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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:06:32 AM UTC 2026

% Result   : Theorem 3.66s 1.21s
% Output   : Refutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   43 (  20   ~;  14   |;   8   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( accept_team(X0,X3,X1,X2)
    <=> ( accept_city(X0,X1)
        & accept_leader(X0,X3)
        & accept_number(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1) ).

fof(f352,axiom,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_83) ).

fof(f353,axiom,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_84) ).

fof(f433,axiom,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_164) ).

fof(f923,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_3) ).

fof(f924,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(negated_conjecture,[status(cth)],[f923]) ).

fof(f925,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(flattening,[],[f924]) ).

fof(f953,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_city(X0,X1)
        | ~ accept_leader(X0,X3)
        | ~ accept_number(X0,X2) )
      & ( ( accept_city(X0,X1)
          & accept_leader(X0,X3)
          & accept_number(X0,X2) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f954,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_city(X0,X1)
        | ~ accept_leader(X0,X3)
        | ~ accept_number(X0,X2) )
      & ( ( accept_city(X0,X1)
          & accept_leader(X0,X3)
          & accept_number(X0,X2) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(flattening,[],[f953]) ).

fof(f955,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(cnf_transformation,[],[f925]) ).

fof(f988,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(cnf_transformation,[],[f433]) ).

fof(f994,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(cnf_transformation,[],[f353]) ).

fof(f995,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(cnf_transformation,[],[f352]) ).

fof(f1032,plain,
    ! [X2,X3,X0,X1] :
      ( accept_team(X0,X3,X1,X2)
      | ~ accept_city(X0,X1)
      | ~ accept_leader(X0,X3)
      | ~ accept_number(X0,X2) ),
    inference(cnf_transformation,[],[f954]) ).

fof(f1619,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(resolution,[],[f1032,f955]) ).

fof(f1622,plain,
    ( ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(forward_subsumption_resolution,[],[f1619,f995]) ).

fof(f1623,plain,
    ~ accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(forward_subsumption_resolution,[],[f1622,f994]) ).

fof(f1624,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1623,f988]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n004.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 19:08:22 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/1.21  % (665627)Detected formulas, will run a generic FOF schedule.
% 3.66/1.21  % (665633)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=692498331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.66/1.21  % (665634)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1523137937:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.66/1.21  % (665635)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4287695879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.66/1.21  % (665638)dis-21_1_sil=8000:lcm=predicate:random_seed=295405289:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.66/1.21  % (665632)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2486941036:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.66/1.21  % (665637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=562038440:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.66/1.21  % (665636)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2119172547:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.66/1.21  % (665635)Refutation not found, incomplete strategy
% 3.66/1.21  % (665635)------------------------------
% 3.66/1.21  % (665635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.21  % (665635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.21  % (665635)CaDiCaL version: 2.1.3
% 3.66/1.21  % (665635)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.21  % (665635)Time elapsed: 0.002 s
% 3.66/1.21  % (665635)Peak memory usage: 87 MB
% 3.66/1.21  % (665635)Instructions burned: 3 (million)
% 3.66/1.21  % (665636)First to succeed.
% 3.66/1.21  % (665636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-665627"
% 3.66/1.21  % (665637)Also succeeded, but the first one will report.
% 3.66/1.21  % (665638)Instruction limit reached! 
% 3.66/1.21  % (665638)------------------------------
% 3.66/1.21  % (665638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.21  % (665638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.21  % (665638)CaDiCaL version: 2.1.3
% 3.66/1.21  % (665638)Termination reason: Instruction limit
% 3.66/1.21  % (665638)Termination phase: Saturation
% 3.66/1.21  % (665638)Time elapsed: 0.064 s
% 3.66/1.21  % (665638)Peak memory usage: 90 MB
% 3.66/1.21  % (665638)Instructions burned: 129 (million)
% 3.66/1.21  % (665646)lrs+10_1_sil=8000:sp=occurrence:random_seed=2224704569:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.66/1.21  % (665635)------------------------------
% 3.66/1.21  % (665635)------------------------------
% 3.66/1.21  % (665646)Also succeeded, but the first one will report.
% 3.66/1.21  % (665636)Refutation found. Thanks to Tanya!
% 3.66/1.21  % SZS status Theorem for theBenchmark
% 3.66/1.21  % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.21  % (665636)------------------------------
% 3.66/1.21  % (665636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.21  % (665636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.21  % (665636)CaDiCaL version: 2.1.3
% 3.66/1.21  % (665636)Termination reason: Refutation
% 3.66/1.21  % (665636)Time elapsed: 0.007 s
% 3.66/1.21  % (665636)Peak memory usage: 88 MB
% 3.66/1.21  % (665636)Instructions burned: 13 (million)
% 3.66/1.21  % (665636)------------------------------
% 3.66/1.21  % (665636)------------------------------
% 3.66/1.21  % (665627)Success in time 0.453 s
% 3.66/1.21  % Vampire exiting
%------------------------------------------------------------------------------