%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT080+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 : n007.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 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 14 unt; 1 def)
% Number of atoms : 125 ( 48 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 146 ( 58 ~; 17 |; 67 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 23 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(f10,axiom,
! [X0,X1,X2] :
( in_closed(X0,X1,X2)
<=> ( leq(X1,X0)
& leq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_closed) ).
fof(f73,axiom,
( v0 != v8
& v0 != v32
& v0 != v100
& v0 != v150
& v0 != v300
& v0 != v500
& v0 != v600
& v0 != v800
& v8 != v32
& v8 != v100
& v8 != v150
& v8 != v300
& v8 != v500
& v8 != v600
& v8 != v800
& v32 != v100
& v32 != v150
& v32 != v300
& v32 != v500
& v32 != v600
& v32 != v800
& v100 != v150
& v100 != v300
& v100 != v500
& v100 != v600
& v100 != v800
& v150 != v300
& v150 != v500
& v150 != v600
& v150 != v800
& v300 != v500
& v300 != v600
& v300 != v800
& v500 != v600
& v500 != v800
& v600 != v800 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f74,conjecture,
~ ? [X0,X1,X2,X3] :
( in_closed(X0,v600,v600)
& in_closed(X0,v800,v800)
& less(v100,X1)
& in_open(X1,v0,v500)
& leq(v8,X2)
& in_lopen(X2,v0,v32)
& in_lopen(X3,v0,v300)
& leq(v150,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl365) ).
fof(f75,negated_conjecture,
~ ~ ? [X0,X1,X2,X3] :
( in_closed(X0,v600,v600)
& in_closed(X0,v800,v800)
& less(v100,X1)
& in_open(X1,v0,v500)
& leq(v8,X2)
& in_lopen(X2,v0,v32)
& in_lopen(X3,v0,v300)
& leq(v150,X3) ),
inference(negated_conjecture,[status(cth)],[f74]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( in_closed(X0,v600,v600)
& in_closed(X0,v800,v800)
& less(v100,X1)
& in_open(X1,v0,v500)
& leq(v8,X2)
& in_lopen(X2,v0,v32)
& in_lopen(X3,v0,v300)
& leq(v150,X3) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( in_closed(X0,X1,X2)
=> ( leq(X1,X0)
& leq(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(flattening,[],[f91]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( leq(X1,X0)
& leq(X0,X2) )
| ~ in_closed(X0,X1,X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f115,plain,
( in_closed(sK0,v600,v600)
& in_closed(sK0,v800,v800)
& less(v100,sK1)
& in_open(sK1,v0,v500)
& leq(v8,sK2)
& in_lopen(sK2,v0,v32)
& in_lopen(sK3,v0,v300)
& leq(v150,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f76]) ).
fof(f122,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ in_closed(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ in_closed(X0,X1,X2)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f182,plain,
v600 != v800,
inference(cnf_transformation,[],[f73]) ).
fof(f224,plain,
in_closed(sK0,v800,v800),
inference(cnf_transformation,[],[f115]) ).
fof(f225,plain,
in_closed(sK0,v600,v600),
inference(cnf_transformation,[],[f115]) ).
fof(f264,plain,
leq(sK0,v800),
inference(resolution,[],[f127,f224]) ).
fof(f265,plain,
leq(sK0,v600),
inference(resolution,[],[f127,f225]) ).
fof(f266,plain,
leq(v800,sK0),
inference(resolution,[],[f128,f224]) ).
fof(f267,plain,
leq(v600,sK0),
inference(resolution,[],[f128,f225]) ).
fof(f355,definition,
( spl4_6
<=> v600 = sK0 ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f356,plain,
( v600 != sK0
| spl4_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( v600 = sK0
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f409,plain,
( v600 = sK0
| ~ leq(sK0,v600) ),
inference(resolution,[],[f122,f267]) ).
fof(f410,plain,
( v800 = sK0
| ~ leq(sK0,v800) ),
inference(resolution,[],[f122,f266]) ).
fof(f421,plain,
v800 = sK0,
inference(forward_subsumption_resolution,[],[f410,f264]) ).
fof(f438,plain,
( v600 = v800
| ~ spl4_6 ),
inference(forward_demodulation,[],[f421,f357]) ).
fof(f442,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f438,f182]) ).
fof(f443,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f446,plain,
( ~ leq(sK0,v600)
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f409,f356]) ).
fof(f453,plain,
( $false
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f446,f265]) ).
fof(f454,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f453]) ).
cnf(s14,plain,
~ spl4_6,
inference(sat_conversion,[],[f443]) ).
cnf(s18,plain,
spl4_6,
inference(sat_conversion,[],[f454]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s14,s18]) ).
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:32:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.46 % (1681845)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (1681852)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=600302284:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (1681851)% WARNING: option uhcvi not known.
% 0.17/0.46 % (1681850)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2770638662_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (1681854)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=661711817:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (1681851)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=68265773:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (1681853)dis+10_1_sil=32000:sp=arity:random_seed=731711152:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (1681856)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2707668497:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (1681855)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=926736615:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % Detected minimum model sizes of [9]
% 0.17/0.46 % Detected maximum model sizes of [max]
% 0.17/0.46 % TRYING [9]
% 0.17/0.46 % (1681855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1681845-1681855"...
% 0.17/0.46 % (1681854) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1681845-1681854"...
% 0.17/0.46 % (1681853) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1681845-1681853"...
% 0.17/0.46 % (1681855)...printing done.
% 0.17/0.46 % (1681854)...printing done.
% 0.17/0.46 % (1681855)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1681855)------------------------------
% 0.17/0.47 % (1681855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1681855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1681855)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1681855)Termination reason: Refutation
% 0.17/0.47 % (1681855)Time elapsed: 0.006 s
% 0.17/0.47 % (1681855)Peak memory usage: 12 MB
% 0.17/0.47 % (1681855)Instructions burned: 8 (million)
% 0.17/0.47 % (1681845)Success in time 0.044 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------