TSTP Solution File: SEU223+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU223+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 : n015.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 18:27:38 EDT 2022
% Result : Theorem 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 172 ( 52 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 217 ( 84 ~; 72 |; 44 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 66 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251,plain,
$false,
inference(subsumption_resolution,[],[f250,f191]) ).
fof(f191,plain,
! [X0] : relation(relation_dom_restriction(sK8,X0)),
inference(unit_resulting_resolution,[],[f152,f132]) ).
fof(f132,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X0)) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f152,plain,
relation(sK8),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( relation(sK8)
& in(sK9,relation_dom(relation_dom_restriction(sK8,sK10)))
& apply(sK8,sK9) != apply(relation_dom_restriction(sK8,sK10),sK9)
& function(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f100,f101]) ).
fof(f101,plain,
( ? [X0,X1,X2] :
( relation(X0)
& in(X1,relation_dom(relation_dom_restriction(X0,X2)))
& apply(X0,X1) != apply(relation_dom_restriction(X0,X2),X1)
& function(X0) )
=> ( relation(sK8)
& in(sK9,relation_dom(relation_dom_restriction(sK8,sK10)))
& apply(sK8,sK9) != apply(relation_dom_restriction(sK8,sK10),sK9)
& function(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0,X1,X2] :
( relation(X0)
& in(X1,relation_dom(relation_dom_restriction(X0,X2)))
& apply(X0,X1) != apply(relation_dom_restriction(X0,X2),X1)
& function(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X2,X0] :
( relation(X1)
& in(X2,relation_dom(relation_dom_restriction(X1,X0)))
& apply(relation_dom_restriction(X1,X0),X2) != apply(X1,X2)
& function(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X1,X0),X2) != apply(X1,X2)
& in(X2,relation_dom(relation_dom_restriction(X1,X0)))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X0,X1,X2] :
( ( function(X1)
& relation(X1) )
=> ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
=> apply(relation_dom_restriction(X1,X0),X2) = apply(X1,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f250,plain,
~ relation(relation_dom_restriction(sK8,sK10)),
inference(subsumption_resolution,[],[f249,f150]) ).
fof(f150,plain,
apply(sK8,sK9) != apply(relation_dom_restriction(sK8,sK10),sK9),
inference(cnf_transformation,[],[f102]) ).
fof(f249,plain,
( apply(sK8,sK9) = apply(relation_dom_restriction(sK8,sK10),sK9)
| ~ relation(relation_dom_restriction(sK8,sK10)) ),
inference(subsumption_resolution,[],[f248,f149]) ).
fof(f149,plain,
function(sK8),
inference(cnf_transformation,[],[f102]) ).
fof(f248,plain,
( ~ function(sK8)
| ~ relation(relation_dom_restriction(sK8,sK10))
| apply(sK8,sK9) = apply(relation_dom_restriction(sK8,sK10),sK9) ),
inference(subsumption_resolution,[],[f247,f152]) ).
fof(f247,plain,
( ~ relation(sK8)
| ~ relation(relation_dom_restriction(sK8,sK10))
| ~ function(sK8)
| apply(sK8,sK9) = apply(relation_dom_restriction(sK8,sK10),sK9) ),
inference(subsumption_resolution,[],[f239,f193]) ).
fof(f193,plain,
! [X0] : function(relation_dom_restriction(sK8,X0)),
inference(unit_resulting_resolution,[],[f149,f152,f135]) ).
fof(f135,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f239,plain,
( ~ function(relation_dom_restriction(sK8,sK10))
| ~ function(sK8)
| ~ relation(sK8)
| apply(sK8,sK9) = apply(relation_dom_restriction(sK8,sK10),sK9)
| ~ relation(relation_dom_restriction(sK8,sK10)) ),
inference(resolution,[],[f151,f161]) ).
fof(f161,plain,
! [X2,X1,X4] :
( ~ function(relation_dom_restriction(X2,X1))
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X1)))
| ~ relation(X2)
| apply(relation_dom_restriction(X2,X1),X4) = apply(X2,X4)
| ~ function(X2)
| ~ relation(relation_dom_restriction(X2,X1)) ),
inference(equality_resolution,[],[f137]) ).
fof(f137,plain,
! [X2,X0,X1,X4] :
( apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0))
| relation_dom_restriction(X2,X1) != X0
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ( apply(X0,sK6(X0,X2)) != apply(X2,sK6(X0,X2))
& in(sK6(X0,X2),relation_dom(X0)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0)) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f94,f95]) ).
fof(f95,plain,
! [X0,X2] :
( ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
=> ( apply(X0,sK6(X0,X2)) != apply(X2,sK6(X0,X2))
& in(sK6(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0)) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f151,plain,
in(sK9,relation_dom(relation_dom_restriction(sK8,sK10))),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : n015.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 15:03:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (21199)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)
% 0.20/0.53 % (21200)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (21200)First to succeed.
% 0.20/0.54 % (21208)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (21216)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.45/0.55 % (21208)Instruction limit reached!
% 1.45/0.55 % (21208)------------------------------
% 1.45/0.55 % (21208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (21200)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55 % (21200)------------------------------
% 1.45/0.55 % (21200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (21200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (21200)Termination reason: Refutation
% 1.45/0.55
% 1.45/0.55 % (21200)Memory used [KB]: 6140
% 1.45/0.55 % (21200)Time elapsed: 0.112 s
% 1.45/0.55 % (21200)Instructions burned: 5 (million)
% 1.45/0.55 % (21200)------------------------------
% 1.45/0.55 % (21200)------------------------------
% 1.45/0.55 % (21192)Success in time 0.193 s
%------------------------------------------------------------------------------