%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT388+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:48:46 AM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 94 ( 3 equ)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 104 ( 21 ~; 19 |; 49 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp
& aFixedPointOf0(xp,xf)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [X0] :
( ( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xT,xS) )
=> sdtlseqdt0(xp,X0) )
& aSupremumOfIn0(xp,xT,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1330) ).
fof(f31,conjecture,
? [X0] :
( ( aElementOf0(X0,xS)
& ( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xT,xS) )
& ! [X1] :
( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(X0,X1) ) )
| aSupremumOfIn0(X0,xT,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0] :
( ( aElementOf0(X0,xS)
& ( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xT,xS) )
& ! [X1] :
( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(X0,X1) ) )
| aSupremumOfIn0(X0,xT,xS) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f37,plain,
( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp
& aFixedPointOf0(xp,xf)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [X1] :
( ( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) ) )
| aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(xp,X1) )
& aSupremumOfIn0(xp,xT,xS) ),
inference(rectify,[],[f30]) ).
fof(f38,plain,
~ ? [X0] :
( ( aElementOf0(X0,xS)
& ( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
| aUpperBoundOfIn0(X0,xT,xS) )
& ! [X2] :
( ( aElementOf0(X2,xS)
& ! [X3] :
( aElementOf0(X3,xT)
=> sdtlseqdt0(X3,X2) )
& aUpperBoundOfIn0(X2,xT,xS) )
=> sdtlseqdt0(X0,X2) ) )
| aSupremumOfIn0(X0,xT,xS) ),
inference(rectify,[],[f32]) ).
fof(f78,plain,
( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp
& aFixedPointOf0(xp,xf)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xT) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [X1] :
( sdtlseqdt0(xp,X1)
| ( ( ~ aElementOf0(X1,xS)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,xT) ) )
& ~ aUpperBoundOfIn0(X1,xT,xS) ) )
& aSupremumOfIn0(xp,xT,xS) ),
inference(ennf_transformation,[],[f37]) ).
fof(f79,plain,
! [X0] :
( ( ~ aElementOf0(X0,xS)
| ( ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
& ~ aUpperBoundOfIn0(X0,xT,xS) )
| ? [X2] :
( ~ sdtlseqdt0(X0,X2)
& aElementOf0(X2,xS)
& ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,xT) )
& aUpperBoundOfIn0(X2,xT,xS) ) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0] :
( ( ~ aElementOf0(X0,xS)
| ( ( ~ aElementOf0(X0,xS)
| ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
& ~ aUpperBoundOfIn0(X0,xT,xS) )
| ? [X2] :
( ~ sdtlseqdt0(X0,X2)
& aElementOf0(X2,xS)
& ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,xT) )
& aUpperBoundOfIn0(X2,xT,xS) ) )
& ~ aSupremumOfIn0(X0,xT,xS) ),
inference(flattening,[],[f79]) ).
fof(f219,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[],[f78]) ).
fof(f236,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[],[f80]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f219,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT388+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 15:13:07 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % (334673)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (334682)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2976135552:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (334679)% WARNING: option uhcvi not known.
% 0.17/0.46 % (334682) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-334673-334682"...
% 0.17/0.46 % (334682)...printing done.
% 0.17/0.46 % (334682)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (334682)------------------------------
% 0.17/0.46 % (334682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (334682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (334682)CaDiCaL version: 2.1.3
% 0.17/0.46 % (334682)Termination reason: Refutation
% 0.17/0.46 % (334682)Time elapsed: 0.003 s
% 0.17/0.46 % (334682)Peak memory usage: 12 MB
% 0.17/0.46 % (334682)Instructions burned: 10 (million)
% 0.17/0.46 % (334673)Success in time 0.037 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------