TSTP Solution File: KLE034+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 02:26:18 EDT 2022
% Result : Theorem 4.47s 4.65s
% Output : Refutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 34 ( 26 unt; 0 nHn; 25 RR)
% Number of literals : 45 ( 26 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_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(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),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(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV5','SKOLEMAAAV3'),c('SKOLEMAAAV6')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
~ leq(multiplication(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),'SKOLEMAAAV3'),c('SKOLEMAAAV6')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
~ leq(multiplication(multiplication('SKOLEMAAAV4',multiplication('SKOLEMAAAV2','SKOLEMAAAV3')),c('SKOLEMAAAV6')),zero),
inference('REWRITE',[status(thm)],[27,4,theory(equality)]) ).
cnf(30,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(39,plain,
multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,25]),1,theory(equality)]) ).
cnf(40,plain,
multiplication(multiplication('SKOLEMAAAV5','SKOLEMAAAV3'),c('SKOLEMAAAV6')) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,26]),1,theory(equality)]) ).
cnf(49,plain,
multiplication(multiplication(X,Y),multiplication(Z,U)) = multiplication(multiplication(X,multiplication(Y,Z)),U),
inference('PARAMODULATE',[status(thm)],[4,4,theory(equality)]) ).
cnf(50,plain,
~ leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))),zero),
inference('REWRITE',[status(thm)],[28,49,theory(equality)]) ).
cnf(51,plain,
multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))) != zero,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,50]),1,theory(equality)]) ).
cnf(92,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = one,
inference('HYPERRESOLVE',[status(thm)],[17,30]) ).
cnf(94,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,30]) ).
cnf(95,plain,
multiplication('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,30]) ).
cnf(162,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV5')),multiplication(X,'SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,92,theory(equality)]),5,theory(equality)]) ).
cnf(164,plain,
complement('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,92,theory(equality)]),95,94,theory(equality)]) ).
cnf(170,plain,
c('SKOLEMAAAV5') = 'SKOLEMAAAV1'('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[20,164,22]) ).
cnf(178,plain,
X = addition(multiplication(X,c('SKOLEMAAAV5')),multiplication(X,'SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[162,170,theory(equality)]) ).
cnf(333,plain,
zero = multiplication(multiplication(X,'SKOLEMAAAV5'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,40,theory(equality)]),49,9,theory(equality)]) ).
cnf(2581,plain,
multiplication('SKOLEMAAAV4','SKOLEMAAAV2') = multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[178,39,theory(equality)]),1,theory(equality)]) ).
cnf(2597,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[333,2581,theory(equality)]),51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 12:13:36 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:13:36
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T12:13:36
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.52 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.52 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.52 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.52 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.52 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.52 ; Declaring addition to be commutative.
% 4.47/4.65 ; Declaring addition to be associative-commutative.
% 4.47/4.65
% 4.47/4.65 #||
% 4.47/4.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.47/4.65 % SZS output start Refutation
% See solution above
% 4.47/4.66 ||#
% 4.47/4.66
% 4.47/4.66 ; Summary of computation:
% 4.47/4.66 ; 18066 formulas have been input or derived (from 302 formulas).
% 4.47/4.66 ; 2597 (14%) were retained. Of these,
% 4.47/4.66 ; 392 (15%) were simplified or subsumed later,
% 4.47/4.66 ; 2205 (85%) are still being kept.
% 4.47/4.66 ;
% 4.47/4.66 ; Run time in seconds excluding printing time:
% 4.47/4.66 ; 0.005 0% Read assertion file (1 call)
% 4.47/4.66 ; 0.001 0% Assert (17 calls)
% 4.47/4.66 ; 0.268 6% Process new row (17,019 calls)
% 4.47/4.66 ; 0.066 2% Resolution (602 calls)
% 4.47/4.66 ; 0.201 5% Paramodulation (301 calls)
% 4.47/4.66 ; 0.000 0% Factoring (4 calls)
% 4.47/4.66 ; 0.001 0% Embedding (228 calls)
% 4.47/4.66 ; 0.077 2% Condensing (1,363 calls)
% 4.47/4.66 ; 0.082 2% Forward subsumption (1,363 calls)
% 4.47/4.66 ; 0.017 0% Backward subsumption (562 calls)
% 4.47/4.66 ; 0.027 1% Clause clause subsumption (5,103 calls)
% 4.47/4.66 ; 3.209 77% Forward simplification (16,739 calls)
% 4.47/4.66 ; 0.065 2% Backward simplification (2,371 calls)
% 4.47/4.66 ; 0.045 1% Ordering (11,531 calls)
% 4.47/4.66 ; 0.010 0% Ordering ac (2,168 calls)
% 4.47/4.66 ; 0.001 0% Sortal reasoning (32 calls)
% 4.47/4.66 ; 0.000 0% Purity testing (1 call)
% 4.47/4.66 ; 0.072 2% Other
% 4.47/4.66 ; 4.147 Total
% 4.47/4.66 ; 4.156 Real time
% 4.47/4.66 ;
% 4.47/4.66 ; Term-hash-array has 5,010 terms in all.
% 4.47/4.66 ; Feature-vector-row-index has 508 entries (508 at peak, 562 added, 54 deleted).
% 4.47/4.66 ; Feature-vector-row-index has 2,625 nodes (2,625 at peak, 3,112 added, 487 deleted).
% 4.47/4.66 ; Retrieved 6,317 possibly forward subsuming rows in 1,363 calls.
% 4.47/4.66 ; Retrieved 606 possibly backward subsumed rows in 562 calls.
% 4.47/4.66 ; Path-index has 4,345 entries (4,345 at peak, 5,033 added, 688 deleted).
% 4.47/4.66 ; Path-index has 782 nodes (782 at peak, 933 added, 151 deleted).
% 4.47/4.66 ; Trie-index has 4,345 entries (4,345 at peak, 5,033 added, 688 deleted).
% 4.47/4.66 ; Trie-index has 2,194 nodes (2,194 at peak, 2,698 added, 504 deleted).
% 4.47/4.66 ; Retrieved 5,674,138 generalization terms in 89,570 calls.
% 4.47/4.66 ; Retrieved 5,450 instance terms in 1,826 calls.
% 4.47/4.66 ; Retrieved 90,568 unifiable terms in 3,293 calls.
% 4.47/4.66 ;
% 4.47/4.66 ; The agenda of rows to process has 6 entries:
% 4.47/4.66 ; 1 with value 20 1 with value 22 2 with value 39
% 4.47/4.66 ; 1 with value 21 1 with value 23
% 4.47/4.66 ; The agenda of rows to give has 1939 entries:
% 4.47/4.66 ; 107 with value (4 17) 63 with value (4 32) 6 with value (4 55)
% 4.47/4.66 ; 141 with value (4 18) 13 with value (4 33) 12 with value (4 56)
% 4.47/4.66 ; 198 with value (4 19) 43 with value (4 34) 7 with value (4 59)
% 4.47/4.66 ; 240 with value (4 20) 7 with value (4 35) 1 with value (4 61)
% 4.47/4.66 ; 140 with value (4 21) 24 with value (4 36) 6 with value (4 63)
% 4.47/4.66 ; 72 with value (4 22) 12 with value (4 37) 12 with value (4 65)
% 4.47/4.66 ; 122 with value (4 23) 5 with value (4 38) 6 with value (4 67)
% 4.47/4.66 ; 160 with value (4 24) 16 with value (4 39) 6 with value (4 68)
% 4.47/4.66 ; 127 with value (4 25) 2 with value (4 41) 14 with value (4 70)
% 4.47/4.66 ; 114 with value (4 26) 8 with value (4 42) 12 with value (4 77)
% 4.47/4.66 ; 49 with value (4 27) 6 with value (4 46) 2 with value (4 79)
% 4.47/4.66 ; 42 with value (4 28) 8 with value (4 47) 6 with value (4 93)
% 4.47/4.66 ; 31 with value (4 29) 2 with value (4 51) 12 with value (4 97)
% 4.47/4.66 ; 48 with value (4 30) 26 with value (4 53) 1 with value (4 107)
% 4.47/4.66 ; 10 with value (4 31)
% 4.47/4.66 Evaluation took:
% 4.47/4.66 4.156 seconds of real time
% 4.47/4.66 4.010496 seconds of user run time
% 4.47/4.66 0.146026 seconds of system run time
% 4.47/4.66 [Run times include 0.162 seconds GC run time.]
% 4.47/4.66 0 calls to %EVAL
% 4.47/4.66 0 page faults and
% 4.47/4.66 367,850,432 bytes consed.
% 4.47/4.66 :PROOF-FOUND
% 4.47/4.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T12:13:40
% 4.47/4.66 :PROOF-FOUND
% 4.47/4.66 *
%------------------------------------------------------------------------------