%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG070+1 : 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 : n017.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 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 20 unt; 2 def)
% Number of atoms : 92 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 36 ~; 36 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 20 ( 0 sgn 20 !; 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(f63,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(flattening,[],[f62]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f101]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f202,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f204,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f206,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f213,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f214,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f63]) ).
fof(f226,plain,
! [X0,X1] :
( ~ aScalar0(sdtpldt0(X0,X1))
| aScalar0(X0)
| aScalar0(X1) ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| aScalar0(X1) ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f272,plain,
~ aScalar0(xR),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f273,plain,
~ aScalar0(xP),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f274,plain,
~ aScalar0(xS),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f280,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f281,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f474,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f252,f281]) ).
fof(f477,plain,
( aScalar0(sdtpldt0(xR,xS))
| aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f474,f280]) ).
fof(f479,definition,
( spl2_5
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f481,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl2_6
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f485,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f487,plain,
( spl2_6
| spl2_5 ),
inference(avatar_split_clause,[],[f477,f479,f483]) ).
fof(f554,plain,
( aScalar0(xP)
| aScalar0(xP)
| ~ spl2_6 ),
inference(resolution,[],[f485,f226]) ).
fof(f555,plain,
( aScalar0(xP)
| ~ spl2_6 ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f556,plain,
( $false
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f555,f273]) ).
fof(f557,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f560,plain,
( aScalar0(xR)
| aScalar0(xS)
| ~ spl2_5 ),
inference(resolution,[],[f481,f226]) ).
fof(f561,plain,
( aScalar0(xS)
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f560,f272]) ).
fof(f562,plain,
( $false
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f561,f274]) ).
fof(f563,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f562]) ).
cnf(s18,plain,
( spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f487]) ).
cnf(s19,plain,
~ spl2_6,
inference(sat_conversion,[],[f557]) ).
cnf(s20,plain,
~ spl2_5,
inference(sat_conversion,[],[f563]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s18,s19,s20]) ).
fof(f564,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG070+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 23:03:21 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.48 % (3057666)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3057671)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3027297456_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3057672)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % (3057672)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1308173370:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3057673)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1224214473:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3057674)dis+10_1_sil=32000:sp=arity:random_seed=4102565212:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3057675)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2324833648:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3057676)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=346911010:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3057677)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=373058982:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (3057672) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3057666-3057672"...
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % (3057674) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3057666-3057674"...
% 0.17/0.48 % (3057672)...printing done.
% 0.17/0.48 % (3057674)...printing done.
% 0.17/0.48 % (3057672)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3057672)------------------------------
% 0.17/0.49 % (3057672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3057672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3057672)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3057672)Termination reason: Refutation
% 0.17/0.49 % (3057672)Time elapsed: 0.009 s
% 0.17/0.49 % (3057672)Peak memory usage: 12 MB
% 0.17/0.49 % (3057672)Instructions burned: 13 (million)
% 0.17/0.49 % (3057666)Success in time 0.052 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------