%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG102+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 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 31 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 26 ( 8 ~; 4 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 3 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f41,conjecture,
? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xy ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f46,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(f102,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != xy ),
inference(ennf_transformation,[],[f42]) ).
fof(f194,plain,
xy = sdtasdt0(xc,sK20),
inference(cnf_transformation,[],[f46]) ).
fof(f195,plain,
aElement0(sK20),
inference(cnf_transformation,[],[f46]) ).
fof(f201,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f307,plain,
~ aElement0(sK20),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f310,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| aElement0(X0) ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f313,plain,
( xy != xy
| aElement0(sK20) ),
inference(superposition,[],[f310,f194]) ).
fof(f314,plain,
aElement0(sK20),
inference(trivial_inequality_removal,[],[f313]) ).
fof(f315,plain,
$false,
inference(forward_subsumption_resolution,[],[f314,f307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG102+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:15:21 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.44 % (655857)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (655863)% WARNING: option uhcvi not known.
% 0.12/0.44 % (655863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1883702744:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.44 % (655863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-655857-655863"...
% 0.12/0.44 % (655863)...printing done.
% 0.12/0.44 % (655862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1142922418_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.44 % (655864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2126636099:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.44 % (655868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=522352361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.44 % (655865)dis+10_1_sil=32000:sp=arity:random_seed=1048830314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.44 % (655863)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Theorem for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (655863)------------------------------
% 0.12/0.44 % (655863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.44 % (655863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.44 % (655863)CaDiCaL version: 2.1.3
% 0.12/0.44 % (655863)Termination reason: Refutation
% 0.12/0.44 % (655863)Time elapsed: 0.002 s
% 0.12/0.44 % (655863)Peak memory usage: 12 MB
% 0.12/0.44 % (655863)Instructions burned: 5 (million)
% 0.12/0.44 % (655857)Success in time 0.03 s
% 0.12/0.44 % Vampire exiting
%------------------------------------------------------------------------------