TSTP Solution File: SEU234+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n007.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 18:27:48 EDT 2022
% Result : Theorem 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 3 unt; 0 def)
% Number of atoms : 242 ( 22 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 271 ( 96 ~; 104 |; 52 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 68 ( 57 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f335,plain,
$false,
inference(avatar_sat_refutation,[],[f208,f264,f281,f304,f326]) ).
fof(f326,plain,
( spl17_1
| ~ spl17_3 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| spl17_1
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f319,f202]) ).
fof(f202,plain,
( ~ epsilon_connected(sK7)
| spl17_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl17_1
<=> epsilon_connected(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f319,plain,
( epsilon_connected(sK7)
| ~ spl17_3 ),
inference(resolution,[],[f259,f175]) ).
fof(f175,plain,
! [X0] :
( ~ in(sK11(X0),sK12(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( ~ in(sK11(X0),sK12(X0))
& in(sK12(X0),X0)
& sK12(X0) != sK11(X0)
& in(sK11(X0),X0)
& ~ in(sK12(X0),sK11(X0)) ) )
& ( ! [X3,X4] :
( in(X3,X4)
| ~ in(X4,X0)
| X3 = X4
| ~ in(X3,X0)
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X1,X2] :
( ~ in(X1,X2)
& in(X2,X0)
& X1 != X2
& in(X1,X0)
& ~ in(X2,X1) )
=> ( ~ in(sK11(X0),sK12(X0))
& in(sK12(X0),X0)
& sK12(X0) != sK11(X0)
& in(sK11(X0),X0)
& ~ in(sK12(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X1,X2)
& in(X2,X0)
& X1 != X2
& in(X1,X0)
& ~ in(X2,X1) ) )
& ( ! [X3,X4] :
( in(X3,X4)
| ~ in(X4,X0)
| X3 = X4
| ~ in(X3,X0)
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X1,X2)
& in(X2,X0)
& X1 != X2
& in(X1,X0)
& ~ in(X2,X1) ) )
& ( ! [X1,X2] :
( in(X1,X2)
| ~ in(X2,X0)
| X1 = X2
| ~ in(X1,X0)
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( in(X1,X2)
| ~ in(X2,X0)
| X1 = X2
| ~ in(X1,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,X0)
& X1 != X2
& in(X2,X0)
& ~ in(X2,X1)
& ~ in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f259,plain,
( in(sK11(sK7),sK12(sK7))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl17_3
<=> in(sK11(sK7),sK12(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f304,plain,
( spl17_1
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| spl17_1
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f301,f202]) ).
fof(f301,plain,
( epsilon_connected(sK7)
| ~ spl17_4 ),
inference(trivial_inequality_removal,[],[f298]) ).
fof(f298,plain,
( sK11(sK7) != sK11(sK7)
| epsilon_connected(sK7)
| ~ spl17_4 ),
inference(superposition,[],[f173,f263]) ).
fof(f263,plain,
( sK11(sK7) = sK12(sK7)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl17_4
<=> sK11(sK7) = sK12(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f173,plain,
! [X0] :
( sK12(X0) != sK11(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f281,plain,
spl17_2,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| spl17_2 ),
inference(subsumption_resolution,[],[f276,f275]) ).
fof(f275,plain,
( in(sK9(sK7),sK7)
| spl17_2 ),
inference(resolution,[],[f206,f158]) ).
fof(f158,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sK9(X0),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK9(X0),X0)
& in(sK9(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f98,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK9(X0),X0)
& in(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f206,plain,
( ~ epsilon_transitive(sK7)
| spl17_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl17_2
<=> epsilon_transitive(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f276,plain,
( ~ in(sK9(sK7),sK7)
| spl17_2 ),
inference(resolution,[],[f273,f148]) ).
fof(f148,plain,
! [X1] :
( subset(X1,sK7)
| ~ in(X1,sK7) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ ordinal(sK7)
& ! [X1] :
( ( subset(X1,sK7)
& ordinal(X1) )
| ~ in(X1,sK7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f55,f93]) ).
fof(f93,plain,
( ? [X0] :
( ~ ordinal(X0)
& ! [X1] :
( ( subset(X1,X0)
& ordinal(X1) )
| ~ in(X1,X0) ) )
=> ( ~ ordinal(sK7)
& ! [X1] :
( ( subset(X1,sK7)
& ordinal(X1) )
| ~ in(X1,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ~ ordinal(X0)
& ! [X1] :
( ( subset(X1,X0)
& ordinal(X1) )
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( subset(X1,X0)
& ordinal(X1) ) )
=> ordinal(X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( subset(X1,X0)
& ordinal(X1) ) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_ordinal1) ).
fof(f273,plain,
( ~ subset(sK9(sK7),sK7)
| spl17_2 ),
inference(resolution,[],[f206,f159]) ).
fof(f159,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ subset(sK9(X0),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f264,plain,
( spl17_3
| spl17_4
| spl17_1 ),
inference(avatar_split_clause,[],[f255,f200,f261,f257]) ).
fof(f255,plain,
( sK11(sK7) = sK12(sK7)
| in(sK11(sK7),sK12(sK7))
| spl17_1 ),
inference(subsumption_resolution,[],[f254,f202]) ).
fof(f254,plain,
( epsilon_connected(sK7)
| in(sK11(sK7),sK12(sK7))
| sK11(sK7) = sK12(sK7)
| spl17_1 ),
inference(subsumption_resolution,[],[f246,f220]) ).
fof(f220,plain,
( ordinal(sK11(sK7))
| spl17_1 ),
inference(resolution,[],[f213,f147]) ).
fof(f147,plain,
! [X1] :
( ~ in(X1,sK7)
| ordinal(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f213,plain,
( in(sK11(sK7),sK7)
| spl17_1 ),
inference(resolution,[],[f202,f172]) ).
fof(f172,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK11(X0),X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f246,plain,
( ~ ordinal(sK11(sK7))
| in(sK11(sK7),sK12(sK7))
| epsilon_connected(sK7)
| sK11(sK7) = sK12(sK7)
| spl17_1 ),
inference(resolution,[],[f225,f171]) ).
fof(f171,plain,
! [X0] :
( ~ in(sK12(X0),sK11(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f225,plain,
( ! [X0] :
( in(sK12(sK7),X0)
| in(X0,sK12(sK7))
| ~ ordinal(X0)
| sK12(sK7) = X0 )
| spl17_1 ),
inference(resolution,[],[f215,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ ordinal(X0)
| in(X1,X0)
| in(X0,X1)
| ~ ordinal(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ ordinal(X0)
| ! [X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& ~ in(X0,X1)
& X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f215,plain,
( ordinal(sK12(sK7))
| spl17_1 ),
inference(resolution,[],[f211,f147]) ).
fof(f211,plain,
( in(sK12(sK7),sK7)
| spl17_1 ),
inference(resolution,[],[f202,f174]) ).
fof(f174,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK12(X0),X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f208,plain,
( ~ spl17_2
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f197,f200,f204]) ).
fof(f197,plain,
( ~ epsilon_connected(sK7)
| ~ epsilon_transitive(sK7) ),
inference(resolution,[],[f149,f193]) ).
fof(f193,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) )
& ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) )
& ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
<=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f149,plain,
~ ordinal(sK7),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 14:39:31 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.42 % (10186)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.43 % (10178)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.45 % (10178)First to succeed.
% 0.16/0.45 % (10178)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (10178)------------------------------
% 0.16/0.45 % (10178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (10178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (10178)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (10178)Memory used [KB]: 6140
% 0.16/0.45 % (10178)Time elapsed: 0.070 s
% 0.16/0.45 % (10178)Instructions burned: 7 (million)
% 0.16/0.45 % (10178)------------------------------
% 0.16/0.45 % (10178)------------------------------
% 0.16/0.45 % (10161)Success in time 0.125 s
%------------------------------------------------------------------------------