%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT018-1 : 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 00:07:11 EDT 2022
% Result : Unsatisfiable 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 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(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(product_on_codomain,axiom,
product(codomain(X),X,X),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(assume_ab_exists,hypothesis,
defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
cnf(assume_bc_exists,hypothesis,
defined(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).
cnf(prove_a_bc_exists,negated_conjecture,
~ defined(a,compose(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).
cnf(23,plain,
product(b,c,compose(b,c)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,assume_bc_exists]) ).
cnf(37,plain,
defined(a,codomain(b)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,product_on_codomain,assume_ab_exists]) ).
cnf(73,plain,
~ defined(codomain(b),compose(b,c)),
inference('UR-RESOLVE',[status(thm)],[category_theory_axiom6,37,codomain_is_an_identity_map,prove_a_bc_exists]) ).
cnf(89,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom1,23,product_on_codomain,assume_bc_exists]),73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 16:44:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:44:51
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T16:44:51
% 0.20/0.50
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.36/0.53 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.54 ||#
% 0.36/0.54
% 0.36/0.54 ; Summary of computation:
% 0.36/0.54 ; 286 formulas have been input or derived (from 30 formulas).
% 0.36/0.54 ; 89 (31%) were retained. Of these,
% 0.36/0.54 ; 89 (100%) are still being kept.
% 0.36/0.54 ;
% 0.36/0.54 ; Run time in seconds excluding printing time:
% 0.36/0.54 ; 0.004 8% Read assertion file (1 call)
% 0.36/0.54 ; 0.001 2% Assert (21 calls)
% 0.36/0.54 ; 0.002 4% Process new row (217 calls)
% 0.36/0.54 ; 0.012 24% Resolution (58 calls)
% 0.36/0.54 ; 0.000 0% Paramodulation (29 calls)
% 0.36/0.54 ; 0.001 2% Condensing (12 calls)
% 0.36/0.54 ; 0.001 2% Forward subsumption (12 calls)
% 0.36/0.54 ; 0.000 0% Backward subsumption (12 calls)
% 0.36/0.54 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.36/0.54 ; 0.004 8% Forward simplification (217 calls)
% 0.36/0.54 ; 0.001 2% Backward simplification (89 calls)
% 0.36/0.54 ; 0.000 0% Ordering (1 call)
% 0.36/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.36/0.54 ; 0.000 0% Purity testing (1 call)
% 0.36/0.54 ; 0.022 45% Other
% 0.36/0.54 ; 0.049 Total
% 0.36/0.54 ; 0.051 Real time
% 0.36/0.54 ;
% 0.36/0.54 ; Term-hash-array has 131 terms in all.
% 0.36/0.54 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.36/0.54 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.36/0.54 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.36/0.54 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.36/0.54 ; Path-index has 134 entries (134 at peak, 134 added, 0 deleted).
% 0.36/0.54 ; Path-index has 216 nodes (216 at peak, 216 added, 0 deleted).
% 0.36/0.54 ; Trie-index has 134 entries (134 at peak, 134 added, 0 deleted).
% 0.36/0.54 ; Trie-index has 325 nodes (325 at peak, 325 added, 0 deleted).
% 0.36/0.54 ; Retrieved 191 generalization terms in 219 calls.
% 0.36/0.54 ; Retrieved 80 instance terms in 76 calls.
% 0.36/0.54 ; Retrieved 5,888 unifiable terms in 933 calls.
% 0.36/0.54 ;
% 0.36/0.54 ; The agenda of rows to process has 14 entries:
% 0.36/0.54 ; 3 with value 10 7 with value 11 4 with value 13
% 0.36/0.54 ; The agenda of rows to give has 59 entries:
% 0.36/0.54 ; 1 with value (4 7) 12 with value (4 11) 2 with value (4 14)
% 0.36/0.54 ; 15 with value (4 9) 4 with value (4 12) 2 with value (4 15)
% 0.36/0.54 ; 15 with value (4 10) 8 with value (4 13)
% 0.36/0.54 Evaluation took:
% 0.36/0.54 0.052 seconds of real time
% 0.36/0.54 0.045819 seconds of user run time
% 0.36/0.54 0.005911 seconds of system run time
% 0.36/0.54 0 calls to %EVAL
% 0.36/0.54 0 page faults and
% 0.36/0.54 2,997,560 bytes consed.
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:44:52
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 *
%------------------------------------------------------------------------------