TSTP Solution File: KLE146+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 02:26:51 EDT 2022
% Result : Theorem 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 7 equ; 3 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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,
~ leq(one,strong_iteration('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
addition(one,strong_iteration('SKOLEMAAAV1')) != strong_iteration('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[22,23]) ).
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(69,plain,
$false,
inference('REWRITE',[status(thm)],[28,67,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 16 16:52:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T16:52:34
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T16:52:34
% 0.22/0.51
% 0.22/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.51 ; Declaring addition to be commutative.
% 0.40/0.56 ; Declaring addition to be associative-commutative.
% 0.40/0.56
% 0.40/0.56 #||
% 0.40/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.56 % SZS output start Refutation
% See solution above
% 0.40/0.56 ||#
% 0.40/0.56
% 0.40/0.56 ; Summary of computation:
% 0.40/0.56 ; 165 formulas have been input or derived (from 16 formulas).
% 0.40/0.56 ; 69 (42%) were retained. Of these,
% 0.40/0.56 ; 5 ( 7%) were simplified or subsumed later,
% 0.40/0.56 ; 64 (93%) are still being kept.
% 0.40/0.56 ;
% 0.40/0.56 ; Run time in seconds excluding printing time:
% 0.40/0.56 ; 0.004 7% Read assertion file (1 call)
% 0.40/0.56 ; 0.001 2% Assert (19 calls)
% 0.40/0.56 ; 0.006 10% Process new row (143 calls)
% 0.40/0.56 ; 0.002 3% Resolution (30 calls)
% 0.40/0.56 ; 0.003 5% Paramodulation (15 calls)
% 0.40/0.56 ; 0.000 0% Embedding (17 calls)
% 0.40/0.56 ; 0.004 7% Condensing (54 calls)
% 0.40/0.56 ; 0.003 5% Forward subsumption (54 calls)
% 0.40/0.56 ; 0.000 0% Backward subsumption (26 calls)
% 0.40/0.56 ; 0.003 5% Clause clause subsumption (87 calls)
% 0.40/0.56 ; 0.007 12% Forward simplification (129 calls)
% 0.40/0.56 ; 0.001 2% Backward simplification (55 calls)
% 0.40/0.56 ; 0.001 2% Ordering (193 calls)
% 0.40/0.56 ; 0.002 3% Ordering ac (80 calls)
% 0.40/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.56 ; 0.000 0% Purity testing (1 call)
% 0.40/0.56 ; 0.023 38% Other
% 0.40/0.56 ; 0.060 Total
% 0.40/0.56 ; 0.062 Real time
% 0.40/0.56 ;
% 0.40/0.56 ; Term-hash-array has 172 terms in all.
% 0.40/0.56 ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.40/0.56 ; Feature-vector-row-index has 115 nodes (115 at peak, 115 added, 0 deleted).
% 0.40/0.56 ; Retrieved 96 possibly forward subsuming rows in 54 calls.
% 0.40/0.56 ; Retrieved 9 possibly backward subsumed rows in 26 calls.
% 0.40/0.56 ; Path-index has 161 entries (167 at peak, 175 added, 14 deleted).
% 0.40/0.56 ; Path-index has 183 nodes (190 at peak, 194 added, 11 deleted).
% 0.40/0.56 ; Trie-index has 161 entries (167 at peak, 175 added, 14 deleted).
% 0.40/0.56 ; Trie-index has 156 nodes (160 at peak, 162 added, 6 deleted).
% 0.40/0.56 ; Retrieved 2,158 generalization terms in 676 calls.
% 0.40/0.56 ; Retrieved 72 instance terms in 34 calls.
% 0.40/0.56 ; Retrieved 474 unifiable terms in 75 calls.
% 0.40/0.56 ;
% 0.40/0.56 ; The agenda of rows to process has 20 entries:
% 0.40/0.56 ; 1 with value 19 1 with value 23 1 with value 27
% 0.40/0.56 ; 5 with value 20 1 with value 24 3 with value 28
% 0.40/0.56 ; 1 with value 21 1 with value 25 1 with value 32
% 0.40/0.56 ; 3 with value 22 1 with value 26 1 with value 34
% 0.40/0.56 ; The agenda of input rows to give has 8 entries:
% 0.40/0.56 ; 3 with value 14 2 with value 16 3 with value 19
% 0.40/0.56 ; The agenda of rows to give has 40 entries:
% 0.40/0.56 ; 2 with value (4 5) 5 with value (4 15) 2 with value (4 23)
% 0.40/0.56 ; 2 with value (4 7) 3 with value (4 16) 2 with value (4 24)
% 0.40/0.56 ; 1 with value (4 8) 9 with value (4 20) 4 with value (4 28)
% 0.40/0.56 ; 1 with value (4 9) 1 with value (4 21) 2 with value (4 32)
% 0.40/0.56 ; 4 with value (4 11) 2 with value (4 22)
% 0.40/0.56 Evaluation took:
% 0.40/0.56 0.063 seconds of real time
% 0.40/0.56 0.054004 seconds of user run time
% 0.40/0.56 0.009032 seconds of system run time
% 0.40/0.56 0 calls to %EVAL
% 0.40/0.56 0 page faults and
% 0.40/0.56 3,295,864 bytes consed.
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T16:52:34
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 *
%------------------------------------------------------------------------------