%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG095+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 : n018.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 12:36:01 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 2 def)
% Number of atoms : 74 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 24 ~; 23 |; 13 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(f31,conjecture,
? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f75,plain,
! [X0] :
( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sz10 != sdtpldt0(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f96,plain,
! [X0] :
( ( aElementOf0(sK13(X0),xI)
& aElementOf0(sK14(X0),xJ)
& sdtpldt0(sK13(X0),sK14(X0)) = X0
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f75]) ).
fof(f98,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
! [X0] :
( sdtpldt0(sK13(X0),sK14(X0)) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f166,plain,
! [X0] :
( aElementOf0(sK14(X0),xJ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f167,plain,
! [X0] :
( aElementOf0(sK13(X0),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f170,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f76]) ).
fof(f178,plain,
~ aElement0(sz10),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f241,plain,
! [X0] :
( aElementOf0(sK13(X0),xI)
| aElement0(X0) ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f242,plain,
! [X0] :
( aElementOf0(sK14(X0),xJ)
| aElement0(X0) ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f243,plain,
! [X0] :
( aElement0(X0)
| sdtpldt0(sK13(X0),sK14(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f449,plain,
sz10 = sdtpldt0(sK13(sz10),sK14(sz10)),
inference(resolution,[],[f243,f178]) ).
fof(f464,plain,
( sz10 != sz10
| ~ aElementOf0(sK14(sz10),xJ)
| ~ aElementOf0(sK13(sz10),xI) ),
inference(superposition,[],[f170,f449]) ).
fof(f465,plain,
( ~ aElementOf0(sK14(sz10),xJ)
| ~ aElementOf0(sK13(sz10),xI) ),
inference(trivial_inequality_removal,[],[f464]) ).
fof(f467,definition,
( spl15_7
<=> aElementOf0(sK13(sz10),xI) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f469,plain,
( ~ aElementOf0(sK13(sz10),xI)
| spl15_7 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl15_8
<=> aElementOf0(sK14(sz10),xJ) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f473,plain,
( ~ aElementOf0(sK14(sz10),xJ)
| spl15_8 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,plain,
( ~ spl15_7
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f465,f471,f467]) ).
fof(f475,plain,
( aElement0(sz10)
| spl15_7 ),
inference(resolution,[],[f469,f241]) ).
fof(f476,plain,
( $false
| spl15_7 ),
inference(resolution,[],[f475,f178]) ).
fof(f477,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f490,plain,
( aElement0(sz10)
| spl15_8 ),
inference(resolution,[],[f473,f242]) ).
fof(f491,plain,
( $false
| spl15_8 ),
inference(resolution,[],[f490,f178]) ).
fof(f492,plain,
spl15_8,
inference(avatar_contradiction_clause,[],[f491]) ).
cnf(s3,plain,
( ~ spl15_7
| ~ spl15_8 ),
inference(sat_conversion,[],[f474]) ).
cnf(s4,plain,
spl15_7,
inference(sat_conversion,[],[f477]) ).
cnf(s5,plain,
spl15_8,
inference(sat_conversion,[],[f492]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s5,s4]) ).
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:16:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2842621)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2842632)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3881947819:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (2842627)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2842632) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2842621-2842632"...
% 0.11/0.45 % (2842632)...printing done.
% 0.11/0.45 % (2842626)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=446258084_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (2842627)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=889032503:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (2842628)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1407508792:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (2842629)dis+10_1_sil=32000:sp=arity:random_seed=3385519525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (2842632)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (2842632)------------------------------
% 0.11/0.45 % (2842632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (2842632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (2842632)CaDiCaL version: 2.1.3
% 0.11/0.45 % (2842632)Termination reason: Refutation
% 0.11/0.45 % (2842632)Time elapsed: 0.006 s
% 0.11/0.45 % (2842632)Peak memory usage: 12 MB
% 0.11/0.45 % (2842632)Instructions burned: 14 (million)
% 0.11/0.45 % (2842621)Success in time 0.035 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------