%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG097+2 : 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 : n018.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 12:35:30 PM UTC 2026
% Result : Theorem 11.68s 2.63s
% Output : Refutation 13.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 106 ( 33 unt; 5 def)
% Number of atoms : 259 ( 56 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 258 ( 105 ~; 98 |; 33 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f28,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
fof(f34,conjecture,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f35,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f40,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) )
& aIdeal0(xJ) ),
inference(rectify,[],[f28]) ).
fof(f41,plain,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(flattening,[],[f35]) ).
fof(f42,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f50,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f53]) ).
fof(f60,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aIdeal0(xJ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f101,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f107,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f108,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f109,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f110,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f117,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f162,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f78]) ).
fof(f164,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f78]) ).
fof(f166,plain,
aSet0(xI),
inference(cnf_transformation,[],[f78]) ).
fof(f172,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f173,plain,
sz10 = sdtpldt0(xa,xb),
inference(cnf_transformation,[],[f31]) ).
fof(f174,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f175,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f178,plain,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnf_transformation,[],[f41]) ).
fof(f185,definition,
sF15 = smndt0(sz10),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f186,plain,
smndt0(sz10) = sF15,
inference(reorient_equations,[],[f185]) ).
fof(f187,definition,
sF16 = sdtpldt0(xb,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f188,plain,
sdtpldt0(xb,sF15) = sF16,
inference(reorient_equations,[],[f187]) ).
fof(f189,definition,
sF17 = sdtasdt0(xx,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f190,plain,
sdtasdt0(xx,sF16) = sF17,
inference(reorient_equations,[],[f189]) ).
fof(f191,plain,
~ aElementOf0(sF17,xI),
inference(definition_folding,[],[f178,f190,f188,f186]) ).
fof(f192,plain,
( aElementOf0(sF17,xI)
| ~ aElement0(xx)
| ~ aElementOf0(sF16,xI) ),
inference(superposition,[],[f164,f190]) ).
fof(f193,plain,
( ~ aElement0(xx)
| ~ aElementOf0(sF16,xI) ),
inference(forward_subsumption_resolution,[],[f192,f191]) ).
fof(f194,plain,
~ aElementOf0(sF16,xI),
inference(forward_subsumption_resolution,[],[f193,f172]) ).
fof(f224,definition,
( spl18_6
<=> aElement0(sF15) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f225,plain,
( aElement0(sF15)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ aElement0(sF15)
| spl18_6 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl18_7
<=> aElement0(xb) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f229,plain,
( aElement0(xb)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( ~ aElement0(xb)
| spl18_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f254,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f123,f174]) ).
fof(f255,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[],[f123,f175]) ).
fof(f256,plain,
aElement0(xa),
inference(forward_subsumption_resolution,[],[f255,f166]) ).
fof(f257,plain,
( ~ aSet0(xJ)
| spl18_7 ),
inference(forward_subsumption_resolution,[],[f254,f230]) ).
fof(f259,plain,
( $false
| spl18_7 ),
inference(forward_subsumption_resolution,[],[f257,f162]) ).
fof(f260,plain,
spl18_7,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f275,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xb) = sdtpldt0(X0,sdtpldt0(X1,xb)) )
| ~ spl18_7 ),
inference(resolution,[],[f229,f106]) ).
fof(f341,plain,
( aElement0(sF15)
| ~ aElement0(sz10) ),
inference(superposition,[],[f102,f186]) ).
fof(f342,plain,
( ~ aElement0(sz10)
| spl18_6 ),
inference(forward_subsumption_resolution,[],[f341,f226]) ).
fof(f343,plain,
( $false
| spl18_6 ),
inference(forward_subsumption_resolution,[],[f342,f101]) ).
fof(f344,plain,
spl18_6,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sF15) = sdtpldt0(X0,sdtpldt0(X1,sF15)) )
| ~ spl18_6 ),
inference(resolution,[],[f225,f106]) ).
fof(f394,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(xa,X0) ),
inference(resolution,[],[f111,f256]) ).
fof(f574,plain,
sz00 = sdtpldt0(smndt0(xa),xa),
inference(resolution,[],[f109,f256]) ).
fof(f650,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,xa),xb) = sdtpldt0(X0,sdtpldt0(xa,xb)) )
| ~ spl18_7 ),
inference(resolution,[],[f275,f256]) ).
fof(f655,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,xa),xb) )
| ~ spl18_7 ),
inference(forward_demodulation,[],[f650,f173]) ).
fof(f753,plain,
smndt0(xa) = sdtasdt0(xa,smndt0(sz10)),
inference(resolution,[],[f117,f256]) ).
fof(f764,plain,
smndt0(xa) = sdtasdt0(xa,sF15),
inference(forward_demodulation,[],[f753,f186]) ).
fof(f863,plain,
sz00 = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[],[f110,f101]) ).
fof(f878,plain,
sz00 = sdtpldt0(sz10,sF15),
inference(forward_demodulation,[],[f863,f186]) ).
fof(f936,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,sz10),sF15) = sdtpldt0(X0,sdtpldt0(sz10,sF15)) )
| ~ spl18_6 ),
inference(resolution,[],[f345,f101]) ).
fof(f953,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz10),sF15) )
| ~ spl18_6 ),
inference(forward_demodulation,[],[f936,f878]) ).
fof(f1362,plain,
( sdtasdt0(xa,sF15) = sdtasdt0(sF15,xa)
| ~ spl18_6 ),
inference(resolution,[],[f394,f225]) ).
fof(f1365,plain,
( smndt0(xa) = sdtasdt0(sF15,xa)
| ~ spl18_6 ),
inference(forward_demodulation,[],[f1362,f764]) ).
fof(f1371,plain,
( aElementOf0(smndt0(xa),xI)
| ~ aElement0(sF15)
| ~ aElementOf0(xa,xI)
| ~ spl18_6 ),
inference(superposition,[],[f164,f1365]) ).
fof(f1372,plain,
( aElementOf0(smndt0(xa),xI)
| ~ aElementOf0(xa,xI)
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f1371,f225]) ).
fof(f1375,plain,
( aElementOf0(smndt0(xa),xI)
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f1372,f175]) ).
fof(f1381,plain,
( aElement0(smndt0(xa))
| ~ aSet0(xI)
| ~ spl18_6 ),
inference(resolution,[],[f1375,f123]) ).
fof(f1382,plain,
( aElement0(smndt0(xa))
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f1381,f166]) ).
fof(f1385,plain,
( smndt0(xa) = sdtpldt0(smndt0(xa),sz00)
| ~ spl18_6 ),
inference(resolution,[],[f1382,f108]) ).
fof(f1683,plain,
( xb = sdtpldt0(sz00,xb)
| ~ spl18_7 ),
inference(resolution,[],[f107,f229]) ).
fof(f2403,plain,
( sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sdtpldt0(smndt0(xa),xa),xb)
| ~ spl18_6
| ~ spl18_7 ),
inference(resolution,[],[f655,f1382]) ).
fof(f2426,plain,
( sdtpldt0(sz00,xb) = sdtpldt0(smndt0(xa),sz10)
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_demodulation,[],[f2403,f574]) ).
fof(f2429,plain,
( xb = sdtpldt0(smndt0(xa),sz10)
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_demodulation,[],[f2426,f1683]) ).
fof(f5030,plain,
( sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sdtpldt0(smndt0(xa),sz10),sF15)
| ~ spl18_6 ),
inference(resolution,[],[f953,f1382]) ).
fof(f5076,plain,
( sdtpldt0(xb,sF15) = sdtpldt0(smndt0(xa),sz00)
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_demodulation,[],[f5030,f2429]) ).
fof(f5085,plain,
( sdtpldt0(xb,sF15) = smndt0(xa)
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_demodulation,[],[f5076,f1385]) ).
fof(f5088,plain,
( sF16 = smndt0(xa)
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_demodulation,[],[f5085,f188]) ).
fof(f5091,plain,
( aElementOf0(sF16,xI)
| ~ spl18_6
| ~ spl18_7 ),
inference(superposition,[],[f1375,f5088]) ).
fof(f5099,plain,
( $false
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f5091,f194]) ).
fof(f5100,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f5099]) ).
cnf(s4,plain,
spl18_7,
inference(sat_conversion,[],[f260]) ).
cnf(s8,plain,
spl18_6,
inference(sat_conversion,[],[f344]) ).
cnf(s116,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(sat_conversion,[],[f5100]) ).
cnf(s124,plain,
~ spl18_7,
inference(rat,[],[s116,s8]) ).
cnf(s130,plain,
$false,
inference(rat,[],[s4,s124]) ).
fof(f5101,plain,
$false,
inference(avatar_sat_refutation,[],[s130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG097+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n018.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 23:16:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 11.68/2.63 % (2843033)Detected formulas, will run a generic FOF schedule.
% 11.68/2.63 % (2843040)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=4266970951:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.68/2.63 % (2843044)dis-21_1_sil=8000:lcm=predicate:random_seed=327285004: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)
% 11.68/2.63 % (2843039)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=2415654623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.68/2.63 % (2843042)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=884811198:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.68/2.63 % (2843041)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=740126837:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.68/2.63 % (2843038)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=3696066515:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.68/2.63 % (2843043)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2858067185:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.68/2.63 % (2843041)Instruction limit reached!
% 11.68/2.63 % (2843041)------------------------------
% 11.68/2.63 % (2843041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843041)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843041)Termination reason: Instruction limit
% 11.68/2.63 % (2843041)Termination phase: Saturation
% 11.68/2.63 % (2843041)Time elapsed: 0.072 s
% 11.68/2.63 % (2843041)Peak memory usage: 89 MB
% 11.68/2.63 % (2843041)Instructions burned: 109 (million)
% 11.68/2.63 % (2843042)Instruction limit reached!
% 11.68/2.63 % (2843042)------------------------------
% 11.68/2.63 % (2843042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843042)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843042)Termination reason: Instruction limit
% 11.68/2.63 % (2843042)Termination phase: Saturation
% 11.68/2.63 % (2843042)Time elapsed: 0.074 s
% 11.68/2.63 % (2843042)Peak memory usage: 88 MB
% 11.68/2.63 % (2843042)Instructions burned: 120 (million)
% 11.68/2.63 % (2843044)Instruction limit reached!
% 11.68/2.63 % (2843044)------------------------------
% 11.68/2.63 % (2843044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843044)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843044)Termination reason: Instruction limit
% 11.68/2.63 % (2843044)Termination phase: Saturation
% 11.68/2.63 % (2843044)Time elapsed: 0.074 s
% 11.68/2.63 % (2843044)Peak memory usage: 90 MB
% 11.68/2.63 % (2843044)Instructions burned: 130 (million)
% 11.68/2.63 % (2843043)Instruction limit reached!
% 11.68/2.63 % (2843043)------------------------------
% 11.68/2.63 % (2843043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843043)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843043)Termination reason: Instruction limit
% 11.68/2.63 % (2843043)Termination phase: Saturation
% 11.68/2.63 % (2843043)Time elapsed: 0.089 s
% 11.68/2.63 % (2843043)Peak memory usage: 90 MB
% 11.68/2.63 % (2843043)Instructions burned: 141 (million)
% 11.68/2.63 % (2843054)lrs+1011_1_sil=32000:sp=occurrence:random_seed=631158807:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.68/2.63 % (2843052)lrs+10_1_sil=8000:sp=occurrence:random_seed=2406552238:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.68/2.63 % (2843053)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3972623809:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.68/2.63 % (2843055)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=3701282098:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.68/2.63 % (2843053)Instruction limit reached!
% 11.68/2.63 % (2843053)------------------------------
% 11.68/2.63 % (2843053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843053)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843053)Termination reason: Instruction limit
% 11.68/2.63 % (2843053)Termination phase: Saturation
% 11.68/2.63 % (2843053)Time elapsed: 0.074 s
% 11.68/2.63 % (2843053)Peak memory usage: 92 MB
% 11.68/2.63 % (2843053)Instructions burned: 158 (million)
% 11.68/2.63 % (2843055)Instruction limit reached!
% 11.68/2.63 % (2843055)------------------------------
% 11.68/2.63 % (2843055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843055)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843055)Termination reason: Instruction limit
% 11.68/2.63 % (2843055)Termination phase: Saturation
% 11.68/2.63 % (2843055)Time elapsed: 0.116 s
% 11.68/2.63 % (2843055)Peak memory usage: 94 MB
% 11.68/2.63 % (2843055)Instructions burned: 249 (million)
% 11.68/2.63 % (2843052)Instruction limit reached!
% 11.68/2.63 % (2843052)------------------------------
% 11.68/2.63 % (2843052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843052)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843052)Termination reason: Instruction limit
% 11.68/2.63 % (2843052)Termination phase: Saturation
% 11.68/2.63 % (2843052)Time elapsed: 0.167 s
% 11.68/2.63 % (2843052)Peak memory usage: 93 MB
% 11.68/2.63 % (2843052)Instructions burned: 286 (million)
% 11.68/2.63 % (2843054)Instruction limit reached!
% 11.68/2.63 % (2843054)------------------------------
% 11.68/2.63 % (2843054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843054)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843054)Termination reason: Instruction limit
% 11.68/2.63 % (2843054)Termination phase: Saturation
% 11.68/2.63 % (2843054)Time elapsed: 0.200 s
% 11.68/2.63 % (2843054)Peak memory usage: 94 MB
% 11.68/2.63 % (2843054)Instructions burned: 326 (million)
% 11.68/2.63 % (2843060)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4128700992:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.68/2.63 % (2843061)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1719258449:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.68/2.63 % (2843062)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=329742132:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.68/2.63 % (2843063)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2645310116:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.68/2.63 % (2843062)Instruction limit reached!
% 11.68/2.63 % (2843062)------------------------------
% 11.68/2.63 % (2843062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843062)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843062)Termination reason: Instruction limit
% 11.68/2.63 % (2843062)Termination phase: Saturation
% 11.68/2.63 % (2843062)Time elapsed: 0.078 s
% 11.68/2.63 % (2843062)Peak memory usage: 91 MB
% 11.68/2.63 % (2843062)Instructions burned: 113 (million)
% 11.68/2.63 % (2843060)Instruction limit reached!
% 11.68/2.63 % (2843060)------------------------------
% 11.68/2.63 % (2843060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843060)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843060)Termination reason: Instruction limit
% 11.68/2.63 % (2843060)Termination phase: Saturation
% 11.68/2.63 % (2843060)Time elapsed: 0.175 s
% 11.68/2.63 % (2843060)Peak memory usage: 91 MB
% 11.68/2.63 % (2843060)Instructions burned: 295 (million)
% 11.68/2.63 % (2843063)Instruction limit reached!
% 11.68/2.63 % (2843063)------------------------------
% 11.68/2.63 % (2843063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843063)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843063)Termination reason: Instruction limit
% 11.68/2.63 % (2843063)Termination phase: Saturation
% 11.68/2.63 % (2843063)Time elapsed: 0.066 s
% 11.68/2.63 % (2843063)Peak memory usage: 89 MB
% 11.68/2.63 % (2843063)Instructions burned: 127 (million)
% 11.68/2.63 % (2843068)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2385190092:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.68/2.63 % (2843068)Refutation not found, incomplete strategy
% 11.68/2.63 % (2843068)------------------------------
% 11.68/2.63 % (2843068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843068)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843068)Termination reason: Refutation not found, incomplete strategy
% 11.68/2.63 % (2843068)Time elapsed: 0.002 s
% 11.68/2.63 % (2843068)Peak memory usage: 88 MB
% 11.68/2.63 % (2843068)Instructions burned: 1 (million)
% 11.68/2.63 % (2843069)lrs+10_1_sil=8000:sp=occurrence:random_seed=85281030:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.68/2.63 % (2843070)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=472614894:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.68/2.63 % (2843068)------------------------------
% 11.68/2.63 % (2843068)------------------------------
% 11.68/2.63 % (2843070)Instruction limit reached!
% 11.68/2.63 % (2843070)------------------------------
% 11.68/2.63 % (2843070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843070)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843070)Termination reason: Instruction limit
% 11.68/2.63 % (2843070)Termination phase: Saturation
% 11.68/2.63 % (2843070)Time elapsed: 0.268 s
% 11.68/2.63 % (2843070)Peak memory usage: 93 MB
% 11.68/2.63 % (2843070)Instructions burned: 437 (million)
% 11.68/2.63 % (2843074)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3610701334:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.68/2.63 % (2843075)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=377456945:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.68/2.63 % (2843075)Instruction limit reached!
% 11.68/2.63 % (2843075)------------------------------
% 11.68/2.63 % (2843075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843075)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843075)Termination reason: Instruction limit
% 11.68/2.63 % (2843075)Termination phase: Saturation
% 11.68/2.63 % (2843075)Time elapsed: 0.061 s
% 11.68/2.63 % (2843075)Peak memory usage: 91 MB
% 11.68/2.63 % (2843075)Instructions burned: 136 (million)
% 11.68/2.63 % (2843069)Instruction limit reached!
% 11.68/2.63 % (2843069)------------------------------
% 11.68/2.63 % (2843069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.63 % (2843069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.63 % (2843069)CaDiCaL version: 2.1.3
% 11.68/2.63 % (2843069)Termination reason: Instruction limit
% 11.68/2.63 % (2843069)Termination phase: Saturation
% 11.68/2.63 % (2843069)Time elapsed: 0.527 s
% 11.68/2.63 % (2843069)Peak memory usage: 102 MB
% 11.68/2.63 % (2843069)Instructions burned: 908 (million)
% 11.68/2.63 % (2843038)First to succeed.
% 11.68/2.63 % (2843038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2843033"
% 11.68/2.63 % (2843078)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3794657260:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 11.68/2.63 % (2843079)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=13259017:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 11.68/2.63 % (2843038)Refutation found. Thanks to Tanya!
% 11.68/2.63 % SZS status Theorem for theBenchmark
% 11.68/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 13.21/2.84 % (2843038)------------------------------
% 13.21/2.84 % (2843038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.84 % (2843038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.84 % (2843038)CaDiCaL version: 2.1.3
% 13.21/2.84 % (2843038)Termination reason: Refutation
% 13.21/2.84 % (2843038)Time elapsed: 1.346 s
% 13.21/2.84 % (2843038)Peak memory usage: 141 MB
% 13.21/2.84 % (2843038)Instructions burned: 2132 (million)
% 13.21/2.84 % (2843038)------------------------------
% 13.21/2.84 % (2843038)------------------------------
% 13.21/2.84 % (2843033)Success in time 1.784 s
% 13.21/2.84 % Vampire exiting
%------------------------------------------------------------------------------