%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:35:52 PM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 10 unt; 2 def)
% Number of atoms : 96 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 49 ~; 46 |; 3 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) = sz00 )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).
fof(f39,conjecture,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f68,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f93,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f94,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f93]) ).
fof(f99,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
& ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f112,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f153,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f155,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f157,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f99]) ).
fof(f163,definition,
( spl2_1
<=> sz00 = aDimensionOf0(xs) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f165,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f167,definition,
( spl2_2
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f168,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| spl2_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f157,f167,f163]) ).
fof(f171,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f158,f167]) ).
fof(f433,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| sz00 != sz00
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl2_1 ),
inference(superposition,[],[f153,f165]) ).
fof(f436,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f438,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f436,f155]) ).
fof(f471,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| ~ spl2_1 ),
inference(superposition,[],[f438,f165]) ).
fof(f472,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f473,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f472,f155]) ).
fof(f519,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl2_1
| spl2_2 ),
inference(superposition,[],[f168,f473]) ).
fof(f540,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_1
| spl2_2 ),
inference(resolution,[],[f519,f134]) ).
fof(f541,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f540,f112]) ).
fof(f542,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f541]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f170]) ).
cnf(s2,plain,
~ spl2_2,
inference(sat_conversion,[],[f171]) ).
cnf(s14,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f542]) ).
cnf(s15,plain,
~ spl2_1,
inference(rat,[],[s14,s2]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s2,s15]) ).
fof(f543,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:08:46 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 0.22/0.55 % (4074626)Will run a generic schedule for satisfiability detection.
% 0.22/0.55 % (4074631)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1805803430_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.55 % (4074632)% WARNING: option uhcvi not known.
% 0.22/0.55 % TRYING [1]
% 0.22/0.55 % TRYING [2]
% 0.22/0.55 % (4074637)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=100151078:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.55 % (4074635)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1390679464:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.55 % TRYING [3]
% 0.22/0.55 % (4074636)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3994429168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.55 % (4074633)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=63085695:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.55 % (4074634)dis+10_1_sil=32000:sp=arity:random_seed=664974355:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.55 % (4074632)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2493345915:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.55 % TRYING [4]
% 0.22/0.55 % (4074634) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4074626-4074634"...
% 0.22/0.55 % (4074634)...printing done.
% 0.22/0.55 % (4074632) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4074626-4074632"...
% 0.22/0.55 % (4074634)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (4074634)------------------------------
% 0.22/0.55 % (4074634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.55 % (4074634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.55 % (4074634)CaDiCaL version: 2.1.3
% 0.22/0.55 % (4074634)Termination reason: Refutation
% 0.22/0.55 % (4074634)Time elapsed: 0.020 s
% 0.22/0.55 % (4074634)Peak memory usage: 12 MB
% 0.22/0.55 % (4074634)Instructions burned: 16 (million)
% 0.22/0.55 % (4074626)Success in time 0.062 s
% 0.22/0.55 % Vampire exiting
%------------------------------------------------------------------------------