%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT076+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 : n017.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 12:02:20 PM UTC 2026
% Result : Theorem 2.54s 1.34s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 46 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 15 |; 7 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& leq(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_leq_trans) ).
fof(f33,axiom,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
fof(f35,conjecture,
! [X0] :
( leq(v800,X0)
=> leq(v400,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl311) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( leq(v800,X0)
=> leq(v400,X0) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f47,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f47]) ).
fof(f61,plain,
? [X0] :
( ~ leq(v400,X0)
& leq(v800,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f63,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
( ~ leq(v400,sK0)
& leq(v800,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f61]) ).
fof(f70,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f91,plain,
less(v400,v800),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
leq(v800,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f96,plain,
~ leq(v400,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f146,plain,
~ less(v400,sK0),
inference(resolution,[],[f70,f96]) ).
fof(f167,plain,
! [X0] :
( less(X0,sK0)
| ~ less(X0,v800) ),
inference(resolution,[],[f74,f95]) ).
fof(f171,plain,
~ less(v400,v800),
inference(resolution,[],[f167,f146]) ).
fof(f172,plain,
$false,
inference(forward_subsumption_resolution,[],[f171,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:29:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.54/1.34 % (2826375)Detected formulas, will run a generic FOF schedule.
% 2.54/1.34 % (2826385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3847948676:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.34 % (2826385)First to succeed.
% 2.54/1.34 % (2826385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2826375"
% 2.54/1.34 % (2826383)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=60917014:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.34 % (2826382)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=2706342933:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.34 % (2826381)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=2400300035:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.34 % (2826380)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=1479246445:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.34 % (2826383)Also succeeded, but the first one will report.
% 2.54/1.34 % (2826384)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1974798952:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.34 % (2826384)Also succeeded, but the first one will report.
% 2.54/1.34 % (2826386)dis-21_1_sil=8000:lcm=predicate:random_seed=2117625280: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)
% 2.54/1.34 % (2826386)Also succeeded, but the first one will report.
% 2.54/1.34 % (2826385)Refutation found. Thanks to Tanya!
% 2.54/1.34 % SZS status Theorem for theBenchmark
% 2.54/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.35 % (2826385)------------------------------
% 2.54/1.35 % (2826385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.35 % (2826385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.35 % (2826385)CaDiCaL version: 2.1.3
% 2.54/1.35 % (2826385)Termination reason: Refutation
% 2.54/1.35 % (2826385)Time elapsed: 0.002 s
% 2.54/1.35 % (2826385)Peak memory usage: 89 MB
% 2.54/1.35 % (2826385)Instructions burned: 2 (million)
% 2.54/1.35 % (2826385)------------------------------
% 2.54/1.35 % (2826385)------------------------------
% 2.54/1.35 % (2826375)Success in time 0.278 s
% 2.54/1.35 % Vampire exiting
%------------------------------------------------------------------------------