TSTP Solution File: KLE120+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 02:26:43 EDT 2022
% Result : Theorem 28.83s 29.04s
% Output : Refutation 28.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 61 ( 59 unt; 0 nHn; 10 RR)
% Number of literals : 63 ( 55 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
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(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(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,
multiplication(antidomain(X),X) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).
cnf(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(19,axiom,
multiplication(X,coantidomain(X)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain1) ).
cnf(20,axiom,
addition(coantidomain(multiplication(X,Y)),coantidomain(multiplication(coantidomain(coantidomain(X)),Y))) = coantidomain(multiplication(coantidomain(coantidomain(X)),Y)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain2) ).
cnf(22,axiom,
addition(coantidomain(coantidomain(X)),coantidomain(X)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain3) ).
cnf(23,plain,
addition(coantidomain(coantidomain(X)),addition(coantidomain(X),Y)) = addition(one,Y),
inference('EMBED',[status(thm)],[22]) ).
cnf(24,axiom,
codomain(X) = coantidomain(coantidomain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain4) ).
cnf(27,axiom,
domain_difference(X,Y) = multiplication(domain(X),antidomain(Y)),
file('/export/starexec/sandbox/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(31,axiom,
backward_diamond(X,Y) = codomain(multiplication(codomain(Y),X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
cnf(32,plain,
backward_diamond(X,Y) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(Y)),X))),
inference('REWRITE',[status(thm)],[31,24,theory(equality)]) ).
cnf(37,negated_conjecture,
addition(backward_diamond(one,domain('SKOLEMAAAV1')),domain('SKOLEMAAAV1')) != domain('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(38,plain,
addition(backward_diamond(one,antidomain(antidomain('SKOLEMAAAV1'))),antidomain(antidomain('SKOLEMAAAV1'))) != antidomain(antidomain('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[37,18,theory(equality)]) ).
cnf(40,plain,
zero = coantidomain(one),
inference('PARAMODULATE',[status(thm)],[6,19,theory(equality)]) ).
cnf(49,plain,
addition(one,antidomain(X)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(59,plain,
addition(one,coantidomain(X)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,23,theory(equality)]),22,theory(equality)]) ).
cnf(79,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(81,plain,
X = addition(multiplication(X,coantidomain(coantidomain(Y))),multiplication(X,coantidomain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,22,theory(equality)]),5,theory(equality)]) ).
cnf(89,plain,
X = addition(multiplication(antidomain(antidomain(Y)),X),multiplication(antidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(91,plain,
X = addition(multiplication(coantidomain(coantidomain(Y)),X),multiplication(coantidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,22,theory(equality)]),6,theory(equality)]) ).
cnf(116,plain,
backward_diamond(one,X) = coantidomain(coantidomain(coantidomain(coantidomain(X)))),
inference('PARAMODULATE',[status(thm)],[32,5,theory(equality)]) ).
cnf(117,plain,
addition(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain('SKOLEMAAAV1')))))),antidomain(antidomain('SKOLEMAAAV1'))) != antidomain(antidomain('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[38,116,theory(equality)]) ).
cnf(162,plain,
~ leq(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain('SKOLEMAAAV1')))))),antidomain(antidomain('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[11,117]) ).
cnf(164,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(226,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X)),coantidomain(X)))) = coantidomain(multiplication(coantidomain(coantidomain(X)),coantidomain(X))),
inference('PARAMODULATE',[status(thm)],[20,19,theory(equality)]) ).
cnf(228,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X))),X))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X))),X)),
inference('PARAMODULATE',[status(thm)],[20,13,theory(equality)]) ).
cnf(270,plain,
coantidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,40,theory(equality)]),1,theory(equality)]) ).
cnf(273,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(X)),coantidomain(X))),
inference('REWRITE',[status(thm)],[226,59,270,theory(equality)]) ).
cnf(274,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X))),X)),
inference('REWRITE',[status(thm)],[228,59,270,theory(equality)]) ).
cnf(309,plain,
X = addition(X,multiplication(antidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,49,theory(equality)]),6,theory(equality)]) ).
cnf(311,plain,
X = addition(X,multiplication(X,antidomain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,49,theory(equality)]),5,theory(equality)]) ).
cnf(323,plain,
X = addition(X,multiplication(X,coantidomain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,59,theory(equality)]),5,theory(equality)]) ).
cnf(448,plain,
antidomain(X) = addition(antidomain(X),domain_difference(Y,X)),
inference('PARAMODULATE',[status(thm)],[309,28,theory(equality)]) ).
cnf(599,plain,
leq(multiplication(X,coantidomain(Y)),X),
inference('HYPERRESOLVE',[status(thm)],[12,323]) ).
cnf(1030,plain,
multiplication(coantidomain(coantidomain(X)),coantidomain(X)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,273,theory(equality)]),5,4,theory(equality)]) ).
cnf(1250,plain,
multiplication(coantidomain(coantidomain(antidomain(X))),X) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,274,theory(equality)]),5,4,theory(equality)]) ).
cnf(7067,plain,
antidomain(antidomain(antidomain(X))) = domain_difference(antidomain(X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,13,theory(equality)]),1,28,theory(equality)]) ).
cnf(7171,plain,
antidomain(X) = antidomain(antidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[448,7067,theory(equality)]),164,theory(equality)]) ).
cnf(7757,plain,
coantidomain(coantidomain(coantidomain(X))) = multiplication(coantidomain(coantidomain(coantidomain(X))),coantidomain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[81,1030,theory(equality)]),1,theory(equality)]) ).
cnf(7955,plain,
coantidomain(antidomain(X)) = multiplication(antidomain(antidomain(X)),coantidomain(antidomain(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,19,theory(equality)]),1,theory(equality)]) ).
cnf(8047,plain,
leq(coantidomain(antidomain(X)),antidomain(antidomain(X))),
inference('PARAMODULATE',[status(thm)],[599,7955,theory(equality)]) ).
cnf(8065,plain,
leq(coantidomain(antidomain(antidomain(X))),antidomain(X)),
inference('PARAMODULATE',[status(thm)],[8047,7171,theory(equality)]) ).
cnf(8070,plain,
addition(coantidomain(antidomain(antidomain(X))),antidomain(X)) = antidomain(X),
inference('HYPERRESOLVE',[status(thm)],[11,8065]) ).
cnf(8131,plain,
X = multiplication(coantidomain(antidomain(X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,1250,theory(equality)]),1,theory(equality)]) ).
cnf(8136,plain,
coantidomain(X) = coantidomain(coantidomain(coantidomain(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,1030,theory(equality)]),1,7757,theory(equality)]) ).
cnf(8138,plain,
~ leq(coantidomain(coantidomain(antidomain(antidomain('SKOLEMAAAV1')))),antidomain(antidomain('SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[162,8136,theory(equality)]) ).
cnf(8204,plain,
coantidomain(antidomain(antidomain(X))) = antidomain(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[311,8131,theory(equality)]),8070,theory(equality)]) ).
cnf(8209,plain,
$false,
inference('REWRITE',[status(thm)],[8138,8047,8204,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n005.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 15:04:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T15:04:39
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T15:04:39
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.18/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.18/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.18/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.18/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.48 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.18/0.48 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.18/0.48 ; Declaring addition to be commutative.
% 28.83/29.04 ; Declaring addition to be associative-commutative.
% 28.83/29.04
% 28.83/29.04 #||
% 28.83/29.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.83/29.04 % SZS output start Refutation
% See solution above
% 28.83/29.04 ||#
% 28.83/29.04
% 28.83/29.04 ; Summary of computation:
% 28.83/29.04 ; 57054 formulas have been input or derived (from 473 formulas).
% 28.83/29.04 ; 8209 (14%) were retained. Of these,
% 28.83/29.04 ; 2637 (32%) were simplified or subsumed later,
% 28.83/29.04 ; 5572 (68%) are still being kept.
% 28.83/29.04 ;
% 28.83/29.04 ; Run time in seconds excluding printing time:
% 28.83/29.04 ; 0.006 0% Read assertion file (1 call)
% 28.83/29.04 ; 0.001 0% Assert (27 calls)
% 28.83/29.04 ; 1.093 4% Process new row (53,543 calls)
% 28.83/29.04 ; 0.104 0% Resolution (944 calls)
% 28.83/29.04 ; 0.846 3% Paramodulation (472 calls)
% 28.83/29.04 ; 0.013 0% Embedding (839 calls)
% 28.83/29.04 ; 0.041 0% Condensing (1,393 calls)
% 28.83/29.04 ; 0.059 0% Forward subsumption (1,393 calls)
% 28.83/29.04 ; 0.023 0% Backward subsumption (420 calls)
% 28.83/29.04 ; 0.020 0% Clause clause subsumption (4,635 calls)
% 28.83/29.04 ; 25.488 89% Forward simplification (52,424 calls)
% 28.83/29.04 ; 0.464 2% Backward simplification (7,366 calls)
% 28.83/29.04 ; 0.161 1% Ordering (41,214 calls)
% 28.83/29.04 ; 0.027 0% Ordering ac (6,125 calls)
% 28.83/29.04 ; 0.000 0% Sortal reasoning (32 calls)
% 28.83/29.04 ; 0.000 0% Purity testing (1 call)
% 28.83/29.04 ; 0.231 1% Other
% 28.83/29.04 ; 28.577 Total
% 28.83/29.04 ; 28.580 Real time
% 28.83/29.04 ;
% 28.83/29.04 ; Term-hash-array has 16,338 terms in all.
% 28.83/29.04 ; Feature-vector-row-index has 345 entries (387 at peak, 420 added, 75 deleted).
% 28.83/29.04 ; Feature-vector-row-index has 1,865 nodes (2,008 at peak, 2,218 added, 353 deleted).
% 28.83/29.04 ; Retrieved 6,744 possibly forward subsuming rows in 1,393 calls.
% 28.83/29.04 ; Retrieved 279 possibly backward subsumed rows in 420 calls.
% 28.83/29.04 ; Path-index has 11,286 entries (13,666 at peak, 16,586 added, 5,300 deleted).
% 28.83/29.04 ; Path-index has 8,698 nodes (8,736 at peak, 10,991 added, 2,293 deleted).
% 28.83/29.04 ; Trie-index has 11,286 entries (13,666 at peak, 16,586 added, 5,300 deleted).
% 28.83/29.04 ; Trie-index has 9,742 nodes (10,848 at peak, 17,763 added, 8,021 deleted).
% 28.83/29.04 ; Retrieved 73,588,921 generalization terms in 331,127 calls.
% 28.83/29.04 ; Retrieved 26,504 instance terms in 7,009 calls.
% 28.83/29.04 ; Retrieved 223,720 unifiable terms in 3,380 calls.
% 28.83/29.04 ;
% 28.83/29.04 ; The agenda of rows to process has 23 entries:
% 28.83/29.04 ; 4 with value 21 4 with value 24 3 with value 29
% 28.83/29.04 ; 5 with value 22 1 with value 25 2 with value 30
% 28.83/29.04 ; 1 with value 23 2 with value 26 1 with value 32
% 28.83/29.04 ; The agenda of input rows to give has 1 entry:
% 28.83/29.04 ; 1 with value 10
% 28.83/29.04 ; The agenda of rows to give has 5194 entries:
% 28.83/29.04 ; 1 with value (4 14) 341 with value (4 26) 70 with value (4 37)
% 28.83/29.04 ; 2 with value (4 15) 226 with value (4 27) 59 with value (4 38)
% 28.83/29.04 ; 3 with value (4 16) 187 with value (4 28) 70 with value (4 39)
% 28.83/29.04 ; 3 with value (4 17) 251 with value (4 29) 30 with value (4 40)
% 28.83/29.04 ; 178 with value (4 18) 245 with value (4 30) 1 with value (4 41)
% 28.83/29.04 ; 289 with value (4 19) 197 with value (4 31) 4 with value (4 42)
% 28.83/29.04 ; 358 with value (4 20) 209 with value (4 32) 6 with value (4 43)
% 28.83/29.04 ; 536 with value (4 21) 79 with value (4 33) 2 with value (4 44)
% 28.83/29.04 ; 554 with value (4 22) 76 with value (4 34) 2 with value (4 45)
% 28.83/29.04 ; 482 with value (4 23) 58 with value (4 35) 2 with value (4 47)
% 28.83/29.04 ; 299 with value (4 24) 85 with value (4 36) 2 with value (4 48)
% 28.83/29.04 ; 287 with value (4 25)
% 28.83/29.04 Evaluation took:
% 28.83/29.04 28.581 seconds of real time
% 28.83/29.04 28.147545 seconds of user run time
% 28.83/29.04 0.435156 seconds of system run time
% 28.83/29.04 [Run times include 1.006 seconds GC run time.]
% 28.83/29.04 0 calls to %EVAL
% 28.83/29.04 0 page faults and
% 28.83/29.04 1,190,327,880 bytes consed.
% 28.83/29.04 :PROOF-FOUND
% 28.83/29.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T15:05:07
% 28.83/29.04 :PROOF-FOUND
% 28.83/29.04 *
%------------------------------------------------------------------------------