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Vampire-SAT---5.0.1.THM-Ref.s

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

% Computer : n011.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 09:06:44 AM UTC 2026

% Result   : Theorem 0.22s 0.34s
% Output   : Refutation 0.22s
% 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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(f352,axiom,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_83) ).

fof(f353,axiom,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_84) ).

fof(f433,axiom,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_164) ).

fof(f923,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    file('/export/starexec/sandbox/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(f952,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(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(flattening,[],[f952]) ).

fof(f985,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,[],[f953]) ).

fof(f1401,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(cnf_transformation,[],[f352]) ).

fof(f1402,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(cnf_transformation,[],[f353]) ).

fof(f1482,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(cnf_transformation,[],[f433]) ).

fof(f1972,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(cnf_transformation,[],[f925]) ).

fof(f2848,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(resolution,[],[f985,f1972]) ).

fof(f2879,plain,
    ( ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(forward_subsumption_resolution,[],[f2848,f1401]) ).

fof(f2880,plain,
    ~ accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(forward_subsumption_resolution,[],[f2879,f1402]) ).

fof(f2881,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2880,f1482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n011.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 19:08:30 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24  Running first-order model finding
% 0.08/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.34  % (3675766)Will run a generic schedule for satisfiability detection.
% 0.22/0.34  % (3675772)% WARNING: option uhcvi not known.
% 0.22/0.34  % (3675775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3094785871:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.34  % (3675771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3759175329_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.34  % (3675772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1094270468:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.34  % (3675774)dis+10_1_sil=32000:sp=arity:random_seed=1166281149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.34  % (3675773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1690083700:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.34  % (3675776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3632011968:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.34  % (3675777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2086824441:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.34  % (3675774) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3675766-3675774"...
% 0.22/0.34  % (3675772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3675766-3675772"...
% 0.22/0.34  % (3675774)...printing done.
% 0.22/0.34  % (3675775)Instruction limit reached! 
% 0.22/0.34  % (3675775)------------------------------
% 0.22/0.34  % (3675775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34  % (3675775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34  % (3675775)CaDiCaL version: 2.1.3
% 0.22/0.34  % (3675775)Termination reason: Instruction limit
% 0.22/0.34  % (3675775)Termination phase: Saturation
% 0.22/0.34  % (3675775)Time elapsed: 0.044 s
% 0.22/0.34  % (3675772)...printing done.
% 0.22/0.34  % (3675775)Peak memory usage: 14 MB
% 0.22/0.34  % (3675775)Instructions burned: 118 (million)
% 0.22/0.34  % (3675774)Refutation found. Thanks to Tanya!
% 0.22/0.34  % SZS status Theorem for theBenchmark
% 0.22/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.34  % (3675774)------------------------------
% 0.22/0.34  % (3675774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34  % (3675774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34  % (3675774)CaDiCaL version: 2.1.3
% 0.22/0.34  % (3675774)Termination reason: Refutation
% 0.22/0.34  % (3675774)Time elapsed: 0.037 s
% 0.22/0.34  % (3675774)Peak memory usage: 13 MB
% 0.22/0.34  % (3675774)Instructions burned: 76 (million)
% 0.22/0.34  % (3675766)Success in time 0.088 s
% 0.22/0.34  % Vampire exiting
%------------------------------------------------------------------------------