%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT367+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Thu Sep 24 01:05:08 PM UTC 2026
% Result : Theorem 0.38s 0.84s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 138 ( 18 unt; 0 def)
% Number of atoms : 1502 ( 23 equ)
% Maximal formula atoms : 168 ( 10 avg)
% Number of connectives : 2292 ( 928 ~; 989 |; 287 &)
% ( 6 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 275 ( 0 sgn 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d17_waybel_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_waybel_1) ).
fof(d8_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v1_waybel34(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( r1_waybel_3(X1,X4,X5)
=> r1_waybel_3(X2,k7_yellow_2(u1_struct_0(X1),X2,X3,X4),k7_yellow_2(u1_struct_0(X1),X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_waybel34) ).
fof(t34_waybel_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
=> k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_waybel_1) ).
fof(fc2_waybel_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_relat_1(k7_grcat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(t38_waybel34,conjecture,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ( ( X6 = X4
& X5 = X3 )
=> ( r1_waybel_3(X1,X3,X4)
<=> r1_waybel_3(k2_yellow_2(X1,X1,X2),X5,X6) ) ) ) ) ) )
& v3_waybel_3(k2_yellow_2(X1,X1,X2)) )
=> v22_waybel_0(X2,X1,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_k7_yellow_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,u1_struct_0(X2))
& v1_funct_2(X3,X1,u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& ~ v3_struct_0(X2)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_yellow_2) ).
fof(dt_k3_waybel_1,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_1(k3_waybel_1(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k2_yellow_2,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(fc2_yellow_2,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3))
& ~ v3_struct_0(k2_yellow_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(t25_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
=> v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_waybel34) ).
fof(t33_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( k2_waybel34(X1,k2_yellow_2(X1,X1,X2),k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
& k1_waybel34(X1,k2_yellow_2(X1,X1,X2),k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& v18_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& v17_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_waybel34) ).
fof(t34_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X1,X1)
<=> v22_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_waybel34) ).
fof(cc1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( v3_lattice3(X1)
& ~ v3_struct_0(X1) )
=> ( v2_lattice3(X1)
& v1_lattice3(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(dt_k2_waybel_1,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& v1_funct_1(k2_waybel_1(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel_1) ).
fof(cc4_waybel_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v6_waybel_1(X2,X1)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_waybel_1) ).
fof(fc10_waybel34,axiom,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v3_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(c_0_21,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[d17_waybel_1]) ).
fof(c_0_22,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v1_waybel34(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( r1_waybel_3(X1,X4,X5)
=> r1_waybel_3(X2,k7_yellow_2(u1_struct_0(X1),X2,X3,X4),k7_yellow_2(u1_struct_0(X1),X2,X3,X5)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_waybel34]) ).
fof(c_0_23,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
=> k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[t34_waybel_1]) ).
fof(c_0_24,plain,
! [X96] :
( ( ~ l1_orders_2(X96)
| v23_waybel_0(k7_grcat_1(X96),X96,X96) )
& ( ~ l1_orders_2(X96)
| v1_funct_2(k7_grcat_1(X96),u1_struct_0(X96),u1_struct_0(X96)) )
& ( ~ l1_orders_2(X96)
| v1_funct_1(k7_grcat_1(X96)) )
& ( ~ l1_orders_2(X96)
| v1_relat_1(k7_grcat_1(X96)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])])]) ).
fof(c_0_25,plain,
! [X116,X117,X118] :
( k3_waybel_1(X116,X117,X118) = k7_grcat_1(k2_yellow_2(X116,X117,X118))
| ~ m2_relset_1(X118,u1_struct_0(X116),u1_struct_0(X117))
| ~ v1_funct_2(X118,u1_struct_0(X116),u1_struct_0(X117))
| ~ v1_funct_1(X118)
| ~ l1_orders_2(X117)
| v3_struct_0(X117)
| ~ l1_orders_2(X116)
| v3_struct_0(X116) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_26,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ( ( X6 = X4
& X5 = X3 )
=> ( r1_waybel_3(X1,X3,X4)
<=> r1_waybel_3(k2_yellow_2(X1,X1,X2),X5,X6) ) ) ) ) ) )
& v3_waybel_3(k2_yellow_2(X1,X1,X2)) )
=> v22_waybel_0(X2,X1,X1) ) ) ),
inference(assume_negation,[status(cth)],[t38_waybel34]) ).
fof(c_0_27,plain,
! [X16,X17,X18,X19,X20] :
( ( ~ l1_orders_2(X16)
| ~ v2_orders_2(X16)
| v3_struct_0(X16)
| ~ l1_orders_2(X17)
| ~ v2_orders_2(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| v1_waybel34(X18,X16,X17)
| ~ r1_waybel_3(X17,k7_yellow_2(u1_struct_0(X16),X17,X18,esk3_3(X16,X17,X18)),k7_yellow_2(u1_struct_0(X16),X17,X18,esk4_3(X16,X17,X18))) )
& ( ~ l1_orders_2(X16)
| ~ v2_orders_2(X16)
| v3_struct_0(X16)
| ~ l1_orders_2(X17)
| ~ v2_orders_2(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| v1_waybel34(X18,X16,X17)
| r1_waybel_3(X16,esk3_3(X16,X17,X18),esk4_3(X16,X17,X18)) )
& ( ~ l1_orders_2(X16)
| ~ v2_orders_2(X16)
| v3_struct_0(X16)
| ~ l1_orders_2(X17)
| ~ v2_orders_2(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| v1_waybel34(X18,X16,X17)
| m1_subset_1(esk4_3(X16,X17,X18),u1_struct_0(X16)) )
& ( ~ l1_orders_2(X16)
| ~ v2_orders_2(X16)
| v3_struct_0(X16)
| ~ l1_orders_2(X17)
| ~ v2_orders_2(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| v1_waybel34(X18,X16,X17)
| m1_subset_1(esk3_3(X16,X17,X18),u1_struct_0(X16)) )
& ( ~ l1_orders_2(X16)
| ~ v2_orders_2(X16)
| v3_struct_0(X16)
| ~ l1_orders_2(X17)
| ~ v2_orders_2(X17)
| v3_struct_0(X17)
| ~ m2_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| r1_waybel_3(X17,k7_yellow_2(u1_struct_0(X16),X17,X18,X19),k7_yellow_2(u1_struct_0(X16),X17,X18,X20))
| ~ r1_waybel_3(X16,X19,X20)
| ~ m1_subset_1(X20,u1_struct_0(X16))
| ~ m1_subset_1(X19,u1_struct_0(X16))
| ~ v1_waybel34(X18,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])]) ).
fof(c_0_28,plain,
! [X63,X64,X65,X66] :
( k7_yellow_2(u1_struct_0(k2_yellow_2(X63,X64,X65)),X64,k3_waybel_1(X63,X64,X65),X66) = X66
| ~ m1_subset_1(X66,u1_struct_0(k2_yellow_2(X63,X64,X65)))
| ~ m2_relset_1(X65,u1_struct_0(X63),u1_struct_0(X64))
| ~ v1_funct_2(X65,u1_struct_0(X63),u1_struct_0(X64))
| ~ v1_funct_1(X65)
| ~ l1_orders_2(X64)
| v3_struct_0(X64)
| ~ l1_orders_2(X63)
| v3_struct_0(X63) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_29,plain,
( ~ l1_orders_2(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,negated_conjecture,
! [X9,X10,X11,X12] :
( ~ v22_waybel_0(esk2_0,esk1_0,esk1_0)
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk1_0))
| ~ m1_subset_1(X11,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X12,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| X12 != X10
| X11 != X9
| r1_waybel_3(esk1_0,X9,X10)
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X11,X12) )
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk1_0))
| ~ m1_subset_1(X11,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X12,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| X12 != X10
| X11 != X9
| r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X11,X12)
| ~ r1_waybel_3(esk1_0,X9,X10) )
& v3_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v8_waybel_1(esk2_0,esk1_0)
& v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v1_funct_1(esk2_0)
& l1_orders_2(esk1_0)
& v3_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v1_lattice3(esk1_0)
& v4_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v2_orders_2(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])]) ).
fof(c_0_32,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
cnf(c_0_33,plain,
( ~ l1_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ r1_waybel_3(X1,k7_yellow_2(u1_struct_0(X2),X1,X3,esk3_3(X2,X1,X3)),k7_yellow_2(u1_struct_0(X2),X1,X3,esk4_3(X2,X1,X3)))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_waybel34(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( ~ m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X2,X1,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v1_funct_1(k3_waybel_1(X2,X1,X3))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( ~ m1_subset_1(X3,u1_struct_0(esk1_0))
| ~ m1_subset_1(X4,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| X2 != X4
| X1 != X3
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X1,X2)
| r1_waybel_3(esk1_0,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X50] :
( ~ v3_struct_0(X50)
| ~ v1_lattice3(X50)
| ~ l1_orders_2(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_38,plain,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,u1_struct_0(X2))
& v1_funct_2(X3,X1,u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& ~ v3_struct_0(X2)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
inference(fof_simplification,[status(thm)],[dt_k7_yellow_2]) ).
fof(c_0_39,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_1(k3_waybel_1(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel_1]) ).
cnf(c_0_40,plain,
( ~ v2_orders_2(X2)
| ~ v2_orders_2(k2_yellow_2(X1,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(esk4_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)),u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ r1_waybel_3(X2,k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),esk3_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3))),esk4_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(k2_yellow_2(X1,X2,X3))
| v1_waybel34(k3_waybel_1(X1,X2,X3),k2_yellow_2(X1,X2,X3),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X1,X2)
| r1_waybel_3(esk1_0,X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).
cnf(c_0_42,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_waybel34(X3,X1,X2)
| r1_waybel_3(X1,esk3_3(X1,X2,X3),esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_waybel34(X3,X1,X2)
| m1_subset_1(esk3_3(X1,X2,X3),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_waybel34(X3,X1,X2)
| m1_subset_1(esk4_3(X1,X2,X3),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_48,plain,
! [X59,X60,X61,X62] :
( m1_subset_1(k7_yellow_2(X59,X60,X61,X62),u1_struct_0(X60))
| ~ m1_subset_1(X62,X59)
| ~ m1_relset_1(X61,X59,u1_struct_0(X60))
| ~ v1_funct_2(X61,X59,u1_struct_0(X60))
| ~ v1_funct_1(X61)
| ~ l1_struct_0(X60)
| v3_struct_0(X60)
| v1_xboole_0(X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_49,plain,
! [X110] :
( l1_struct_0(X110)
| ~ l1_orders_2(X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
fof(c_0_50,plain,
! [X34,X35,X36] :
( ( m2_relset_1(X36,X34,X35)
| ~ m1_relset_1(X36,X34,X35) )
& ( m1_relset_1(X36,X34,X35)
| ~ m2_relset_1(X36,X34,X35) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_51,plain,
! [X119,X120,X121] :
( ( ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_1(X121)
| ~ l1_orders_2(X120)
| v3_struct_0(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| m2_relset_1(k3_waybel_1(X119,X120,X121),u1_struct_0(k2_yellow_2(X119,X120,X121)),u1_struct_0(X120)) )
& ( ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_1(X121)
| ~ l1_orders_2(X120)
| v3_struct_0(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| v1_funct_2(k3_waybel_1(X119,X120,X121),u1_struct_0(k2_yellow_2(X119,X120,X121)),u1_struct_0(X120)) )
& ( ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ v1_funct_1(X121)
| ~ l1_orders_2(X120)
| v3_struct_0(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| v1_funct_1(k3_waybel_1(X119,X120,X121)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_52,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_yellow_2]) ).
cnf(c_0_53,plain,
( ~ v2_orders_2(X2)
| ~ v2_orders_2(k2_yellow_2(X1,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(esk3_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)),u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m1_subset_1(esk4_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)),u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ r1_waybel_3(X2,esk3_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)),esk4_3(k2_yellow_2(X1,X2,X3),X2,k3_waybel_1(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(k2_yellow_2(X1,X2,X3))
| v1_waybel34(k3_waybel_1(X1,X2,X3),k2_yellow_2(X1,X2,X3),X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_54,negated_conjecture,
( ~ v2_orders_2(X2)
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(X2))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X2,X1),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X2,X1),u1_struct_0(esk1_0))
| r1_waybel_3(esk1_0,esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X2,X1),esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X2,X1))
| v3_struct_0(X2)
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(X1,k2_yellow_2(esk1_0,esk1_0,esk2_0),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_55,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_57,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_60,plain,
( ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_64,plain,
! [X76,X77] :
( l1_orders_2(X77)
| ~ m1_yellow_0(X77,X76)
| ~ l1_orders_2(X76) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])]) ).
fof(c_0_65,plain,
! [X23,X24,X25] :
( ( ~ m1_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_1(X25)
| ~ l1_orders_2(X24)
| v3_struct_0(X24)
| ~ l1_orders_2(X23)
| v3_struct_0(X23)
| m1_yellow_0(k2_yellow_2(X23,X24,X25),X24) )
& ( ~ m1_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_1(X25)
| ~ l1_orders_2(X24)
| v3_struct_0(X24)
| ~ l1_orders_2(X23)
| v3_struct_0(X23)
| v4_yellow_0(k2_yellow_2(X23,X24,X25),X24) )
& ( ~ m1_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ v1_funct_1(X25)
| ~ l1_orders_2(X24)
| v3_struct_0(X24)
| ~ l1_orders_2(X23)
| v3_struct_0(X23)
| v1_orders_2(k2_yellow_2(X23,X24,X25)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_66,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3))
& ~ v3_struct_0(k2_yellow_2(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[fc2_yellow_2]) ).
fof(c_0_67,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_68,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_47]),c_0_58])]),c_0_59]) ).
cnf(c_0_69,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k3_waybel_1(X1,X2,X3))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m1_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| m1_subset_1(X4,u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(k2_yellow_2(X1,X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_34]),c_0_61]) ).
cnf(c_0_70,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k3_waybel_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_72,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_74,plain,
( ~ m1_yellow_0(X2,X1)
| ~ l1_orders_2(X1)
| l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_75,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_76,plain,
! [X26,X27,X28] :
( ( ~ m1_relset_1(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_2(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_1(X28)
| ~ l1_orders_2(X27)
| v3_struct_0(X27)
| ~ l1_orders_2(X26)
| v3_struct_0(X26)
| v4_yellow_0(k2_yellow_2(X26,X27,X28),X27) )
& ( ~ m1_relset_1(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_2(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_1(X28)
| ~ l1_orders_2(X27)
| v3_struct_0(X27)
| ~ l1_orders_2(X26)
| v3_struct_0(X26)
| v1_orders_2(k2_yellow_2(X26,X27,X28)) )
& ( ~ m1_relset_1(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_2(X28,u1_struct_0(X26),u1_struct_0(X27))
| ~ v1_funct_1(X28)
| ~ l1_orders_2(X27)
| v3_struct_0(X27)
| ~ l1_orders_2(X26)
| v3_struct_0(X26)
| ~ v3_struct_0(k2_yellow_2(X26,X27,X28)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_77,plain,
! [X112] :
( ~ v1_xboole_0(u1_struct_0(X112))
| ~ l1_struct_0(X112)
| v3_struct_0(X112) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_78,plain,
! [X67,X68,X69] :
( v22_waybel_0(X69,X67,X68)
| ~ v1_waybel34(k1_waybel34(X67,X68,X69),X68,X67)
| ~ m2_relset_1(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v17_waybel_0(X69,X67,X68)
| ~ v1_funct_2(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v1_funct_1(X69)
| ~ l1_orders_2(X68)
| ~ v3_waybel_3(X68)
| ~ v3_lattice3(X68)
| ~ v2_lattice3(X68)
| ~ v1_lattice3(X68)
| ~ v4_orders_2(X68)
| ~ v3_orders_2(X68)
| ~ v2_orders_2(X68)
| ~ l1_orders_2(X67)
| ~ v3_lattice3(X67)
| ~ v2_lattice3(X67)
| ~ v1_lattice3(X67)
| ~ v4_orders_2(X67)
| ~ v3_orders_2(X67)
| ~ v2_orders_2(X67) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_waybel34])])])]) ).
fof(c_0_79,plain,
! [X128,X129] :
( ( ~ l1_orders_2(X128)
| ~ v3_lattice3(X128)
| ~ v2_lattice3(X128)
| ~ v1_lattice3(X128)
| ~ v4_orders_2(X128)
| ~ v3_orders_2(X128)
| ~ v2_orders_2(X128)
| ~ m2_relset_1(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v8_waybel_1(X129,X128)
| ~ v1_funct_2(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v1_funct_1(X129)
| k2_waybel34(X128,k2_yellow_2(X128,X128,X129),k3_waybel_1(X128,X128,X129)) = k2_waybel_1(X128,X128,X129) )
& ( ~ l1_orders_2(X128)
| ~ v3_lattice3(X128)
| ~ v2_lattice3(X128)
| ~ v1_lattice3(X128)
| ~ v4_orders_2(X128)
| ~ v3_orders_2(X128)
| ~ v2_orders_2(X128)
| ~ m2_relset_1(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v8_waybel_1(X129,X128)
| ~ v1_funct_2(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v1_funct_1(X129)
| k1_waybel34(X128,k2_yellow_2(X128,X128,X129),k2_waybel_1(X128,X128,X129)) = k3_waybel_1(X128,X128,X129) )
& ( ~ l1_orders_2(X128)
| ~ v3_lattice3(X128)
| ~ v2_lattice3(X128)
| ~ v1_lattice3(X128)
| ~ v4_orders_2(X128)
| ~ v3_orders_2(X128)
| ~ v2_orders_2(X128)
| ~ m2_relset_1(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v8_waybel_1(X129,X128)
| ~ v1_funct_2(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v1_funct_1(X129)
| v18_waybel_0(k3_waybel_1(X128,X128,X129),k2_yellow_2(X128,X128,X129),X128) )
& ( ~ l1_orders_2(X128)
| ~ v3_lattice3(X128)
| ~ v2_lattice3(X128)
| ~ v1_lattice3(X128)
| ~ v4_orders_2(X128)
| ~ v3_orders_2(X128)
| ~ v2_orders_2(X128)
| ~ m2_relset_1(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v8_waybel_1(X129,X128)
| ~ v1_funct_2(X129,u1_struct_0(X128),u1_struct_0(X128))
| ~ v1_funct_1(X129)
| v17_waybel_0(k2_waybel_1(X128,X128,X129),X128,k2_yellow_2(X128,X128,X129)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_waybel34])])])])]) ).
cnf(c_0_80,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_47]),c_0_58])]),c_0_59]) ).
cnf(c_0_81,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| m1_subset_1(X4,u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_xboole_0(u1_struct_0(k2_yellow_2(X1,X2,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_82,plain,
( ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| l1_orders_2(k2_yellow_2(X2,X1,X3))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(k2_yellow_2(X1,X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_85,plain,
! [X42,X43] :
( ( ~ l1_orders_2(X42)
| ~ v3_lattice3(X42)
| ~ v2_lattice3(X42)
| ~ v1_lattice3(X42)
| ~ v4_orders_2(X42)
| ~ v3_orders_2(X42)
| ~ v2_orders_2(X42)
| ~ m2_relset_1(X43,u1_struct_0(X42),u1_struct_0(X42))
| ~ v8_waybel_1(X43,X42)
| ~ v1_funct_2(X43,u1_struct_0(X42),u1_struct_0(X42))
| ~ v1_funct_1(X43)
| v22_waybel_0(X43,X42,X42)
| ~ v22_waybel_0(k2_waybel_1(X42,X42,X43),X42,k2_yellow_2(X42,X42,X43)) )
& ( ~ l1_orders_2(X42)
| ~ v3_lattice3(X42)
| ~ v2_lattice3(X42)
| ~ v1_lattice3(X42)
| ~ v4_orders_2(X42)
| ~ v3_orders_2(X42)
| ~ v2_orders_2(X42)
| ~ m2_relset_1(X43,u1_struct_0(X42),u1_struct_0(X42))
| ~ v8_waybel_1(X43,X42)
| ~ v1_funct_2(X43,u1_struct_0(X42),u1_struct_0(X42))
| ~ v1_funct_1(X43)
| v22_waybel_0(k2_waybel_1(X42,X42,X43),X42,k2_yellow_2(X42,X42,X43))
| ~ v22_waybel_0(X43,X42,X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_waybel34])])])])]) ).
cnf(c_0_86,plain,
( ~ v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v22_waybel_0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k1_waybel34(X1,k2_yellow_2(X1,X1,X2),k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_88,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v17_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_43]),c_0_47]),c_0_58])]),c_0_59]) ).
cnf(c_0_90,plain,
( ~ v2_orders_2(X5)
| ~ v2_orders_2(k2_yellow_2(X2,X3,X4))
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(k2_yellow_2(X2,X3,X4)),u1_struct_0(X5))
| ~ m2_relset_1(X1,u1_struct_0(k2_yellow_2(X2,X3,X4)),u1_struct_0(X5))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| m1_subset_1(esk4_3(k2_yellow_2(X2,X3,X4),X5,X1),u1_struct_0(X3))
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X5)
| v1_xboole_0(u1_struct_0(k2_yellow_2(X2,X3,X4)))
| v1_waybel34(X1,k2_yellow_2(X2,X3,X4),X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_44]),c_0_82]),c_0_83]) ).
cnf(c_0_91,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_55]) ).
cnf(c_0_92,plain,
( ~ l1_orders_2(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_61]) ).
fof(c_0_93,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( v3_lattice3(X1)
& ~ v3_struct_0(X1) )
=> ( v2_lattice3(X1)
& v1_lattice3(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
cnf(c_0_94,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v22_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| v22_waybel_0(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_95,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v1_lattice3(X1)
| ~ v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_lattice3(X1)
| ~ v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(k2_waybel_1(X1,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel_1(X1,X1,X2),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X1,X2)))
| ~ v8_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel_1(X1,X1,X2),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X1,X2)))
| ~ v3_waybel_3(k2_yellow_2(X1,X1,X2))
| ~ v1_waybel34(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| v22_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_58])]),c_0_59]),c_0_92]) ).
cnf(c_0_97,plain,
( ~ v2_orders_2(X5)
| ~ v2_orders_2(k2_yellow_2(X2,X3,X4))
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(k2_yellow_2(X2,X3,X4)),u1_struct_0(X5))
| ~ m2_relset_1(X1,u1_struct_0(k2_yellow_2(X2,X3,X4)),u1_struct_0(X5))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| m1_subset_1(esk3_3(k2_yellow_2(X2,X3,X4),X5,X1),u1_struct_0(X3))
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X5)
| v1_xboole_0(u1_struct_0(k2_yellow_2(X2,X3,X4)))
| v1_waybel34(X1,k2_yellow_2(X2,X3,X4),X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_43]),c_0_82]),c_0_83]) ).
fof(c_0_98,plain,
! [X46] :
( ( ~ l1_orders_2(X46)
| ~ v3_lattice3(X46)
| v3_struct_0(X46)
| v2_lattice3(X46) )
& ( ~ l1_orders_2(X46)
| ~ v3_lattice3(X46)
| v3_struct_0(X46)
| v1_lattice3(X46) )
& ( ~ l1_orders_2(X46)
| ~ v3_lattice3(X46)
| v3_struct_0(X46)
| ~ v3_struct_0(X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
fof(c_0_99,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& v1_funct_1(k2_waybel_1(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_waybel_1]) ).
cnf(c_0_100,plain,
( ~ v2_orders_2(X2)
| ~ v2_orders_2(k2_yellow_2(X2,X2,X1))
| ~ v3_orders_2(X2)
| ~ v3_orders_2(k2_yellow_2(X2,X2,X1))
| ~ v4_orders_2(X2)
| ~ v4_orders_2(k2_yellow_2(X2,X2,X1))
| ~ v1_lattice3(X2)
| ~ v1_lattice3(k2_yellow_2(X2,X2,X1))
| ~ v2_lattice3(X2)
| ~ v2_lattice3(k2_yellow_2(X2,X2,X1))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(k2_yellow_2(X2,X2,X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(k2_yellow_2(X2,X2,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k2_waybel_1(X2,X2,X1))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(k2_waybel_1(X2,X2,X1),u1_struct_0(X2),u1_struct_0(k2_yellow_2(X2,X2,X1)))
| ~ v8_waybel_1(X1,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ m2_relset_1(k2_waybel_1(X2,X2,X1),u1_struct_0(X2),u1_struct_0(k2_yellow_2(X2,X2,X1)))
| ~ v3_waybel_3(k2_yellow_2(X2,X2,X1))
| ~ v1_waybel34(k3_waybel_1(X2,X2,X1),k2_yellow_2(X2,X2,X1),X2)
| v22_waybel_0(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v1_waybel34(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_58])]),c_0_59]),c_0_92]) ).
cnf(c_0_102,negated_conjecture,
v3_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_103,negated_conjecture,
v8_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_104,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_105,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_106,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_107,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_108,negated_conjecture,
~ v22_waybel_0(esk2_0,esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_109,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v1_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_110,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_111,plain,
! [X107,X108,X109] :
( ( ~ m1_relset_1(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_2(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_1(X109)
| ~ l1_orders_2(X108)
| v3_struct_0(X108)
| ~ l1_orders_2(X107)
| v3_struct_0(X107)
| m2_relset_1(k2_waybel_1(X107,X108,X109),u1_struct_0(X107),u1_struct_0(k2_yellow_2(X107,X108,X109))) )
& ( ~ m1_relset_1(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_2(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_1(X109)
| ~ l1_orders_2(X108)
| v3_struct_0(X108)
| ~ l1_orders_2(X107)
| v3_struct_0(X107)
| v1_funct_2(k2_waybel_1(X107,X108,X109),u1_struct_0(X107),u1_struct_0(k2_yellow_2(X107,X108,X109))) )
& ( ~ m1_relset_1(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_2(X109,u1_struct_0(X107),u1_struct_0(X108))
| ~ v1_funct_1(X109)
| ~ l1_orders_2(X108)
| v3_struct_0(X108)
| ~ l1_orders_2(X107)
| v3_struct_0(X107)
| v1_funct_1(k2_waybel_1(X107,X108,X109)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])]) ).
cnf(c_0_112,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_55]),c_0_103]),c_0_56]),c_0_57]),c_0_47]),c_0_104]),c_0_105]),c_0_46]),c_0_106]),c_0_107]),c_0_58])]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_113,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_114,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_115,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_63]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_116,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
fof(c_0_118,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v8_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v6_waybel_1(X2,X1)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc4_waybel_1]) ).
cnf(c_0_119,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_72]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_120,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k2_waybel_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_121,plain,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v3_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel34]) ).
fof(c_0_122,plain,
! [X37,X38] :
( ( ~ l1_orders_2(X37)
| v3_struct_0(X37)
| ~ m1_relset_1(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v8_waybel_1(X38,X37)
| ~ v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v1_funct_1(X38)
| v6_waybel_1(X38,X37) )
& ( ~ l1_orders_2(X37)
| v3_struct_0(X37)
| ~ m1_relset_1(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v8_waybel_1(X38,X37)
| ~ v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v1_funct_1(X38)
| v1_partfun1(X38,u1_struct_0(X37),u1_struct_0(X37)) )
& ( ~ l1_orders_2(X37)
| v3_struct_0(X37)
| ~ m1_relset_1(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v8_waybel_1(X38,X37)
| ~ v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v1_funct_1(X38)
| v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37)) )
& ( ~ l1_orders_2(X37)
| v3_struct_0(X37)
| ~ m1_relset_1(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v8_waybel_1(X38,X37)
| ~ v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v1_funct_1(X38)
| ~ v1_xboole_0(X38) )
& ( ~ l1_orders_2(X37)
| v3_struct_0(X37)
| ~ m1_relset_1(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v8_waybel_1(X38,X37)
| ~ v1_funct_2(X38,u1_struct_0(X37),u1_struct_0(X37))
| ~ v1_funct_1(X38)
| v1_funct_1(X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])])]) ).
cnf(c_0_123,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
fof(c_0_124,plain,
! [X84,X85] :
( ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v3_lattice3(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v2_lattice3(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v1_lattice3(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v25_waybel_0(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v24_waybel_0(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v4_yellow_0(k2_yellow_2(X84,X84,X85),X84) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v3_yellow_0(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v2_yellow_0(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v1_yellow_0(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v4_orders_2(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v3_orders_2(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v2_orders_2(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| v1_orders_2(k2_yellow_2(X84,X84,X85)) )
& ( ~ m1_relset_1(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v6_waybel_1(X85,X84)
| ~ v1_funct_2(X85,u1_struct_0(X84),u1_struct_0(X84))
| ~ v1_funct_1(X85)
| ~ l1_orders_2(X84)
| ~ v3_lattice3(X84)
| ~ v2_lattice3(X84)
| ~ v1_lattice3(X84)
| ~ v4_orders_2(X84)
| ~ v3_orders_2(X84)
| ~ v2_orders_2(X84)
| ~ v3_struct_0(k2_yellow_2(X84,X84,X85)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])])]) ).
cnf(c_0_125,plain,
( ~ l1_orders_2(X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v8_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| v3_struct_0(X2)
| v6_waybel_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_71]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_127,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_lattice3(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_128,negated_conjecture,
v6_waybel_1(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_91]),c_0_103]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_129,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_104]),c_0_105]),c_0_46]),c_0_106]),c_0_107]),c_0_58])]) ).
cnf(c_0_130,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_128]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_104]),c_0_105]),c_0_46]),c_0_106]),c_0_107]),c_0_58])]) ).
cnf(c_0_132,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_133,negated_conjecture,
( ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_128]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_104]),c_0_105]),c_0_46]),c_0_106]),c_0_107]),c_0_58])]) ).
cnf(c_0_134,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_135,negated_conjecture,
( ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| v3_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_128]),c_0_91]),c_0_56]),c_0_57]),c_0_47]),c_0_104]),c_0_105]),c_0_46]),c_0_106]),c_0_107]),c_0_58])]) ).
cnf(c_0_136,negated_conjecture,
~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_135]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_82]),c_0_91]),c_0_56]),c_0_57]),c_0_47])]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT367+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 23:53:16 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.84 % Version: 3.5.1
% 0.38/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.84 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.84 % Starting sh5l with 300s (1) cores
% 0.38/0.84 % new_bool_3 with pid 2936601 completed with status 0
% 0.38/0.84 % Result found by new_bool_3
% 0.38/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.38/0.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.84 % Search class: FGHSS-FSLM31-MFFFFFNN
% 0.38/0.84 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.38/0.84 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.84 % Starting SubtermCWHack with 28s (1) cores
% 0.38/0.84 % SubtermCWHack with pid 2936609 completed with status 0
% 0.38/0.84 % Result found by SubtermCWHack
% 0.38/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.84 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.38/0.84 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.84 % Search class: FGHSS-FSLM31-MFFFFFNN
% 0.38/0.84 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.38/0.84 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.84 % Starting SubtermCWHack with 28s (1) cores
% 0.38/0.84 % Preprocessing time : 0.008 s
% 0.38/0.84
% 0.38/0.84 % Proof found!
% 0.38/0.84 % SZS status Theorem
% 0.38/0.84 % SZS output start CNFRefutation
% See solution above
% 0.38/0.84 % Parsed axioms : 153
% 0.38/0.84 % Removed by relevancy pruning/SinE : 78
% 0.38/0.84 % Initial clauses : 333
% 0.38/0.84 % Removed in clause preprocessing : 45
% 0.38/0.84 % Initial clauses in saturation : 288
% 0.38/0.84 % Processed clauses : 542
% 0.38/0.84 % ...of these trivial : 0
% 0.38/0.84 % ...subsumed : 118
% 0.38/0.84 % ...remaining for further processing : 424
% 0.38/0.84 % Other redundant clauses eliminated : 4
% 0.38/0.84 % Clauses deleted for lack of memory : 0
% 0.38/0.84 % Backward-subsumed : 46
% 0.38/0.84 % Backward-rewritten : 0
% 0.38/0.84 % Generated clauses : 350
% 0.38/0.84 % ...of the previous two non-redundant : 316
% 0.38/0.84 % ...aggressively subsumed : 0
% 0.38/0.84 % Contextual simplify-reflections : 81
% 0.38/0.84 % Paramodulations : 348
% 0.38/0.84 % Factorizations : 0
% 0.38/0.84 % NegExts : 0
% 0.38/0.84 % Equation resolutions : 4
% 0.38/0.84 % Disequality decompositions : 0
% 0.38/0.84 % Total rewrite steps : 333
% 0.38/0.84 % ...of those cached : 299
% 0.38/0.84 % Propositional unsat checks : 0
% 0.38/0.84 % Propositional check models : 0
% 0.38/0.84 % Propositional check unsatisfiable : 0
% 0.38/0.84 % Propositional clauses : 0
% 0.38/0.84 % Propositional clauses after purity: 0
% 0.38/0.84 % Propositional unsat core size : 0
% 0.38/0.84 % Propositional preprocessing time : 0.000
% 0.38/0.84 % Propositional encoding time : 0.000
% 0.38/0.84 % Propositional solver time : 0.000
% 0.38/0.84 % Success case prop preproc time : 0.000
% 0.38/0.84 % Success case prop encoding time : 0.000
% 0.38/0.84 % Success case prop solver time : 0.000
% 0.38/0.84 % Current number of processed clauses : 376
% 0.38/0.84 % Positive orientable unit clauses : 70
% 0.38/0.84 % Positive unorientable unit clauses: 0
% 0.38/0.84 % Negative unit clauses : 11
% 0.38/0.84 % Non-unit-clauses : 295
% 0.38/0.84 % Current number of unprocessed clauses: 57
% 0.38/0.84 % ...number of literals in the above : 1303
% 0.38/0.84 % Current number of archived formulas : 0
% 0.38/0.84 % Current number of archived clauses : 46
% 0.38/0.84 % Clause-clause subsumption calls (NU) : 206265
% 0.38/0.84 % Rec. Clause-clause subsumption calls : 3118
% 0.38/0.84 % Non-unit clause-clause subsumptions : 234
% 0.38/0.84 % Unit Clause-clause subsumption calls : 161
% 0.38/0.84 % Rewrite failures with RHS unbound : 0
% 0.38/0.84 % BW rewrite match attempts : 0
% 0.38/0.84 % BW rewrite match successes : 0
% 0.38/0.84 % Condensation attempts : 0
% 0.38/0.84 % Condensation successes : 0
% 0.38/0.84 % Termbank termtop insertions : 58295
% 0.38/0.84 % Search garbage collected termcells : 4729
% 0.38/0.84
% 0.38/0.84 % -------------------------------------------------
% 0.38/0.84 % User time : 0.260 s
% 0.38/0.84 % System time : 0.011 s
% 0.38/0.84 % Total time : 0.271 s
% 0.38/0.84 % Maximum resident set size: 5148 pages
% 0.38/0.84
% 0.38/0.84 % -------------------------------------------------
% 0.38/0.84 % User time : 0.273 s
% 0.38/0.84 % System time : 0.018 s
% 0.38/0.84 % Total time : 0.291 s
% 0.38/0.84 % Maximum resident set size: 5120 pages
% 0.38/0.84 % E exiting
%------------------------------------------------------------------------------