TSTP Solution File: SEU382+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 00:18:15 EDT 2023
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 9 (; 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7436,plain,
$false,
inference(trivial_inequality_removal,[],[f7435]) ).
fof(f7435,plain,
powerset(sK285) != powerset(sK285),
inference(superposition,[],[f3896,f7113]) ).
fof(f7113,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(superposition,[],[f3963,f3958]) ).
fof(f3958,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f781]) ).
fof(f781,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox2/tmp/tmp.97N4IzZr6d/Vampire---4.8_548',t4_yellow_1) ).
fof(f3963,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f672]) ).
fof(f672,axiom,
! [X0] :
( inclusion_order(X0) = the_InternalRel(incl_POSet(X0))
& the_carrier(incl_POSet(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.97N4IzZr6d/Vampire---4.8_548',t1_yellow_1) ).
fof(f3896,plain,
powerset(sK285) != the_carrier(boole_POSet(sK285)),
inference(cnf_transformation,[],[f2353]) ).
fof(f2353,plain,
powerset(sK285) != the_carrier(boole_POSet(sK285)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK285])],[f891,f2352]) ).
fof(f2352,plain,
( ? [X0] : powerset(X0) != the_carrier(boole_POSet(X0))
=> powerset(sK285) != the_carrier(boole_POSet(sK285)) ),
introduced(choice_axiom,[]) ).
fof(f891,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f778]) ).
fof(f778,negated_conjecture,
~ ! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(negated_conjecture,[],[f777]) ).
fof(f777,conjecture,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
file('/export/starexec/sandbox2/tmp/tmp.97N4IzZr6d/Vampire---4.8_548',t4_waybel_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.34 % Computer : n024.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 30 14:12:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.19/0.38 % (1942)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (2111)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.40 % (2107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.40 % (2112)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.19/0.40 % (2108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.40 % (2115)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.19/0.40 % (2110)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.41 % (2114)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.19/0.54 % (2114)First to succeed.
% 0.19/0.54 % (2114)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for Vampire---4
% 0.19/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.54 % (2114)------------------------------
% 0.19/0.54 % (2114)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.54 % (2114)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.54 % (2114)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (2114)Memory used [KB]: 7931
% 0.19/0.54 % (2114)Time elapsed: 0.137 s
% 0.19/0.54 % (2114)------------------------------
% 0.19/0.54 % (2114)------------------------------
% 0.19/0.54 % (1942)Success in time 0.191 s
% 0.19/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------