TSTP Solution File: KLE142+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE142+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 02:26:49 EDT 2022
% Result : Theorem 6.07s 6.21s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 18 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 11 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 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 : 35 ( 11 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(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
cnf(16,axiom,
strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
cnf(17,plain,
addition(multiplication(X,strong_iteration(X)),addition(one,Y)) = addition(strong_iteration(X),Y),
inference('EMBED',[status(thm)],[16]) ).
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(strong_iteration(strong_iteration('SKOLEMAAAV1')),strong_iteration(one))
| ~ leq(strong_iteration(one),strong_iteration(strong_iteration('SKOLEMAAAV1'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[22,3]) ).
cnf(66,plain,
addition(strong_iteration(X),one) = strong_iteration(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(179,plain,
leq(X,multiplication(strong_iteration(one),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,6,theory(equality)]),26]) ).
cnf(223,plain,
leq(X,strong_iteration(one)),
inference('PARAMODULATE',[status(thm)],[179,5,theory(equality)]) ).
cnf(224,plain,
~ leq(strong_iteration(one),strong_iteration(strong_iteration('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[23,223]) ).
cnf(247,plain,
multiplication(strong_iteration(X),Y) = addition(Y,multiplication(strong_iteration(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,66,theory(equality)]),6,theory(equality)]) ).
cnf(248,plain,
addition(X,addition(multiplication(strong_iteration(Y),X),Z)) = addition(multiplication(strong_iteration(Y),X),Z),
inference('EMBED',[status(thm)],[247]) ).
cnf(3190,plain,
leq(X,addition(multiplication(strong_iteration(Y),X),Z)),
inference('HYPERRESOLVE',[status(thm)],[22,248]) ).
cnf(3327,plain,
leq(X,multiplication(strong_iteration(strong_iteration(Y)),Z)),
inference('HYPERRESOLVE',[status(thm)],[18,3190]) ).
cnf(3341,plain,
leq(X,strong_iteration(strong_iteration(Y))),
inference('PARAMODULATE',[status(thm)],[3327,5,theory(equality)]) ).
cnf(3342,plain,
$false,
inference('REWRITE',[status(thm)],[224,3341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE142+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n003.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 09:21:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/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 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:21:57
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-16T09:21:57
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.50 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.50 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.50 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.50 ; Declaring addition to be commutative.
% 6.07/6.21 ; Declaring addition to be associative-commutative.
% 6.07/6.21
% 6.07/6.21 #||
% 6.07/6.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.07/6.21 % SZS output start Refutation
% See solution above
% 6.07/6.21 ||#
% 6.07/6.21
% 6.07/6.21 ; Summary of computation:
% 6.07/6.21 ; 20839 formulas have been input or derived (from 271 formulas).
% 6.07/6.21 ; 3342 (16%) were retained. Of these,
% 6.07/6.21 ; 805 (24%) were simplified or subsumed later,
% 6.07/6.21 ; 2537 (76%) are still being kept.
% 6.07/6.21 ;
% 6.07/6.21 ; Run time in seconds excluding printing time:
% 6.07/6.21 ; 0.005 0% Read assertion file (1 call)
% 6.07/6.21 ; 0.001 0% Assert (19 calls)
% 6.07/6.21 ; 0.297 5% Process new row (20,026 calls)
% 6.07/6.21 ; 0.041 1% Resolution (540 calls)
% 6.07/6.21 ; 0.253 4% Paramodulation (270 calls)
% 6.07/6.21 ; 0.004 0% Embedding (249 calls)
% 6.07/6.21 ; 0.054 1% Condensing (1,793 calls)
% 6.07/6.21 ; 0.152 3% Forward subsumption (1,793 calls)
% 6.07/6.21 ; 0.037 1% Backward subsumption (896 calls)
% 6.07/6.21 ; 0.047 1% Clause clause subsumption (9,084 calls)
% 6.07/6.21 ; 4.534 79% Forward simplification (19,027 calls)
% 6.07/6.21 ; 0.114 2% Backward simplification (3,098 calls)
% 6.07/6.21 ; 0.084 1% Ordering (19,470 calls)
% 6.07/6.21 ; 0.023 0% Ordering ac (2,437 calls)
% 6.07/6.21 ; 0.000 0% Sortal reasoning (32 calls)
% 6.07/6.21 ; 0.000 0% Purity testing (1 call)
% 6.07/6.21 ; 0.081 1% Other
% 6.07/6.21 ; 5.727 Total
% 6.07/6.21 ; 5.729 Real time
% 6.07/6.21 ;
% 6.07/6.22 ; Term-hash-array has 6,554 terms in all.
% 6.07/6.22 ; Feature-vector-row-index has 778 entries (778 at peak, 896 added, 118 deleted).
% 6.07/6.22 ; Feature-vector-row-index has 5,127 nodes (5,127 at peak, 6,197 added, 1,070 deleted).
% 6.07/6.22 ; Retrieved 11,045 possibly forward subsuming rows in 1,793 calls.
% 6.07/6.22 ; Retrieved 1,508 possibly backward subsumed rows in 896 calls.
% 6.07/6.22 ; Path-index has 5,168 entries (5,207 at peak, 6,719 added, 1,551 deleted).
% 6.07/6.22 ; Path-index has 2,696 nodes (2,722 at peak, 3,046 added, 350 deleted).
% 6.07/6.22 ; Trie-index has 5,168 entries (5,207 at peak, 6,719 added, 1,551 deleted).
% 6.07/6.22 ; Trie-index has 2,250 nodes (2,306 at peak, 2,841 added, 591 deleted).
% 6.07/6.22 ; Retrieved 5,138,177 generalization terms in 137,212 calls.
% 6.07/6.22 ; Retrieved 10,631 instance terms in 2,234 calls.
% 6.07/6.22 ; Retrieved 58,611 unifiable terms in 2,188 calls.
% 6.07/6.22 ;
% 6.07/6.22 ; The agenda of rows to process has 23 entries:
% 6.07/6.22 ; 1 with value 14 8 with value 19 4 with value 24
% 6.07/6.22 ; 5 with value 16 1 with value 21 1 with value 25
% 6.07/6.22 ; 1 with value 18 2 with value 23
% 6.07/6.22 ; The agenda of rows to give has 2305 entries:
% 6.07/6.22 ; 1 with value (4 13) 36 with value (4 33) 8 with value (4 50)
% 6.07/6.22 ; 86 with value (4 17) 31 with value (4 34) 6 with value (4 51)
% 6.07/6.22 ; 124 with value (4 18) 22 with value (4 35) 4 with value (4 52)
% 6.07/6.22 ; 172 with value (4 19) 35 with value (4 36) 1 with value (4 53)
% 6.07/6.22 ; 134 with value (4 20) 18 with value (4 37) 7 with value (4 55)
% 6.07/6.22 ; 191 with value (4 21) 22 with value (4 38) 4 with value (4 56)
% 6.07/6.22 ; 222 with value (4 22) 25 with value (4 39) 1 with value (4 57)
% 6.07/6.22 ; 164 with value (4 23) 22 with value (4 40) 1 with value (4 60)
% 6.07/6.22 ; 159 with value (4 24) 16 with value (4 41) 1 with value (4 61)
% 6.07/6.22 ; 138 with value (4 25) 9 with value (4 42) 2 with value (4 62)
% 6.07/6.22 ; 155 with value (4 26) 9 with value (4 43) 1 with value (4 63)
% 6.07/6.22 ; 85 with value (4 27) 3 with value (4 44) 1 with value (4 64)
% 6.07/6.22 ; 124 with value (4 28) 8 with value (4 45) 2 with value (4 65)
% 6.07/6.22 ; 84 with value (4 29) 8 with value (4 46) 1 with value (4 69)
% 6.07/6.22 ; 50 with value (4 30) 14 with value (4 47) 1 with value (4 70)
% 6.07/6.22 ; 39 with value (4 31) 1 with value (4 48) 1 with value (4 77)
% 6.07/6.22 ; 54 with value (4 32) 2 with value (4 49)
% 6.07/6.22 Evaluation took:
% 6.07/6.22 5.73 seconds of real time
% 6.07/6.22 5.585959 seconds of user run time
% 6.07/6.22 0.144178 seconds of system run time
% 6.07/6.22 [Run times include 0.224 seconds GC run time.]
% 6.07/6.22 0 calls to %EVAL
% 6.07/6.22 0 page faults and
% 6.07/6.22 395,723,120 bytes consed.
% 6.07/6.22 :PROOF-FOUND
% 6.07/6.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:22:02
% 6.07/6.22 :PROOF-FOUND
% 6.07/6.22 *
%------------------------------------------------------------------------------