%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT005+2 : 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 : n019.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 09:06:32 AM UTC 2026
% Result : Theorem 0.17s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 43 ( 20 ~; 14 |; 8 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 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(f352,axiom,
accept_city(christiansufferterrahumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_83) ).
fof(f353,axiom,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_84) ).
fof(f435,axiom,
accept_number(christiansufferterrahumanitarianorganization,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_166) ).
fof(f923,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_5) ).
fof(f924,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(flattening,[],[f924]) ).
fof(f953,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(f954,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,[],[f953]) ).
fof(f955,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(cnf_transformation,[],[f925]) ).
fof(f989,plain,
accept_number(christiansufferterrahumanitarianorganization,n3),
inference(cnf_transformation,[],[f435]) ).
fof(f997,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(cnf_transformation,[],[f353]) ).
fof(f998,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(cnf_transformation,[],[f352]) ).
fof(f1045,plain,
! [X2,X3,X0,X1] :
( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) ),
inference(cnf_transformation,[],[f954]) ).
fof(f1619,plain,
( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
| ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
inference(resolution,[],[f1045,f955]) ).
fof(f1622,plain,
( ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
inference(forward_subsumption_resolution,[],[f1619,f998]) ).
fof(f1623,plain,
~ accept_number(christiansufferterrahumanitarianorganization,n3),
inference(forward_subsumption_resolution,[],[f1622,f997]) ).
fof(f1624,plain,
$false,
inference(forward_subsumption_resolution,[],[f1623,f989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n019.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 19:08:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.17/1.31 % (130454)Detected formulas, will run a generic FOF schedule.
% 0.17/1.31 % (130459)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=650502642:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.31 % (130464)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3993663728:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.31 % (130465)dis-21_1_sil=8000:lcm=predicate:random_seed=1078022895: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)
% 0.17/1.31 % (130461)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=2516229115:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.31 % (130460)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=2682282136:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.31 % (130462)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=682704815:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.31 % (130463)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2996260604:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.31 % (130462)Refutation not found, incomplete strategy
% 0.17/1.31 % (130462)------------------------------
% 0.17/1.31 % (130462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31 % (130462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31 % (130462)CaDiCaL version: 2.1.3
% 0.17/1.31 % (130462)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.31 % (130462)Time elapsed: 0.002 s
% 0.17/1.31 % (130462)Peak memory usage: 88 MB
% 0.17/1.31 % (130462)Instructions burned: 3 (million)
% 0.17/1.31 % (130463)First to succeed.
% 0.17/1.31 % (130463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-130454"
% 0.17/1.31 % (130464)Also succeeded, but the first one will report.
% 0.17/1.31 % (130465)Instruction limit reached!
% 0.17/1.31 % (130465)------------------------------
% 0.17/1.31 % (130465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31 % (130465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31 % (130465)CaDiCaL version: 2.1.3
% 0.17/1.31 % (130465)Termination reason: Instruction limit
% 0.17/1.31 % (130465)Termination phase: Saturation
% 0.17/1.31 % (130465)Time elapsed: 0.063 s
% 0.17/1.31 % (130465)Peak memory usage: 90 MB
% 0.17/1.31 % (130465)Instructions burned: 129 (million)
% 0.17/1.31 % (130473)lrs+10_1_sil=8000:sp=occurrence:random_seed=949162584:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.17/1.31 % (130462)------------------------------
% 0.17/1.31 % (130462)------------------------------
% 0.17/1.31 % (130473)Also succeeded, but the first one will report.
% 0.17/1.31 % (130463)Refutation found. Thanks to Tanya!
% 0.17/1.31 % SZS status Theorem for theBenchmark
% 0.17/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.31 % (130463)------------------------------
% 0.17/1.31 % (130463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31 % (130463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31 % (130463)CaDiCaL version: 2.1.3
% 0.17/1.31 % (130463)Termination reason: Refutation
% 0.17/1.31 % (130463)Time elapsed: 0.008 s
% 0.17/1.31 % (130463)Peak memory usage: 88 MB
% 0.17/1.31 % (130463)Instructions burned: 13 (million)
% 0.17/1.31 % (130463)------------------------------
% 0.17/1.31 % (130463)------------------------------
% 0.17/1.31 % (130454)Success in time 0.457 s
% 0.17/1.31 % Vampire exiting
%------------------------------------------------------------------------------