%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:02:21 PM UTC 2026
% Result : Theorem 2.51s 1.21s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 16 ~; 9 |; 24 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 37 ( 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& leq(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_leq_trans) ).
fof(f11,axiom,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
<=> ( less(X1,X0)
& leq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen) ).
fof(f39,conjecture,
~ ? [X0,X1,X2] :
( in_lopen(X0,v0,v600)
& leq(v600,X0)
& in_lopen(X1,v0,v400)
& less(v400,X1)
& in_lopen(X2,v0,v200)
& leq(v200,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl432) ).
fof(f40,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( in_lopen(X0,v0,v600)
& leq(v600,X0)
& in_lopen(X1,v0,v400)
& less(v400,X1)
& in_lopen(X2,v0,v200)
& leq(v200,X2) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
? [X0,X1,X2] :
( in_lopen(X0,v0,v600)
& leq(v600,X0)
& in_lopen(X1,v0,v400)
& less(v400,X1)
& in_lopen(X2,v0,v200)
& leq(v200,X2) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
=> ( less(X1,X0)
& leq(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f47,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f47]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( less(X1,X0)
& leq(X0,X2) )
| ~ in_lopen(X0,X1,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f55,plain,
( in_lopen(sK0,v0,v600)
& leq(v600,sK0)
& in_lopen(sK1,v0,v400)
& less(v400,sK1)
& in_lopen(sK2,v0,v200)
& leq(v200,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f41]) ).
fof(f60,plain,
less(v400,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f61,plain,
in_lopen(sK1,v0,v400),
inference(cnf_transformation,[],[f55]) ).
fof(f65,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f91,plain,
leq(sK1,v400),
inference(resolution,[],[f74,f61]) ).
fof(f97,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ less(X0,X1) ),
inference(resolution,[],[f67,f65]) ).
fof(f166,plain,
~ less(v400,sK1),
inference(resolution,[],[f97,f91]) ).
fof(f169,plain,
$false,
inference(forward_subsumption_resolution,[],[f166,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:35:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 2.51/1.21 % (1190309)Detected formulas, will run a generic FOF schedule.
% 2.51/1.21 % (1190318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3643544773:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.51/1.21 % (1190318)First to succeed.
% 2.51/1.21 % (1190318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1190309"
% 2.51/1.21 % (1190319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1179938069:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.51/1.21 % (1190314)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=570606709:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.51/1.21 % (1190316)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=168798071:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.51/1.21 % (1190320)dis-21_1_sil=8000:lcm=predicate:random_seed=3209003631: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)
% 2.51/1.21 % (1190315)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=2116608614:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.51/1.21 % (1190317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1435529731:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.51/1.21 % (1190317)Also succeeded, but the first one will report.
% 2.51/1.21 % (1190319)Also succeeded, but the first one will report.
% 2.51/1.21 % (1190320)Also succeeded, but the first one will report.
% 2.51/1.21 % (1190318)Refutation found. Thanks to Tanya!
% 2.51/1.21 % SZS status Theorem for theBenchmark
% 2.51/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.21 % (1190318)------------------------------
% 2.51/1.21 % (1190318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.21 % (1190318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.21 % (1190318)CaDiCaL version: 2.1.3
% 2.51/1.21 % (1190318)Termination reason: Refutation
% 2.51/1.21 % (1190318)Time elapsed: 0.002 s
% 2.51/1.21 % (1190318)Peak memory usage: 88 MB
% 2.51/1.21 % (1190318)Instructions burned: 3 (million)
% 2.51/1.21 % (1190318)------------------------------
% 2.51/1.21 % (1190318)------------------------------
% 2.51/1.21 % (1190309)Success in time 0.281 s
% 2.51/1.21 % Vampire exiting
%------------------------------------------------------------------------------