%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:05:41 PM UTC 2026
% Result : Theorem 3.56s 1.48s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
s_contains(s_g019,s_g013),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb18) ).
fof(f75,axiom,
s_contains(s_g013,s_MX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb74) ).
fof(f601,axiom,
! [X0,X1,X2] :
( ( s_contains(X0,X1)
& s_contains(X1,X2) )
=> s_contains(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
fof(f604,conjecture,
s_contains(s_g019,s_MX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexico_in_america_1) ).
fof(f605,negated_conjecture,
~ s_contains(s_g019,s_MX),
inference(negated_conjecture,[status(cth)],[f604]) ).
fof(f606,plain,
~ s_contains(s_g019,s_MX),
inference(flattening,[],[f605]) ).
fof(f607,plain,
! [X0,X1,X2] :
( s_contains(X0,X2)
| ~ s_contains(X0,X1)
| ~ s_contains(X1,X2) ),
inference(ennf_transformation,[],[f601]) ).
fof(f608,plain,
! [X0,X1,X2] :
( s_contains(X0,X2)
| ~ s_contains(X0,X1)
| ~ s_contains(X1,X2) ),
inference(flattening,[],[f607]) ).
fof(f629,plain,
s_contains(s_g019,s_g013),
inference(cnf_transformation,[],[f19]) ).
fof(f685,plain,
s_contains(s_g013,s_MX),
inference(cnf_transformation,[],[f75]) ).
fof(f1211,plain,
! [X2,X0,X1] :
( s_contains(X0,X2)
| ~ s_contains(X0,X1)
| ~ s_contains(X1,X2) ),
inference(cnf_transformation,[],[f608]) ).
fof(f1214,plain,
~ s_contains(s_g019,s_MX),
inference(cnf_transformation,[],[f606]) ).
fof(f1215,plain,
! [X0] :
( ~ s_contains(X0,s_MX)
| ~ s_contains(s_g019,X0) ),
inference(resolution,[],[f1211,f1214]) ).
fof(f1217,plain,
~ s_contains(s_g019,s_g013),
inference(resolution,[],[f1215,f685]) ).
fof(f1218,plain,
$false,
inference(forward_subsumption_resolution,[],[f1217,f629]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:43:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.56/1.48 % (3779445)Detected formulas, will run a generic FOF schedule.
% 3.56/1.48 % (3779488)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=2896338795:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.48 % (3779493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2279214293:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.48 % (3779494)dis-21_1_sil=8000:lcm=predicate:random_seed=1364002220: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)
% 3.56/1.48 % (3779491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4065706087:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.48 % (3779489)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=1025803746:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.48 % (3779490)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=1844044797:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.48 % (3779491)Refutation not found, incomplete strategy
% 3.56/1.48 % (3779491)------------------------------
% 3.56/1.48 % (3779491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (3779491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (3779491)CaDiCaL version: 2.1.3
% 3.56/1.48 % (3779491)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.48 % (3779491)Time elapsed: 0.002 s
% 3.56/1.48 % (3779491)Peak memory usage: 88 MB
% 3.56/1.48 % (3779491)Instructions burned: 1 (million)
% 3.56/1.48 % (3779493)First to succeed.
% 3.56/1.48 % (3779493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3779445"
% 3.56/1.48 % (3779494)Also succeeded, but the first one will report.
% 3.56/1.48 % (3779492)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3419054904:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.48 % (3779492)Also succeeded, but the first one will report.
% 3.56/1.48 % (3779491)------------------------------
% 3.56/1.48 % (3779491)------------------------------
% 3.56/1.48 % (3779493)Refutation found. Thanks to Tanya!
% 3.56/1.48 % SZS status Theorem for theBenchmark
% 3.56/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.48 % (3779493)------------------------------
% 3.56/1.48 % (3779493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (3779493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (3779493)CaDiCaL version: 2.1.3
% 3.56/1.48 % (3779493)Termination reason: Refutation
% 3.56/1.48 % (3779493)Time elapsed: 0.005 s
% 3.56/1.48 % (3779493)Peak memory usage: 88 MB
% 3.56/1.48 % (3779493)Instructions burned: 10 (million)
% 3.56/1.48 % (3779493)------------------------------
% 3.56/1.48 % (3779493)------------------------------
% 3.56/1.48 % (3779445)Success in time 0.433 s
% 3.56/1.48 % Vampire exiting
%------------------------------------------------------------------------------