%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:35:26 PM UTC 2026
% Result : Theorem 3.24s 1.60s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 40 unt; 0 def)
% Number of atoms : 118 ( 56 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 89 ( 37 ~; 37 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) != sz00 )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f58,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2733) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(flattening,[],[f60]) ).
fof(f70,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f71,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f70]) ).
fof(f126,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f127,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f129,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f130,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f131,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f133,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f135,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f137,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f139,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f141,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f143,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f145,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f147,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f149,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f161,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f58]) ).
fof(f162,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f61]) ).
fof(f164,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f386,plain,
! [X0] :
( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
| aDimensionOf0(X0) != aDimensionOf0(xs)
| sz00 = aDimensionOf0(xs)
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f164,f129]) ).
fof(f398,plain,
! [X0] :
( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
| aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(forward_subsumption_resolution,[],[f386,f130]) ).
fof(f401,plain,
! [X0] :
( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
| aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0) ),
inference(forward_subsumption_resolution,[],[f398,f126]) ).
fof(f421,plain,
xE = sdtasasdt0(xp,sziznziztdt0(xt)),
inference(superposition,[],[f143,f133]) ).
fof(f426,plain,
xE = sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),
inference(forward_demodulation,[],[f421,f131]) ).
fof(f690,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,xB)),sdtpldt0(xE,sdtasdt0(xA,xB))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(superposition,[],[f161,f149]) ).
fof(f699,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,xB)),sdtpldt0(xE,sdtasdt0(xA,xB))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,sdtasdt0(xB,xB)))),
inference(forward_demodulation,[],[f690,f147]) ).
fof(f706,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))),sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt))))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))))),
inference(forward_demodulation,[],[f699,f137]) ).
fof(f713,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f706,f129]) ).
fof(f720,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f713,f141]) ).
fof(f727,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f720,f133]) ).
fof(f734,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(xC,sdtasdt0(xA,xA)),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f727,f145]) ).
fof(f741,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(xC,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f734,f135]) ).
fof(f748,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f741,f139]) ).
fof(f755,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f748,f131]) ).
fof(f762,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_demodulation,[],[f755,f426]) ).
fof(f1340,plain,
( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
| aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xt) ),
inference(superposition,[],[f401,f129]) ).
fof(f1354,plain,
( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
| ~ aVector0(xt) ),
inference(trivial_inequality_removal,[],[f1340]) ).
fof(f1366,plain,
sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),
inference(forward_subsumption_resolution,[],[f1354,f126]) ).
fof(f2172,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))))
| aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xs) ),
inference(superposition,[],[f762,f401]) ).
fof(f2183,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))))
| ~ aVector0(xs) ),
inference(trivial_inequality_removal,[],[f2172]) ).
fof(f2185,plain,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
inference(forward_subsumption_resolution,[],[f2183,f127]) ).
fof(f2187,plain,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),sdtasasdt0(xt,xt))),
inference(forward_demodulation,[],[f2185,f1366]) ).
fof(f5094,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) != aDimensionOf0(xs)
| sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| ~ aVector0(xs) ),
inference(superposition,[],[f2187,f164]) ).
fof(f5098,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) != aDimensionOf0(xs)
| sz00 = aDimensionOf0(xs)
| ~ aVector0(xs) ),
inference(duplicate_literal_removal,[],[f5094]) ).
fof(f5099,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| sz00 = aDimensionOf0(xs)
| ~ aVector0(xs) ),
inference(trivial_inequality_removal,[],[f5098]) ).
fof(f5103,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs) ),
inference(forward_subsumption_resolution,[],[f5099,f162]) ).
fof(f5110,plain,
~ aVector0(xs),
inference(forward_subsumption_resolution,[],[f5103,f130]) ).
fof(f5112,plain,
$false,
inference(forward_subsumption_resolution,[],[f5110,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:09:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.24/1.60 % (2869568)Detected formulas, will run a generic FOF schedule.
% 3.24/1.60 % (2869577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1396720546:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.24/1.60 % (2869577)Instruction limit reached!
% 3.24/1.60 % (2869577)------------------------------
% 3.24/1.60 % (2869577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869577)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869577)Termination reason: Instruction limit
% 3.24/1.60 % (2869577)Termination phase: Saturation
% 3.24/1.60 % (2869577)Time elapsed: 0.035 s
% 3.24/1.60 % (2869577)Peak memory usage: 88 MB
% 3.24/1.60 % (2869577)Instructions burned: 120 (million)
% 3.24/1.60 % (2869575)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4262443224:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.24/1.60 % (2869574)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=500777594:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.24/1.60 % (2869573)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2506692017:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.24/1.60 % (2869579)dis-21_1_sil=8000:lcm=predicate:random_seed=2033551826:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.24/1.60 % (2869576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4261923520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.24/1.60 % (2869578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3280780060:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.24/1.60 % (2869579)Instruction limit reached!
% 3.24/1.60 % (2869579)------------------------------
% 3.24/1.60 % (2869579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869579)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869579)Termination reason: Instruction limit
% 3.24/1.60 % (2869579)Termination phase: Saturation
% 3.24/1.60 % (2869579)Time elapsed: 0.067 s
% 3.24/1.60 % (2869579)Peak memory usage: 89 MB
% 3.24/1.60 % (2869579)Instructions burned: 131 (million)
% 3.24/1.60 % (2869576)Instruction limit reached!
% 3.24/1.60 % (2869576)------------------------------
% 3.24/1.60 % (2869576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869576)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869576)Termination reason: Instruction limit
% 3.24/1.60 % (2869576)Termination phase: Saturation
% 3.24/1.60 % (2869576)Time elapsed: 0.069 s
% 3.24/1.60 % (2869576)Peak memory usage: 89 MB
% 3.24/1.60 % (2869576)Instructions burned: 110 (million)
% 3.24/1.60 % (2869578)Instruction limit reached!
% 3.24/1.60 % (2869578)------------------------------
% 3.24/1.60 % (2869578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869578)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869578)Termination reason: Instruction limit
% 3.24/1.60 % (2869578)Termination phase: Saturation
% 3.24/1.60 % (2869578)Time elapsed: 0.087 s
% 3.24/1.60 % (2869578)Peak memory usage: 90 MB
% 3.24/1.60 % (2869578)Instructions burned: 140 (million)
% 3.24/1.60 % (2869581)lrs+10_1_sil=8000:sp=occurrence:random_seed=1311975488:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.24/1.60 % (2869581)Instruction limit reached!
% 3.24/1.60 % (2869581)------------------------------
% 3.24/1.60 % (2869581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869581)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869581)Termination reason: Instruction limit
% 3.24/1.60 % (2869581)Termination phase: Saturation
% 3.24/1.60 % (2869581)Time elapsed: 0.094 s
% 3.24/1.60 % (2869581)Peak memory usage: 94 MB
% 3.24/1.60 % (2869581)Instructions burned: 288 (million)
% 3.24/1.60 % (2869588)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3308000314:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.24/1.60 % (2869589)lrs+1011_1_sil=32000:sp=occurrence:random_seed=853720708:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.24/1.60 % (2869590)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2966291985:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.24/1.60 % (2869588)Instruction limit reached!
% 3.24/1.60 % (2869588)------------------------------
% 3.24/1.60 % (2869588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869588)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869588)Termination reason: Instruction limit
% 3.24/1.60 % (2869588)Termination phase: Saturation
% 3.24/1.60 % (2869588)Time elapsed: 0.073 s
% 3.24/1.60 % (2869588)Peak memory usage: 90 MB
% 3.24/1.60 % (2869588)Instructions burned: 158 (million)
% 3.24/1.60 % (2869592)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3341517631:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.24/1.60 % (2869590)Instruction limit reached!
% 3.24/1.60 % (2869590)------------------------------
% 3.24/1.60 % (2869590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869590)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869590)Termination reason: Instruction limit
% 3.24/1.60 % (2869590)Termination phase: Saturation
% 3.24/1.60 % (2869590)Time elapsed: 0.130 s
% 3.24/1.60 % (2869590)Peak memory usage: 94 MB
% 3.24/1.60 % (2869590)Instructions burned: 249 (million)
% 3.24/1.60 % (2869589)Instruction limit reached!
% 3.24/1.60 % (2869589)------------------------------
% 3.24/1.60 % (2869589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/1.60 % (2869589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/1.60 % (2869589)CaDiCaL version: 2.1.3
% 3.24/1.60 % (2869589)Termination reason: Instruction limit
% 3.24/1.60 % (2869589)Termination phase: Saturation
% 3.24/1.60 % (2869589)Time elapsed: 0.182 s
% 3.24/1.60 % (2869589)Peak memory usage: 93 MB
% 3.24/1.60 % (2869589)Instructions burned: 325 (million)
% 3.24/1.60 % (2869592)First to succeed.
% 3.24/1.60 % (2869592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2869568"
% 3.24/1.60 % (2869596)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=389623099:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.24/1.60 % (2869598)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2981617011:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.24/1.60 % (2869599)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=706200537:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 3.24/1.60 % (2869592)Refutation found. Thanks to Tanya!
% 3.24/1.60 % SZS status Theorem for theBenchmark
% 3.24/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.81/1.79 % (2869592)------------------------------
% 5.81/1.79 % (2869592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.79 % (2869592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.79 % (2869592)CaDiCaL version: 2.1.3
% 5.81/1.79 % (2869592)Termination reason: Refutation
% 5.81/1.79 % (2869592)Time elapsed: 0.081 s
% 5.81/1.79 % (2869592)Peak memory usage: 90 MB
% 5.81/1.79 % (2869592)Instructions burned: 259 (million)
% 5.81/1.79 % (2869592)------------------------------
% 5.81/1.79 % (2869592)------------------------------
% 5.81/1.79 % (2869568)Success in time 0.75 s
% 5.81/1.79 % Vampire exiting
%------------------------------------------------------------------------------