%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT087+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 3.39s 1.49s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 43 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 15 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
fof(f11,axiom,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
<=> ( less(X1,X0)
& leq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).
fof(f32,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
fof(f35,conjecture,
? [X0] : in_lopen(X0,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl500) ).
fof(f36,negated_conjecture,
~ ? [X0] : in_lopen(X0,v0,v600),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( less(X1,X0)
& leq(X0,X2) )
=> in_lopen(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f52,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
| ~ less(X1,X0)
| ~ leq(X0,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f53,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
| ~ less(X1,X0)
| ~ leq(X0,X2) ),
inference(flattening,[],[f52]) ).
fof(f64,plain,
! [X0] : ~ in_lopen(X0,v0,v600),
inference(ennf_transformation,[],[f36]) ).
fof(f65,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f66,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f71,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
less(v0,v600),
inference(cnf_transformation,[],[f32]) ).
fof(f98,plain,
! [X0] : ~ in_lopen(X0,v0,v600),
inference(cnf_transformation,[],[f64]) ).
fof(f99,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f71]) ).
fof(f148,plain,
! [X0,X1] :
( in_lopen(X1,X0,X1)
| ~ less(X0,X1) ),
inference(resolution,[],[f99,f78]) ).
fof(f182,plain,
~ less(v0,v600),
inference(resolution,[],[f148,f98]) ).
fof(f183,plain,
$false,
inference(forward_subsumption_resolution,[],[f182,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 % Computer : n020.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Sun Sep 27 17:36:05 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 3.39/1.49 % (3636979)Detected formulas, will run a generic FOF schedule.
% 3.39/1.49 % (3636988)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=1733836569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.39/1.49 % (3636991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3088169838:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.39/1.49 % (3636989)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1174060216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.39/1.49 % (3636987)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=1916367721:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.39/1.49 % (3636986)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=2220420262:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.39/1.49 % (3636990)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1702613546:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.39/1.49 % (3636989)Refutation not found, incomplete strategy
% 3.39/1.49 % (3636989)------------------------------
% 3.39/1.49 % (3636989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (3636989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (3636989)CaDiCaL version: 2.1.3
% 3.39/1.49 % (3636989)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.49 % (3636989)Time elapsed: 0.0000 s
% 3.39/1.49 % (3636989)Peak memory usage: 86 MB
% 3.39/1.49 % (3636991)First to succeed.
% 3.39/1.49 % (3636991)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3636979"
% 3.39/1.49 % (3636990)Also succeeded, but the first one will report.
% 3.39/1.49 % (3636992)dis-21_1_sil=8000:lcm=predicate:random_seed=1052426906: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)
% 3.39/1.49 % (3636992)Also succeeded, but the first one will report.
% 3.39/1.49 % (3636989)------------------------------
% 3.39/1.49 % (3636989)------------------------------
% 3.39/1.49 % (3636991)Refutation found. Thanks to Tanya!
% 3.39/1.49 % SZS status Theorem for theBenchmark
% 3.39/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.49 % (3636991)------------------------------
% 3.39/1.49 % (3636991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (3636991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (3636991)CaDiCaL version: 2.1.3
% 3.39/1.49 % (3636991)Termination reason: Refutation
% 3.39/1.49 % (3636991)Time elapsed: 0.004 s
% 3.39/1.49 % (3636991)Peak memory usage: 89 MB
% 3.39/1.49 % (3636991)Instructions burned: 3 (million)
% 3.39/1.49 % (3636991)------------------------------
% 3.39/1.49 % (3636991)------------------------------
% 3.39/1.49 % (3636979)Success in time 0.406 s
% 3.39/1.49 % Vampire exiting
%------------------------------------------------------------------------------