TSTP Solution File: AGT023+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 12:03:59 EDT 2022

% Result   : Theorem 27.22s 27.44s
% Output   : Refutation 27.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   37 (  21 unt;   0 nHn;  32 RR)
%            Number of literals    :   68 (   0 equ;  35 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-4 aty)
%            Number of functors    :   23 (  23 usr;  20 con; 0-2 aty)
%            Number of variables   :   36 (   8 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(9,axiom,
    ( ~ any_agent_in_all_proposed_teams(X,Y,Z)
    | accept_leader(X,Y) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).

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(69,axiom,
    ( accept_population(X,native,n0)
    | ~ accept_city(X,citya) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).

cnf(70,axiom,
    ( accept_population(X,other,n0)
    | ~ accept_city(X,citya) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).

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

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

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

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

cnf(362,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn24) ).

cnf(363,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn25) ).

cnf(595,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

cnf(607,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

cnf(627,negated_conjecture,
    accept_city(X,citya),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_23) ).

cnf(628,plain,
    accept_population(X,atheist,n75),
    inference('REWRITE',[status(thm)],[66,627]) ).

cnf(629,plain,
    ( ~ accept_population(X,christian,n24)
    | ~ accept_population(X,muslim,n1)
    | ~ accept_population(X,native,n0)
    | ~ accept_population(X,other,n0)
    | accept_city(X,towna) ),
    inference('REWRITE',[status(thm)],[59,628]) ).

cnf(630,plain,
    accept_population(X,christian,n25),
    inference('REWRITE',[status(thm)],[67,627]) ).

cnf(635,plain,
    accept_population(X,native,n0),
    inference('REWRITE',[status(thm)],[69,627]) ).

cnf(639,plain,
    ( ~ accept_population(X,christian,n24)
    | ~ accept_population(X,muslim,n1)
    | ~ accept_population(X,other,n0)
    | accept_city(X,towna) ),
    inference('REWRITE',[status(thm)],[629,635]) ).

cnf(640,plain,
    accept_population(X,other,n0),
    inference('REWRITE',[status(thm)],[70,627]) ).

cnf(643,plain,
    ( ~ accept_population(X,christian,n24)
    | ~ accept_population(X,muslim,n1)
    | accept_city(X,towna) ),
    inference('REWRITE',[status(thm)],[639,640]) ).

cnf(695,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference('HYPERRESOLVE',[status(thm)],[9,100]) ).

cnf(715,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference('HYPERRESOLVE',[status(thm)],[1,261]) ).

cnf(774,plain,
    rdn_non_zero(rdnn(n2)),
    inference('HYPERRESOLVE',[status(thm)],[616,595]) ).

cnf(18083,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference('UR-RESOLVE',[status(thm)],[10,695,99]) ).

cnf(18326,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference('HYPERRESOLVE',[status(thm)],[80,715]) ).

cnf(70820,plain,
    rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[614,774,607]) ).

cnf(132525,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference('UR-RESOLVE',[status(thm)],[643,18326,18083]) ).

cnf(133922,plain,
    ~ less(n24,n25),
    inference('UR-RESOLVE',[status(thm)],[6,132525,630]) ).

cnf(134030,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[618,133922,362,363]),70820]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : AGT023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun  4 04:14:06 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 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 2022-06-04T04:14:06
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-04T04:14:06
% 0.20/0.59  WARNING:
% 0.20/0.59     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.59  WARNING:
% 0.20/0.59     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 27.22/27.44  
% 27.22/27.44  
% 27.22/27.44  #||
% 27.22/27.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.22/27.44  % SZS output start Refutation
% See solution above
% 27.22/27.44  ||#
% 27.22/27.44  
% 27.22/27.44  ; Summary of computation:
% 27.22/27.44  ;    505578 formulas have been input or derived (from 87097 formulas).
% 27.22/27.44  ;    134030 (27%) were retained.  Of these,
% 27.22/27.44  ;           70 ( 0%) were simplified or subsumed later,
% 27.22/27.44  ;       133960 (100%) are still being kept.
% 27.22/27.44  ; 
% 27.22/27.44  ; Run time in seconds excluding printing time:
% 27.22/27.44  ;     0.070   0%   Read assertion file          (1 call)
% 27.22/27.44  ;     0.012   0%   Assert                       (556 calls)
% 27.22/27.44  ;     5.428  20%   Process new row              (390,827 calls)
% 27.22/27.44  ;    16.256  60%   Resolution                   (174,192 calls)
% 27.22/27.44  ;     0.314   1%   Paramodulation               (87,096 calls)
% 27.22/27.44  ;     0.000   0%   Factoring                    (1 call)
% 27.22/27.44  ;     0.030   0%   Condensing                   (4,991 calls)
% 27.22/27.44  ;     0.064   0%   Forward subsumption          (4,991 calls)
% 27.22/27.44  ;     0.044   0%   Backward subsumption         (2,559 calls)
% 27.22/27.44  ;     0.011   0%   Clause clause subsumption    (2,433 calls)
% 27.22/27.44  ;     2.332   9%   Forward simplification       (390,825 calls)
% 27.22/27.44  ;     0.524   2%   Backward simplification      (134,030 calls)
% 27.22/27.44  ;     0.141   1%   Ordering                     (109,077 calls)
% 27.22/27.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 27.22/27.44  ;     0.001   0%   Purity testing               (1 call)
% 27.22/27.44  ;     1.715   6%   Other
% 27.22/27.44  ;    26.942        Total
% 27.22/27.44  ;    26.942        Real time
% 27.22/27.44  ; 
% 27.22/27.44  ; Term-hash-array has 132,362 terms in all.
% 27.22/27.44  ; Feature-vector-row-index has 2,529 entries (2,529 at peak, 2,559 added, 30 deleted).
% 27.22/27.44  ; Feature-vector-row-index has 826 nodes (826 at peak, 945 added, 119 deleted).
% 27.22/27.44  ;  Retrieved 43,065 possibly forward subsuming rows in 4,991 calls.
% 27.22/27.44  ;  Retrieved 21,914 possibly backward subsumed rows in 2,559 calls.
% 27.22/27.44  ; Path-index has 132,608 entries (132,608 at peak, 132,651 added, 43 deleted).
% 27.22/27.44  ; Path-index has 2,869 nodes (2,869 at peak, 2,871 added, 2 deleted).
% 27.22/27.44  ; Trie-index has 132,608 entries (132,608 at peak, 132,651 added, 43 deleted).
% 27.22/27.44  ; Trie-index has 137,471 nodes (137,471 at peak, 137,536 added, 65 deleted).
% 27.22/27.44  ; Retrieved 374,177 generalization terms in 449,706 calls.
% 27.22/27.44  ; Retrieved 131,516 instance terms in 131,470 calls.
% 27.22/27.44  ; Retrieved 10,625,346 unifiable terms in 1,298,185 calls.
% 27.22/27.44  ; 
% 27.22/27.44  ; The agenda of rows to give has 46903 entries:
% 27.22/27.44  ;     5 with value (4 8)          61 with value (4 12)        1034 with value (4 16)
% 27.22/27.44  ; 43516 with value (4 9)          66 with value (4 13)          42 with value (4 17)
% 27.22/27.44  ;   469 with value (4 10)         14 with value (4 14)          29 with value (4 23)
% 27.22/27.44  ;   105 with value (4 11)       1562 with value (4 15)
% 27.22/27.44  Evaluation took:
% 27.22/27.44    26.943 seconds of real time
% 27.22/27.44    24.627275 seconds of user run time
% 27.22/27.44    2.318303 seconds of system run time
% 27.22/27.44    [Run times include 3.559 seconds GC run time.]
% 27.22/27.44    0 calls to %EVAL
% 27.22/27.44    0 page faults and
% 27.22/27.44    1,315,821,824 bytes consed.
% 27.22/27.44  :PROOF-FOUND
% 27.22/27.44  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T04:14:33
% 27.22/27.44  :PROOF-FOUND
% 27.22/27.44  * 
%------------------------------------------------------------------------------