%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG070+2 : TPTP v9.3.1. Released v4.0.0.
% 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 12:35:56 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 15 unt; 2 def)
% Number of atoms : 80 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 31 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f100]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f164,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f222,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f223,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f68]) ).
fof(f1426,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f164,f223]) ).
fof(f1429,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f1426,f222]) ).
fof(f1432,definition,
( spl2_58
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
fof(f1434,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_58 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1436,definition,
( spl2_59
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
fof(f1438,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_59 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1439,plain,
( ~ spl2_58
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f1429,f1436,f1432]) ).
fof(f1440,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_58 ),
inference(resolution,[],[f1434,f138]) ).
fof(f1441,plain,
( ~ aScalar0(xP)
| spl2_58 ),
inference(duplicate_literal_removal,[],[f1440]) ).
fof(f1442,plain,
( $false
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f1441,f213]) ).
fof(f1443,plain,
spl2_58,
inference(avatar_contradiction_clause,[],[f1442]) ).
fof(f1444,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_59 ),
inference(resolution,[],[f1438,f138]) ).
fof(f1445,plain,
( ~ aScalar0(xS)
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f1444,f211]) ).
fof(f1446,plain,
( $false
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f1445,f215]) ).
fof(f1447,plain,
spl2_59,
inference(avatar_contradiction_clause,[],[f1446]) ).
cnf(s824,plain,
( ~ spl2_58
| ~ spl2_59 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s827,plain,
spl2_58,
inference(sat_conversion,[],[f1443]) ).
cnf(s831,plain,
spl2_59,
inference(sat_conversion,[],[f1447]) ).
cnf(s832,plain,
$false,
inference(rat,[],[s824,s831,s827]) ).
fof(f1448,plain,
$false,
inference(avatar_sat_refutation,[],[s832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG070+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n007.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 23:05:56 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 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
% 0.15/0.48 % (1877805)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (1877812)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3451051647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (1877811)% WARNING: option uhcvi not known.
% 0.15/0.48 % (1877813)dis+10_1_sil=32000:sp=arity:random_seed=1260055318:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (1877810)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1676349091_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (1877811)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1085704998:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (1877815)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=380988478:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (1877814)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1339828501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (1877816)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2932781083:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % (1877812) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1877805-1877812"...
% 0.15/0.48 % (1877813) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1877805-1877813"...
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % (1877812)...printing done.
% 0.15/0.48 % (1877811) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1877805-1877811"...
% 0.15/0.48 % (1877812)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (1877812)------------------------------
% 0.15/0.48 % (1877812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (1877812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (1877812)CaDiCaL version: 2.1.3
% 0.15/0.48 % (1877812)Termination reason: Refutation
% 0.15/0.48 % (1877812)Time elapsed: 0.017 s
% 0.15/0.48 % (1877812)Peak memory usage: 13 MB
% 0.15/0.48 % (1877812)Instructions burned: 42 (million)
% 0.15/0.48 % (1877805)Success in time 0.053 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------