TSTP Solution File: KLE038+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE038+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 02:26:20 EDT 2022
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 23 ( 15 equ; 4 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 : 28 ( 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(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
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(14,axiom,
leq(addition(one,multiplication(star(X),X)),star(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
cnf(17,negated_conjecture,
~ leq('SKOLEMAAAV1',star('SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(20,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(22,plain,
addition('SKOLEMAAAV1',star('SKOLEMAAAV1')) != star('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[12,17]) ).
cnf(27,plain,
addition(one,addition(multiplication(X,star(X)),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,13]) ).
cnf(29,plain,
addition(one,addition(multiplication(star(X),X),star(X))) = star(X),
inference('HYPERRESOLVE',[status(thm)],[11,14]) ).
cnf(112,plain,
leq(one,star(X)),
inference('PARAMODULATE',[status(thm)],[20,27,theory(equality)]) ).
cnf(131,plain,
star(X) = addition(one,star(X)),
inference('HYPERRESOLVE',[status(thm)],[11,112]) ).
cnf(135,plain,
addition(multiplication(star(X),X),star(X)) = star(X),
inference('REWRITE',[status(thm)],[29,131,theory(equality)]) ).
cnf(136,plain,
addition(multiplication(star(X),X),addition(star(X),Y)) = addition(star(X),Y),
inference('EMBED',[status(thm)],[135]) ).
cnf(141,plain,
multiplication(star(X),Y) = addition(Y,multiplication(star(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,131,theory(equality)]),6,theory(equality)]) ).
cnf(142,plain,
addition(X,addition(multiplication(star(Y),X),Z)) = addition(multiplication(star(Y),X),Z),
inference('EMBED',[status(thm)],[141]) ).
cnf(397,plain,
star(X) = addition(star(X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,142,theory(equality)]),135,theory(equality)]) ).
cnf(399,plain,
$false,
inference('REWRITE',[status(thm)],[22,397,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE038+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 09:36:05 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 2022-06-16T09:36:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-16T09:36:05
% 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).
% 0.19/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.49 ; Declaring addition to be commutative.
% 0.59/0.78 ; Declaring addition to be associative-commutative.
% 0.59/0.78
% 0.59/0.78 #||
% 0.59/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.78 % SZS output start Refutation
% See solution above
% 0.59/0.78 ||#
% 0.59/0.78
% 0.59/0.78 ; Summary of computation:
% 0.59/0.78 ; 2318 formulas have been input or derived (from 92 formulas).
% 0.59/0.78 ; 399 (17%) were retained. Of these,
% 0.59/0.78 ; 125 (31%) were simplified or subsumed later,
% 0.59/0.78 ; 274 (69%) are still being kept.
% 0.59/0.78 ;
% 0.59/0.78 ; Run time in seconds excluding printing time:
% 0.59/0.78 ; 0.004 1% Read assertion file (1 call)
% 0.59/0.78 ; 0.001 0% Assert (17 calls)
% 0.59/0.78 ; 0.037 12% Process new row (1,892 calls)
% 0.59/0.78 ; 0.012 4% Resolution (182 calls)
% 0.59/0.78 ; 0.035 11% Paramodulation (91 calls)
% 0.59/0.78 ; 0.000 0% Embedding (38 calls)
% 0.59/0.78 ; 0.018 6% Condensing (426 calls)
% 0.59/0.78 ; 0.016 5% Forward subsumption (426 calls)
% 0.59/0.78 ; 0.008 3% Backward subsumption (202 calls)
% 0.59/0.78 ; 0.023 7% Clause clause subsumption (1,468 calls)
% 0.59/0.78 ; 0.103 33% Forward simplification (1,824 calls)
% 0.59/0.78 ; 0.011 4% Backward simplification (364 calls)
% 0.59/0.78 ; 0.003 1% Ordering (1,254 calls)
% 0.59/0.78 ; 0.001 0% Ordering ac (169 calls)
% 0.59/0.78 ; 0.001 0% Sortal reasoning (32 calls)
% 0.59/0.78 ; 0.000 0% Purity testing (1 call)
% 0.59/0.78 ; 0.035 11% Other
% 0.59/0.78 ; 0.308 Total
% 0.59/0.78 ; 0.310 Real time
% 0.59/0.78 ;
% 0.59/0.78 ; Term-hash-array has 898 terms in all.
% 0.59/0.78 ; Feature-vector-row-index has 150 entries (150 at peak, 202 added, 52 deleted).
% 0.59/0.78 ; Feature-vector-row-index has 604 nodes (604 at peak, 903 added, 299 deleted).
% 0.59/0.78 ; Retrieved 1,344 possibly forward subsuming rows in 426 calls.
% 0.59/0.78 ; Retrieved 423 possibly backward subsumed rows in 202 calls.
% 0.59/0.78 ; Path-index has 670 entries (671 at peak, 917 added, 247 deleted).
% 0.59/0.78 ; Path-index has 619 nodes (641 at peak, 716 added, 97 deleted).
% 0.59/0.78 ; Trie-index has 670 entries (671 at peak, 917 added, 247 deleted).
% 0.59/0.78 ; Trie-index has 603 nodes (677 at peak, 830 added, 227 deleted).
% 0.59/0.78 ; Retrieved 59,452 generalization terms in 11,751 calls.
% 0.59/0.78 ; Retrieved 426 instance terms in 179 calls.
% 0.59/0.78 ; Retrieved 4,916 unifiable terms in 573 calls.
% 0.59/0.78 ;
% 0.59/0.78 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.59/0.78 ; 1 with value 0
% 0.59/0.78 ; The agenda of rows to process has 271 entries:
% 0.59/0.78 ; 7 with value 21 18 with value 31 6 with value 41
% 0.59/0.78 ; 11 with value 22 21 with value 32 6 with value 42
% 0.59/0.78 ; 6 with value 23 16 with value 33 5 with value 43
% 0.59/0.78 ; 9 with value 24 11 with value 34 5 with value 44
% 0.59/0.78 ; 9 with value 25 14 with value 35 3 with value 45
% 0.59/0.78 ; 8 with value 26 11 with value 36 3 with value 47
% 0.59/0.78 ; 7 with value 27 12 with value 37 2 with value 48
% 0.59/0.78 ; 16 with value 28 18 with value 38 3 with value 49
% 0.59/0.78 ; 13 with value 29 14 with value 39 1 with value 51
% 0.59/0.78 ; 7 with value 30 7 with value 40 2 with value 55
% 0.59/0.78 ; The agenda of rows to give has 211 entries:
% 0.59/0.78 ; 2 with value (4 15) 6 with value (4 25) 7 with value (4 35)
% 0.59/0.78 ; 1 with value (4 17) 24 with value (4 26) 6 with value (4 36)
% 0.59/0.78 ; 1 with value (4 18) 11 with value (4 27) 2 with value (4 37)
% 0.59/0.78 ; 6 with value (4 19) 26 with value (4 28) 3 with value (4 38)
% 0.59/0.78 ; 12 with value (4 20) 6 with value (4 29) 5 with value (4 39)
% 0.59/0.78 ; 5 with value (4 21) 15 with value (4 30) 4 with value (4 40)
% 0.59/0.78 ; 10 with value (4 22) 10 with value (4 31) 6 with value (4 42)
% 0.59/0.78 ; 22 with value (4 23) 4 with value (4 32) 2 with value (4 46)
% 0.59/0.78 ; 11 with value (4 24) 4 with value (4 34)
% 0.59/0.78 Evaluation took:
% 0.59/0.78 0.31 seconds of real time
% 0.59/0.78 0.293692 seconds of user run time
% 0.59/0.78 0.016644 seconds of system run time
% 0.59/0.78 [Run times include 0.006 seconds GC run time.]
% 0.59/0.78 0 calls to %EVAL
% 0.59/0.78 0 page faults and
% 0.59/0.78 23,788,008 bytes consed.
% 0.59/0.78 :PROOF-FOUND
% 0.59/0.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T09:36:05
% 0.59/0.78 :PROOF-FOUND
% 0.59/0.78 *
%------------------------------------------------------------------------------