TSTP Solution File: KLE010+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 02:26:06 EDT 2022
% Result : Theorem 0.73s 0.89s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 33 unt; 0 nHn; 30 RR)
% Number of literals : 59 ( 32 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(18,axiom,
( complement(X,Y)
| multiplication(Y,X) != zero
| multiplication(X,Y) != zero
| addition(X,Y) != one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
( ~ leq(one,addition(multiplication('SKOLEMAAAV3','SKOLEMAAAV2'),addition(multiplication(c('SKOLEMAAAV3'),'SKOLEMAAAV2'),addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')))))))
| ~ leq(addition(multiplication('SKOLEMAAAV3','SKOLEMAAAV2'),addition(multiplication(c('SKOLEMAAAV3'),'SKOLEMAAAV2'),addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')))))),one) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(26,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[13,23]) ).
cnf(30,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(35,plain,
complement('SKOLEMAAAV2',c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[19,23,theory(equality)]) ).
cnf(77,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,25]) ).
cnf(79,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,25]) ).
cnf(80,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,25]) ).
cnf(82,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = one,
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(93,plain,
addition('SKOLEMAAAV2',c('SKOLEMAAAV2')) = one,
inference('HYPERRESOLVE',[status(thm)],[17,35]) ).
cnf(107,plain,
leq('SKOLEMAAAV3',one),
inference('PARAMODULATE',[status(thm)],[30,77,theory(equality)]) ).
cnf(111,plain,
X = addition(multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),X),multiplication('SKOLEMAAAV3',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,77,theory(equality)]),6,theory(equality)]) ).
cnf(113,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,77,theory(equality)]),5,theory(equality)]) ).
cnf(115,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,77,theory(equality)]),80,79,theory(equality)]) ).
cnf(116,plain,
addition('SKOLEMAAAV3',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,107]) ).
cnf(121,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,115,22]) ).
cnf(127,plain,
X = addition(multiplication(c('SKOLEMAAAV3'),X),multiplication('SKOLEMAAAV3',X)),
inference('REWRITE',[status(thm)],[111,121,theory(equality)]) ).
cnf(129,plain,
( ~ leq(one,addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')),'SKOLEMAAAV2'))))
| ~ leq(addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')),'SKOLEMAAAV2'))),one) ),
inference('REWRITE',[status(thm)],[24,127,theory(equality)]) ).
cnf(130,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[113,121,theory(equality)]) ).
cnf(132,plain,
~ leq(addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),one),one),
inference('REWRITE',[status(thm)],[129,30,93,130,theory(equality)]) ).
cnf(135,plain,
addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),one) != one,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,132]),2,theory(equality)]) ).
cnf(137,plain,
leq('SKOLEMAAAV2',one),
inference('PARAMODULATE',[status(thm)],[30,82,theory(equality)]) ).
cnf(146,plain,
addition('SKOLEMAAAV2',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,137]) ).
cnf(147,plain,
addition('SKOLEMAAAV2',addition(one,X)) = addition(one,X),
inference('EMBED',[status(thm)],[146]) ).
cnf(213,plain,
X = addition(multiplication(X,'SKOLEMAAAV3'),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,116,theory(equality)]),5,theory(equality)]) ).
cnf(214,plain,
addition(multiplication(X,'SKOLEMAAAV3'),addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[213]) ).
cnf(417,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[147,214,theory(equality)]),135,146,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.15 % Command : run-snark %s %d
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Thu Jun 16 15:13:02 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:13:02
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T15:13:02
% 0.22/0.53
% 0.22/0.53 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.53 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.53 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.53 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.53 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.53 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.53 ; Declaring addition to be commutative.
% 0.73/0.89 ; Declaring addition to be associative-commutative.
% 0.73/0.89
% 0.73/0.89 #||
% 0.73/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.89 % SZS output start Refutation
% See solution above
% 0.73/0.90 ||#
% 0.73/0.90
% 0.73/0.90 ; Summary of computation:
% 0.73/0.90 ; 3034 formulas have been input or derived (from 134 formulas).
% 0.73/0.90 ; 417 (14%) were retained. Of these,
% 0.73/0.90 ; 47 (11%) were simplified or subsumed later,
% 0.73/0.90 ; 370 (89%) are still being kept.
% 0.73/0.90 ;
% 0.73/0.90 ; Run time in seconds excluding printing time:
% 0.73/0.90 ; 0.005 1% Read assertion file (1 call)
% 0.73/0.90 ; 0.002 1% Assert (17 calls)
% 0.73/0.90 ; 0.049 13% Process new row (2,595 calls)
% 0.73/0.90 ; 0.018 5% Resolution (266 calls)
% 0.73/0.90 ; 0.039 10% Paramodulation (133 calls)
% 0.73/0.90 ; 0.000 0% Factoring (4 calls)
% 0.73/0.90 ; 0.001 0% Embedding (44 calls)
% 0.73/0.90 ; 0.034 9% Condensing (422 calls)
% 0.73/0.90 ; 0.017 4% Forward subsumption (422 calls)
% 0.73/0.90 ; 0.003 1% Backward subsumption (192 calls)
% 0.73/0.90 ; 0.010 3% Clause clause subsumption (917 calls)
% 0.73/0.90 ; 0.151 40% Forward simplification (2,530 calls)
% 0.73/0.90 ; 0.005 1% Backward simplification (376 calls)
% 0.73/0.90 ; 0.007 2% Ordering (1,804 calls)
% 0.73/0.90 ; 0.002 1% Ordering ac (255 calls)
% 0.73/0.90 ; 0.000 0% Sortal reasoning (32 calls)
% 0.73/0.90 ; 0.000 0% Purity testing (1 call)
% 0.73/0.90 ; 0.036 9% Other
% 0.73/0.90 ; 0.379 Total
% 0.73/0.90 ; 0.388 Real time
% 0.73/0.90 ;
% 0.73/0.90 ; Term-hash-array has 938 terms in all.
% 0.73/0.90 ; Feature-vector-row-index has 180 entries (180 at peak, 192 added, 12 deleted).
% 0.73/0.90 ; Feature-vector-row-index has 1,048 nodes (1,048 at peak, 1,154 added, 106 deleted).
% 0.73/0.90 ; Retrieved 1,122 possibly forward subsuming rows in 422 calls.
% 0.73/0.90 ; Retrieved 114 possibly backward subsumed rows in 192 calls.
% 0.73/0.90 ; Path-index has 856 entries (856 at peak, 954 added, 98 deleted).
% 0.73/0.90 ; Path-index has 487 nodes (487 at peak, 572 added, 85 deleted).
% 0.73/0.90 ; Trie-index has 856 entries (856 at peak, 954 added, 98 deleted).
% 0.73/0.90 ; Trie-index has 682 nodes (682 at peak, 789 added, 107 deleted).
% 0.73/0.90 ; Retrieved 123,519 generalization terms in 14,383 calls.
% 0.73/0.90 ; Retrieved 333 instance terms in 201 calls.
% 0.73/0.90 ; Retrieved 11,620 unifiable terms in 1,292 calls.
% 0.73/0.90 ;
% 0.73/0.90 ; The agenda of rows to process has 274 entries:
% 0.73/0.90 ; 5 with value 18 9 with value 30 6 with value 41
% 0.73/0.90 ; 18 with value 19 6 with value 31 1 with value 43
% 0.73/0.90 ; 17 with value 20 13 with value 32 2 with value 44
% 0.73/0.90 ; 18 with value 21 6 with value 33 1 with value 45
% 0.73/0.90 ; 16 with value 22 2 with value 34 2 with value 46
% 0.73/0.90 ; 19 with value 23 15 with value 35 1 with value 48
% 0.73/0.90 ; 14 with value 24 1 with value 36 4 with value 49
% 0.73/0.90 ; 17 with value 25 2 with value 37 1 with value 51
% 0.73/0.90 ; 11 with value 26 2 with value 38 4 with value 57
% 0.73/0.90 ; 20 with value 27 4 with value 39 4 with value 66
% 0.73/0.90 ; 19 with value 28 2 with value 40 2 with value 74
% 0.73/0.90 ; 10 with value 29
% 0.73/0.90 ; The agenda of rows to give has 247 entries:
% 0.73/0.90 ; 7 with value (4 15) 8 with value (4 28) 2 with value (4 51)
% 0.73/0.90 ; 19 with value (4 16) 5 with value (4 29) 4 with value (4 53)
% 0.73/0.90 ; 26 with value (4 17) 4 with value (4 30) 4 with value (4 55)
% 0.73/0.90 ; 16 with value (4 18) 1 with value (4 32) 2 with value (4 56)
% 0.73/0.90 ; 13 with value (4 19) 4 with value (4 33) 5 with value (4 59)
% 0.73/0.90 ; 16 with value (4 20) 9 with value (4 34) 1 with value (4 61)
% 0.73/0.90 ; 11 with value (4 21) 12 with value (4 36) 4 with value (4 63)
% 0.73/0.90 ; 4 with value (4 22) 4 with value (4 37) 2 with value (4 65)
% 0.73/0.90 ; 12 with value (4 23) 4 with value (4 38) 2 with value (4 77)
% 0.73/0.90 ; 6 with value (4 24) 8 with value (4 39) 2 with value (4 79)
% 0.73/0.90 ; 14 with value (4 25) 2 with value (4 41) 2 with value (4 97)
% 0.73/0.90 ; 3 with value (4 26) 4 with value (4 46) 1 with value (4 107)
% 0.73/0.90 ; 4 with value (4 27)
% 0.73/0.90 Evaluation took:
% 0.73/0.90 0.389 seconds of real time
% 0.73/0.90 0.357991 seconds of user run time
% 0.73/0.90 0.03063 seconds of system run time
% 0.73/0.90 [Run times include 0.012 seconds GC run time.]
% 0.73/0.90 0 calls to %EVAL
% 0.73/0.90 0 page faults and
% 0.73/0.90 27,556,376 bytes consed.
% 0.73/0.90 :PROOF-FOUND
% 0.73/0.90 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:13:03
% 0.73/0.90 :PROOF-FOUND
% 0.73/0.90 *
%------------------------------------------------------------------------------