%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : AGT014+2 : 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 : 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 09:06:46 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 74 ( 32 ~; 27 |; 14 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 21 ( 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_7) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13) ).
fof(f923,conjecture,
? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_14) ).
fof(f924,negated_conjecture,
~ ? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f951,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(ennf_transformation,[],[f924]) ).
fof(f966,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(f967,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,[],[f966]) ).
fof(f1028,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,[],[f967]) ).
fof(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1972,plain,
! [X2,X0,X1] : accept_population(X0,X1,X2),
inference(cnf_transformation,[],[f951]) ).
fof(f3017,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,[],[f1028,f1972]) ).
fof(f3018,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,[],[f3017,f1972]) ).
fof(f3019,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f3018,f1972]) ).
fof(f3020,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0) ),
inference(forward_subsumption_resolution,[],[f3019,f1972]) ).
fof(f3021,plain,
! [X0] : accept_city(X0,coastvillage),
inference(forward_subsumption_resolution,[],[f3020,f1972]) ).
fof(f3022,plain,
$false,
inference(resolution,[],[f3021,f1331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:11:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.21/0.29 % (3360867)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (3360875)dis+10_1_sil=32000:sp=arity:random_seed=2456491028:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (3360873)% WARNING: option uhcvi not known.
% 0.21/0.29 % (3360872)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2623567405_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (3360873)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=897406423:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (3360874)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4067342717:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (3360876)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2072274283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (3360877)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3849285293:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (3360878)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2591843159:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (3360877) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3360867-3360877"...
% 0.21/0.29 % (3360875) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3360867-3360875"...
% 0.21/0.29 % (3360875)...printing done.
% 0.21/0.29 % (3360877)...printing done.
% 0.21/0.29 % (3360875)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3360875)------------------------------
% 0.21/0.29 % (3360875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3360875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3360875)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3360875)Termination reason: Refutation
% 0.21/0.29 % (3360875)Time elapsed: 0.019 s
% 0.21/0.29 % (3360875)Peak memory usage: 13 MB
% 0.21/0.29 % (3360875)Instructions burned: 71 (million)
% 0.21/0.29 % (3360867)Success in time 0.068 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------