TSTP Solution File: KLE148+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE148+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 02:26:52 EDT 2022
% Result : Theorem 73.05s 73.21s
% Output : Refutation 73.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 18 unt; 0 nHn; 7 RR)
% Number of literals : 24 ( 17 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',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/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
cnf(9,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
cnf(16,axiom,
strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
cnf(17,plain,
addition(multiplication(X,strong_iteration(X)),addition(one,Y)) = addition(strong_iteration(X),Y),
inference('EMBED',[status(thm)],[16]) ).
cnf(22,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
cnf(23,negated_conjecture,
( multiplication('SKOLEMAAAW1','SKOLEMAAAW2') = zero
| ~ leq('SKOLEMAAAW1',multiplication('SKOLEMAAAW1',strong_iteration('SKOLEMAAAW2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
( ~ leq(multiplication('SKOLEMAAAW1',strong_iteration('SKOLEMAAAW2')),'SKOLEMAAAW1')
| ~ leq('SKOLEMAAAW1',multiplication('SKOLEMAAAW1',strong_iteration('SKOLEMAAAW2'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(67,plain,
addition(strong_iteration(X),one) = strong_iteration(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(115,plain,
multiplication(X,strong_iteration(Y)) = addition(X,multiplication(X,multiplication(Y,strong_iteration(Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]),5,theory(equality)]) ).
cnf(247,plain,
multiplication(X,strong_iteration(Y)) = addition(X,multiplication(X,strong_iteration(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,67,theory(equality)]),5,theory(equality)]) ).
cnf(3345,plain,
leq(X,multiplication(X,strong_iteration(Y))),
inference('HYPERRESOLVE',[status(thm)],[22,247]) ).
cnf(3346,plain,
multiplication('SKOLEMAAAW1','SKOLEMAAAW2') = zero,
inference('REWRITE',[status(thm)],[23,3345]) ).
cnf(3347,plain,
~ leq(multiplication('SKOLEMAAAW1',strong_iteration('SKOLEMAAAW2')),'SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[24,3345]) ).
cnf(3465,plain,
multiplication('SKOLEMAAAW1',multiplication('SKOLEMAAAW2',X)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,3346,theory(equality)]),9,theory(equality)]) ).
cnf(3471,plain,
multiplication('SKOLEMAAAW1',strong_iteration('SKOLEMAAAW2')) != 'SKOLEMAAAW1',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[22,3347]),247,theory(equality)]) ).
cnf(10719,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[115,3465,theory(equality)]),3471,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE148+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 13:40:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T13:40:39
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T13:40:39
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.50 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.50 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.50 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.50 ; Declaring addition to be commutative.
% 73.05/73.21 ; Declaring addition to be associative-commutative.
% 73.05/73.21
% 73.05/73.21 #||
% 73.05/73.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.05/73.21 % SZS output start Refutation
% See solution above
% 73.05/73.21 ||#
% 73.05/73.21
% 73.05/73.21 ; Summary of computation:
% 73.05/73.21 ; 81271 formulas have been input or derived (from 586 formulas).
% 73.05/73.21 ; 10719 (13%) were retained. Of these,
% 73.05/73.21 ; 2166 (20%) were simplified or subsumed later,
% 73.05/73.21 ; 8553 (80%) are still being kept.
% 73.05/73.21 ;
% 73.05/73.21 ; Run time in seconds excluding printing time:
% 73.05/73.21 ; 0.004 0% Read assertion file (1 call)
% 73.05/73.21 ; 0.001 0% Assert (19 calls)
% 73.05/73.21 ; 1.825 3% Process new row (78,525 calls)
% 73.05/73.21 ; 0.251 0% Resolution (1,170 calls)
% 73.05/73.21 ; 1.162 2% Paramodulation (585 calls)
% 73.05/73.21 ; 0.009 0% Embedding (498 calls)
% 73.05/73.21 ; 0.140 0% Condensing (3,568 calls)
% 73.05/73.21 ; 0.400 1% Forward subsumption (3,568 calls)
% 73.05/73.21 ; 0.130 0% Backward subsumption (1,675 calls)
% 73.05/73.21 ; 0.188 0% Clause clause subsumption (21,459 calls)
% 73.05/73.21 ; 66.664 92% Forward simplification (76,866 calls)
% 73.05/73.21 ; 1.059 1% Backward simplification (10,227 calls)
% 73.05/73.21 ; 0.335 0% Ordering (83,207 calls)
% 73.05/73.21 ; 0.188 0% Ordering ac (13,678 calls)
% 73.05/73.21 ; 0.000 0% Sortal reasoning (32 calls)
% 73.05/73.21 ; 0.000 0% Purity testing (1 call)
% 73.05/73.21 ; 0.376 1% Other
% 73.05/73.21 ; 72.732 Total
% 73.05/73.21 ; 72.727 Real time
% 73.05/73.21 ;
% 73.05/73.21 ; Term-hash-array has 20,355 terms in all.
% 73.05/73.21 ; Feature-vector-row-index has 1,481 entries (1,481 at peak, 1,675 added, 194 deleted).
% 73.05/73.21 ; Feature-vector-row-index has 9,651 nodes (9,825 at peak, 11,445 added, 1,794 deleted).
% 73.05/73.21 ; Retrieved 27,312 possibly forward subsuming rows in 3,568 calls.
% 73.05/73.21 ; Retrieved 2,861 possibly backward subsumed rows in 1,675 calls.
% 73.05/73.21 ; Path-index has 16,555 entries (16,555 at peak, 21,109 added, 4,554 deleted).
% 73.05/73.21 ; Path-index has 5,625 nodes (5,625 at peak, 6,337 added, 712 deleted).
% 73.05/73.21 ; Trie-index has 16,555 entries (16,555 at peak, 21,109 added, 4,554 deleted).
% 73.05/73.21 ; Trie-index has 5,730 nodes (5,730 at peak, 7,141 added, 1,411 deleted).
% 73.05/73.21 ; Retrieved 84,787,833 generalization terms in 616,630 calls.
% 73.05/73.21 ; Retrieved 66,103 instance terms in 8,584 calls.
% 73.05/73.21 ; Retrieved 240,569 unifiable terms in 5,128 calls.
% 73.05/73.21 ;
% 73.05/73.21 ; The agenda of rows to process has 737 entries:
% 73.05/73.21 ; 1 with value 13 15 with value 24 50 with value 35
% 73.05/73.21 ; 3 with value 14 17 with value 25 15 with value 36
% 73.05/73.21 ; 4 with value 15 37 with value 26 14 with value 37
% 73.05/73.21 ; 12 with value 16 51 with value 27 6 with value 38
% 73.05/73.21 ; 21 with value 17 51 with value 28 5 with value 39
% 73.05/73.21 ; 19 with value 18 27 with value 29 3 with value 40
% 73.05/73.21 ; 35 with value 19 25 with value 30 8 with value 41
% 73.05/73.21 ; 59 with value 20 15 with value 31 1 with value 42
% 73.05/73.21 ; 44 with value 21 36 with value 32 5 with value 43
% 73.05/73.21 ; 25 with value 22 31 with value 33 2 with value 45
% 73.05/73.21 ; 56 with value 23 43 with value 34 1 with value 46
% 73.05/73.21 ; The agenda of rows to give has 8035 entries:
% 73.05/73.21 ; 226 with value (4 19) 126 with value (4 37) 22 with value (4 54)
% 73.05/73.21 ; 341 with value (4 20) 102 with value (4 38) 21 with value (4 55)
% 73.05/73.21 ; 473 with value (4 21) 78 with value (4 39) 16 with value (4 56)
% 73.05/73.21 ; 476 with value (4 22) 90 with value (4 40) 10 with value (4 57)
% 73.05/73.21 ; 655 with value (4 23) 68 with value (4 41) 10 with value (4 58)
% 73.05/73.21 ; 638 with value (4 24) 83 with value (4 42) 1 with value (4 59)
% 73.05/73.21 ; 517 with value (4 25) 62 with value (4 43) 7 with value (4 60)
% 73.05/73.21 ; 666 with value (4 26) 56 with value (4 44) 3 with value (4 61)
% 73.05/73.21 ; 455 with value (4 27) 52 with value (4 45) 9 with value (4 62)
% 73.05/73.21 ; 549 with value (4 28) 51 with value (4 46) 4 with value (4 63)
% 73.05/73.21 ; 405 with value (4 29) 52 with value (4 47) 7 with value (4 64)
% 73.05/73.21 ; 350 with value (4 30) 26 with value (4 48) 2 with value (4 65)
% 73.05/73.21 ; 318 with value (4 31) 21 with value (4 49) 2 with value (4 66)
% 73.05/73.21 ; 262 with value (4 32) 23 with value (4 50) 2 with value (4 68)
% 73.05/73.21 ; 194 with value (4 33) 15 with value (4 51) 1 with value (4 69)
% 73.05/73.21 ; 132 with value (4 34) 24 with value (4 52) 1 with value (4 70)
% 73.05/73.21 ; 158 with value (4 35) 11 with value (4 53) 1 with value (4 77)
% 73.05/73.21 ; 161 with value (4 36)
% 73.05/73.21 Evaluation took:
% 73.05/73.21 72.73 seconds of real time
% 73.05/73.21 71.888306 seconds of user run time
% 73.05/73.21 0.846949 seconds of system run time
% 73.05/73.21 [Run times include 3.226 seconds GC run time.]
% 73.05/73.21 0 calls to %EVAL
% 73.05/73.21 0 page faults and
% 73.05/73.21 4,100,506,376 bytes consed.
% 73.05/73.21 :PROOF-FOUND
% 73.05/73.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T13:41:51
% 73.05/73.21 :PROOF-FOUND
% 73.05/73.21 *
%------------------------------------------------------------------------------