%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 3.44s 1.46s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 9 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).
fof(f13,axiom,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
<=> ( less(X1,X0)
& less(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).
fof(f32,conjecture,
~ ? [X0] :
( in_open(X0,v0,v600)
& less(v600,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl423) ).
fof(f33,negated_conjecture,
~ ~ ? [X0] :
( in_open(X0,v0,v600)
& less(v600,X0) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
? [X0] :
( in_open(X0,v0,v600)
& less(v600,X0) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
=> ( less(X1,X0)
& less(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f38,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( less(X1,X0)
& less(X0,X2) )
| ~ in_open(X0,X1,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,plain,
( in_open(sK0,v0,v600)
& less(v600,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f34]) ).
fof(f63,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f74,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ in_open(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f91,plain,
less(v600,sK0),
inference(cnf_transformation,[],[f62]) ).
fof(f92,plain,
in_open(sK0,v0,v600),
inference(cnf_transformation,[],[f62]) ).
fof(f144,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(resolution,[],[f64,f63]) ).
fof(f147,plain,
~ less(sK0,v600),
inference(resolution,[],[f144,f91]) ).
fof(f161,plain,
! [X0] : ~ in_open(sK0,X0,v600),
inference(resolution,[],[f147,f74]) ).
fof(f174,plain,
$false,
inference(resolution,[],[f161,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:35:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.44/1.46 % (3636553)Detected formulas, will run a generic FOF schedule.
% 3.44/1.46 % (3636559)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=1716705995:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.44/1.46 % (3636563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2803255882:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.44/1.46 % (3636563)First to succeed.
% 3.44/1.46 % (3636563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3636553"
% 3.44/1.46 % (3636558)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=3566487784:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.44/1.46 % (3636562)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4121743179:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.44/1.46 % (3636560)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=3412488719:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.44/1.46 % (3636561)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2385722930:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.44/1.46 % (3636562)Also succeeded, but the first one will report.
% 3.44/1.46 % (3636561)Also succeeded, but the first one will report.
% 3.44/1.46 % (3636564)dis-21_1_sil=8000:lcm=predicate:random_seed=2978150736: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)
% 3.44/1.46 % (3636564)Also succeeded, but the first one will report.
% 3.44/1.46 % (3636563)Refutation found. Thanks to Tanya!
% 3.44/1.46 % SZS status Theorem for theBenchmark
% 3.44/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.46 % (3636563)------------------------------
% 3.44/1.46 % (3636563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.46 % (3636563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.46 % (3636563)CaDiCaL version: 2.1.3
% 3.44/1.46 % (3636563)Termination reason: Refutation
% 3.44/1.46 % (3636563)Time elapsed: 0.004 s
% 3.44/1.46 % (3636563)Peak memory usage: 89 MB
% 3.44/1.46 % (3636563)Instructions burned: 3 (million)
% 3.44/1.46 % (3636563)------------------------------
% 3.44/1.46 % (3636563)------------------------------
% 3.44/1.46 % (3636553)Success in time 0.402 s
% 3.44/1.46 % Vampire exiting
%------------------------------------------------------------------------------