TSTP Solution File: CAT010-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 00:07:08 EDT 2022
% Result : Unsatisfiable 0.61s 0.80s
% Output : Refutation 0.61s
% 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(category_theory_axiom1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ defined(Z,U)
| defined(X,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom1) ).
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(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_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(ba_defined,hypothesis,
defined(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ba_defined) ).
cnf(prove_codomain_of_ba_equals_codomain_of_b,negated_conjecture,
codomain(compose(b,a)) != codomain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_ba_equals_codomain_of_b) ).
cnf(21,plain,
product(b,a,compose(b,a)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,ba_defined]) ).
cnf(61,plain,
defined(codomain(b),compose(b,a)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom1,21,product_on_codomain,ba_defined]) ).
cnf(191,plain,
defined(codomain(b),codomain(compose(b,a))),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,61,product_on_codomain]) ).
cnf(730,plain,
product(codomain(b),codomain(compose(b,a)),codomain(b)),
inference('HYPERRESOLVE',[status(thm)],[identity2,191,codomain_is_an_identity_map]) ).
cnf(731,plain,
product(codomain(b),codomain(compose(b,a)),codomain(compose(b,a))),
inference('HYPERRESOLVE',[status(thm)],[identity1,191,codomain_is_an_identity_map]) ).
cnf(742,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[composition_is_well_defined,730,prove_codomain_of_ba_equals_codomain_of_b]),731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : CAT010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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 16:52:26 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 2022-05-29T16:52:26
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-29T16:52:26
% 0.19/0.47
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.61/0.80 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.61/0.80
% 0.61/0.80 #||
% 0.61/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.80 % SZS output start Refutation
% See solution above
% 0.61/0.80 ||#
% 0.61/0.80
% 0.61/0.80 ; Summary of computation:
% 0.61/0.80 ; 6666 formulas have been input or derived (from 104 formulas).
% 0.61/0.80 ; 742 (11%) were retained. Of these,
% 0.61/0.80 ; 674 (91%) were simplified or subsumed later,
% 0.61/0.80 ; 68 ( 9%) are still being kept.
% 0.61/0.80 ;
% 0.61/0.80 ; Run time in seconds excluding printing time:
% 0.61/0.80 ; 0.004 1% Read assertion file (1 call)
% 0.61/0.80 ; 0.001 0% Assert (20 calls)
% 0.61/0.80 ; 0.046 14% Process new row (5,564 calls)
% 0.61/0.80 ; 0.188 56% Resolution (206 calls)
% 0.61/0.80 ; 0.003 1% Paramodulation (103 calls)
% 0.61/0.80 ; 0.001 0% Condensing (12 calls)
% 0.61/0.80 ; 0.000 0% Forward subsumption (12 calls)
% 0.61/0.80 ; 0.000 0% Backward subsumption (12 calls)
% 0.61/0.80 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.61/0.80 ; 0.021 6% Forward simplification (4,601 calls)
% 0.61/0.80 ; 0.026 8% Backward simplification (742 calls)
% 0.61/0.80 ; 0.000 0% Ordering (83 calls)
% 0.61/0.80 ; 0.002 1% Sortal reasoning (32 calls)
% 0.61/0.80 ; 0.000 0% Purity testing (1 call)
% 0.61/0.80 ; 0.044 13% Other
% 0.61/0.80 ; 0.336 Total
% 0.61/0.80 ; 0.338 Real time
% 0.61/0.80 ;
% 0.61/0.80 ; Term-hash-array has 1,029 terms in all.
% 0.61/0.80 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.61/0.80 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.61/0.80 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.61/0.80 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.61/0.80 ; Path-index has 109 entries (916 at peak, 1,035 added, 926 deleted).
% 0.61/0.80 ; Path-index has 839 nodes (1,467 at peak, 1,589 added, 750 deleted).
% 0.61/0.80 ; Trie-index has 109 entries (916 at peak, 1,035 added, 926 deleted).
% 0.61/0.80 ; Trie-index has 341 nodes (2,751 at peak, 3,149 added, 2,808 deleted).
% 0.61/0.80 ; Retrieved 8,175 generalization terms in 6,365 calls.
% 0.61/0.80 ; Retrieved 806 instance terms in 729 calls.
% 0.61/0.80 ; Retrieved 171,147 unifiable terms in 15,796 calls.
% 0.61/0.80 ;
% 0.61/0.80 ; The agenda of rows to process has 4 entries:
% 0.61/0.80 ; 4 with value 19
% 0.61/0.80 ; The agenda of rows to give has 16 entries:
% 0.61/0.80 ; 3 with value (4 16) 6 with value (4 18) 4 with value (4 22)
% 0.61/0.80 ; 1 with value (4 17) 2 with value (4 19)
% 0.61/0.80 Evaluation took:
% 0.61/0.80 0.339 seconds of real time
% 0.61/0.80 0.31949 seconds of user run time
% 0.61/0.80 0.019085 seconds of system run time
% 0.61/0.80 [Run times include 0.013 seconds GC run time.]
% 0.61/0.80 0 calls to %EVAL
% 0.61/0.80 0 page faults and
% 0.61/0.80 28,621,216 bytes consed.
% 0.61/0.80 :PROOF-FOUND
% 0.61/0.80 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:52:27
% 0.61/0.80 :PROOF-FOUND
% 0.61/0.80 *
%------------------------------------------------------------------------------