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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT021+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 12:03:58 EDT 2022

% Result   : Theorem 146.03s 146.27s
% Output   : Refutation 146.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   61 (  40 unt;   7 nHn;  47 RR)
%            Number of literals    :  100 (   9 equ;  37 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-2 aty)
%            Number of variables   :   49 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(47,axiom,
    ( ~ accept_population(X,atheist,n12)
    | ~ accept_population(X,christian,n3)
    | ~ accept_population(X,muslim,n0)
    | ~ accept_population(X,native,n85)
    | ~ accept_population(X,other,n0)
    | accept_city(X,coastvillage) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_7) ).

cnf(56,axiom,
    ( accept_population(X,muslim,n0)
    | ~ accept_city(X,sunsetpoint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_8) ).

cnf(57,axiom,
    ( accept_population(X,native,n100)
    | ~ accept_city(X,sunsetpoint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_8) ).

cnf(58,axiom,
    ( accept_population(X,other,n0)
    | ~ accept_city(X,sunsetpoint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_8) ).

cnf(303,axiom,
    accept_number(countryccivilorganization,n3),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_215) ).

cnf(350,axiom,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13) ).

cnf(355,axiom,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_18) ).

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

cnf(546,axiom,
    accept_population(countryamedicalorganization,christian,n20),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_211) ).

cnf(671,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).

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

cnf(680,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).

cnf(688,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn20) ).

cnf(698,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn30) ).

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

cnf(768,axiom,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn100) ).

cnf(924,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).

cnf(925,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

cnf(934,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

cnf(935,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

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

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_city(X,sunsetpoint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_21) ).

cnf(961,plain,
    accept_population(X,muslim,n0),
    inference('REWRITE',[status(thm)],[56,957]) ).

cnf(963,plain,
    ( ~ accept_population(X,atheist,n12)
    | ~ accept_population(X,christian,n3)
    | ~ accept_population(X,native,n85)
    | ~ accept_population(X,other,n0)
    | accept_city(X,coastvillage) ),
    inference('REWRITE',[status(thm)],[47,961]) ).

cnf(965,plain,
    accept_population(X,native,n100),
    inference('REWRITE',[status(thm)],[57,957]) ).

cnf(966,plain,
    accept_population(X,other,n0),
    inference('REWRITE',[status(thm)],[58,957]) ).

cnf(968,plain,
    ( ~ accept_population(X,atheist,n12)
    | ~ accept_population(X,christian,n3)
    | ~ accept_population(X,native,n85)
    | accept_city(X,coastvillage) ),
    inference('REWRITE',[status(thm)],[963,966]) ).

cnf(984,plain,
    rdn_non_zero(rdnn(n2)),
    inference('HYPERRESOLVE',[status(thm)],[946,925]) ).

cnf(987,plain,
    rdn_non_zero(rdnn(n1)),
    inference('HYPERRESOLVE',[status(thm)],[946,924]) ).

cnf(1047,plain,
    ( less(n3,X)
    | n3 = X
    | accept_number(countryccivilorganization,X) ),
    inference('HYPERRESOLVE',[status(thm)],[5,953,303]) ).

cnf(1506,plain,
    ( less(n30,X)
    | n30 = X
    | accept_population(countryamedicalorganization,atheist,X) ),
    inference('HYPERRESOLVE',[status(thm)],[6,355,953]) ).

cnf(1572,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[943,934]) ).

cnf(1576,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n2)),rdn(rdnn(Y),rdnn(n3))),
    inference('HYPERRESOLVE',[status(thm)],[943,935]) ).

cnf(77773,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[945,984]) ).

cnf(77806,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n1))),
    inference('HYPERRESOLVE',[status(thm)],[945,987]) ).

cnf(147904,plain,
    ( n3 = n20
    | accept_number(countryccivilorganization,n20)
    | accept_population(countryamedicalorganization,christian,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[6,1047,546]) ).

cnf(152249,plain,
    less(n6,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,77773,674,688]) ).

cnf(152319,plain,
    less(n3,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,77773,671,688]) ).

cnf(152480,plain,
    ~ accept_number(countryccivilorganization,n20),
    inference('UR-RESOLVE',[status(thm)],[5,152249,399]) ).

cnf(152489,plain,
    ( n3 = n20
    | accept_population(countryamedicalorganization,christian,n3) ),
    inference('REWRITE',[status(thm)],[147904,152480]) ).

cnf(153058,plain,
    n3 != n20,
    inference('UR-RESOLVE',[status(thm)],[952,152319]) ).

cnf(153061,plain,
    accept_population(countryamedicalorganization,christian,n3),
    inference('REWRITE',[status(thm)],[152489,153058]) ).

cnf(156670,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(Y)),rdn(rdnn(Z),rdn(rdnn(U),rdnn(n1)))),
    inference('HYPERRESOLVE',[status(thm)],[943,77806]) ).

cnf(182550,plain,
    less(n12,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,1572,680,688]) ).

cnf(183963,plain,
    ( less(n30,n20)
    | n30 = n20
    | accept_population(countryamedicalorganization,atheist,n12) ),
    inference('HYPERRESOLVE',[status(thm)],[6,182550,1506]) ).

cnf(205158,plain,
    less(n20,n30),
    inference('HYPERRESOLVE',[status(thm)],[948,1576,688,698]) ).

cnf(205420,plain,
    n30 != n20,
    inference('UR-RESOLVE',[status(thm)],[952,205158]) ).

cnf(205445,plain,
    ( less(n30,n20)
    | accept_population(countryamedicalorganization,atheist,n12) ),
    inference('REWRITE',[status(thm)],[183963,205420]) ).

cnf(205523,plain,
    ~ less(n30,n20),
    inference('UR-RESOLVE',[status(thm)],[951,205158]) ).

cnf(205548,plain,
    accept_population(countryamedicalorganization,atheist,n12),
    inference('REWRITE',[status(thm)],[205445,205523]) ).

cnf(209079,plain,
    ~ accept_population(countryamedicalorganization,native,n85),
    inference('UR-RESOLVE',[status(thm)],[968,205548,153061,350]) ).

cnf(209269,plain,
    ~ less(n85,n100),
    inference('UR-RESOLVE',[status(thm)],[6,209079,965]) ).

cnf(209281,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,209269,753,768]),156670]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : AGT021+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n019.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 : Sat Jun  4 05:37:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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 2022-06-04T05:37:55
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-04T05:37:55
% 0.20/0.60  WARNING:
% 0.20/0.60     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.60  WARNING:
% 0.20/0.60     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 146.03/146.27  
% 146.03/146.27  
% 146.03/146.27  #||
% 146.03/146.27  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.03/146.27  % SZS output start Refutation
% See solution above
% 146.03/146.28  ||#
% 146.03/146.28  
% 146.03/146.28  ; Summary of computation:
% 146.03/146.28  ;   4559010 formulas have been input or derived (from 151300 formulas).
% 146.03/146.28  ;    209281 ( 5%) were retained.  Of these,
% 146.03/146.28  ;        17779 ( 8%) were simplified or subsumed later,
% 146.03/146.28  ;       191502 (92%) are still being kept.
% 146.03/146.28  ; 
% 146.03/146.28  ; Run time in seconds excluding printing time:
% 146.03/146.28  ;     0.096   0%   Read assertion file          (1 call)
% 146.03/146.28  ;     0.008   0%   Assert                       (923 calls)
% 146.03/146.28  ;    18.024  12%   Process new row              (4,417,268 calls)
% 146.03/146.28  ;    58.711  40%   Resolution                   (302,598 calls)
% 146.03/146.28  ;     0.677   0%   Paramodulation               (151,299 calls)
% 146.03/146.28  ;     0.001   0%   Factoring                    (308 calls)
% 146.03/146.28  ;     0.225   0%   Condensing                   (58,246 calls)
% 146.03/146.28  ;     3.956   3%   Forward subsumption          (58,246 calls)
% 146.03/146.28  ;     4.955   3%   Backward subsumption         (49,595 calls)
% 146.03/146.28  ;     0.246   0%   Clause clause subsumption    (60,503 calls)
% 146.03/146.28  ;    44.565  31%   Forward simplification       (4,417,266 calls)
% 146.03/146.28  ;     1.428   1%   Backward simplification      (209,281 calls)
% 146.03/146.28  ;     0.365   0%   Ordering                     (253,199 calls)
% 146.03/146.28  ;     0.001   0%   Sortal reasoning             (32 calls)
% 146.03/146.28  ;     0.001   0%   Purity testing               (1 call)
% 146.03/146.28  ;    12.524   9%   Other
% 146.03/146.28  ;   145.783        Total
% 146.03/146.28  ;   145.793        Real time
% 146.03/146.28  ; 
% 146.03/146.28  ; Term-hash-array has 163,841 terms in all.
% 146.03/146.28  ; Feature-vector-row-index has 37,776 entries (38,717 at peak, 49,595 added, 11,819 deleted).
% 146.03/146.28  ; Feature-vector-row-index has 12,599 nodes (13,482 at peak, 23,979 added, 11,380 deleted).
% 146.03/146.28  ;  Retrieved 5,512,246 possibly forward subsuming rows in 58,246 calls.
% 146.03/146.28  ;  Retrieved 1,202,136 possibly backward subsumed rows in 49,595 calls.
% 146.03/146.28  ; Path-index has 158,050 entries (158,050 at peak, 164,687 added, 6,637 deleted).
% 146.03/146.28  ; Path-index has 3,167 nodes (3,167 at peak, 3,171 added, 4 deleted).
% 146.03/146.28  ; Trie-index has 158,050 entries (158,050 at peak, 164,687 added, 6,637 deleted).
% 146.03/146.28  ; Trie-index has 166,984 nodes (166,984 at peak, 173,646 added, 6,662 deleted).
% 146.03/146.28  ; Retrieved 9,205,825 generalization terms in 11,356,083 calls.
% 146.03/146.28  ; Retrieved 165,651 instance terms in 159,685 calls.
% 146.03/146.28  ; Retrieved 22,331,331 unifiable terms in 2,499,179 calls.
% 146.03/146.28  ; 
% 146.03/146.28  ; The agenda of rows to give has 40243 entries:
% 146.03/146.28  ;    10 with value (4 10)       1667 with value (4 17)         388 with value (4 23)
% 146.03/146.28  ;     1 with value (4 12)       1098 with value (4 18)         823 with value (4 24)
% 146.03/146.28  ;    40 with value (4 14)         11 with value (4 19)         147 with value (4 25)
% 146.03/146.28  ;  1821 with value (4 15)          9 with value (4 21)           9 with value (4 26)
% 146.03/146.28  ; 34216 with value (4 16)          3 with value (4 22)
% 146.03/146.28  Evaluation took:
% 146.03/146.28    145.795 seconds of real time
% 146.03/146.28    130.76396 seconds of user run time
% 146.03/146.28    15.024471 seconds of system run time
% 146.03/146.28    [Run times include 20.29 seconds GC run time.]
% 146.03/146.28    0 calls to %EVAL
% 146.03/146.28    0 page faults and
% 146.03/146.28    9,810,757,128 bytes consed.
% 146.03/146.28  :PROOF-FOUND
% 146.03/146.28  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T05:40:21
% 146.03/146.28  :PROOF-FOUND
% 146.03/146.28  * 
%------------------------------------------------------------------------------