TSTP Solution File: KLE137+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : Sun Jul 17 02:26:47 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 5 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
cnf(18,axiom,
( ~ leq(X,addition(multiplication(Y,X),Z))
| leq(X,multiplication(strong_iteration(Y),Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).
cnf(22,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(23,negated_conjecture,
~ leq('SKOLEMAAAV1',strong_iteration(one)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[22,3]) ).
cnf(180,plain,
leq(X,multiplication(strong_iteration(one),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,6,theory(equality)]),26]) ).
cnf(224,plain,
leq(X,strong_iteration(one)),
inference('PARAMODULATE',[status(thm)],[180,5,theory(equality)]) ).
cnf(225,plain,
$false,
inference('REWRITE',[status(thm)],[23,224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 : Thu Jun 16 08:03:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:03:25
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-16T08:03:25
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.48 ; Declaring addition to be commutative.
% 0.40/0.62 ; Declaring addition to be associative-commutative.
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 642 formulas have been input or derived (from 34 formulas).
% 0.40/0.62 ; 225 (35%) were retained. Of these,
% 0.40/0.62 ; 14 ( 6%) were simplified or subsumed later,
% 0.40/0.62 ; 211 (94%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.005 3% Read assertion file (1 call)
% 0.40/0.62 ; 0.001 1% Assert (19 calls)
% 0.40/0.62 ; 0.036 24% Process new row (614 calls)
% 0.40/0.62 ; 0.002 1% Resolution (66 calls)
% 0.40/0.62 ; 0.017 11% Paramodulation (33 calls)
% 0.40/0.62 ; 0.001 1% Embedding (44 calls)
% 0.40/0.62 ; 0.004 3% Condensing (155 calls)
% 0.40/0.62 ; 0.002 1% Forward subsumption (155 calls)
% 0.40/0.62 ; 0.002 1% Backward subsumption (89 calls)
% 0.40/0.62 ; 0.002 1% Clause clause subsumption (239 calls)
% 0.40/0.62 ; 0.044 30% Forward simplification (573 calls)
% 0.40/0.62 ; 0.003 2% Backward simplification (184 calls)
% 0.40/0.62 ; 0.004 3% Ordering (887 calls)
% 0.40/0.62 ; 0.003 2% Ordering ac (246 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.022 15% Other
% 0.40/0.62 ; 0.148 Total
% 0.40/0.62 ; 0.150 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 612 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 89 entries (89 at peak, 89 added, 0 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 560 nodes (560 at peak, 560 added, 0 deleted).
% 0.40/0.62 ; Retrieved 255 possibly forward subsuming rows in 155 calls.
% 0.40/0.62 ; Retrieved 26 possibly backward subsumed rows in 89 calls.
% 0.40/0.62 ; Path-index has 586 entries (587 at peak, 619 added, 33 deleted).
% 0.40/0.62 ; Path-index has 498 nodes (499 at peak, 503 added, 5 deleted).
% 0.40/0.62 ; Trie-index has 586 entries (587 at peak, 619 added, 33 deleted).
% 0.40/0.62 ; Trie-index has 456 nodes (459 at peak, 463 added, 7 deleted).
% 0.40/0.62 ; Retrieved 47,188 generalization terms in 5,451 calls.
% 0.40/0.62 ; Retrieved 305 instance terms in 127 calls.
% 0.40/0.62 ; Retrieved 1,663 unifiable terms in 177 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of rows to process has 7 entries:
% 0.40/0.62 ; 5 with value 14 2 with value 17
% 0.40/0.62 ; The agenda of rows to give has 178 entries:
% 0.40/0.62 ; 1 with value (4 8) 21 with value (4 19) 8 with value (4 27)
% 0.40/0.62 ; 8 with value (4 11) 14 with value (4 20) 22 with value (4 28)
% 0.40/0.62 ; 7 with value (4 12) 3 with value (4 21) 2 with value (4 29)
% 0.40/0.62 ; 3 with value (4 13) 6 with value (4 22) 1 with value (4 30)
% 0.40/0.62 ; 6 with value (4 14) 3 with value (4 23) 3 with value (4 32)
% 0.40/0.62 ; 14 with value (4 15) 4 with value (4 24) 3 with value (4 33)
% 0.40/0.62 ; 4 with value (4 16) 6 with value (4 25) 5 with value (4 35)
% 0.40/0.62 ; 11 with value (4 17) 13 with value (4 26) 1 with value (4 40)
% 0.40/0.62 ; 9 with value (4 18)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.15 seconds of real time
% 0.40/0.62 0.139268 seconds of user run time
% 0.40/0.62 0.010869 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 8,603,160 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:03:25
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------