TSTP Solution File: TOP025+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n011.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 : Fri Sep 1 05:59:49 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 223 ( 26 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 258 ( 89 ~; 89 |; 58 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 49 (; 41 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f427,plain,
$false,
inference(avatar_sat_refutation,[],[f315,f391,f426]) ).
fof(f426,plain,
~ spl18_1,
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl18_1 ),
inference(subsumption_resolution,[],[f423,f402]) ).
fof(f402,plain,
( v1_tex_2(sK1,k1_zfmisc_1(sK1))
| ~ spl18_1 ),
inference(backward_demodulation,[],[f185,f400]) ).
fof(f400,plain,
( u1_struct_0(sK0) = sK1
| ~ spl18_1 ),
inference(backward_demodulation,[],[f361,f392]) ).
fof(f392,plain,
( sK1 = k3_tex_4(sK0,sK1)
| ~ spl18_1 ),
inference(unit_resulting_resolution,[],[f179,f180,f181,f310,f182,f230]) ).
fof(f230,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432',t58_tex_4) ).
fof(f182,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(sK1,sK0)
& ( v4_pre_topc(sK1,sK0)
| v3_pre_topc(sK1,sK0) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f81,f144,f143]) ).
fof(f143,plain,
( ? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(X1,sK0)
& ( v4_pre_topc(X1,sK0)
| v3_pre_topc(X1,sK0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0))) )
& l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(X1,sK0)
& ( v4_pre_topc(X1,sK0)
| v3_pre_topc(X1,sK0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0))) )
=> ( v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(sK1,sK0)
& ( v4_pre_topc(sK1,sK0)
| v3_pre_topc(sK1,sK0) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ( v4_pre_topc(X1,X0)
| v3_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432',t3_tsp_2) ).
fof(f310,plain,
( v3_pre_topc(sK1,sK0)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl18_1
<=> v3_pre_topc(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f181,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f145]) ).
fof(f180,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f145]) ).
fof(f179,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f145]) ).
fof(f361,plain,
u1_struct_0(sK0) = k3_tex_4(sK0,sK1),
inference(unit_resulting_resolution,[],[f179,f180,f181,f184,f182,f233]) ).
fof(f233,plain,
! [X0,X1] :
( u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432',d5_tsp_2) ).
fof(f184,plain,
v1_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f145]) ).
fof(f185,plain,
v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f145]) ).
fof(f423,plain,
( ~ v1_tex_2(sK1,k1_zfmisc_1(sK1))
| ~ spl18_1 ),
inference(unit_resulting_resolution,[],[f401,f304]) ).
fof(f304,plain,
! [X1] :
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(equality_resolution,[],[f286]) ).
fof(f286,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1 )
& ( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X0 != X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X0 != X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432',t5_tex_2) ).
fof(f401,plain,
( m1_subset_1(sK1,k1_zfmisc_1(sK1))
| ~ spl18_1 ),
inference(backward_demodulation,[],[f182,f400]) ).
fof(f391,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f388,f367]) ).
fof(f367,plain,
( v1_tex_2(sK1,k1_zfmisc_1(sK1))
| ~ spl18_2 ),
inference(backward_demodulation,[],[f185,f365]) ).
fof(f365,plain,
( u1_struct_0(sK0) = sK1
| ~ spl18_2 ),
inference(backward_demodulation,[],[f361,f359]) ).
fof(f359,plain,
( sK1 = k3_tex_4(sK0,sK1)
| ~ spl18_2 ),
inference(unit_resulting_resolution,[],[f179,f180,f181,f314,f182,f231]) ).
fof(f231,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432',t62_tex_4) ).
fof(f314,plain,
( v4_pre_topc(sK1,sK0)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl18_2
<=> v4_pre_topc(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f388,plain,
( ~ v1_tex_2(sK1,k1_zfmisc_1(sK1))
| ~ spl18_2 ),
inference(unit_resulting_resolution,[],[f366,f304]) ).
fof(f366,plain,
( m1_subset_1(sK1,k1_zfmisc_1(sK1))
| ~ spl18_2 ),
inference(backward_demodulation,[],[f182,f365]) ).
fof(f315,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f183,f312,f308]) ).
fof(f183,plain,
( v4_pre_topc(sK1,sK0)
| v3_pre_topc(sK1,sK0) ),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 22:59:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.mqGIyEvjU5/Vampire---4.8_29432
% 0.23/0.38 % (29807)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (29816)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.23/0.44 % (29817)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.23/0.44 % (29820)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.23/0.44 % (29819)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_520 on Vampire---4 for (520ds/0Mi)
% 0.23/0.44 % (29818)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44 % (29815)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.23/0.44 % (29814)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.23/0.45 % (29817)First to succeed.
% 0.23/0.45 % (29817)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (29817)------------------------------
% 0.23/0.45 % (29817)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (29817)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (29817)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (29817)Memory used [KB]: 5756
% 0.23/0.45 % (29817)Time elapsed: 0.011 s
% 0.23/0.45 % (29817)------------------------------
% 0.23/0.45 % (29817)------------------------------
% 0.23/0.45 % (29807)Success in time 0.073 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------