%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU303+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 : n003.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 12:52:48 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 54 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 17 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f56,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f57,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f114,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f115,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f116,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f115]) ).
fof(f118,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f119,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f118]) ).
fof(f245,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f246,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ finite(X0)
| ~ function(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f248,plain,
function(sK26),
inference(cnf_transformation,[],[f119]) ).
fof(f249,plain,
relation(sK26),
inference(cnf_transformation,[],[f119]) ).
fof(f250,plain,
finite(relation_dom(sK26)),
inference(cnf_transformation,[],[f119]) ).
fof(f251,plain,
~ finite(relation_rng(sK26)),
inference(cnf_transformation,[],[f119]) ).
fof(f557,plain,
relation_rng(sK26) = relation_image(sK26,relation_dom(sK26)),
inference(resolution,[],[f245,f249]) ).
fof(f565,plain,
( finite(relation_rng(sK26))
| ~ relation(sK26)
| ~ finite(relation_dom(sK26))
| ~ function(sK26) ),
inference(superposition,[],[f246,f557]) ).
fof(f566,plain,
( ~ relation(sK26)
| ~ finite(relation_dom(sK26))
| ~ function(sK26) ),
inference(forward_subsumption_resolution,[],[f565,f251]) ).
fof(f567,plain,
( ~ finite(relation_dom(sK26))
| ~ function(sK26) ),
inference(forward_subsumption_resolution,[],[f566,f249]) ).
fof(f568,plain,
~ function(sK26),
inference(forward_subsumption_resolution,[],[f567,f250]) ).
fof(f569,plain,
$false,
inference(forward_subsumption_resolution,[],[f568,f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 04:39:27 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 % (1190676)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1190685)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4145676860:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1190682)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1190685) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1190676-1190685"...
% 0.11/0.45 % (1190685)...printing done.
% 0.11/0.45 % (1190685)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
% 0.11/0.45 % (1190685)------------------------------
% 0.11/0.45 % (1190685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1190685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1190685)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1190685)Termination reason: Refutation
% 0.11/0.45 % (1190685)Time elapsed: 0.004 s
% 0.11/0.45 % (1190685)Peak memory usage: 12 MB
% 0.11/0.45 % (1190685)Instructions burned: 10 (million)
% 0.11/0.45 % (1190676)Success in time 0.037 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------