TSTP Solution File: AGT018+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 12:03:57 EDT 2022

% Result   : Theorem 38.38s 38.66s
% Output   : Refutation 38.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   43 (  28 unt;   0 nHn;  42 RR)
%            Number of literals    :   71 (   0 equ;  33 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   26 (  26 usr;  23 con; 0-2 aty)
%            Number of variables   :   35 (   5 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(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(8,axiom,
    ( ~ the_agent_in_all_proposed_teams(X,Y,Z)
    | accept_city(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).

cnf(9,axiom,
    ( ~ any_agent_in_all_proposed_teams(X,Y,Z)
    | accept_leader(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).

cnf(10,axiom,
    ( ~ the_agent_not_in_any_proposed_teams(X,Y,Z)
    | ~ accept_city(X,Z)
    | ~ accept_leader(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).

cnf(52,axiom,
    ( accept_population(X,other,n0)
    | ~ accept_city(X,coastvillage) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).

cnf(59,axiom,
    ( ~ accept_population(X,atheist,n75)
    | ~ accept_population(X,christian,n24)
    | ~ accept_population(X,muslim,n1)
    | ~ accept_population(X,native,n0)
    | ~ accept_population(X,other,n0)
    | accept_city(X,towna) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).

cnf(78,axiom,
    ( accept_population(X,atheist,n78)
    | ~ accept_city(X,cityb) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).

cnf(80,axiom,
    ( accept_population(X,muslim,n1)
    | ~ accept_city(X,cityb) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).

cnf(87,axiom,
    ( accept_population(X,native,n0)
    | ~ accept_city(X,townc) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).

cnf(99,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_11) ).

cnf(100,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_12) ).

cnf(185,axiom,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_97) ).

cnf(192,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).

cnf(261,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_173) ).

cnf(413,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).

cnf(416,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).

cnf(600,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).

cnf(608,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).

cnf(609,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).

cnf(610,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).

cnf(612,axiom,
    ( ~ rdn_positive_less(rdnn(X),rdnn(Y))
    | ~ rdn_positive_less(rdnn(Y),rdnn(Z))
    | rdn_positive_less(rdnn(X),rdnn(Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

cnf(614,axiom,
    ( ~ rdn_positive_less(rdnn(X),rdnn(Y))
    | ~ rdn_non_zero(Z)
    | rdn_positive_less(rdn(rdnn(X),Z),rdn(rdnn(Y),Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

cnf(616,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(618,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(627,negated_conjecture,
    accept_population(X,christian,n24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_18) ).

cnf(628,plain,
    ( ~ accept_population(X,atheist,n75)
    | ~ accept_population(X,muslim,n1)
    | ~ accept_population(X,native,n0)
    | ~ accept_population(X,other,n0)
    | accept_city(X,towna) ),
    inference('REWRITE',[status(thm)],[59,627]) ).

cnf(659,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference('HYPERRESOLVE',[status(thm)],[8,192]) ).

cnf(680,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference('HYPERRESOLVE',[status(thm)],[9,100]) ).

cnf(691,plain,
    accept_city(muslimcountrybhumanitarianorganization,coastvillage),
    inference('HYPERRESOLVE',[status(thm)],[1,185]) ).

cnf(700,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference('HYPERRESOLVE',[status(thm)],[1,261]) ).

cnf(765,plain,
    rdn_non_zero(rdnn(n7)),
    inference('HYPERRESOLVE',[status(thm)],[616,600]) ).

cnf(17215,plain,
    rdn_positive_less(rdnn(n5),rdnn(n7)),
    inference('HYPERRESOLVE',[status(thm)],[612,608,609]) ).

cnf(17664,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference('HYPERRESOLVE',[status(thm)],[87,659]) ).

cnf(17973,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference('UR-RESOLVE',[status(thm)],[10,680,99]) ).

cnf(18087,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference('HYPERRESOLVE',[status(thm)],[52,691]) ).

cnf(18212,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference('HYPERRESOLVE',[status(thm)],[80,700]) ).

cnf(18214,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference('HYPERRESOLVE',[status(thm)],[78,700]) ).

cnf(128124,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference('UR-RESOLVE',[status(thm)],[628,18212,17664,18087,17973]) ).

cnf(128648,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference('HYPERRESOLVE',[status(thm)],[612,17215,610]) ).

cnf(135067,plain,
    ~ less(n75,n78),
    inference('UR-RESOLVE',[status(thm)],[6,128124,18214]) ).

cnf(135166,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
    inference('UR-RESOLVE',[status(thm)],[618,135067,413,416]) ).

cnf(135180,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[614,128648,765]),135166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : AGT018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun  4 03:52:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-04T03:52:50
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-04T03:52:50
% 0.18/0.55  WARNING:
% 0.18/0.55     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 38.38/38.66  
% 38.38/38.66  
% 38.38/38.66  #||
% 38.38/38.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.38/38.66  % SZS output start Refutation
% See solution above
% 38.38/38.66  ||#
% 38.38/38.66  
% 38.38/38.66  ; Summary of computation:
% 38.38/38.66  ;    709641 formulas have been input or derived (from 126176 formulas).
% 38.38/38.66  ;    135180 (19%) were retained.  Of these,
% 38.38/38.66  ;           44 ( 0%) were simplified or subsumed later,
% 38.38/38.66  ;       135136 (100%) are still being kept.
% 38.38/38.66  ; 
% 38.38/38.66  ; Run time in seconds excluding printing time:
% 38.38/38.66  ;     0.070   0%   Read assertion file          (1 call)
% 38.38/38.66  ;     0.006   0%   Assert                       (556 calls)
% 38.38/38.66  ;     8.099  21%   Process new row              (592,668 calls)
% 38.38/38.66  ;    22.241  58%   Resolution                   (252,350 calls)
% 38.38/38.66  ;     0.505   1%   Paramodulation               (126,175 calls)
% 38.38/38.66  ;     0.000   0%   Factoring                    (1 call)
% 38.38/38.66  ;     0.123   0%   Condensing                   (16,311 calls)
% 38.38/38.66  ;     0.243   1%   Forward subsumption          (16,311 calls)
% 38.38/38.66  ;     0.191   1%   Backward subsumption         (8,215 calls)
% 38.38/38.66  ;     0.022   0%   Clause clause subsumption    (8,097 calls)
% 38.38/38.66  ;     2.939   8%   Forward simplification       (592,666 calls)
% 38.38/38.66  ;     0.735   2%   Backward simplification      (135,180 calls)
% 38.38/38.66  ;     0.253   1%   Ordering                     (137,401 calls)
% 38.38/38.66  ;     0.002   0%   Sortal reasoning             (32 calls)
% 38.38/38.66  ;     0.001   0%   Purity testing               (1 call)
% 38.38/38.66  ;     2.686   7%   Other
% 38.38/38.66  ;    38.116        Total
% 38.38/38.66  ;    38.205        Real time
% 38.38/38.66  ; 
% 38.38/38.66  ; Term-hash-array has 127,862 terms in all.
% 38.38/38.66  ; Feature-vector-row-index has 8,211 entries (8,211 at peak, 8,215 added, 4 deleted).
% 38.38/38.66  ; Feature-vector-row-index has 1,184 nodes (1,184 at peak, 1,200 added, 16 deleted).
% 38.38/38.66  ;  Retrieved 210,641 possibly forward subsuming rows in 16,311 calls.
% 38.38/38.66  ;  Retrieved 100,483 possibly backward subsumed rows in 8,215 calls.
% 38.38/38.66  ; Path-index has 128,108 entries (128,108 at peak, 128,150 added, 42 deleted).
% 38.38/38.66  ; Path-index has 2,869 nodes (2,869 at peak, 2,870 added, 1 deleted).
% 38.38/38.67  ; Trie-index has 128,108 entries (128,108 at peak, 128,150 added, 42 deleted).
% 38.38/38.67  ; Trie-index has 132,922 nodes (132,922 at peak, 132,986 added, 64 deleted).
% 38.38/38.67  ; Retrieved 580,533 generalization terms in 674,179 calls.
% 38.38/38.67  ; Retrieved 127,010 instance terms in 126,964 calls.
% 38.38/38.67  ; Retrieved 12,298,225 unifiable terms in 1,686,627 calls.
% 38.38/38.67  ; 
% 38.38/38.67  ; The agenda of rows to process has 11 entries:
% 38.38/38.67  ;    11 with value 17
% 38.38/38.67  ; The agenda of rows to give has 9000 entries:
% 38.38/38.67  ;     2 with value (4 7)          62 with value (4 12)         555 with value (4 16)
% 38.38/38.67  ;    36 with value (4 9)          68 with value (4 13)        6197 with value (4 17)
% 38.38/38.67  ;   380 with value (4 10)         10 with value (4 14)           3 with value (4 19)
% 38.38/38.67  ;    96 with value (4 11)       1562 with value (4 15)          29 with value (4 23)
% 38.38/38.67  Evaluation took:
% 38.38/38.67    38.207 seconds of real time
% 38.38/38.67    34.846344 seconds of user run time
% 38.38/38.67    3.274434 seconds of system run time
% 38.38/38.67    [Run times include 4.752 seconds GC run time.]
% 38.38/38.67    0 calls to %EVAL
% 38.38/38.67    0 page faults and
% 38.38/38.67    1,568,395,888 bytes consed.
% 38.38/38.67  :PROOF-FOUND
% 38.38/38.67  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T03:53:29
% 38.38/38.67  :PROOF-FOUND
% 38.38/38.67  * 
%------------------------------------------------------------------------------