%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:02:19 PM UTC 2026
% Result : Theorem 2.79s 1.36s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 20 ~; 14 |; 5 &)
% ( 0 <=>; 1 =>; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0,X1,X2] :
( ( leq(X1,X0)
& leq(X0,X2) )
=> completion_compatible(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',completion_compat) ).
fof(f37,axiom,
! [X0] : leq(ninf,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_inf_lb) ).
fof(f38,axiom,
! [X0] : leq(X0,nsup),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_sup_ub) ).
fof(f40,conjecture,
? [X0] :
( leq(ninf,X0)
& leq(X0,nsup)
& completion_compatible(X0,ninf,nsup) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown_sound_compatible) ).
fof(f41,negated_conjecture,
~ ? [X0] :
( leq(ninf,X0)
& leq(X0,nsup)
& completion_compatible(X0,ninf,nsup) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f69,plain,
! [X0,X1,X2] :
( completion_compatible(X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f70,plain,
! [X0,X1,X2] :
( completion_compatible(X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
! [X0] :
( ~ leq(ninf,X0)
| ~ leq(X0,nsup)
| ~ completion_compatible(X0,ninf,nsup) ),
inference(ennf_transformation,[],[f41]) ).
fof(f120,plain,
! [X2,X0,X1] :
( completion_compatible(X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f126,plain,
! [X0] : leq(ninf,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f127,plain,
! [X0] : leq(X0,nsup),
inference(cnf_transformation,[],[f38]) ).
fof(f129,plain,
! [X0] :
( ~ completion_compatible(X0,ninf,nsup)
| ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f210,plain,
! [X0] :
( ~ leq(ninf,X0)
| ~ leq(X0,nsup)
| ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(resolution,[],[f120,f129]) ).
fof(f211,plain,
! [X0] :
( ~ leq(ninf,X0)
| ~ leq(X0,nsup) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f212,plain,
! [X0] : ~ leq(X0,nsup),
inference(forward_subsumption_resolution,[],[f211,f126]) ).
fof(f213,plain,
$false,
inference(forward_subsumption_resolution,[],[f212,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:34:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.79/1.36 % (3634445)Detected formulas, will run a generic FOF schedule.
% 2.79/1.36 % (3634455)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3530942338:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.36 % (3634455)First to succeed.
% 2.79/1.36 % (3634455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3634445"
% 2.79/1.36 % (3634450)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=375133535:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.36 % (3634452)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=62541995:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.36 % (3634456)dis-21_1_sil=8000:lcm=predicate:random_seed=217844797: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)
% 2.79/1.36 % (3634451)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=3219504626:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.36 % (3634453)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3136491935:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.36 % (3634454)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=108850206:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.36 % (3634453)Also succeeded, but the first one will report.
% 2.79/1.36 % (3634454)Also succeeded, but the first one will report.
% 2.79/1.36 % (3634456)Also succeeded, but the first one will report.
% 2.79/1.36 % (3634455)Refutation found. Thanks to Tanya!
% 2.79/1.36 % SZS status Theorem for theBenchmark
% 2.79/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.36 % (3634455)------------------------------
% 2.79/1.36 % (3634455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (3634455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (3634455)CaDiCaL version: 2.1.3
% 2.79/1.36 % (3634455)Termination reason: Refutation
% 2.79/1.36 % (3634455)Time elapsed: 0.003 s
% 2.79/1.36 % (3634455)Peak memory usage: 89 MB
% 2.79/1.36 % (3634455)Instructions burned: 4 (million)
% 2.79/1.36 % (3634455)------------------------------
% 2.79/1.36 % (3634455)------------------------------
% 2.79/1.36 % (3634445)Success in time 0.311 s
% 2.79/1.36 % Vampire exiting
%------------------------------------------------------------------------------