%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 18 unt; 2 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 37 ~; 26 |; 8 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 25 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
<=> ( less(X1,X0)
& less(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_open) ).
fof(f35,axiom,
less(v0,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v200) ).
fof(f36,axiom,
less(v0,v500),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v500) ).
fof(f38,axiom,
less(v100,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v100_v200) ).
fof(f41,axiom,
less(v200,v500),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v500) ).
fof(f43,axiom,
less(v500,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v500_v800) ).
fof(f45,conjecture,
? [X0,X1] :
( less(v200,X0)
& in_open(X0,v0,v800)
& less(v100,X1)
& in_open(X1,v0,v500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl327) ).
fof(f46,negated_conjecture,
~ ? [X0,X1] :
( less(v200,X0)
& in_open(X0,v0,v800)
& less(v100,X1)
& in_open(X1,v0,v500) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( less(X1,X0)
& less(X0,X2) )
=> in_open(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f65,plain,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
| ~ less(X1,X0)
| ~ less(X0,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0,X1,X2] :
( in_open(X0,X1,X2)
| ~ less(X1,X0)
| ~ less(X0,X2) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( ~ less(v200,X0)
| ~ in_open(X0,v0,v800)
| ~ less(v100,X1)
| ~ in_open(X1,v0,v500) ),
inference(ennf_transformation,[],[f46]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ less(X1,X0)
| in_open(X0,X1,X2)
| ~ less(X0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f109,plain,
less(v0,v200),
inference(cnf_transformation,[],[f35]) ).
fof(f110,plain,
less(v0,v500),
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
less(v100,v200),
inference(cnf_transformation,[],[f38]) ).
fof(f115,plain,
less(v200,v500),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
less(v500,v800),
inference(cnf_transformation,[],[f43]) ).
fof(f128,plain,
! [X0,X1] :
( ~ less(v200,X0)
| ~ in_open(X0,v0,v800)
| ~ less(v100,X1)
| ~ in_open(X1,v0,v500) ),
inference(cnf_transformation,[],[f77]) ).
fof(f130,definition,
( spl1_1
<=> ! [X1] :
( ~ less(v100,X1)
| ~ in_open(X1,v0,v500) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f131,plain,
( ! [X1] :
( ~ less(v100,X1)
| ~ in_open(X1,v0,v500) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl1_2
<=> ! [X0] :
( ~ less(v200,X0)
| ~ in_open(X0,v0,v800) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f134,plain,
( ! [X0] :
( ~ less(v200,X0)
| ~ in_open(X0,v0,v800) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f128,f133,f130]) ).
fof(f136,plain,
( ~ in_open(v500,v0,v800)
| ~ spl1_2 ),
inference(resolution,[],[f115,f134]) ).
fof(f248,plain,
! [X0] :
( ~ less(v200,X0)
| in_open(v200,v0,X0) ),
inference(resolution,[],[f94,f109]) ).
fof(f249,plain,
! [X0] :
( ~ less(v500,X0)
| in_open(v500,v0,X0) ),
inference(resolution,[],[f94,f110]) ).
fof(f615,plain,
in_open(v200,v0,v500),
inference(resolution,[],[f248,f115]) ).
fof(f621,plain,
in_open(v500,v0,v800),
inference(resolution,[],[f249,f117]) ).
fof(f625,plain,
( $false
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f621,f136]) ).
fof(f626,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f627,plain,
( ~ in_open(v200,v0,v500)
| ~ spl1_1 ),
inference(resolution,[],[f131,f112]) ).
fof(f635,plain,
( $false
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f627,f615]) ).
fof(f636,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f635]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f135]) ).
cnf(s13,plain,
~ spl1_2,
inference(sat_conversion,[],[f626]) ).
cnf(s14,plain,
~ spl1_1,
inference(sat_conversion,[],[f636]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s13,s14]) ).
fof(f637,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 17:37:46 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (1891341)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (1891351)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1464995813:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (1891347)% WARNING: option uhcvi not known.
% 0.16/0.47 % (1891351) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1891341-1891351"...
% 0.16/0.47 % (1891347)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4276330050:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (1891346)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1094356656_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (1891348)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3376817138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (1891349)dis+10_1_sil=32000:sp=arity:random_seed=1443874706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (1891351)...printing done.
% 0.16/0.47 % (1891350)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=467692618:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (1891352)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2118141409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (1891351)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (1891351)------------------------------
% 0.16/0.47 % (1891351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (1891351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (1891351)CaDiCaL version: 2.1.3
% 0.16/0.47 % (1891351)Termination reason: Refutation
% 0.16/0.47 % (1891351)Time elapsed: 0.006 s
% 0.16/0.47 % (1891351)Peak memory usage: 12 MB
% 0.16/0.47 % (1891351)Instructions burned: 14 (million)
% 0.16/0.47 % (1891341)Success in time 0.038 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------