TSTP Solution File: AGT008+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT008+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : Thu Jul 14 12:03:55 EDT 2022

% Result   : Theorem 192.23s 192.48s
% Output   : Refutation 192.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   60 (  41 unt;   7 nHn;  50 RR)
%            Number of literals    :   92 (   9 equ;  30 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   25 (  25 usr;  22 con; 0-2 aty)
%            Number of variables   :   46 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ accept_team(X,Y,Z,U)
    | accept_city(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).

cnf(5,axiom,
    ( ~ accept_number(X,Y)
    | ~ less(Z,Y)
    | accept_number(X,Z) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).

cnf(56,axiom,
    ( accept_population(X,muslim,n0)
    | ~ accept_city(X,sunsetpoint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_8) ).

cnf(57,axiom,
    ( accept_population(X,native,n100)
    | ~ accept_city(X,sunsetpoint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_8) ).

cnf(303,axiom,
    accept_number(countryccivilorganization,n3),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_215) ).

cnf(350,axiom,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_13) ).

cnf(355,axiom,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_18) ).

cnf(399,axiom,
    ~ accept_number(countryccivilorganization,n6),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_62) ).

cnf(546,axiom,
    accept_population(countryamedicalorganization,christian,n20),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_211) ).

cnf(555,axiom,
    accept_population(countryamedicalorganization,other,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_220) ).

cnf(671,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).

cnf(674,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn6) ).

cnf(680,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn12) ).

cnf(688,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn20) ).

cnf(698,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn30) ).

cnf(753,axiom,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn100) ).

cnf(924,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).

cnf(925,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

cnf(934,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

cnf(935,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

cnf(951,axiom,
    ( ~ less(X,Y)
    | ~ less(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).

cnf(952,axiom,
    ( ~ less(X,Y)
    | Y != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).

cnf(953,axiom,
    ( less(X,Y)
    | less(Y,X)
    | Y = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).

cnf(957,negated_conjecture,
    accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_8) ).

cnf(964,plain,
    accept_city(countryamedicalorganization,sunsetpoint),
    inference('HYPERRESOLVE',[status(thm)],[1,957]) ).

cnf(974,plain,
    rdn_non_zero(rdnn(n2)),
    inference('HYPERRESOLVE',[status(thm)],[946,925]) ).

cnf(977,plain,
    rdn_non_zero(rdnn(n1)),
    inference('HYPERRESOLVE',[status(thm)],[946,924]) ).

cnf(1037,plain,
    ( less(n3,X)
    | n3 = X
    | accept_number(countryccivilorganization,X) ),
    inference('HYPERRESOLVE',[status(thm)],[5,953,303]) ).

cnf(1444,plain,
    ( less(n30,X)
    | n30 = X
    | accept_population(countryamedicalorganization,atheist,X) ),
    inference('HYPERRESOLVE',[status(thm)],[6,355,953]) ).

cnf(1510,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[943,934]) ).

cnf(1514,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n2)),rdn(rdnn(Y),rdnn(n3))),
    inference('HYPERRESOLVE',[status(thm)],[943,935]) ).

cnf(19873,plain,
    accept_population(countryamedicalorganization,native,n100),
    inference('HYPERRESOLVE',[status(thm)],[57,964]) ).

cnf(19874,plain,
    accept_population(countryamedicalorganization,muslim,n0),
    inference('HYPERRESOLVE',[status(thm)],[56,964]) ).

cnf(78459,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[945,974]) ).

cnf(78492,plain,
    rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n1))),
    inference('HYPERRESOLVE',[status(thm)],[945,977]) ).

cnf(146477,plain,
    ( n3 = n20
    | accept_number(countryccivilorganization,n20)
    | accept_population(countryamedicalorganization,christian,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[6,1037,546]) ).

cnf(150823,plain,
    less(n6,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,78459,674,688]) ).

cnf(150893,plain,
    less(n3,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,78459,671,688]) ).

cnf(151054,plain,
    ~ accept_number(countryccivilorganization,n20),
    inference('UR-RESOLVE',[status(thm)],[5,150823,399]) ).

cnf(151063,plain,
    ( n3 = n20
    | accept_population(countryamedicalorganization,christian,n3) ),
    inference('REWRITE',[status(thm)],[146477,151054]) ).

cnf(151632,plain,
    n3 != n20,
    inference('UR-RESOLVE',[status(thm)],[952,150893]) ).

cnf(151635,plain,
    accept_population(countryamedicalorganization,christian,n3),
    inference('REWRITE',[status(thm)],[151063,151632]) ).

cnf(155244,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(Y)),rdn(rdnn(Z),rdn(rdnn(U),rdnn(n1)))),
    inference('HYPERRESOLVE',[status(thm)],[943,78492]) ).

cnf(179343,plain,
    less(n12,n20),
    inference('HYPERRESOLVE',[status(thm)],[948,1510,680,688]) ).

cnf(180736,plain,
    ( less(n30,n20)
    | n30 = n20
    | accept_population(countryamedicalorganization,atheist,n12) ),
    inference('HYPERRESOLVE',[status(thm)],[6,179343,1444]) ).

cnf(201417,plain,
    less(n20,n30),
    inference('HYPERRESOLVE',[status(thm)],[948,1514,688,698]) ).

cnf(201679,plain,
    n30 != n20,
    inference('UR-RESOLVE',[status(thm)],[952,201417]) ).

cnf(201704,plain,
    ( less(n30,n20)
    | accept_population(countryamedicalorganization,atheist,n12) ),
    inference('REWRITE',[status(thm)],[180736,201679]) ).

cnf(201782,plain,
    ~ less(n30,n20),
    inference('UR-RESOLVE',[status(thm)],[951,201417]) ).

cnf(201807,plain,
    accept_population(countryamedicalorganization,atheist,n12),
    inference('REWRITE',[status(thm)],[201704,201782]) ).

cnf(205236,plain,
    ~ accept_population(countryamedicalorganization,native,n85),
    inference('UR-RESOLVE',[status(thm)],[47,201807,151635,19874,555,350]) ).

cnf(205425,plain,
    ~ less(n85,n100),
    inference('UR-RESOLVE',[status(thm)],[6,205236,19873]) ).

cnf(205447,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,205425,753,768]),155244]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : AGT008+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 03:00:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T03:00:14
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-04T03:00:14
% 0.35/0.58  WARNING:
% 0.35/0.58     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.58  WARNING:
% 0.35/0.58     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 192.23/192.48  
% 192.23/192.48  
% 192.23/192.48  #||
% 192.23/192.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 192.23/192.48  % SZS output start Refutation
% See solution above
% 192.30/192.50  ||#
% 192.30/192.50  
% 192.30/192.50  ; Summary of computation:
% 192.30/192.50  ;   5687643 formulas have been input or derived (from 148773 formulas).
% 192.30/192.50  ;    205447 ( 4%) were retained.  Of these,
% 192.30/192.50  ;        11245 ( 5%) were simplified or subsumed later,
% 192.30/192.50  ;       194202 (95%) are still being kept.
% 192.30/192.50  ; 
% 192.30/192.51  ; Run time in seconds excluding printing time:
% 192.30/192.51  ;     0.090   0%   Read assertion file          (1 call)
% 192.30/192.51  ;     0.007   0%   Assert                       (923 calls)
% 192.30/192.51  ;    19.551  10%   Process new row              (5,541,778 calls)
% 192.30/192.51  ;    83.970  44%   Resolution                   (297,544 calls)
% 192.30/192.51  ;     0.770   0%   Paramodulation               (148,772 calls)
% 192.30/192.51  ;     0.003   0%   Factoring                    (329 calls)
% 192.30/192.51  ;     0.365   0%   Condensing                   (71,924 calls)
% 192.30/192.51  ;     5.449   3%   Forward subsumption          (71,924 calls)
% 192.30/192.51  ;     5.298   3%   Backward subsumption         (54,242 calls)
% 192.30/192.51  ;     0.263   0%   Clause clause subsumption    (65,733 calls)
% 192.30/192.51  ;    58.430  30%   Forward simplification       (5,541,776 calls)
% 192.30/192.51  ;     1.281   1%   Backward simplification      (205,447 calls)
% 192.30/192.51  ;     0.471   0%   Ordering                     (280,129 calls)
% 192.30/192.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 192.30/192.51  ;     0.001   0%   Purity testing               (1 call)
% 192.30/192.51  ;    16.061   8%   Other
% 192.30/192.51  ;   192.010        Total
% 192.30/192.51  ;   192.039        Real time
% 192.30/192.51  ; 
% 192.30/192.51  ; Term-hash-array has 155,096 terms in all.
% 192.30/192.51  ; Feature-vector-row-index has 43,037 entries (43,869 at peak, 54,242 added, 11,205 deleted).
% 192.30/192.51  ; Feature-vector-row-index has 11,795 nodes (12,576 at peak, 21,360 added, 9,565 deleted).
% 192.30/192.51  ;  Retrieved 10,511,648 possibly forward subsuming rows in 71,924 calls.
% 192.30/192.51  ;  Retrieved 1,158,767 possibly backward subsumed rows in 54,242 calls.
% 192.30/192.51  ; Path-index has 155,230 entries (155,230 at peak, 155,930 added, 700 deleted).
% 192.30/192.51  ; Path-index has 3,167 nodes (3,167 at peak, 3,170 added, 3 deleted).
% 192.30/192.51  ; Trie-index has 155,230 entries (155,230 at peak, 155,930 added, 700 deleted).
% 192.30/192.51  ; Trie-index has 164,106 nodes (164,106 at peak, 164,830 added, 724 deleted).
% 192.30/192.51  ; Retrieved 11,891,229 generalization terms in 14,463,413 calls.
% 192.30/192.51  ; Retrieved 151,250 instance terms in 151,204 calls.
% 192.30/192.51  ; Retrieved 25,318,746 unifiable terms in 2,572,963 calls.
% 192.30/192.51  ; 
% 192.30/192.51  ; The agenda of rows to give has 45470 entries:
% 192.30/192.51  ;    10 with value (4 10)        776 with value (4 17)         267 with value (4 23)
% 192.30/192.51  ;     9 with value (4 13)       1095 with value (4 18)         631 with value (4 24)
% 192.30/192.51  ;    41 with value (4 14)         10 with value (4 19)         135 with value (4 25)
% 192.30/192.51  ;  1742 with value (4 15)          9 with value (4 21)           9 with value (4 26)
% 192.30/192.51  ; 40733 with value (4 16)          3 with value (4 22)
% 192.30/192.51  Evaluation took:
% 192.30/192.51    192.042 seconds of real time
% 192.30/192.51    172.6311 seconds of user run time
% 192.30/192.51    19.407764 seconds of system run time
% 192.30/192.51    [Run times include 26.363 seconds GC run time.]
% 192.30/192.51    0 calls to %EVAL
% 192.30/192.51    0 page faults and
% 192.30/192.51    11,657,315,656 bytes consed.
% 192.30/192.51  :PROOF-FOUND
% 192.30/192.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T03:03:26
% 192.30/192.51  :PROOF-FOUND
% 192.30/192.51  * 
%------------------------------------------------------------------------------