TSTP Solution File: KLE140+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE140+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 02:26:48 EDT 2022
% Result : Theorem 42.65s 42.90s
% Output : Refutation 42.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 10 equ; 4 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
cnf(16,axiom,
strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
cnf(18,axiom,
( ~ leq(X,addition(multiplication(Y,X),Z))
| leq(X,multiplication(strong_iteration(Y),Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).
cnf(21,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(22,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(23,negated_conjecture,
leq('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
~ leq(strong_iteration('SKOLEMAAAV1'),strong_iteration('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
addition('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[21,23]) ).
cnf(29,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[22,3]) ).
cnf(199,plain,
multiplication('SKOLEMAAAV2',X) = addition(multiplication('SKOLEMAAAV1',X),multiplication('SKOLEMAAAV2',X)),
inference('PARAMODULATE',[status(thm)],[8,25,theory(equality)]) ).
cnf(200,plain,
addition(multiplication('SKOLEMAAAV1',X),addition(multiplication('SKOLEMAAAV2',X),Y)) = addition(multiplication('SKOLEMAAAV2',X),Y),
inference('EMBED',[status(thm)],[199]) ).
cnf(870,plain,
leq(addition(X,multiplication('SKOLEMAAAV1',Y)),addition(multiplication('SKOLEMAAAV2',Y),X)),
inference('PARAMODULATE',[status(thm)],[29,200,theory(equality)]) ).
cnf(6559,plain,
leq(strong_iteration('SKOLEMAAAV1'),addition(multiplication('SKOLEMAAAV2',strong_iteration('SKOLEMAAAV1')),one)),
inference('PARAMODULATE',[status(thm)],[870,16,theory(equality)]) ).
cnf(9606,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,6559]),24,5,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE140+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 13:27:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:27:39
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T13:27:39
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49 ; Declaring addition to be commutative.
% 42.65/42.90 ; Declaring addition to be associative-commutative.
% 42.65/42.90
% 42.65/42.90 #||
% 42.65/42.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.65/42.90 % SZS output start Refutation
% See solution above
% 42.65/42.90 ||#
% 42.65/42.90
% 42.65/42.90 ; Summary of computation:
% 42.65/42.90 ; 67433 formulas have been input or derived (from 626 formulas).
% 42.65/42.90 ; 9606 (14%) were retained. Of these,
% 42.65/42.90 ; 1967 (20%) were simplified or subsumed later,
% 42.65/42.90 ; 7639 (80%) are still being kept.
% 42.65/42.90 ;
% 42.65/42.90 ; Run time in seconds excluding printing time:
% 42.65/42.90 ; 0.005 0% Read assertion file (1 call)
% 42.65/42.90 ; 0.001 0% Assert (19 calls)
% 42.65/42.90 ; 1.269 3% Process new row (65,241 calls)
% 42.65/42.90 ; 0.193 0% Resolution (1,250 calls)
% 42.65/42.90 ; 0.905 2% Paramodulation (625 calls)
% 42.65/42.90 ; 0.008 0% Embedding (535 calls)
% 42.65/42.90 ; 0.090 0% Condensing (3,910 calls)
% 42.65/42.90 ; 0.291 1% Forward subsumption (3,910 calls)
% 42.65/42.90 ; 0.157 0% Backward subsumption (1,724 calls)
% 42.65/42.90 ; 0.152 0% Clause clause subsumption (18,562 calls)
% 42.65/42.90 ; 38.433 91% Forward simplification (63,790 calls)
% 42.65/42.90 ; 0.421 1% Backward simplification (9,076 calls)
% 42.65/42.90 ; 0.196 0% Ordering (57,663 calls)
% 42.65/42.90 ; 0.058 0% Ordering ac (7,150 calls)
% 42.65/42.90 ; 0.000 0% Sortal reasoning (32 calls)
% 42.65/42.90 ; 0.000 0% Purity testing (1 call)
% 42.65/42.90 ; 0.236 1% Other
% 42.65/42.90 ; 42.415 Total
% 42.65/42.90 ; 42.419 Real time
% 42.65/42.90 ;
% 42.65/42.90 ; Term-hash-array has 17,865 terms in all.
% 42.65/42.90 ; Feature-vector-row-index has 1,519 entries (1,519 at peak, 1,724 added, 205 deleted).
% 42.65/42.90 ; Feature-vector-row-index has 10,971 nodes (10,971 at peak, 12,956 added, 1,985 deleted).
% 42.65/42.90 ; Retrieved 23,327 possibly forward subsuming rows in 3,910 calls.
% 42.65/42.90 ; Retrieved 2,432 possibly backward subsumed rows in 1,724 calls.
% 42.65/42.90 ; Path-index has 14,539 entries (14,539 at peak, 18,361 added, 3,822 deleted).
% 42.65/42.90 ; Path-index has 4,704 nodes (4,704 at peak, 5,281 added, 577 deleted).
% 42.65/42.90 ; Trie-index has 14,539 entries (14,539 at peak, 18,361 added, 3,822 deleted).
% 42.65/42.90 ; Trie-index has 5,310 nodes (5,316 at peak, 6,515 added, 1,205 deleted).
% 42.65/42.90 ; Retrieved 61,695,387 generalization terms in 430,092 calls.
% 42.65/42.90 ; Retrieved 47,798 instance terms in 7,384 calls.
% 42.65/42.90 ; Retrieved 220,958 unifiable terms in 5,506 calls.
% 42.65/42.90 ;
% 42.65/42.90 ; The agenda of rows to process has 1 entry:
% 42.65/42.90 ; 1 with value 25
% 42.65/42.90 ; The agenda of rows to give has 7078 entries:
% 42.65/42.90 ; 28 with value (4 17) 83 with value (4 35) 16 with value (4 52)
% 42.65/42.90 ; 300 with value (4 18) 81 with value (4 36) 7 with value (4 53)
% 42.65/42.90 ; 441 with value (4 19) 67 with value (4 37) 15 with value (4 54)
% 42.65/42.90 ; 423 with value (4 20) 63 with value (4 38) 14 with value (4 55)
% 42.65/42.90 ; 647 with value (4 21) 49 with value (4 39) 13 with value (4 56)
% 42.65/42.90 ; 633 with value (4 22) 49 with value (4 40) 3 with value (4 57)
% 42.65/42.90 ; 644 with value (4 23) 45 with value (4 41) 4 with value (4 58)
% 42.65/42.90 ; 553 with value (4 24) 44 with value (4 42) 1 with value (4 59)
% 42.65/42.90 ; 551 with value (4 25) 32 with value (4 43) 1 with value (4 60)
% 42.65/42.90 ; 425 with value (4 26) 28 with value (4 44) 3 with value (4 61)
% 42.65/42.90 ; 340 with value (4 27) 22 with value (4 45) 7 with value (4 62)
% 42.65/42.90 ; 304 with value (4 28) 29 with value (4 46) 5 with value (4 63)
% 42.65/42.90 ; 266 with value (4 29) 25 with value (4 47) 5 with value (4 64)
% 42.65/42.90 ; 242 with value (4 30) 12 with value (4 48) 2 with value (4 65)
% 42.65/42.90 ; 175 with value (4 31) 4 with value (4 49) 1 with value (4 69)
% 42.65/42.90 ; 155 with value (4 32) 13 with value (4 50) 1 with value (4 70)
% 42.65/42.90 ; 108 with value (4 33) 20 with value (4 51) 1 with value (4 77)
% 42.65/42.90 ; 78 with value (4 34)
% 42.65/42.90 Evaluation took:
% 42.65/42.90 42.421 seconds of real time
% 42.65/42.90 41.885555 seconds of user run time
% 42.65/42.90 0.533178 seconds of system run time
% 42.65/42.90 [Run times include 2.044 seconds GC run time.]
% 42.65/42.90 0 calls to %EVAL
% 42.65/42.90 0 page faults and
% 42.65/42.90 2,473,349,048 bytes consed.
% 42.65/42.90 :PROOF-FOUND
% 42.65/42.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:28:22
% 42.65/42.90 :PROOF-FOUND
% 42.65/42.90 *
%------------------------------------------------------------------------------