%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:04:30 PM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 21 unt; 3 def)
% Number of atoms : 142 ( 29 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 164 ( 78 ~; 46 |; 34 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 55 ( 0 sgn 49 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',transitive) ).
fof(f4,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_def) ).
fof(f11,axiom,
! [X0,X1,X2] :
( in_lopen(X0,X1,X2)
<=> ( less(X1,X0)
& leq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
fof(f36,axiom,
less(v0,v32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v32) ).
fof(f37,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
fof(f38,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
fof(f41,axiom,
less(v16,v32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v32) ).
fof(f56,axiom,
( v0 != v16
& v0 != v32
& v0 != v400
& v0 != v600
& v0 != v800
& v0 != v1200
& v16 != v32
& v16 != v400
& v16 != v600
& v16 != v800
& v16 != v1200
& v32 != v400
& v32 != v600
& v32 != v800
& v32 != v1200
& v400 != v600
& v400 != v800
& v400 != v1200
& v600 != v800
& v600 != v1200
& v800 != v1200 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
fof(f57,conjecture,
? [X0,X1,X2] :
( in_lopen(X0,v0,v600)
& in_lopen(X1,v0,v400)
& in_lopen(X2,v0,v32)
& ~ ( in_lopen(X0,v0,v1200)
& in_lopen(X1,v0,v800)
& in_lopen(X2,v0,v16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl350) ).
fof(f58,negated_conjecture,
~ ? [X0,X1,X2] :
( in_lopen(X0,v0,v600)
& in_lopen(X1,v0,v400)
& in_lopen(X2,v0,v32)
& ~ ( in_lopen(X0,v0,v1200)
& in_lopen(X1,v0,v800)
& in_lopen(X2,v0,v16) ) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f66,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f67,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f66]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ in_lopen(X0,v0,v600)
| ~ in_lopen(X1,v0,v400)
| ~ in_lopen(X2,v0,v32)
| ( in_lopen(X0,v0,v1200)
& in_lopen(X1,v0,v800)
& in_lopen(X2,v0,v16) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f88,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ less(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f91,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1] :
( X0 != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f99,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f116,plain,
less(v0,v32),
inference(cnf_transformation,[],[f36]) ).
fof(f117,plain,
less(v0,v400),
inference(cnf_transformation,[],[f37]) ).
fof(f118,plain,
less(v0,v600),
inference(cnf_transformation,[],[f38]) ).
fof(f121,plain,
less(v16,v32),
inference(cnf_transformation,[],[f41]) ).
fof(f150,plain,
v16 != v32,
inference(cnf_transformation,[],[f56]) ).
fof(f157,plain,
! [X2,X0,X1] :
( in_lopen(X2,v0,v16)
| ~ in_lopen(X2,v0,v32)
| ~ in_lopen(X1,v0,v400)
| ~ in_lopen(X0,v0,v600) ),
inference(cnf_transformation,[],[f87]) ).
fof(f160,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f92]) ).
fof(f169,definition,
( spl0_1
<=> ! [X0] : ~ in_lopen(X0,v0,v600) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f170,plain,
( ! [X0] : ~ in_lopen(X0,v0,v600)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,definition,
( spl0_2
<=> ! [X1] : ~ in_lopen(X1,v0,v400) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f173,plain,
( ! [X1] : ~ in_lopen(X1,v0,v400)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,definition,
( spl0_3
<=> ! [X2] :
( in_lopen(X2,v0,v16)
| ~ in_lopen(X2,v0,v32) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f176,plain,
( ! [X2] :
( in_lopen(X2,v0,v16)
| ~ in_lopen(X2,v0,v32) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f177,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f157,f175,f172,f169]) ).
fof(f259,plain,
! [X0] :
( less(v16,X0)
| ~ less(v32,X0) ),
inference(resolution,[],[f89,f121]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ in_lopen(X0,X2,X1)
| X0 = X1
| less(X0,X1) ),
inference(resolution,[],[f91,f99]) ).
fof(f309,plain,
! [X0,X1] :
( in_lopen(X1,X0,X1)
| ~ less(X0,X1) ),
inference(resolution,[],[f101,f160]) ).
fof(f458,plain,
~ less(v32,v16),
inference(resolution,[],[f259,f88]) ).
fof(f549,plain,
( ~ less(v0,v400)
| ~ spl0_2 ),
inference(resolution,[],[f309,f173]) ).
fof(f554,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f549,f117]) ).
fof(f555,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f641,plain,
( ! [X0] :
( ~ in_lopen(X0,v0,v32)
| less(X0,v16)
| v16 = X0 )
| ~ spl0_3 ),
inference(resolution,[],[f271,f176]) ).
fof(f644,plain,
( less(v32,v16)
| v16 = v32
| ~ less(v0,v32)
| ~ spl0_3 ),
inference(resolution,[],[f641,f309]) ).
fof(f645,plain,
( v16 = v32
| ~ less(v0,v32)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f644,f458]) ).
fof(f646,plain,
( ~ less(v0,v32)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f645,f150]) ).
fof(f647,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f646,f116]) ).
fof(f648,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f649,plain,
( ~ less(v0,v600)
| ~ spl0_1 ),
inference(resolution,[],[f170,f309]) ).
fof(f650,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f649,f118]) ).
fof(f651,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f650]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f177]) ).
cnf(s14,plain,
~ spl0_2,
inference(sat_conversion,[],[f555]) ).
cnf(s15,plain,
~ spl0_3,
inference(sat_conversion,[],[f648]) ).
cnf(s16,plain,
~ spl0_1,
inference(sat_conversion,[],[f651]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s15,s14,s16]) ).
fof(f652,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 % Computer : n004.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 17:34:37 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.46 % (3774621)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (3774630)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3588281561:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.46 % (3774627)% WARNING: option uhcvi not known.
% 0.14/0.46 % (3774627)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=62151722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.46 % (3774630) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3774621-3774630"...
% 0.14/0.46 % (3774626)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=802459225_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.46 % (3774628)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2168794397:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.46 % (3774629)dis+10_1_sil=32000:sp=arity:random_seed=3850580132:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.46 % (3774632)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3147012151:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.46 % (3774630)...printing done.
% 0.14/0.46 % (3774631)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=497500613:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.46 % (3774630)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Theorem for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46 % (3774630)------------------------------
% 0.14/0.46 % (3774630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46 % (3774630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46 % (3774630)CaDiCaL version: 2.1.3
% 0.14/0.46 % (3774630)Termination reason: Refutation
% 0.14/0.46 % (3774630)Time elapsed: 0.007 s
% 0.14/0.46 % (3774630)Peak memory usage: 12 MB
% 0.14/0.46 % (3774630)Instructions burned: 20 (million)
% 0.14/0.46 % (3774621)Success in time 0.032 s
% 0.14/0.46 % Vampire exiting
%------------------------------------------------------------------------------