%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU295+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 : n017.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 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(f47,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f48,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f88,plain,
! [X0,X1] :
( finite(set_intersection2(X0,X1))
| ~ finite(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f95,plain,
? [X0,X1] :
( ~ finite(set_intersection2(X0,X1))
& finite(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f124,plain,
( ~ finite(set_intersection2(sK19,sK20))
& finite(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f95]) ).
fof(f148,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f215,plain,
finite(sK19),
inference(cnf_transformation,[],[f124]) ).
fof(f216,plain,
~ finite(set_intersection2(sK19,sK20)),
inference(cnf_transformation,[],[f124]) ).
fof(f350,plain,
! [X0] : finite(set_intersection2(sK19,X0)),
inference(resolution,[],[f148,f215]) ).
fof(f355,plain,
$false,
inference(resolution,[],[f350,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU295+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:28:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (3202470)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3202476)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3202480)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4274843182:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (3202477)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2118971458:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (3202481)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3617389074:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (3202475)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=559795081_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (3202476)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2014187094:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (3202478)dis+10_1_sil=32000:sp=arity:random_seed=3926519779:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (3202479)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3494433015:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3202480) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3202470-3202480"...
% 0.10/0.44 % (3202480)...printing done.
% 0.10/0.44 % TRYING [1]
% 0.10/0.44 % (3202480)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 % (3202480)------------------------------
% 0.10/0.44 % (3202480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3202480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3202480)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3202480)Termination reason: Refutation
% 0.10/0.44 % (3202480)Time elapsed: 0.003 s
% 0.10/0.44 % (3202480)Peak memory usage: 12 MB
% 0.10/0.44 % (3202480)Instructions burned: 5 (million)
% 0.10/0.44 % (3202470)Success in time 0.037 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------