TSTP Solution File: LAT300+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 17:33:32 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 73 ( 13 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 258 ( 106 ~; 94 |; 36 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f263,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f216,f226,f228,f238,f245,f247,f252,f254,f262]) ).
fof(f262,plain,
~ spl15_16,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl15_16 ),
inference(resolution,[],[f251,f148]) ).
fof(f148,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f23,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f251,plain,
( ! [X0] : ~ m1_subset_1(X0,sK14)
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl15_16
<=> ! [X0] : ~ m1_subset_1(X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f254,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f158,f153]) ).
fof(f153,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ~ v3_struct_0(sK13)
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK13))
| ~ r2_hidden(X2,sK14) )
& m2_filter_2(sK14,sK13)
& l3_lattices(sK13)
& v10_lattices(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f54,f115,f114]) ).
fof(f114,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(sK13)
& ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK13))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,sK13) )
& l3_lattices(sK13)
& v10_lattices(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK13))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,sK13) )
=> ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK13))
| ~ r2_hidden(X2,sK14) )
& m2_filter_2(sK14,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f158,plain,
( v3_struct_0(sK13)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_1
<=> v3_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f252,plain,
( spl15_2
| spl15_16
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f248,f214,f250,f160]) ).
fof(f160,plain,
( spl15_2
<=> v1_xboole_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f214,plain,
( spl15_11
<=> ! [X0] : ~ r2_hidden(X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f248,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK14)
| v1_xboole_0(sK14) )
| ~ spl15_11 ),
inference(resolution,[],[f215,f133]) ).
fof(f133,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f215,plain,
( ! [X0] : ~ r2_hidden(X0,sK14)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f247,plain,
spl15_15,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| spl15_15 ),
inference(resolution,[],[f244,f151]) ).
fof(f151,plain,
m2_filter_2(sK14,sK13),
inference(cnf_transformation,[],[f116]) ).
fof(f244,plain,
( ~ m2_filter_2(sK14,sK13)
| spl15_15 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl15_15
<=> m2_filter_2(sK14,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f245,plain,
( ~ spl15_3
| spl15_1
| ~ spl15_4
| ~ spl15_15
| spl15_14 ),
inference(avatar_split_clause,[],[f240,f235,f242,f168,f156,f164]) ).
fof(f164,plain,
( spl15_3
<=> l3_lattices(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f168,plain,
( spl15_4
<=> v10_lattices(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f235,plain,
( spl15_14
<=> m2_lattice4(sK14,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f240,plain,
( ~ m2_filter_2(sK14,sK13)
| ~ v10_lattices(sK13)
| v3_struct_0(sK13)
| ~ l3_lattices(sK13)
| spl15_14 ),
inference(resolution,[],[f237,f136]) ).
fof(f136,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f237,plain,
( ~ m2_lattice4(sK14,sK13)
| spl15_14 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl15_3
| ~ spl15_4
| ~ spl15_14
| spl15_1
| spl15_10 ),
inference(avatar_split_clause,[],[f231,f210,f156,f235,f168,f164]) ).
fof(f210,plain,
( spl15_10
<=> m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f231,plain,
( v3_struct_0(sK13)
| ~ m2_lattice4(sK14,sK13)
| ~ v10_lattices(sK13)
| ~ l3_lattices(sK13)
| spl15_10 ),
inference(resolution,[],[f212,f125]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f212,plain,
( ~ m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13)))
| spl15_10 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f228,plain,
spl15_4,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl15_4 ),
inference(resolution,[],[f170,f149]) ).
fof(f149,plain,
v10_lattices(sK13),
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
( ~ v10_lattices(sK13)
| spl15_4 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f226,plain,
spl15_3,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| spl15_3 ),
inference(resolution,[],[f166,f150]) ).
fof(f150,plain,
l3_lattices(sK13),
inference(cnf_transformation,[],[f116]) ).
fof(f166,plain,
( ~ l3_lattices(sK13)
| spl15_3 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f216,plain,
( ~ spl15_10
| spl15_11 ),
inference(avatar_split_clause,[],[f200,f214,f210]) ).
fof(f200,plain,
! [X0] :
( ~ r2_hidden(X0,sK14)
| ~ m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(factoring,[],[f173]) ).
fof(f173,plain,
! [X2,X3] :
( ~ r2_hidden(X2,sK14)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ r2_hidden(X2,X3) ),
inference(resolution,[],[f152,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f152,plain,
! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK13))
| ~ r2_hidden(X2,sK14) ),
inference(cnf_transformation,[],[f116]) ).
fof(f171,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f154,f168,f164,f160,f156]) ).
fof(f154,plain,
( ~ v10_lattices(sK13)
| ~ l3_lattices(sK13)
| ~ v1_xboole_0(sK14)
| v3_struct_0(sK13) ),
inference(resolution,[],[f151,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n018.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 01:06:54 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (25424)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.46 % (25429)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (25437)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.48 % (25429)Instruction limit reached!
% 0.15/0.48 % (25429)------------------------------
% 0.15/0.48 % (25429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (25437)First to succeed.
% 0.15/0.48 % (25437)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (25437)------------------------------
% 0.15/0.48 % (25437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (25437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (25437)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (25437)Memory used [KB]: 6012
% 0.15/0.48 % (25437)Time elapsed: 0.113 s
% 0.15/0.48 % (25437)Instructions burned: 3 (million)
% 0.15/0.48 % (25437)------------------------------
% 0.15/0.48 % (25437)------------------------------
% 0.15/0.48 % (25417)Success in time 0.172 s
%------------------------------------------------------------------------------