%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT005-1 : 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 00:07:06 EDT 2022
% Result : Unsatisfiable 0.41s 0.56s
% Output : Refutation 0.41s
% 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 : 21 ( 2 equ; 9 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 2 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(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(ad_defined,hypothesis,
defined(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_defined) ).
cnf(d_is_identity_map,hypothesis,
identity_map(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_identity_map) ).
cnf(prove_domain_of_a_is_d,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
cnf(32,plain,
defined(domain(a),d),
inference('HYPERRESOLVE',[status(thm)],[associative_property2,product_on_domain,ad_defined]) ).
cnf(57,plain,
product(domain(a),d,d),
inference('HYPERRESOLVE',[status(thm)],[identity1,32,domain_is_an_identity_map]) ).
cnf(60,plain,
product(domain(a),d,domain(a)),
inference('HYPERRESOLVE',[status(thm)],[identity2,32,d_is_identity_map]) ).
cnf(147,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[composition_is_well_defined,57,prove_domain_of_a_is_d]),60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 16:09:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:09:51
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T16:09:51
% 0.21/0.50
% 0.21/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.41/0.56 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.41/0.56
% 0.41/0.56 #||
% 0.41/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.56 % SZS output start Refutation
% See solution above
% 0.41/0.56 ||#
% 0.41/0.56
% 0.41/0.56 ; Summary of computation:
% 0.41/0.56 ; 924 formulas have been input or derived (from 42 formulas).
% 0.41/0.56 ; 147 (16%) were retained. Of these,
% 0.41/0.56 ; 29 (20%) were simplified or subsumed later,
% 0.41/0.56 ; 118 (80%) are still being kept.
% 0.41/0.56 ;
% 0.41/0.56 ; Run time in seconds:
% 0.41/0.56 ; 0.005 6% Read assertion file (1 call)
% 0.41/0.56 ; 0.000 0% Assert (21 calls)
% 0.41/0.56 ; 0.008 10% Process new row (744 calls)
% 0.41/0.56 ; 0.030 38% Resolution (82 calls)
% 0.41/0.56 ; 0.001 1% Paramodulation (41 calls)
% 0.41/0.56 ; 0.000 0% Condensing (12 calls)
% 0.41/0.56 ; 0.000 0% Forward subsumption (12 calls)
% 0.41/0.56 ; 0.001 1% Backward subsumption (12 calls)
% 0.41/0.56 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.41/0.56 ; 0.008 10% Forward simplification (609 calls)
% 0.41/0.56 ; 0.001 1% Backward simplification (147 calls)
% 0.41/0.56 ; 0.000 0% Ordering (16 calls)
% 0.41/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.41/0.56 ; 0.000 0% Purity testing (1 call)
% 0.41/0.56 ; 0.024 30% Other
% 0.41/0.56 ; 0.079 Total
% 0.41/0.56 ; 0.080 Real time
% 0.41/0.56 ;
% 0.41/0.56 ; Term-hash-array has 210 terms in all.
% 0.41/0.56 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.41/0.56 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.41/0.56 ; Retrieved 11 possibly forward subsuming rows in 12 calls.
% 0.41/0.56 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.41/0.56 ; Path-index has 176 entries (176 at peak, 212 added, 36 deleted).
% 0.41/0.56 ; Path-index has 291 nodes (291 at peak, 317 added, 26 deleted).
% 0.41/0.56 ; Trie-index has 176 entries (176 at peak, 212 added, 36 deleted).
% 0.41/0.56 ; Trie-index has 476 nodes (476 at peak, 561 added, 85 deleted).
% 0.41/0.56 ; Retrieved 961 generalization terms in 954 calls.
% 0.41/0.56 ; Retrieved 139 instance terms in 134 calls.
% 0.41/0.56 ; Retrieved 16,921 unifiable terms in 2,486 calls.
% 0.41/0.56 ;
% 0.41/0.56 ; The agenda of rows to process has 11 entries:
% 0.41/0.56 ; 5 with value 11 6 with value 12
% 0.41/0.56 ; The agenda of rows to give has 82 entries:
% 0.41/0.56 ; 1 with value (4 9) 12 with value (4 12) 10 with value (4 15)
% 0.41/0.56 ; 6 with value (4 10) 7 with value (4 13) 4 with value (4 16)
% 0.41/0.56 ; 17 with value (4 11) 17 with value (4 14) 8 with value (4 17)
% 0.41/0.56 Evaluation took:
% 0.41/0.56 0.081 seconds of real time
% 0.41/0.56 0.06825 seconds of user run time
% 0.41/0.56 0.01206 seconds of system run time
% 0.41/0.56 0 calls to %EVAL
% 0.41/0.56 0 page faults and
% 0.41/0.56 4,254,384 bytes consed.
% 0.41/0.56 :PROOF-FOUND
% 0.41/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:09:52
% 0.41/0.56 :PROOF-FOUND
% 0.41/0.56 *
%------------------------------------------------------------------------------