%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT092+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 12:02:22 PM UTC 2026
% Result : Theorem 2.63s 1.35s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 81 ( 43 ~; 31 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).
fof(f6,axiom,
! [X0,X1] :
( less(X0,X1)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( ( leq(X2,X0)
& leq(X0,X3)
& less(X0,X1)
& leq(X1,X3) )
=> completion_conflict(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sharpness_conflict) ).
fof(f38,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f39,axiom,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
fof(f40,axiom,
less(v800,v1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v800_v1200) ).
fof(f42,conjecture,
completion_conflict(v400,v800,v0,v1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl633) ).
fof(f43,negated_conjecture,
~ completion_conflict(v400,v800,v0,v1200),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f44,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(flattening,[],[f43]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( completion_conflict(X0,X1,X2,X3)
| ~ leq(X2,X0)
| ~ leq(X0,X3)
| ~ less(X0,X1)
| ~ leq(X1,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( completion_conflict(X0,X1,X2,X3)
| ~ leq(X2,X0)
| ~ leq(X0,X3)
| ~ less(X0,X1)
| ~ leq(X1,X3) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f54,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f66,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(cnf_transformation,[],[f44]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( completion_conflict(X0,X1,X2,X3)
| ~ leq(X2,X0)
| ~ leq(X0,X3)
| ~ less(X0,X1)
| ~ leq(X1,X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f75,plain,
less(v0,v400),
inference(cnf_transformation,[],[f38]) ).
fof(f76,plain,
less(v400,v800),
inference(cnf_transformation,[],[f39]) ).
fof(f77,plain,
less(v800,v1200),
inference(cnf_transformation,[],[f40]) ).
fof(f78,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f83,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f141,plain,
( ~ leq(v0,v400)
| ~ leq(v400,v1200)
| ~ less(v400,v800)
| ~ leq(v800,v1200) ),
inference(resolution,[],[f67,f66]) ).
fof(f142,plain,
( ~ leq(v800,v1200)
| ~ leq(v400,v1200)
| ~ leq(v0,v400) ),
inference(forward_subsumption_resolution,[],[f141,f76]) ).
fof(f144,plain,
( ~ leq(v400,v1200)
| ~ leq(v0,v400)
| ~ less(v800,v1200) ),
inference(resolution,[],[f142,f83]) ).
fof(f145,plain,
( ~ leq(v400,v1200)
| ~ leq(v0,v400) ),
inference(forward_subsumption_resolution,[],[f144,f77]) ).
fof(f147,plain,
( ~ leq(v0,v400)
| ~ less(v400,v1200) ),
inference(resolution,[],[f145,f83]) ).
fof(f149,plain,
( ~ less(v400,v1200)
| ~ less(v0,v400) ),
inference(resolution,[],[f147,f83]) ).
fof(f150,plain,
~ less(v400,v1200),
inference(forward_subsumption_resolution,[],[f149,f75]) ).
fof(f162,plain,
! [X0] :
( ~ less(v400,X0)
| ~ less(X0,v1200) ),
inference(resolution,[],[f150,f78]) ).
fof(f190,plain,
~ less(v800,v1200),
inference(resolution,[],[f162,f76]) ).
fof(f196,plain,
$false,
inference(forward_subsumption_resolution,[],[f190,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:37:19 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.63/1.35 % (3637850)Detected formulas, will run a generic FOF schedule.
% 2.63/1.35 % (3637859)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3159038358:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.63/1.35 % (3637859)First to succeed.
% 2.63/1.35 % (3637859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3637850"
% 2.63/1.35 % (3637857)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=744127134:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.63/1.35 % (3637855)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=4057507972:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.63/1.35 % (3637861)dis-21_1_sil=8000:lcm=predicate:random_seed=3119990668: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)
% 2.63/1.35 % (3637856)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=387141622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.63/1.35 % (3637858)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=905756756:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.63/1.35 % (3637860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=848548347:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.63/1.35 % (3637858)Refutation not found, incomplete strategy
% 2.63/1.35 % (3637858)------------------------------
% 2.63/1.35 % (3637858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (3637858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (3637858)CaDiCaL version: 2.1.3
% 2.63/1.35 % (3637858)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.35 % (3637858)Time elapsed: 0.001 s
% 2.63/1.35 % (3637858)Peak memory usage: 87 MB
% 2.63/1.35 % (3637860)Also succeeded, but the first one will report.
% 2.63/1.35 % (3637861)Also succeeded, but the first one will report.
% 2.63/1.35 % (3637859)Refutation found. Thanks to Tanya!
% 2.63/1.35 % SZS status Theorem for theBenchmark
% 2.63/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.35 % (3637859)------------------------------
% 2.63/1.35 % (3637859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (3637859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (3637859)CaDiCaL version: 2.1.3
% 2.63/1.35 % (3637859)Termination reason: Refutation
% 2.63/1.35 % (3637859)Time elapsed: 0.002 s
% 2.63/1.35 % (3637859)Peak memory usage: 88 MB
% 2.63/1.35 % (3637859)Instructions burned: 4 (million)
% 2.63/1.35 % (3637859)------------------------------
% 2.63/1.35 % (3637859)------------------------------
% 2.63/1.35 % (3637850)Success in time 0.289 s
% 2.63/1.35 % Vampire exiting
%------------------------------------------------------------------------------