%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM549+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 : n005.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 12:24:46 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 80 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 24 |; 16 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f67,conjecture,
? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f77,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f148,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f157,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f164,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f165,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f165]) ).
fof(f167,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f166]) ).
fof(f209,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f212,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| aElementOf0(sK4(X0),X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f256,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f299,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f307,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f319,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f326,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f328,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f329,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f157]) ).
fof(f362,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0) ),
inference(resolution,[],[f209,f328]) ).
fof(f363,plain,
! [X0] : ~ aElementOf0(X0,xQ),
inference(forward_subsumption_resolution,[],[f362,f329]) ).
fof(f427,plain,
sz00 = sbrdtbr0(slbdtrb0(sz00)),
inference(resolution,[],[f307,f256]) ).
fof(f429,plain,
sz00 = sbrdtbr0(slcrc0),
inference(forward_demodulation,[],[f427,f299]) ).
fof(f437,plain,
( slcrc0 = xQ
| aElementOf0(sK4(xQ),xQ) ),
inference(resolution,[],[f212,f328]) ).
fof(f438,plain,
slcrc0 = xQ,
inference(forward_subsumption_resolution,[],[f437,f363]) ).
fof(f451,plain,
xk = sbrdtbr0(slcrc0),
inference(superposition,[],[f326,f438]) ).
fof(f503,plain,
sz00 != sbrdtbr0(slcrc0),
inference(superposition,[],[f319,f451]) ).
fof(f515,plain,
$false,
inference(forward_subsumption_resolution,[],[f503,f429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM549+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:27:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.15/0.46 % (139796)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (139801)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3747075216_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (139802)% WARNING: option uhcvi not known.
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % (139802)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1466555547:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % (139803)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3254054948:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (139806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=568005379:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (139804)dis+10_1_sil=32000:sp=arity:random_seed=204531500:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (139805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2870246643:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (139807)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=249651142:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (139806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-139796-139806"...
% 0.15/0.46 % (139806)...printing done.
% 0.15/0.46 % (139805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-139796-139805"...
% 0.15/0.46 % (139806)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (139806)------------------------------
% 0.15/0.46 % (139806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (139806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (139806)CaDiCaL version: 2.1.3
% 0.15/0.46 % (139806)Termination reason: Refutation
% 0.15/0.46 % (139806)Time elapsed: 0.009 s
% 0.15/0.46 % (139806)Peak memory usage: 12 MB
% 0.15/0.46 % (139806)Instructions burned: 11 (million)
% 0.15/0.46 % (139796)Success in time 0.045 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------