TSTP Solution File: KLE139+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE139+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 02:26:48 EDT 2022
% Result : Theorem 0.43s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 9 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
cnf(9,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
cnf(12,axiom,
addition(one,multiplication(star(X),X)) = star(X),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
cnf(19,axiom,
strong_iteration(X) = addition(star(X),multiplication(strong_iteration(X),zero)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',isolation) ).
cnf(22,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(23,negated_conjecture,
( ~ leq(strong_iteration('SKOLEMAAAV1'),addition(multiplication(strong_iteration('SKOLEMAAAV1'),'SKOLEMAAAV1'),one))
| ~ leq(addition(multiplication(strong_iteration('SKOLEMAAAV1'),'SKOLEMAAAV1'),one),strong_iteration('SKOLEMAAAV1')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[22,2]) ).
cnf(82,plain,
multiplication(X,zero) = multiplication(multiplication(X,zero),Y),
inference('PARAMODULATE',[status(thm)],[4,9,theory(equality)]) ).
cnf(132,plain,
multiplication(strong_iteration(X),Y) = addition(multiplication(star(X),Y),multiplication(strong_iteration(X),zero)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,19,theory(equality)]),82,theory(equality)]) ).
cnf(134,plain,
$false,
inference('REWRITE',[status(thm)],[23,25,19,12,132,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE139+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 12:08:07 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:08:07
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-16T12:08:07
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.51 ; Declaring addition to be commutative.
% 0.43/0.61 ; Declaring addition to be associative-commutative.
% 0.43/0.61
% 0.43/0.61 #||
% 0.43/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61 % SZS output start Refutation
% See solution above
% 0.45/0.61 ||#
% 0.45/0.61
% 0.45/0.61 ; Summary of computation:
% 0.45/0.61 ; 418 formulas have been input or derived (from 20 formulas).
% 0.45/0.61 ; 134 (32%) were retained. Of these,
% 0.45/0.61 ; 13 (10%) were simplified or subsumed later,
% 0.45/0.61 ; 121 (90%) are still being kept.
% 0.45/0.61 ;
% 0.45/0.61 ; Run time in seconds excluding printing time:
% 0.45/0.61 ; 0.005 4% Read assertion file (1 call)
% 0.45/0.61 ; 0.001 1% Assert (19 calls)
% 0.45/0.62 ; 0.012 11% Process new row (343 calls)
% 0.45/0.62 ; 0.002 2% Resolution (38 calls)
% 0.45/0.62 ; 0.011 10% Paramodulation (19 calls)
% 0.45/0.62 ; 0.002 2% Embedding (40 calls)
% 0.45/0.62 ; 0.004 4% Condensing (77 calls)
% 0.45/0.62 ; 0.005 4% Forward subsumption (77 calls)
% 0.45/0.62 ; 0.001 1% Backward subsumption (41 calls)
% 0.45/0.62 ; 0.001 1% Clause clause subsumption (127 calls)
% 0.45/0.62 ; 0.032 28% Forward simplification (306 calls)
% 0.45/0.62 ; 0.008 7% Backward simplification (97 calls)
% 0.45/0.62 ; 0.003 3% Ordering (520 calls)
% 0.45/0.62 ; 0.003 3% Ordering ac (167 calls)
% 0.45/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.62 ; 0.000 0% Purity testing (1 call)
% 0.45/0.62 ; 0.024 21% Other
% 0.45/0.62 ; 0.114 Total
% 0.45/0.62 ; 0.116 Real time
% 0.45/0.62 ;
% 0.45/0.62 ; Term-hash-array has 369 terms in all.
% 0.45/0.62 ; Feature-vector-row-index has 40 entries (41 at peak, 41 added, 1 deleted).
% 0.45/0.62 ; Feature-vector-row-index has 272 nodes (288 at peak, 288 added, 16 deleted).
% 0.45/0.62 ; Retrieved 136 possibly forward subsuming rows in 77 calls.
% 0.45/0.62 ; Retrieved 9 possibly backward subsumed rows in 41 calls.
% 0.45/0.62 ; Path-index has 339 entries (341 at peak, 376 added, 37 deleted).
% 0.45/0.62 ; Path-index has 328 nodes (339 at peak, 348 added, 20 deleted).
% 0.45/0.62 ; Trie-index has 339 entries (341 at peak, 376 added, 37 deleted).
% 0.45/0.62 ; Trie-index has 296 nodes (304 at peak, 310 added, 14 deleted).
% 0.45/0.62 ; Retrieved 18,921 generalization terms in 2,863 calls.
% 0.45/0.62 ; Retrieved 200 instance terms in 84 calls.
% 0.45/0.62 ; Retrieved 798 unifiable terms in 97 calls.
% 0.45/0.62 ;
% 0.45/0.62 ; The agenda of rows to process has 65 entries:
% 0.45/0.62 ; 8 with value 24 4 with value 27 4 with value 31
% 0.45/0.62 ; 6 with value 25 3 with value 28 2 with value 32
% 0.45/0.62 ; 22 with value 26 15 with value 30 1 with value 36
% 0.45/0.62 ; The agenda of input rows to give has 3 entries:
% 0.45/0.62 ; 3 with value 19
% 0.45/0.62 ; The agenda of rows to give has 98 entries:
% 0.45/0.62 ; 2 with value (4 5) 3 with value (4 16) 2 with value (4 25)
% 0.45/0.62 ; 2 with value (4 7) 9 with value (4 18) 2 with value (4 26)
% 0.45/0.62 ; 1 with value (4 8) 14 with value (4 19) 12 with value (4 28)
% 0.45/0.62 ; 1 with value (4 9) 14 with value (4 20) 1 with value (4 29)
% 0.45/0.62 ; 4 with value (4 11) 2 with value (4 21) 1 with value (4 30)
% 0.45/0.62 ; 2 with value (4 12) 5 with value (4 22) 3 with value (4 32)
% 0.45/0.62 ; 1 with value (4 13) 3 with value (4 23) 1 with value (4 33)
% 0.45/0.62 ; 9 with value (4 15) 4 with value (4 24)
% 0.45/0.62 Evaluation took:
% 0.45/0.62 0.117 seconds of real time
% 0.45/0.62 0.107129 seconds of user run time
% 0.45/0.62 0.009989 seconds of system run time
% 0.45/0.62 0 calls to %EVAL
% 0.45/0.62 0 page faults and
% 0.45/0.62 5,670,912 bytes consed.
% 0.45/0.62 :PROOF-FOUND
% 0.45/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:08:07
% 0.45/0.62 :PROOF-FOUND
% 0.45/0.62 *
%------------------------------------------------------------------------------