%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:52:47 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 19 unt; 4 def)
% Number of atoms : 103 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 36 ~; 32 |; 12 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f7,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f8,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f9,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f12,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f15]) ).
fof(f18,plain,
( ~ finite(relation_rng(sK1))
& finite(relation_dom(sK1))
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f16]) ).
fof(f22,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
function(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
relation(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
finite(relation_dom(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
~ finite(relation_rng(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X0] :
( relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f32,plain,
! [X0,X1] :
( ~ finite(relation_image(X1,X0))
| finite(X0)
| relation(X1)
| function(X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f33,plain,
finite(relation_rng(sK1)),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f34,plain,
~ finite(relation_dom(sK1)),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f35,plain,
~ relation(sK1),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f36,plain,
~ function(sK1),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f37,plain,
relation_rng(sK1) = relation_image(sK1,relation_dom(sK1)),
inference(resolution,[],[f31,f35]) ).
fof(f39,plain,
( ~ finite(relation_rng(sK1))
| finite(relation_dom(sK1))
| relation(sK1)
| function(sK1) ),
inference(superposition,[],[f32,f37]) ).
fof(f59,definition,
( spl2_5
<=> function(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f61,plain,
( function(sK1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl2_6
<=> relation(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f65,plain,
( relation(sK1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl2_7
<=> finite(relation_dom(sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f69,plain,
( finite(relation_dom(sK1))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl2_8
<=> finite(relation_rng(sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f73,plain,
( ~ finite(relation_rng(sK1))
| spl2_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl2_5
| spl2_6
| spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f39,f71,f67,f63,f59]) ).
fof(f75,plain,
( $false
| spl2_8 ),
inference(resolution,[],[f73,f33]) ).
fof(f76,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f77,plain,
( $false
| ~ spl2_5 ),
inference(resolution,[],[f61,f36]) ).
fof(f78,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f79,plain,
( $false
| ~ spl2_6 ),
inference(resolution,[],[f65,f35]) ).
fof(f80,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f81,plain,
( $false
| ~ spl2_7 ),
inference(resolution,[],[f69,f34]) ).
fof(f82,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f81]) ).
cnf(s2,plain,
( spl2_5
| spl2_6
| spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f74]) ).
cnf(s3,plain,
spl2_8,
inference(sat_conversion,[],[f76]) ).
cnf(s4,plain,
~ spl2_5,
inference(sat_conversion,[],[f78]) ).
cnf(s5,plain,
~ spl2_6,
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
~ spl2_7,
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s3,s6,s5,s4]) ).
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.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 04:42:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.45 % (3262145)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3262156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2003760680:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (3262156) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3262145-3262156"...
% 0.12/0.45 % (3262156)...printing done.
% 0.12/0.45 % (3262156)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3262156)------------------------------
% 0.12/0.45 % (3262156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3262156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3262156)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3262156)Termination reason: Refutation
% 0.12/0.45 % (3262156)Time elapsed: 0.001 s
% 0.12/0.45 % (3262156)Peak memory usage: 12 MB
% 0.12/0.45 % (3262156)Instructions burned: 1 (million)
% 0.12/0.45 % (3262145)Success in time 0.037 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------