%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM541+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:15:40 PM UTC 2026
% Result : Theorem 2.87s 1.32s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 10 unt; 1 def)
% Number of atoms : 265 ( 26 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 333 ( 143 ~; 132 |; 42 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f53,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1936) ).
fof(f54,conjecture,
( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f62,plain,
( ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& ~ aElementOf0(xm,slbdtrb0(xn))
& xm != xn
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
| ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f63,plain,
( ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& ~ aElementOf0(xm,slbdtrb0(xn))
& xm != xn
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
| ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn ) ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f67,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f68,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f67]) ).
fof(f72,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f73,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f85,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f99,definition,
( ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& ~ aElementOf0(xm,slbdtrb0(xn))
& xm != xn
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f100,plain,
( sP0
| ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn ) ) ),
inference(definition_folding,[],[f63,f99]) ).
fof(f101,plain,
( ( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& ~ aElementOf0(xm,slbdtrb0(xn))
& xm != xn
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
| ~ sP0 ),
inference(nnf_transformation,[],[f99]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f119,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f120,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f122,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f123,plain,
( xm != xn
| ~ sP0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f125,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sP0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP0
| xm = xn ),
inference(cnf_transformation,[],[f100]) ).
fof(f129,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f130,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f131,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f132,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f133,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f137,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f138,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f159,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f262,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sP0 ),
inference(resolution,[],[f130,f125]) ).
fof(f268,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sP0 ),
inference(forward_subsumption_resolution,[],[f262,f119]) ).
fof(f270,plain,
( sdtlseqdt0(xn,xm)
| ~ sP0 ),
inference(forward_subsumption_resolution,[],[f268,f120]) ).
fof(f277,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sP0 ),
inference(resolution,[],[f132,f129]) ).
fof(f282,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| sP0 ),
inference(forward_subsumption_resolution,[],[f277,f120]) ).
fof(f283,plain,
( ~ sdtlseqdt0(xm,xn)
| sP0 ),
inference(forward_subsumption_resolution,[],[f282,f119]) ).
fof(f284,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sP0 ),
inference(resolution,[],[f133,f122]) ).
fof(f299,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sP0 ),
inference(forward_subsumption_resolution,[],[f284,f120]) ).
fof(f301,plain,
( sdtlseqdt0(xm,xn)
| ~ sP0 ),
inference(forward_subsumption_resolution,[],[f299,f119]) ).
fof(f340,plain,
( ~ sdtlseqdt0(xm,xn)
| xm = xn
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sP0 ),
inference(resolution,[],[f137,f270]) ).
fof(f354,plain,
( ~ sdtlseqdt0(xm,xn)
| xm = xn
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f340,f283]) ).
fof(f364,plain,
( ~ sdtlseqdt0(xm,xn)
| xm = xn
| ~ aElementOf0(xn,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f354,f120]) ).
fof(f369,plain,
( ~ sdtlseqdt0(xm,xn)
| xm = xn ),
inference(forward_subsumption_resolution,[],[f364,f119]) ).
fof(f372,plain,
( xm = xn
| ~ sP0 ),
inference(resolution,[],[f369,f301]) ).
fof(f373,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f372,f123]) ).
fof(f442,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sP0 ),
inference(resolution,[],[f136,f283]) ).
fof(f448,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sP0 ),
inference(forward_subsumption_resolution,[],[f442,f120]) ).
fof(f454,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| sP0 ),
inference(forward_subsumption_resolution,[],[f448,f119]) ).
fof(f458,plain,
! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f454,f373]) ).
fof(f460,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[],[f458,f138]) ).
fof(f461,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[],[f458,f131]) ).
fof(f464,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f460]) ).
fof(f466,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f461,f159]) ).
fof(f467,plain,
~ sdtlseqdt0(xm,xn),
inference(forward_subsumption_resolution,[],[f464,f120]) ).
fof(f469,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),xn),
inference(forward_subsumption_resolution,[],[f466,f120]) ).
fof(f472,plain,
( sP0
| xm = xn ),
inference(resolution,[],[f469,f127]) ).
fof(f473,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[],[f469,f130]) ).
fof(f478,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f473,f119]) ).
fof(f479,plain,
xm = xn,
inference(forward_subsumption_resolution,[],[f472,f373]) ).
fof(f480,plain,
sdtlseqdt0(xn,xm),
inference(forward_subsumption_resolution,[],[f478,f120]) ).
fof(f510,plain,
~ sdtlseqdt0(xm,xm),
inference(superposition,[],[f467,f479]) ).
fof(f518,plain,
sdtlseqdt0(xm,xm),
inference(forward_demodulation,[],[f480,f479]) ).
fof(f535,plain,
$false,
inference(forward_subsumption_resolution,[],[f510,f518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM541+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:24:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.87/1.32 % (526112)Detected formulas, will run a generic FOF schedule.
% 2.87/1.32 % (526118)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=2609231831:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.32 % (526123)dis-21_1_sil=8000:lcm=predicate:random_seed=4179591974: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)
% 2.87/1.32 % (526117)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=887121641:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.32 % (526120)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3061241323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.32 % (526119)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=252986944:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.32 % (526122)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3614918322:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.32 % (526121)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2938154396:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.32 % (526120)Refutation not found, incomplete strategy
% 2.87/1.32 % (526120)------------------------------
% 2.87/1.32 % (526120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.32 % (526120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.32 % (526120)CaDiCaL version: 2.1.3
% 2.87/1.32 % (526120)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.32 % (526120)Time elapsed: 0.003 s
% 2.87/1.32 % (526120)Peak memory usage: 88 MB
% 2.87/1.32 % (526120)Instructions burned: 2 (million)
% 2.87/1.32 % (526121)First to succeed.
% 2.87/1.32 % (526121)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-526112"
% 2.87/1.32 % (526123)Instruction limit reached!
% 2.87/1.32 % (526123)------------------------------
% 2.87/1.32 % (526123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.32 % (526123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.32 % (526123)CaDiCaL version: 2.1.3
% 2.87/1.32 % (526123)Termination reason: Instruction limit
% 2.87/1.32 % (526123)Termination phase: Saturation
% 2.87/1.32 % (526123)Time elapsed: 0.056 s
% 2.87/1.32 % (526123)Peak memory usage: 88 MB
% 2.87/1.32 % (526123)Instructions burned: 131 (million)
% 2.87/1.32 % (526122)Also succeeded, but the first one will report.
% 2.87/1.32 % (526131)lrs+10_1_sil=8000:sp=occurrence:random_seed=4282576201:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.87/1.32 % (526120)------------------------------
% 2.87/1.32 % (526120)------------------------------
% 2.87/1.32 % (526131)Also succeeded, but the first one will report.
% 2.87/1.32 % (526121)Refutation found. Thanks to Tanya!
% 2.87/1.32 % SZS status Theorem for theBenchmark
% 2.87/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.51 % (526121)------------------------------
% 3.78/1.51 % (526121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (526121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (526121)CaDiCaL version: 2.1.3
% 3.78/1.51 % (526121)Termination reason: Refutation
% 3.78/1.51 % (526121)Time elapsed: 0.010 s
% 3.78/1.51 % (526121)Peak memory usage: 88 MB
% 3.78/1.51 % (526121)Instructions burned: 14 (million)
% 3.78/1.51 % (526121)------------------------------
% 3.78/1.51 % (526121)------------------------------
% 3.78/1.51 % (526112)Success in time 0.447 s
% 3.78/1.51 % Vampire exiting
%------------------------------------------------------------------------------