TSTP Solution File: LAT372+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT372+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n027.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 : Thu Aug 31 06:38:18 EDT 2023
% Result : Theorem 2.40s 0.83s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 34
% Syntax : Number of formulae : 262 ( 44 unt; 0 def)
% Number of atoms : 1050 ( 113 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1296 ( 508 ~; 594 |; 138 &)
% ( 16 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 8 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 315 (; 304 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13585,plain,
$false,
inference(avatar_sat_refutation,[],[f2420,f2427,f2433,f2439,f5297,f7274,f13569,f13576]) ).
fof(f13576,plain,
spl20_163,
inference(avatar_contradiction_clause,[],[f13575]) ).
fof(f13575,plain,
( $false
| spl20_163 ),
inference(subsumption_resolution,[],[f13574,f1345]) ).
fof(f1345,plain,
r1_yellow_0(sK1,k1_tarski(k3_yellow_0(sK1))),
inference(backward_demodulation,[],[f1332,f1342]) ).
fof(f1342,plain,
k1_struct_0(sK1,k3_yellow_0(sK1)) = k1_tarski(k3_yellow_0(sK1)),
inference(subsumption_resolution,[],[f1341,f276]) ).
fof(f276,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ~ v18_waybel_0(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK0,sK1)
& l1_orders_2(sK1)
& v1_yellow_0(sK1)
& v4_orders_2(sK1)
& v2_orders_2(sK1)
& ~ v3_struct_0(sK1)
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f122,f228,f227]) ).
fof(f227,plain,
( ? [X0] :
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1)
& l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(sK0,X1,k3_yellow_0(X1)),sK0,X1)
& l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(sK0,X1,k3_yellow_0(X1)),sK0,X1)
& l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( ~ v18_waybel_0(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK0,sK1)
& l1_orders_2(sK1)
& v1_yellow_0(sK1)
& v4_orders_2(sK1)
& v2_orders_2(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0] :
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1)
& l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
? [X0] :
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1)
& l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t45_waybel34) ).
fof(f1341,plain,
( k1_struct_0(sK1,k3_yellow_0(sK1)) = k1_tarski(k3_yellow_0(sK1))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1297,f892]) ).
fof(f892,plain,
l1_struct_0(sK1),
inference(resolution,[],[f280,f311]) ).
fof(f311,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',dt_l1_orders_2) ).
fof(f280,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f1297,plain,
( k1_struct_0(sK1,k3_yellow_0(sK1)) = k1_tarski(k3_yellow_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f893,f387]) ).
fof(f387,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',redefinition_k1_struct_0) ).
fof(f893,plain,
m1_subset_1(k3_yellow_0(sK1),u1_struct_0(sK1)),
inference(resolution,[],[f280,f312]) ).
fof(f312,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',dt_k3_yellow_0) ).
fof(f1332,plain,
r1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1))),
inference(subsumption_resolution,[],[f1331,f276]) ).
fof(f1331,plain,
( r1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1330,f277]) ).
fof(f277,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f1330,plain,
( r1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1329,f278]) ).
fof(f278,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f1329,plain,
( r1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1294,f280]) ).
fof(f1294,plain,
( r1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f893,f362]) ).
fof(f362,plain,
! [X0,X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_yellow_0(X0,k1_struct_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( r2_yellow_0(X0,k1_struct_0(X0,X1))
& r1_yellow_0(X0,k1_struct_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t38_yellow_0) ).
fof(f13574,plain,
( ~ r1_yellow_0(sK1,k1_tarski(k3_yellow_0(sK1)))
| spl20_163 ),
inference(backward_demodulation,[],[f13570,f13571]) ).
fof(f13571,plain,
( k1_tarski(k3_yellow_0(sK1)) = k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))
| spl20_163 ),
inference(resolution,[],[f13570,f5203]) ).
fof(f5203,plain,
! [X6,X7,X5] :
( r1_yellow_0(sK1,k9_relat_1(k2_funcop_1(X6,X5),X7))
| k1_tarski(X5) = k9_relat_1(k2_funcop_1(X6,X5),X7) ),
inference(resolution,[],[f1088,f418]) ).
fof(f418,plain,
! [X2,X0,X1] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0,X1,X2] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t6_borsuk_1) ).
fof(f1088,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| r1_yellow_0(sK1,X0) ),
inference(superposition,[],[f745,f409]) ).
fof(f409,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 ) )
& ( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 ) )
& ( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( k1_tarski(X1) = X0
| k1_xboole_0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t39_zfmisc_1) ).
fof(f745,plain,
r1_yellow_0(sK1,k1_xboole_0),
inference(subsumption_resolution,[],[f744,f278]) ).
fof(f744,plain,
( r1_yellow_0(sK1,k1_xboole_0)
| ~ v4_orders_2(sK1) ),
inference(subsumption_resolution,[],[f743,f279]) ).
fof(f279,plain,
v1_yellow_0(sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f743,plain,
( r1_yellow_0(sK1,k1_xboole_0)
| ~ v1_yellow_0(sK1)
| ~ v4_orders_2(sK1) ),
inference(subsumption_resolution,[],[f687,f280]) ).
fof(f687,plain,
( r1_yellow_0(sK1,k1_xboole_0)
| ~ l1_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ v4_orders_2(sK1) ),
inference(resolution,[],[f276,f361]) ).
fof(f361,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v4_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v4_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v4_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& ~ v3_struct_0(X0) )
=> r1_yellow_0(X0,k1_xboole_0) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f98,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( r2_yellow_0(X0,u1_struct_0(X0))
& r1_yellow_0(X0,k1_xboole_0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t42_yellow_0) ).
fof(f13570,plain,
( ~ r1_yellow_0(sK1,k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_163 ),
inference(forward_demodulation,[],[f7273,f13315]) ).
fof(f13315,plain,
! [X2] : k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),X2) = k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),X2),
inference(resolution,[],[f3701,f593]) ).
fof(f593,plain,
l1_struct_0(sK0),
inference(resolution,[],[f275,f311]) ).
fof(f275,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f229]) ).
fof(f3701,plain,
! [X18,X19] :
( ~ l1_struct_0(X18)
| k4_pre_topc(X18,sK1,k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19) = k9_relat_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19) ),
inference(subsumption_resolution,[],[f3700,f892]) ).
fof(f3700,plain,
! [X18,X19] :
( k4_pre_topc(X18,sK1,k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19) = k9_relat_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X18) ),
inference(subsumption_resolution,[],[f3699,f1366]) ).
fof(f1366,plain,
! [X9] : v1_funct_1(k2_funcop_1(X9,k3_yellow_0(sK1))),
inference(forward_demodulation,[],[f1365,f1363]) ).
fof(f1363,plain,
! [X8] : k1_borsuk_1(u1_struct_0(sK1),X8,k3_yellow_0(sK1)) = k2_funcop_1(X8,k3_yellow_0(sK1)),
inference(subsumption_resolution,[],[f1321,f1066]) ).
fof(f1066,plain,
~ v1_xboole_0(u1_struct_0(sK1)),
inference(subsumption_resolution,[],[f1044,f276]) ).
fof(f1044,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(resolution,[],[f892,f365]) ).
fof(f365,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',fc1_struct_0) ).
fof(f1321,plain,
! [X8] :
( k1_borsuk_1(u1_struct_0(sK1),X8,k3_yellow_0(sK1)) = k2_funcop_1(X8,k3_yellow_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f893,f422]) ).
fof(f422,plain,
! [X2,X0,X1] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,X0)
& ~ v1_xboole_0(X0) )
=> k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',redefinition_k1_borsuk_1) ).
fof(f1365,plain,
! [X9] : v1_funct_1(k1_borsuk_1(u1_struct_0(sK1),X9,k3_yellow_0(sK1))),
inference(subsumption_resolution,[],[f1322,f1066]) ).
fof(f1322,plain,
! [X9] :
( v1_funct_1(k1_borsuk_1(u1_struct_0(sK1),X9,k3_yellow_0(sK1)))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f893,f423]) ).
fof(f423,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_borsuk_1(X0,X1,X2))
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_1(k1_borsuk_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_1(k1_borsuk_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,X0)
& ~ v1_xboole_0(X0) )
=> ( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& v1_funct_1(k1_borsuk_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',dt_k1_borsuk_1) ).
fof(f3699,plain,
! [X18,X19] :
( k4_pre_topc(X18,sK1,k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19) = k9_relat_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19)
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X18) ),
inference(subsumption_resolution,[],[f3635,f1371]) ).
fof(f1371,plain,
! [X11] : m1_relset_1(k2_funcop_1(X11,k3_yellow_0(sK1)),X11,u1_struct_0(sK1)),
inference(forward_literal_rewriting,[],[f1370,f430]) ).
fof(f430,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',redefinition_m2_relset_1) ).
fof(f1370,plain,
! [X11] : m2_relset_1(k2_funcop_1(X11,k3_yellow_0(sK1)),X11,u1_struct_0(sK1)),
inference(forward_demodulation,[],[f1369,f1363]) ).
fof(f1369,plain,
! [X11] : m2_relset_1(k1_borsuk_1(u1_struct_0(sK1),X11,k3_yellow_0(sK1)),X11,u1_struct_0(sK1)),
inference(subsumption_resolution,[],[f1324,f1066]) ).
fof(f1324,plain,
! [X11] :
( m2_relset_1(k1_borsuk_1(u1_struct_0(sK1),X11,k3_yellow_0(sK1)),X11,u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f893,f425]) ).
fof(f425,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f3635,plain,
! [X18,X19] :
( k4_pre_topc(X18,sK1,k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19) = k9_relat_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),X19)
| ~ m1_relset_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)),u1_struct_0(X18),u1_struct_0(sK1))
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(X18),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X18) ),
inference(resolution,[],[f1368,f438]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& l1_struct_0(X0) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',redefinition_k4_pre_topc) ).
fof(f1368,plain,
! [X10] : v1_funct_2(k2_funcop_1(X10,k3_yellow_0(sK1)),X10,u1_struct_0(sK1)),
inference(forward_demodulation,[],[f1367,f1363]) ).
fof(f1367,plain,
! [X10] : v1_funct_2(k1_borsuk_1(u1_struct_0(sK1),X10,k3_yellow_0(sK1)),X10,u1_struct_0(sK1)),
inference(subsumption_resolution,[],[f1323,f1066]) ).
fof(f1323,plain,
! [X10] :
( v1_funct_2(k1_borsuk_1(u1_struct_0(sK1),X10,k3_yellow_0(sK1)),X10,u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f893,f424]) ).
fof(f424,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f7273,plain,
( ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_163 ),
inference(avatar_component_clause,[],[f7272]) ).
fof(f7272,plain,
( spl20_163
<=> r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f13569,plain,
spl20_162,
inference(avatar_contradiction_clause,[],[f13568]) ).
fof(f13568,plain,
( $false
| spl20_162 ),
inference(subsumption_resolution,[],[f13566,f1344]) ).
fof(f1344,plain,
k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_tarski(k3_yellow_0(sK1))),
inference(backward_demodulation,[],[f1336,f1342]) ).
fof(f1336,plain,
k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1))),
inference(subsumption_resolution,[],[f1335,f276]) ).
fof(f1335,plain,
( k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1334,f277]) ).
fof(f1334,plain,
( k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1333,f278]) ).
fof(f1333,plain,
( k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1295,f280]) ).
fof(f1295,plain,
( k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_struct_0(sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f893,f363]) ).
fof(f363,plain,
! [X0,X1] :
( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t39_yellow_0) ).
fof(f13566,plain,
( k3_yellow_0(sK1) != k1_yellow_0(sK1,k1_tarski(k3_yellow_0(sK1)))
| spl20_162 ),
inference(backward_demodulation,[],[f13319,f13564]) ).
fof(f13564,plain,
( k1_tarski(k3_yellow_0(sK1)) = k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))
| spl20_162 ),
inference(trivial_inequality_removal,[],[f13563]) ).
fof(f13563,plain,
( k3_yellow_0(sK1) != k3_yellow_0(sK1)
| k1_tarski(k3_yellow_0(sK1)) = k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))
| spl20_162 ),
inference(superposition,[],[f13319,f5567]) ).
fof(f5567,plain,
! [X6,X7,X5] :
( k3_yellow_0(sK1) = k1_yellow_0(sK1,k9_relat_1(k2_funcop_1(X6,X5),X7))
| k1_tarski(X5) = k9_relat_1(k2_funcop_1(X6,X5),X7) ),
inference(resolution,[],[f1547,f418]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k3_yellow_0(sK1) = k1_yellow_0(sK1,X0) ),
inference(superposition,[],[f894,f409]) ).
fof(f894,plain,
k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_xboole_0),
inference(resolution,[],[f280,f313]) ).
fof(f313,plain,
! [X0] :
( k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(X0)
=> k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',d11_yellow_0) ).
fof(f13319,plain,
( k3_yellow_0(sK1) != k1_yellow_0(sK1,k9_relat_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_162 ),
inference(backward_demodulation,[],[f7286,f13315]) ).
fof(f7286,plain,
( k3_yellow_0(sK1) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_162 ),
inference(forward_demodulation,[],[f7285,f2913]) ).
fof(f2913,plain,
! [X3,X4] : k1_funct_1(k2_funcop_1(u1_struct_0(sK0),X3),k1_yellow_0(sK0,X4)) = X3,
inference(resolution,[],[f1529,f419]) ).
fof(f419,plain,
! [X2,X0,X1] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0,X1,X2] :
( r2_hidden(X1,X0)
=> k1_funct_1(k2_funcop_1(X0,X2),X1) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t13_funcop_1) ).
fof(f1529,plain,
! [X35] : r2_hidden(k1_yellow_0(sK0,X35),u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f1490,f1022]) ).
fof(f1022,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f1000,f274]) ).
fof(f274,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f229]) ).
fof(f1000,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f593,f365]) ).
fof(f1490,plain,
! [X35] :
( r2_hidden(k1_yellow_0(sK0,X35),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f615,f383]) ).
fof(f383,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t2_subset) ).
fof(f615,plain,
! [X42] : m1_subset_1(k1_yellow_0(sK0,X42),u1_struct_0(sK0)),
inference(resolution,[],[f275,f380]) ).
fof(f380,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',dt_k1_yellow_0) ).
fof(f7285,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_162 ),
inference(subsumption_resolution,[],[f7284,f274]) ).
fof(f7284,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7283,f593]) ).
fof(f7283,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7282,f276]) ).
fof(f7282,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7281,f892]) ).
fof(f7281,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7280,f1366]) ).
fof(f7280,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7279,f1368]) ).
fof(f7279,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ v1_funct_2(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7278,f1371]) ).
fof(f7278,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ m1_relset_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(subsumption_resolution,[],[f7276,f615]) ).
fof(f7276,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ m1_subset_1(k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))),u1_struct_0(sK0))
| ~ m1_relset_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| spl20_162 ),
inference(superposition,[],[f7270,f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X0))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',redefinition_k1_waybel_0) ).
fof(f7270,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| spl20_162 ),
inference(avatar_component_clause,[],[f7269]) ).
fof(f7269,plain,
( spl20_162
<=> k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) = k1_waybel_0(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f7274,plain,
( ~ spl20_162
| ~ spl20_163
| ~ spl20_55
| spl20_57 ),
inference(avatar_split_clause,[],[f5379,f2437,f2415,f7272,f7269]) ).
fof(f2415,plain,
( spl20_55
<=> r1_tarski(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f2437,plain,
( spl20_57
<=> r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f5379,plain,
( ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ spl20_55
| spl20_57 ),
inference(forward_demodulation,[],[f5376,f5365]) ).
fof(f5365,plain,
k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)) = k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),
inference(resolution,[],[f1364,f593]) ).
fof(f1364,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k3_borsuk_1(X0,sK1,k3_yellow_0(sK1)) = k2_funcop_1(u1_struct_0(X0),k3_yellow_0(sK1)) ),
inference(backward_demodulation,[],[f1328,f1363]) ).
fof(f1328,plain,
! [X0] :
( k3_borsuk_1(X0,sK1,k3_yellow_0(sK1)) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),k3_yellow_0(sK1))
| ~ l1_struct_0(X0) ),
inference(subsumption_resolution,[],[f1327,f276]) ).
fof(f1327,plain,
! [X0] :
( k3_borsuk_1(X0,sK1,k3_yellow_0(sK1)) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),k3_yellow_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(X0) ),
inference(subsumption_resolution,[],[f1293,f892]) ).
fof(f1293,plain,
! [X0] :
( k3_borsuk_1(X0,sK1,k3_yellow_0(sK1)) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),k3_yellow_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f893,f310]) ).
fof(f310,plain,
! [X2,X0,X1] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',d3_borsuk_1) ).
fof(f5376,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k2_funcop_1(u1_struct_0(sK0),k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ spl20_55
| spl20_57 ),
inference(backward_demodulation,[],[f5322,f5365]) ).
fof(f5322,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ spl20_55
| spl20_57 ),
inference(subsumption_resolution,[],[f5321,f5292]) ).
fof(f5292,plain,
m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f1356,f593]) ).
fof(f1356,plain,
! [X3] :
( ~ l1_struct_0(X3)
| m1_relset_1(k3_borsuk_1(X3,sK1,k3_yellow_0(sK1)),u1_struct_0(X3),u1_struct_0(sK1)) ),
inference(forward_literal_rewriting,[],[f1355,f430]) ).
fof(f1355,plain,
! [X3] :
( m2_relset_1(k3_borsuk_1(X3,sK1,k3_yellow_0(sK1)),u1_struct_0(X3),u1_struct_0(sK1))
| ~ l1_struct_0(X3) ),
inference(subsumption_resolution,[],[f1354,f276]) ).
fof(f1354,plain,
! [X3] :
( m2_relset_1(k3_borsuk_1(X3,sK1,k3_yellow_0(sK1)),u1_struct_0(X3),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(X3) ),
inference(subsumption_resolution,[],[f1301,f892]) ).
fof(f1301,plain,
! [X3] :
( m2_relset_1(k3_borsuk_1(X3,sK1,k3_yellow_0(sK1)),u1_struct_0(X3),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(X3) ),
inference(resolution,[],[f893,f428]) ).
fof(f428,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_borsuk_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_borsuk_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& l1_struct_0(X0) )
=> ( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_borsuk_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',dt_k3_borsuk_1) ).
fof(f5321,plain,
( ~ m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ spl20_55
| spl20_57 ),
inference(forward_literal_rewriting,[],[f5320,f431]) ).
fof(f431,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f5320,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl20_55
| spl20_57 ),
inference(subsumption_resolution,[],[f5319,f2416]) ).
fof(f2416,plain,
( r1_tarski(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),u1_struct_0(sK0))
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f5319,plain,
( ~ r1_tarski(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),u1_struct_0(sK0))
| k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_57 ),
inference(forward_literal_rewriting,[],[f5318,f413]) ).
fof(f413,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,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(nnf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',t3_subset) ).
fof(f5318,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_57 ),
inference(subsumption_resolution,[],[f5317,f274]) ).
fof(f5317,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| spl20_57 ),
inference(subsumption_resolution,[],[f5316,f275]) ).
fof(f5316,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| spl20_57 ),
inference(subsumption_resolution,[],[f5315,f276]) ).
fof(f5315,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| spl20_57 ),
inference(subsumption_resolution,[],[f5314,f280]) ).
fof(f5314,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| spl20_57 ),
inference(subsumption_resolution,[],[f5313,f3620]) ).
fof(f3620,plain,
v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),
inference(resolution,[],[f1351,f593]) ).
fof(f1351,plain,
! [X1] :
( ~ l1_struct_0(X1)
| v1_funct_1(k3_borsuk_1(X1,sK1,k3_yellow_0(sK1))) ),
inference(subsumption_resolution,[],[f1350,f276]) ).
fof(f1350,plain,
! [X1] :
( v1_funct_1(k3_borsuk_1(X1,sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK1)
| ~ l1_struct_0(X1) ),
inference(subsumption_resolution,[],[f1299,f892]) ).
fof(f1299,plain,
! [X1] :
( v1_funct_1(k3_borsuk_1(X1,sK1,k3_yellow_0(sK1)))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(X1) ),
inference(resolution,[],[f893,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( v1_funct_1(k3_borsuk_1(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f5313,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| spl20_57 ),
inference(subsumption_resolution,[],[f5301,f5280]) ).
fof(f5280,plain,
v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f1353,f593]) ).
fof(f1353,plain,
! [X2] :
( ~ l1_struct_0(X2)
| v1_funct_2(k3_borsuk_1(X2,sK1,k3_yellow_0(sK1)),u1_struct_0(X2),u1_struct_0(sK1)) ),
inference(subsumption_resolution,[],[f1352,f276]) ).
fof(f1352,plain,
! [X2] :
( v1_funct_2(k3_borsuk_1(X2,sK1,k3_yellow_0(sK1)),u1_struct_0(X2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(X2) ),
inference(subsumption_resolution,[],[f1300,f892]) ).
fof(f1300,plain,
! [X2] :
( v1_funct_2(k3_borsuk_1(X2,sK1,k3_yellow_0(sK1)),u1_struct_0(X2),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(X2) ),
inference(resolution,[],[f893,f427]) ).
fof(f427,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f5301,plain,
( k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))) != k1_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),k1_yellow_0(sK0,sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))))
| ~ m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| spl20_57 ),
inference(resolution,[],[f2438,f374]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( r4_waybel_0(X0,X1,X2,X3)
| k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
| ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
| ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
& r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
| ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
& r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
& r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
& r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r4_waybel_0(X0,X1,X2,X3)
<=> ( r1_yellow_0(X0,X3)
=> ( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
& r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',d31_waybel_0) ).
fof(f2438,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| spl20_57 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f5297,plain,
spl20_56,
inference(avatar_contradiction_clause,[],[f5296]) ).
fof(f5296,plain,
( $false
| spl20_56 ),
inference(subsumption_resolution,[],[f5292,f2419]) ).
fof(f2419,plain,
( ~ m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_56 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2418,plain,
( spl20_56
<=> m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f2439,plain,
( ~ spl20_53
| ~ spl20_54
| ~ spl20_57
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f997,f2418,f2437,f2412,f2409]) ).
fof(f2409,plain,
( spl20_53
<=> v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f2412,plain,
( spl20_54
<=> v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f997,plain,
( ~ m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
inference(forward_literal_rewriting,[],[f996,f431]) ).
fof(f996,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
inference(subsumption_resolution,[],[f995,f274]) ).
fof(f995,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f994,f275]) ).
fof(f994,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f993,f276]) ).
fof(f993,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f986,f280]) ).
fof(f986,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f281,f370]) ).
fof(f370,plain,
! [X2,X0,X1] :
( v18_waybel_0(X2,X0,X1)
| ~ r4_waybel_0(X0,X1,X2,sK5(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X1,X2))
& m1_subset_1(sK5(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f237,f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X1,X2))
& m1_subset_1(sK5(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r4_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504',d33_waybel_0) ).
fof(f281,plain,
~ v18_waybel_0(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK0,sK1),
inference(cnf_transformation,[],[f229]) ).
fof(f2433,plain,
spl20_54,
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2432,plain,
( $false
| spl20_54 ),
inference(subsumption_resolution,[],[f2431,f593]) ).
fof(f2431,plain,
( ~ l1_struct_0(sK0)
| spl20_54 ),
inference(subsumption_resolution,[],[f2430,f276]) ).
fof(f2430,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_54 ),
inference(subsumption_resolution,[],[f2429,f892]) ).
fof(f2429,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_54 ),
inference(subsumption_resolution,[],[f2428,f893]) ).
fof(f2428,plain,
( ~ m1_subset_1(k3_yellow_0(sK1),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_54 ),
inference(resolution,[],[f2413,f427]) ).
fof(f2413,plain,
( ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_54 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f2427,plain,
spl20_53,
inference(avatar_contradiction_clause,[],[f2426]) ).
fof(f2426,plain,
( $false
| spl20_53 ),
inference(subsumption_resolution,[],[f2425,f593]) ).
fof(f2425,plain,
( ~ l1_struct_0(sK0)
| spl20_53 ),
inference(subsumption_resolution,[],[f2424,f276]) ).
fof(f2424,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_53 ),
inference(subsumption_resolution,[],[f2423,f892]) ).
fof(f2423,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_53 ),
inference(subsumption_resolution,[],[f2421,f893]) ).
fof(f2421,plain,
( ~ m1_subset_1(k3_yellow_0(sK1),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK0)
| spl20_53 ),
inference(resolution,[],[f2410,f426]) ).
fof(f2410,plain,
( ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| spl20_53 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f2420,plain,
( ~ spl20_53
| ~ spl20_54
| spl20_55
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f992,f2418,f2415,f2412,f2409]) ).
fof(f992,plain,
( ~ m1_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| r1_tarski(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),u1_struct_0(sK0))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
inference(forward_literal_rewriting,[],[f991,f431]) ).
fof(f991,plain,
( r1_tarski(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),u1_struct_0(sK0))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
inference(forward_literal_rewriting,[],[f990,f412]) ).
fof(f412,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f990,plain,
( m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))) ),
inference(subsumption_resolution,[],[f989,f274]) ).
fof(f989,plain,
( m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f988,f275]) ).
fof(f988,plain,
( m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f987,f276]) ).
fof(f987,plain,
( m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f985,f280]) ).
fof(f985,plain,
( m1_subset_1(sK5(sK0,sK1,k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f281,f369]) ).
fof(f369,plain,
! [X2,X0,X1] :
( v18_waybel_0(X2,X0,X1)
| m1_subset_1(sK5(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : LAT372+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39 % Computer : n027.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Thu Aug 24 08:05:17 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.18/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.39 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.DuggtxXnhe/Vampire---4.8_24504
% 0.18/0.40 % (24619)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (24622)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.25/0.46 % (24623)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.25/0.46 % (24625)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.25/0.46 % (24620)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.25/0.46 % (24624)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.25/0.46 % (24621)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.25/0.46 % (24626)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.25/0.47 % (24626)Refutation not found, incomplete strategy% (24626)------------------------------
% 0.25/0.47 % (24626)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.47 % (24626)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.47 % (24626)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.47
% 0.25/0.47 % (24626)Memory used [KB]: 5756
% 0.25/0.47 % (24626)Time elapsed: 0.006 s
% 0.25/0.47 % (24626)------------------------------
% 0.25/0.47 % (24626)------------------------------
% 0.25/0.53 % (24627)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 2.40/0.82 % (24624)First to succeed.
% 2.40/0.83 % (24624)Refutation found. Thanks to Tanya!
% 2.40/0.83 % SZS status Theorem for Vampire---4
% 2.40/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 2.40/0.83 % (24624)------------------------------
% 2.40/0.83 % (24624)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.40/0.83 % (24624)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.40/0.83 % (24624)Termination reason: Refutation
% 2.40/0.83
% 2.40/0.83 % (24624)Memory used [KB]: 14328
% 2.40/0.83 % (24624)Time elapsed: 0.367 s
% 2.40/0.83 % (24624)------------------------------
% 2.40/0.83 % (24624)------------------------------
% 2.40/0.83 % (24619)Success in time 0.431 s
% 2.40/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------