TSTP Solution File: KLE026+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE026+2 : 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 02:26:15 EDT 2022
% Result : Theorem 10.78s 10.99s
% Output : Refutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 17 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 12 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+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/KLE001+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
multiplication('SKOLEMAAAV3','SKOLEMAAAV2') = multiplication(multiplication('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
~ leq(multiplication('SKOLEMAAAV3','SKOLEMAAAV2'),multiplication('SKOLEMAAAV2','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(29,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(33,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(117,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(225,plain,
leq('SKOLEMAAAV3',one),
inference('PARAMODULATE',[status(thm)],[33,117,theory(equality)]) ).
cnf(234,plain,
addition(one,'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[11,225]) ).
cnf(331,plain,
X = addition(X,multiplication('SKOLEMAAAV3',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,234,theory(equality)]),6,theory(equality)]) ).
cnf(576,plain,
leq(multiplication('SKOLEMAAAV3',X),X),
inference('HYPERRESOLVE',[status(thm)],[12,331]) ).
cnf(596,plain,
leq(multiplication(multiplication('SKOLEMAAAV3',X),Y),multiplication(X,Y)),
inference('PARAMODULATE',[status(thm)],[576,4,theory(equality)]) ).
cnf(2820,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[596,26,theory(equality)]),27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 14:23:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T14:23:54
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T14:23:54
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.51 ; Declaring addition to be commutative.
% 10.78/10.99 ; Declaring addition to be associative-commutative.
% 10.78/10.99
% 10.78/10.99 #||
% 10.78/10.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.78/10.99 % SZS output start Refutation
% See solution above
% 10.78/10.99 ||#
% 10.78/10.99
% 10.78/10.99 ; Summary of computation:
% 10.78/10.99 ; 25945 formulas have been input or derived (from 333 formulas).
% 10.78/10.99 ; 2820 (11%) were retained. Of these,
% 10.78/10.99 ; 324 (11%) were simplified or subsumed later,
% 10.78/10.99 ; 2496 (89%) are still being kept.
% 10.78/10.99 ;
% 10.78/10.99 ; Run time in seconds excluding printing time:
% 10.78/10.99 ; 0.006 0% Read assertion file (1 call)
% 10.78/10.99 ; 0.001 0% Assert (19 calls)
% 10.78/10.99 ; 0.327 3% Process new row (25,227 calls)
% 10.78/10.99 ; 0.134 1% Resolution (664 calls)
% 10.78/10.99 ; 0.311 3% Paramodulation (332 calls)
% 10.78/10.99 ; 0.000 0% Factoring (42 calls)
% 10.78/10.99 ; 0.003 0% Embedding (167 calls)
% 10.78/10.99 ; 0.098 1% Condensing (3,636 calls)
% 10.78/10.99 ; 0.150 1% Forward subsumption (3,636 calls)
% 10.78/10.99 ; 0.042 0% Backward subsumption (1,155 calls)
% 10.78/10.99 ; 0.055 1% Clause clause subsumption (11,624 calls)
% 10.78/10.99 ; 9.147 87% Forward simplification (24,961 calls)
% 10.78/10.99 ; 0.049 0% Backward simplification (2,668 calls)
% 10.78/10.99 ; 0.051 0% Ordering (25,841 calls)
% 10.78/10.99 ; 0.006 0% Ordering ac (1,893 calls)
% 10.78/10.99 ; 0.001 0% Sortal reasoning (32 calls)
% 10.78/10.99 ; 0.000 0% Purity testing (1 call)
% 10.78/10.99 ; 0.111 1% Other
% 10.78/10.99 ; 10.492 Total
% 10.78/10.99 ; 10.494 Real time
% 10.78/10.99 ;
% 10.78/10.99 ; Term-hash-array has 5,835 terms in all.
% 10.78/10.99 ; Feature-vector-row-index has 1,060 entries (1,060 at peak, 1,155 added, 95 deleted).
% 10.78/10.99 ; Feature-vector-row-index has 4,766 nodes (4,766 at peak, 5,419 added, 653 deleted).
% 10.78/10.99 ; Retrieved 15,202 possibly forward subsuming rows in 3,636 calls.
% 10.78/10.99 ; Retrieved 1,847 possibly backward subsumed rows in 1,155 calls.
% 10.78/10.99 ; Path-index has 5,303 entries (5,303 at peak, 5,898 added, 595 deleted).
% 10.78/10.99 ; Path-index has 1,469 nodes (1,469 at peak, 1,675 added, 206 deleted).
% 10.78/10.99 ; Trie-index has 5,303 entries (5,303 at peak, 5,898 added, 595 deleted).
% 10.78/10.99 ; Trie-index has 2,863 nodes (2,863 at peak, 3,375 added, 512 deleted).
% 10.78/10.99 ; Retrieved 11,041,315 generalization terms in 169,920 calls.
% 10.78/10.99 ; Retrieved 5,000 instance terms in 1,536 calls.
% 10.78/10.99 ; Retrieved 106,824 unifiable terms in 3,746 calls.
% 10.78/10.99 ;
% 10.78/10.99 ; The agenda of rows to process has 92 entries:
% 10.78/10.99 ; 8 with value 17 2 with value 21 14 with value 25
% 10.78/10.99 ; 5 with value 18 18 with value 22 5 with value 26
% 10.78/10.99 ; 5 with value 19 7 with value 23 6 with value 27
% 10.78/10.99 ; 5 with value 20 14 with value 24 3 with value 29
% 10.78/10.99 ; The agenda of rows to give has 2184 entries:
% 10.78/10.99 ; 89 with value (4 19) 32 with value (4 38) 2 with value (4 60)
% 10.78/10.99 ; 131 with value (4 20) 21 with value (4 39) 5 with value (4 61)
% 10.78/10.99 ; 119 with value (4 21) 20 with value (4 40) 4 with value (4 62)
% 10.78/10.99 ; 126 with value (4 22) 10 with value (4 41) 8 with value (4 63)
% 10.78/10.99 ; 185 with value (4 23) 18 with value (4 42) 8 with value (4 65)
% 10.78/10.99 ; 166 with value (4 24) 12 with value (4 43) 8 with value (4 67)
% 10.78/10.99 ; 208 with value (4 25) 16 with value (4 44) 8 with value (4 68)
% 10.78/10.99 ; 92 with value (4 26) 12 with value (4 45) 12 with value (4 70)
% 10.78/10.99 ; 145 with value (4 27) 2 with value (4 46) 4 with value (4 73)
% 10.78/10.99 ; 93 with value (4 28) 12 with value (4 47) 10 with value (4 77)
% 10.78/10.99 ; 81 with value (4 29) 8 with value (4 48) 2 with value (4 79)
% 10.78/10.99 ; 57 with value (4 30) 2 with value (4 51) 8 with value (4 84)
% 10.78/10.99 ; 52 with value (4 31) 4 with value (4 52) 4 with value (4 91)
% 10.78/10.99 ; 72 with value (4 32) 8 with value (4 53) 8 with value (4 93)
% 10.78/10.99 ; 64 with value (4 33) 4 with value (4 54) 8 with value (4 97)
% 10.78/10.99 ; 61 with value (4 34) 4 with value (4 55) 8 with value (4 104)
% 10.78/10.99 ; 41 with value (4 35) 8 with value (4 56) 1 with value (4 107)
% 10.78/10.99 ; 55 with value (4 36) 12 with value (4 58) 4 with value (4 111)
% 10.78/10.99 ; 25 with value (4 37) 5 with value (4 59)
% 10.78/10.99 Evaluation took:
% 10.78/10.99 10.495 seconds of real time
% 10.78/10.99 10.294111 seconds of user run time
% 10.78/10.99 0.201095 seconds of system run time
% 10.78/10.99 [Run times include 0.527 seconds GC run time.]
% 10.78/10.99 0 calls to %EVAL
% 10.78/10.99 0 page faults and
% 10.78/10.99 1,227,299,360 bytes consed.
% 10.78/10.99 :PROOF-FOUND
% 10.78/10.99 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T14:24:05
% 10.78/10.99 :PROOF-FOUND
% 10.78/10.99 *
%------------------------------------------------------------------------------