%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT004+1 : 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 : n012.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 2.04s 0.66s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 2 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 26 |; 9 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 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(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_6) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_38) ).
fof(f556,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_4) ).
fof(f557,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(flattening,[],[f557]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f567,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f566]) ).
fof(f580,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f583,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(f584,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,[],[f583]) ).
fof(f585,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f558]) ).
fof(f719,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f766,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f849,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f567]) ).
fof(f869,plain,
! [X2,X3,X0,X1] :
( accept_city(X0,X1)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f584]) ).
fof(f871,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f580]) ).
fof(f878,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f849,f766]) ).
fof(f893,definition,
( spl1_4
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f894,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl1_4 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,definition,
( spl1_5
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f897,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| spl1_5 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f878,f896,f893]) ).
fof(f902,plain,
( ! [X0] : ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,X0)
| spl1_5 ),
inference(resolution,[],[f897,f871]) ).
fof(f904,plain,
( $false
| spl1_5 ),
inference(resolution,[],[f902,f719]) ).
fof(f905,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f906,plain,
( ! [X0,X1] : ~ accept_team(countryamedicalorganization,X0,coastvillage,X1)
| spl1_4 ),
inference(resolution,[],[f894,f869]) ).
fof(f912,plain,
( $false
| spl1_4 ),
inference(resolution,[],[f906,f585]) ).
fof(f913,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f912]) ).
cnf(s3,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f898]) ).
cnf(s4,plain,
spl1_5,
inference(sat_conversion,[],[f905]) ).
cnf(s5,plain,
spl1_4,
inference(sat_conversion,[],[f913]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s4,s5]) ).
fof(f914,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 19:08:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.11 Running first-order theorem proving
% 0.08/0.11 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
% 2.04/0.66 % (3653032)Detected formulas, will run a generic FOF schedule.
% 2.04/0.66 % (3653043)dis-21_1_sil=8000:lcm=predicate:random_seed=1674464584: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)
% 2.04/0.66 % (3653040)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=83191433:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.04/0.66 % (3653037)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=3364315486:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.04/0.66 % (3653038)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=3788367585:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.04/0.66 % (3653042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1752435366:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.04/0.66 % (3653039)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=282397157:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.04/0.66 % (3653041)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=535105593:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.04/0.66 % (3653040)Refutation not found, incomplete strategy
% 2.04/0.66 % (3653040)------------------------------
% 2.04/0.66 % (3653040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/0.66 % (3653040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.66 % (3653040)CaDiCaL version: 2.1.3
% 2.04/0.66 % (3653040)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.66 % (3653040)Time elapsed: 0.001 s
% 2.04/0.66 % (3653040)Peak memory usage: 87 MB
% 2.04/0.66 % (3653040)Instructions burned: 2 (million)
% 2.04/0.66 % (3653041)Refutation not found, incomplete strategy
% 2.04/0.66 % (3653041)------------------------------
% 2.04/0.66 % (3653041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/0.66 % (3653041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.66 % (3653041)CaDiCaL version: 2.1.3
% 2.04/0.66 % (3653041)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.66 % (3653041)Time elapsed: 0.002 s
% 2.04/0.66 % (3653041)Peak memory usage: 87 MB
% 2.04/0.66 % (3653041)Instructions burned: 6 (million)
% 2.04/0.66 % (3653043)First to succeed.
% 2.04/0.66 % (3653043)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3653032"
% 2.04/0.66 % (3653042)Also succeeded, but the first one will report.
% 2.04/0.66 % (3653041)------------------------------
% 2.04/0.66 % (3653041)------------------------------
% 2.04/0.66 % (3653040)------------------------------
% 2.04/0.66 % (3653040)------------------------------
% 2.04/0.66 % (3653043)Refutation found. Thanks to Tanya!
% 2.04/0.66 % SZS status Theorem for theBenchmark
% 2.04/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.66 % (3653043)------------------------------
% 2.04/0.66 % (3653043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/0.66 % (3653043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.66 % (3653043)CaDiCaL version: 2.1.3
% 2.04/0.66 % (3653043)Termination reason: Refutation
% 2.04/0.66 % (3653043)Time elapsed: 0.004 s
% 2.04/0.66 % (3653043)Peak memory usage: 90 MB
% 2.04/0.66 % (3653043)Instructions burned: 13 (million)
% 2.04/0.66 % (3653043)------------------------------
% 2.04/0.66 % (3653043)------------------------------
% 2.04/0.66 % (3653032)Success in time 0.265 s
% 2.04/0.66 % Vampire exiting
%------------------------------------------------------------------------------