TSTP Solution File: LAT374+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT374+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 : n023.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 17:35:29 EDT 2022
% Result : Theorem 2.41s 0.75s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 212 ( 15 unt; 0 def)
% Number of atoms : 1057 ( 29 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 1357 ( 512 ~; 571 |; 195 &)
% ( 34 <=>; 43 =>; 0 <=; 2 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 15 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 229 ( 203 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1741,plain,
$false,
inference(avatar_sat_refutation,[],[f882,f887,f892,f893,f1078,f1092,f1100,f1147,f1157,f1203,f1207,f1253,f1269,f1491,f1492,f1529,f1727,f1740]) ).
fof(f1740,plain,
( ~ spl42_1
| spl42_2
| ~ spl42_56 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1739,plain,
( $false
| ~ spl42_1
| spl42_2
| ~ spl42_56 ),
inference(subsumption_resolution,[],[f1738,f877]) ).
fof(f877,plain,
( m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl42_1
<=> m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f1738,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| spl42_2
| ~ spl42_56 ),
inference(subsumption_resolution,[],[f1737,f666]) ).
fof(f666,plain,
~ v2_setfam_1(sK24),
inference(cnf_transformation,[],[f429]) ).
fof(f429,plain,
( v2_lattice3(sK25)
& v3_orders_2(sK25)
& ( ~ v3_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),sK24)
| ~ v1_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) )
& ( ( v3_lattice3(sK25)
& r2_hidden(u1_struct_0(sK25),sK24)
& v1_orders_2(sK25) )
| m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) )
& l1_orders_2(sK25)
& v2_orders_2(sK25)
& v1_lattice3(sK25)
& v4_orders_2(sK25)
& ~ v2_setfam_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f426,f428,f427]) ).
fof(f427,plain,
( ? [X0] :
( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
& ~ v2_setfam_1(X0) )
=> ( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),sK24)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(sK24))) )
& ( ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),sK24)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(sK24))) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
& ~ v2_setfam_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f428,plain,
( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),sK24)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(sK24))) )
& ( ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),sK24)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(sK24))) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
=> ( v2_lattice3(sK25)
& v3_orders_2(sK25)
& ( ~ v3_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),sK24)
| ~ v1_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) )
& ( ( v3_lattice3(sK25)
& r2_hidden(u1_struct_0(sK25),sK24)
& v1_orders_2(sK25) )
| m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) )
& l1_orders_2(sK25)
& v2_orders_2(sK25)
& v1_lattice3(sK25)
& v4_orders_2(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f426,plain,
? [X0] :
( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f425]) ).
fof(f425,plain,
? [X0] :
( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f340]) ).
fof(f340,plain,
? [X0] :
( ? [X1] :
( v2_lattice3(X1)
& v3_orders_2(X1)
& ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) ) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) ) )
& l1_orders_2(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1) )
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0)
& v1_orders_2(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_waybel34) ).
fof(f1737,plain,
( v2_setfam_1(sK24)
| ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| spl42_2
| ~ spl42_56 ),
inference(resolution,[],[f1734,f1411]) ).
fof(f1411,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k5_waybel34(sK24)))
| ~ m1_subset_1(X0,u1_struct_0(k9_waybel34(sK24))) )
| ~ spl42_56 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f1410,plain,
( spl42_56
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k9_waybel34(sK24)))
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).
fof(f1734,plain,
( ! [X0] :
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1733,f667]) ).
fof(f667,plain,
v4_orders_2(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1733,plain,
( ! [X0] :
( ~ v4_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1732,f668]) ).
fof(f668,plain,
v1_lattice3(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1732,plain,
( ! [X0] :
( ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0)
| ~ v4_orders_2(sK25) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1731,f675]) ).
fof(f675,plain,
v3_orders_2(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1731,plain,
( ! [X0] :
( ~ v3_orders_2(sK25)
| v2_setfam_1(X0)
| ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK25) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1730,f669]) ).
fof(f669,plain,
v2_orders_2(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1730,plain,
( ! [X0] :
( ~ v2_orders_2(sK25)
| ~ v4_orders_2(sK25)
| v2_setfam_1(X0)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v3_orders_2(sK25)
| ~ v1_lattice3(sK25) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1729,f676]) ).
fof(f676,plain,
v2_lattice3(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1729,plain,
( ! [X0] :
( ~ v2_lattice3(sK25)
| ~ v1_lattice3(sK25)
| ~ v2_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0)
| ~ v3_orders_2(sK25)
| ~ v4_orders_2(sK25) )
| spl42_2 ),
inference(subsumption_resolution,[],[f1728,f670]) ).
fof(f670,plain,
l1_orders_2(sK25),
inference(cnf_transformation,[],[f429]) ).
fof(f1728,plain,
( ! [X0] :
( ~ l1_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ v2_lattice3(sK25)
| ~ v3_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK25)
| ~ v2_orders_2(sK25)
| v2_setfam_1(X0) )
| spl42_2 ),
inference(resolution,[],[f880,f534]) ).
fof(f534,plain,
! [X0,X1] :
( v1_orders_2(X1)
| ~ v2_lattice3(X1)
| v2_setfam_1(X0)
| ~ v1_lattice3(X1)
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
! [X0] :
( v2_setfam_1(X0)
| ! [X1] :
( ~ v2_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1)
| ( ( ( v3_lattice3(X1)
& v1_orders_2(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) )
& ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ) ),
inference(flattening,[],[f374]) ).
fof(f374,plain,
! [X0] :
( v2_setfam_1(X0)
| ! [X1] :
( ~ v2_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1)
| ( ( ( v3_lattice3(X1)
& v1_orders_2(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) )
& ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ) ),
inference(nnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( v2_setfam_1(X0)
| ! [X1] :
( ~ v2_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1)
| ( ( v3_lattice3(X1)
& v1_orders_2(X1)
& r2_hidden(u1_struct_0(X1),X0) )
<=> m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) )
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( ( v3_lattice3(X1)
& v1_orders_2(X1)
& r2_hidden(u1_struct_0(X1),X0) )
<=> m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) )
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f131,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v4_orders_2(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1)
& v2_lattice3(X1) )
=> ( ( v3_lattice3(X1)
& v1_orders_2(X1)
& r2_hidden(u1_struct_0(X1),X0) )
<=> m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel34) ).
fof(f880,plain,
( ~ v1_orders_2(sK25)
| spl42_2 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl42_2
<=> v1_orders_2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f1727,plain,
( ~ spl42_1
| spl42_3
| ~ spl42_56 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl42_1
| spl42_3
| ~ spl42_56 ),
inference(subsumption_resolution,[],[f1725,f666]) ).
fof(f1725,plain,
( v2_setfam_1(sK24)
| ~ spl42_1
| spl42_3
| ~ spl42_56 ),
inference(subsumption_resolution,[],[f1724,f877]) ).
fof(f1724,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| v2_setfam_1(sK24)
| spl42_3
| ~ spl42_56 ),
inference(resolution,[],[f1411,f1536]) ).
fof(f1536,plain,
( ! [X0] :
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1535,f668]) ).
fof(f1535,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0))) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1534,f667]) ).
fof(f1534,plain,
( ! [X0] :
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK25)
| ~ v1_lattice3(sK25)
| v2_setfam_1(X0) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1533,f669]) ).
fof(f1533,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ v2_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK25)
| ~ v1_lattice3(sK25) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1532,f676]) ).
fof(f1532,plain,
( ! [X0] :
( ~ v2_lattice3(sK25)
| ~ v4_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(sK25)
| v2_setfam_1(X0)
| ~ v1_lattice3(sK25) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1531,f670]) ).
fof(f1531,plain,
( ! [X0] :
( ~ l1_orders_2(sK25)
| ~ v4_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ v2_lattice3(sK25)
| ~ v2_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) )
| spl42_3 ),
inference(subsumption_resolution,[],[f1530,f675]) ).
fof(f1530,plain,
( ! [X0] :
( ~ v3_orders_2(sK25)
| ~ v4_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ v2_lattice3(sK25)
| ~ v2_orders_2(sK25)
| v2_setfam_1(X0) )
| spl42_3 ),
inference(resolution,[],[f885,f535]) ).
fof(f535,plain,
! [X0,X1] :
( v3_lattice3(X1)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_orders_2(X1)
| v2_setfam_1(X0)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(cnf_transformation,[],[f375]) ).
fof(f885,plain,
( ~ v3_lattice3(sK25)
| spl42_3 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl42_3
<=> v3_lattice3(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f1529,plain,
( spl42_24
| ~ spl42_29
| ~ spl42_55 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1528,plain,
( $false
| spl42_24
| ~ spl42_29
| ~ spl42_55 ),
inference(subsumption_resolution,[],[f1527,f1081]) ).
fof(f1081,plain,
( l2_altcat_1(k9_waybel34(sK24))
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1080,plain,
( spl42_29
<=> l2_altcat_1(k9_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).
fof(f1527,plain,
( ~ l2_altcat_1(k9_waybel34(sK24))
| spl42_24
| ~ spl42_55 ),
inference(resolution,[],[f1525,f518]) ).
fof(f518,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f1525,plain,
( ~ l1_altcat_1(k9_waybel34(sK24))
| spl42_24
| ~ spl42_55 ),
inference(resolution,[],[f1502,f747]) ).
fof(f747,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( l1_altcat_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(f1502,plain,
( ~ l1_struct_0(k9_waybel34(sK24))
| spl42_24
| ~ spl42_55 ),
inference(subsumption_resolution,[],[f1497,f1061]) ).
fof(f1061,plain,
( ~ v3_struct_0(k9_waybel34(sK24))
| spl42_24 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl42_24
<=> v3_struct_0(k9_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f1497,plain,
( v3_struct_0(k9_waybel34(sK24))
| ~ l1_struct_0(k9_waybel34(sK24))
| ~ spl42_55 ),
inference(resolution,[],[f1408,f695]) ).
fof(f695,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f1408,plain,
( v1_xboole_0(u1_struct_0(k9_waybel34(sK24)))
| ~ spl42_55 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1406,plain,
( spl42_55
<=> v1_xboole_0(u1_struct_0(k9_waybel34(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).
fof(f1492,plain,
( spl42_55
| spl42_56
| ~ spl42_31 ),
inference(avatar_split_clause,[],[f1465,f1089,f1410,f1406]) ).
fof(f1089,plain,
( spl42_31
<=> r1_tarski(u1_struct_0(k9_waybel34(sK24)),u1_struct_0(k5_waybel34(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).
fof(f1465,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k9_waybel34(sK24)))
| v1_xboole_0(u1_struct_0(k9_waybel34(sK24)))
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK24))) )
| ~ spl42_31 ),
inference(resolution,[],[f1374,f665]) ).
fof(f665,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f345]) ).
fof(f345,plain,
! [X1,X0] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X1,X0] :
( m1_subset_1(X1,X0)
=> ( v1_xboole_0(X0)
| r2_hidden(X1,X0) ) ),
inference(rectify,[],[f133]) ).
fof(f133,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f1374,plain,
( ! [X1] :
( ~ r2_hidden(X1,u1_struct_0(k9_waybel34(sK24)))
| m1_subset_1(X1,u1_struct_0(k5_waybel34(sK24))) )
| ~ spl42_31 ),
inference(resolution,[],[f1344,f608]) ).
fof(f608,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X2,X1] :
( m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X2,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
& r2_hidden(X2,X0) )
=> m1_subset_1(X2,X1) ),
inference(rectify,[],[f135]) ).
fof(f135,axiom,
! [X1,X2,X0] :
( ( 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(f1344,plain,
( m1_subset_1(u1_struct_0(k9_waybel34(sK24)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK24))))
| ~ spl42_31 ),
inference(resolution,[],[f1091,f796]) ).
fof(f796,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f460]) ).
fof(f460,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(rectify,[],[f459]) ).
fof(f459,plain,
! [X1,X0] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
& ( r1_tarski(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X1,X0] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
<=> r1_tarski(X1,X0) ),
inference(rectify,[],[f134]) ).
fof(f134,axiom,
! [X1,X0] :
( r1_tarski(X0,X1)
<=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f1091,plain,
( r1_tarski(u1_struct_0(k9_waybel34(sK24)),u1_struct_0(k5_waybel34(sK24)))
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1491,plain,
( ~ spl42_1
| spl42_4
| ~ spl42_56 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl42_1
| spl42_4
| ~ spl42_56 ),
inference(subsumption_resolution,[],[f1470,f877]) ).
fof(f1470,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| spl42_4
| ~ spl42_56 ),
inference(resolution,[],[f1411,f1262]) ).
fof(f1262,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| spl42_4 ),
inference(subsumption_resolution,[],[f1261,f670]) ).
fof(f1261,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| ~ l1_orders_2(sK25)
| spl42_4 ),
inference(subsumption_resolution,[],[f1260,f668]) ).
fof(f1260,plain,
( ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| ~ l1_orders_2(sK25)
| spl42_4 ),
inference(subsumption_resolution,[],[f1259,f676]) ).
fof(f1259,plain,
( ~ v2_lattice3(sK25)
| ~ l1_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| spl42_4 ),
inference(subsumption_resolution,[],[f1258,f667]) ).
fof(f1258,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| ~ v4_orders_2(sK25)
| ~ v2_lattice3(sK25)
| ~ v1_lattice3(sK25)
| ~ l1_orders_2(sK25)
| spl42_4 ),
inference(subsumption_resolution,[],[f1257,f675]) ).
fof(f1257,plain,
( ~ v3_orders_2(sK25)
| ~ v2_lattice3(sK25)
| ~ v4_orders_2(sK25)
| ~ l1_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| spl42_4 ),
inference(subsumption_resolution,[],[f1254,f669]) ).
fof(f1254,plain,
( ~ v2_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| ~ v4_orders_2(sK25)
| ~ v2_lattice3(sK25)
| ~ v3_orders_2(sK25)
| ~ l1_orders_2(sK25)
| ~ v1_lattice3(sK25)
| spl42_4 ),
inference(resolution,[],[f891,f896]) ).
fof(f896,plain,
! [X0] :
( r2_hidden(u1_struct_0(X0),sK24)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK24)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(resolution,[],[f666,f533]) ).
fof(f533,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(cnf_transformation,[],[f375]) ).
fof(f891,plain,
( ~ r2_hidden(u1_struct_0(sK25),sK24)
| spl42_4 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl42_4
<=> r2_hidden(u1_struct_0(sK25),sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f1269,plain,
( ~ spl42_16
| spl42_29 ),
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| ~ spl42_16
| spl42_29 ),
inference(subsumption_resolution,[],[f1267,f991]) ).
fof(f991,plain,
( l2_altcat_1(k5_waybel34(sK24))
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl42_16
<=> l2_altcat_1(k5_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f1267,plain,
( ~ l2_altcat_1(k5_waybel34(sK24))
| spl42_29 ),
inference(resolution,[],[f1222,f895]) ).
fof(f895,plain,
m1_altcat_2(k9_waybel34(sK24),k5_waybel34(sK24)),
inference(resolution,[],[f666,f482]) ).
fof(f482,plain,
! [X0] :
( v2_setfam_1(X0)
| m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0] :
( v2_setfam_1(X0)
| ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f1222,plain,
( ! [X0] :
( ~ m1_altcat_2(k9_waybel34(sK24),X0)
| ~ l2_altcat_1(X0) )
| spl42_29 ),
inference(resolution,[],[f1082,f752]) ).
fof(f752,plain,
! [X0,X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ! [X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( m1_altcat_2(X1,X0)
=> l2_altcat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(f1082,plain,
( ~ l2_altcat_1(k9_waybel34(sK24))
| spl42_29 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1253,plain,
( spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_4
| ~ spl42_27 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_4
| ~ spl42_27 ),
inference(subsumption_resolution,[],[f1251,f890]) ).
fof(f890,plain,
( r2_hidden(u1_struct_0(sK25),sK24)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1251,plain,
( ~ r2_hidden(u1_struct_0(sK25),sK24)
| spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_27 ),
inference(subsumption_resolution,[],[f1249,f666]) ).
fof(f1249,plain,
( v2_setfam_1(sK24)
| ~ r2_hidden(u1_struct_0(sK25),sK24)
| spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_27 ),
inference(resolution,[],[f1227,f909]) ).
fof(f909,plain,
( ! [X0] :
( m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ r2_hidden(u1_struct_0(sK25),X0)
| v2_setfam_1(X0) )
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f908,f676]) ).
fof(f908,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ v2_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0))) )
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f907,f668]) ).
fof(f907,plain,
( ! [X0] :
( m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v1_lattice3(sK25)
| v2_setfam_1(X0)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ v2_lattice3(sK25) )
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f906,f670]) ).
fof(f906,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ l1_orders_2(sK25)
| m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v2_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ v1_lattice3(sK25) )
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f905,f667]) ).
fof(f905,plain,
( ! [X0] :
( m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK25)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ v1_lattice3(sK25)
| ~ v2_lattice3(sK25)
| v2_setfam_1(X0)
| ~ l1_orders_2(sK25) )
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f904,f881]) ).
fof(f881,plain,
( v1_orders_2(sK25)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f904,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ v1_orders_2(sK25)
| ~ v4_orders_2(sK25)
| m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v1_lattice3(sK25)
| ~ v2_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ l1_orders_2(sK25) )
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f903,f669]) ).
fof(f903,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ v2_orders_2(sK25)
| m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0)))
| ~ v2_lattice3(sK25)
| ~ v1_lattice3(sK25)
| ~ v1_orders_2(sK25)
| ~ v4_orders_2(sK25)
| ~ l1_orders_2(sK25) )
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f902,f675]) ).
fof(f902,plain,
( ! [X0] :
( v2_setfam_1(X0)
| ~ v3_orders_2(sK25)
| ~ v1_orders_2(sK25)
| ~ v2_orders_2(sK25)
| ~ v4_orders_2(sK25)
| ~ v1_lattice3(sK25)
| ~ r2_hidden(u1_struct_0(sK25),X0)
| ~ l1_orders_2(sK25)
| ~ v2_lattice3(sK25)
| m1_subset_1(sK25,u1_struct_0(k5_waybel34(X0))) )
| ~ spl42_3 ),
inference(resolution,[],[f886,f532]) ).
fof(f532,plain,
! [X0,X1] :
( ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v3_orders_2(X1)
| ~ v1_orders_2(X1)
| v2_setfam_1(X0)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
inference(cnf_transformation,[],[f375]) ).
fof(f886,plain,
( v3_lattice3(sK25)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1227,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k5_waybel34(sK24)))
| spl42_1
| ~ spl42_27 ),
inference(resolution,[],[f1073,f876]) ).
fof(f876,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| spl42_1 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f1073,plain,
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k9_waybel34(sK24)))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(sK24))) )
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1072,plain,
( spl42_27
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k9_waybel34(sK24)))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(sK24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f1207,plain,
spl42_16,
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| spl42_16 ),
inference(subsumption_resolution,[],[f1204,f898]) ).
fof(f898,plain,
~ v1_xboole_0(sK24),
inference(resolution,[],[f666,f498]) ).
fof(f498,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f1204,plain,
( v1_xboole_0(sK24)
| spl42_16 ),
inference(resolution,[],[f992,f512]) ).
fof(f512,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f992,plain,
( ~ l2_altcat_1(k5_waybel34(sK24))
| spl42_16 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1203,plain,
spl42_26,
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1202,plain,
( $false
| spl42_26 ),
inference(subsumption_resolution,[],[f1201,f666]) ).
fof(f1201,plain,
( v2_setfam_1(sK24)
| spl42_26 ),
inference(resolution,[],[f1070,f484]) ).
fof(f484,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1070,plain,
( ~ v3_altcat_2(k9_waybel34(sK24),k5_waybel34(sK24))
| spl42_26 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1068,plain,
( spl42_26
<=> v3_altcat_2(k9_waybel34(sK24),k5_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f1157,plain,
~ spl42_24,
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl42_24 ),
inference(subsumption_resolution,[],[f1150,f666]) ).
fof(f1150,plain,
( v2_setfam_1(sK24)
| ~ spl42_24 ),
inference(resolution,[],[f1062,f486]) ).
fof(f486,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1062,plain,
( v3_struct_0(k9_waybel34(sK24))
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1147,plain,
spl42_28,
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| spl42_28 ),
inference(subsumption_resolution,[],[f1143,f666]) ).
fof(f1143,plain,
( v2_setfam_1(sK24)
| spl42_28 ),
inference(resolution,[],[f1077,f485]) ).
fof(f485,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1077,plain,
( ~ v2_altcat_1(k9_waybel34(sK24))
| spl42_28 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1075,plain,
( spl42_28
<=> v2_altcat_1(k9_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f1100,plain,
spl42_25,
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| spl42_25 ),
inference(subsumption_resolution,[],[f1098,f666]) ).
fof(f1098,plain,
( v2_setfam_1(sK24)
| spl42_25 ),
inference(resolution,[],[f1066,f483]) ).
fof(f483,plain,
! [X0] :
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f1066,plain,
( ~ v6_altcat_1(k9_waybel34(sK24))
| spl42_25 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1064,plain,
( spl42_25
<=> v6_altcat_1(k9_waybel34(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f1092,plain,
( ~ spl42_16
| ~ spl42_29
| spl42_31 ),
inference(avatar_split_clause,[],[f1056,f1089,f1080,f990]) ).
fof(f1056,plain,
( r1_tarski(u1_struct_0(k9_waybel34(sK24)),u1_struct_0(k5_waybel34(sK24)))
| ~ l2_altcat_1(k9_waybel34(sK24))
| ~ l2_altcat_1(k5_waybel34(sK24)) ),
inference(resolution,[],[f895,f611]) ).
fof(f611,plain,
! [X0,X1] :
( ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f399]) ).
fof(f399,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ( ( ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_altcat_2(X1,X0) )
& ( m1_altcat_2(X1,X0)
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f398]) ).
fof(f398,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ( ( ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_altcat_2(X1,X0) )
& ( m1_altcat_2(X1,X0)
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
inference(nnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ( ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
<=> m1_altcat_2(X1,X0) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( l2_altcat_1(X1)
=> ( ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
<=> m1_altcat_2(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_altcat_2) ).
fof(f1078,plain,
( spl42_24
| ~ spl42_25
| ~ spl42_26
| spl42_27
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f1058,f1075,f1072,f1068,f1064,f1060]) ).
fof(f1058,plain,
! [X2] :
( ~ v2_altcat_1(k9_waybel34(sK24))
| m1_subset_1(X2,u1_struct_0(k9_waybel34(sK24)))
| ~ v3_altcat_2(k9_waybel34(sK24),k5_waybel34(sK24))
| ~ v6_altcat_1(k9_waybel34(sK24))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(sK24)))
| v3_struct_0(k9_waybel34(sK24)) ),
inference(subsumption_resolution,[],[f1054,f666]) ).
fof(f1054,plain,
! [X2] :
( m1_subset_1(X2,u1_struct_0(k9_waybel34(sK24)))
| ~ v2_altcat_1(k9_waybel34(sK24))
| ~ v6_altcat_1(k9_waybel34(sK24))
| v2_setfam_1(sK24)
| v3_struct_0(k9_waybel34(sK24))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(sK24)))
| ~ v3_altcat_2(k9_waybel34(sK24),k5_waybel34(sK24)) ),
inference(resolution,[],[f895,f873]) ).
fof(f873,plain,
! [X0,X7] :
( ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| m1_subset_1(X7,u1_struct_0(k9_waybel34(X0)))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) ),
inference(equality_resolution,[],[f624]) ).
fof(f624,plain,
! [X0,X1,X7] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X7,u1_struct_0(X1))
| k9_waybel34(X0) != X1
| ~ v6_altcat_1(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f413,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( ( k9_waybel34(X0) = X1
| ( ~ sP0(sK18(X0,X1),sK19(X0,X1),X1,X0)
& m1_subset_1(sK19(X0,X1),u1_struct_0(k5_waybel34(X0)))
& m1_subset_1(sK18(X0,X1),u1_struct_0(k5_waybel34(X0))) )
| ( m1_subset_1(sK20(X0,X1),u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(sK20(X0,X1),u1_struct_0(X1)) ) )
& ( ( ! [X5] :
( ! [X6] :
( sP0(X5,X6,X1,X0)
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X7,u1_struct_0(X1)) ) )
| k9_waybel34(X0) != X1 ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f409,f412,f411,f410]) ).
fof(f410,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ sP0(X2,X3,X1,X0)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
=> ( ? [X3] :
( ~ sP0(sK18(X0,X1),X3,X1,X0)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(sK18(X0,X1),u1_struct_0(k5_waybel34(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f411,plain,
! [X0,X1] :
( ? [X3] :
( ~ sP0(sK18(X0,X1),X3,X1,X0)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
=> ( ~ sP0(sK18(X0,X1),sK19(X0,X1),X1,X0)
& m1_subset_1(sK19(X0,X1),u1_struct_0(k5_waybel34(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f412,plain,
! [X0,X1] :
( ? [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(X4,u1_struct_0(X1)) )
=> ( m1_subset_1(sK20(X0,X1),u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(sK20(X0,X1),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f409,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( ( k9_waybel34(X0) = X1
| ? [X2] :
( ? [X3] :
( ~ sP0(X2,X3,X1,X0)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(X4,u1_struct_0(X1)) ) )
& ( ( ! [X5] :
( ! [X6] :
( sP0(X5,X6,X1,X0)
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X7,u1_struct_0(X1)) ) )
| k9_waybel34(X0) != X1 ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(rectify,[],[f408]) ).
fof(f408,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( ( k9_waybel34(X0) = X1
| ? [X3] :
( ? [X4] :
( ~ sP0(X3,X4,X1,X0)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(X2,u1_struct_0(X1)) ) )
& ( ( ! [X3] :
( ! [X4] :
( sP0(X3,X4,X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X2,u1_struct_0(X1)) ) )
| k9_waybel34(X0) != X1 ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f407]) ).
fof(f407,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( ( k9_waybel34(X0) = X1
| ? [X3] :
( ? [X4] :
( ~ sP0(X3,X4,X1,X0)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
& ~ m1_subset_1(X2,u1_struct_0(X1)) ) )
& ( ( ! [X3] :
( ! [X4] :
( sP0(X3,X4,X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X2,u1_struct_0(X1)) ) )
| k9_waybel34(X0) != X1 ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( k9_waybel34(X0) = X1
<=> ( ! [X3] :
( ! [X4] :
( sP0(X3,X4,X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X2,u1_struct_0(X1)) ) ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f295,f356]) ).
fof(f356,plain,
! [X3,X4,X1,X0] :
( sP0(X3,X4,X1,X0)
<=> ! [X5] :
( ! [X6] :
( X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1))
| ! [X7] :
( ( v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3))
<=> r2_hidden(X7,k1_altcat_1(X1,X5,X6)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ( k9_waybel34(X0) = X1
<=> ( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1))
| ! [X7] :
( ( v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3))
<=> r2_hidden(X7,k1_altcat_1(X1,X5,X6)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X2,u1_struct_0(X1)) ) ) )
| ~ v6_altcat_1(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3))
<=> r2_hidden(X7,k1_altcat_1(X1,X5,X6)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
<=> k9_waybel34(X0) = X1 )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X0)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4))
=> ( v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3))
<=> r2_hidden(X7,k1_altcat_1(X1,X5,X6)) ) ) ) ) ) ) ) ) )
<=> k9_waybel34(X0) = X1 ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| ! [X6] :
( m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3))
=> ( r2_hidden(X6,k1_altcat_1(X1,X4,X5))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2),k5_yellow21(k5_waybel34(X0),X2,X3,X6)),k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2)) ) ) ) ) ) ) ) ) )
<=> k9_waybel34(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel34) ).
fof(f893,plain,
( spl42_4
| spl42_1 ),
inference(avatar_split_clause,[],[f672,f875,f889]) ).
fof(f672,plain,
( m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24)))
| r2_hidden(u1_struct_0(sK25),sK24) ),
inference(cnf_transformation,[],[f429]) ).
fof(f892,plain,
( ~ spl42_1
| ~ spl42_2
| ~ spl42_3
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f674,f889,f884,f879,f875]) ).
fof(f674,plain,
( ~ r2_hidden(u1_struct_0(sK25),sK24)
| ~ v3_lattice3(sK25)
| ~ v1_orders_2(sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) ),
inference(cnf_transformation,[],[f429]) ).
fof(f887,plain,
( spl42_1
| spl42_3 ),
inference(avatar_split_clause,[],[f673,f884,f875]) ).
fof(f673,plain,
( v3_lattice3(sK25)
| m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) ),
inference(cnf_transformation,[],[f429]) ).
fof(f882,plain,
( spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f671,f879,f875]) ).
fof(f671,plain,
( v1_orders_2(sK25)
| m1_subset_1(sK25,u1_struct_0(k9_waybel34(sK24))) ),
inference(cnf_transformation,[],[f429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LAT374+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 01:44:50 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.48 % (31552)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)
% 0.15/0.49 % (31552)Instruction limit reached!
% 0.15/0.49 % (31552)------------------------------
% 0.15/0.49 % (31552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (31543)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)
% 0.15/0.49 % (31545)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.49 % (31560)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)
% 0.15/0.50 % (31551)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50 % (31544)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)
% 0.15/0.50 % (31552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (31552)Termination reason: Unknown
% 0.15/0.50 % (31552)Termination phase: Property scanning
% 0.15/0.50
% 0.15/0.50 % (31552)Memory used [KB]: 1918
% 0.15/0.50 % (31552)Time elapsed: 0.006 s
% 0.15/0.50 % (31552)Instructions burned: 8 (million)
% 0.15/0.50 % (31552)------------------------------
% 0.15/0.50 % (31552)------------------------------
% 0.15/0.50 % (31551)Instruction limit reached!
% 0.15/0.50 % (31551)------------------------------
% 0.15/0.50 % (31551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (31551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (31551)Termination reason: Unknown
% 0.15/0.50 % (31551)Termination phase: Preprocessing 2
% 0.15/0.50
% 0.15/0.50 % (31551)Memory used [KB]: 1663
% 0.15/0.50 % (31551)Time elapsed: 0.005 s
% 0.15/0.50 % (31551)Instructions burned: 3 (million)
% 0.15/0.50 % (31551)------------------------------
% 0.15/0.50 % (31551)------------------------------
% 0.15/0.50 % (31553)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)
% 0.15/0.50 % (31561)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)
% 0.15/0.50 % (31559)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.52 % (31538)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.52 % (31550)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (31549)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.53 % (31536)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.54/0.54 % (31541)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.54/0.54 % (31538)Instruction limit reached!
% 1.54/0.54 % (31538)------------------------------
% 1.54/0.54 % (31538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.54 % (31538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.54 % (31538)Termination reason: Unknown
% 1.54/0.54 % (31538)Termination phase: Unused predicate definition removal
% 1.54/0.54
% 1.54/0.54 % (31538)Memory used [KB]: 1663
% 1.54/0.54 % (31538)Time elapsed: 0.004 s
% 1.54/0.54 % (31538)Instructions burned: 3 (million)
% 1.54/0.54 % (31542)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.54/0.54 % (31538)------------------------------
% 1.54/0.54 % (31538)------------------------------
% 1.54/0.54 % (31563)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.55 % (31555)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.55 % (31549)Instruction limit reached!
% 1.54/0.55 % (31549)------------------------------
% 1.54/0.55 % (31549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (31549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (31549)Termination reason: Unknown
% 1.54/0.55 % (31549)Termination phase: Saturation
% 1.54/0.55
% 1.54/0.55 % (31549)Memory used [KB]: 1918
% 1.54/0.55 % (31549)Time elapsed: 0.011 s
% 1.54/0.55 % (31549)Instructions burned: 16 (million)
% 1.54/0.55 % (31549)------------------------------
% 1.54/0.55 % (31549)------------------------------
% 1.54/0.55 % (31554)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.55 % (31544)Instruction limit reached!
% 1.54/0.55 % (31544)------------------------------
% 1.54/0.55 % (31544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (31565)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.70/0.56 % (31547)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.70/0.56 % (31566)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.70/0.56 % (31545)Instruction limit reached!
% 1.70/0.56 % (31545)------------------------------
% 1.70/0.56 % (31545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.56 % (31557)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.70/0.56 % (31546)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)
% 1.70/0.56 % (31555)Instruction limit reached!
% 1.70/0.56 % (31555)------------------------------
% 1.70/0.56 % (31555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.56 % (31555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.56 % (31555)Termination reason: Unknown
% 1.70/0.56 % (31555)Termination phase: Preprocessing 3
% 1.70/0.56
% 1.70/0.56 % (31555)Memory used [KB]: 1535
% 1.70/0.56 % (31555)Time elapsed: 0.005 s
% 1.70/0.56 % (31555)Instructions burned: 3 (million)
% 1.70/0.56 % (31555)------------------------------
% 1.70/0.56 % (31555)------------------------------
% 1.70/0.56 % (31543)Instruction limit reached!
% 1.70/0.56 % (31543)------------------------------
% 1.70/0.56 % (31543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.56 % (31543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.56 % (31543)Termination reason: Unknown
% 1.70/0.56 % (31543)Termination phase: Saturation
% 1.70/0.56
% 1.70/0.56 % (31543)Memory used [KB]: 6652
% 1.70/0.56 % (31543)Time elapsed: 0.174 s
% 1.70/0.56 % (31543)Instructions burned: 39 (million)
% 1.70/0.56 % (31543)------------------------------
% 1.70/0.56 % (31543)------------------------------
% 1.70/0.57 % (31558)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.57 % (31565)Instruction limit reached!
% 1.70/0.57 % (31565)------------------------------
% 1.70/0.57 % (31565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (31537)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.70/0.57 % (31542)Instruction limit reached!
% 1.70/0.57 % (31542)------------------------------
% 1.70/0.57 % (31542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (31542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (31542)Termination reason: Unknown
% 1.70/0.57 % (31542)Termination phase: Saturation
% 1.70/0.57
% 1.70/0.57 % (31542)Memory used [KB]: 2046
% 1.70/0.57 % (31542)Time elapsed: 0.011 s
% 1.70/0.57 % (31542)Instructions burned: 16 (million)
% 1.70/0.57 % (31542)------------------------------
% 1.70/0.57 % (31542)------------------------------
% 1.70/0.57 % (31541)Instruction limit reached!
% 1.70/0.57 % (31541)------------------------------
% 1.70/0.57 % (31541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (31554)Instruction limit reached!
% 1.70/0.57 % (31554)------------------------------
% 1.70/0.57 % (31554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (31554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (31554)Termination reason: Unknown
% 1.70/0.57 % (31554)Termination phase: Preprocessing 2
% 1.70/0.57
% 1.70/0.57 % (31554)Memory used [KB]: 1663
% 1.70/0.57 % (31554)Time elapsed: 0.004 s
% 1.70/0.57 % (31554)Instructions burned: 3 (million)
% 1.70/0.57 % (31554)------------------------------
% 1.70/0.57 % (31554)------------------------------
% 1.70/0.57 % (31541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (31541)Termination reason: Unknown
% 1.70/0.57 % (31541)Termination phase: Saturation
% 1.70/0.57
% 1.70/0.57 % (31541)Memory used [KB]: 6268
% 1.70/0.57 % (31541)Time elapsed: 0.186 s
% 1.70/0.57 % (31541)Instructions burned: 13 (million)
% 1.70/0.57 % (31541)------------------------------
% 1.70/0.57 % (31541)------------------------------
% 1.70/0.57 % (31565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (31565)Termination reason: Unknown
% 1.70/0.57 % (31565)Termination phase: Property scanning
% 1.70/0.57
% 1.70/0.57 % (31565)Memory used [KB]: 1918
% 1.70/0.57 % (31565)Time elapsed: 0.007 s
% 1.70/0.57 % (31565)Instructions burned: 8 (million)
% 1.70/0.57 % (31565)------------------------------
% 1.70/0.57 % (31565)------------------------------
% 1.70/0.57 % (31544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (31544)Termination reason: Unknown
% 1.70/0.57 % (31544)Termination phase: Saturation
% 1.70/0.57
% 1.70/0.57 % (31544)Memory used [KB]: 7164
% 1.70/0.57 % (31544)Time elapsed: 0.148 s
% 1.70/0.57 % (31544)Instructions burned: 39 (million)
% 1.70/0.57 % (31544)------------------------------
% 1.70/0.57 % (31544)------------------------------
% 1.70/0.58 % (31545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (31547)Instruction limit reached!
% 1.70/0.58 % (31547)------------------------------
% 1.70/0.58 % (31547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (31547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (31547)Termination reason: Unknown
% 1.70/0.58 % (31547)Termination phase: Property scanning
% 1.70/0.58
% 1.70/0.58 % (31547)Memory used [KB]: 1918
% 1.70/0.58 % (31547)Time elapsed: 0.009 s
% 1.70/0.58 % (31547)Instructions burned: 12 (million)
% 1.70/0.58 % (31547)------------------------------
% 1.70/0.58 % (31547)------------------------------
% 1.70/0.58 % (31545)Termination reason: Unknown
% 1.70/0.58 % (31545)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (31545)Memory used [KB]: 7164
% 1.70/0.58 % (31545)Time elapsed: 0.158 s
% 1.70/0.58 % (31545)Instructions burned: 49 (million)
% 1.70/0.58 % (31545)------------------------------
% 1.70/0.58 % (31545)------------------------------
% 1.70/0.58 % (31561)Instruction limit reached!
% 1.70/0.58 % (31561)------------------------------
% 1.70/0.58 % (31561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (31561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (31561)Termination reason: Unknown
% 1.70/0.59 % (31561)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (31561)Memory used [KB]: 6780
% 1.70/0.59 % (31561)Time elapsed: 0.180 s
% 1.70/0.59 % (31561)Instructions burned: 50 (million)
% 1.70/0.59 % (31561)------------------------------
% 1.70/0.59 % (31561)------------------------------
% 1.70/0.59 % (31560)Instruction limit reached!
% 1.70/0.59 % (31560)------------------------------
% 1.70/0.59 % (31560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (31556)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)
% 1.70/0.59 % (31560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (31560)Termination reason: Unknown
% 1.70/0.59 % (31560)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (31560)Memory used [KB]: 2558
% 1.70/0.59 % (31560)Time elapsed: 0.190 s
% 1.70/0.59 % (31560)Instructions burned: 46 (million)
% 1.70/0.59 % (31560)------------------------------
% 1.70/0.59 % (31560)------------------------------
% 1.70/0.59 % (31553)Instruction limit reached!
% 1.70/0.59 % (31553)------------------------------
% 1.70/0.59 % (31553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (31548)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)
% 1.70/0.59 % (31553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (31553)Termination reason: Unknown
% 1.70/0.59 % (31553)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (31553)Memory used [KB]: 7547
% 1.70/0.59 % (31553)Time elapsed: 0.199 s
% 1.70/0.59 % (31553)Instructions burned: 51 (million)
% 1.70/0.59 % (31553)------------------------------
% 1.70/0.59 % (31553)------------------------------
% 1.70/0.60 % (31539)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.60 % (31537)Refutation not found, incomplete strategy% (31537)------------------------------
% 1.70/0.60 % (31537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (31537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (31537)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.60
% 1.70/0.60 % (31537)Memory used [KB]: 6396
% 1.70/0.60 % (31537)Time elapsed: 0.183 s
% 1.70/0.60 % (31537)Instructions burned: 11 (million)
% 1.70/0.60 % (31537)------------------------------
% 1.70/0.60 % (31537)------------------------------
% 1.70/0.61 % (31564)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.70/0.61 % (31557)Instruction limit reached!
% 1.70/0.61 % (31557)------------------------------
% 1.70/0.61 % (31557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61 % (31566)Instruction limit reached!
% 1.70/0.61 % (31566)------------------------------
% 1.70/0.61 % (31566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61 % (31566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61 % (31566)Termination reason: Unknown
% 1.70/0.61 % (31566)Termination phase: Saturation
% 1.70/0.61
% 1.70/0.61 % (31566)Memory used [KB]: 6524
% 1.70/0.61 % (31566)Time elapsed: 0.017 s
% 1.70/0.61 % (31566)Instructions burned: 24 (million)
% 1.70/0.61 % (31566)------------------------------
% 1.70/0.61 % (31566)------------------------------
% 1.70/0.61 % (31562)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.70/0.61 % (31557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61 % (31557)Termination reason: Unknown
% 1.70/0.61 % (31557)Termination phase: Saturation
% 1.70/0.61
% 1.70/0.61 % (31557)Memory used [KB]: 6780
% 1.70/0.61 % (31557)Time elapsed: 0.218 s
% 1.70/0.61 % (31557)Instructions burned: 31 (million)
% 1.70/0.61 % (31557)------------------------------
% 1.70/0.61 % (31557)------------------------------
% 1.70/0.62 % (31556)Instruction limit reached!
% 1.70/0.62 % (31556)------------------------------
% 1.70/0.62 % (31556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (31556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (31556)Termination reason: Unknown
% 1.70/0.62 % (31556)Termination phase: Property scanning
% 1.70/0.62
% 1.70/0.62 % (31556)Memory used [KB]: 1791
% 1.70/0.62 % (31556)Time elapsed: 0.009 s
% 1.70/0.62 % (31556)Instructions burned: 11 (million)
% 1.70/0.62 % (31556)------------------------------
% 1.70/0.62 % (31556)------------------------------
% 1.70/0.62 % (31548)Instruction limit reached!
% 1.70/0.62 % (31548)------------------------------
% 1.70/0.62 % (31548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (31548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (31548)Termination reason: Unknown
% 1.70/0.62 % (31548)Termination phase: Clausification
% 1.70/0.62
% 1.70/0.62 % (31548)Memory used [KB]: 1918
% 1.70/0.62 % (31548)Time elapsed: 0.007 s
% 1.70/0.62 % (31548)Instructions burned: 8 (million)
% 1.70/0.62 % (31548)------------------------------
% 1.70/0.62 % (31548)------------------------------
% 1.70/0.63 % (31539)Refutation not found, incomplete strategy% (31539)------------------------------
% 1.70/0.63 % (31539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63 % (31539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63 % (31539)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.63
% 1.70/0.63 % (31539)Memory used [KB]: 6396
% 1.70/0.63 % (31550)Instruction limit reached!
% 1.70/0.63 % (31550)------------------------------
% 1.70/0.63 % (31550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63 % (31550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63 % (31550)Termination reason: Unknown
% 1.70/0.63 % (31550)Termination phase: Saturation
% 1.70/0.63
% 1.70/0.63 % (31550)Memory used [KB]: 7419
% 1.70/0.63 % (31550)Time elapsed: 0.246 s
% 1.70/0.63 % (31550)Instructions burned: 52 (million)
% 1.70/0.63 % (31550)------------------------------
% 1.70/0.63 % (31550)------------------------------
% 1.70/0.64 % (31539)Time elapsed: 0.236 s
% 1.70/0.64 % (31539)Instructions burned: 11 (million)
% 1.70/0.64 % (31539)------------------------------
% 1.70/0.64 % (31539)------------------------------
% 1.70/0.65 % (31546)Instruction limit reached!
% 1.70/0.65 % (31546)------------------------------
% 1.70/0.65 % (31546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.65 % (31546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.65 % (31546)Termination reason: Unknown
% 1.70/0.65 % (31546)Termination phase: Saturation
% 1.70/0.65
% 1.70/0.65 % (31546)Memory used [KB]: 7036
% 1.70/0.65 % (31546)Time elapsed: 0.223 s
% 1.70/0.65 % (31546)Instructions burned: 33 (million)
% 1.70/0.65 % (31546)------------------------------
% 1.70/0.65 % (31546)------------------------------
% 2.26/0.66 % (31564)Instruction limit reached!
% 2.26/0.66 % (31564)------------------------------
% 2.26/0.66 % (31564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66 % (31564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66 % (31564)Termination reason: Unknown
% 2.26/0.66 % (31564)Termination phase: Saturation
% 2.26/0.66
% 2.26/0.66 % (31564)Memory used [KB]: 6780
% 2.26/0.66 % (31564)Time elapsed: 0.265 s
% 2.26/0.66 % (31564)Instructions burned: 26 (million)
% 2.26/0.66 % (31564)------------------------------
% 2.26/0.66 % (31564)------------------------------
% 2.26/0.68 % (31567)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.26/0.68 % (31567)Refutation not found, incomplete strategy% (31567)------------------------------
% 2.26/0.68 % (31567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68 % (31559)Instruction limit reached!
% 2.26/0.68 % (31559)------------------------------
% 2.26/0.68 % (31559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68 % (31559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.68 % (31559)Termination reason: Unknown
% 2.26/0.68 % (31559)Termination phase: Saturation
% 2.26/0.68
% 2.26/0.68 % (31559)Memory used [KB]: 7547
% 2.26/0.68 % (31559)Time elapsed: 0.260 s
% 2.26/0.68 % (31559)Instructions burned: 82 (million)
% 2.26/0.68 % (31559)------------------------------
% 2.26/0.68 % (31559)------------------------------
% 2.26/0.69 % (31568)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.35/0.70 % (31567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.70 % (31567)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.70
% 2.35/0.70 % (31567)Memory used [KB]: 6140
% 2.35/0.70 % (31567)Time elapsed: 0.138 s
% 2.35/0.70 % (31567)Instructions burned: 3 (million)
% 2.35/0.70 % (31567)------------------------------
% 2.35/0.70 % (31567)------------------------------
% 2.35/0.71 % (31568)Instruction limit reached!
% 2.35/0.71 % (31568)------------------------------
% 2.35/0.71 % (31568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.71 % (31568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.71 % (31568)Termination reason: Unknown
% 2.35/0.71 % (31568)Termination phase: Saturation
% 2.35/0.71
% 2.35/0.71 % (31568)Memory used [KB]: 10746
% 2.35/0.71 % (31568)Time elapsed: 0.126 s
% 2.35/0.71 % (31568)Instructions burned: 7 (million)
% 2.35/0.71 % (31568)------------------------------
% 2.35/0.71 % (31568)------------------------------
% 2.35/0.72 % (31563)First to succeed.
% 2.35/0.73 % (31569)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.41/0.74 % (31576)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.41/0.74 % (31575)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.41/0.74 % (31579)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.41/0.74 % (31570)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.41/0.75 % (31563)Refutation found. Thanks to Tanya!
% 2.41/0.75 % SZS status Theorem for theBenchmark
% 2.41/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.75 % (31563)------------------------------
% 2.41/0.75 % (31563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.75 % (31563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.75 % (31563)Termination reason: Refutation
% 2.41/0.75
% 2.41/0.75 % (31563)Memory used [KB]: 7675
% 2.41/0.75 % (31563)Time elapsed: 0.307 s
% 2.41/0.75 % (31563)Instructions burned: 53 (million)
% 2.41/0.75 % (31563)------------------------------
% 2.41/0.75 % (31563)------------------------------
% 2.41/0.75 % (31535)Success in time 0.427 s
%------------------------------------------------------------------------------