%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG123+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 : n016.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 12:36:07 PM UTC 2026
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 55 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 45 ( 15 ~; 14 |; 7 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f52,axiom,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2690) ).
fof(f53,axiom,
aElementOf0(xb,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2699) ).
fof(f54,axiom,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2718) ).
fof(f55,conjecture,
aElementOf0(xr,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ aElementOf0(xr,xI),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f58,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(f60,plain,
~ aElementOf0(xr,xI),
inference(flattening,[],[f56]) ).
fof(f92,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f214,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f235,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f52]) ).
fof(f236,plain,
aElementOf0(xb,xI),
inference(cnf_transformation,[],[f53]) ).
fof(f237,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf_transformation,[],[f54]) ).
fof(f238,plain,
~ aElementOf0(xr,xI),
inference(cnf_transformation,[],[f60]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ aIdeal0(X0)
| aElementOf0(X2,X0)
| ~ aElementOf0(sdtpldt0(X1,X2),X0)
| aElementOf0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f319,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f320,plain,
~ aElementOf0(xb,xI),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f321,plain,
aElementOf0(xr,xI),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f666,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X1,X0),xI)
| aElementOf0(X0,xI)
| aElementOf0(X1,xI) ),
inference(resolution,[],[f283,f214]) ).
fof(f3319,plain,
( ~ aElementOf0(xr,xI)
| aElementOf0(xb,xI)
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(superposition,[],[f666,f237]) ).
fof(f3385,plain,
( aElementOf0(xb,xI)
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(forward_subsumption_resolution,[],[f3319,f321]) ).
fof(f3405,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(forward_subsumption_resolution,[],[f3385,f320]) ).
fof(f3406,plain,
$false,
inference(forward_subsumption_resolution,[],[f3405,f319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG123+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:27:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.41 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
% 0.15/0.49 % (3107578)Will run a generic schedule for satisfiability detection.
% 0.15/0.49 % (3107584)% WARNING: option uhcvi not known.
% 0.15/0.49 % (3107584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3328883556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.49 % (3107583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=81964521_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.49 % (3107585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4264038417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.49 % (3107586)dis+10_1_sil=32000:sp=arity:random_seed=2835112512:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.49 % (3107588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2887152295:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.49 % (3107587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=751356166:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.49 % (3107589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1491588987:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.49 % TRYING [1]
% 0.15/0.49 % TRYING [2]
% 0.15/0.49 % TRYING [3]
% 0.15/0.49 % (3107584) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3107578-3107584"...
% 0.15/0.49 % (3107584)...printing done.
% 0.15/0.49 % TRYING [4]
% 0.15/0.49 % (3107584)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (3107584)------------------------------
% 0.15/0.49 % (3107584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49 % (3107584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49 % (3107584)CaDiCaL version: 2.1.3
% 0.15/0.49 % (3107584)Termination reason: Refutation
% 0.15/0.49 % (3107584)Time elapsed: 0.040 s
% 0.15/0.49 % (3107584)Peak memory usage: 13 MB
% 0.15/0.49 % (3107584)Instructions burned: 112 (million)
% 0.15/0.49 % (3107578)Success in time 0.071 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------