%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% 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 12:52:20 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 10 ~; 7 |; 3 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f22,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f23,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f43,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f42]) ).
fof(f81,plain,
relation(sK9),
inference(cnf_transformation,[],[f43]) ).
fof(f82,plain,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),
inference(cnf_transformation,[],[f43]) ).
fof(f150,plain,
in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),relation_rng(relation_rng_restriction(sK8,sK9))),
inference(resolution,[],[f56,f82]) ).
fof(f155,plain,
~ in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),sK8),
inference(resolution,[],[f57,f82]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,sK9)))
| in(X0,X1) ),
inference(resolution,[],[f79,f81]) ).
fof(f225,plain,
in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),sK8),
inference(resolution,[],[f210,f150]) ).
fof(f226,plain,
$false,
inference(forward_subsumption_resolution,[],[f225,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:59:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.44 % (3564056)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3564065)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1771709223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3564065) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3564056-3564065"...
% 0.10/0.44 % (3564062)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3564065)...printing done.
% 0.10/0.44 % (3564065)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3564065)------------------------------
% 0.10/0.44 % (3564065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3564065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3564065)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3564065)Termination reason: Refutation
% 0.10/0.44 % (3564065)Time elapsed: 0.003 s
% 0.10/0.44 % (3564065)Peak memory usage: 12 MB
% 0.10/0.44 % (3564065)Instructions burned: 6 (million)
% 0.10/0.44 % (3564056)Success in time 0.029 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------