TSTP Solution File: KLE013+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE013+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 02:26:08 EDT 2022
% Result : Theorem 1.76s 1.94s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 46 ( 37 unt; 0 nHn; 31 RR)
% Number of literals : 59 ( 37 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 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(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
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('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
one != addition('SKOLEMAAAV2',addition('SKOLEMAAAV3',multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(26,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[13,23]) ).
cnf(30,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(34,plain,
complement('SKOLEMAAAV3',c('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[19,22,theory(equality)]) ).
cnf(83,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,25]) ).
cnf(85,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,25]) ).
cnf(86,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,25]) ).
cnf(88,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = one,
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(90,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,26]) ).
cnf(91,plain,
multiplication('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,26]) ).
cnf(94,plain,
addition('SKOLEMAAAV3',c('SKOLEMAAAV3')) = one,
inference('HYPERRESOLVE',[status(thm)],[17,34]) ).
cnf(119,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,83,theory(equality)]),5,theory(equality)]) ).
cnf(121,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,83,theory(equality)]),86,85,theory(equality)]) ).
cnf(127,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,121,22]) ).
cnf(135,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[119,127,theory(equality)]) ).
cnf(136,plain,
addition(multiplication(X,c('SKOLEMAAAV3')),addition(multiplication(X,'SKOLEMAAAV3'),Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[135]) ).
cnf(140,plain,
leq('SKOLEMAAAV2',one),
inference('PARAMODULATE',[status(thm)],[30,88,theory(equality)]) ).
cnf(144,plain,
X = addition(multiplication('SKOLEMAAAV1'('SKOLEMAAAV2'),X),multiplication('SKOLEMAAAV2',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,88,theory(equality)]),6,theory(equality)]) ).
cnf(148,plain,
complement('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,88,theory(equality)]),91,90,theory(equality)]) ).
cnf(149,plain,
addition('SKOLEMAAAV2',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,140]) ).
cnf(154,plain,
c('SKOLEMAAAV2') = 'SKOLEMAAAV1'('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[20,148,23]) ).
cnf(160,plain,
X = addition(multiplication(c('SKOLEMAAAV2'),X),multiplication('SKOLEMAAAV2',X)),
inference('REWRITE',[status(thm)],[144,154,theory(equality)]) ).
cnf(161,plain,
addition(multiplication(c('SKOLEMAAAV2'),X),addition(multiplication('SKOLEMAAAV2',X),Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[160]) ).
cnf(231,plain,
X = addition(multiplication('SKOLEMAAAV2',X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,149,theory(equality)]),6,theory(equality)]) ).
cnf(232,plain,
addition(multiplication('SKOLEMAAAV2',X),addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[231]) ).
cnf(1134,plain,
addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2') = addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),c('SKOLEMAAAV3')),
inference('PARAMODULATE',[status(thm)],[232,136,theory(equality)]) ).
cnf(1272,plain,
addition(c('SKOLEMAAAV3'),'SKOLEMAAAV2') = addition(multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')),'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,161,theory(equality)]),1134,theory(equality)]) ).
cnf(1277,plain,
$false,
inference('REWRITE',[status(thm)],[24,149,94,1272,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE013+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 08:16:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T08:16:11
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T08:16:11
% 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).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.48 ; Declaring addition to be commutative.
% 1.76/1.94 ; Declaring addition to be associative-commutative.
% 1.76/1.94
% 1.76/1.94 #||
% 1.76/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.94 % SZS output start Refutation
% See solution above
% 1.76/1.95 ||#
% 1.76/1.95
% 1.76/1.95 ; Summary of computation:
% 1.76/1.95 ; 8885 formulas have been input or derived (from 197 formulas).
% 1.76/1.95 ; 1277 (14%) were retained. Of these,
% 1.76/1.95 ; 281 (22%) were simplified or subsumed later,
% 1.76/1.95 ; 996 (78%) are still being kept.
% 1.76/1.95 ;
% 1.76/1.95 ; Run time in seconds excluding printing time:
% 1.76/1.95 ; 0.005 0% Read assertion file (1 call)
% 1.76/1.95 ; 0.001 0% Assert (17 calls)
% 1.76/1.95 ; 0.134 9% Process new row (8,276 calls)
% 1.76/1.95 ; 0.027 2% Resolution (392 calls)
% 1.76/1.95 ; 0.099 7% Paramodulation (196 calls)
% 1.76/1.95 ; 0.000 0% Factoring (4 calls)
% 1.76/1.95 ; 0.001 0% Embedding (119 calls)
% 1.76/1.95 ; 0.036 2% Condensing (899 calls)
% 1.76/1.95 ; 0.051 3% Forward subsumption (899 calls)
% 1.76/1.95 ; 0.011 1% Backward subsumption (359 calls)
% 1.76/1.95 ; 0.020 1% Clause clause subsumption (2,971 calls)
% 1.76/1.95 ; 0.990 67% Forward simplification (8,120 calls)
% 1.76/1.95 ; 0.027 2% Backward simplification (1,161 calls)
% 1.76/1.95 ; 0.017 1% Ordering (5,644 calls)
% 1.76/1.95 ; 0.006 0% Ordering ac (992 calls)
% 1.76/1.95 ; 0.000 0% Sortal reasoning (32 calls)
% 1.76/1.95 ; 0.000 0% Purity testing (1 call)
% 1.76/1.95 ; 0.055 4% Other
% 1.76/1.95 ; 1.480 Total
% 1.76/1.95 ; 1.483 Real time
% 1.76/1.95 ;
% 1.76/1.95 ; Term-hash-array has 2,572 terms in all.
% 1.76/1.95 ; Feature-vector-row-index has 313 entries (318 at peak, 359 added, 46 deleted).
% 1.76/1.95 ; Feature-vector-row-index has 1,564 nodes (1,652 at peak, 2,005 added, 441 deleted).
% 1.76/1.95 ; Retrieved 3,628 possibly forward subsuming rows in 899 calls.
% 1.76/1.95 ; Retrieved 364 possibly backward subsumed rows in 359 calls.
% 1.76/1.95 ; Path-index has 2,088 entries (2,170 at peak, 2,586 added, 498 deleted).
% 1.76/1.95 ; Path-index has 603 nodes (603 at peak, 695 added, 92 deleted).
% 1.76/1.95 ; Trie-index has 2,088 entries (2,170 at peak, 2,586 added, 498 deleted).
% 1.76/1.95 ; Trie-index has 1,224 nodes (1,224 at peak, 1,547 added, 323 deleted).
% 1.76/1.95 ; Retrieved 1,237,672 generalization terms in 46,486 calls.
% 1.76/1.95 ; Retrieved 2,273 instance terms in 819 calls.
% 1.76/1.95 ; Retrieved 37,689 unifiable terms in 2,065 calls.
% 1.76/1.95 ;
% 1.76/1.95 ; The agenda of rows to process has 183 entries:
% 1.76/1.95 ; 16 with value 22 18 with value 29 5 with value 39
% 1.76/1.95 ; 14 with value 23 14 with value 30 1 with value 40
% 1.76/1.95 ; 17 with value 24 3 with value 32 1 with value 44
% 1.76/1.95 ; 15 with value 25 9 with value 33 1 with value 45
% 1.76/1.95 ; 21 with value 26 10 with value 34 2 with value 56
% 1.76/1.95 ; 6 with value 27 4 with value 35 4 with value 59
% 1.76/1.95 ; 15 with value 28 3 with value 36 4 with value 67
% 1.76/1.95 ; The agenda of rows to give has 829 entries:
% 1.76/1.95 ; 2 with value (4 10) 18 with value (4 29) 12 with value (4 53)
% 1.76/1.95 ; 1 with value (4 12) 20 with value (4 30) 4 with value (4 55)
% 1.76/1.95 ; 1 with value (4 15) 4 with value (4 31) 8 with value (4 56)
% 1.76/1.95 ; 43 with value (4 17) 26 with value (4 32) 5 with value (4 59)
% 1.76/1.95 ; 55 with value (4 18) 6 with value (4 33) 1 with value (4 61)
% 1.76/1.95 ; 75 with value (4 19) 22 with value (4 34) 4 with value (4 63)
% 1.76/1.95 ; 91 with value (4 20) 2 with value (4 35) 8 with value (4 65)
% 1.76/1.95 ; 59 with value (4 21) 16 with value (4 36) 4 with value (4 67)
% 1.76/1.95 ; 28 with value (4 22) 8 with value (4 37) 4 with value (4 68)
% 1.76/1.95 ; 53 with value (4 23) 5 with value (4 38) 4 with value (4 70)
% 1.76/1.95 ; 56 with value (4 24) 12 with value (4 39) 8 with value (4 77)
% 1.76/1.95 ; 63 with value (4 25) 2 with value (4 41) 2 with value (4 79)
% 1.76/1.95 ; 31 with value (4 26) 4 with value (4 46) 4 with value (4 93)
% 1.76/1.95 ; 23 with value (4 27) 6 with value (4 47) 8 with value (4 97)
% 1.76/1.95 ; 18 with value (4 28) 2 with value (4 51) 1 with value (4 107)
% 1.76/1.95 Evaluation took:
% 1.76/1.95 1.485 seconds of real time
% 1.76/1.95 1.416109 seconds of user run time
% 1.76/1.95 0.067641 seconds of system run time
% 1.76/1.95 [Run times include 0.05 seconds GC run time.]
% 1.76/1.95 0 calls to %EVAL
% 1.76/1.95 0 page faults and
% 1.76/1.95 149,678,992 bytes consed.
% 1.76/1.95 :PROOF-FOUND
% 1.76/1.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T08:16:13
% 1.76/1.95 :PROOF-FOUND
% 1.76/1.95 *
%------------------------------------------------------------------------------