%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT004+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 : n005.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 0.19s 1.20s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 9 |; 8 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_13) ).
fof(f923,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_4) ).
fof(f924,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(flattening,[],[f924]) ).
fof(f951,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(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(flattening,[],[f951]) ).
fof(f953,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f925]) ).
fof(f1010,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1034,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f952]) ).
fof(f1465,plain,
accept_city(countryamedicalorganization,coastvillage),
inference(resolution,[],[f1034,f953]) ).
fof(f1536,plain,
$false,
inference(forward_subsumption_resolution,[],[f1465,f1010]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n005.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 19:08:16 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 0.19/1.20 % (1059429)Detected formulas, will run a generic FOF schedule.
% 0.19/1.20 % (1059437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1508712529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.20 % (1059437)Refutation not found, incomplete strategy
% 0.19/1.20 % (1059437)------------------------------
% 0.19/1.20 % (1059437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (1059437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (1059437)CaDiCaL version: 2.1.3
% 0.19/1.20 % (1059437)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.20 % (1059437)Time elapsed: 0.001 s
% 0.19/1.20 % (1059437)Peak memory usage: 87 MB
% 0.19/1.20 % (1059437)Instructions burned: 3 (million)
% 0.19/1.20 % (1059434)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=1146871477:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.20 % (1059439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=609144525:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.20 % (1059435)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=288406751:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.20 % (1059436)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=1137480507:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.20 % (1059438)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3501418595:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.20 % (1059440)dis-21_1_sil=8000:lcm=predicate:random_seed=2483121055: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)
% 0.19/1.20 % (1059438)First to succeed.
% 0.19/1.20 % (1059438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1059429"
% 0.19/1.20 % (1059440)Also succeeded, but the first one will report.
% 0.19/1.20 % (1059439)Also succeeded, but the first one will report.
% 0.19/1.20 % (1059437)------------------------------
% 0.19/1.20 % (1059437)------------------------------
% 0.19/1.20 % (1059448)lrs+10_1_sil=8000:sp=occurrence:random_seed=1240066499:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.19/1.20 % (1059448)Also succeeded, but the first one will report.
% 0.19/1.20 % (1059438)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Theorem for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (1059438)------------------------------
% 0.19/1.20 % (1059438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (1059438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (1059438)CaDiCaL version: 2.1.3
% 0.19/1.20 % (1059438)Termination reason: Refutation
% 0.19/1.20 % (1059438)Time elapsed: 0.007 s
% 0.19/1.20 % (1059438)Peak memory usage: 88 MB
% 0.19/1.20 % (1059438)Instructions burned: 12 (million)
% 0.19/1.20 % (1059438)------------------------------
% 0.19/1.20 % (1059438)------------------------------
% 0.19/1.20 % (1059429)Success in time 0.463 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------