%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG105+2 : 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 : n013.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 12:36:03 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 15 unt; 4 def)
% Number of atoms : 148 ( 28 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 153 ( 62 ~; 52 |; 33 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 24 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f39,axiom,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xy )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f40,axiom,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f41,axiom,
( aElement0(xv)
& sdtasdt0(xc,xv) = xy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2010) ).
fof(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2043) ).
fof(f44,conjecture,
( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f53,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( aElement0(X1)
& xy = sdtasdt0(xc,X1) )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
inference(rectify,[],[f39]) ).
fof(f54,plain,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xz,xx) = sdtasdt0(xc,X1) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(rectify,[],[f45]) ).
fof(f58,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f59,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f60]) ).
fof(f105,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy) )
& ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
| ( ! [X1] :
( ~ aElement0(X1)
| sdtasdt0(xz,xx) != sdtasdt0(xc,X1) )
& ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f142,plain,
( aElement0(sK22)
& xx = sdtasdt0(xc,sK22)
& aElementOf0(xx,slsdtgt0(xc))
& aElement0(sK23)
& xy = sdtasdt0(xc,sK23)
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f53]) ).
fof(f146,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f147,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f233,plain,
aElement0(xz),
inference(cnf_transformation,[],[f142]) ).
fof(f241,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f243,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f244,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f245,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f249,plain,
! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| ~ aElement0(X1)
| sdtasdt0(xz,xx) != sdtasdt0(xc,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f278,definition,
( spl24_5
<=> ! [X1] :
( ~ aElement0(X1)
| sdtasdt0(xz,xx) != sdtasdt0(xc,X1) ) ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
fof(f279,plain,
( ! [X1] :
( sdtasdt0(xz,xx) != sdtasdt0(xc,X1)
| ~ aElement0(X1) )
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f296,definition,
( spl24_9
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy) ) ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
fof(f297,plain,
( ! [X0] :
( sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| ~ aElement0(X0) )
| ~ spl24_9 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl24_5
| spl24_9 ),
inference(avatar_split_clause,[],[f249,f296,f278]) ).
fof(f304,definition,
( spl24_10
<=> aElement0(sdtpldt0(xu,xv)) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f306,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| spl24_10 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f426,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xx,xy)
| ~ aElement0(sdtpldt0(xu,xv))
| ~ spl24_9 ),
inference(superposition,[],[f297,f244]) ).
fof(f428,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ spl24_9 ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f429,plain,
( ~ spl24_10
| ~ spl24_9 ),
inference(avatar_split_clause,[],[f428,f296,f304]) ).
fof(f431,definition,
( spl24_21
<=> aElement0(sdtasdt0(xu,xz)) ),
introduced(definition,[new_symbols(definition,[spl24_21])],[avatar_definition]) ).
fof(f433,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| spl24_21 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f449,plain,
( ~ aElement0(xu)
| ~ aElement0(xv)
| spl24_10 ),
inference(resolution,[],[f146,f306]) ).
fof(f458,plain,
( ~ aElement0(xv)
| spl24_10 ),
inference(forward_subsumption_resolution,[],[f449,f241]) ).
fof(f459,plain,
( $false
| spl24_10 ),
inference(forward_subsumption_resolution,[],[f458,f243]) ).
fof(f460,plain,
spl24_10,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f462,plain,
( sdtasdt0(xz,xx) != sdtasdt0(xz,xx)
| ~ aElement0(sdtasdt0(xu,xz))
| ~ spl24_5 ),
inference(superposition,[],[f279,f245]) ).
fof(f463,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ spl24_5 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f464,plain,
( ~ spl24_21
| ~ spl24_5 ),
inference(avatar_split_clause,[],[f463,f278,f431]) ).
fof(f531,plain,
( ~ aElement0(xu)
| ~ aElement0(xz)
| spl24_21 ),
inference(resolution,[],[f147,f433]) ).
fof(f549,plain,
( ~ aElement0(xz)
| spl24_21 ),
inference(forward_subsumption_resolution,[],[f531,f241]) ).
fof(f550,plain,
( $false
| spl24_21 ),
inference(forward_subsumption_resolution,[],[f549,f233]) ).
fof(f551,plain,
spl24_21,
inference(avatar_contradiction_clause,[],[f550]) ).
cnf(s148,plain,
( spl24_5
| spl24_9 ),
inference(sat_conversion,[],[f298]) ).
cnf(s262,plain,
( ~ spl24_9
| ~ spl24_10 ),
inference(sat_conversion,[],[f429]) ).
cnf(s276,plain,
spl24_10,
inference(sat_conversion,[],[f460]) ).
cnf(s283,plain,
( ~ spl24_5
| ~ spl24_21 ),
inference(sat_conversion,[],[f464]) ).
cnf(s348,plain,
spl24_21,
inference(sat_conversion,[],[f551]) ).
cnf(s349,plain,
~ spl24_5,
inference(rat,[],[s283,s348]) ).
cnf(s351,plain,
~ spl24_9,
inference(rat,[],[s262,s276]) ).
cnf(s352,plain,
$false,
inference(rat,[],[s148,s351,s349]) ).
fof(f552,plain,
$false,
inference(avatar_sat_refutation,[],[s352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG105+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:17:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.48 % (657148)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (657156)dis+10_1_sil=32000:sp=arity:random_seed=2588576725:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (657154)% WARNING: option uhcvi not known.
% 0.16/0.48 % (657153)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2629433887_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (657154)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1423722708:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (657155)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2792482329:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (657159)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3633160511:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (657158)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3338493147:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (657157)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2511769838:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % (657155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-657148-657155"...
% 0.16/0.48 % (657159) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-657148-657159"...
% 0.16/0.48 % (657155)...printing done.
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (657156) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-657148-657156"...
% 0.16/0.48 % (657155)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (657155)------------------------------
% 0.16/0.48 % (657155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (657155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (657155)CaDiCaL version: 2.1.3
% 0.16/0.48 % (657155)Termination reason: Refutation
% 0.16/0.48 % (657155)Time elapsed: 0.012 s
% 0.16/0.48 % (657155)Peak memory usage: 13 MB
% 0.16/0.48 % (657155)Instructions burned: 17 (million)
% 0.16/0.48 % (657148)Success in time 0.047 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------