%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT003+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 : n009.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 09:06:31 AM UTC 2026
% Result : Theorem 4.05s 1.35s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 18 unt; 3 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 87 ( 42 ~; 33 |; 8 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn 56 !; 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(f46,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_26) ).
fof(f110,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_90) ).
fof(f113,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_93) ).
fof(f556,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_3) ).
fof(f557,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(flattening,[],[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(f615,plain,
! [X2,X3,X0,X1] :
( accept_number(X0,X2)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( accept_leader(X0,X3)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( accept_city(X0,X1)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( ~ accept_city(X0,X1)
| accept_team(X0,X3,X1,X2)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f728,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f46]) ).
fof(f792,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(cnf_transformation,[],[f110]) ).
fof(f795,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(cnf_transformation,[],[f113]) ).
fof(f1238,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ accept_leader(X0,X1)
| accept_team(X0,X1,X2,X3)
| ~ accept_number(X0,X3)
| ~ accept_team(X0,X4,X2,X5) ),
inference(resolution,[],[f618,f617]) ).
fof(f1271,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( accept_team(X0,X1,X2,X3)
| ~ accept_number(X0,X3)
| ~ accept_team(X0,X4,X2,X5)
| ~ accept_team(X0,X1,X6,X7) ),
inference(resolution,[],[f1240,f616]) ).
fof(f1686,plain,
! [X2,X3,X0,X1] :
( ~ accept_number(christiansufferterrahumanitarianorganization,n5)
| ~ accept_team(christiansufferterrahumanitarianorganization,X0,towna,X1)
| ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X2,X3) ),
inference(resolution,[],[f1271,f1238]) ).
fof(f1828,definition,
( spl0_48
<=> ! [X2,X3] : ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f1829,plain,
( ! [X2,X3] : ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X2,X3)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1831,definition,
( spl0_49
<=> ! [X0,X1] : ~ accept_team(christiansufferterrahumanitarianorganization,X0,towna,X1) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f1832,plain,
( ! [X0,X1] : ~ accept_team(christiansufferterrahumanitarianorganization,X0,towna,X1)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f1834,definition,
( spl0_50
<=> accept_number(christiansufferterrahumanitarianorganization,n5) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f1836,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,n5)
| spl0_50 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1837,plain,
( spl0_48
| spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1686,f1834,f1831,f1828]) ).
fof(f1879,plain,
( $false
| ~ spl0_49 ),
inference(resolution,[],[f1832,f728]) ).
fof(f1880,plain,
~ spl0_49,
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1926,plain,
( $false
| ~ spl0_48 ),
inference(resolution,[],[f1829,f795]) ).
fof(f1927,plain,
~ spl0_48,
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1933,plain,
( ! [X0,X1] : ~ accept_team(christiansufferterrahumanitarianorganization,X0,X1,n5)
| spl0_50 ),
inference(resolution,[],[f1836,f615]) ).
fof(f1944,plain,
( $false
| spl0_50 ),
inference(resolution,[],[f1933,f792]) ).
fof(f1946,plain,
spl0_50,
inference(avatar_contradiction_clause,[],[f1944]) ).
cnf(s34,plain,
( spl0_48
| spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s55,plain,
~ spl0_49,
inference(sat_conversion,[],[f1880]) ).
cnf(s58,plain,
~ spl0_48,
inference(sat_conversion,[],[f1927]) ).
cnf(s61,plain,
spl0_50,
inference(sat_conversion,[],[f1946]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s34,s61,s55,s58]) ).
fof(f1947,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:08:30 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.05/1.34 % (3358987)Detected formulas, will run a generic FOF schedule.
% 4.05/1.34 % (3358996)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=297598905:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.05/1.34 % (3358996)Refutation not found, incomplete strategy
% 4.05/1.34 % (3358996)------------------------------
% 4.05/1.34 % (3358996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.34 % (3358996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.34 % (3358996)CaDiCaL version: 2.1.3
% 4.05/1.34 % (3358996)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.34 % (3358996)Time elapsed: 0.002 s
% 4.05/1.34 % (3358996)Peak memory usage: 87 MB
% 4.05/1.34 % (3358996)Instructions burned: 6 (million)
% 4.05/1.34 % (3358993)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=2017373324:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.05/1.34 % (3358995)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3780053611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.05/1.35 % (3358992)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=785102137:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.05/1.35 % (3358994)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=1601944718:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.05/1.35 % (3358995)Refutation not found, incomplete strategy
% 4.05/1.35 % (3358995)------------------------------
% 4.05/1.35 % (3358995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.35 % (3358995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.35 % (3358995)CaDiCaL version: 2.1.3
% 4.05/1.35 % (3358995)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.35 % (3358995)Time elapsed: 0.002 s
% 4.05/1.35 % (3358995)Peak memory usage: 87 MB
% 4.05/1.35 % (3358995)Instructions burned: 2 (million)
% 4.05/1.35 % (3358998)dis-21_1_sil=8000:lcm=predicate:random_seed=1411179234: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)
% 4.05/1.35 % (3358997)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4146930169:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.05/1.35 % (3358997)First to succeed.
% 4.05/1.35 % (3358997)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3358987"
% 4.05/1.35 % (3358998)Instruction limit reached!
% 4.05/1.35 % (3358998)------------------------------
% 4.05/1.35 % (3358998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.35 % (3358998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.35 % (3358998)CaDiCaL version: 2.1.3
% 4.05/1.35 % (3358998)Termination reason: Instruction limit
% 4.05/1.35 % (3358998)Termination phase: Saturation
% 4.05/1.35 % (3358998)Time elapsed: 0.067 s
% 4.05/1.35 % (3358998)Peak memory usage: 88 MB
% 4.05/1.35 % (3358998)Instructions burned: 129 (million)
% 4.05/1.35 % (3358996)------------------------------
% 4.05/1.35 % (3358996)------------------------------
% 4.05/1.35 % (3359007)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1647742874:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.05/1.35 % (3359006)lrs+10_1_sil=8000:sp=occurrence:random_seed=1045412704:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.05/1.35 % (3359007)Refutation not found, incomplete strategy
% 4.05/1.35 % (3359007)------------------------------
% 4.05/1.35 % (3359007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.35 % (3359007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.35 % (3359007)CaDiCaL version: 2.1.3
% 4.05/1.35 % (3359007)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.35 % (3359007)Time elapsed: 0.002 s
% 4.05/1.35 % (3359007)Peak memory usage: 88 MB
% 4.05/1.35 % (3359007)Instructions burned: 6 (million)
% 4.05/1.35 % (3359006)Refutation not found, incomplete strategy
% 4.05/1.35 % (3359006)------------------------------
% 4.05/1.35 % (3359006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.35 % (3359006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.35 % (3359006)CaDiCaL version: 2.1.3
% 4.05/1.35 % (3359006)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.35 % (3359006)Time elapsed: 0.004 s
% 4.05/1.35 % (3359006)Peak memory usage: 88 MB
% 4.05/1.35 % (3359006)Instructions burned: 6 (million)
% 4.05/1.35 % (3358995)------------------------------
% 4.05/1.35 % (3358995)------------------------------
% 4.05/1.35 % (3358997)Refutation found. Thanks to Tanya!
% 4.05/1.35 % SZS status Theorem for theBenchmark
% 4.05/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.35 % (3358997)------------------------------
% 4.05/1.35 % (3358997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.35 % (3358997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.35 % (3358997)CaDiCaL version: 2.1.3
% 4.05/1.35 % (3358997)Termination reason: Refutation
% 4.05/1.35 % (3358997)Time elapsed: 0.038 s
% 4.05/1.35 % (3358997)Peak memory usage: 90 MB
% 4.05/1.35 % (3358997)Instructions burned: 67 (million)
% 4.05/1.35 % (3358997)------------------------------
% 4.05/1.35 % (3358997)------------------------------
% 4.05/1.35 % (3358987)Success in time 0.493 s
% 4.05/1.35 % Vampire exiting
%------------------------------------------------------------------------------