TSTP Solution File: LAT357+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT357+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 04:47:46 EDT 2022
% Result : Theorem 1.13s 166.29s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 108 ( 37 unt; 0 def)
% Number of atoms : 1229 ( 32 equ)
% Maximal formula atoms : 50 ( 11 avg)
% Number of connectives : 1953 ( 832 ~; 869 |; 197 &)
% ( 3 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-5 aty)
% Number of variables : 236 ( 3 sgn 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_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(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( 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)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_waybel34) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_funct_2) ).
fof(t8_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))
& v17_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))
& v17_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k1_waybel34(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),k1_waybel34(X2,X3,X5),k1_waybel34(X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_waybel34) ).
fof(t26_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)) )
=> ( ( v17_waybel_0(X4,X1,X2)
& v17_waybel_0(X5,X2,X3) )
=> v17_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_waybel20) ).
fof(redefinition_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) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k7_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_lattice3) ).
fof(dt_k1_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(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_waybel34) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(c_0_11,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_12,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_11]) ).
fof(c_0_13,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ epred1_1(X8)
| v3_struct_0(X9)
| ~ v2_orders_2(X9)
| ~ v3_orders_2(X9)
| ~ v4_orders_2(X9)
| ~ l1_orders_2(X9)
| v3_struct_0(X10)
| ~ v2_orders_2(X10)
| ~ v3_orders_2(X10)
| ~ v4_orders_2(X10)
| ~ l1_orders_2(X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,u1_struct_0(X8),u1_struct_0(X9))
| ~ m2_relset_1(X11,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,u1_struct_0(X9),u1_struct_0(X10))
| ~ m2_relset_1(X12,u1_struct_0(X9),u1_struct_0(X10))
| ~ v1_funct_1(X13)
| ~ v1_funct_2(X13,u1_struct_0(X9),u1_struct_0(X8))
| ~ m2_relset_1(X13,u1_struct_0(X9),u1_struct_0(X8))
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,u1_struct_0(X10),u1_struct_0(X9))
| ~ m2_relset_1(X14,u1_struct_0(X10),u1_struct_0(X9))
| ~ v3_waybel_1(k1_waybel_1(X8,X9,X11,X13),X8,X9)
| ~ v3_waybel_1(k1_waybel_1(X9,X10,X12,X14),X9,X10)
| v3_waybel_1(k1_waybel_1(X8,X10,k7_funct_2(u1_struct_0(X8),u1_struct_0(X9),u1_struct_0(X10),X11,X12),k7_funct_2(u1_struct_0(X10),u1_struct_0(X9),u1_struct_0(X8),X14,X13)),X8,X10) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])])])])]) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8] :
( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])])])]) ).
cnf(c_0_15,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),k7_funct_2(u1_struct_0(X2),u1_struct_0(X3),u1_struct_0(X1),X6,X7)),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_waybel_1(k1_waybel_1(X3,X2,X5,X6),X3,X2)
| ~ v3_waybel_1(k1_waybel_1(X1,X3,X4,X7),X1,X3)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_1(X7)
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| X4 != k1_waybel34(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,axiom,
! [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)],[t7_waybel15,c_0_11]) ).
cnf(c_0_18,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),k7_funct_2(u1_struct_0(X2),u1_struct_0(X3),u1_struct_0(X1),X6,X7)),X1,X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X6 != k1_waybel34(X3,X2,X5)
| ~ epred1_1(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X3,X4,X7),X1,X3)
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v17_waybel_0(X5,X3,X2)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_19,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| epred1_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_17])])]) ).
cnf(c_0_20,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),k7_funct_2(u1_struct_0(X2),u1_struct_0(X3),u1_struct_0(X1),X6,X7)),X1,X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X6 != k1_waybel34(X3,X2,X5)
| X7 != k1_waybel34(X1,X3,X4)
| ~ epred1_1(X1)
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v17_waybel_0(X5,X3,X2)
| ~ v17_waybel_0(X4,X1,X3)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_21,plain,
( epred1_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),k7_funct_2(u1_struct_0(X2),u1_struct_0(X3),u1_struct_0(X1),X6,X7)),X1,X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| X6 != k1_waybel34(X3,X2,X5)
| X7 != k1_waybel34(X1,X3,X4)
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v17_waybel_0(X5,X3,X2)
| ~ v17_waybel_0(X4,X1,X3)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_24,plain,
! [X6,X7,X8,X9,X10] :
( ( v1_funct_1(k7_funct_2(X6,X7,X8,X9,X10))
| v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8) )
& ( v1_funct_2(k7_funct_2(X6,X7,X8,X9,X10),X6,X8)
| v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8) )
& ( m2_relset_1(k7_funct_2(X6,X7,X8,X9,X10),X6,X8)
| v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_funct_2])])])]) ).
cnf(c_0_25,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| X4 != k1_waybel34(X2,X1,X7)
| X5 != k1_waybel34(X3,X2,X6)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),X3,X1)
| ~ v17_waybel_0(X7,X2,X1)
| ~ v17_waybel_0(X6,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( v1_xboole_0(X2)
| m2_relset_1(k7_funct_2(X5,X2,X3,X4,X1),X5,X3)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,X5,X2)
| ~ v1_funct_2(X4,X5,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_27,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| v1_xboole_0(u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| X4 != k1_waybel34(X2,X1,X7)
| X5 != k1_waybel34(X3,X2,X6)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),X3,X1)
| ~ v17_waybel_0(X7,X2,X1)
| ~ v17_waybel_0(X6,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
( v1_xboole_0(X2)
| v1_funct_2(k7_funct_2(X5,X2,X3,X4,X1),X5,X3)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,X5,X2)
| ~ v1_funct_2(X4,X5,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_29,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))
& v17_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))
& v17_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k1_waybel34(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),k1_waybel34(X2,X3,X5),k1_waybel34(X1,X2,X4)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_waybel34]) ).
cnf(c_0_30,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| v1_xboole_0(u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| X4 != k1_waybel34(X2,X1,X7)
| X5 != k1_waybel34(X3,X2,X6)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),X3,X1)
| ~ v17_waybel_0(X7,X2,X1)
| ~ v17_waybel_0(X6,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( v1_xboole_0(X2)
| v1_funct_1(k7_funct_2(X5,X2,X3,X4,X1))
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,X5,X2)
| ~ v1_funct_2(X4,X5,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
! [X6,X7,X8,X9,X10] :
( v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X8)
| ~ l1_orders_2(X8)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X9,u1_struct_0(X6),u1_struct_0(X7))
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,u1_struct_0(X7),u1_struct_0(X8))
| ~ m2_relset_1(X10,u1_struct_0(X7),u1_struct_0(X8))
| ~ v17_waybel_0(X9,X6,X7)
| ~ v17_waybel_0(X10,X7,X8)
| v17_waybel_0(k7_funct_2(u1_struct_0(X6),u1_struct_0(X7),u1_struct_0(X8),X9,X10),X6,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t26_waybel20])])])])])]) ).
fof(c_0_33,plain,
! [X6,X7,X8,X9,X10] :
( v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8)
| k7_funct_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2])])]) ).
fof(c_0_34,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_35,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))
& v17_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))
& v17_waybel_0(esk5_0,esk2_0,esk3_0)
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& k1_waybel34(esk1_0,esk3_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),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_36,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattice3])])]) ).
cnf(c_0_37,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| v1_xboole_0(u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| X4 != k1_waybel34(X2,X1,X7)
| X5 != k1_waybel34(X3,X2,X6)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),X3,X1)
| ~ v17_waybel_0(X7,X2,X1)
| ~ v17_waybel_0(X6,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X7,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X7))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X7)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v17_waybel_0(X5,X2,X3)
| ~ v17_waybel_0(X4,X1,X2)
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
v1_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),k1_waybel34(X2,X1,X4),X5) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X4))
| v1_xboole_0(u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| X5 != k1_waybel34(X3,X2,X6)
| ~ m1_relset_1(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X4),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X4),X3,X1)
| ~ v17_waybel_0(X4,X2,X1)
| ~ v17_waybel_0(X6,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X4),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X6,X4))
| ~ v1_funct_1(k1_waybel34(X2,X1,X4))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v17_waybel_0(k5_relat_1(X4,X5),X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X1))
| ~ v17_waybel_0(X5,X1,X2)
| ~ v17_waybel_0(X4,X3,X1)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_52,negated_conjecture,
v17_waybel_0(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
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_35]) ).
cnf(c_0_54,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_46])]) ).
cnf(c_0_57,negated_conjecture,
k1_waybel34(esk1_0,esk3_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),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),k1_waybel34(X2,X1,X4),k1_waybel34(X3,X2,X5)) = k1_waybel34(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X5,X4))
| v1_xboole_0(u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ m1_relset_1(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(k1_waybel34(X3,X2,X5),u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X5,X4),u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(k1_waybel34(X3,X2,X5),u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X5,X4),X3,X1)
| ~ v17_waybel_0(X4,X2,X1)
| ~ v17_waybel_0(X5,X3,X2)
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X5,X4),u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_2(k1_waybel34(X2,X1,X4),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k1_waybel34(X3,X2,X5),u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X5,X4))
| ~ v1_funct_1(k1_waybel34(X2,X1,X4))
| ~ v1_funct_1(k1_waybel34(X3,X2,X5))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X5)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_59,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_60,negated_conjecture,
v17_waybel_0(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_61,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_62,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_63,negated_conjecture,
v3_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_64,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_66,negated_conjecture,
v2_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_67,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_68,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_69,negated_conjecture,
v4_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_70,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_71,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_72,negated_conjecture,
v3_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_73,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_74,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_75,negated_conjecture,
v2_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_76,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_77,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_78,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_48]),c_0_49])]) ).
cnf(c_0_79,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v3_struct_0(X1)
| v17_waybel_0(k5_relat_1(X2,esk5_0),X1,esk3_0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v17_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_44]),c_0_46])]),c_0_55]),c_0_56]) ).
cnf(c_0_80,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_81,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_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))
| ~ m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v17_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)
| ~ 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_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk4_0)) ),
inference(sr,[status(thm)],[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(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_57,c_0_58]),c_0_41]),c_0_59]),c_0_52]),c_0_60]),c_0_53]),c_0_61]),c_0_54]),c_0_62]),c_0_44]),c_0_49]),c_0_46]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_43]),c_0_48]),c_0_45]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77])]),c_0_56]),c_0_55]),c_0_78]) ).
cnf(c_0_82,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_40,c_0_59]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v3_struct_0(X1)
| v17_waybel_0(k5_relat_1(X2,esk5_0),X1,esk3_0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v17_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(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v17_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)
| ~ 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_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(spm,[status(thm)],[c_0_81,c_0_26]),c_0_82]),c_0_51]),c_0_61]),c_0_53]),c_0_62]),c_0_54])]) ).
cnf(c_0_85,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_xboole_0(X1)
| v3_struct_0(X2)
| v17_waybel_0(k7_funct_2(X3,X1,X4,X5,esk5_0),X2,esk3_0)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(esk2_0))
| ~ m1_relset_1(esk5_0,X1,X4)
| ~ m1_relset_1(X5,X3,X1)
| ~ v17_waybel_0(X5,X2,esk2_0)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(esk2_0))
| ~ v1_funct_2(esk5_0,X1,X4)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_1(X5)
| ~ l1_orders_2(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_39]),c_0_54])]) ).
cnf(c_0_86,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_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_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk4_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(spm,[status(thm)],[c_0_84,c_0_85]),c_0_82]),c_0_51]),c_0_60]),c_0_61]),c_0_53]),c_0_62]),c_0_49])]),c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_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))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(spm,[status(thm)],[c_0_86,c_0_28]),c_0_82]),c_0_51]),c_0_61]),c_0_53]),c_0_62]),c_0_54])]) ).
fof(c_0_88,plain,
! [X4,X5,X6] :
( ( v1_funct_1(k1_waybel34(X4,X5,X6))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v1_funct_2(k1_waybel34(X4,X5,X6),u1_struct_0(X5),u1_struct_0(X4))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( m2_relset_1(k1_waybel34(X4,X5,X6),u1_struct_0(X5),u1_struct_0(X4))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel34])])]) ).
cnf(c_0_89,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(spm,[status(thm)],[c_0_87,c_0_31]),c_0_82]),c_0_51]),c_0_61]),c_0_53]),c_0_62]),c_0_54])]) ).
cnf(c_0_90,plain,
( m2_relset_1(k1_waybel34(X2,X3,X1),u1_struct_0(X3),u1_struct_0(X2))
| ~ m1_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)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_80]) ).
cnf(c_0_92,plain,
( m1_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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)
| ~ 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(spm,[status(thm)],[c_0_40,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_51]),c_0_53]),c_0_54]),c_0_44]),c_0_46]),c_0_66]),c_0_68]),c_0_43]),c_0_45]),c_0_69]),c_0_71]),c_0_72]),c_0_74]),c_0_75]),c_0_77])]) ).
cnf(c_0_94,plain,
( v1_funct_2(k1_waybel34(X2,X3,X1),u1_struct_0(X3),u1_struct_0(X2))
| ~ m1_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)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_51]),c_0_53]),c_0_54]),c_0_44]),c_0_46]),c_0_66]),c_0_68]),c_0_43]),c_0_45]),c_0_69]),c_0_71]),c_0_72]),c_0_74]),c_0_75]),c_0_77])]) ).
cnf(c_0_96,plain,
( v1_funct_1(k1_waybel34(X2,X3,X1))
| ~ m1_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)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_51]),c_0_53]),c_0_54]),c_0_44]),c_0_46]),c_0_66]),c_0_68]),c_0_43]),c_0_45]),c_0_69]),c_0_71]),c_0_72]),c_0_74]),c_0_75]),c_0_77])]) ).
cnf(c_0_98,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_80]) ).
fof(c_0_99,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_100,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_101,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_92]),c_0_82]),c_0_61]),c_0_62]),c_0_46]),c_0_49]),c_0_68]),c_0_67]),c_0_45]),c_0_48]),c_0_71]),c_0_70]),c_0_74]),c_0_73]),c_0_77]),c_0_76])]) ).
cnf(c_0_102,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_103,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_94]),c_0_82]),c_0_61]),c_0_62]),c_0_46]),c_0_49]),c_0_68]),c_0_67]),c_0_45]),c_0_48]),c_0_71]),c_0_70]),c_0_74]),c_0_73]),c_0_77]),c_0_76])]) ).
cnf(c_0_105,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
v1_xboole_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_96]),c_0_82]),c_0_61]),c_0_62]),c_0_46]),c_0_49]),c_0_68]),c_0_67]),c_0_45]),c_0_48]),c_0_71]),c_0_70]),c_0_74]),c_0_73]),c_0_77]),c_0_76])]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_46])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT357+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 03:41:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.46 eprover: CPU time limit exceeded, terminating
% 0.48/46.49 eprover: CPU time limit exceeded, terminating
% 0.60/69.44 eprover: CPU time limit exceeded, terminating
% 0.60/69.46 eprover: CPU time limit exceeded, terminating
% 0.60/69.47 eprover: CPU time limit exceeded, terminating
% 0.60/69.51 eprover: CPU time limit exceeded, terminating
% 0.72/92.47 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.72/92.47
% 0.72/92.50 eprover: CPU time limit exceeded, terminating
% 0.72/92.52 eprover: CPU time limit exceeded, terminating
% 0.85/115.49 eprover: CPU time limit exceeded, terminating
% 0.85/115.52 eprover: CPU time limit exceeded, terminating
% 0.85/115.53 eprover: CPU time limit exceeded, terminating
% 0.85/115.54 eprover: CPU time limit exceeded, terminating
% 0.99/138.53 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.99/138.53
% 0.99/138.55 eprover: CPU time limit exceeded, terminating
% 0.99/138.55 eprover: CPU time limit exceeded, terminating
% 1.11/161.54 eprover: CPU time limit exceeded, terminating
% 1.11/161.56 eprover: CPU time limit exceeded, terminating
% 1.11/161.57 eprover: CPU time limit exceeded, terminating
% 1.11/161.57 eprover: CPU time limit exceeded, terminating
% 1.13/166.29 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.13/166.29 # Preprocessing time : 0.023 s
% 1.13/166.29 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # Preprocessing time : 0.020 s
% 1.13/166.29 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # Preprocessing time : 0.017 s
% 1.13/166.29 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.13/166.29 # Preprocessing time : 0.014 s
% 1.13/166.29
% 1.13/166.29 # Failure: Out of unprocessed clauses!
% 1.13/166.29 # OLD status GaveUp
% 1.13/166.29 # Parsed axioms : 116
% 1.13/166.29 # Removed by relevancy pruning/SinE : 103
% 1.13/166.29 # Initial clauses : 49
% 1.13/166.29 # Removed in clause preprocessing : 1
% 1.13/166.29 # Initial clauses in saturation : 48
% 1.13/166.29 # Processed clauses : 53
% 1.13/166.29 # ...of these trivial : 0
% 1.13/166.29 # ...subsumed : 0
% 1.13/166.29 # ...remaining for further processing : 53
% 1.13/166.29 # Other redundant clauses eliminated : 0
% 1.13/166.29 # Clauses deleted for lack of memory : 0
% 1.13/166.29 # Backward-subsumed : 0
% 1.13/166.29 # Backward-rewritten : 0
% 1.13/166.29 # Generated clauses : 12
% 1.13/166.29 # ...of the previous two non-trivial : 5
% 1.13/166.29 # Contextual simplify-reflections : 0
% 1.13/166.29 # Paramodulations : 12
% 1.13/166.29 # Factorizations : 0
% 1.13/166.29 # Equation resolutions : 0
% 1.13/166.29 # Current number of processed clauses : 53
% 1.13/166.29 # Positive orientable unit clauses : 35
% 1.13/166.29 # Positive unorientable unit clauses: 0
% 1.13/166.29 # Negative unit clauses : 1
% 1.13/166.29 # Non-unit-clauses : 17
% 1.13/166.29 # Current number of unprocessed clauses: 0
% 1.13/166.29 # ...number of literals in the above : 0
% 1.13/166.29 # Current number of archived formulas : 0
% 1.13/166.29 # Current number of archived clauses : 0
% 1.13/166.29 # Clause-clause subsumption calls (NU) : 605
% 1.13/166.29 # Rec. Clause-clause subsumption calls : 49
% 1.13/166.29 # Non-unit clause-clause subsumptions : 0
% 1.13/166.29 # Unit Clause-clause subsumption calls : 14
% 1.13/166.29 # Rewrite failures with RHS unbound : 0
% 1.13/166.29 # BW rewrite match attempts : 0
% 1.13/166.29 # BW rewrite match successes : 0
% 1.13/166.29 # Condensation attempts : 0
% 1.13/166.29 # Condensation successes : 0
% 1.13/166.29 # Termbank termtop insertions : 5725
% 1.13/166.29
% 1.13/166.29 # -------------------------------------------------
% 1.13/166.29 # User time : 0.012 s
% 1.13/166.29 # System time : 0.003 s
% 1.13/166.29 # Total time : 0.015 s
% 1.13/166.29 # Maximum resident set size: 3804 pages
% 1.13/166.29 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.13/166.29 # Preprocessing time : 0.010 s
% 1.13/166.29 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.13/166.29 # Preprocessing time : 0.014 s
% 1.13/166.29 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 1.13/166.29 # Preprocessing time : 0.012 s
% 1.13/166.29 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 1.13/166.29
% 1.13/166.29 # Failure: Resource limit exceeded (time)
% 1.13/166.29 # OLD status Res
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 1.13/166.29 # Preprocessing time : 0.032 s
% 1.13/166.29 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 1.13/166.29 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 1.13/166.29 # Preprocessing time : 0.011 s
% 1.13/166.29
% 1.13/166.29 # Failure: Out of unprocessed clauses!
% 1.13/166.29 # OLD status GaveUp
% 1.13/166.29 # Parsed axioms : 116
% 1.13/166.29 # Removed by relevancy pruning/SinE : 103
% 1.13/166.29 # Initial clauses : 49
% 1.13/166.29 # Removed in clause preprocessing : 1
% 1.13/166.29 # Initial clauses in saturation : 48
% 1.13/166.29 # Processed clauses : 53
% 1.13/166.29 # ...of these trivial : 0
% 1.13/166.29 # ...subsumed : 0
% 1.13/166.29 # ...remaining for further processing : 53
% 1.13/166.29 # Other redundant clauses eliminated : 0
% 1.13/166.29 # Clauses deleted for lack of memory : 0
% 1.13/166.29 # Backward-subsumed : 0
% 1.13/166.29 # Backward-rewritten : 0
% 1.13/166.29 # Generated clauses : 12
% 1.13/166.29 # ...of the previous two non-trivial : 5
% 1.13/166.29 # Contextual simplify-reflections : 0
% 1.13/166.29 # Paramodulations : 12
% 1.13/166.29 # Factorizations : 0
% 1.13/166.29 # Equation resolutions : 0
% 1.13/166.29 # Current number of processed clauses : 53
% 1.13/166.29 # Positive orientable unit clauses : 35
% 1.13/166.29 # Positive unorientable unit clauses: 0
% 1.13/166.29 # Negative unit clauses : 1
% 1.13/166.29 # Non-unit-clauses : 17
% 1.13/166.29 # Current number of unprocessed clauses: 0
% 1.13/166.29 # ...number of literals in the above : 0
% 1.13/166.29 # Current number of archived formulas : 0
% 1.13/166.29 # Current number of archived clauses : 0
% 1.13/166.29 # Clause-clause subsumption calls (NU) : 62
% 1.13/166.29 # Rec. Clause-clause subsumption calls : 13
% 1.13/166.29 # Non-unit clause-clause subsumptions : 0
% 1.13/166.29 # Unit Clause-clause subsumption calls : 19
% 1.13/166.29 # Rewrite failures with RHS unbound : 0
% 1.13/166.29 # BW rewrite match attempts : 0
% 1.13/166.29 # BW rewrite match successes : 0
% 1.13/166.29 # Condensation attempts : 0
% 1.13/166.29 # Condensation successes : 0
% 1.13/166.29 # Termbank termtop insertions : 5725
% 1.13/166.29
% 1.13/166.29 # -------------------------------------------------
% 1.13/166.29 # User time : 0.010 s
% 1.13/166.29 # System time : 0.002 s
% 1.13/166.29 # Total time : 0.012 s
% 1.13/166.29 # Maximum resident set size: 3292 pages
% 1.13/166.29 # Running protocol protocol_eprover_e9eb28a402764e1f99b41605245cd0a359f475fb for 23 seconds:
% 1.13/166.29 # Preprocessing time : 0.020 s
% 1.13/166.29
% 1.13/166.29 # Proof found!
% 1.13/166.29 # SZS status Theorem
% 1.13/166.29 # SZS output start CNFRefutation
% See solution above
% 1.13/166.29 # Proof object total steps : 108
% 1.13/166.29 # Proof object clause steps : 81
% 1.13/166.29 # Proof object formula steps : 27
% 1.13/166.29 # Proof object conjectures : 55
% 1.13/166.29 # Proof object clause conjectures : 52
% 1.13/166.29 # Proof object formula conjectures : 3
% 1.13/166.29 # Proof object initial clauses used : 47
% 1.13/166.29 # Proof object initial formulas used : 11
% 1.13/166.29 # Proof object generating inferences : 34
% 1.13/166.29 # Proof object simplifying inferences : 179
% 1.13/166.29 # Training examples: 0 positive, 0 negative
% 1.13/166.29 # Parsed axioms : 116
% 1.13/166.29 # Removed by relevancy pruning/SinE : 0
% 1.13/166.29 # Initial clauses : 330
% 1.13/166.29 # Removed in clause preprocessing : 52
% 1.13/166.29 # Initial clauses in saturation : 278
% 1.13/166.29 # Processed clauses : 33787
% 1.13/166.29 # ...of these trivial : 1
% 1.13/166.29 # ...subsumed : 22968
% 1.13/166.29 # ...remaining for further processing : 10818
% 1.13/166.29 # Other redundant clauses eliminated : 0
% 1.13/166.29 # Clauses deleted for lack of memory : 0
% 1.13/166.29 # Backward-subsumed : 173
% 1.13/166.29 # Backward-rewritten : 822
% 1.13/166.29 # Generated clauses : 152906
% 1.13/166.29 # ...of the previous two non-trivial : 152848
% 1.13/166.29 # Contextual simplify-reflections : 0
% 1.13/166.29 # Paramodulations : 151284
% 1.13/166.29 # Factorizations : 0
% 1.13/166.29 # Equation resolutions : 2
% 1.13/166.29 # Current number of processed clauses : 9283
% 1.13/166.29 # Positive orientable unit clauses : 380
% 1.13/166.29 # Positive unorientable unit clauses: 1
% 1.13/166.29 # Negative unit clauses : 308
% 1.13/166.29 # Non-unit-clauses : 8594
% 1.13/166.29 # Current number of unprocessed clauses: 115472
% 1.13/166.29 # ...number of literals in the above : 593430
% 1.13/166.29 # Current number of archived formulas : 0
% 1.13/166.29 # Current number of archived clauses : 996
% 1.13/166.29 # Clause-clause subsumption calls (NU) : 25369280
% 1.13/166.29 # Rec. Clause-clause subsumption calls : 9342510
% 1.13/166.29 # Non-unit clause-clause subsumptions : 23128
% 1.13/166.29 # Unit Clause-clause subsumption calls : 1619164
% 1.13/166.29 # Rewrite failures with RHS unbound : 0
% 1.13/166.29 # BW rewrite match attempts : 305
% 1.13/166.29 # BW rewrite match successes : 298
% 1.13/166.29 # Condensation attempts : 0
% 1.13/166.29 # Condensation successes : 0
% 1.13/166.29 # Termbank termtop insertions : 2441160
% 1.13/166.29
% 1.13/166.29 # -------------------------------------------------
% 1.13/166.29 # User time : 3.695 s
% 1.13/166.29 # System time : 0.057 s
% 1.13/166.29 # Total time : 3.752 s
% 1.13/166.29 # Maximum resident set size: 106500 pages
%------------------------------------------------------------------------------