TSTP Solution File: AGT019+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : AGT019+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 29.32s 29.51s
% Output   : Refutation 29.32s
% 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   :   36 (   6 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(8,axiom,
    ( ~ the_agent_in_all_proposed_teams(X,Y,Z)
    | accept_city(X,Z) ),
    file('/export/starexec/sandbox/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/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(52,axiom,
    ( accept_population(X,other,n0)
    | ~ accept_city(X,coastvillage) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_9) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(610,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/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/sandbox/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/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_population(X,Y,n24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_19) ).

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(121980,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference('UR-RESOLVE',[status(thm)],[628,18212,17664,18087,17973]) ).

cnf(122504,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference('HYPERRESOLVE',[status(thm)],[612,17215,610]) ).

cnf(122779,plain,
    ~ less(n75,n78),
    inference('UR-RESOLVE',[status(thm)],[6,121980,18214]) ).

cnf(122879,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
    inference('UR-RESOLVE',[status(thm)],[618,122779,413,416]) ).

cnf(122895,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[614,122504,765]),122879]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : AGT019+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n020.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 06:28:07 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48  * 
% 0.22/0.48  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T06:28:07
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-04T06:28:07
% 0.38/0.59  WARNING:
% 0.38/0.59     |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.59  WARNING:
% 0.38/0.59     |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 29.32/29.51  
% 29.32/29.51  
% 29.32/29.51  #||
% 29.32/29.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.32/29.51  % SZS output start Refutation
% See solution above
% 29.32/29.52  ||#
% 29.32/29.52  
% 29.32/29.52  ; Summary of computation:
% 29.32/29.52  ;    695918 formulas have been input or derived (from 120033 formulas).
% 29.32/29.52  ;    122895 (18%) were retained.  Of these,
% 29.32/29.52  ;           44 ( 0%) were simplified or subsumed later,
% 29.32/29.52  ;       122851 (100%) are still being kept.
% 29.32/29.52  ; 
% 29.32/29.52  ; Run time in seconds excluding printing time:
% 29.32/29.52  ;     0.072   0%   Read assertion file          (1 call)
% 29.32/29.52  ;     0.009   0%   Assert                       (556 calls)
% 29.32/29.52  ;     6.402  22%   Process new row              (578,992 calls)
% 29.32/29.52  ;    16.484  57%   Resolution                   (240,064 calls)
% 29.32/29.52  ;     0.426   1%   Paramodulation               (120,032 calls)
% 29.32/29.52  ;     0.000   0%   Factoring                    (1 call)
% 29.32/29.52  ;     0.044   0%   Condensing                   (4,024 calls)
% 29.32/29.52  ;     0.110   0%   Forward subsumption          (4,024 calls)
% 29.32/29.52  ;     0.040   0%   Backward subsumption         (2,072 calls)
% 29.32/29.52  ;     0.008   0%   Clause clause subsumption    (1,953 calls)
% 29.32/29.52  ;     2.394   8%   Forward simplification       (578,990 calls)
% 29.32/29.52  ;     0.457   2%   Backward simplification      (122,895 calls)
% 29.32/29.52  ;     0.222   1%   Ordering                     (106,683 calls)
% 29.32/29.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 29.32/29.52  ;     0.001   0%   Purity testing               (1 call)
% 29.32/29.52  ;     2.356   8%   Other
% 29.32/29.52  ;    29.025        Total
% 29.32/29.52  ;    29.027        Real time
% 29.32/29.52  ; 
% 29.32/29.52  ; Term-hash-array has 121,723 terms in all.
% 29.32/29.52  ; Feature-vector-row-index has 2,068 entries (2,068 at peak, 2,072 added, 4 deleted).
% 29.32/29.52  ; Feature-vector-row-index has 871 nodes (871 at peak, 887 added, 16 deleted).
% 29.32/29.52  ;  Retrieved 36,073 possibly forward subsuming rows in 4,024 calls.
% 29.32/29.52  ;  Retrieved 18,757 possibly backward subsumed rows in 2,072 calls.
% 29.32/29.52  ; Path-index has 121,968 entries (121,968 at peak, 122,011 added, 43 deleted).
% 29.32/29.52  ; Path-index has 2,869 nodes (2,869 at peak, 2,870 added, 1 deleted).
% 29.32/29.52  ; Trie-index has 121,968 entries (121,968 at peak, 122,011 added, 43 deleted).
% 29.32/29.52  ; Trie-index has 126,783 nodes (126,783 at peak, 126,848 added, 65 deleted).
% 29.32/29.52  ; Retrieved 573,000 generalization terms in 635,928 calls.
% 29.32/29.52  ; Retrieved 120,869 instance terms in 120,822 calls.
% 29.32/29.52  ; Retrieved 10,435,901 unifiable terms in 1,630,504 calls.
% 29.32/29.52  ; 
% 29.32/29.52  ; The agenda of rows to process has 11 entries:
% 29.32/29.52  ;    11 with value 17
% 29.32/29.52  ; The agenda of rows to give has 2858 entries:
% 29.32/29.52  ;     2 with value (4 7)          62 with value (4 12)         555 with value (4 16)
% 29.32/29.52  ;    36 with value (4 9)          69 with value (4 13)          53 with value (4 17)
% 29.32/29.52  ;   380 with value (4 10)         10 with value (4 14)           4 with value (4 19)
% 29.32/29.52  ;    96 with value (4 11)       1562 with value (4 15)          29 with value (4 23)
% 29.32/29.52  Evaluation took:
% 29.32/29.52    29.029 seconds of real time
% 29.32/29.52    26.346884 seconds of user run time
% 29.32/29.52    2.6833 seconds of system run time
% 29.32/29.52    [Run times include 3.628 seconds GC run time.]
% 29.32/29.52    0 calls to %EVAL
% 29.32/29.52    0 page faults and
% 29.32/29.52    1,432,181,208 bytes consed.
% 29.32/29.52  :PROOF-FOUND
% 29.32/29.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T06:28:37
% 29.32/29.52  :PROOF-FOUND
% 29.32/29.52  * 
%------------------------------------------------------------------------------