TSTP Solution File: KLE141+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE141+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 1.53s 1.78s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 22 ( 15 equ; 6 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 6 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(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
cnf(9,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
cnf(18,axiom,
( ~ leq(X,addition(multiplication(Y,X),Z))
| leq(X,multiplication(strong_iteration(Y),Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).
cnf(19,axiom,
strong_iteration(X) = addition(star(X),multiplication(strong_iteration(X),zero)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',isolation) ).
cnf(21,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
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(strong_iteration(one),'SKOLEMAAAV1') != strong_iteration(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[22,3]) ).
cnf(82,plain,
multiplication(X,zero) = multiplication(multiplication(X,zero),Y),
inference('PARAMODULATE',[status(thm)],[4,9,theory(equality)]) ).
cnf(132,plain,
multiplication(strong_iteration(X),Y) = addition(multiplication(star(X),Y),multiplication(strong_iteration(X),zero)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,19,theory(equality)]),82,theory(equality)]) ).
cnf(134,plain,
addition(multiplication(star(one),'SKOLEMAAAV1'),multiplication(strong_iteration(one),zero)) != strong_iteration(one),
inference('REWRITE',[status(thm)],[23,132,theory(equality)]) ).
cnf(180,plain,
leq(X,multiplication(strong_iteration(one),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,6,theory(equality)]),26]) ).
cnf(226,plain,
addition(X,multiplication(strong_iteration(one),Y)) = multiplication(strong_iteration(one),Y),
inference('HYPERRESOLVE',[status(thm)],[21,180]) ).
cnf(228,plain,
multiplication(strong_iteration(one),zero) != strong_iteration(one),
inference('REWRITE',[status(thm)],[134,226,theory(equality)]) ).
cnf(1156,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,226,theory(equality)]),228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE141+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 12:58:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:58:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-16T12:58:46
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.49 ; Declaring addition to be commutative.
% 1.53/1.78 ; Declaring addition to be associative-commutative.
% 1.53/1.78
% 1.53/1.78 #||
% 1.53/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.53/1.78 % SZS output start Refutation
% See solution above
% 1.53/1.78 ||#
% 1.53/1.78
% 1.53/1.78 ; Summary of computation:
% 1.53/1.78 ; 7779 formulas have been input or derived (from 157 formulas).
% 1.53/1.78 ; 1156 (15%) were retained. Of these,
% 1.53/1.78 ; 119 (10%) were simplified or subsumed later,
% 1.53/1.78 ; 1037 (90%) are still being kept.
% 1.53/1.78 ;
% 1.53/1.78 ; Run time in seconds excluding printing time:
% 1.53/1.78 ; 0.004 0% Read assertion file (1 call)
% 1.53/1.78 ; 0.001 0% Assert (19 calls)
% 1.53/1.78 ; 0.130 10% Process new row (7,163 calls)
% 1.53/1.78 ; 0.022 2% Resolution (312 calls)
% 1.53/1.78 ; 0.105 8% Paramodulation (156 calls)
% 1.53/1.78 ; 0.002 0% Embedding (100 calls)
% 1.53/1.78 ; 0.034 3% Condensing (1,143 calls)
% 1.53/1.78 ; 0.061 5% Forward subsumption (1,143 calls)
% 1.53/1.78 ; 0.013 1% Backward subsumption (505 calls)
% 1.53/1.78 ; 0.033 3% Clause clause subsumption (3,447 calls)
% 1.53/1.78 ; 0.778 60% Forward simplification (7,062 calls)
% 1.53/1.78 ; 0.026 2% Backward simplification (1,061 calls)
% 1.53/1.78 ; 0.026 2% Ordering (6,688 calls)
% 1.53/1.78 ; 0.007 1% Ordering ac (1,024 calls)
% 1.53/1.78 ; 0.001 0% Sortal reasoning (32 calls)
% 1.53/1.78 ; 0.000 0% Purity testing (1 call)
% 1.53/1.78 ; 0.063 5% Other
% 1.53/1.78 ; 1.306 Total
% 1.53/1.78 ; 1.307 Real time
% 1.53/1.78 ;
% 1.53/1.78 ; Term-hash-array has 2,434 terms in all.
% 1.53/1.78 ; Feature-vector-row-index has 477 entries (477 at peak, 505 added, 28 deleted).
% 1.53/1.78 ; Feature-vector-row-index has 3,390 nodes (3,390 at peak, 3,608 added, 218 deleted).
% 1.53/1.78 ; Retrieved 4,122 possibly forward subsuming rows in 1,143 calls.
% 1.53/1.78 ; Retrieved 605 possibly backward subsumed rows in 505 calls.
% 1.53/1.78 ; Path-index has 2,234 entries (2,234 at peak, 2,459 added, 225 deleted).
% 1.53/1.78 ; Path-index has 1,486 nodes (1,492 at peak, 1,537 added, 51 deleted).
% 1.53/1.78 ; Trie-index has 2,234 entries (2,234 at peak, 2,459 added, 225 deleted).
% 1.53/1.78 ; Trie-index has 1,266 nodes (1,269 at peak, 1,391 added, 125 deleted).
% 1.53/1.78 ; Retrieved 1,093,556 generalization terms in 49,743 calls.
% 1.53/1.78 ; Retrieved 1,894 instance terms in 588 calls.
% 1.53/1.78 ; Retrieved 22,562 unifiable terms in 1,160 calls.
% 1.53/1.78 ;
% 1.53/1.78 ; The agenda of rows to process has 197 entries:
% 1.53/1.78 ; 2 with value 13 16 with value 20 3 with value 26
% 1.53/1.78 ; 8 with value 14 32 with value 21 1 with value 27
% 1.53/1.78 ; 24 with value 15 9 with value 22 11 with value 28
% 1.53/1.78 ; 8 with value 16 15 with value 23 3 with value 29
% 1.53/1.78 ; 7 with value 17 6 with value 24 2 with value 30
% 1.53/1.78 ; 18 with value 18 12 with value 25 1 with value 33
% 1.53/1.78 ; 19 with value 19
% 1.53/1.78 ; The agenda of rows to give has 889 entries:
% 1.53/1.78 ; 43 with value (4 17) 62 with value (4 28) 3 with value (4 38)
% 1.53/1.78 ; 32 with value (4 18) 41 with value (4 29) 17 with value (4 39)
% 1.53/1.78 ; 62 with value (4 19) 19 with value (4 30) 9 with value (4 40)
% 1.53/1.78 ; 71 with value (4 20) 23 with value (4 31) 5 with value (4 41)
% 1.53/1.78 ; 63 with value (4 21) 30 with value (4 32) 3 with value (4 42)
% 1.53/1.78 ; 74 with value (4 22) 15 with value (4 33) 1 with value (4 43)
% 1.53/1.78 ; 45 with value (4 23) 21 with value (4 34) 2 with value (4 45)
% 1.53/1.78 ; 54 with value (4 24) 7 with value (4 35) 1 with value (4 46)
% 1.53/1.78 ; 48 with value (4 25) 17 with value (4 36) 1 with value (4 47)
% 1.53/1.78 ; 67 with value (4 26) 9 with value (4 37) 3 with value (4 50)
% 1.53/1.78 ; 41 with value (4 27)
% 1.53/1.78 Evaluation took:
% 1.53/1.78 1.308 seconds of real time
% 1.53/1.78 1.249894 seconds of user run time
% 1.53/1.78 0.05806 seconds of system run time
% 1.53/1.78 [Run times include 0.043 seconds GC run time.]
% 1.53/1.78 0 calls to %EVAL
% 1.53/1.78 0 page faults and
% 1.53/1.78 97,215,240 bytes consed.
% 1.53/1.78 :PROOF-FOUND
% 1.53/1.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:58:47
% 1.53/1.78 :PROOF-FOUND
% 1.53/1.78 *
%------------------------------------------------------------------------------