%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU062+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 : n005.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 12:51:52 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 46 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 10 |; 6 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f25,axiom,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f26,conjecture,
! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( in(X2,X0)
& relation_inverse_image(X1,singleton(X2)) = empty_set )
=> subset(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( in(X2,X0)
& relation_inverse_image(X1,singleton(X2)) = empty_set )
=> subset(X0,relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f51,plain,
! [X0,X1] :
( ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f52,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( ~ in(X2,X0)
| empty_set != relation_inverse_image(X1,singleton(X2)) )
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f53,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( ~ in(X2,X0)
| empty_set != relation_inverse_image(X1,singleton(X2)) )
& relation(X1) ),
inference(flattening,[],[f52]) ).
fof(f67,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f99,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_inverse_image(X1,singleton(X0))
| in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f101,plain,
! [X2] :
( ~ in(X2,sK12)
| empty_set != relation_inverse_image(sK13,singleton(X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f102,plain,
relation(sK13),
inference(cnf_transformation,[],[f53]) ).
fof(f103,plain,
~ subset(sK12,relation_rng(sK13)),
inference(cnf_transformation,[],[f53]) ).
fof(f199,plain,
in(sK0(sK12,relation_rng(sK13)),sK12),
inference(resolution,[],[f67,f103]) ).
fof(f201,plain,
empty_set != relation_inverse_image(sK13,singleton(sK0(sK12,relation_rng(sK13)))),
inference(resolution,[],[f199,f101]) ).
fof(f205,plain,
~ in(sK0(sK12,relation_rng(sK13)),relation_rng(sK13)),
inference(resolution,[],[f68,f103]) ).
fof(f249,plain,
! [X0] :
( in(X0,relation_rng(sK13))
| empty_set = relation_inverse_image(sK13,singleton(X0)) ),
inference(resolution,[],[f99,f102]) ).
fof(f257,plain,
empty_set = relation_inverse_image(sK13,singleton(sK0(sK12,relation_rng(sK13)))),
inference(resolution,[],[f249,f205]) ).
fof(f258,plain,
$false,
inference(forward_subsumption_resolution,[],[f257,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU062+1 : 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 : n005.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:29:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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 % (408222)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (408229)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1376290109:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (408227)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1015146140_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (408233)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3800219554:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (408230)dis+10_1_sil=32000:sp=arity:random_seed=3552418597:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (408232)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=264969643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (408231)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=905658935:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (408231) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-408222-408231"...
% 0.11/0.45 % (408228)% WARNING: option uhcvi not known.
% 0.11/0.45 % (408232) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-408222-408232"...
% 0.11/0.45 % (408231)...printing done.
% 0.11/0.45 % (408230) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-408222-408230"...
% 0.11/0.45 % TRYING [5]
% 0.11/0.45 % (408231)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 % (408231)------------------------------
% 0.11/0.45 % (408231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (408231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (408231)CaDiCaL version: 2.1.3
% 0.11/0.45 % (408231)Termination reason: Refutation
% 0.11/0.45 % (408231)Time elapsed: 0.005 s
% 0.11/0.45 % (408231)Peak memory usage: 12 MB
% 0.11/0.45 % (408231)Instructions burned: 5 (million)
% 0.11/0.45 % (408222)Success in time 0.043 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------