TSTP Solution File: KLE034+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE034+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 7.80s 7.99s
% Output : Refutation 7.80s
% 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/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
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(24,negated_conjecture,
test('SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(28,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV5','SKOLEMAAAV3'),c('SKOLEMAAAV6')),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(29,negated_conjecture,
~ leq(multiplication(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),'SKOLEMAAAV3'),c('SKOLEMAAAV6')),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(30,plain,
~ leq(multiplication(multiplication('SKOLEMAAAV4',multiplication('SKOLEMAAAV2','SKOLEMAAAV3')),c('SKOLEMAAAV6')),zero),
inference('REWRITE',[status(thm)],[29,4,theory(equality)]) ).
cnf(32,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(41,plain,
multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,27]),1,theory(equality)]) ).
cnf(42,plain,
multiplication(multiplication('SKOLEMAAAV5','SKOLEMAAAV3'),c('SKOLEMAAAV6')) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,28]),1,theory(equality)]) ).
cnf(51,plain,
multiplication(multiplication(X,Y),multiplication(Z,U)) = multiplication(multiplication(X,multiplication(Y,Z)),U),
inference('PARAMODULATE',[status(thm)],[4,4,theory(equality)]) ).
cnf(52,plain,
~ leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))),zero),
inference('REWRITE',[status(thm)],[30,51,theory(equality)]) ).
cnf(53,plain,
multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))) != zero,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,52]),1,theory(equality)]) ).
cnf(137,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = one,
inference('HYPERRESOLVE',[status(thm)],[17,32]) ).
cnf(139,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,32]) ).
cnf(140,plain,
multiplication('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,32]) ).
cnf(311,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV5')),multiplication(X,'SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,137,theory(equality)]),5,theory(equality)]) ).
cnf(313,plain,
complement('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,137,theory(equality)]),140,139,theory(equality)]) ).
cnf(319,plain,
c('SKOLEMAAAV5') = 'SKOLEMAAAV1'('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[20,313,24]) ).
cnf(327,plain,
X = addition(multiplication(X,c('SKOLEMAAAV5')),multiplication(X,'SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[311,319,theory(equality)]) ).
cnf(531,plain,
zero = multiplication(multiplication(X,'SKOLEMAAAV5'),multiplication('SKOLEMAAAV3',c('SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,42,theory(equality)]),51,9,theory(equality)]) ).
cnf(3045,plain,
multiplication('SKOLEMAAAV4','SKOLEMAAAV2') = multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[327,41,theory(equality)]),1,theory(equality)]) ).
cnf(3060,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,3045,theory(equality)]),53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE034+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 11:53:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-16T11:53:54
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T11:53:54
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.51 ; Declaring addition to be commutative.
% 7.80/7.99 ; Declaring addition to be associative-commutative.
% 7.80/7.99
% 7.80/7.99 #||
% 7.80/7.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.80/7.99 % SZS output start Refutation
% See solution above
% 7.80/8.00 ||#
% 7.80/8.00
% 7.80/8.00 ; Summary of computation:
% 7.80/8.00 ; 23539 formulas have been input or derived (from 325 formulas).
% 7.80/8.00 ; 3060 (13%) were retained. Of these,
% 7.80/8.00 ; 341 (11%) were simplified or subsumed later,
% 7.80/8.00 ; 2719 (89%) are still being kept.
% 7.80/8.00 ;
% 7.80/8.00 ; Run time in seconds excluding printing time:
% 7.80/8.00 ; 0.005 0% Read assertion file (1 call)
% 7.80/8.00 ; 0.002 0% Assert (19 calls)
% 7.80/8.00 ; 0.356 5% Process new row (22,802 calls)
% 7.80/8.00 ; 0.094 1% Resolution (648 calls)
% 7.80/8.00 ; 0.265 4% Paramodulation (324 calls)
% 7.80/8.00 ; 0.000 0% Factoring (4 calls)
% 7.80/8.00 ; 0.002 0% Embedding (281 calls)
% 7.80/8.00 ; 0.068 1% Condensing (1,597 calls)
% 7.80/8.00 ; 0.097 1% Forward subsumption (1,597 calls)
% 7.80/8.00 ; 0.032 0% Backward subsumption (678 calls)
% 7.80/8.00 ; 0.028 0% Clause clause subsumption (5,391 calls)
% 7.80/8.00 ; 6.301 84% Forward simplification (22,505 calls)
% 7.80/8.00 ; 0.053 1% Backward simplification (2,817 calls)
% 7.80/8.00 ; 0.064 1% Ordering (15,291 calls)
% 7.80/8.00 ; 0.019 0% Ordering ac (2,127 calls)
% 7.80/8.00 ; 0.000 0% Sortal reasoning (32 calls)
% 7.80/8.00 ; 0.000 0% Purity testing (1 call)
% 7.80/8.00 ; 0.103 1% Other
% 7.80/8.01 ; 7.489 Total
% 7.80/8.01 ; 7.507 Real time
% 7.80/8.01 ;
% 7.80/8.01 ; Term-hash-array has 6,046 terms in all.
% 7.80/8.01 ; Feature-vector-row-index has 626 entries (626 at peak, 678 added, 52 deleted).
% 7.80/8.01 ; Feature-vector-row-index has 2,971 nodes (2,971 at peak, 3,340 added, 369 deleted).
% 7.80/8.01 ; Retrieved 6,964 possibly forward subsuming rows in 1,597 calls.
% 7.80/8.01 ; Retrieved 844 possibly backward subsumed rows in 678 calls.
% 7.80/8.01 ; Path-index has 5,452 entries (5,452 at peak, 6,128 added, 676 deleted).
% 7.80/8.01 ; Path-index has 1,058 nodes (1,058 at peak, 1,277 added, 219 deleted).
% 7.80/8.01 ; Trie-index has 5,452 entries (5,452 at peak, 6,128 added, 676 deleted).
% 7.80/8.01 ; Trie-index has 2,549 nodes (2,549 at peak, 3,283 added, 734 deleted).
% 7.80/8.01 ; Retrieved 10,001,882 generalization terms in 140,496 calls.
% 7.80/8.01 ; Retrieved 7,225 instance terms in 2,156 calls.
% 7.80/8.01 ; Retrieved 119,061 unifiable terms in 4,008 calls.
% 7.80/8.01 ;
% 7.80/8.01 ; The agenda of rows to process has 6 entries:
% 7.80/8.01 ; 1 with value 20 1 with value 22 2 with value 39
% 7.80/8.01 ; 1 with value 21 1 with value 23
% 7.80/8.01 ; The agenda of rows to give has 2425 entries:
% 7.80/8.01 ; 84 with value (4 17) 44 with value (4 33) 7 with value (4 59)
% 7.80/8.01 ; 86 with value (4 18) 77 with value (4 34) 1 with value (4 61)
% 7.80/8.01 ; 219 with value (4 19) 22 with value (4 35) 6 with value (4 62)
% 7.80/8.01 ; 244 with value (4 20) 43 with value (4 36) 12 with value (4 63)
% 7.80/8.01 ; 169 with value (4 21) 22 with value (4 37) 12 with value (4 65)
% 7.80/8.01 ; 101 with value (4 22) 5 with value (4 38) 6 with value (4 67)
% 7.80/8.01 ; 168 with value (4 23) 24 with value (4 39) 6 with value (4 68)
% 7.80/8.01 ; 153 with value (4 24) 2 with value (4 41) 12 with value (4 70)
% 7.80/8.01 ; 220 with value (4 25) 20 with value (4 42) 12 with value (4 77)
% 7.80/8.01 ; 116 with value (4 26) 6 with value (4 45) 2 with value (4 79)
% 7.80/8.01 ; 128 with value (4 27) 8 with value (4 47) 12 with value (4 84)
% 7.80/8.01 ; 79 with value (4 28) 2 with value (4 51) 6 with value (4 93)
% 7.80/8.01 ; 51 with value (4 29) 12 with value (4 53) 12 with value (4 97)
% 7.80/8.01 ; 60 with value (4 30) 6 with value (4 55) 12 with value (4 104)
% 7.80/8.01 ; 28 with value (4 31) 12 with value (4 56) 1 with value (4 107)
% 7.80/8.01 ; 83 with value (4 32) 12 with value (4 58)
% 7.80/8.01 Evaluation took:
% 7.80/8.01 7.508 seconds of real time
% 7.80/8.01 7.339144 seconds of user run time
% 7.80/8.01 0.169087 seconds of system run time
% 7.80/8.01 [Run times include 0.356 seconds GC run time.]
% 7.80/8.01 0 calls to %EVAL
% 7.80/8.01 0 page faults and
% 7.80/8.01 694,382,592 bytes consed.
% 7.80/8.01 :PROOF-FOUND
% 7.80/8.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T11:54:02
% 7.80/8.01 :PROOF-FOUND
% 7.80/8.01 *
%------------------------------------------------------------------------------