TSTP Solution File: SEU152+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU152+1 : 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 : n020.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 17:56:05 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 37 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 5 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 (; 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(trivial_inequality_removal,[],[f38]) ).
fof(f38,plain,
sK1 != sK1,
inference(backward_demodulation,[],[f30,f37]) ).
fof(f37,plain,
sK1 = sF3,
inference(forward_demodulation,[],[f36,f29]) ).
fof(f29,plain,
set_union2(sF2,sK1) = sF3,
introduced(function_definition,[]) ).
fof(f36,plain,
sK1 = set_union2(sF2,sK1),
inference(resolution,[],[f34,f24]) ).
fof(f24,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.zzkHUUSOiQ/Vampire---4.8_19930',t12_xboole_1) ).
fof(f34,plain,
subset(sF2,sK1),
inference(forward_demodulation,[],[f31,f28]) ).
fof(f28,plain,
singleton(sK0) = sF2,
introduced(function_definition,[]) ).
fof(f31,plain,
subset(singleton(sK0),sK1),
inference(resolution,[],[f19,f27]) ).
fof(f27,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.zzkHUUSOiQ/Vampire---4.8_19930',l2_zfmisc_1) ).
fof(f19,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( sK1 != set_union2(singleton(sK0),sK1)
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16]) ).
fof(f16,plain,
( ? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) )
=> ( sK1 != set_union2(singleton(sK0),sK1)
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.zzkHUUSOiQ/Vampire---4.8_19930',l23_zfmisc_1) ).
fof(f30,plain,
sK1 != sF3,
inference(definition_folding,[],[f20,f29,f28]) ).
fof(f20,plain,
sK1 != set_union2(singleton(sK0),sK1),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU152+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 20:15:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.zzkHUUSOiQ/Vampire---4.8_19930
% 0.14/0.36 % (20051)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20053)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (20056)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (20054)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (20055)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (20052)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (20058)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (20056)First to succeed.
% 0.22/0.42 % (20055)Also succeeded, but the first one will report.
% 0.22/0.42 % (20053)Also succeeded, but the first one will report.
% 0.22/0.42 % (20056)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (20056)------------------------------
% 0.22/0.42 % (20056)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (20056)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (20056)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (20056)Memory used [KB]: 895
% 0.22/0.42 % (20056)Time elapsed: 0.004 s
% 0.22/0.42 % (20056)------------------------------
% 0.22/0.42 % (20056)------------------------------
% 0.22/0.42 % (20051)Success in time 0.063 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------