%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.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 09:06:47 AM UTC 2026
% Result : Theorem 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 45 ~; 32 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 38 ( 34 !; 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/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',a2_9) ).
fof(f268,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_248) ).
fof(f269,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',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(f593,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f594,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,[],[f569]) ).
fof(f643,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f16]) ).
fof(f920,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f268]) ).
fof(f921,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f269]) ).
fof(f1208,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf_transformation,[],[f584]) ).
fof(f1217,plain,
! [X2,X0,X1] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1) ),
inference(consistent_polarity_flipping,[],[f593]) ).
fof(f1218,plain,
! [X2,X0,X1] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1)
| accept_city(X0,X2) ),
inference(consistent_polarity_flipping,[],[f594]) ).
fof(f1272,plain,
! [X0] :
( ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75) ),
inference(consistent_polarity_flipping,[],[f643]) ).
fof(f1392,plain,
~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(consistent_polarity_flipping,[],[f920]) ).
fof(f1393,plain,
~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(consistent_polarity_flipping,[],[f921]) ).
fof(f1478,plain,
~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
inference(resolution,[],[f1217,f1393]) ).
fof(f1495,plain,
( accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1218,f1392]) ).
fof(f1498,plain,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(forward_subsumption_resolution,[],[f1495,f1478]) ).
fof(f1937,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(resolution,[],[f1272,f1208]) ).
fof(f1939,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1937,f1208]) ).
fof(f1940,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1939,f1208]) ).
fof(f1941,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1940,f1208]) ).
fof(f1942,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(forward_subsumption_resolution,[],[f1941,f1208]) ).
fof(f1943,plain,
$false,
inference(forward_subsumption_resolution,[],[f1942,f1498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:11:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.30 % (667019)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (667026)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2766449918:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (667025)% WARNING: option uhcvi not known.
% 0.18/0.30 % (667024)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3436656442_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (667027)dis+10_1_sil=32000:sp=arity:random_seed=2191862988:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (667025)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3741045965:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (667028)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3739104366:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % (667029)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1915015337:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % (667030)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=230368637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % (667025) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-667019-667025"...
% 0.18/0.30 % (667025)...printing done.
% 0.18/0.30 % (667025)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Theorem for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (667025)------------------------------
% 0.18/0.30 % (667025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (667025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (667025)CaDiCaL version: 2.1.3
% 0.18/0.30 % (667025)Termination reason: Refutation
% 0.18/0.30 % (667025)Time elapsed: 0.031 s
% 0.18/0.30 % (667025)Peak memory usage: 13 MB
% 0.18/0.30 % (667025)Instructions burned: 60 (million)
% 0.18/0.30 % (667019)Success in time 0.084 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------