%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:51:54 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 7 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).
fof(f61,conjecture,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).
fof(f62,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f117,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f118,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(flattening,[],[f117]) ).
fof(f121,plain,
? [X0,X1] :
( ~ finite(set_union2(X0,X1))
& finite(X0)
& finite(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f122,plain,
? [X0,X1] :
( ~ finite(set_union2(X0,X1))
& finite(X0)
& finite(X1) ),
inference(flattening,[],[f121]) ).
fof(f172,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f244,plain,
finite(sK27),
inference(cnf_transformation,[],[f122]) ).
fof(f245,plain,
finite(sK26),
inference(cnf_transformation,[],[f122]) ).
fof(f246,plain,
~ finite(set_union2(sK26,sK27)),
inference(cnf_transformation,[],[f122]) ).
fof(f451,plain,
( ~ finite(sK26)
| ~ finite(sK27) ),
inference(resolution,[],[f172,f246]) ).
fof(f458,plain,
~ finite(sK27),
inference(forward_subsumption_resolution,[],[f451,f245]) ).
fof(f459,plain,
$false,
inference(forward_subsumption_resolution,[],[f458,f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:34:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2231668)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2231674)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2231674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1786229067:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (2231674) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2231668-2231674"...
% 0.11/0.45 % (2231674)...printing done.
% 0.11/0.45 % (2231674)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2231674)------------------------------
% 0.11/0.46 % (2231674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2231674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2231674)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2231674)Termination reason: Refutation
% 0.11/0.46 % (2231674)Time elapsed: 0.004 s
% 0.11/0.46 % (2231674)Peak memory usage: 12 MB
% 0.11/0.46 % (2231674)Instructions burned: 8 (million)
% 0.11/0.46 % (2231668)Success in time 0.038 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------