TSTP Solution File: KLE009+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE009+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 02:26:05 EDT 2022
% Result : Theorem 2.75s 2.94s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 41 ( 32 unt; 0 nHn; 33 RR)
% Number of literals : 55 ( 30 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(14,axiom,
( test(X)
| ~ complement(Y,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,axiom,
( ~ test(X)
| ~ test(Y)
| c(addition(X,Y)) = multiplication(c(X),c(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
one != addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(36,plain,
complement('SKOLEMAAAV3',c('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).
cnf(51,plain,
c(addition('SKOLEMAAAV3','SKOLEMAAAV2')) = multiplication(c('SKOLEMAAAV3'),c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[22,24,25]) ).
cnf(52,plain,
c(addition('SKOLEMAAAV3','SKOLEMAAAV2')) = multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[22,25,24]) ).
cnf(53,plain,
one != addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),c(addition('SKOLEMAAAV3','SKOLEMAAAV2'))))),
inference('REWRITE',[status(thm)],[26,52,theory(equality)]) ).
cnf(71,plain,
~ complement(addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),multiplication('SKOLEMAAAV2','SKOLEMAAAV3')),addition(c(addition('SKOLEMAAAV3','SKOLEMAAAV2')),multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[17,53]) ).
cnf(120,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,27]) ).
cnf(122,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,27]) ).
cnf(123,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,27]) ).
cnf(130,plain,
test(c('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[14,36]) ).
cnf(148,plain,
c(addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2')) = multiplication(c(c('SKOLEMAAAV3')),c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[22,130,25]) ).
cnf(151,plain,
c(addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2')) = multiplication(c('SKOLEMAAAV2'),c(c('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[22,130,25]) ).
cnf(192,plain,
X = addition(multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),X),multiplication('SKOLEMAAAV3',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,120,theory(equality)]),6,theory(equality)]) ).
cnf(194,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,120,theory(equality)]),5,theory(equality)]) ).
cnf(196,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,120,theory(equality)]),123,122,theory(equality)]) ).
cnf(202,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,196,24]) ).
cnf(203,plain,
complement(c('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[27,202,theory(equality)]) ).
cnf(208,plain,
X = addition(multiplication(c('SKOLEMAAAV3'),X),multiplication('SKOLEMAAAV3',X)),
inference('REWRITE',[status(thm)],[192,202,theory(equality)]) ).
cnf(210,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[194,202,theory(equality)]) ).
cnf(212,plain,
~ complement('SKOLEMAAAV2',addition(c(addition('SKOLEMAAAV3','SKOLEMAAAV2')),multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[71,210,theory(equality)]) ).
cnf(219,plain,
c(c('SKOLEMAAAV3')) = 'SKOLEMAAAV3',
inference('HYPERRESOLVE',[status(thm)],[20,203,130]) ).
cnf(221,plain,
c(addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2')) = multiplication('SKOLEMAAAV3',c('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[148,219,theory(equality)]) ).
cnf(226,plain,
c(addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2')) = multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[151,219,theory(equality)]) ).
cnf(235,plain,
~ complement('SKOLEMAAAV2',addition(c(addition('SKOLEMAAAV3','SKOLEMAAAV2')),c(addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2')))),
inference('REWRITE',[status(thm)],[212,226,theory(equality)]) ).
cnf(1447,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,208,25]),235,221,51,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KLE009+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.16/0.37 % Computer : n004.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Thu Jun 16 15:24:39 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:24:39
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T15:24:39
% 0.23/0.54
% 0.23/0.54 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.23/0.54 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.23/0.54 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.23/0.54 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.23/0.54 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.23/0.54 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.23/0.54 ; Declaring addition to be commutative.
% 2.75/2.94 ; Declaring addition to be associative-commutative.
% 2.75/2.94
% 2.75/2.94 #||
% 2.75/2.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.75/2.95 % SZS output start Refutation
% See solution above
% 2.75/2.95 ||#
% 2.75/2.95
% 2.75/2.95 ; Summary of computation:
% 2.75/2.95 ; 10791 formulas have been input or derived (from 200 formulas).
% 2.75/2.95 ; 1447 (13%) were retained. Of these,
% 2.75/2.95 ; 183 (13%) were simplified or subsumed later,
% 2.75/2.95 ; 1264 (87%) are still being kept.
% 2.75/2.95 ;
% 2.75/2.95 ; Run time in seconds excluding printing time:
% 2.75/2.95 ; 0.006 0% Read assertion file (1 call)
% 2.75/2.95 ; 0.001 0% Assert (19 calls)
% 2.75/2.95 ; 0.158 7% Process new row (10,412 calls)
% 2.75/2.95 ; 0.053 2% Resolution (398 calls)
% 2.75/2.95 ; 0.123 5% Paramodulation (199 calls)
% 2.75/2.95 ; 0.000 0% Factoring (4 calls)
% 2.75/2.95 ; 0.000 0% Embedding (117 calls)
% 2.75/2.95 ; 0.055 2% Condensing (992 calls)
% 2.75/2.95 ; 0.054 2% Forward subsumption (992 calls)
% 2.75/2.95 ; 0.015 1% Backward subsumption (412 calls)
% 2.75/2.95 ; 0.020 1% Clause clause subsumption (3,048 calls)
% 2.75/2.95 ; 1.807 75% Forward simplification (10,270 calls)
% 2.75/2.95 ; 0.026 1% Backward simplification (1,345 calls)
% 2.75/2.95 ; 0.023 1% Ordering (6,293 calls)
% 2.75/2.95 ; 0.005 0% Ordering ac (891 calls)
% 2.75/2.95 ; 0.000 0% Sortal reasoning (32 calls)
% 2.75/2.95 ; 0.000 0% Purity testing (1 call)
% 2.75/2.95 ; 0.075 3% Other
% 2.75/2.95 ; 2.421 Total
% 2.75/2.95 ; 2.429 Real time
% 2.75/2.95 ;
% 2.75/2.95 ; Term-hash-array has 2,962 terms in all.
% 2.75/2.95 ; Feature-vector-row-index has 382 entries (383 at peak, 412 added, 30 deleted).
% 2.75/2.95 ; Feature-vector-row-index has 1,740 nodes (1,755 at peak, 1,954 added, 214 deleted).
% 2.75/2.95 ; Retrieved 3,955 possibly forward subsuming rows in 992 calls.
% 2.75/2.95 ; Retrieved 518 possibly backward subsumed rows in 412 calls.
% 2.75/2.95 ; Path-index has 2,646 entries (2,646 at peak, 3,007 added, 361 deleted).
% 2.75/2.95 ; Path-index has 805 nodes (805 at peak, 1,020 added, 215 deleted).
% 2.75/2.95 ; Trie-index has 2,646 entries (2,646 at peak, 3,007 added, 361 deleted).
% 2.75/2.95 ; Trie-index has 1,412 nodes (1,418 at peak, 1,865 added, 453 deleted).
% 2.75/2.95 ; Retrieved 1,872,995 generalization terms in 67,078 calls.
% 2.75/2.95 ; Retrieved 3,005 instance terms in 950 calls.
% 2.75/2.95 ; Retrieved 41,570 unifiable terms in 2,328 calls.
% 2.75/2.95 ;
% 2.75/2.95 ; The agenda of rows to process has 35 entries:
% 2.75/2.95 ; 15 with value 20 7 with value 24 1 with value 27
% 2.75/2.95 ; 2 with value 22 3 with value 25 1 with value 30
% 2.75/2.95 ; 2 with value 23 2 with value 26 2 with value 47
% 2.75/2.95 ; The agenda of rows to give has 1086 entries:
% 2.75/2.95 ; 41 with value (4 17) 36 with value (4 32) 8 with value (4 56)
% 2.75/2.95 ; 44 with value (4 18) 22 with value (4 33) 8 with value (4 58)
% 2.75/2.95 ; 90 with value (4 19) 36 with value (4 34) 5 with value (4 59)
% 2.75/2.95 ; 108 with value (4 20) 8 with value (4 35) 1 with value (4 61)
% 2.75/2.95 ; 76 with value (4 21) 20 with value (4 36) 4 with value (4 62)
% 2.75/2.95 ; 31 with value (4 22) 12 with value (4 37) 8 with value (4 63)
% 2.75/2.95 ; 71 with value (4 23) 5 with value (4 38) 8 with value (4 65)
% 2.75/2.95 ; 64 with value (4 24) 16 with value (4 39) 8 with value (4 70)
% 2.75/2.95 ; 86 with value (4 25) 2 with value (4 41) 8 with value (4 77)
% 2.75/2.95 ; 50 with value (4 26) 8 with value (4 42) 2 with value (4 79)
% 2.75/2.95 ; 54 with value (4 27) 4 with value (4 45) 8 with value (4 84)
% 2.75/2.95 ; 31 with value (4 28) 2 with value (4 51) 8 with value (4 97)
% 2.75/2.95 ; 32 with value (4 29) 8 with value (4 53) 8 with value (4 104)
% 2.75/2.95 ; 24 with value (4 30) 4 with value (4 55) 1 with value (4 107)
% 2.75/2.95 ; 16 with value (4 31)
% 2.75/2.95 Evaluation took:
% 2.75/2.95 2.429 seconds of real time
% 2.75/2.95 2.324293 seconds of user run time
% 2.75/2.95 0.104964 seconds of system run time
% 2.75/2.95 [Run times include 0.112 seconds GC run time.]
% 2.75/2.95 0 calls to %EVAL
% 2.75/2.95 0 page faults and
% 2.75/2.95 254,187,240 bytes consed.
% 2.75/2.95 :PROOF-FOUND
% 2.75/2.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:24:41
% 2.75/2.95 :PROOF-FOUND
% 2.75/2.95 *
%------------------------------------------------------------------------------