROOF-FOUND
% 0.47/0.70 *
%------------------------------------------------------------------------------