TSTP Solution File: LAT358+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT358+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:15:21 EDT 2024
% Result : Theorem 32.92s 4.58s
% Output : CNFRefutation 32.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 52 unt; 0 def)
% Number of atoms : 789 ( 13 equ)
% Maximal formula atoms : 48 ( 6 avg)
% Number of connectives : 1067 ( 395 ~; 394 |; 213 &)
% ( 3 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-5 aty)
% Number of variables : 172 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t9_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v18_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k2_waybel34(X3,X1,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k2_waybel34(X3,X2,X5),k2_waybel34(X2,X1,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',t9_waybel34) ).
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/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',redefinition_m2_relset_1) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [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)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',d2_waybel34) ).
fof(dt_k2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2)
& 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)) )
=> ( v1_funct_1(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',dt_k2_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',cc1_lattice3) ).
fof(t28_waybel20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v18_waybel_0(X4,X1,X2)
& v18_waybel_0(X5,X2,X3) )
=> v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',t28_waybel20) ).
fof(t7_waybel15,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',t7_waybel15) ).
fof(dt_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',dt_k7_funct_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',fc1_struct_0) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',t6_boole) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',fc6_membered) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p',dt_l1_orders_2) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v18_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k2_waybel34(X3,X1,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k2_waybel34(X3,X2,X5),k2_waybel34(X2,X1,X4)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t9_waybel34]) ).
fof(c_0_13,plain,
! [X184,X185,X186] :
( ( ~ m2_relset_1(X186,X184,X185)
| m1_relset_1(X186,X184,X185) )
& ( ~ m1_relset_1(X186,X184,X185)
| m2_relset_1(X186,X184,X185) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_14,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v3_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& v2_orders_2(esk3_0)
& v3_orders_2(esk3_0)
& v4_orders_2(esk3_0)
& v1_lattice3(esk3_0)
& v2_lattice3(esk3_0)
& v3_lattice3(esk3_0)
& l1_orders_2(esk3_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v18_waybel_0(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v18_waybel_0(esk5_0,esk2_0,esk3_0)
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& k2_waybel34(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
! [X80,X81,X82,X83] :
( ( X83 != k2_waybel34(X80,X81,X82)
| v3_waybel_1(k1_waybel_1(X80,X81,X83,X82),X80,X81)
| ~ v1_funct_1(X83)
| ~ v1_funct_2(X83,u1_struct_0(X80),u1_struct_0(X81))
| ~ m2_relset_1(X83,u1_struct_0(X80),u1_struct_0(X81))
| ~ v3_lattice3(X80)
| ~ v3_lattice3(X81)
| ~ v18_waybel_0(X82,X81,X80)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X81),u1_struct_0(X80))
| ~ m2_relset_1(X82,u1_struct_0(X81),u1_struct_0(X80))
| ~ v2_orders_2(X81)
| ~ v3_orders_2(X81)
| ~ v4_orders_2(X81)
| ~ v1_lattice3(X81)
| ~ v2_lattice3(X81)
| ~ l1_orders_2(X81)
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80) )
& ( ~ v3_waybel_1(k1_waybel_1(X80,X81,X83,X82),X80,X81)
| X83 = k2_waybel34(X80,X81,X82)
| ~ v1_funct_1(X83)
| ~ v1_funct_2(X83,u1_struct_0(X80),u1_struct_0(X81))
| ~ m2_relset_1(X83,u1_struct_0(X80),u1_struct_0(X81))
| ~ v3_lattice3(X80)
| ~ v3_lattice3(X81)
| ~ v18_waybel_0(X82,X81,X80)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X81),u1_struct_0(X80))
| ~ m2_relset_1(X82,u1_struct_0(X81),u1_struct_0(X80))
| ~ v2_orders_2(X81)
| ~ v3_orders_2(X81)
| ~ v4_orders_2(X81)
| ~ v1_lattice3(X81)
| ~ v2_lattice3(X81)
| ~ l1_orders_2(X81)
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])])]) ).
fof(c_0_17,plain,
! [X90,X91,X92] :
( ( v1_funct_1(k2_waybel34(X90,X91,X92))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X91),u1_struct_0(X90))
| ~ m1_relset_1(X92,u1_struct_0(X91),u1_struct_0(X90)) )
& ( v1_funct_2(k2_waybel34(X90,X91,X92),u1_struct_0(X90),u1_struct_0(X91))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X91),u1_struct_0(X90))
| ~ m1_relset_1(X92,u1_struct_0(X91),u1_struct_0(X90)) )
& ( m2_relset_1(k2_waybel34(X90,X91,X92),u1_struct_0(X90),u1_struct_0(X91))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X91),u1_struct_0(X90))
| ~ m1_relset_1(X92,u1_struct_0(X91),u1_struct_0(X90)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_waybel34])])])]) ).
cnf(c_0_18,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_21,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| X1 != k2_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_41,plain,
! [X41] :
( ~ l1_orders_2(X41)
| ~ v1_lattice3(X41)
| ~ v3_struct_0(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_42,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_43,plain,
! [X211,X212,X213,X214,X215,X216,X217] :
( ~ epred1_1(X211)
| v3_struct_0(X212)
| ~ v2_orders_2(X212)
| ~ v3_orders_2(X212)
| ~ v4_orders_2(X212)
| ~ l1_orders_2(X212)
| v3_struct_0(X213)
| ~ v2_orders_2(X213)
| ~ v3_orders_2(X213)
| ~ v4_orders_2(X213)
| ~ l1_orders_2(X213)
| ~ v1_funct_1(X214)
| ~ v1_funct_2(X214,u1_struct_0(X211),u1_struct_0(X212))
| ~ m2_relset_1(X214,u1_struct_0(X211),u1_struct_0(X212))
| ~ v1_funct_1(X215)
| ~ v1_funct_2(X215,u1_struct_0(X212),u1_struct_0(X213))
| ~ m2_relset_1(X215,u1_struct_0(X212),u1_struct_0(X213))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X212),u1_struct_0(X211))
| ~ m2_relset_1(X216,u1_struct_0(X212),u1_struct_0(X211))
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X213),u1_struct_0(X212))
| ~ m2_relset_1(X217,u1_struct_0(X213),u1_struct_0(X212))
| ~ v3_waybel_1(k1_waybel_1(X211,X212,X214,X216),X211,X212)
| ~ v3_waybel_1(k1_waybel_1(X212,X213,X215,X217),X212,X213)
| v3_waybel_1(k1_waybel_1(X211,X213,k7_funct_2(u1_struct_0(X211),u1_struct_0(X212),u1_struct_0(X213),X214,X215),k7_funct_2(u1_struct_0(X213),u1_struct_0(X212),u1_struct_0(X211),X217,X216)),X211,X213) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_44,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k2_waybel34(X1,X2,X3),X3),X1,X2)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_45,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_46,negated_conjecture,
v18_waybel_0(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_48,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk4_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_49,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_51,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_18,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_54,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_55,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_56,negated_conjecture,
v2_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_57,negated_conjecture,
v1_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_58,negated_conjecture,
v4_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_59,negated_conjecture,
v3_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_60,negated_conjecture,
v2_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v18_waybel_0(X4,X1,X2)
& v18_waybel_0(X5,X2,X3) )
=> v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t28_waybel20]) ).
cnf(c_0_62,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3)
| ~ epred1_1(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk4_0),esk4_0),esk2_0,esk1_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(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_44,c_0_19]),c_0_45]),c_0_46]),c_0_47]),c_0_25]),c_0_48]),c_0_26]),c_0_27]),c_0_28]),c_0_49]),c_0_50]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_64,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_27])]) ).
cnf(c_0_65,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_28])]) ).
cnf(c_0_66,negated_conjecture,
m2_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_52]),c_0_53]),c_0_54]),c_0_28]),c_0_55]),c_0_30]),c_0_56]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]) ).
cnf(c_0_67,negated_conjecture,
v18_waybel_0(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_68,negated_conjecture,
v1_funct_2(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_53]),c_0_54]),c_0_28]),c_0_55]),c_0_30]),c_0_56]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]) ).
cnf(c_0_69,negated_conjecture,
v1_funct_1(k2_waybel34(esk3_0,esk2_0,esk5_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_53]),c_0_54]),c_0_28]),c_0_55]),c_0_30]),c_0_56]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]) ).
cnf(c_0_70,negated_conjecture,
v3_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_71,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_waybel15]),c_0_15]) ).
fof(c_0_72,plain,
! [X190,X191,X192,X193,X194] :
( v3_struct_0(X190)
| ~ l1_orders_2(X190)
| v3_struct_0(X191)
| ~ l1_orders_2(X191)
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X190),u1_struct_0(X191))
| ~ m2_relset_1(X193,u1_struct_0(X190),u1_struct_0(X191))
| ~ v1_funct_1(X194)
| ~ v1_funct_2(X194,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X194,u1_struct_0(X191),u1_struct_0(X192))
| ~ v18_waybel_0(X193,X190,X191)
| ~ v18_waybel_0(X194,X191,X192)
| v18_waybel_0(k7_funct_2(u1_struct_0(X190),u1_struct_0(X191),u1_struct_0(X192),X193,X194),X190,X192) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_73,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
cnf(c_0_74,plain,
( v3_waybel_1(k1_waybel_1(X1,esk1_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)),k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(X1),esk4_0,X3)),X1,esk1_0)
| ~ epred1_1(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,esk2_0,X2,X3),X1,esk2_0)
| ~ m2_relset_1(X3,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_2(X3,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_19]),c_0_45]),c_0_25]),c_0_47]),c_0_26]),c_0_48]),c_0_27]),c_0_28]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_64]),c_0_65]) ).
cnf(c_0_75,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk3_0,esk2_0,k2_waybel34(esk3_0,esk2_0,esk5_0),esk5_0),esk3_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(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_44,c_0_42]),c_0_66]),c_0_67]),c_0_68]),c_0_53]),c_0_69]),c_0_54]),c_0_28]),c_0_55]),c_0_50]),c_0_70]),c_0_30]),c_0_56]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]) ).
fof(c_0_76,plain,
! [X208] :
( v3_struct_0(X208)
| ~ v2_orders_2(X208)
| ~ v3_orders_2(X208)
| ~ v4_orders_2(X208)
| ~ l1_orders_2(X208)
| epred1_1(X208) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_57]),c_0_55])]) ).
fof(c_0_79,plain,
! [X95,X96,X97,X98,X99] :
( ( v1_funct_1(k7_funct_2(X95,X96,X97,X98,X99))
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) )
& ( v1_funct_2(k7_funct_2(X95,X96,X97,X98,X99),X95,X97)
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) )
& ( m2_relset_1(k7_funct_2(X95,X96,X97,X98,X99),X95,X97)
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) ) ),
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_80,negated_conjecture,
( v3_waybel_1(k1_waybel_1(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)),esk3_0,esk1_0)
| ~ epred1_1(esk3_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(spm,[status(thm)],[c_0_74,c_0_75]),c_0_42]),c_0_66]),c_0_53]),c_0_68]),c_0_54]),c_0_69])]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( v3_struct_0(X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,esk3_0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v18_waybel_0(X2,X1,esk2_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1) ),
inference(sr,[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_77,c_0_42]),c_0_67]),c_0_53]),c_0_54]),c_0_55]),c_0_28])]),c_0_78]),c_0_65]) ).
cnf(c_0_83,plain,
( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_85,negated_conjecture,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_18,c_0_45]) ).
cnf(c_0_86,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_87,plain,
( X3 = k2_waybel34(X1,X2,X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_88,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)),esk3_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_80,c_0_81]),c_0_55]),c_0_58]),c_0_59]),c_0_60])]),c_0_78]) ).
cnf(c_0_89,negated_conjecture,
v18_waybel_0(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_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_82,c_0_19]),c_0_46]),c_0_25]),c_0_26]),c_0_27])]),c_0_64]) ).
cnf(c_0_90,negated_conjecture,
k2_waybel34(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_92,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_93,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_47]),c_0_48])]) ).
cnf(c_0_94,negated_conjecture,
m1_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_18,c_0_66]) ).
cnf(c_0_95,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_96,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_85]),c_0_47]),c_0_48])]) ).
cnf(c_0_97,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_85]),c_0_47]),c_0_48])]) ).
fof(c_0_98,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_99,plain,
! [X205] :
( ~ v1_xboole_0(X205)
| X205 = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
cnf(c_0_100,negated_conjecture,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_27]),c_0_55]),c_0_49]),c_0_70]),c_0_29]),c_0_56]),c_0_31]),c_0_57]),c_0_33]),c_0_58]),c_0_35]),c_0_59]),c_0_37]),c_0_60])]),c_0_90]) ).
cnf(c_0_101,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_102,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_103,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_68]),c_0_69])]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_105,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_68]),c_0_69])]) ).
cnf(c_0_106,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_94]),c_0_68]),c_0_69])]) ).
fof(c_0_107,plain,
! [X134] :
( v3_struct_0(X134)
| ~ l1_struct_0(X134)
| ~ v1_xboole_0(u1_struct_0(X134)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])]) ).
cnf(c_0_108,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,negated_conjecture,
v1_xboole_0(u1_struct_0(esk2_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_110,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_111,negated_conjecture,
u1_struct_0(esk2_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
fof(c_0_113,plain,
! [X100] :
( ~ l1_orders_2(X100)
| l1_struct_0(X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_114,negated_conjecture,
~ l1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),c_0_65]) ).
cnf(c_0_115,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : LAT358+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 07:52:51 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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/tmp/tmp.Ai8bPmSXvf/E---3.1_4916.p
% 32.92/4.58 # Version: 3.1.0
% 32.92/4.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.92/4.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.92/4.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.92/4.58 # Starting new_bool_3 with 300s (1) cores
% 32.92/4.58 # Starting new_bool_1 with 300s (1) cores
% 32.92/4.58 # Starting sh5l with 300s (1) cores
% 32.92/4.58 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4994 completed with status 0
% 32.92/4.58 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 32.92/4.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.92/4.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.92/4.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.92/4.58 # No SInE strategy applied
% 32.92/4.58 # Search class: FGHSM-FSLM31-MFFFFFNN
% 32.92/4.58 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.92/4.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 32.92/4.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 32.92/4.58 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 32.92/4.58 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 32.92/4.58 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 32.92/4.58 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 5001 completed with status 0
% 32.92/4.58 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 32.92/4.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.92/4.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.92/4.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.92/4.58 # No SInE strategy applied
% 32.92/4.58 # Search class: FGHSM-FSLM31-MFFFFFNN
% 32.92/4.58 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.92/4.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 32.92/4.58 # Preprocessing time : 0.004 s
% 32.92/4.58 # Presaturation interreduction done
% 32.92/4.58
% 32.92/4.58 # Proof found!
% 32.92/4.58 # SZS status Theorem
% 32.92/4.58 # SZS output start CNFRefutation
% See solution above
% 32.92/4.58 # Parsed axioms : 116
% 32.92/4.58 # Removed by relevancy pruning/SinE : 0
% 32.92/4.58 # Initial clauses : 330
% 32.92/4.58 # Removed in clause preprocessing : 52
% 32.92/4.58 # Initial clauses in saturation : 278
% 32.92/4.58 # Processed clauses : 18906
% 32.92/4.58 # ...of these trivial : 13
% 32.92/4.58 # ...subsumed : 12367
% 32.92/4.58 # ...remaining for further processing : 6526
% 32.92/4.58 # Other redundant clauses eliminated : 22
% 32.92/4.58 # Clauses deleted for lack of memory : 0
% 32.92/4.58 # Backward-subsumed : 137
% 32.92/4.58 # Backward-rewritten : 1730
% 32.92/4.58 # Generated clauses : 61735
% 32.92/4.58 # ...of the previous two non-redundant : 61274
% 32.92/4.58 # ...aggressively subsumed : 0
% 32.92/4.58 # Contextual simplify-reflections : 546
% 32.92/4.58 # Paramodulations : 61713
% 32.92/4.58 # Factorizations : 0
% 32.92/4.58 # NegExts : 0
% 32.92/4.58 # Equation resolutions : 22
% 32.92/4.58 # Disequality decompositions : 0
% 32.92/4.58 # Total rewrite steps : 35064
% 32.92/4.58 # ...of those cached : 34797
% 32.92/4.58 # Propositional unsat checks : 1
% 32.92/4.58 # Propositional check models : 0
% 32.92/4.58 # Propositional check unsatisfiable : 0
% 32.92/4.58 # Propositional clauses : 0
% 32.92/4.58 # Propositional clauses after purity: 0
% 32.92/4.58 # Propositional unsat core size : 0
% 32.92/4.58 # Propositional preprocessing time : 0.000
% 32.92/4.58 # Propositional encoding time : 0.047
% 32.92/4.58 # Propositional solver time : 0.032
% 32.92/4.58 # Success case prop preproc time : 0.000
% 32.92/4.58 # Success case prop encoding time : 0.000
% 32.92/4.58 # Success case prop solver time : 0.000
% 32.92/4.58 # Current number of processed clauses : 4390
% 32.92/4.58 # Positive orientable unit clauses : 342
% 32.92/4.58 # Positive unorientable unit clauses: 1
% 32.92/4.58 # Negative unit clauses : 45
% 32.92/4.58 # Non-unit-clauses : 4002
% 32.92/4.58 # Current number of unprocessed clauses: 42799
% 32.92/4.58 # ...number of literals in the above : 243455
% 32.92/4.58 # Current number of archived formulas : 0
% 32.92/4.58 # Current number of archived clauses : 2136
% 32.92/4.58 # Clause-clause subsumption calls (NU) : 8286026
% 32.92/4.58 # Rec. Clause-clause subsumption calls : 2499949
% 32.92/4.58 # Non-unit clause-clause subsumptions : 9942
% 32.92/4.58 # Unit Clause-clause subsumption calls : 131663
% 32.92/4.58 # Rewrite failures with RHS unbound : 0
% 32.92/4.58 # BW rewrite match attempts : 2921
% 32.92/4.58 # BW rewrite match successes : 58
% 32.92/4.58 # Condensation attempts : 0
% 32.92/4.58 # Condensation successes : 0
% 32.92/4.58 # Termbank termtop insertions : 2592393
% 32.92/4.58 # Search garbage collected termcells : 4309
% 32.92/4.58
% 32.92/4.58 # -------------------------------------------------
% 32.92/4.58 # User time : 3.885 s
% 32.92/4.58 # System time : 0.060 s
% 32.92/4.58 # Total time : 3.945 s
% 32.92/4.58 # Maximum resident set size: 2768 pages
% 32.92/4.58
% 32.92/4.58 # -------------------------------------------------
% 32.92/4.58 # User time : 20.058 s
% 32.92/4.58 # System time : 0.308 s
% 32.92/4.58 # Total time : 20.366 s
% 32.92/4.58 # Maximum resident set size: 1884 pages
% 32.92/4.58 % E---3.1 exiting
% 32.92/4.58 % E exiting
%------------------------------------------------------------------------------