%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU294+3 : 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 : n006.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 12:52:45 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 9 |; 6 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f46,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f47,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f96,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f97,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(flattening,[],[f96]) ).
fof(f101,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f119,plain,
! [X0,X1] :
( ~ finite(X0)
| ~ element(X1,powerset(X0))
| finite(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f212,plain,
finite(sK27),
inference(cnf_transformation,[],[f97]) ).
fof(f213,plain,
subset(sK26,sK27),
inference(cnf_transformation,[],[f97]) ).
fof(f214,plain,
~ finite(sK26),
inference(cnf_transformation,[],[f97]) ).
fof(f217,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f301,plain,
~ subset(sK26,sK27),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f304,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f396,plain,
! [X0] :
( ~ element(X0,powerset(sK27))
| finite(X0) ),
inference(resolution,[],[f119,f212]) ).
fof(f428,plain,
! [X0] :
( subset(X0,sK27)
| finite(X0) ),
inference(resolution,[],[f396,f304]) ).
fof(f539,plain,
finite(sK26),
inference(resolution,[],[f428,f301]) ).
fof(f541,plain,
$false,
inference(forward_subsumption_resolution,[],[f539,f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.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 : Mon Sep 28 04:32:10 UTC 2026
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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
% 0.16/0.46 % (3582290)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3582296)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3582296)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1603651201:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3582296) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3582290-3582296"...
% 0.16/0.46 % (3582296)...printing done.
% 0.16/0.46 % (3582296)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3582296)------------------------------
% 0.16/0.46 % (3582296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3582296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3582296)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3582296)Termination reason: Refutation
% 0.16/0.46 % (3582296)Time elapsed: 0.004 s
% 0.16/0.46 % (3582296)Peak memory usage: 12 MB
% 0.16/0.46 % (3582296)Instructions burned: 10 (million)
% 0.16/0.46 % (3582290)Success in time 0.036 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------