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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT006+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 : Thu Jul 14 12:03:54 EDT 2022

% Result   : Theorem 66.65s 66.89s
% Output   : Refutation 66.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   52 (  39 unt;   4 nHn;  45 RR)
%            Number of literals    :   78 (   6 equ;  27 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-4 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-2 aty)
%            Number of variables   :   35 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( accept_team(X,Y,Z,U)
    | ~ accept_city(X,Z)
    | ~ accept_leader(X,Y)
    | ~ accept_number(X,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).

cnf(5,axiom,
    ( ~ accept_number(X,Y)
    | ~ less(Z,Y)
    | accept_number(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).

cnf(6,axiom,
    ( ~ accept_population(X,Y,Z)
    | ~ less(U,Z)
    | accept_population(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_3) ).

cnf(11,axiom,
    ( ~ accept_population(X,atheist,n65)
    | ~ accept_population(X,christian,n20)
    | ~ accept_population(X,muslim,n7)
    | ~ accept_population(X,native,n4)
    | ~ accept_population(X,other,n4)
    | accept_city(X,suffertown) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_1) ).

cnf(323,axiom,
    accept_number(countryccivilorganization,n4),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_235) ).

cnf(375,axiom,
    accept_population(countrybcivilorganization,native,n85),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_38) ).

cnf(381,axiom,
    accept_population(countrybcivilorganization,other,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_44) ).

cnf(382,axiom,
    accept_population(countrybcivilorganization,muslim,n65),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_45) ).

cnf(388,axiom,
    accept_population(countrybcivilorganization,christian,n20),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_51) ).

cnf(389,axiom,
    accept_population(countrybcivilorganization,atheist,n78),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_52) ).

cnf(399,axiom,
    ~ accept_number(countryccivilorganization,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_62) ).

cnf(621,axiom,
    accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_292) ).

cnf(647,axiom,
    accept_number(countrybcivilorganization,n4),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_327) ).

cnf(672,axiom,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn4) ).

cnf(673,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).

cnf(674,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).

cnf(675,axiom,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn7) ).

cnf(733,axiom,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn65) ).

cnf(746,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn78) ).

cnf(753,axiom,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn85) ).

cnf(929,axiom,
    rdn_non_zero_digit(rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).

cnf(931,axiom,
    rdn_non_zero_digit(rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit8) ).

cnf(937,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

cnf(939,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).

cnf(943,axiom,
    ( ~ rdn_positive_less(X,Y)
    | rdn_positive_less(rdn(rdnn(Z),X),rdn(rdnn(U),Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

cnf(945,axiom,
    ( ~ rdn_non_zero(X)
    | rdn_positive_less(rdnn(Y),rdn(rdnn(Z),X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).

cnf(946,axiom,
    ( ~ rdn_non_zero_digit(rdnn(X))
    | rdn_non_zero(rdnn(X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

cnf(948,axiom,
    ( ~ rdn_translate(X,rdn_pos(Y))
    | ~ rdn_translate(Z,rdn_pos(U))
    | ~ rdn_positive_less(Y,U)
    | less(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

cnf(952,axiom,
    ( ~ less(X,Y)
    | Y != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).

cnf(953,axiom,
    ( less(X,Y)
    | less(Y,X)
    | Y = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).

cnf(957,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_6) ).

cnf(970,plain,
    rdn_non_zero(rdnn(n6)),
    inference('HYPERRESOLVE',[status(thm)],[946,929]) ).

cnf(973,plain,
    rdn_non_zero(rdnn(n8)),
    inference('HYPERRESOLVE',[status(thm)],[946,931]) ).

cnf(1047,plain,
    ( less(n4,X)
    | n4 = X
    | accept_number(countryccivilorganization,X) ),
    inference('HYPERRESOLVE',[status(thm)],[5,953,323]) ).

cnf(1514,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n6)),rdn(rdnn(Y),rdnn(n7))),
    inference('HYPERRESOLVE',[status(thm)],[943,939]) ).

cnf(17899,plain,
    ~ accept_city(countrybcivilorganization,suffertown),
    inference('UR-RESOLVE',[status(thm)],[4,957,621,647]) ).

cnf(19434,plain,
    less(n4,n5),
    inference('HYPERRESOLVE',[status(thm)],[948,672,673,937]) ).

cnf(78337,plain,
    accept_population(countrybcivilorganization,other,n4),
    inference('HYPERRESOLVE',[status(thm)],[6,19434,381]) ).

cnf(78374,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n6))),
    inference('HYPERRESOLVE',[status(thm)],[945,970]) ).

cnf(78407,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n8))),
    inference('HYPERRESOLVE',[status(thm)],[945,973]) ).

cnf(146042,plain,
    ( n4 = n85
    | accept_number(countryccivilorganization,n85)
    | accept_population(countrybcivilorganization,native,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[6,1047,375]) ).

cnf(146951,plain,
    less(n7,n65),
    inference('HYPERRESOLVE',[status(thm)],[948,78374,675,733]) ).

cnf(147738,plain,
    accept_population(countrybcivilorganization,muslim,n7),
    inference('HYPERRESOLVE',[status(thm)],[6,146951,382]) ).

cnf(151108,plain,
    less(n6,n85),
    inference('HYPERRESOLVE',[status(thm)],[948,78407,674,753]) ).

cnf(151188,plain,
    less(n4,n85),
    inference('HYPERRESOLVE',[status(thm)],[948,78407,672,753]) ).

cnf(151354,plain,
    ~ accept_number(countryccivilorganization,n85),
    inference('UR-RESOLVE',[status(thm)],[5,151108,399]) ).

cnf(151384,plain,
    ( n4 = n85
    | accept_population(countrybcivilorganization,native,n4) ),
    inference('REWRITE',[status(thm)],[146042,151354]) ).

cnf(151896,plain,
    n4 != n85,
    inference('UR-RESOLVE',[status(thm)],[952,151188]) ).

cnf(151899,plain,
    accept_population(countrybcivilorganization,native,n4),
    inference('REWRITE',[status(thm)],[151384,151896]) ).

cnf(152257,plain,
    ~ accept_population(countrybcivilorganization,atheist,n65),
    inference('UR-RESOLVE',[status(thm)],[11,151899,388,147738,78337,17899]) ).

cnf(152612,plain,
    ~ less(n65,n78),
    inference('UR-RESOLVE',[status(thm)],[6,152257,389]) ).

cnf(152619,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,152612,733,746]),1514]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : AGT006+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 07:17:46 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:17:46
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-04T07:17:46
% 0.43/0.59  WARNING:
% 0.43/0.59     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.59  WARNING:
% 0.43/0.59     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 66.65/66.89  
% 66.65/66.89  
% 66.65/66.89  #||
% 66.65/66.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.65/66.89  % SZS output start Refutation
% See solution above
% 66.65/66.89  ||#
% 66.65/66.89  
% 66.65/66.89  ; Summary of computation:
% 66.65/66.89  ;   1691805 formulas have been input or derived (from 135292 formulas).
% 66.65/66.89  ;    152619 ( 9%) were retained.  Of these,
% 66.65/66.89  ;         3111 ( 2%) were simplified or subsumed later,
% 66.65/66.89  ;       149508 (98%) are still being kept.
% 66.65/66.89  ; 
% 66.65/66.89  ; Run time in seconds excluding printing time:
% 66.65/66.89  ;     0.096   0%   Read assertion file          (1 call)
% 66.65/66.89  ;     0.008   0%   Assert                       (923 calls)
% 66.65/66.89  ;     9.099  14%   Process new row              (1,567,463 calls)
% 66.65/66.89  ;    36.745  55%   Resolution                   (270,582 calls)
% 66.65/66.89  ;     0.576   1%   Paramodulation               (135,291 calls)
% 66.65/66.89  ;     0.002   0%   Factoring                    (73 calls)
% 66.65/66.89  ;     0.160   0%   Condensing                   (26,022 calls)
% 66.65/66.89  ;     0.526   1%   Forward subsumption          (26,022 calls)
% 66.65/66.89  ;     0.551   1%   Backward subsumption         (15,962 calls)
% 66.65/66.89  ;     0.040   0%   Clause clause subsumption    (16,026 calls)
% 66.65/66.89  ;    12.933  19%   Forward simplification       (1,567,461 calls)
% 66.65/66.89  ;     0.590   1%   Backward simplification      (152,619 calls)
% 66.65/66.89  ;     0.252   0%   Ordering                     (188,250 calls)
% 66.65/66.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 66.65/66.89  ;     0.001   0%   Purity testing               (1 call)
% 66.65/66.89  ;     4.819   7%   Other
% 66.65/66.89  ;    66.398        Total
% 66.65/66.89  ;    66.417        Real time
% 66.65/66.89  ; 
% 66.65/66.89  ; Term-hash-array has 137,866 terms in all.
% 66.65/66.89  ; Feature-vector-row-index has 12,892 entries (14,871 at peak, 15,962 added, 3,070 deleted).
% 66.65/66.89  ; Feature-vector-row-index has 3,630 nodes (6,017 at peak, 7,192 added, 3,562 deleted).
% 66.65/66.89  ;  Retrieved 268,874 possibly forward subsuming rows in 26,022 calls.
% 66.65/66.89  ;  Retrieved 139,748 possibly backward subsumed rows in 15,962 calls.
% 66.65/66.89  ; Path-index has 138,067 entries (138,067 at peak, 138,409 added, 342 deleted).
% 66.65/66.89  ; Path-index has 3,009 nodes (3,009 at peak, 3,010 added, 1 deleted).
% 66.65/66.89  ; Trie-index has 138,067 entries (138,067 at peak, 138,409 added, 342 deleted).
% 66.65/66.89  ; Trie-index has 145,898 nodes (145,898 at peak, 146,266 added, 368 deleted).
% 66.65/66.89  ; Retrieved 2,547,936 generalization terms in 3,077,651 calls.
% 66.65/66.89  ; Retrieved 136,703 instance terms in 136,656 calls.
% 66.65/66.89  ; Retrieved 17,667,458 unifiable terms in 1,993,431 calls.
% 66.65/66.89  ; 
% 66.65/66.89  ; The agenda of rows to give has 14258 entries:
% 66.65/66.89  ;     1 with value (4 10)       8453 with value (4 16)          29 with value (4 23)
% 66.65/66.90  ;    30 with value (4 11)        162 with value (4 17)         270 with value (4 24)
% 66.65/66.90  ;    33 with value (4 13)        310 with value (4 18)         126 with value (4 25)
% 66.65/66.90  ;   243 with value (4 14)         10 with value (4 19)           9 with value (4 26)
% 66.65/66.90  ;  4576 with value (4 15)          6 with value (4 21)
% 66.65/66.90  Evaluation took:
% 66.65/66.90    66.418 seconds of real time
% 66.65/66.90    60.290512 seconds of user run time
% 66.65/66.90    6.111223 seconds of system run time
% 66.65/66.90    [Run times include 8.073 seconds GC run time.]
% 66.65/66.90    0 calls to %EVAL
% 66.65/66.90    0 page faults and
% 66.65/66.90    3,305,129,992 bytes consed.
% 66.65/66.90  :PROOF-FOUND
% 66.65/66.90  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:18:53
% 66.65/66.90  :PROOF-FOUND
% 66.65/66.90  * 
%------------------------------------------------------------------------------