%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG089+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 : n019.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 12:36:00 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 13 unt; 2 def)
% Number of atoms : 99 ( 1 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 87 ( 28 ~; 30 |; 15 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f26,axiom,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(f27,axiom,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f30,conjecture,
( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f31,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f33,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f34,plain,
! [X0] :
( aIdeal0(X0)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f66,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f67,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f113,plain,
! [X3,X0,X1] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f115,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f116,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f117,plain,
aElement0(xz),
inference(cnf_transformation,[],[f26]) ).
fof(f121,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f122,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f128,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f161,plain,
! [X3,X0,X1] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X3)
| aIdeal0(X0) ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f163,plain,
~ aIdeal0(xI),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f164,plain,
~ aIdeal0(xJ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f166,definition,
( spl8_1
<=> aElementOf0(sdtasdt0(xz,xk),xI) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f168,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| spl8_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl8_2
<=> aElementOf0(sdtasdt0(xz,xl),xJ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f172,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| spl8_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f128,f170,f166]) ).
fof(f371,plain,
( ~ aElementOf0(xk,xI)
| ~ aElement0(xz)
| aIdeal0(xI)
| spl8_1 ),
inference(resolution,[],[f161,f168]) ).
fof(f382,plain,
( ~ aElement0(xz)
| aIdeal0(xI)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f371,f122]) ).
fof(f383,plain,
( aIdeal0(xI)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f382,f117]) ).
fof(f384,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f383,f163]) ).
fof(f385,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f388,plain,
( ~ aElementOf0(xl,xJ)
| ~ aElement0(xz)
| aIdeal0(xJ)
| spl8_2 ),
inference(resolution,[],[f172,f161]) ).
fof(f389,plain,
( ~ aElement0(xz)
| aIdeal0(xJ)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f388,f121]) ).
fof(f390,plain,
( aIdeal0(xJ)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f389,f117]) ).
fof(f391,plain,
( $false
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f390,f164]) ).
fof(f392,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f391]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f173]) ).
cnf(s13,plain,
spl8_1,
inference(sat_conversion,[],[f385]) ).
cnf(s14,plain,
spl8_2,
inference(sat_conversion,[],[f392]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s14,s13]) ).
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG089+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:12:34 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.19/0.49 % (3515017)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (3515026)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=559745755:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (3515023)% WARNING: option uhcvi not known.
% 0.19/0.49 % (3515023)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=32068464:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (3515022)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1861483923_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (3515027)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3995264601:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (3515024)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=892024748:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (3515025)dis+10_1_sil=32000:sp=arity:random_seed=1373087188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (3515028)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1039673621:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % (3515023) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3515017-3515023"...
% 0.19/0.49 % (3515025) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3515017-3515025"...
% 0.19/0.49 % (3515023)...printing done.
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % (3515023)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (3515023)------------------------------
% 0.19/0.49 % (3515023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (3515023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (3515023)CaDiCaL version: 2.1.3
% 0.19/0.49 % (3515023)Termination reason: Refutation
% 0.19/0.49 % (3515023)Time elapsed: 0.007 s
% 0.19/0.49 % (3515023)Peak memory usage: 12 MB
% 0.19/0.49 % (3515023)Instructions burned: 9 (million)
% 0.19/0.49 % (3515017)Success in time 0.049 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------