%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT014+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 : n007.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 09:06:35 AM UTC 2026
% Result : Theorem 4.12s 1.34s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 121 ( 52 ~; 45 |; 22 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% 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(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7) ).
fof(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_27) ).
fof(f55,axiom,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_35) ).
fof(f177,axiom,
accept_number(countryamedicalorganization,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_157) ).
fof(f556,conjecture,
? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_14) ).
fof(f557,negated_conjecture,
~ ? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f584,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(ennf_transformation,[],[f557]) ).
fof(f585,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(f586,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,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( accept_leader(X0,X3)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f661,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f729,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f47]) ).
fof(f737,plain,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
inference(cnf_transformation,[],[f55]) ).
fof(f859,plain,
accept_number(countryamedicalorganization,n6),
inference(cnf_transformation,[],[f177]) ).
fof(f1238,plain,
! [X2,X0,X1] : accept_population(X0,X1,X2),
inference(cnf_transformation,[],[f584]) ).
fof(f1270,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f661,f1238]) ).
fof(f1271,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f1270,f1238]) ).
fof(f1272,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f1271,f1238]) ).
fof(f1273,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f1272,f1238]) ).
fof(f1274,plain,
! [X0] : accept_city(X0,coastvillage),
inference(forward_subsumption_resolution,[],[f1273,f1238]) ).
fof(f1316,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ accept_city(X0,X1)
| accept_team(X0,X2,X1,X3)
| ~ accept_number(X0,X3)
| ~ accept_team(X0,X2,X4,X5) ),
inference(resolution,[],[f618,f616]) ).
fof(f1523,plain,
! [X2,X3,X0,X1,X4] :
( accept_team(X0,X1,coastvillage,X2)
| ~ accept_number(X0,X2)
| ~ accept_team(X0,X1,X3,X4) ),
inference(resolution,[],[f1316,f1274]) ).
fof(f1766,plain,
! [X0,X1] :
( ~ accept_number(countryamedicalorganization,n6)
| ~ accept_team(countryamedicalorganization,countryacivilorganization,X0,X1) ),
inference(resolution,[],[f1523,f737]) ).
fof(f1770,plain,
! [X0,X1] : ~ accept_team(countryamedicalorganization,countryacivilorganization,X0,X1),
inference(forward_subsumption_resolution,[],[f1766,f859]) ).
fof(f1887,plain,
$false,
inference(resolution,[],[f1770,f729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT014+1 : 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 : n007.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
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 19:08:40 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 4.12/1.34 % (2721695)Detected formulas, will run a generic FOF schedule.
% 4.12/1.34 % (2721704)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1499728705:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.12/1.34 % (2721704)Refutation not found, incomplete strategy
% 4.12/1.34 % (2721704)------------------------------
% 4.12/1.34 % (2721704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.34 % (2721704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.34 % (2721704)CaDiCaL version: 2.1.3
% 4.12/1.34 % (2721704)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.34 % (2721704)Time elapsed: 0.001 s
% 4.12/1.34 % (2721704)Peak memory usage: 86 MB
% 4.12/1.34 % (2721704)Instructions burned: 2 (million)
% 4.12/1.34 % (2721703)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1341126509:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.12/1.34 % (2721706)dis-21_1_sil=8000:lcm=predicate:random_seed=4282882473: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)
% 4.12/1.34 % (2721700)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=3182030687:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.12/1.34 % (2721702)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=1600971783:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.12/1.34 % (2721701)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=3523923185:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.12/1.34 % (2721703)Refutation not found, incomplete strategy
% 4.12/1.34 % (2721703)------------------------------
% 4.12/1.34 % (2721703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.34 % (2721703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.34 % (2721703)CaDiCaL version: 2.1.3
% 4.12/1.34 % (2721703)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.34 % (2721703)Time elapsed: 0.002 s
% 4.12/1.34 % (2721703)Peak memory usage: 87 MB
% 4.12/1.34 % (2721703)Instructions burned: 1 (million)
% 4.12/1.34 % (2721705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=900156227:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.12/1.34 % (2721705)First to succeed.
% 4.12/1.34 % (2721705)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2721695"
% 4.12/1.34 % (2721706)Instruction limit reached!
% 4.12/1.34 % (2721706)------------------------------
% 4.12/1.34 % (2721706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.34 % (2721706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.34 % (2721706)CaDiCaL version: 2.1.3
% 4.12/1.34 % (2721706)Termination reason: Instruction limit
% 4.12/1.34 % (2721706)Termination phase: Saturation
% 4.12/1.34 % (2721706)Time elapsed: 0.068 s
% 4.12/1.34 % (2721706)Peak memory usage: 90 MB
% 4.12/1.34 % (2721706)Instructions burned: 129 (million)
% 4.12/1.34 % (2721704)------------------------------
% 4.12/1.34 % (2721704)------------------------------
% 4.12/1.34 % (2721714)lrs+10_1_sil=8000:sp=occurrence:random_seed=1434798099:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.12/1.34 % (2721714)Refutation not found, incomplete strategy
% 4.12/1.34 % (2721714)------------------------------
% 4.12/1.34 % (2721714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.34 % (2721714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.34 % (2721714)CaDiCaL version: 2.1.3
% 4.12/1.34 % (2721714)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.34 % (2721714)Time elapsed: 0.002 s
% 4.12/1.34 % (2721714)Peak memory usage: 87 MB
% 4.12/1.34 % (2721714)Instructions burned: 1 (million)
% 4.12/1.34 % (2721715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1361292717:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.12/1.34 % (2721715)Refutation not found, incomplete strategy
% 4.12/1.34 % (2721715)------------------------------
% 4.12/1.34 % (2721715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.34 % (2721715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.34 % (2721715)CaDiCaL version: 2.1.3
% 4.12/1.34 % (2721715)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.34 % (2721715)Time elapsed: 0.002 s
% 4.12/1.34 % (2721715)Peak memory usage: 87 MB
% 4.12/1.34 % (2721715)Instructions burned: 6 (million)
% 4.12/1.34 % (2721703)------------------------------
% 4.12/1.34 % (2721703)------------------------------
% 4.12/1.34 % (2721705)Refutation found. Thanks to Tanya!
% 4.12/1.34 % SZS status Theorem for theBenchmark
% 4.12/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.35 % (2721705)------------------------------
% 4.12/1.35 % (2721705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.35 % (2721705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.35 % (2721705)CaDiCaL version: 2.1.3
% 4.12/1.35 % (2721705)Termination reason: Refutation
% 4.12/1.35 % (2721705)Time elapsed: 0.055 s
% 4.12/1.35 % (2721705)Peak memory usage: 89 MB
% 4.12/1.35 % (2721705)Instructions burned: 61 (million)
% 4.12/1.35 % (2721705)------------------------------
% 4.12/1.35 % (2721705)------------------------------
% 4.12/1.35 % (2721695)Success in time 0.504 s
% 4.12/1.35 % Vampire exiting
%------------------------------------------------------------------------------