%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:34:29 PM UTC 2026
% Result : Theorem 0.09s 0.20s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 166 ( 42 unt; 3 def)
% Number of atoms : 704 ( 112 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 948 ( 410 ~; 419 |; 88 &)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn 120 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v1_pre_topc(X0)
=> X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f23,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f24,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ! [X1] :
( m4_yellow_6(X1,X0)
=> ! [X2] :
( ( v1_pre_topc(X2)
& l1_pre_topc(X2) )
=> ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(f28,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f34,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f44,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f61,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f68,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f70,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f93,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f131,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f130]) ).
fof(f146,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f147,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f146]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f165,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f167,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f172,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f183,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f184,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f183]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f191]) ).
fof(f218,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f219,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f220,plain,
v25_waybel_0(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f221,plain,
v24_waybel_0(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f222,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f223,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f224,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f225,plain,
g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) = g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)),
inference(cnf_transformation,[],[f127]) ).
fof(f226,plain,
k14_yellow_6(sK0,k3_waybel28(sK0)) != k14_yellow_6(sK1,k3_waybel28(sK1)),
inference(cnf_transformation,[],[f127]) ).
fof(f227,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f228,plain,
v2_lattice3(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f229,plain,
v25_waybel_0(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f230,plain,
v24_waybel_0(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f231,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f232,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f233,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f235,plain,
! [X0] :
( ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f245,plain,
! [X0] :
( ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f257,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
| k14_yellow_6(X0,X1) != X2 ),
inference(cnf_transformation,[],[f161]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| u1_struct_0(X0) = u1_struct_0(X2)
| k14_yellow_6(X0,X1) != X2 ),
inference(cnf_transformation,[],[f161]) ).
fof(f266,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| l1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f268,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m4_yellow_6(k3_waybel28(X0),X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f269,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f273,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f293,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f189]) ).
fof(f317,plain,
! [X0,X1] :
( ~ v24_waybel_0(X0)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f395,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1)) ),
inference(equality_resolution,[],[f259]) ).
fof(f396,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(equality_resolution,[],[f258]) ).
fof(f405,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f396,f266]) ).
fof(f406,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f395,f266]) ).
fof(f407,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f405,f293]) ).
fof(f408,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f406,f293]) ).
fof(f409,plain,
l1_struct_0(sK0),
inference(resolution,[],[f269,f227]) ).
fof(f410,plain,
l1_struct_0(sK1),
inference(resolution,[],[f269,f218]) ).
fof(f429,plain,
( ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(resolution,[],[f245,f219]) ).
fof(f430,plain,
( ~ l1_orders_2(sK0)
| ~ v3_struct_0(sK0) ),
inference(resolution,[],[f245,f228]) ).
fof(f431,plain,
~ v3_struct_0(sK0),
inference(forward_subsumption_resolution,[],[f430,f227]) ).
fof(f432,plain,
~ v3_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f429,f218]) ).
fof(f541,definition,
( spl36_10
<=> m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f542,plain,
( m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f543,plain,
( ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl36_10 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f549,plain,
( v3_struct_0(sK0)
| m4_yellow_6(k3_waybel28(sK0),sK0) ),
inference(resolution,[],[f268,f227]) ).
fof(f550,plain,
( v3_struct_0(sK1)
| m4_yellow_6(k3_waybel28(sK1),sK1) ),
inference(resolution,[],[f268,f218]) ).
fof(f559,plain,
m4_yellow_6(k3_waybel28(sK1),sK1),
inference(forward_subsumption_resolution,[],[f550,f432]) ).
fof(f560,plain,
m4_yellow_6(k3_waybel28(sK0),sK0),
inference(forward_subsumption_resolution,[],[f549,f431]) ).
fof(f600,plain,
! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f273,f378]) ).
fof(f684,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1))) ),
inference(resolution,[],[f293,f235]) ).
fof(f685,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f684,f266]) ).
fof(f771,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(resolution,[],[f408,f559]) ).
fof(f772,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| u1_struct_0(sK0) = u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))) ),
inference(resolution,[],[f408,f560]) ).
fof(f777,plain,
( ~ l1_struct_0(sK0)
| u1_struct_0(sK0) = u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))) ),
inference(forward_subsumption_resolution,[],[f772,f431]) ).
fof(f778,plain,
( ~ l1_struct_0(sK1)
| u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f771,f432]) ).
fof(f780,plain,
u1_struct_0(sK0) = u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))),
inference(forward_subsumption_resolution,[],[f777,f409]) ).
fof(f781,plain,
u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),
inference(forward_subsumption_resolution,[],[f778,f410]) ).
fof(f811,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)) ),
inference(resolution,[],[f407,f559]) ).
fof(f812,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
inference(resolution,[],[f407,f560]) ).
fof(f817,plain,
( ~ l1_struct_0(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
inference(forward_subsumption_resolution,[],[f812,f431]) ).
fof(f818,plain,
( ~ l1_struct_0(sK1)
| u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)) ),
inference(forward_subsumption_resolution,[],[f811,f432]) ).
fof(f820,plain,
u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)),
inference(forward_subsumption_resolution,[],[f817,f409]) ).
fof(f821,plain,
u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)),
inference(forward_subsumption_resolution,[],[f818,f410]) ).
fof(f942,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(sK0)
| ~ l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(resolution,[],[f317,f230]) ).
fof(f944,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(resolution,[],[f317,f230]) ).
fof(f945,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f944,f227]) ).
fof(f947,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f942,f229]) ).
fof(f949,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f945,f228]) ).
fof(f951,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f947,f227]) ).
fof(f953,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f949,f229]) ).
fof(f955,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f951,f231]) ).
fof(f957,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f953,f231]) ).
fof(f959,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f955,f232]) ).
fof(f961,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_orders_2(sK0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f957,f232]) ).
fof(f963,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(sK0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f959,f233]) ).
fof(f965,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f961,f233]) ).
fof(f967,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| r1_tarski(u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
inference(forward_subsumption_resolution,[],[f963,f228]) ).
fof(f969,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_lattice3(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) ),
inference(forward_demodulation,[],[f965,f820]) ).
fof(f971,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) ),
inference(forward_demodulation,[],[f967,f820]) ).
fof(f976,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v25_waybel_0(sK1)
| ~ l1_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(resolution,[],[f969,f221]) ).
fof(f980,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ l1_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f976,f220]) ).
fof(f982,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f980,f218]) ).
fof(f984,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f982,f222]) ).
fof(f986,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v2_orders_2(sK1)
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f984,f223]) ).
fof(f988,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ v2_lattice3(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f986,f224]) ).
fof(f990,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f988,f219]) ).
fof(f992,plain,
r1_tarski(u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0))),
inference(forward_subsumption_resolution,[],[f990,f225]) ).
fof(f993,plain,
r1_tarski(a_2_1_yellow_6(sK1,k3_waybel28(sK1)),a_2_1_yellow_6(sK0,k3_waybel28(sK0))),
inference(forward_demodulation,[],[f992,f821]) ).
fof(f994,plain,
( ~ r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),a_2_1_yellow_6(sK1,k3_waybel28(sK1)))
| a_2_1_yellow_6(sK1,k3_waybel28(sK1)) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
inference(resolution,[],[f993,f257]) ).
fof(f998,definition,
( spl36_23
<=> a_2_1_yellow_6(sK1,k3_waybel28(sK1)) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
introduced(definition,[new_symbols(definition,[spl36_23])],[avatar_definition]) ).
fof(f1000,plain,
( a_2_1_yellow_6(sK1,k3_waybel28(sK1)) = a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| ~ spl36_23 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1002,definition,
( spl36_24
<=> r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),a_2_1_yellow_6(sK1,k3_waybel28(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_24])],[avatar_definition]) ).
fof(f1004,plain,
( ~ r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),a_2_1_yellow_6(sK1,k3_waybel28(sK1)))
| spl36_24 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1006,plain,
( spl36_23
| ~ spl36_24 ),
inference(avatar_split_clause,[],[f994,f1002,f998]) ).
fof(f1007,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| ~ v25_waybel_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(resolution,[],[f971,f221]) ).
fof(f1011,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ v2_lattice3(sK1)
| ~ v25_waybel_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1007,f218]) ).
fof(f1013,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ v25_waybel_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1011,f219]) ).
fof(f1015,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1013,f220]) ).
fof(f1017,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1015,f222]) ).
fof(f1019,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| ~ v2_orders_2(sK1)
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1017,f223]) ).
fof(f1021,plain,
( r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))))
| g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1019,f224]) ).
fof(f1023,plain,
r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))),
inference(forward_subsumption_resolution,[],[f1021,f225]) ).
fof(f1024,plain,
r1_tarski(a_2_1_yellow_6(sK0,k3_waybel28(sK0)),a_2_1_yellow_6(sK1,k3_waybel28(sK1))),
inference(forward_demodulation,[],[f1023,f821]) ).
fof(f1025,plain,
( $false
| spl36_24 ),
inference(forward_subsumption_resolution,[],[f1024,f1004]) ).
fof(f1026,plain,
spl36_24,
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1179,plain,
( ~ l1_orders_2(sK1)
| spl36_10 ),
inference(resolution,[],[f600,f543]) ).
fof(f1185,plain,
( $false
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1179,f218]) ).
fof(f1186,plain,
spl36_10,
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1197,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| u1_struct_0(sK1) = X0 )
| ~ spl36_10 ),
inference(resolution,[],[f542,f314]) ).
fof(f1202,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| u1_struct_0(sK1) = X0 )
| ~ spl36_10 ),
inference(forward_demodulation,[],[f1197,f225]) ).
fof(f2314,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))) ),
inference(resolution,[],[f685,f559]) ).
fof(f2315,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| k14_yellow_6(sK0,k3_waybel28(sK0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(resolution,[],[f685,f560]) ).
fof(f2320,plain,
( ~ l1_struct_0(sK0)
| k14_yellow_6(sK0,k3_waybel28(sK0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))) ),
inference(forward_subsumption_resolution,[],[f2315,f431]) ).
fof(f2321,plain,
( ~ l1_struct_0(sK1)
| k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))) ),
inference(forward_subsumption_resolution,[],[f2314,f432]) ).
fof(f2323,plain,
k14_yellow_6(sK0,k3_waybel28(sK0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))),u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0)))),
inference(forward_subsumption_resolution,[],[f2320,f409]) ).
fof(f2324,plain,
k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))),
inference(forward_subsumption_resolution,[],[f2321,f410]) ).
fof(f2326,plain,
k14_yellow_6(sK0,k3_waybel28(sK0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK0,k3_waybel28(sK0))),a_2_1_yellow_6(sK0,k3_waybel28(sK0))),
inference(forward_demodulation,[],[f2323,f820]) ).
fof(f2327,plain,
k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK1,k3_waybel28(sK1))),
inference(forward_demodulation,[],[f2324,f821]) ).
fof(f2330,plain,
( k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ spl36_23 ),
inference(forward_demodulation,[],[f2327,f1000]) ).
fof(f2617,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl36_10 ),
inference(equality_resolution,[],[f1202]) ).
fof(f2683,plain,
k14_yellow_6(sK0,k3_waybel28(sK0)) = g1_pre_topc(u1_struct_0(sK0),a_2_1_yellow_6(sK0,k3_waybel28(sK0))),
inference(forward_demodulation,[],[f2326,f780]) ).
fof(f2684,plain,
( k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(sK1),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ spl36_23 ),
inference(forward_demodulation,[],[f2330,f781]) ).
fof(f2707,plain,
( k14_yellow_6(sK1,k3_waybel28(sK1)) = g1_pre_topc(u1_struct_0(sK0),a_2_1_yellow_6(sK0,k3_waybel28(sK0)))
| ~ spl36_10
| ~ spl36_23 ),
inference(forward_demodulation,[],[f2684,f2617]) ).
fof(f2714,plain,
( k14_yellow_6(sK0,k3_waybel28(sK0)) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_10
| ~ spl36_23 ),
inference(forward_demodulation,[],[f2707,f2683]) ).
fof(f2717,plain,
( $false
| ~ spl36_10
| ~ spl36_23 ),
inference(forward_subsumption_resolution,[],[f2714,f226]) ).
fof(f2718,plain,
( ~ spl36_10
| ~ spl36_23 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
cnf(s18,plain,
( spl36_23
| ~ spl36_24 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s19,plain,
spl36_24,
inference(sat_conversion,[],[f1026]) ).
cnf(s21,plain,
spl36_10,
inference(sat_conversion,[],[f1186]) ).
cnf(s64,plain,
( ~ spl36_10
| ~ spl36_23 ),
inference(sat_conversion,[],[f2718]) ).
cnf(s73,plain,
~ spl36_23,
inference(rat,[],[s64,s21]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s18,s19,s73]) ).
fof(f2721,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 19:06:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.20 % (3650169)Will run a generic schedule for satisfiability detection.
% 0.09/0.20 % (3650175)% WARNING: option uhcvi not known.
% 0.09/0.20 % (3650174)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1477398830_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.20 % (3650177)dis+10_1_sil=32000:sp=arity:random_seed=2395109748:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.20 % (3650175)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4274218510:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.20 % (3650176)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3332989145:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.20 % (3650178)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1852216848:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.20 % (3650179)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2527974142:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.20 % (3650180)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1116678614:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.20 % TRYING [1]
% 0.09/0.20 % TRYING [2]
% 0.09/0.20 % TRYING [3]
% 0.09/0.20 % TRYING [4]
% 0.09/0.20 % (3650178) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3650169-3650178"...
% 0.09/0.20 % (3650178)...printing done.
% 0.09/0.20 % (3650177)Instruction limit reached!
% 0.09/0.20 % (3650177)------------------------------
% 0.09/0.20 % (3650177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (3650177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (3650177)CaDiCaL version: 2.1.3
% 0.09/0.20 % (3650177)Termination reason: Instruction limit
% 0.09/0.20 % (3650177)Termination phase: Saturation
% 0.09/0.20 % (3650177)Time elapsed: 0.036 s
% 0.09/0.20 % (3650177)Peak memory usage: 13 MB
% 0.09/0.20 % (3650177)Instructions burned: 104 (million)
% 0.09/0.20 % (3650178)Refutation found. Thanks to Tanya!
% 0.09/0.20 % SZS status Theorem for theBenchmark
% 0.09/0.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.20 % (3650178)------------------------------
% 0.09/0.20 % (3650178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (3650178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (3650178)CaDiCaL version: 2.1.3
% 0.09/0.20 % (3650178)Termination reason: Refutation
% 0.09/0.20 % (3650178)Time elapsed: 0.035 s
% 0.09/0.20 % (3650178)Peak memory usage: 14 MB
% 0.09/0.20 % (3650178)Instructions burned: 107 (million)
% 0.09/0.20 % (3650169)Success in time 0.062 s
% 0.09/0.20 % Vampire exiting
%------------------------------------------------------------------------------