%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG093+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 : n013.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 12:35:29 PM UTC 2026
% Result : Theorem 0.86s 1.13s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 58 ( 8 unt; 0 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 317 ( 117 ~; 95 |; 76 &)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 47 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,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__1150) ).
fof(f27,conjecture,
( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,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,[],[f26]) ).
fof(f30,plain,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(rectify,[],[f28]) ).
fof(f35,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,[],[f29]) ).
fof(f36,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f37,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) ),
inference(flattening,[],[f36]) ).
fof(f58,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f59,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ))
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X0),sdtasasdt0(xI,xJ))
& aElement0(X2) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) ) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
( ( ( ~ aElementOf0(sdtpldt0(sK0,sK1),sdtasasdt0(xI,xJ))
& aElementOf0(sK1,sdtasasdt0(xI,xJ)) )
| ( ~ aElementOf0(sdtasdt0(sK2,sK0),sdtasasdt0(xI,xJ))
& aElement0(sK2) ) )
& aElementOf0(sK0,sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f60]) ).
fof(f72,plain,
! [X3,X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f35]) ).
fof(f73,plain,
! [X3,X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f61]) ).
fof(f80,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f61]) ).
fof(f81,plain,
! [X3] :
( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f61]) ).
fof(f84,plain,
aElementOf0(sK0,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f61]) ).
fof(f85,plain,
( aElementOf0(sK1,sdtasasdt0(xI,xJ))
| aElement0(sK2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f86,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),sdtasasdt0(xI,xJ))
| aElementOf0(sK1,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f87,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),sdtasasdt0(xI,xJ))
| aElement0(sK2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f88,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK0,sK1),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f121,plain,
aElementOf0(sK0,xJ),
inference(resolution,[],[f79,f84]) ).
fof(f122,plain,
( aElementOf0(sK1,xJ)
| aElement0(sK2) ),
inference(resolution,[],[f79,f85]) ).
fof(f123,plain,
aElementOf0(sK0,xI),
inference(resolution,[],[f80,f84]) ).
fof(f124,plain,
( aElementOf0(sK1,xI)
| aElement0(sK2) ),
inference(resolution,[],[f80,f85]) ).
fof(f127,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xJ)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| aElement0(sK2) ),
inference(resolution,[],[f81,f87]) ).
fof(f128,plain,
( aElementOf0(sK1,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xJ) ),
inference(resolution,[],[f86,f81]) ).
fof(f129,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xJ) ),
inference(resolution,[],[f88,f81]) ).
fof(f130,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xI) ),
inference(resolution,[],[f128,f80]) ).
fof(f131,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xJ) ),
inference(resolution,[],[f128,f79]) ).
fof(f132,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ) ),
inference(resolution,[],[f129,f81]) ).
fof(f157,plain,
( ~ aElement0(sK2)
| ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ) ),
inference(resolution,[],[f72,f132]) ).
fof(f158,plain,
( ~ aElement0(sK2)
| ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xJ) ),
inference(resolution,[],[f72,f131]) ).
fof(f159,plain,
( ~ aElement0(sK2)
| ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xI) ),
inference(resolution,[],[f72,f130]) ).
fof(f162,plain,
( ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xI) ),
inference(forward_subsumption_resolution,[],[f159,f124]) ).
fof(f163,plain,
( ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xJ) ),
inference(forward_subsumption_resolution,[],[f158,f122]) ).
fof(f164,plain,
( ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ) ),
inference(forward_subsumption_resolution,[],[f157,f127]) ).
fof(f165,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xI) ),
inference(forward_subsumption_resolution,[],[f162,f121]) ).
fof(f166,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| aElementOf0(sK1,xJ) ),
inference(forward_subsumption_resolution,[],[f163,f121]) ).
fof(f167,plain,
( ~ aElementOf0(sdtasdt0(sK2,sK0),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ) ),
inference(forward_subsumption_resolution,[],[f164,f121]) ).
fof(f207,plain,
( aElementOf0(sK1,xI)
| ~ aElement0(sK2)
| ~ aElementOf0(sK0,xI) ),
inference(resolution,[],[f165,f76]) ).
fof(f208,plain,
( aElementOf0(sK1,xI)
| ~ aElementOf0(sK0,xI) ),
inference(forward_subsumption_resolution,[],[f207,f124]) ).
fof(f209,plain,
aElementOf0(sK1,xI),
inference(forward_subsumption_resolution,[],[f208,f123]) ).
fof(f233,plain,
( aElementOf0(sK1,xJ)
| ~ aElement0(sK2)
| ~ aElementOf0(sK0,xI) ),
inference(resolution,[],[f166,f76]) ).
fof(f234,plain,
( aElementOf0(sK1,xJ)
| ~ aElementOf0(sK0,xI) ),
inference(forward_subsumption_resolution,[],[f233,f122]) ).
fof(f235,plain,
aElementOf0(sK1,xJ),
inference(forward_subsumption_resolution,[],[f234,f123]) ).
fof(f370,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ)
| ~ aElement0(sK2)
| ~ aElementOf0(sK0,xI) ),
inference(resolution,[],[f167,f76]) ).
fof(f373,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xJ)
| ~ aElementOf0(sK0,xI) ),
inference(forward_subsumption_resolution,[],[f370,f127]) ).
fof(f375,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xJ)
| ~ aElementOf0(sdtpldt0(sK0,sK1),xI) ),
inference(forward_subsumption_resolution,[],[f373,f123]) ).
fof(f377,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sK1,xJ)
| ~ aElementOf0(sK0,xJ) ),
inference(resolution,[],[f375,f73]) ).
fof(f384,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK1),xI)
| ~ aElementOf0(sK0,xJ) ),
inference(forward_subsumption_resolution,[],[f377,f235]) ).
fof(f388,plain,
~ aElementOf0(sdtpldt0(sK0,sK1),xI),
inference(forward_subsumption_resolution,[],[f384,f121]) ).
fof(f402,plain,
( ~ aElementOf0(sK1,xI)
| ~ aElementOf0(sK0,xI) ),
inference(resolution,[],[f388,f77]) ).
fof(f409,plain,
~ aElementOf0(sK0,xI),
inference(forward_subsumption_resolution,[],[f402,f209]) ).
fof(f413,plain,
$false,
inference(forward_subsumption_resolution,[],[f409,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG093+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:13:07 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.86/1.13 % (654063)Detected formulas, will run a generic FOF schedule.
% 0.86/1.13 % (654072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3471970965:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.86/1.13 % (654072)First to succeed.
% 0.86/1.13 % (654072)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-654063"
% 0.86/1.13 % (654068)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=3210604549:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.86/1.13 % (654071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2881971488:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.86/1.13 % (654069)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=809376002:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.86/1.13 % (654070)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=482516289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.86/1.13 % (654074)dis-21_1_sil=8000:lcm=predicate:random_seed=3737366888: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)
% 0.86/1.13 % (654073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3876455967:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.86/1.13 % (654074)Also succeeded, but the first one will report.
% 0.86/1.13 % (654071)Also succeeded, but the first one will report.
% 0.86/1.13 % (654073)Also succeeded, but the first one will report.
% 0.86/1.13 % (654072)Refutation found. Thanks to Tanya!
% 0.86/1.13 % SZS status Theorem for theBenchmark
% 0.86/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.23 % (654072)------------------------------
% 2.47/1.23 % (654072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.23 % (654072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.23 % (654072)CaDiCaL version: 2.1.3
% 2.47/1.23 % (654072)Termination reason: Refutation
% 2.47/1.23 % (654072)Time elapsed: 0.005 s
% 2.47/1.23 % (654072)Peak memory usage: 88 MB
% 2.47/1.23 % (654072)Instructions burned: 12 (million)
% 2.47/1.23 % (654072)------------------------------
% 2.47/1.23 % (654072)------------------------------
% 2.47/1.23 % (654063)Success in time 0.276 s
% 2.47/1.23 % Vampire exiting
%------------------------------------------------------------------------------