TSTP Solution File: CAT009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.64s 0.82s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 28 ( 2 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_composition,axiom,
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
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_axiom4,axiom,
( ~ product(X,Y,Z)
| ~ product(U,X,V)
| ~ defined(U,Z)
| defined(V,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom4) ).
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(product_on_domain,axiom,
product(X,domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
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(ba_defined,hypothesis,
defined(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ba_defined) ).
cnf(prove_domain_of_ba_equals_domain_of_a,negated_conjecture,
domain(compose(b,a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_ba_equals_domain_of_a) ).
cnf(21,plain,
product(b,a,compose(b,a)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,ba_defined]) ).
cnf(62,plain,
defined(compose(b,a),domain(a)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom4,21,product_on_domain,ba_defined]) ).
cnf(197,plain,
defined(domain(compose(b,a)),domain(a)),
inference('HYPERRESOLVE',[status(thm)],[associative_property2,62,product_on_domain]) ).
cnf(733,plain,
product(domain(compose(b,a)),domain(a),domain(a)),
inference('HYPERRESOLVE',[status(thm)],[identity1,197,domain_is_an_identity_map]) ).
cnf(734,plain,
product(domain(compose(b,a)),domain(a),domain(compose(b,a))),
inference('HYPERRESOLVE',[status(thm)],[identity2,197,domain_is_an_identity_map]) ).
cnf(742,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[composition_is_well_defined,733,prove_domain_of_ba_equals_domain_of_a]),734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 19:29:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T19:29:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-29T19:29:54
% 0.20/0.48
% 0.20/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.64/0.82 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.64/0.82
% 0.64/0.82 #||
% 0.64/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.82 % SZS output start Refutation
% See solution above
% 0.64/0.82 ||#
% 0.64/0.82
% 0.64/0.82 ; Summary of computation:
% 0.64/0.82 ; 6742 formulas have been input or derived (from 105 formulas).
% 0.64/0.82 ; 742 (11%) were retained. Of these,
% 0.64/0.82 ; 674 (91%) were simplified or subsumed later,
% 0.64/0.82 ; 68 ( 9%) are still being kept.
% 0.64/0.82 ;
% 0.64/0.82 ; Run time in seconds excluding printing time:
% 0.64/0.82 ; 0.004 1% Read assertion file (1 call)
% 0.64/0.82 ; 0.001 0% Assert (20 calls)
% 0.64/0.82 ; 0.049 14% Process new row (5,612 calls)
% 0.64/0.82 ; 0.201 57% Resolution (208 calls)
% 0.64/0.82 ; 0.004 1% Paramodulation (104 calls)
% 0.64/0.82 ; 0.002 1% Condensing (12 calls)
% 0.64/0.82 ; 0.000 0% Forward subsumption (12 calls)
% 0.64/0.82 ; 0.000 0% Backward subsumption (12 calls)
% 0.64/0.82 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.64/0.82 ; 0.027 8% Forward simplification (4,649 calls)
% 0.64/0.82 ; 0.022 6% Backward simplification (742 calls)
% 0.64/0.82 ; 0.000 0% Ordering (83 calls)
% 0.64/0.82 ; 0.001 0% Sortal reasoning (32 calls)
% 0.64/0.82 ; 0.000 0% Purity testing (1 call)
% 0.64/0.82 ; 0.039 11% Other
% 0.64/0.82 ; 0.350 Total
% 0.64/0.82 ; 0.352 Real time
% 0.64/0.82 ;
% 0.64/0.82 ; Term-hash-array has 1,029 terms in all.
% 0.64/0.82 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.64/0.82 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.64/0.82 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.64/0.82 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.64/0.82 ; Path-index has 109 entries (916 at peak, 1,035 added, 926 deleted).
% 0.64/0.82 ; Path-index has 839 nodes (1,467 at peak, 1,588 added, 749 deleted).
% 0.64/0.82 ; Trie-index has 109 entries (916 at peak, 1,035 added, 926 deleted).
% 0.64/0.82 ; Trie-index has 341 nodes (2,755 at peak, 3,150 added, 2,809 deleted).
% 0.64/0.82 ; Retrieved 8,235 generalization terms in 6,458 calls.
% 0.64/0.82 ; Retrieved 806 instance terms in 729 calls.
% 0.64/0.82 ; Retrieved 172,812 unifiable terms in 16,021 calls.
% 0.64/0.82 ;
% 0.64/0.82 ; The agenda of rows to process has 3 entries:
% 0.64/0.82 ; 3 with value 19
% 0.64/0.82 ; The agenda of rows to give has 15 entries:
% 0.64/0.82 ; 2 with value (4 16) 6 with value (4 18) 4 with value (4 22)
% 0.64/0.82 ; 1 with value (4 17) 2 with value (4 19)
% 0.64/0.82 Evaluation took:
% 0.64/0.82 0.352 seconds of real time
% 0.64/0.82 0.319182 seconds of user run time
% 0.64/0.82 0.032698 seconds of system run time
% 0.64/0.82 [Run times include 0.014 seconds GC run time.]
% 0.64/0.82 0 calls to %EVAL
% 0.64/0.82 0 page faults and
% 0.64/0.82 28,755,864 bytes consed.
% 0.64/0.82 :PROOF-FOUND
% 0.64/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T19:29:54
% 0.64/0.82 :PROOF-FOUND
% 0.64/0.82 *
%------------------------------------------------------------------------------