TSTP Solution File: AGT009+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT009+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 37.78s 37.99s
% Output   : Refutation 37.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   25 (  17 unt;   0 nHn;  25 RR)
%            Number of literals    :   41 (   0 equ;  19 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  17 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ accept_team(X,Y,Z,U)
    | accept_city(X,Z) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_3) ).

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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_9) ).

cnf(66,axiom,
    ( accept_population(X,atheist,n75)
    | ~ accept_city(X,citya) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).

cnf(67,axiom,
    ( accept_population(X,christian,n25)
    | ~ accept_city(X,citya) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).

cnf(430,axiom,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_93) ).

cnf(538,axiom,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_203) ).

cnf(539,axiom,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_204) ).

cnf(666,axiom,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_366) ).

cnf(692,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn24) ).

cnf(693,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn25) ).

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

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

cnf(944,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/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

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(957,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_9) ).

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

cnf(973,plain,
    rdn_non_zero(rdnn(n2)),
    inference('HYPERRESOLVE',[status(thm)],[946,925]) ).

cnf(19872,plain,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    inference('HYPERRESOLVE',[status(thm)],[67,964]) ).

cnf(19873,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference('HYPERRESOLVE',[status(thm)],[66,964]) ).

cnf(78453,plain,
    rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[944,973,937]) ).

cnf(133675,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference('UR-RESOLVE',[status(thm)],[59,19873,539,538,430,666]) ).

cnf(141664,plain,
    ~ less(n24,n25),
    inference('UR-RESOLVE',[status(thm)],[6,133675,19872]) ).

cnf(141729,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,141664,692,693]),78453]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : AGT009+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n022.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 06:14:36 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T06:14:36
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-04T06:14:36
% 0.37/0.62  WARNING:
% 0.37/0.62     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.62  WARNING:
% 0.37/0.62     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 37.78/37.99  
% 37.78/37.99  
% 37.78/37.99  #||
% 37.78/37.99  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.78/37.99  % SZS output start Refutation
% See solution above
% 37.78/37.99  ||#
% 37.78/37.99  
% 37.78/37.99  ; Summary of computation:
% 37.78/37.99  ;    527919 formulas have been input or derived (from 94507 formulas).
% 37.78/37.99  ;    141729 (27%) were retained.  Of these,
% 37.78/37.99  ;           42 ( 0%) were simplified or subsumed later,
% 37.78/37.99  ;       141687 (100%) are still being kept.
% 37.78/37.99  ; 
% 37.78/37.99  ; Run time in seconds excluding printing time:
% 37.78/37.99  ;     0.093   0%   Read assertion file          (1 call)
% 37.78/37.99  ;     0.005   0%   Assert                       (923 calls)
% 37.78/37.99  ;     6.203  17%   Process new row              (410,717 calls)
% 37.78/37.99  ;    24.959  67%   Resolution                   (189,012 calls)
% 37.78/37.99  ;     0.384   1%   Paramodulation               (94,506 calls)
% 37.78/37.99  ;     0.000   0%   Factoring                    (1 call)
% 37.78/37.99  ;     0.223   1%   Condensing                   (19,182 calls)
% 37.78/37.99  ;     0.316   1%   Forward subsumption          (19,182 calls)
% 37.78/37.99  ;     0.227   1%   Backward subsumption         (9,653 calls)
% 37.78/37.99  ;     0.033   0%   Clause clause subsumption    (9,530 calls)
% 37.78/37.99  ;     2.444   7%   Forward simplification       (410,715 calls)
% 37.78/37.99  ;     0.488   1%   Backward simplification      (141,729 calls)
% 37.78/37.99  ;     0.196   1%   Ordering                     (144,577 calls)
% 37.78/37.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 37.78/37.99  ;     0.001   0%   Purity testing               (1 call)
% 37.78/37.99  ;     1.907   5%   Other
% 37.78/37.99  ;    37.479        Total
% 37.78/37.99  ;    37.492        Real time
% 37.78/37.99  ; 
% 37.78/37.99  ; Term-hash-array has 132,987 terms in all.
% 37.78/37.99  ; Feature-vector-row-index has 9,651 entries (9,651 at peak, 9,653 added, 2 deleted).
% 37.78/37.99  ; Feature-vector-row-index has 1,263 nodes (1,263 at peak, 1,267 added, 4 deleted).
% 37.78/37.99  ;  Retrieved 239,382 possibly forward subsuming rows in 19,182 calls.
% 37.78/37.99  ;  Retrieved 114,921 possibly backward subsumed rows in 9,653 calls.
% 37.78/37.99  ; Path-index has 133,233 entries (133,233 at peak, 133,275 added, 42 deleted).
% 37.78/37.99  ; Path-index has 2,872 nodes (2,872 at peak, 2,873 added, 1 deleted).
% 37.78/37.99  ; Trie-index has 133,233 entries (133,233 at peak, 133,275 added, 42 deleted).
% 37.78/37.99  ; Trie-index has 138,065 nodes (138,065 at peak, 138,132 added, 67 deleted).
% 37.78/37.99  ; Retrieved 393,472 generalization terms in 497,565 calls.
% 37.78/37.99  ; Retrieved 132,121 instance terms in 132,075 calls.
% 37.78/37.99  ; Retrieved 15,041,660 unifiable terms in 1,370,252 calls.
% 37.78/37.99  ; 
% 37.78/37.99  ; The agenda of rows to give has 47220 entries:
% 37.78/37.99  ;     2 with value (4 8)          58 with value (4 12)        7958 with value (4 16)
% 37.78/37.99  ; 37190 with value (4 9)          95 with value (4 13)          32 with value (4 17)
% 37.78/37.99  ;    65 with value (4 10)        171 with value (4 14)           1 with value (4 19)
% 37.78/37.99  ;    62 with value (4 11)       1557 with value (4 15)          29 with value (4 23)
% 37.78/37.99  Evaluation took:
% 37.78/37.99    37.493 seconds of real time
% 37.78/37.99    35.054455 seconds of user run time
% 37.78/37.99    2.42848 seconds of system run time
% 37.78/37.99    [Run times include 3.72 seconds GC run time.]
% 37.78/37.99    0 calls to %EVAL
% 37.78/37.99    0 page faults and
% 37.78/37.99    1,466,667,912 bytes consed.
% 37.78/37.99  :PROOF-FOUND
% 37.78/37.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T06:15:14
% 37.78/37.99  :PROOF-FOUND
% 37.78/37.99  * 
%------------------------------------------------------------------------------