%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE040+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 02:26:21 EDT 2022
% Result : Theorem 0.38s 0.60s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 18 unt; 0 nHn; 6 RR)
% Number of literals : 26 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_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/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
cnf(13,axiom,
leq(addition(one,multiplication(X,star(X))),star(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
cnf(15,axiom,
( ~ leq(addition(multiplication(X,Y),Z),Y)
| leq(multiplication(star(X),Z),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
cnf(17,negated_conjecture,
( ~ leq(multiplication(star('SKOLEMAAAV1'),star('SKOLEMAAAV1')),star('SKOLEMAAAV1'))
| ~ leq(star('SKOLEMAAAV1'),multiplication(star('SKOLEMAAAV1'),star('SKOLEMAAAV1'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(19,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(20,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(26,plain,
addition(one,addition(multiplication(X,star(X)),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,13]) ).
cnf(111,plain,
leq(one,star(X)),
inference('PARAMODULATE',[status(thm)],[20,26,theory(equality)]) ).
cnf(119,plain,
leq(addition(star(X),multiplication(star(X),star(X))),star(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,26,theory(equality)]),5,7,19,theory(equality)]) ).
cnf(130,plain,
star(X) = addition(one,star(X)),
inference('HYPERRESOLVE',[status(thm)],[11,111]) ).
cnf(140,plain,
multiplication(star(X),Y) = addition(Y,multiplication(star(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,130,theory(equality)]),6,theory(equality)]) ).
cnf(144,plain,
leq(multiplication(star(X),star(X)),star(X)),
inference('REWRITE',[status(thm)],[119,140,theory(equality)]) ).
cnf(145,plain,
~ leq(star('SKOLEMAAAV1'),multiplication(star('SKOLEMAAAV1'),star('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[17,144]) ).
cnf(146,plain,
multiplication(X,star(Y)) = addition(X,multiplication(X,star(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,130,theory(equality)]),5,theory(equality)]) ).
cnf(150,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,145]),146,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE040+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 09:27:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-16T09:27:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-16T09:27:22
% 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.
% 0.38/0.60 ; Declaring addition to be associative-commutative.
% 0.38/0.60
% 0.38/0.60 #||
% 0.38/0.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.60 % SZS output start Refutation
% See solution above
% 0.38/0.60 ||#
% 0.38/0.60
% 0.38/0.60 ; Summary of computation:
% 0.38/0.60 ; 793 formulas have been input or derived (from 46 formulas).
% 0.38/0.60 ; 150 (19%) were retained. Of these,
% 0.38/0.60 ; 56 (37%) were simplified or subsumed later,
% 0.38/0.60 ; 94 (63%) are still being kept.
% 0.38/0.60 ;
% 0.38/0.60 ; Run time in seconds excluding printing time:
% 0.38/0.60 ; 0.004 3% Read assertion file (1 call)
% 0.38/0.60 ; 0.001 1% Assert (17 calls)
% 0.38/0.60 ; 0.019 15% Process new row (732 calls)
% 0.38/0.60 ; 0.003 2% Resolution (90 calls)
% 0.38/0.60 ; 0.017 13% Paramodulation (45 calls)
% 0.38/0.60 ; 0.000 0% Embedding (26 calls)
% 0.38/0.60 ; 0.009 7% Condensing (133 calls)
% 0.38/0.60 ; 0.006 5% Forward subsumption (133 calls)
% 0.38/0.60 ; 0.002 2% Backward subsumption (55 calls)
% 0.38/0.60 ; 0.004 3% Clause clause subsumption (210 calls)
% 0.38/0.60 ; 0.034 27% Forward simplification (703 calls)
% 0.38/0.60 ; 0.004 3% Backward simplification (127 calls)
% 0.38/0.60 ; 0.000 0% Ordering (483 calls)
% 0.38/0.60 ; 0.000 0% Ordering ac (67 calls)
% 0.38/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.38/0.60 ; 0.000 0% Purity testing (1 call)
% 0.38/0.60 ; 0.023 18% Other
% 0.38/0.60 ; 0.127 Total
% 0.38/0.60 ; 0.129 Real time
% 0.38/0.60 ;
% 0.38/0.60 ; Term-hash-array has 369 terms in all.
% 0.38/0.60 ; Feature-vector-row-index has 40 entries (45 at peak, 55 added, 15 deleted).
% 0.38/0.60 ; Feature-vector-row-index has 184 nodes (247 at peak, 328 added, 144 deleted).
% 0.38/0.60 ; Retrieved 251 possibly forward subsuming rows in 133 calls.
% 0.38/0.60 ; Retrieved 17 possibly backward subsumed rows in 55 calls.
% 0.38/0.60 ; Path-index has 269 entries (287 at peak, 387 added, 118 deleted).
% 0.38/0.60 ; Path-index has 327 nodes (341 at peak, 386 added, 59 deleted).
% 0.38/0.60 ; Trie-index has 269 entries (287 at peak, 387 added, 118 deleted).
% 0.38/0.60 ; Trie-index has 284 nodes (291 at peak, 358 added, 74 deleted).
% 0.38/0.60 ; Retrieved 17,585 generalization terms in 4,161 calls.
% 0.38/0.60 ; Retrieved 172 instance terms in 89 calls.
% 0.38/0.60 ; Retrieved 1,641 unifiable terms in 275 calls.
% 0.38/0.60 ;
% 0.38/0.60 ; The agenda of rows to give has 62 entries:
% 0.38/0.60 ; 2 with value (4 13) 5 with value (4 20) 5 with value (4 27)
% 0.38/0.60 ; 1 with value (4 14) 3 with value (4 21) 14 with value (4 28)
% 0.38/0.60 ; 4 with value (4 15) 2 with value (4 22) 1 with value (4 29)
% 0.38/0.60 ; 1 with value (4 16) 4 with value (4 23) 2 with value (4 30)
% 0.38/0.60 ; 4 with value (4 17) 1 with value (4 25) 2 with value (4 35)
% 0.38/0.60 ; 6 with value (4 19) 5 with value (4 26)
% 0.38/0.60 Evaluation took:
% 0.38/0.60 0.131 seconds of real time
% 0.38/0.60 0.116844 seconds of user run time
% 0.38/0.60 0.013031 seconds of system run time
% 0.38/0.60 0 calls to %EVAL
% 0.38/0.60 0 page faults and
% 0.38/0.60 8,910,176 bytes consed.
% 0.38/0.60 :PROOF-FOUND
% 0.38/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T09:27:22
% 0.38/0.60 :PROOF-FOUND
% 0.38/0.60 *
%------------------------------------------------------------------------------