%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG116+4 : 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 : n004.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 12:36:06 PM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 47 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 45 ( 15 ~; 8 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2456) ).
fof(f48,conjecture,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f63,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
inference(rectify,[],[f47]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f178,plain,
( aElement0(sK43)
& xk = sdtasdt0(xa,sK43)
& aElementOf0(xk,slsdtgt0(xa))
& aElement0(sK44)
& xl = sdtasdt0(xb,sK44)
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X0,sK43),skolemize(X1,sK44)],[f63]) ).
fof(f344,plain,
xu = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f178]) ).
fof(f346,plain,
xl = sdtasdt0(xb,sK44),
inference(cnf_transformation,[],[f178]) ).
fof(f347,plain,
aElement0(sK44),
inference(cnf_transformation,[],[f178]) ).
fof(f349,plain,
xk = sdtasdt0(xa,sK43),
inference(cnf_transformation,[],[f178]) ).
fof(f350,plain,
aElement0(sK43),
inference(cnf_transformation,[],[f178]) ).
fof(f351,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f431,plain,
! [X0] :
( xu != sdtpldt0(sdtasdt0(xa,X0),xl)
| ~ aElement0(sK44)
| ~ aElement0(X0) ),
inference(superposition,[],[f351,f346]) ).
fof(f432,plain,
! [X0] :
( xu != sdtpldt0(sdtasdt0(xa,X0),xl)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f431,f347]) ).
fof(f449,plain,
( xu != sdtpldt0(xk,xl)
| ~ aElement0(sK43) ),
inference(superposition,[],[f432,f349]) ).
fof(f450,plain,
~ aElement0(sK43),
inference(forward_subsumption_resolution,[],[f449,f344]) ).
fof(f451,plain,
$false,
inference(forward_subsumption_resolution,[],[f450,f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:20:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (3995115)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3995120)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=76856935_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (3995121)% WARNING: option uhcvi not known.
% 0.10/0.46 % (3995126)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1714620539:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3995122)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1966440956:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3995123)dis+10_1_sil=32000:sp=arity:random_seed=3188129306:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3995124)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=745289216:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3995125)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4245159941:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (3995121)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2114500452:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3995123) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3995115-3995123"...
% 0.10/0.46 % (3995123)...printing done.
% 0.10/0.46 % (3995125) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3995115-3995125"...
% 0.10/0.46 % (3995126) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3995115-3995126"...
% 0.10/0.46 % (3995122) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3995115-3995122"...
% 0.10/0.46 % (3995123)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3995123)------------------------------
% 0.10/0.46 % (3995123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3995123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3995123)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3995123)Termination reason: Refutation
% 0.10/0.46 % (3995123)Time elapsed: 0.007 s
% 0.10/0.46 % (3995123)Peak memory usage: 12 MB
% 0.10/0.46 % (3995123)Instructions burned: 10 (million)
% 0.10/0.46 % (3995115)Success in time 0.042 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------