TSTP Solution File: KLE167+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 02:26:58 EDT 2022
% Result : Theorem 3.63s 3.79s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 14 unt; 0 nHn; 7 RR)
% Number of literals : 22 ( 12 equ; 6 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
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(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
cnf(10,axiom,
addition(one,multiplication(X,star(X))) = star(X),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
cnf(11,plain,
addition(one,addition(multiplication(X,star(X)),Y)) = addition(star(X),Y),
inference('EMBED',[status(thm)],[10]) ).
cnf(15,axiom,
( ~ leq(addition(multiplication(X,Y),Z),X)
| leq(multiplication(Z,star(Y)),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction2) ).
cnf(22,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(23,negated_conjecture,
( multiplication('SKOLEMAAAV1','SKOLEMAAAV2') = zero
| ~ leq('SKOLEMAAAV1',multiplication('SKOLEMAAAV1',star('SKOLEMAAAV2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
( ~ leq(multiplication('SKOLEMAAAV1',star('SKOLEMAAAV2')),'SKOLEMAAAV1')
| ~ leq('SKOLEMAAAV1',multiplication('SKOLEMAAAV1',star('SKOLEMAAAV2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[22,2]) ).
cnf(36,plain,
addition(star(X),one) = star(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,11,theory(equality)]),10,theory(equality)]) ).
cnf(233,plain,
multiplication(X,star(Y)) = addition(X,multiplication(X,star(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,36,theory(equality)]),5,theory(equality)]) ).
cnf(2829,plain,
leq(X,multiplication(X,star(Y))),
inference('HYPERRESOLVE',[status(thm)],[22,233]) ).
cnf(2830,plain,
multiplication('SKOLEMAAAV1','SKOLEMAAAV2') = zero,
inference('REWRITE',[status(thm)],[23,2829]) ).
cnf(2831,plain,
~ leq(multiplication('SKOLEMAAAV1',star('SKOLEMAAAV2')),'SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[24,2829]) ).
cnf(2953,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,2831]),26,1,2830,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 14:46:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T14:46:39
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-16T14:46:39
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.48 ; Declaring addition to be commutative.
% 3.63/3.79 ; Declaring addition to be associative-commutative.
% 3.63/3.79
% 3.63/3.79 #||
% 3.63/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.63/3.79 % SZS output start Refutation
% See solution above
% 3.63/3.80 ||#
% 3.63/3.80
% 3.63/3.80 ; Summary of computation:
% 3.63/3.80 ; 18191 formulas have been input or derived (from 258 formulas).
% 3.63/3.80 ; 2953 (16%) were retained. Of these,
% 3.63/3.80 ; 646 (22%) were simplified or subsumed later,
% 3.63/3.80 ; 2307 (78%) are still being kept.
% 3.63/3.80 ;
% 3.63/3.80 ; Run time in seconds excluding printing time:
% 3.63/3.80 ; 0.005 0% Read assertion file (1 call)
% 3.63/3.80 ; 0.001 0% Assert (19 calls)
% 3.63/3.80 ; 0.276 8% Process new row (17,453 calls)
% 3.63/3.80 ; 0.040 1% Resolution (514 calls)
% 3.63/3.80 ; 0.242 7% Paramodulation (257 calls)
% 3.63/3.80 ; 0.000 0% Embedding (223 calls)
% 3.63/3.80 ; 0.056 2% Condensing (1,545 calls)
% 3.63/3.80 ; 0.078 2% Forward subsumption (1,545 calls)
% 3.63/3.80 ; 0.024 1% Backward subsumption (775 calls)
% 3.63/3.80 ; 0.057 2% Clause clause subsumption (6,128 calls)
% 3.63/3.80 ; 2.309 69% Forward simplification (16,480 calls)
% 3.63/3.80 ; 0.102 3% Backward simplification (2,735 calls)
% 3.63/3.80 ; 0.047 1% Ordering (11,959 calls)
% 3.63/3.80 ; 0.018 1% Ordering ac (1,840 calls)
% 3.63/3.80 ; 0.000 0% Sortal reasoning (32 calls)
% 3.63/3.80 ; 0.000 0% Purity testing (1 call)
% 3.63/3.80 ; 0.076 2% Other
% 3.63/3.80 ; 3.331 Total
% 3.63/3.80 ; 3.333 Real time
% 3.63/3.80 ;
% 3.63/3.80 ; Term-hash-array has 5,685 terms in all.
% 3.63/3.80 ; Feature-vector-row-index has 694 entries (694 at peak, 775 added, 81 deleted).
% 3.63/3.80 ; Feature-vector-row-index has 4,668 nodes (4,679 at peak, 5,365 added, 697 deleted).
% 3.63/3.80 ; Retrieved 6,871 possibly forward subsuming rows in 1,545 calls.
% 3.63/3.80 ; Retrieved 1,175 possibly backward subsumed rows in 775 calls.
% 3.63/3.80 ; Path-index has 4,594 entries (4,594 at peak, 5,809 added, 1,215 deleted).
% 3.63/3.80 ; Path-index has 2,630 nodes (2,630 at peak, 2,952 added, 322 deleted).
% 3.63/3.80 ; Trie-index has 4,594 entries (4,594 at peak, 5,809 added, 1,215 deleted).
% 3.63/3.80 ; Trie-index has 2,162 nodes (2,162 at peak, 2,708 added, 546 deleted).
% 3.63/3.80 ; Retrieved 3,447,267 generalization terms in 103,725 calls.
% 3.63/3.80 ; Retrieved 8,847 instance terms in 1,992 calls.
% 3.63/3.80 ; Retrieved 49,654 unifiable terms in 2,052 calls.
% 3.63/3.80 ;
% 3.63/3.80 ; The agenda of rows to process has 2 entries:
% 3.63/3.80 ; 1 with value 13 1 with value 14
% 3.63/3.80 ; The agenda of rows to give has 2077 entries:
% 3.63/3.80 ; 1 with value (4 9) 119 with value (4 25) 18 with value (4 40)
% 3.63/3.80 ; 2 with value (4 11) 140 with value (4 26) 11 with value (4 41)
% 3.63/3.80 ; 1 with value (4 12) 82 with value (4 27) 10 with value (4 42)
% 3.63/3.80 ; 1 with value (4 13) 109 with value (4 28) 11 with value (4 43)
% 3.63/3.80 ; 3 with value (4 14) 79 with value (4 29) 2 with value (4 44)
% 3.63/3.80 ; 1 with value (4 15) 44 with value (4 30) 5 with value (4 45)
% 3.63/3.80 ; 4 with value (4 16) 36 with value (4 31) 6 with value (4 46)
% 3.63/3.80 ; 79 with value (4 17) 45 with value (4 32) 7 with value (4 47)
% 3.63/3.80 ; 114 with value (4 18) 33 with value (4 33) 2 with value (4 49)
% 3.63/3.80 ; 159 with value (4 19) 29 with value (4 34) 4 with value (4 50)
% 3.63/3.80 ; 124 with value (4 20) 19 with value (4 35) 3 with value (4 51)
% 3.63/3.80 ; 177 with value (4 21) 27 with value (4 36) 1 with value (4 52)
% 3.63/3.80 ; 208 with value (4 22) 16 with value (4 37) 3 with value (4 55)
% 3.63/3.80 ; 154 with value (4 23) 16 with value (4 38) 1 with value (4 56)
% 3.63/3.80 ; 146 with value (4 24) 24 with value (4 39) 1 with value (4 62)
% 3.63/3.80 Evaluation took:
% 3.63/3.80 3.334 seconds of real time
% 3.63/3.80 3.203097 seconds of user run time
% 3.63/3.80 0.131109 seconds of system run time
% 3.63/3.80 [Run times include 0.135 seconds GC run time.]
% 3.63/3.80 0 calls to %EVAL
% 3.63/3.80 0 page faults and
% 3.63/3.80 216,104,848 bytes consed.
% 3.63/3.80 :PROOF-FOUND
% 3.63/3.80 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T14:46:43
% 3.63/3.80 :PROOF-FOUND
% 3.63/3.80 *
%------------------------------------------------------------------------------