TSTP Solution File: RNG038-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Mon Jul 18 20:40:38 EDT 2022
% Result : Unsatisfiable 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity2,axiom,
sum(X,additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(some_property,hypothesis,
( ~ equalish(X,additive_identity)
| product(X,h(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
cnf(a_not_additive_identity,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
cnf(29,plain,
equalish(X,X),
inference('HYPERRESOLVE',[status(thm)],[addition_is_well_defined,additive_identity2,additive_identity2]) ).
cnf(47,plain,
~ product(additive_identity,X,a),
inference('UR-RESOLVE',[status(thm)],[multiplication_is_well_defined,multiplicative_identity1,a_not_additive_identity]) ).
cnf(347,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[some_property,47,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 19:32:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T19:32:57
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-30T19:32:57
% 0.20/0.51
% 0.20/0.51 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.20/0.51 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.51 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.20/0.51 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.20/0.51 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.47/0.63 ; Declaring sum to be commutative.
% 0.47/0.63
% 0.47/0.63 #||
% 0.47/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.63 % SZS output start Refutation
% See solution above
% 0.47/0.63 ||#
% 0.47/0.63
% 0.47/0.63 ; Summary of computation:
% 0.47/0.63 ; 2247 formulas have been input or derived (from 34 formulas).
% 0.47/0.63 ; 347 (15%) were retained. Of these,
% 0.47/0.63 ; 12 ( 3%) were simplified or subsumed later,
% 0.47/0.63 ; 335 (97%) are still being kept.
% 0.47/0.63 ;
% 0.47/0.63 ; Run time in seconds excluding printing time:
% 0.47/0.63 ; 0.006 4% Read assertion file (1 call)
% 0.47/0.63 ; 0.002 1% Assert (30 calls)
% 0.47/0.63 ; 0.021 15% Process new row (1,679 calls)
% 0.47/0.63 ; 0.064 45% Resolution (66 calls)
% 0.47/0.63 ; 0.001 1% Paramodulation (33 calls)
% 0.47/0.63 ; 0.003 2% Condensing (20 calls)
% 0.47/0.63 ; 0.001 1% Forward subsumption (20 calls)
% 0.47/0.63 ; 0.000 0% Backward subsumption (18 calls)
% 0.47/0.63 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.47/0.63 ; 0.010 7% Forward simplification (1,483 calls)
% 0.47/0.63 ; 0.006 4% Backward simplification (347 calls)
% 0.47/0.63 ; 0.001 1% Sortal reasoning (32 calls)
% 0.47/0.63 ; 0.000 0% Purity testing (1 call)
% 0.47/0.63 ; 0.028 20% Other
% 0.47/0.63 ; 0.143 Total
% 0.47/0.63 ; 0.145 Real time
% 0.47/0.63 ;
% 0.47/0.63 ; Term-hash-array has 530 terms in all.
% 0.47/0.63 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.47/0.63 ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.47/0.63 ; Retrieved 9 possibly forward subsuming rows in 20 calls.
% 0.47/0.63 ; Retrieved 7 possibly backward subsumed rows in 18 calls.
% 0.47/0.63 ; Path-index has 521 entries (522 at peak, 535 added, 14 deleted).
% 0.47/0.63 ; Path-index has 482 nodes (482 at peak, 484 added, 2 deleted).
% 0.47/0.63 ; Trie-index has 521 entries (522 at peak, 535 added, 14 deleted).
% 0.47/0.63 ; Trie-index has 1,362 nodes (1,364 at peak, 1,389 added, 27 deleted).
% 0.47/0.63 ; Retrieved 1,541 generalization terms in 1,507 calls.
% 0.47/0.63 ; Retrieved 425 instance terms in 328 calls.
% 0.47/0.63 ; Retrieved 104,061 unifiable terms in 4,174 calls.
% 0.47/0.63 ;
% 0.47/0.63 ; The agenda of rows to process has 96 entries:
% 0.47/0.63 ; 2 with value 6 11 with value 9 11 with value 12
% 0.47/0.63 ; 41 with value 7 29 with value 10 2 with value 14
% 0.47/0.63 ; The agenda of rows to give has 303 entries:
% 0.47/0.63 ; 7 with value (4 6) 31 with value (4 10) 66 with value (4 14)
% 0.47/0.63 ; 4 with value (4 7) 65 with value (4 11) 2 with value (4 15)
% 0.47/0.63 ; 14 with value (4 8) 49 with value (4 12) 10 with value (4 16)
% 0.47/0.63 ; 37 with value (4 9) 18 with value (4 13)
% 0.47/0.63 Evaluation took:
% 0.47/0.63 0.145 seconds of real time
% 0.47/0.63 0.134693 seconds of user run time
% 0.47/0.63 0.01067 seconds of system run time
% 0.47/0.63 0 calls to %EVAL
% 0.47/0.63 0 page faults and
% 0.47/0.63 7,677,760 bytes consed.
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T19:32:57
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 *
%------------------------------------------------------------------------------