TSTP Solution File: SEU382+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n018.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 : Thu Aug 31 17:58:37 EDT 2023
% Result : Theorem 1.29s 0.74s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 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(f9389,plain,
$false,
inference(subsumption_resolution,[],[f4625,f9382]) ).
fof(f9382,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(superposition,[],[f4693,f4688]) ).
fof(f4688,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/sandbox/tmp/tmp.j5uTzoOI7E/Vampire---4.8_4675',t4_yellow_1) ).
fof(f4693,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/sandbox/tmp/tmp.j5uTzoOI7E/Vampire---4.8_4675',t1_yellow_1) ).
fof(f4625,plain,
powerset(sK528) != the_carrier(boole_POSet(sK528)),
inference(cnf_transformation,[],[f2724]) ).
fof(f2724,plain,
powerset(sK528) != the_carrier(boole_POSet(sK528)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK528])],[f920,f2723]) ).
fof(f2723,plain,
( ? [X0] : powerset(X0) != the_carrier(boole_POSet(X0))
=> powerset(sK528) != the_carrier(boole_POSet(sK528)) ),
introduced(choice_axiom,[]) ).
fof(f920,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/sandbox/tmp/tmp.j5uTzoOI7E/Vampire---4.8_4675',t4_waybel_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21 % Problem : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.23 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.23/0.43 % Computer : n018.cluster.edu
% 0.23/0.43 % Model : x86_64 x86_64
% 0.23/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.43 % Memory : 8042.1875MB
% 0.23/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.43 % CPULimit : 300
% 0.23/0.43 % WCLimit : 300
% 0.23/0.43 % DateTime : Wed Aug 23 22:46:12 EDT 2023
% 0.23/0.43 % CPUTime :
% 0.23/0.43 This is a FOF_THM_RFO_SEQ problem
% 0.23/0.43 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.j5uTzoOI7E/Vampire---4.8_4675
% 0.23/0.44 % (4824)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.53 % (4828)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.28/0.53 % (4825)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.28/0.53 % (4826)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.28/0.53 % (4827)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.28/0.53 % (4829)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.28/0.53 % (4830)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.28/0.53 % (4831)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 1.29/0.74 % (4829)First to succeed.
% 1.29/0.74 % (4829)Refutation found. Thanks to Tanya!
% 1.29/0.74 % SZS status Theorem for Vampire---4
% 1.29/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 1.29/0.74 % (4829)------------------------------
% 1.29/0.74 % (4829)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.29/0.74 % (4829)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.29/0.74 % (4829)Termination reason: Refutation
% 1.29/0.74
% 1.29/0.74 % (4829)Memory used [KB]: 11769
% 1.29/0.74 % (4829)Time elapsed: 0.211 s
% 1.29/0.74 % (4829)------------------------------
% 1.29/0.74 % (4829)------------------------------
% 1.29/0.74 % (4824)Success in time 0.278 s
% 1.29/0.74 % Vampire---4.8 exiting
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