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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE011+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 4.77s 5.00s
% Output   : Refutation 4.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   70 (  53 unt;   0 nHn;  59 RR)
%            Number of literals    :   92 (  47 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   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   :   37 (   2 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(6,axiom,
    multiplication(one,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

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('SKOLEMAAAR1'(X),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).

cnf(14,axiom,
    ( test(X)
    | ~ complement(Y,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,axiom,
    ( ~ test(X)
    | ~ test(Y)
    | c(addition(X,Y)) = multiplication(c(X),c(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).

cnf(24,negated_conjecture,
    test('SKOLEMAAAR3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(25,negated_conjecture,
    test('SKOLEMAAAR2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(26,negated_conjecture,
    ( ~ leq(one,addition(multiplication(addition('SKOLEMAAAR3',c('SKOLEMAAAR3')),'SKOLEMAAAR2'),addition(multiplication(addition('SKOLEMAAAR2',c('SKOLEMAAAR2')),'SKOLEMAAAR3'),multiplication(c('SKOLEMAAAR2'),c('SKOLEMAAAR3')))))
    | ~ leq(addition(multiplication(addition('SKOLEMAAAR3',c('SKOLEMAAAR3')),'SKOLEMAAAR2'),addition(multiplication(addition('SKOLEMAAAR2',c('SKOLEMAAAR2')),'SKOLEMAAAR3'),multiplication(c('SKOLEMAAAR2'),c('SKOLEMAAAR3')))),one) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(27,plain,
    ( ~ leq(one,addition(multiplication('SKOLEMAAAR3','SKOLEMAAAR2'),addition(multiplication(c('SKOLEMAAAR3'),'SKOLEMAAAR2'),addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),multiplication(c('SKOLEMAAAR2'),c('SKOLEMAAAR3')))))))
    | ~ leq(addition(multiplication('SKOLEMAAAR3','SKOLEMAAAR2'),addition(multiplication(c('SKOLEMAAAR3'),'SKOLEMAAAR2'),addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),multiplication(c('SKOLEMAAAR2'),c('SKOLEMAAAR3')))))),one) ),
    inference('REWRITE',[status(thm)],[26,8,theory(equality)]) ).

cnf(28,plain,
    complement('SKOLEMAAAR1'('SKOLEMAAAR3'),'SKOLEMAAAR3'),
    inference('HYPERRESOLVE',[status(thm)],[13,24]) ).

cnf(29,plain,
    complement('SKOLEMAAAR1'('SKOLEMAAAR2'),'SKOLEMAAAR2'),
    inference('HYPERRESOLVE',[status(thm)],[13,25]) ).

cnf(32,plain,
    leq(X,X),
    inference('HYPERRESOLVE',[status(thm)],[12,2]) ).

cnf(33,plain,
    leq(X,addition(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[12,3]) ).

cnf(37,plain,
    complement('SKOLEMAAAR3',c('SKOLEMAAAR3')),
    inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).

cnf(38,plain,
    complement('SKOLEMAAAR2',c('SKOLEMAAAR2')),
    inference('HYPERRESOLVE',[status(thm)],[19,25,theory(equality)]) ).

cnf(52,plain,
    c(addition('SKOLEMAAAR3','SKOLEMAAAR2')) = multiplication(c('SKOLEMAAAR3'),c('SKOLEMAAAR2')),
    inference('HYPERRESOLVE',[status(thm)],[22,24,25]) ).

cnf(53,plain,
    c(addition('SKOLEMAAAR3','SKOLEMAAAR2')) = multiplication(c('SKOLEMAAAR2'),c('SKOLEMAAAR3')),
    inference('HYPERRESOLVE',[status(thm)],[22,25,24]) ).

cnf(54,plain,
    ( ~ leq(one,addition(multiplication('SKOLEMAAAR3','SKOLEMAAAR2'),addition(multiplication(c('SKOLEMAAAR3'),'SKOLEMAAAR2'),addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),c(addition('SKOLEMAAAR3','SKOLEMAAAR2')))))))
    | ~ leq(addition(multiplication('SKOLEMAAAR3','SKOLEMAAAR2'),addition(multiplication(c('SKOLEMAAAR3'),'SKOLEMAAAR2'),addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),c(addition('SKOLEMAAAR3','SKOLEMAAAR2')))))),one) ),
    inference('REWRITE',[status(thm)],[27,53,theory(equality)]) ).

cnf(107,plain,
    addition('SKOLEMAAAR1'('SKOLEMAAAR3'),'SKOLEMAAAR3') = one,
    inference('HYPERRESOLVE',[status(thm)],[17,28]) ).

cnf(109,plain,
    multiplication('SKOLEMAAAR1'('SKOLEMAAAR3'),'SKOLEMAAAR3') = zero,
    inference('HYPERRESOLVE',[status(thm)],[16,28]) ).

cnf(110,plain,
    multiplication('SKOLEMAAAR3','SKOLEMAAAR1'('SKOLEMAAAR3')) = zero,
    inference('HYPERRESOLVE',[status(thm)],[15,28]) ).

cnf(112,plain,
    addition('SKOLEMAAAR1'('SKOLEMAAAR2'),'SKOLEMAAAR2') = one,
    inference('HYPERRESOLVE',[status(thm)],[17,29]) ).

cnf(114,plain,
    multiplication('SKOLEMAAAR1'('SKOLEMAAAR2'),'SKOLEMAAAR2') = zero,
    inference('HYPERRESOLVE',[status(thm)],[16,29]) ).

cnf(115,plain,
    multiplication('SKOLEMAAAR2','SKOLEMAAAR1'('SKOLEMAAAR2')) = zero,
    inference('HYPERRESOLVE',[status(thm)],[15,29]) ).

cnf(117,plain,
    test(c('SKOLEMAAAR3')),
    inference('HYPERRESOLVE',[status(thm)],[14,37]) ).

cnf(122,plain,
    test(c('SKOLEMAAAR2')),
    inference('HYPERRESOLVE',[status(thm)],[14,38]) ).

cnf(123,plain,
    addition('SKOLEMAAAR2',c('SKOLEMAAAR2')) = one,
    inference('HYPERRESOLVE',[status(thm)],[17,38]) ).

cnf(135,plain,
    c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')) = multiplication(c(c('SKOLEMAAAR3')),c('SKOLEMAAAR2')),
    inference('HYPERRESOLVE',[status(thm)],[22,117,25]) ).

cnf(138,plain,
    c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')) = multiplication(c('SKOLEMAAAR2'),c(c('SKOLEMAAAR3'))),
    inference('HYPERRESOLVE',[status(thm)],[22,117,25]) ).

cnf(158,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication(c(c('SKOLEMAAAR2')),c(c('SKOLEMAAAR3'))),
    inference('HYPERRESOLVE',[status(thm)],[22,122,117]) ).

cnf(160,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication(c(c('SKOLEMAAAR3')),c(c('SKOLEMAAAR2'))),
    inference('HYPERRESOLVE',[status(thm)],[22,122,117]) ).

cnf(175,plain,
    leq('SKOLEMAAAR3',one),
    inference('PARAMODULATE',[status(thm)],[33,107,theory(equality)]) ).

cnf(179,plain,
    X = addition(multiplication('SKOLEMAAAR1'('SKOLEMAAAR3'),X),multiplication('SKOLEMAAAR3',X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,107,theory(equality)]),6,theory(equality)]) ).

cnf(183,plain,
    complement('SKOLEMAAAR3','SKOLEMAAAR1'('SKOLEMAAAR3')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,107,theory(equality)]),110,109,theory(equality)]) ).

cnf(184,plain,
    addition(one,'SKOLEMAAAR3') = one,
    inference('HYPERRESOLVE',[status(thm)],[11,175]) ).

cnf(189,plain,
    c('SKOLEMAAAR3') = 'SKOLEMAAAR1'('SKOLEMAAAR3'),
    inference('HYPERRESOLVE',[status(thm)],[20,183,24]) ).

cnf(190,plain,
    complement(c('SKOLEMAAAR3'),'SKOLEMAAAR3'),
    inference('REWRITE',[status(thm)],[28,189,theory(equality)]) ).

cnf(195,plain,
    X = addition(multiplication(c('SKOLEMAAAR3'),X),multiplication('SKOLEMAAAR3',X)),
    inference('REWRITE',[status(thm)],[179,189,theory(equality)]) ).

cnf(197,plain,
    ( ~ leq(one,addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))))
    | ~ leq(addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))),one) ),
    inference('REWRITE',[status(thm)],[54,195,theory(equality)]) ).

cnf(200,plain,
    c(c('SKOLEMAAAR3')) = 'SKOLEMAAAR3',
    inference('HYPERRESOLVE',[status(thm)],[20,190,117]) ).

cnf(202,plain,
    c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')) = multiplication('SKOLEMAAAR3',c('SKOLEMAAAR2')),
    inference('REWRITE',[status(thm)],[135,200,theory(equality)]) ).

cnf(207,plain,
    c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')) = multiplication(c('SKOLEMAAAR2'),'SKOLEMAAAR3'),
    inference('REWRITE',[status(thm)],[138,200,theory(equality)]) ).

cnf(208,plain,
    ( ~ leq(one,addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))))
    | ~ leq(addition(multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),addition(c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))),one) ),
    inference('REWRITE',[status(thm)],[197,207,theory(equality)]) ).

cnf(217,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication(c(c('SKOLEMAAAR2')),'SKOLEMAAAR3'),
    inference('REWRITE',[status(thm)],[158,200,theory(equality)]) ).

cnf(218,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication('SKOLEMAAAR3',c(c('SKOLEMAAAR2'))),
    inference('REWRITE',[status(thm)],[160,200,theory(equality)]) ).

cnf(222,plain,
    leq('SKOLEMAAAR2',one),
    inference('PARAMODULATE',[status(thm)],[33,112,theory(equality)]) ).

cnf(230,plain,
    complement('SKOLEMAAAR2','SKOLEMAAAR1'('SKOLEMAAAR2')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,112,theory(equality)]),115,114,theory(equality)]) ).

cnf(231,plain,
    addition(one,'SKOLEMAAAR2') = one,
    inference('HYPERRESOLVE',[status(thm)],[11,222]) ).

cnf(232,plain,
    addition('SKOLEMAAAR2',addition(one,X)) = addition(one,X),
    inference('EMBED',[status(thm)],[231]) ).

cnf(236,plain,
    c('SKOLEMAAAR2') = 'SKOLEMAAAR1'('SKOLEMAAAR2'),
    inference('HYPERRESOLVE',[status(thm)],[20,230,25]) ).

cnf(237,plain,
    complement(c('SKOLEMAAAR2'),'SKOLEMAAAR2'),
    inference('REWRITE',[status(thm)],[29,236,theory(equality)]) ).

cnf(246,plain,
    c(c('SKOLEMAAAR2')) = 'SKOLEMAAAR2',
    inference('HYPERRESOLVE',[status(thm)],[20,237,122]) ).

cnf(258,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication('SKOLEMAAAR2','SKOLEMAAAR3'),
    inference('REWRITE',[status(thm)],[217,246,theory(equality)]) ).

cnf(260,plain,
    ( ~ leq(one,addition(c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))),addition(c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))))
    | ~ leq(addition(c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))),addition(c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2')),addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),'SKOLEMAAAR2'))),one) ),
    inference('REWRITE',[status(thm)],[208,258,theory(equality)]) ).

cnf(261,plain,
    c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2'))) = multiplication('SKOLEMAAAR3','SKOLEMAAAR2'),
    inference('REWRITE',[status(thm)],[218,246,theory(equality)]) ).

cnf(312,plain,
    X = addition(X,multiplication('SKOLEMAAAR3',X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,184,theory(equality)]),6,theory(equality)]) ).

cnf(313,plain,
    addition(X,addition(multiplication('SKOLEMAAAR3',X),Y)) = addition(X,Y),
    inference('EMBED',[status(thm)],[312]) ).

cnf(502,plain,
    one = addition(one,c(addition(c('SKOLEMAAAR3'),c('SKOLEMAAAR2')))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[232,313,theory(equality)]),261,231,theory(equality)]) ).

cnf(1401,plain,
    c('SKOLEMAAAR2') = addition(c(addition('SKOLEMAAAR3','SKOLEMAAAR2')),c(addition(c('SKOLEMAAAR3'),'SKOLEMAAAR2'))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[195,52,theory(equality)]),202,theory(equality)]) ).

cnf(1403,plain,
    $false,
    inference('REWRITE',[status(thm)],[260,32,502,123,1401,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : KLE011+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.09  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n029.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Thu Jun 16 11:04:27 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.38  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.39  #<PACKAGE "SNARK-USER">
% 0.13/0.39  * 
% 0.13/0.39  SNARK-TPTP-OPTIONS
% 0.13/0.39  * 
% 0.13/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39   (USE-FACTORING :POS)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39  * 
% 0.13/0.39  "."
% 0.13/0.39  * 
% 0.13/0.39  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T11:04:27
% 0.13/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-16T11:04:27
% 0.13/0.40  
% 0.13/0.40  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.13/0.40  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.13/0.40  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.13/0.40  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.13/0.40  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.13/0.40  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.13/0.40  ; Declaring addition to be commutative.
% 4.77/5.00  ; Declaring addition to be associative-commutative.
% 4.77/5.00  
% 4.77/5.00  #||
% 4.77/5.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.77/5.00  % SZS output start Refutation
% See solution above
% 4.77/5.01  ||#
% 4.77/5.01  
% 4.77/5.01  ; Summary of computation:
% 4.77/5.01  ;     10734 formulas have been input or derived (from 201 formulas).
% 4.77/5.01  ;      1403 (13%) were retained.  Of these,
% 4.77/5.01  ;          151 (11%) were simplified or subsumed later,
% 4.77/5.01  ;         1252 (89%) are still being kept.
% 4.77/5.01  ; 
% 4.77/5.01  ; Run time in seconds excluding printing time:
% 4.77/5.01  ;     0.005   0%   Read assertion file          (1 call)
% 4.77/5.01  ;     0.001   0%   Assert                       (19 calls)
% 4.77/5.01  ;     0.225   5%   Process new row              (10,369 calls)
% 4.77/5.01  ;     0.071   2%   Resolution                   (400 calls)
% 4.77/5.01  ;     0.226   5%   Paramodulation               (200 calls)
% 4.77/5.01  ;     0.001   0%   Factoring                    (4 calls)
% 4.77/5.01  ;     0.001   0%   Embedding                    (118 calls)
% 4.77/5.01  ;     0.083   2%   Condensing                   (997 calls)
% 4.77/5.01  ;     0.083   2%   Forward subsumption          (997 calls)
% 4.77/5.01  ;     0.026   1%   Backward subsumption         (417 calls)
% 4.77/5.01  ;     0.037   1%   Clause clause subsumption    (3,048 calls)
% 4.77/5.01  ;     3.663  80%   Forward simplification       (10,226 calls)
% 4.77/5.01  ;     0.038   1%   Backward simplification      (1,299 calls)
% 4.77/5.01  ;     0.036   1%   Ordering                     (6,312 calls)
% 4.77/5.01  ;     0.016   0%   Ordering ac                  (891 calls)
% 4.77/5.01  ;     0.001   0%   Sortal reasoning             (32 calls)
% 4.77/5.01  ;     0.000   0%   Purity testing               (1 call)
% 4.77/5.01  ;     0.086   2%   Other
% 4.77/5.01  ;     4.599        Total
% 4.77/5.01  ;     4.625        Real time
% 4.77/5.01  ; 
% 4.77/5.01  ; Term-hash-array has 2,903 terms in all.
% 4.77/5.01  ; Feature-vector-row-index has 382 entries (384 at peak, 417 added, 35 deleted).
% 4.77/5.01  ; Feature-vector-row-index has 1,740 nodes (1,771 at peak, 2,045 added, 305 deleted).
% 4.77/5.01  ;  Retrieved 3,955 possibly forward subsuming rows in 997 calls.
% 4.77/5.01  ;  Retrieved 518 possibly backward subsumed rows in 417 calls.
% 4.77/5.01  ; Path-index has 2,628 entries (2,630 at peak, 2,940 added, 312 deleted).
% 4.77/5.01  ; Path-index has 795 nodes (799 at peak, 1,025 added, 230 deleted).
% 4.77/5.01  ; Trie-index has 2,628 entries (2,630 at peak, 2,940 added, 312 deleted).
% 4.77/5.01  ; Trie-index has 1,411 nodes (1,417 at peak, 1,827 added, 416 deleted).
% 4.77/5.01  ; Retrieved 1,871,368 generalization terms in 66,696 calls.
% 4.77/5.01  ; Retrieved 2,950 instance terms in 899 calls.
% 4.77/5.01  ; Retrieved 41,146 unifiable terms in 2,320 calls.
% 4.77/5.01  ; 
% 4.77/5.01  ; The agenda of rows to process has 20 entries:
% 4.77/5.01  ;     2 with value 22              3 with value 25               1 with value 30
% 4.77/5.01  ;     2 with value 23              2 with value 26               2 with value 47
% 4.77/5.01  ;     7 with value 24              1 with value 27
% 4.77/5.01  ; The agenda of rows to give has 1075 entries:
% 4.77/5.01  ;    39 with value (4 17)         36 with value (4 32)           8 with value (4 56)
% 4.77/5.01  ;    40 with value (4 18)         22 with value (4 33)           8 with value (4 58)
% 4.77/5.01  ;    90 with value (4 19)         36 with value (4 34)           5 with value (4 59)
% 4.77/5.01  ;   108 with value (4 20)          8 with value (4 35)           1 with value (4 61)
% 4.77/5.01  ;    76 with value (4 21)         20 with value (4 36)           4 with value (4 62)
% 4.77/5.01  ;    33 with value (4 22)         12 with value (4 37)           8 with value (4 63)
% 4.77/5.01  ;    71 with value (4 23)          5 with value (4 38)           8 with value (4 65)
% 4.77/5.01  ;    64 with value (4 24)         16 with value (4 39)           8 with value (4 70)
% 4.77/5.01  ;    87 with value (4 25)          2 with value (4 41)           8 with value (4 77)
% 4.77/5.01  ;    50 with value (4 26)          8 with value (4 42)           2 with value (4 79)
% 4.77/5.01  ;    54 with value (4 27)          4 with value (4 45)           8 with value (4 84)
% 4.77/5.01  ;    31 with value (4 28)          2 with value (4 51)           8 with value (4 97)
% 4.77/5.01  ;    24 with value (4 29)          8 with value (4 53)           8 with value (4 104)
% 4.77/5.01  ;    24 with value (4 30)          4 with value (4 55)           1 with value (4 107)
% 4.77/5.01  ;    16 with value (4 31)
% 4.77/5.01  Evaluation took:
% 4.77/5.01    4.626 seconds of real time
% 4.77/5.01    4.508808 seconds of user run time
% 4.77/5.01    0.109006 seconds of system run time
% 4.77/5.01    [Run times include 0.184 seconds GC run time.]
% 4.77/5.01    0 calls to %EVAL
% 4.77/5.01    0 page faults and
% 4.77/5.01    256,860,304 bytes consed.
% 4.77/5.02  :PROOF-FOUND
% 4.77/5.02  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T11:04:32
% 4.77/5.02  :PROOF-FOUND
% 4.77/5.02  * 
%------------------------------------------------------------------------------