TSTP Solution File: SEU177+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU177+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 : n021.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 18:27:08 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 6 unt; 0 def)
% Number of atoms : 180 ( 18 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 215 ( 78 ~; 75 |; 37 &)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 81 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f97,f103]) ).
fof(f103,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl12_1 ),
inference(subsumption_resolution,[],[f101,f78]) ).
fof(f78,plain,
relation(sK10),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ~ in(sK11,relation_dom(sK10))
| ~ in(sK9,relation_rng(sK10)) )
& relation(sK10)
& in(ordered_pair(sK11,sK9),sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1,X2] :
( ( ~ in(X2,relation_dom(X1))
| ~ in(X0,relation_rng(X1)) )
& relation(X1)
& in(ordered_pair(X2,X0),X1) )
=> ( ( ~ in(sK11,relation_dom(sK10))
| ~ in(sK9,relation_rng(sK10)) )
& relation(sK10)
& in(ordered_pair(sK11,sK9),sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( ~ in(X2,relation_dom(X1))
| ~ in(X0,relation_rng(X1)) )
& relation(X1)
& in(ordered_pair(X2,X0),X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X1,X0,X2] :
( ( ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_rng(X0)) )
& relation(X0)
& in(ordered_pair(X2,X1),X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X1,X2,X0] :
( ( ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_rng(X0)) )
& in(ordered_pair(X2,X1),X0)
& relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X1,X2,X0] :
( relation(X0)
=> ( in(ordered_pair(X2,X1),X0)
=> ( in(X2,relation_dom(X0))
& in(X1,relation_rng(X0)) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X2,X1,X0] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X2,X1,X0] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f101,plain,
( ~ relation(sK10)
| spl12_1 ),
inference(subsumption_resolution,[],[f100,f87]) ).
fof(f87,plain,
( ~ in(sK11,relation_dom(sK10))
| spl12_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl12_1
<=> in(sK11,relation_dom(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f100,plain,
( in(sK11,relation_dom(sK10))
| ~ relation(sK10) ),
inference(resolution,[],[f82,f77]) ).
fof(f77,plain,
in(ordered_pair(sK11,sK9),sK10),
inference(cnf_transformation,[],[f60]) ).
fof(f82,plain,
! [X2,X3,X0] :
( ~ in(ordered_pair(X2,X3),X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK6(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK7(X0,X1),X6),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f53,f56,f55,f54]) ).
fof(f54,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK6(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(sK7(X0,X1),X6),X0)
| ~ in(sK7(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK7(X0,X1),X7),X0)
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK7(X0,X1),X7),X0)
=> in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) ) ) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f97,plain,
spl12_2,
inference(avatar_split_clause,[],[f96,f89]) ).
fof(f89,plain,
( spl12_2
<=> in(sK9,relation_rng(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f96,plain,
in(sK9,relation_rng(sK10)),
inference(subsumption_resolution,[],[f95,f78]) ).
fof(f95,plain,
( ~ relation(sK10)
| in(sK9,relation_rng(sK10)) ),
inference(resolution,[],[f80,f77]) ).
fof(f80,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| ~ relation(X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK0(X0,X1)),X0)
| ~ in(sK0(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK0(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK2(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f38,f41,f40,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK0(X0,X1)),X0)
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK0(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK0(X0,X1)),X0)
=> in(ordered_pair(sK1(X0,X1),sK0(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK2(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f92,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f79,f89,f85]) ).
fof(f79,plain,
( ~ in(sK9,relation_rng(sK10))
| ~ in(sK11,relation_dom(sK10)) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:43:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (11404)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (11401)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)
% 0.19/0.54 % (11401)First to succeed.
% 0.19/0.54 % (11401)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (11401)------------------------------
% 0.19/0.54 % (11401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11401)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (11401)Memory used [KB]: 5884
% 0.19/0.54 % (11401)Time elapsed: 0.133 s
% 0.19/0.54 % (11401)Instructions burned: 3 (million)
% 0.19/0.54 % (11401)------------------------------
% 0.19/0.54 % (11401)------------------------------
% 0.19/0.54 % (11394)Success in time 0.193 s
%------------------------------------------------------------------------------