TSTP Solution File: KLE150+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 02:26:53 EDT 2022
% Result : Theorem 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 5 RR)
% Number of literals : 19 ( 10 equ; 5 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 : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
cnf(9,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
cnf(10,axiom,
addition(one,multiplication(X,star(X))) = star(X),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
cnf(14,axiom,
( ~ leq(addition(multiplication(X,Y),Z),Y)
| leq(multiplication(star(X),Z),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
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(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(multiplication('SKOLEMAAAV1',zero)),addition(one,multiplication('SKOLEMAAAV1',zero)))
| ~ leq(addition(one,multiplication('SKOLEMAAAV1',zero)),strong_iteration(multiplication('SKOLEMAAAV1',zero))) ),
file('/export/starexec/sandbox2/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(146,plain,
leq(star(X),strong_iteration(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,16,theory(equality)]),5,25,theory(equality)]) ).
cnf(276,plain,
addition(one,multiplication(X,zero)) = star(multiplication(X,zero)),
inference('PARAMODULATE',[status(thm)],[10,82,theory(equality)]) ).
cnf(278,plain,
~ leq(strong_iteration(multiplication('SKOLEMAAAV1',zero)),star(multiplication('SKOLEMAAAV1',zero))),
inference('REWRITE',[status(thm)],[23,146,276,theory(equality)]) ).
cnf(279,plain,
strong_iteration(multiplication(X,zero)) = star(multiplication(X,zero)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,82,theory(equality)]),276,theory(equality)]) ).
cnf(280,plain,
$false,
inference('REWRITE',[status(thm)],[278,25,279,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jun 16 08:47:05 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52 *
% 0.22/0.52 *
% 0.22/0.53 #<PACKAGE "SNARK-USER">
% 0.22/0.53 *
% 0.22/0.53 SNARK-TPTP-OPTIONS
% 0.22/0.53 *
% 0.22/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.53 (USE-FACTORING :POS)
% 0.22/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.53 *
% 0.22/0.53 "."
% 0.22/0.53 *
% 0.22/0.53 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:47:05
% 0.22/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T08:47:05
% 0.22/0.54
% 0.22/0.54 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.54 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.54 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.54 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.54 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.54 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.54 ; Declaring addition to be commutative.
% 0.54/0.74 ; Declaring addition to be associative-commutative.
% 0.54/0.74
% 0.54/0.74 #||
% 0.54/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 % SZS output start Refutation
% See solution above
% 0.54/0.74 ||#
% 0.54/0.74
% 0.54/0.74 ; Summary of computation:
% 0.54/0.74 ; 1047 formulas have been input or derived (from 50 formulas).
% 0.54/0.74 ; 280 (27%) were retained. Of these,
% 0.54/0.74 ; 26 ( 9%) were simplified or subsumed later,
% 0.54/0.74 ; 254 (91%) are still being kept.
% 0.54/0.74 ;
% 0.54/0.74 ; Run time in seconds excluding printing time:
% 0.54/0.74 ; 0.005 2% Read assertion file (1 call)
% 0.54/0.74 ; 0.001 0% Assert (19 calls)
% 0.54/0.74 ; 0.033 16% Process new row (976 calls)
% 0.54/0.74 ; 0.004 2% Resolution (98 calls)
% 0.54/0.74 ; 0.025 12% Paramodulation (49 calls)
% 0.54/0.74 ; 0.000 0% Embedding (55 calls)
% 0.54/0.74 ; 0.008 4% Condensing (204 calls)
% 0.54/0.74 ; 0.008 4% Forward subsumption (204 calls)
% 0.54/0.74 ; 0.001 0% Backward subsumption (108 calls)
% 0.54/0.74 ; 0.005 2% Clause clause subsumption (320 calls)
% 0.54/0.74 ; 0.075 36% Forward simplification (924 calls)
% 0.54/0.74 ; 0.009 4% Backward simplification (228 calls)
% 0.54/0.74 ; 0.005 2% Ordering (1,433 calls)
% 0.54/0.74 ; 0.005 2% Ordering ac (433 calls)
% 0.54/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.74 ; 0.000 0% Purity testing (1 call)
% 0.54/0.74 ; 0.027 13% Other
% 0.54/0.74 ; 0.211 Total
% 0.54/0.74 ; 0.213 Real time
% 0.54/0.74 ;
% 0.54/0.74 ; Term-hash-array has 720 terms in all.
% 0.54/0.74 ; Feature-vector-row-index has 107 entries (108 at peak, 108 added, 1 deleted).
% 0.54/0.74 ; Feature-vector-row-index has 655 nodes (673 at peak, 673 added, 18 deleted).
% 0.54/0.74 ; Retrieved 356 possibly forward subsuming rows in 204 calls.
% 0.54/0.74 ; Retrieved 26 possibly backward subsumed rows in 108 calls.
% 0.54/0.74 ; Path-index has 670 entries (675 at peak, 735 added, 65 deleted).
% 0.54/0.74 ; Path-index has 552 nodes (560 at peak, 578 added, 26 deleted).
% 0.54/0.74 ; Trie-index has 670 entries (675 at peak, 735 added, 65 deleted).
% 0.54/0.74 ; Trie-index has 499 nodes (516 at peak, 534 added, 35 deleted).
% 0.54/0.74 ; Retrieved 76,503 generalization terms in 8,039 calls.
% 0.54/0.74 ; Retrieved 479 instance terms in 152 calls.
% 0.54/0.74 ; Retrieved 3,558 unifiable terms in 287 calls.
% 0.54/0.74 ;
% 0.54/0.74 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.54/0.74 ; 1 with value 0
% 0.54/0.74 ; The agenda of rows to process has 9 entries:
% 0.54/0.74 ; 1 with value 17 1 with value 21 2 with value 24
% 0.54/0.74 ; 1 with value 18 1 with value 23 1 with value 25
% 0.54/0.74 ; 2 with value 19
% 0.54/0.74 ; The agenda of rows to give has 205 entries:
% 0.54/0.74 ; 4 with value (4 13) 5 with value (4 21) 24 with value (4 28)
% 0.54/0.74 ; 11 with value (4 14) 8 with value (4 22) 2 with value (4 29)
% 0.54/0.74 ; 12 with value (4 15) 3 with value (4 23) 1 with value (4 30)
% 0.54/0.74 ; 5 with value (4 16) 7 with value (4 24) 3 with value (4 32)
% 0.54/0.74 ; 22 with value (4 17) 7 with value (4 25) 3 with value (4 33)
% 0.54/0.74 ; 11 with value (4 18) 18 with value (4 26) 5 with value (4 35)
% 0.54/0.74 ; 25 with value (4 19) 10 with value (4 27) 1 with value (4 40)
% 0.54/0.74 ; 18 with value (4 20)
% 0.54/0.74 Evaluation took:
% 0.54/0.74 0.213 seconds of real time
% 0.54/0.74 0.196189 seconds of user run time
% 0.54/0.74 0.01683 seconds of system run time
% 0.54/0.74 0 calls to %EVAL
% 0.54/0.74 0 page faults and
% 0.54/0.74 11,913,152 bytes consed.
% 0.54/0.74 :PROOF-FOUND
% 0.54/0.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:47:05
% 0.54/0.74 :PROOF-FOUND
% 0.54/0.74 *
%------------------------------------------------------------------------------