%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT366+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 1.51s 0.66s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 136 ( 26 unt; 0 def)
% Number of atoms : 1537 ( 29 equ)
% Maximal formula atoms : 168 ( 11 avg)
% Number of connectives : 2357 ( 956 ~; 986 |; 306 &)
% ( 6 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 273 ( 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(t24_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_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) )
=> ( v22_waybel_0(X3,X1,X2)
=> v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_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/sandbox2/benchmark/theBenchmark.p',t33_waybel34) ).
fof(cc3_waybel10,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] :
( m1_yellow_0(X2,X1)
=> ( v8_yellow_0(X2,X1)
=> ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel10) ).
fof(t56_waybel_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( v8_waybel_1(X2,X1)
=> v8_yellow_0(k2_yellow_2(X1,X1,X2),X1) )
& ( v7_waybel_1(X2,X1)
=> v7_yellow_0(k2_yellow_2(X1,X1,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_waybel_1) ).
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/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
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/sandbox2/benchmark/theBenchmark.p',t34_waybel34) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(t37_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) )
=> ( v22_waybel_0(X2,X1,X1)
=> ! [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) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(t36_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] :
( ( m1_yellow_0(X2,X1)
& v8_yellow_0(X2,X1)
& v4_yellow_0(X2,X1)
& ~ v3_struct_0(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(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( r1_waybel_3(X1,X3,X4)
& X6 = X4
& X5 = X3 )
=> r1_waybel_3(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_waybel34) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(c_0_20,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_21,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_22,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_23,plain,
! [X107] :
( ( ~ l1_orders_2(X107)
| v23_waybel_0(k7_grcat_1(X107),X107,X107) )
& ( ~ l1_orders_2(X107)
| v1_funct_2(k7_grcat_1(X107),u1_struct_0(X107),u1_struct_0(X107)) )
& ( ~ l1_orders_2(X107)
| v1_funct_1(k7_grcat_1(X107)) )
& ( ~ l1_orders_2(X107)
| v1_relat_1(k7_grcat_1(X107)) ) ),
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_24,plain,
! [X131,X132,X133] :
( k3_waybel_1(X131,X132,X133) = k7_grcat_1(k2_yellow_2(X131,X132,X133))
| ~ m2_relset_1(X133,u1_struct_0(X131),u1_struct_0(X132))
| ~ v1_funct_2(X133,u1_struct_0(X131),u1_struct_0(X132))
| ~ v1_funct_1(X133)
| ~ l1_orders_2(X132)
| v3_struct_0(X132)
| ~ l1_orders_2(X131)
| v3_struct_0(X131) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_25,plain,
! [X13,X14,X15,X16,X17] :
( ( ~ l1_orders_2(X13)
| ~ v2_orders_2(X13)
| v3_struct_0(X13)
| ~ l1_orders_2(X14)
| ~ v2_orders_2(X14)
| v3_struct_0(X14)
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| v1_waybel34(X15,X13,X14)
| ~ r1_waybel_3(X14,k7_yellow_2(u1_struct_0(X13),X14,X15,esk7_3(X13,X14,X15)),k7_yellow_2(u1_struct_0(X13),X14,X15,esk8_3(X13,X14,X15))) )
& ( ~ l1_orders_2(X13)
| ~ v2_orders_2(X13)
| v3_struct_0(X13)
| ~ l1_orders_2(X14)
| ~ v2_orders_2(X14)
| v3_struct_0(X14)
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| v1_waybel34(X15,X13,X14)
| r1_waybel_3(X13,esk7_3(X13,X14,X15),esk8_3(X13,X14,X15)) )
& ( ~ l1_orders_2(X13)
| ~ v2_orders_2(X13)
| v3_struct_0(X13)
| ~ l1_orders_2(X14)
| ~ v2_orders_2(X14)
| v3_struct_0(X14)
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| v1_waybel34(X15,X13,X14)
| m1_subset_1(esk8_3(X13,X14,X15),u1_struct_0(X13)) )
& ( ~ l1_orders_2(X13)
| ~ v2_orders_2(X13)
| v3_struct_0(X13)
| ~ l1_orders_2(X14)
| ~ v2_orders_2(X14)
| v3_struct_0(X14)
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| v1_waybel34(X15,X13,X14)
| m1_subset_1(esk7_3(X13,X14,X15),u1_struct_0(X13)) )
& ( ~ l1_orders_2(X13)
| ~ v2_orders_2(X13)
| v3_struct_0(X13)
| ~ l1_orders_2(X14)
| ~ v2_orders_2(X14)
| v3_struct_0(X14)
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| r1_waybel_3(X14,k7_yellow_2(u1_struct_0(X13),X14,X15,X16),k7_yellow_2(u1_struct_0(X13),X14,X15,X17))
| ~ r1_waybel_3(X13,X16,X17)
| ~ m1_subset_1(X17,u1_struct_0(X13))
| ~ m1_subset_1(X16,u1_struct_0(X13))
| ~ v1_waybel34(X15,X13,X14) ) ),
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_21])])])])])]) ).
fof(c_0_26,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_22])])])]) ).
cnf(c_0_27,plain,
( ~ l1_orders_2(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,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_24]) ).
fof(c_0_29,plain,
! [X67,X68,X69] :
( v1_waybel34(k1_waybel34(X67,X68,X69),X68,X67)
| ~ v22_waybel_0(X69,X67,X68)
| ~ 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_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)],[t24_waybel34])])])]) ).
fof(c_0_30,plain,
! [X143,X144] :
( ( ~ l1_orders_2(X143)
| ~ v3_lattice3(X143)
| ~ v2_lattice3(X143)
| ~ v1_lattice3(X143)
| ~ v4_orders_2(X143)
| ~ v3_orders_2(X143)
| ~ v2_orders_2(X143)
| ~ m2_relset_1(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v8_waybel_1(X144,X143)
| ~ v1_funct_2(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v1_funct_1(X144)
| k2_waybel34(X143,k2_yellow_2(X143,X143,X144),k3_waybel_1(X143,X143,X144)) = k2_waybel_1(X143,X143,X144) )
& ( ~ l1_orders_2(X143)
| ~ v3_lattice3(X143)
| ~ v2_lattice3(X143)
| ~ v1_lattice3(X143)
| ~ v4_orders_2(X143)
| ~ v3_orders_2(X143)
| ~ v2_orders_2(X143)
| ~ m2_relset_1(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v8_waybel_1(X144,X143)
| ~ v1_funct_2(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v1_funct_1(X144)
| k1_waybel34(X143,k2_yellow_2(X143,X143,X144),k2_waybel_1(X143,X143,X144)) = k3_waybel_1(X143,X143,X144) )
& ( ~ l1_orders_2(X143)
| ~ v3_lattice3(X143)
| ~ v2_lattice3(X143)
| ~ v1_lattice3(X143)
| ~ v4_orders_2(X143)
| ~ v3_orders_2(X143)
| ~ v2_orders_2(X143)
| ~ m2_relset_1(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v8_waybel_1(X144,X143)
| ~ v1_funct_2(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v1_funct_1(X144)
| v18_waybel_0(k3_waybel_1(X143,X143,X144),k2_yellow_2(X143,X143,X144),X143) )
& ( ~ l1_orders_2(X143)
| ~ v3_lattice3(X143)
| ~ v2_lattice3(X143)
| ~ v1_lattice3(X143)
| ~ v4_orders_2(X143)
| ~ v3_orders_2(X143)
| ~ v2_orders_2(X143)
| ~ m2_relset_1(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v8_waybel_1(X144,X143)
| ~ v1_funct_2(X144,u1_struct_0(X143),u1_struct_0(X143))
| ~ v1_funct_1(X144)
| v17_waybel_0(k2_waybel_1(X143,X143,X144),X143,k2_yellow_2(X143,X143,X144)) ) ),
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])])])])]) ).
fof(c_0_31,plain,
! [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] :
( m1_yellow_0(X2,X1)
=> ( v8_yellow_0(X2,X1)
=> ~ v3_struct_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_waybel10]) ).
fof(c_0_32,plain,
! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( v8_waybel_1(X2,X1)
=> v8_yellow_0(k2_yellow_2(X1,X1,X2),X1) )
& ( v7_waybel_1(X2,X1)
=> v7_yellow_0(k2_yellow_2(X1,X1,X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t56_waybel_1]) ).
fof(c_0_33,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_34,plain,
( ~ l1_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ r1_waybel_3(X2,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_waybel34(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| r1_waybel_3(X3,k7_yellow_2(u1_struct_0(X2),X3,X1,X4),k7_yellow_2(u1_struct_0(X2),X3,X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,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_26]) ).
cnf(c_0_36,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_27,c_0_28]) ).
cnf(c_0_37,plain,
( ~ v22_waybel_0(X3,X1,X2)
| ~ 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_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)
| v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,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_30]) ).
cnf(c_0_39,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_30]) ).
fof(c_0_40,plain,
! [X48,X49] :
( ( ~ l1_orders_2(X48)
| ~ v3_lattice3(X48)
| ~ v2_lattice3(X48)
| ~ v1_lattice3(X48)
| ~ v4_orders_2(X48)
| ~ v3_orders_2(X48)
| ~ v2_orders_2(X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v8_waybel_1(X49,X48)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v22_waybel_0(X49,X48,X48)
| ~ v22_waybel_0(k2_waybel_1(X48,X48,X49),X48,k2_yellow_2(X48,X48,X49)) )
& ( ~ l1_orders_2(X48)
| ~ v3_lattice3(X48)
| ~ v2_lattice3(X48)
| ~ v1_lattice3(X48)
| ~ v4_orders_2(X48)
| ~ v3_orders_2(X48)
| ~ v2_orders_2(X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v8_waybel_1(X49,X48)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v22_waybel_0(k2_waybel_1(X48,X48,X49),X48,k2_yellow_2(X48,X48,X49))
| ~ v22_waybel_0(X49,X48,X48) ) ),
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])])])])]) ).
fof(c_0_41,plain,
! [X86,X87] :
( ~ v3_struct_0(X87)
| ~ v8_yellow_0(X87,X86)
| ~ m1_yellow_0(X87,X86)
| ~ l1_orders_2(X86)
| ~ v3_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ v1_lattice3(X86)
| ~ v4_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v2_orders_2(X86) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
fof(c_0_42,plain,
! [X50,X51] :
( ( ~ l1_orders_2(X50)
| ~ v4_orders_2(X50)
| ~ v3_orders_2(X50)
| ~ v2_orders_2(X50)
| v3_struct_0(X50)
| ~ m2_relset_1(X51,u1_struct_0(X50),u1_struct_0(X50))
| ~ v1_funct_2(X51,u1_struct_0(X50),u1_struct_0(X50))
| ~ v1_funct_1(X51)
| v8_yellow_0(k2_yellow_2(X50,X50,X51),X50)
| ~ v8_waybel_1(X51,X50) )
& ( ~ l1_orders_2(X50)
| ~ v4_orders_2(X50)
| ~ v3_orders_2(X50)
| ~ v2_orders_2(X50)
| v3_struct_0(X50)
| ~ m2_relset_1(X51,u1_struct_0(X50),u1_struct_0(X50))
| ~ v1_funct_2(X51,u1_struct_0(X50),u1_struct_0(X50))
| ~ v1_funct_1(X51)
| v7_yellow_0(k2_yellow_2(X50,X50,X51),X50)
| ~ v7_waybel_1(X51,X50) ) ),
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_32])])])])]) ).
fof(c_0_43,plain,
! [X54] :
( ( ~ l1_orders_2(X54)
| ~ v3_lattice3(X54)
| v3_struct_0(X54)
| v2_lattice3(X54) )
& ( ~ l1_orders_2(X54)
| ~ v3_lattice3(X54)
| v3_struct_0(X54)
| v1_lattice3(X54) )
& ( ~ l1_orders_2(X54)
| ~ v3_lattice3(X54)
| v3_struct_0(X54)
| ~ v3_struct_0(X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_44,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_45,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(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ r1_waybel_3(k2_yellow_2(X1,X2,X3),X4,X5)
| ~ v1_waybel34(k3_waybel_1(X1,X2,X3),k2_yellow_2(X1,X2,X3),X2)
| r1_waybel_3(X2,k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4),X5)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(k2_yellow_2(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_46,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)))
| ~ v22_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| v1_waybel34(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_47,plain,
( ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_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)
| ~ v22_waybel_0(X1,X2,X2)
| v22_waybel_0(k2_waybel_1(X2,X2,X1),X2,k2_yellow_2(X2,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_48,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_49,plain,
( ~ v3_struct_0(X2)
| ~ v8_yellow_0(X2,X1)
| ~ m1_yellow_0(X2,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) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ v8_waybel_1(X1,X2)
| v3_struct_0(X2)
| v8_yellow_0(k2_yellow_2(X2,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v1_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_53,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)
| m1_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)
| 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)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_54,plain,
! [X40,X41,X42] :
( ( m2_relset_1(X42,X40,X41)
| ~ m1_relset_1(X42,X40,X41) )
& ( m1_relset_1(X42,X40,X41)
| ~ m2_relset_1(X42,X40,X41) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_55,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(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X2,X3)))
| ~ r1_waybel_3(k2_yellow_2(X1,X2,X3),X4,X5)
| ~ v1_waybel34(k3_waybel_1(X1,X2,X3),k2_yellow_2(X1,X2,X3),X2)
| r1_waybel_3(X2,X4,X5)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(k2_yellow_2(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_56,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)))
| ~ v22_waybel_0(X2,X1,X1)
| v1_waybel34(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_57,plain,
! [X118,X119,X120] :
( ( ~ m1_relset_1(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_2(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_1(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| m2_relset_1(k2_waybel_1(X118,X119,X120),u1_struct_0(X118),u1_struct_0(k2_yellow_2(X118,X119,X120))) )
& ( ~ m1_relset_1(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_2(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_1(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| v1_funct_2(k2_waybel_1(X118,X119,X120),u1_struct_0(X118),u1_struct_0(k2_yellow_2(X118,X119,X120))) )
& ( ~ m1_relset_1(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_2(X120,u1_struct_0(X118),u1_struct_0(X119))
| ~ v1_funct_1(X120)
| ~ l1_orders_2(X119)
| v3_struct_0(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| v1_funct_1(k2_waybel_1(X118,X119,X120)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
cnf(c_0_58,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
| ~ m1_yellow_0(k2_yellow_2(X1,X1,X2),X1)
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_59,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_53]) ).
cnf(c_0_60,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_61,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]) ).
fof(c_0_62,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) )
=> ( v22_waybel_0(X2,X1,X1)
=> ! [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) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t37_waybel34]) ).
fof(c_0_63,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
cnf(c_0_64,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))
| ~ 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)))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ 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)))
| ~ m2_relset_1(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ v22_waybel_0(X2,X1,X1)
| ~ m1_subset_1(X3,u1_struct_0(k2_yellow_2(X1,X1,X2)))
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X1,X2)))
| ~ r1_waybel_3(k2_yellow_2(X1,X1,X2),X3,X4)
| r1_waybel_3(X1,X3,X4)
| v3_struct_0(X1)
| v3_struct_0(k2_yellow_2(X1,X1,X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_51]),c_0_51]),c_0_52]),c_0_52]) ).
cnf(c_0_65,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_57]) ).
cnf(c_0_66,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
fof(c_0_67,plain,
! [X134,X135,X136] :
( ( ~ m1_relset_1(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_2(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_1(X136)
| ~ l1_orders_2(X135)
| v3_struct_0(X135)
| ~ l1_orders_2(X134)
| v3_struct_0(X134)
| m2_relset_1(k3_waybel_1(X134,X135,X136),u1_struct_0(k2_yellow_2(X134,X135,X136)),u1_struct_0(X135)) )
& ( ~ m1_relset_1(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_2(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_1(X136)
| ~ l1_orders_2(X135)
| v3_struct_0(X135)
| ~ l1_orders_2(X134)
| v3_struct_0(X134)
| v1_funct_2(k3_waybel_1(X134,X135,X136),u1_struct_0(k2_yellow_2(X134,X135,X136)),u1_struct_0(X135)) )
& ( ~ m1_relset_1(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_2(X136,u1_struct_0(X134),u1_struct_0(X135))
| ~ v1_funct_1(X136)
| ~ l1_orders_2(X135)
| v3_struct_0(X135)
| ~ l1_orders_2(X134)
| v3_struct_0(X134)
| v1_funct_1(k3_waybel_1(X134,X135,X136)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_68,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]) ).
fof(c_0_69,negated_conjecture,
( ( r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0)
| r1_waybel_3(esk1_0,esk3_0,esk4_0) )
& ( ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0)
| ~ r1_waybel_3(esk1_0,esk3_0,esk4_0) )
& esk6_0 = esk4_0
& esk5_0 = esk3_0
& m1_subset_1(esk6_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
& m1_subset_1(esk5_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& v22_waybel_0(esk2_0,esk1_0,esk1_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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
fof(c_0_70,plain,
! [X58] :
( ~ v3_struct_0(X58)
| ~ v1_lattice3(X58)
| ~ l1_orders_2(X58) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
cnf(c_0_71,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X4))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(k2_waybel_1(X1,X1,X4))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel_1(X1,X1,X4),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X4),u1_struct_0(k2_yellow_2(X1,X1,X4)),u1_struct_0(X1))
| ~ v8_waybel_1(X4,X1)
| ~ m2_relset_1(k3_waybel_1(X1,X1,X4),u1_struct_0(k2_yellow_2(X1,X1,X4)),u1_struct_0(X1))
| ~ v22_waybel_0(X4,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ m1_subset_1(X3,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ r1_waybel_3(k2_yellow_2(X1,X1,X4),X2,X3)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X1))
| r1_waybel_3(X1,X2,X3)
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]),c_0_66]) ).
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)
| 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_67]) ).
fof(c_0_73,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_74,plain,
! [X43,X44] :
( ( ~ l1_orders_2(X43)
| v3_struct_0(X43)
| ~ m1_relset_1(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v8_waybel_1(X44,X43)
| ~ v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v1_funct_1(X44)
| v6_waybel_1(X44,X43) )
& ( ~ l1_orders_2(X43)
| v3_struct_0(X43)
| ~ m1_relset_1(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v8_waybel_1(X44,X43)
| ~ v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v1_funct_1(X44)
| v1_partfun1(X44,u1_struct_0(X43),u1_struct_0(X43)) )
& ( ~ l1_orders_2(X43)
| v3_struct_0(X43)
| ~ m1_relset_1(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v8_waybel_1(X44,X43)
| ~ v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v1_funct_1(X44)
| v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43)) )
& ( ~ l1_orders_2(X43)
| v3_struct_0(X43)
| ~ m1_relset_1(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v8_waybel_1(X44,X43)
| ~ v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v1_funct_1(X44)
| ~ v1_xboole_0(X44) )
& ( ~ l1_orders_2(X43)
| v3_struct_0(X43)
| ~ m1_relset_1(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v8_waybel_1(X44,X43)
| ~ v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))
| ~ v1_funct_1(X44)
| v1_funct_1(X44) ) ),
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_68])])])])]) ).
cnf(c_0_75,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_76,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X4))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(k2_waybel_1(X1,X1,X4))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel_1(X1,X1,X4),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X4),u1_struct_0(k2_yellow_2(X1,X1,X4)),u1_struct_0(X1))
| ~ v8_waybel_1(X4,X1)
| ~ v22_waybel_0(X4,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ m1_subset_1(X3,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ r1_waybel_3(k2_yellow_2(X1,X1,X4),X2,X3)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X1))
| r1_waybel_3(X1,X2,X3)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,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_57]) ).
fof(c_0_82,plain,
! [X100,X101] :
( ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v3_lattice3(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v2_lattice3(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v1_lattice3(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v25_waybel_0(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v24_waybel_0(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v4_yellow_0(k2_yellow_2(X100,X100,X101),X100) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v3_yellow_0(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v2_yellow_0(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v1_yellow_0(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v4_orders_2(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v3_orders_2(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v2_orders_2(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| v1_orders_2(k2_yellow_2(X100,X100,X101)) )
& ( ~ m1_relset_1(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v6_waybel_1(X101,X100)
| ~ v1_funct_2(X101,u1_struct_0(X100),u1_struct_0(X100))
| ~ v1_funct_1(X101)
| ~ l1_orders_2(X100)
| ~ v3_lattice3(X100)
| ~ v2_lattice3(X100)
| ~ v1_lattice3(X100)
| ~ v4_orders_2(X100)
| ~ v3_orders_2(X100)
| ~ v2_orders_2(X100)
| ~ v3_struct_0(k2_yellow_2(X100,X100,X101)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
cnf(c_0_83,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_74]) ).
cnf(c_0_84,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
v8_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_86,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_87,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_88,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
fof(c_0_89,plain,
! [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] :
( ( m1_yellow_0(X2,X1)
& v8_yellow_0(X2,X1)
& v4_yellow_0(X2,X1)
& ~ v3_struct_0(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(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( r1_waybel_3(X1,X3,X4)
& X6 = X4
& X5 = X3 )
=> r1_waybel_3(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_waybel34]) ).
cnf(c_0_90,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X4))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(k2_waybel_1(X1,X1,X4))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X4),u1_struct_0(k2_yellow_2(X1,X1,X4)),u1_struct_0(X1))
| ~ v8_waybel_1(X4,X1)
| ~ v22_waybel_0(X4,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ m1_subset_1(X3,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ r1_waybel_3(k2_yellow_2(X1,X1,X4),X2,X3)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X1))
| r1_waybel_3(X1,X2,X3)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_91,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_67]) ).
cnf(c_0_92,negated_conjecture,
( r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0)
| r1_waybel_3(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_93,negated_conjecture,
esk6_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_94,negated_conjecture,
esk5_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_95,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_96,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_82]) ).
cnf(c_0_97,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_83,c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_79])]),c_0_88]) ).
cnf(c_0_98,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_99,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_100,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_101,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_102,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_103,plain,
! [X20,X21,X22,X23,X24,X25] :
( r1_waybel_3(X21,X24,X25)
| ~ r1_waybel_3(X20,X22,X23)
| X25 != X23
| X24 != X22
| ~ m1_subset_1(X25,u1_struct_0(X21))
| ~ m1_subset_1(X24,u1_struct_0(X21))
| ~ m1_subset_1(X23,u1_struct_0(X20))
| ~ m1_subset_1(X22,u1_struct_0(X20))
| ~ m1_yellow_0(X21,X20)
| ~ v8_yellow_0(X21,X20)
| ~ v4_yellow_0(X21,X20)
| v3_struct_0(X21)
| ~ l1_orders_2(X20)
| ~ v3_lattice3(X20)
| ~ v2_lattice3(X20)
| ~ v1_lattice3(X20)
| ~ v4_orders_2(X20)
| ~ v3_orders_2(X20)
| ~ v2_orders_2(X20) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
cnf(c_0_104,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X4))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(k2_waybel_1(X1,X1,X4))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X4,X1)
| ~ v22_waybel_0(X4,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ m1_subset_1(X3,u1_struct_0(k2_yellow_2(X1,X1,X4)))
| ~ r1_waybel_3(k2_yellow_2(X1,X1,X4),X2,X3)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X1))
| r1_waybel_3(X1,X2,X3)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_105,negated_conjecture,
( r1_waybel_3(esk1_0,esk3_0,esk6_0)
| r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_106,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_107,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_108,negated_conjecture,
v22_waybel_0(esk2_0,esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_109,negated_conjecture,
v2_orders_2(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(spm,[status(thm)],[c_0_96,c_0_97]),c_0_84]),c_0_86]),c_0_87]),c_0_79]),c_0_98]),c_0_99]),c_0_78]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_110,plain,
( ~ r1_waybel_3(X1,X3,X4)
| X6 != X4
| X5 != X3
| ~ m1_subset_1(X6,u1_struct_0(X2))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_yellow_0(X2,X1)
| ~ v8_yellow_0(X2,X1)
| ~ v4_yellow_0(X2,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)
| r1_waybel_3(X2,X5,X6)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( ~ 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(k2_waybel_1(esk1_0,esk1_0,esk2_0))
| r1_waybel_3(esk1_0,esk3_0,esk6_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(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_104,c_0_105]),c_0_84]),c_0_106]),c_0_107]),c_0_108]),c_0_85]),c_0_86]),c_0_87]),c_0_79]),c_0_98]),c_0_100]),c_0_101]),c_0_109]),c_0_102])]),c_0_88]) ).
cnf(c_0_112,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_57]) ).
cnf(c_0_113,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_114,plain,
( ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_waybel_3(X4,X2,X3)
| ~ m1_yellow_0(X1,X4)
| ~ v8_yellow_0(X1,X4)
| ~ v4_yellow_0(X1,X4)
| r1_waybel_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_110,c_0_49])])]) ).
cnf(c_0_115,negated_conjecture,
( ~ 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))
| r1_waybel_3(esk1_0,esk3_0,esk6_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_111,c_0_112]),c_0_84]),c_0_86]),c_0_87]),c_0_79])]),c_0_88]) ).
cnf(c_0_116,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_113,c_0_93]) ).
cnf(c_0_117,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_118,negated_conjecture,
( ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0)
| ~ r1_waybel_3(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_119,negated_conjecture,
( ~ 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))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1))
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_yellow_0(X1,esk1_0)
| ~ v8_yellow_0(X1,esk1_0)
| ~ v4_yellow_0(X1,esk1_0)
| r1_waybel_3(X1,esk3_0,esk6_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(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_117]),c_0_79]),c_0_98]),c_0_99]),c_0_78]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_120,negated_conjecture,
( ~ r1_waybel_3(esk1_0,esk3_0,esk6_0)
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_93]),c_0_94]) ).
cnf(c_0_121,negated_conjecture,
( ~ 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(X1)
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v8_waybel_1(X1,esk1_0)
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,X1)))
| ~ m1_subset_1(esk6_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,X1)))
| ~ m1_yellow_0(k2_yellow_2(esk1_0,esk1_0,X1),esk1_0)
| ~ v4_yellow_0(k2_yellow_2(esk1_0,esk1_0,X1),esk1_0)
| r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,X1),esk3_0,esk6_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_50]),c_0_79]),c_0_100]),c_0_101]),c_0_102])]),c_0_88]) ).
cnf(c_0_122,negated_conjecture,
( ~ 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))
| ~ m1_yellow_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0)
| ~ v4_yellow_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(csr,[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(spm,[status(thm)],[c_0_120,c_0_121]),c_0_106]),c_0_107]),c_0_76]),c_0_85]),c_0_86]),c_0_87])]),c_0_115]) ).
cnf(c_0_123,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)
| v4_yellow_0(k2_yellow_2(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_124,negated_conjecture,
( ~ 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))
| ~ m1_yellow_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(spm,[status(thm)],[c_0_122,c_0_123]),c_0_84]),c_0_86]),c_0_87]),c_0_79])]),c_0_88]) ).
cnf(c_0_125,negated_conjecture,
( ~ 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)) ),
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_124,c_0_59]),c_0_84]),c_0_86]),c_0_87]),c_0_79])]),c_0_88]) ).
cnf(c_0_126,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_82]) ).
cnf(c_0_127,negated_conjecture,
( ~ 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)) ),
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_125,c_0_126]),c_0_97]),c_0_84]),c_0_86]),c_0_87]),c_0_79]),c_0_98]),c_0_99]),c_0_78]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_128,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_82]) ).
fof(c_0_129,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])])])]) ).
cnf(c_0_130,negated_conjecture,
( ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(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_127,c_0_128]),c_0_97]),c_0_84]),c_0_86]),c_0_87]),c_0_79]),c_0_98]),c_0_99]),c_0_78]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_131,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_82]) ).
cnf(c_0_132,plain,
( ~ m1_yellow_0(X2,X1)
| ~ l1_orders_2(X1)
| l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_133,negated_conjecture,
~ l1_orders_2(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_130,c_0_131]),c_0_97]),c_0_84]),c_0_86]),c_0_87]),c_0_79]),c_0_98]),c_0_99]),c_0_78]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_134,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_132,c_0_59]) ).
cnf(c_0_135,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_133,c_0_134]),c_0_84]),c_0_86]),c_0_87]),c_0_79])]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT366+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 23:57:00 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.51/0.66 % Version: 3.5.1
% 1.51/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.66 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.66 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.66 % Starting sh5l with 300s (1) cores
% 1.51/0.66 % new_bool_1 with pid 1732581 completed with status 0
% 1.51/0.66 % Result found by new_bool_1
% 1.51/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.66 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.66 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.51/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.51/0.66 % Search class: FGHSS-FSLM31-MFFFFFNN
% 1.51/0.66 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 1.51/0.66 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 1.51/0.66 % Starting SubtermCWHack with 28s (1) cores
% 1.51/0.66 % SubtermCWHack with pid 1732583 completed with status 0
% 1.51/0.66 % Result found by SubtermCWHack
% 1.51/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.66 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.66 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.51/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.51/0.66 % Search class: FGHSS-FSLM31-MFFFFFNN
% 1.51/0.66 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 1.51/0.66 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 1.51/0.66 % Starting SubtermCWHack with 28s (1) cores
% 1.51/0.66 % Preprocessing time : 0.005 s
% 1.51/0.66
% 1.51/0.66 % Proof found!
% 1.51/0.66 % SZS status Theorem
% 1.51/0.66 % SZS output start CNFRefutation
% See solution above
% 1.51/0.66 % Parsed axioms : 159
% 1.51/0.66 % Removed by relevancy pruning/SinE : 75
% 1.51/0.66 % Initial clauses : 366
% 1.51/0.66 % Removed in clause preprocessing : 49
% 1.51/0.66 % Initial clauses in saturation : 317
% 1.51/0.66 % Processed clauses : 644
% 1.51/0.66 % ...of these trivial : 4
% 1.51/0.66 % ...subsumed : 144
% 1.51/0.66 % ...remaining for further processing : 496
% 1.51/0.66 % Other redundant clauses eliminated : 2
% 1.51/0.66 % Clauses deleted for lack of memory : 0
% 1.51/0.66 % Backward-subsumed : 54
% 1.51/0.66 % Backward-rewritten : 0
% 1.51/0.66 % Generated clauses : 461
% 1.51/0.66 % ...of the previous two non-redundant : 412
% 1.51/0.66 % ...aggressively subsumed : 0
% 1.51/0.66 % Contextual simplify-reflections : 217
% 1.51/0.66 % Paramodulations : 460
% 1.51/0.66 % Factorizations : 0
% 1.51/0.66 % NegExts : 0
% 1.51/0.66 % Equation resolutions : 2
% 1.51/0.66 % Disequality decompositions : 0
% 1.51/0.66 % Total rewrite steps : 306
% 1.51/0.66 % ...of those cached : 261
% 1.51/0.66 % Propositional unsat checks : 0
% 1.51/0.66 % Propositional check models : 0
% 1.51/0.66 % Propositional check unsatisfiable : 0
% 1.51/0.66 % Propositional clauses : 0
% 1.51/0.66 % Propositional clauses after purity: 0
% 1.51/0.66 % Propositional unsat core size : 0
% 1.51/0.66 % Propositional preprocessing time : 0.000
% 1.51/0.66 % Propositional encoding time : 0.000
% 1.51/0.66 % Propositional solver time : 0.000
% 1.51/0.66 % Success case prop preproc time : 0.000
% 1.51/0.66 % Success case prop encoding time : 0.000
% 1.51/0.66 % Success case prop solver time : 0.000
% 1.51/0.66 % Current number of processed clauses : 441
% 1.51/0.66 % Positive orientable unit clauses : 78
% 1.51/0.66 % Positive unorientable unit clauses: 0
% 1.51/0.66 % Negative unit clauses : 9
% 1.51/0.66 % Non-unit-clauses : 354
% 1.51/0.66 % Current number of unprocessed clauses: 85
% 1.51/0.66 % ...number of literals in the above : 2678
% 1.51/0.66 % Current number of archived formulas : 0
% 1.51/0.66 % Current number of archived clauses : 54
% 1.51/0.66 % Clause-clause subsumption calls (NU) : 299489
% 1.51/0.66 % Rec. Clause-clause subsumption calls : 3830
% 1.51/0.66 % Non-unit clause-clause subsumptions : 403
% 1.51/0.66 % Unit Clause-clause subsumption calls : 207
% 1.51/0.66 % Rewrite failures with RHS unbound : 0
% 1.51/0.66 % BW rewrite match attempts : 0
% 1.51/0.66 % BW rewrite match successes : 0
% 1.51/0.66 % Condensation attempts : 0
% 1.51/0.66 % Condensation successes : 0
% 1.51/0.66 % Termbank termtop insertions : 71864
% 1.51/0.66 % Search garbage collected termcells : 5159
% 1.51/0.66
% 1.51/0.66 % -------------------------------------------------
% 1.51/0.66 % User time : 0.225 s
% 1.51/0.66 % System time : 0.011 s
% 1.51/0.66 % Total time : 0.236 s
% 1.51/0.66 % Maximum resident set size: 4848 pages
% 1.51/0.66
% 1.51/0.66 % -------------------------------------------------
% 1.51/0.66 % User time : 0.232 s
% 1.51/0.66 % System time : 0.017 s
% 1.51/0.66 % Total time : 0.249 s
% 1.51/0.66 % Maximum resident set size: 4864 pages
% 1.51/0.66 % E exiting
%------------------------------------------------------------------------------