%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT088+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 : n008.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 3.32s 1.35s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 52 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 19 |; 8 &)
% ( 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 27 !; 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(f12,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(f34,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f36,axiom,
less(v200,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).
fof(f40,conjecture,
? [X0] :
( less(v200,X0)
& in_lopen(X0,v0,v400) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl509) ).
fof(f41,negated_conjecture,
~ ? [X0] :
( less(v200,X0)
& in_lopen(X0,v0,v400) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( less(X1,X0)
& leq(X0,X2) )
=> in_lopen(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f43,plain,
! [X0] :
( ~ less(v200,X0)
| ~ in_lopen(X0,v0,v400) ),
inference(ennf_transformation,[],[f41]) ).
fof(f47,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
| ~ less(X1,X0)
| ~ leq(X0,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f48,plain,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
| ~ less(X1,X0)
| ~ leq(X0,X2) ),
inference(flattening,[],[f47]) ).
fof(f59,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ~ in_lopen(X0,v0,v400)
| ~ less(v200,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
! [X2,X0,X1] :
( in_lopen(X0,X1,X2)
| ~ less(X1,X0)
| ~ leq(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,plain,
less(v0,v400),
inference(cnf_transformation,[],[f34]) ).
fof(f69,plain,
less(v200,v400),
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f79,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f76]) ).
fof(f130,plain,
! [X0] :
( ~ leq(X0,v400)
| ~ less(v0,X0)
| ~ less(v200,X0) ),
inference(resolution,[],[f66,f61]) ).
fof(f131,plain,
( ~ less(v0,v400)
| ~ less(v200,v400) ),
inference(resolution,[],[f130,f79]) ).
fof(f134,plain,
~ less(v200,v400),
inference(forward_subsumption_resolution,[],[f131,f67]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:35:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.32/1.35 % (1485631)Detected formulas, will run a generic FOF schedule.
% 3.32/1.35 % (1485636)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=788274304:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.32/1.35 % (1485640)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2879097305:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.32/1.35 % (1485637)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=2176160619:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.32/1.35 % (1485639)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2845448499:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.32/1.35 % (1485642)dis-21_1_sil=8000:lcm=predicate:random_seed=654840960: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)
% 3.32/1.35 % (1485638)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=2579778555:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.32/1.35 % (1485639)Refutation not found, incomplete strategy
% 3.32/1.35 % (1485639)------------------------------
% 3.32/1.35 % (1485639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.35 % (1485639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.35 % (1485639)CaDiCaL version: 2.1.3
% 3.32/1.35 % (1485639)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.35 % (1485639)Time elapsed: 0.001 s
% 3.32/1.35 % (1485639)Peak memory usage: 87 MB
% 3.32/1.35 % (1485640)First to succeed.
% 3.32/1.35 % (1485640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1485631"
% 3.32/1.35 % (1485641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2789062661:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.32/1.35 % (1485642)Also succeeded, but the first one will report.
% 3.32/1.35 % (1485641)Also succeeded, but the first one will report.
% 3.32/1.35 % (1485639)------------------------------
% 3.32/1.35 % (1485639)------------------------------
% 3.32/1.35 % (1485640)Refutation found. Thanks to Tanya!
% 3.32/1.35 % SZS status Theorem for theBenchmark
% 3.32/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.32/1.35 % (1485640)------------------------------
% 3.32/1.35 % (1485640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.35 % (1485640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.35 % (1485640)CaDiCaL version: 2.1.3
% 3.32/1.35 % (1485640)Termination reason: Refutation
% 3.32/1.35 % (1485640)Time elapsed: 0.003 s
% 3.32/1.35 % (1485640)Peak memory usage: 88 MB
% 3.32/1.35 % (1485640)Instructions burned: 2 (million)
% 3.32/1.35 % (1485640)------------------------------
% 3.32/1.35 % (1485640)------------------------------
% 3.32/1.35 % (1485631)Success in time 0.401 s
% 3.32/1.35 % Vampire exiting
%------------------------------------------------------------------------------