%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD071-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Sat Jul 16 02:27:21 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 6 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(totality_of_multiplication,axiom,
( product(X,Y,multiply(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(compatibility_of_order_relation_and_multiplication,axiom,
( less_or_equal(additive_identity,X)
| ~ less_or_equal(additive_identity,Y)
| ~ less_or_equal(additive_identity,Z)
| ~ product(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(less_or_equal_4,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(not_less_or_equal_5,negated_conjecture,
~ less_or_equal(additive_identity,multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).
cnf(101,plain,
product(a,b,multiply(a,b)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_multiplication,a_is_defined,b_is_defined]) ).
cnf(125,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_multiplication,not_less_or_equal_5,less_or_equal_3,less_or_equal_4]),101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : FLD071-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.13 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 6 18:11:20 EDT 2022
% 0.15/0.35 % 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 2022-06-06T18:11:20
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T18:11:20
% 0.21/0.50
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.21/0.50 ; Declaring sum to be commutative.
% 0.21/0.53 ; Declaring product to be commutative.
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 225 formulas have been input or derived (from 23 formulas).
% 0.21/0.54 ; 125 (56%) were retained. Of these,
% 0.21/0.54 ; 125 (100%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.006 12% Read assertion file (1 call)
% 0.21/0.54 ; 0.002 4% Assert (31 calls)
% 0.21/0.54 ; 0.009 18% Process new row (223 calls)
% 0.21/0.54 ; 0.005 10% Resolution (44 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (22 calls)
% 0.21/0.54 ; 0.002 4% Condensing (35 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (35 calls)
% 0.21/0.54 ; 0.001 2% Backward subsumption (29 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (11 calls)
% 0.21/0.54 ; 0.002 4% Forward simplification (223 calls)
% 0.21/0.54 ; 0.000 0% Backward simplification (125 calls)
% 0.21/0.54 ; 0.000 0% Ordering (16 calls)
% 0.21/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.022 44% Other
% 0.21/0.54 ; 0.050 Total
% 0.21/0.54 ; 0.051 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 196 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.21/0.54 ; Retrieved 13 possibly forward subsuming rows in 35 calls.
% 0.21/0.54 ; Retrieved 1 possibly backward subsumed row in 29 calls.
% 0.21/0.54 ; Path-index has 200 entries (200 at peak, 200 added, 0 deleted).
% 0.21/0.54 ; Path-index has 166 nodes (166 at peak, 166 added, 0 deleted).
% 0.21/0.54 ; Trie-index has 200 entries (200 at peak, 200 added, 0 deleted).
% 0.21/0.54 ; Trie-index has 332 nodes (332 at peak, 332 added, 0 deleted).
% 0.21/0.54 ; Retrieved 91 generalization terms in 229 calls.
% 0.21/0.54 ; Retrieved 97 instance terms in 95 calls.
% 0.21/0.54 ; Retrieved 2,307 unifiable terms in 169 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 1 entry:
% 0.21/0.54 ; 1 with value 9
% 0.21/0.54 ; The agenda of input rows to give has 5 entries:
% 0.21/0.54 ; 1 with value 18 2 with value 20 2 with value 25
% 0.21/0.54 ; The agenda of rows to give has 97 entries:
% 0.21/0.54 ; 4 with value (4 5) 6 with value (4 8) 3 with value (4 11)
% 0.21/0.54 ; 12 with value (4 6) 37 with value (4 9) 3 with value (4 13)
% 0.21/0.54 ; 32 with value (4 7)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.052 seconds of real time
% 0.21/0.54 0.045685 seconds of user run time
% 0.21/0.54 0.006196 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 2,845,120 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T18:11:20
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------