%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:06:35 AM UTC 2026
% Result : Theorem 3.61s 1.07s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 14 unt; 2 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 130 ( 61 ~; 49 |; 15 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',a1_6) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f268,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_248) ).
fof(f269,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_249) ).
fof(f556,conjecture,
? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_16) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,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(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f584,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(ennf_transformation,[],[f557]) ).
fof(f603,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f603]) ).
fof(f623,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f567]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f673,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f950,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f268]) ).
fof(f951,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f269]) ).
fof(f1238,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf_transformation,[],[f584]) ).
fof(f1246,plain,
! [X2,X3,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X2,X1)
| ~ accept_city(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X2,X3) ),
inference(resolution,[],[f624,f623]) ).
fof(f1384,plain,
! [X0] :
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,X0) ),
inference(resolution,[],[f1246,f950]) ).
fof(f1395,definition,
( spl0_3
<=> ! [X0] : ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1396,plain,
( ! [X0] : ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1398,definition,
( spl0_4
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1400,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_4 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1401,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1384,f1398,f1395]) ).
fof(f1441,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| spl0_4 ),
inference(resolution,[],[f1400,f673]) ).
fof(f1444,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1441,f1238]) ).
fof(f1445,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1444,f1238]) ).
fof(f1446,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1445,f1238]) ).
fof(f1447,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1446,f1238]) ).
fof(f1448,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1447,f1238]) ).
fof(f1449,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1541,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f1396,f951]) ).
fof(f1542,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1541]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s7,plain,
spl0_4,
inference(sat_conversion,[],[f1449]) ).
cnf(s8,plain,
~ spl0_3,
inference(sat_conversion,[],[f1542]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s7,s8]) ).
fof(f1543,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.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 19:11:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.61/1.07 % (3361306)Detected formulas, will run a generic FOF schedule.
% 3.61/1.07 % (3361317)dis-21_1_sil=8000:lcm=predicate:random_seed=2986943554: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)
% 3.61/1.07 % (3361315)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1183377490:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.61/1.07 % (3361311)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=2914112664:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.61/1.07 % (3361313)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=2092373661:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.61/1.07 % (3361314)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2955524977:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.61/1.07 % (3361312)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=2952720509:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.61/1.07 % (3361314)Refutation not found, incomplete strategy
% 3.61/1.07 % (3361314)------------------------------
% 3.61/1.07 % (3361314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.07 % (3361314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.07 % (3361314)CaDiCaL version: 2.1.3
% 3.61/1.07 % (3361314)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.07 % (3361314)Time elapsed: 0.002 s
% 3.61/1.07 % (3361314)Peak memory usage: 87 MB
% 3.61/1.07 % (3361314)Instructions burned: 2 (million)
% 3.61/1.07 % (3361315)Refutation not found, incomplete strategy
% 3.61/1.07 % (3361315)------------------------------
% 3.61/1.07 % (3361315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.07 % (3361315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.07 % (3361315)CaDiCaL version: 2.1.3
% 3.61/1.07 % (3361315)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.07 % (3361315)Time elapsed: 0.002 s
% 3.61/1.07 % (3361315)Peak memory usage: 87 MB
% 3.61/1.07 % (3361315)Instructions burned: 3 (million)
% 3.61/1.07 % (3361317)Instruction limit reached!
% 3.61/1.07 % (3361317)------------------------------
% 3.61/1.07 % (3361317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.07 % (3361317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.07 % (3361317)CaDiCaL version: 2.1.3
% 3.61/1.07 % (3361317)Termination reason: Instruction limit
% 3.61/1.07 % (3361317)Termination phase: Saturation
% 3.61/1.07 % (3361317)Time elapsed: 0.039 s
% 3.61/1.07 % (3361317)Peak memory usage: 91 MB
% 3.61/1.07 % (3361317)Instructions burned: 132 (million)
% 3.61/1.07 % (3361316)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3947787615:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.61/1.07 % (3361316)First to succeed.
% 3.61/1.07 % (3361316)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3361306"
% 3.61/1.07 % (3361325)lrs+10_1_sil=8000:sp=occurrence:random_seed=4090665892:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.61/1.07 % (3361325)Refutation not found, incomplete strategy
% 3.61/1.07 % (3361325)------------------------------
% 3.61/1.07 % (3361325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.07 % (3361325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.07 % (3361325)CaDiCaL version: 2.1.3
% 3.61/1.07 % (3361325)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.07 % (3361325)Time elapsed: 0.001 s
% 3.61/1.07 % (3361325)Peak memory usage: 88 MB
% 3.61/1.07 % (3361325)Instructions burned: 2 (million)
% 3.61/1.07 % (3361325)------------------------------
% 3.61/1.07 % (3361325)------------------------------
% 3.61/1.07 % (3361314)------------------------------
% 3.61/1.07 % (3361314)------------------------------
% 3.61/1.07 % (3361315)------------------------------
% 3.61/1.07 % (3361315)------------------------------
% 3.61/1.07 % (3361316)Refutation found. Thanks to Tanya!
% 3.61/1.07 % SZS status Theorem for theBenchmark
% 3.61/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.07 % (3361316)------------------------------
% 3.61/1.07 % (3361316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.07 % (3361316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.07 % (3361316)CaDiCaL version: 2.1.3
% 3.61/1.07 % (3361316)Termination reason: Refutation
% 3.61/1.07 % (3361316)Time elapsed: 0.035 s
% 3.61/1.07 % (3361316)Peak memory usage: 90 MB
% 3.61/1.07 % (3361316)Instructions burned: 64 (million)
% 3.61/1.07 % (3361316)------------------------------
% 3.61/1.07 % (3361316)------------------------------
% 3.61/1.07 % (3361306)Success in time 0.454 s
% 3.61/1.07 % Vampire exiting
%------------------------------------------------------------------------------