TSTP Solution File: KLE018+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 02:26:10 EDT 2022
% Result : Theorem 11.57s 11.74s
% Output : Refutation 11.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 36 unt; 0 nHn; 29 RR)
% Number of literals : 55 ( 32 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 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(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/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/sandbox/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/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(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
leq(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),'SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
~ leq('SKOLEMAAAV2',addition('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,23]) ).
cnf(29,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(31,plain,
addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),'SKOLEMAAAV4') = 'SKOLEMAAAV4',
inference('HYPERRESOLVE',[status(thm)],[11,25]) ).
cnf(32,plain,
addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),addition('SKOLEMAAAV4',X)) = addition('SKOLEMAAAV4',X),
inference('EMBED',[status(thm)],[31]) ).
cnf(35,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(37,plain,
addition('SKOLEMAAAV2',addition('SKOLEMAAAV3','SKOLEMAAAV4')) != addition('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[12,26]) ).
cnf(89,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,28]) ).
cnf(91,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,28]) ).
cnf(92,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,28]) ).
cnf(94,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(153,plain,
leq('SKOLEMAAAV3',one),
inference('PARAMODULATE',[status(thm)],[35,89,theory(equality)]) ).
cnf(159,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,89,theory(equality)]),5,theory(equality)]) ).
cnf(161,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,89,theory(equality)]),92,91,theory(equality)]) ).
cnf(162,plain,
addition('SKOLEMAAAV3',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,153]) ).
cnf(167,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,161,23]) ).
cnf(175,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[159,167,theory(equality)]) ).
cnf(180,plain,
leq('SKOLEMAAAV2',one),
inference('PARAMODULATE',[status(thm)],[35,94,theory(equality)]) ).
cnf(189,plain,
addition('SKOLEMAAAV2',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,180]) ).
cnf(295,plain,
X = addition(multiplication(X,'SKOLEMAAAV3'),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,162,theory(equality)]),5,theory(equality)]) ).
cnf(310,plain,
X = addition(multiplication('SKOLEMAAAV2',X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,189,theory(equality)]),6,theory(equality)]) ).
cnf(311,plain,
addition(multiplication('SKOLEMAAAV2',X),addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[310]) ).
cnf(359,plain,
leq(addition(X,multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3'))),addition('SKOLEMAAAV4',X)),
inference('PARAMODULATE',[status(thm)],[35,32,theory(equality)]) ).
cnf(2690,plain,
leq('SKOLEMAAAV2',addition('SKOLEMAAAV4',multiplication('SKOLEMAAAV2','SKOLEMAAAV3'))),
inference('PARAMODULATE',[status(thm)],[359,175,theory(equality)]) ).
cnf(2714,plain,
addition('SKOLEMAAAV4','SKOLEMAAAV2') = addition('SKOLEMAAAV4',multiplication('SKOLEMAAAV2','SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,2690]),295,theory(equality)]) ).
cnf(2715,plain,
addition('SKOLEMAAAV4',addition(X,multiplication('SKOLEMAAAV2','SKOLEMAAAV3'))) = addition('SKOLEMAAAV4',addition(X,'SKOLEMAAAV2')),
inference('EMBED',[status(thm)],[2714]) ).
cnf(4069,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,2715,theory(equality)]),37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 16:04:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T16:04:42
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T16:04:42
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49 ; Declaring addition to be commutative.
% 11.57/11.74 ; Declaring addition to be associative-commutative.
% 11.57/11.74
% 11.57/11.74 #||
% 11.57/11.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.57/11.74 % SZS output start Refutation
% See solution above
% 11.57/11.75 ||#
% 11.57/11.75
% 11.57/11.75 ; Summary of computation:
% 11.57/11.75 ; 33690 formulas have been input or derived (from 420 formulas).
% 11.57/11.75 ; 4069 (12%) were retained. Of these,
% 11.57/11.75 ; 593 (15%) were simplified or subsumed later,
% 11.57/11.75 ; 3476 (85%) are still being kept.
% 11.57/11.75 ;
% 11.57/11.75 ; Run time in seconds excluding printing time:
% 11.57/11.75 ; 0.005 0% Read assertion file (1 call)
% 11.57/11.75 ; 0.001 0% Assert (17 calls)
% 11.57/11.75 ; 0.392 3% Process new row (31,447 calls)
% 11.57/11.75 ; 0.103 1% Resolution (838 calls)
% 11.57/11.75 ; 0.376 3% Paramodulation (419 calls)
% 11.57/11.75 ; 0.000 0% Factoring (17 calls)
% 11.57/11.75 ; 0.001 0% Embedding (387 calls)
% 11.57/11.75 ; 0.087 1% Condensing (2,349 calls)
% 11.57/11.75 ; 0.118 1% Forward subsumption (2,349 calls)
% 11.57/11.75 ; 0.027 0% Backward subsumption (951 calls)
% 11.57/11.75 ; 0.050 0% Clause clause subsumption (9,290 calls)
% 11.57/11.75 ; 9.799 87% Forward simplification (31,008 calls)
% 11.57/11.75 ; 0.087 1% Backward simplification (3,685 calls)
% 11.57/11.75 ; 0.072 1% Ordering (22,784 calls)
% 11.57/11.75 ; 0.015 0% Ordering ac (4,322 calls)
% 11.57/11.75 ; 0.000 0% Sortal reasoning (32 calls)
% 11.57/11.75 ; 0.000 0% Purity testing (1 call)
% 11.57/11.75 ; 0.121 1% Other
% 11.57/11.75 ; 11.254 Total
% 11.57/11.75 ; 11.275 Real time
% 11.57/11.75 ;
% 11.57/11.75 ; Term-hash-array has 7,799 terms in all.
% 11.57/11.75 ; Feature-vector-row-index has 876 entries (876 at peak, 951 added, 75 deleted).
% 11.57/11.75 ; Feature-vector-row-index has 4,323 nodes (4,323 at peak, 5,031 added, 708 deleted).
% 11.57/11.75 ; Retrieved 10,402 possibly forward subsuming rows in 2,349 calls.
% 11.57/11.75 ; Retrieved 1,820 possibly backward subsumed rows in 951 calls.
% 11.57/11.75 ; Path-index has 6,836 entries (6,836 at peak, 7,854 added, 1,018 deleted).
% 11.57/11.75 ; Path-index has 966 nodes (966 at peak, 1,114 added, 148 deleted).
% 11.57/11.75 ; Trie-index has 6,836 entries (6,836 at peak, 7,854 added, 1,018 deleted).
% 11.57/11.75 ; Trie-index has 2,775 nodes (2,775 at peak, 3,329 added, 554 deleted).
% 11.57/11.75 ; Retrieved 19,642,692 generalization terms in 178,170 calls.
% 11.57/11.75 ; Retrieved 9,885 instance terms in 2,751 calls.
% 11.57/11.75 ; Retrieved 197,952 unifiable terms in 4,476 calls.
% 11.57/11.75 ;
% 11.57/11.75 ; The agenda of rows to process has 583 entries:
% 11.57/11.75 ; 15 with value 18 14 with value 27 7 with value 36
% 11.57/11.75 ; 40 with value 19 49 with value 28 6 with value 37
% 11.57/11.75 ; 24 with value 20 34 with value 29 7 with value 38
% 11.57/11.75 ; 61 with value 21 37 with value 30 6 with value 39
% 11.57/11.75 ; 27 with value 22 6 with value 31 3 with value 41
% 11.57/11.75 ; 30 with value 23 21 with value 32 1 with value 42
% 11.57/11.75 ; 56 with value 24 18 with value 33 2 with value 48
% 11.57/11.75 ; 26 with value 25 30 with value 34 4 with value 51
% 11.57/11.75 ; 46 with value 26 9 with value 35 4 with value 59
% 11.57/11.75 ; The agenda of rows to give has 3096 entries:
% 11.57/11.75 ; 7 with value (4 17) 7 with value (4 35) 1 with value (4 61)
% 11.57/11.75 ; 214 with value (4 18) 75 with value (4 36) 6 with value (4 63)
% 11.57/11.75 ; 218 with value (4 19) 12 with value (4 37) 12 with value (4 64)
% 11.57/11.75 ; 394 with value (4 20) 7 with value (4 38) 12 with value (4 65)
% 11.57/11.75 ; 258 with value (4 21) 16 with value (4 39) 12 with value (4 67)
% 11.57/11.75 ; 179 with value (4 22) 6 with value (4 40) 12 with value (4 68)
% 11.57/11.75 ; 172 with value (4 23) 2 with value (4 41) 12 with value (4 70)
% 11.57/11.75 ; 197 with value (4 24) 12 with value (4 43) 12 with value (4 71)
% 11.57/11.75 ; 222 with value (4 25) 6 with value (4 46) 2 with value (4 75)
% 11.57/11.75 ; 189 with value (4 26) 12 with value (4 47) 12 with value (4 77)
% 11.57/11.75 ; 120 with value (4 27) 2 with value (4 51) 2 with value (4 79)
% 11.57/11.75 ; 124 with value (4 28) 24 with value (4 53) 2 with value (4 81)
% 11.57/11.75 ; 51 with value (4 29) 2 with value (4 54) 12 with value (4 85)
% 11.57/11.75 ; 59 with value (4 30) 6 with value (4 55) 12 with value (4 93)
% 11.57/11.75 ; 48 with value (4 31) 12 with value (4 56) 12 with value (4 97)
% 11.57/11.75 ; 108 with value (4 32) 6 with value (4 58) 12 with value (4 105)
% 11.57/11.75 ; 58 with value (4 33) 19 with value (4 59) 1 with value (4 107)
% 11.57/11.75 ; 104 with value (4 34) 2 with value (4 60)
% 11.57/11.75 Evaluation took:
% 11.57/11.75 11.276 seconds of real time
% 11.57/11.75 11.042059 seconds of user run time
% 11.57/11.75 0.222137 seconds of system run time
% 11.57/11.75 [Run times include 0.466 seconds GC run time.]
% 11.57/11.75 0 calls to %EVAL
% 11.57/11.75 0 page faults and
% 11.57/11.75 958,812,432 bytes consed.
% 11.57/11.75 :PROOF-FOUND
% 11.57/11.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T16:04:53
% 11.57/11.75 :PROOF-FOUND
% 11.57/11.75 *
%------------------------------------------------------------------------------