TSTP Solution File: KLE131+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 02:26:45 EDT 2022
% Result : Theorem 30.72s 30.92s
% Output : Refutation 30.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 4 RR)
% Number of literals : 56 ( 55 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/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/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(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(13,axiom,
multiplication(antidomain(X),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
cnf(14,axiom,
addition(antidomain(multiplication(X,Y)),antidomain(multiplication(X,antidomain(antidomain(Y))))) = antidomain(multiplication(X,antidomain(antidomain(Y)))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).
cnf(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
cnf(17,plain,
addition(antidomain(antidomain(X)),addition(antidomain(X),Y)) = addition(one,Y),
inference('EMBED',[status(thm)],[16]) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(25,axiom,
c(X) = antidomain(domain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',complement) ).
cnf(26,plain,
c(X) = antidomain(antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).
cnf(27,axiom,
domain_difference(X,Y) = multiplication(domain(X),antidomain(Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',domain_difference) ).
cnf(28,plain,
domain_difference(X,Y) = multiplication(antidomain(antidomain(X)),antidomain(Y)),
inference('REWRITE',[status(thm)],[27,18,theory(equality)]) ).
cnf(29,axiom,
forward_diamond(X,Y) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
cnf(30,plain,
forward_diamond(X,Y) = antidomain(antidomain(multiplication(X,antidomain(antidomain(Y))))),
inference('REWRITE',[status(thm)],[29,18,theory(equality)]) ).
cnf(33,axiom,
forward_box(X,Y) = c(forward_diamond(X,c(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_box) ).
cnf(34,plain,
forward_box(X,Y) = antidomain(antidomain(antidomain(forward_diamond(X,antidomain(antidomain(antidomain(Y))))))),
inference('REWRITE',[status(thm)],[33,26,theory(equality)]) ).
cnf(37,axiom,
forward_diamond(X,divergence(X)) = divergence(X),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+7.ax',divergence1) ).
cnf(40,negated_conjecture,
addition(domain(X),forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain(X),forward_diamond('SKOLEMAAAV1',domain(X))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(domain(X),forward_diamond('SKOLEMAAAV1',domain(X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(41,plain,
addition(antidomain(antidomain(X)),forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X)))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),forward_diamond('SKOLEMAAAV1',antidomain(antidomain(X))))),
inference('REWRITE',[status(thm)],[40,18,theory(equality)]) ).
cnf(43,negated_conjecture,
divergence('SKOLEMAAAV1') != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(44,plain,
zero = antidomain(one),
inference('PARAMODULATE',[status(thm)],[5,13,theory(equality)]) ).
cnf(54,plain,
addition(one,antidomain(X)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(81,plain,
domain_difference(X,X) = zero,
inference('PARAMODULATE',[status(thm)],[13,28,theory(equality)]) ).
cnf(84,plain,
X = addition(multiplication(X,antidomain(antidomain(Y))),multiplication(X,antidomain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]),5,theory(equality)]) ).
cnf(141,plain,
domain_difference(X,antidomain(antidomain(forward_diamond(Y,antidomain(antidomain(antidomain(Z))))))) = multiplication(antidomain(antidomain(X)),forward_box(Y,Z)),
inference('PARAMODULATE',[status(thm)],[28,34,theory(equality)]) ).
cnf(167,plain,
addition(antidomain(X),antidomain(antidomain(antidomain(X)))) = antidomain(antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,6,theory(equality)]),6,theory(equality)]) ).
cnf(308,plain,
antidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,44,theory(equality)]),1,theory(equality)]) ).
cnf(316,plain,
forward_box(X,one) = antidomain(antidomain(antidomain(forward_diamond(X,zero)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,44,theory(equality)]),44,308,theory(equality)]) ).
cnf(344,plain,
forward_diamond(X,zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,308,theory(equality)]),308,9,44,theory(equality)]) ).
cnf(345,plain,
forward_box(X,one) = one,
inference('REWRITE',[status(thm)],[316,44,308,344,theory(equality)]) ).
cnf(374,plain,
X = addition(X,multiplication(antidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,54,theory(equality)]),6,theory(equality)]) ).
cnf(518,plain,
antidomain(X) = addition(antidomain(X),domain_difference(Y,X)),
inference('PARAMODULATE',[status(thm)],[374,28,theory(equality)]) ).
cnf(7979,plain,
antidomain(antidomain(antidomain(X))) = domain_difference(antidomain(X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[84,13,theory(equality)]),1,28,theory(equality)]) ).
cnf(8086,plain,
antidomain(X) = antidomain(antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[518,7979,theory(equality)]),167,theory(equality)]) ).
cnf(8113,plain,
domain_difference(X,antidomain(antidomain(forward_diamond(Y,antidomain(Z))))) = multiplication(antidomain(antidomain(X)),forward_box(Y,Z)),
inference('REWRITE',[status(thm)],[141,8086,theory(equality)]) ).
cnf(8178,plain,
forward_box(X,Y) = antidomain(forward_diamond(X,antidomain(Y))),
inference('REWRITE',[status(thm)],[34,8086,theory(equality)]) ).
cnf(8184,plain,
domain_difference(X,antidomain(forward_box(Y,Z))) = multiplication(antidomain(antidomain(X)),forward_box(Y,Z)),
inference('REWRITE',[status(thm)],[8113,8178,theory(equality)]) ).
cnf(8318,plain,
domain_difference(X,forward_diamond(Y,antidomain(Z))) = domain_difference(X,antidomain(forward_box(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,8178,theory(equality)]),8184,theory(equality)]) ).
cnf(8385,plain,
addition(antidomain(antidomain(X)),forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),antidomain(forward_box('SKOLEMAAAV1',antidomain(X)))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(antidomain(antidomain(X)),antidomain(forward_box('SKOLEMAAAV1',antidomain(X))))),
inference('REWRITE',[status(thm)],[41,8318,theory(equality)]) ).
cnf(8496,plain,
domain_difference(antidomain(X),Y) = multiplication(antidomain(X),antidomain(Y)),
inference('PARAMODULATE',[status(thm)],[28,8086,theory(equality)]) ).
cnf(8548,plain,
domain_difference(X,Y) = domain_difference(antidomain(antidomain(X)),Y),
inference('REWRITE',[status(thm)],[28,8496,theory(equality)]) ).
cnf(8549,plain,
addition(antidomain(antidomain(X)),forward_diamond(star('SKOLEMAAAV1'),domain_difference(X,antidomain(forward_box('SKOLEMAAAV1',antidomain(X)))))) = forward_diamond(star('SKOLEMAAAV1'),domain_difference(X,antidomain(forward_box('SKOLEMAAAV1',antidomain(X))))),
inference('REWRITE',[status(thm)],[8385,8548,theory(equality)]) ).
cnf(8659,plain,
forward_diamond(X,Y) = antidomain(antidomain(forward_diamond(X,Y))),
inference('PARAMODULATE',[status(thm)],[8086,30,theory(equality)]) ).
cnf(8665,plain,
forward_diamond(X,antidomain(Y)) = antidomain(antidomain(multiplication(X,antidomain(Y)))),
inference('PARAMODULATE',[status(thm)],[30,8086,theory(equality)]) ).
cnf(8666,plain,
forward_diamond(X,Y) = forward_diamond(X,antidomain(antidomain(Y))),
inference('REWRITE',[status(thm)],[30,8665,theory(equality)]) ).
cnf(8710,plain,
forward_box(X,antidomain(Y)) = antidomain(forward_diamond(X,Y)),
inference('PARAMODULATE',[status(thm)],[8178,8666,theory(equality)]) ).
cnf(8764,plain,
forward_diamond(X,Y) = antidomain(forward_box(X,antidomain(Y))),
inference('REWRITE',[status(thm)],[8659,8710,theory(equality)]) ).
cnf(8835,plain,
addition(antidomain(antidomain(X)),antidomain(forward_box(star('SKOLEMAAAV1'),antidomain(domain_difference(X,antidomain(forward_box('SKOLEMAAAV1',antidomain(X)))))))) = antidomain(forward_box(star('SKOLEMAAAV1'),antidomain(domain_difference(X,antidomain(forward_box('SKOLEMAAAV1',antidomain(X))))))),
inference('REWRITE',[status(thm)],[8549,8764,theory(equality)]) ).
cnf(8893,plain,
antidomain(forward_box(X,antidomain(divergence(X)))) = divergence(X),
inference('REWRITE',[status(thm)],[37,8764,theory(equality)]) ).
cnf(8964,plain,
divergence(X) = antidomain(antidomain(divergence(X))),
inference('PARAMODULATE',[status(thm)],[8086,8893,theory(equality)]) ).
cnf(9006,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8835,8893,theory(equality)]),43,1,44,345,308,81,8964,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Thu Jun 16 09:08:10 EDT 2022
% 0.20/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:08:10
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-16T09:08:10
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.51 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.20/0.52 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.20/0.52 ; Declaring addition to be commutative.
% 30.72/30.92 ; Declaring addition to be associative-commutative.
% 30.72/30.92
% 30.72/30.92 #||
% 30.72/30.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.72/30.92 % SZS output start Refutation
% See solution above
% 30.72/30.92 ||#
% 30.72/30.92
% 30.72/30.92 ; Summary of computation:
% 30.72/30.92 ; 60104 formulas have been input or derived (from 482 formulas).
% 30.72/30.92 ; 9006 (15%) were retained. Of these,
% 30.72/30.92 ; 3095 (34%) were simplified or subsumed later,
% 30.72/30.92 ; 5911 (66%) are still being kept.
% 30.72/30.92 ;
% 30.72/30.92 ; Run time in seconds excluding printing time:
% 30.72/30.92 ; 0.007 0% Read assertion file (1 call)
% 30.72/30.92 ; 0.002 0% Assert (29 calls)
% 30.72/30.92 ; 1.237 4% Process new row (56,235 calls)
% 30.72/30.92 ; 0.104 0% Resolution (962 calls)
% 30.72/30.92 ; 0.833 3% Paramodulation (481 calls)
% 30.72/30.92 ; 0.011 0% Embedding (866 calls)
% 30.72/30.92 ; 0.036 0% Condensing (1,519 calls)
% 30.72/30.92 ; 0.083 0% Forward subsumption (1,519 calls)
% 30.72/30.92 ; 0.021 0% Backward subsumption (525 calls)
% 30.72/30.92 ; 0.034 0% Clause clause subsumption (4,563 calls)
% 30.72/30.92 ; 27.173 89% Forward simplification (55,191 calls)
% 30.72/30.92 ; 0.483 2% Backward simplification (8,135 calls)
% 30.72/30.92 ; 0.163 1% Ordering (43,780 calls)
% 30.72/30.92 ; 0.027 0% Ordering ac (6,460 calls)
% 30.72/30.92 ; 0.002 0% Sortal reasoning (32 calls)
% 30.72/30.92 ; 0.000 0% Purity testing (1 call)
% 30.72/30.92 ; 0.199 1% Other
% 30.72/30.92 ; 30.415 Total
% 30.72/30.92 ; 30.425 Real time
% 30.72/30.92 ;
% 30.72/30.92 ; Term-hash-array has 18,038 terms in all.
% 30.72/30.92 ; Feature-vector-row-index has 366 entries (438 at peak, 525 added, 159 deleted).
% 30.72/30.92 ; Feature-vector-row-index has 2,274 nodes (2,663 at peak, 4,235 added, 1,961 deleted).
% 30.72/30.92 ; Retrieved 7,059 possibly forward subsuming rows in 1,519 calls.
% 30.72/30.92 ; Retrieved 418 possibly backward subsumed rows in 525 calls.
% 30.72/30.92 ; Path-index has 11,940 entries (15,468 at peak, 18,586 added, 6,646 deleted).
% 30.72/30.92 ; Path-index has 9,396 nodes (9,396 at peak, 12,386 added, 2,990 deleted).
% 30.72/30.92 ; Trie-index has 11,940 entries (15,468 at peak, 18,586 added, 6,646 deleted).
% 30.72/30.92 ; Trie-index has 9,800 nodes (12,879 at peak, 19,638 added, 9,838 deleted).
% 30.72/30.92 ; Retrieved 85,926,623 generalization terms in 357,005 calls.
% 30.72/30.92 ; Retrieved 28,791 instance terms in 7,669 calls.
% 30.72/30.92 ; Retrieved 241,971 unifiable terms in 3,501 calls.
% 30.72/30.92 ;
% 30.72/30.92 ; The agenda of rows to process has 44 entries:
% 30.72/30.92 ; 1 with value 35 8 with value 43 1 with value 48
% 30.72/30.92 ; 1 with value 36 4 with value 44 1 with value 49
% 30.72/30.92 ; 1 with value 37 4 with value 45 1 with value 50
% 30.72/30.92 ; 3 with value 39 7 with value 46 1 with value 58
% 30.72/30.92 ; 1 with value 40 4 with value 47 1 with value 68
% 30.72/30.92 ; 5 with value 41
% 30.72/30.92 ; The agenda of input rows to give has 2 entries:
% 30.72/30.92 ; 1 with value 38 1 with value 56
% 30.72/30.92 ; The agenda of rows to give has 5528 entries:
% 30.72/30.92 ; 6 with value (4 15) 197 with value (4 32) 2 with value (4 49)
% 30.72/30.92 ; 7 with value (4 16) 91 with value (4 33) 3 with value (4 50)
% 30.72/30.92 ; 19 with value (4 17) 88 with value (4 34) 2 with value (4 51)
% 30.72/30.92 ; 201 with value (4 18) 61 with value (4 35) 2 with value (4 52)
% 30.72/30.92 ; 312 with value (4 19) 81 with value (4 36) 4 with value (4 53)
% 30.72/30.92 ; 384 with value (4 20) 81 with value (4 37) 2 with value (4 55)
% 30.72/30.92 ; 547 with value (4 21) 61 with value (4 38) 2 with value (4 56)
% 30.72/30.92 ; 575 with value (4 22) 70 with value (4 39) 2 with value (4 57)
% 30.72/30.92 ; 483 with value (4 23) 31 with value (4 40) 2 with value (4 59)
% 30.72/30.92 ; 284 with value (4 24) 11 with value (4 41) 3 with value (4 60)
% 30.72/30.92 ; 278 with value (4 25) 8 with value (4 42) 5 with value (4 61)
% 30.72/30.92 ; 337 with value (4 26) 16 with value (4 43) 5 with value (4 62)
% 30.72/30.92 ; 238 with value (4 27) 9 with value (4 44) 1 with value (4 63)
% 30.72/30.92 ; 219 with value (4 28) 8 with value (4 45) 1 with value (4 64)
% 30.72/30.92 ; 265 with value (4 29) 10 with value (4 46) 1 with value (4 68)
% 30.72/30.92 ; 282 with value (4 30) 8 with value (4 47) 1 with value (4 70)
% 30.72/30.92 ; 211 with value (4 31) 11 with value (4 48)
% 30.72/30.92 Evaluation took:
% 30.72/30.92 30.426 seconds of real time
% 30.72/30.92 30.00355 seconds of user run time
% 30.72/30.92 0.417055 seconds of system run time
% 30.72/30.92 [Run times include 1.08 seconds GC run time.]
% 30.72/30.92 0 calls to %EVAL
% 30.72/30.92 0 page faults and
% 30.72/30.92 1,221,276,096 bytes consed.
% 30.72/30.92 :PROOF-FOUND
% 30.72/30.92 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:08:41
% 30.72/30.92 :PROOF-FOUND
% 30.72/30.92 *
%------------------------------------------------------------------------------