TSTP Solution File: LAT370+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT370+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 04:48:00 EDT 2022
% Result : Theorem 0.23s 2.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 16 unt; 0 def)
% Number of atoms : 1056 ( 9 equ)
% Maximal formula atoms : 168 ( 11 avg)
% Number of connectives : 1673 ( 711 ~; 746 |; 181 &)
% ( 2 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 141 ( 3 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t39_waybel34,axiom,
! [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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v18_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
& v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& k2_waybel34(k2_yellow_2(X1,X1,X2),X1,k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t39_waybel34) ).
fof(d17_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d17_waybel_1) ).
fof(cc1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_yellow_0) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_lattice3) ).
fof(t40_waybel34,axiom,
! [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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
<=> v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t40_waybel34) ).
fof(t25_waybel34,axiom,
! [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)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
=> v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_waybel34) ).
fof(fc2_waybel_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v23_waybel_0(k7_grcat_1(X1),X1,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_waybel_1) ).
fof(t43_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t43_waybel34) ).
fof(dt_k3_waybel_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(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(k3_waybel_1(X1,X2,X3))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_waybel_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_yellow_0) ).
fof(dt_k2_yellow_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(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_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_yellow_2) ).
fof(cc3_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1) )
=> ( v1_funct_1(X2)
& ~ v1_xboole_0(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc3_waybel_1) ).
fof(fc10_waybel10,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc10_waybel10) ).
fof(fc10_waybel34,axiom,
! [X1,X2] :
( ( 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)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v3_lattice3(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc10_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_lattice3) ).
fof(c_0_16,plain,
! [X3,X4] :
( ( v18_waybel_0(k2_waybel_1(X3,X3,X4),X3,k2_yellow_2(X3,X3,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) )
& ( v17_waybel_0(k3_waybel_1(X3,X3,X4),k2_yellow_2(X3,X3,X4),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) )
& ( k2_waybel34(k2_yellow_2(X3,X3,X4),X3,k2_waybel_1(X3,X3,X4)) = k3_waybel_1(X3,X3,X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) )
& ( k1_waybel34(k2_yellow_2(X3,X3,X4),X3,k3_waybel_1(X3,X3,X4)) = k2_waybel_1(X3,X3,X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) ) ),
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)],[t39_waybel34])])])])])]) ).
fof(c_0_17,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| k3_waybel_1(X4,X5,X6) = k7_grcat_1(k2_yellow_2(X4,X5,X6)) ),
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)],[d17_waybel_1])])])])])]) ).
fof(c_0_18,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_yellow_0])])])]) ).
fof(c_0_19,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc2_lattice3])])]) ).
fof(c_0_20,plain,
! [X3,X4] :
( ( ~ v4_waybel_0(k2_yellow_2(X3,X3,X4),X3)
| v22_waybel_0(k3_waybel_1(X3,X3,X4),k2_yellow_2(X3,X3,X4),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) )
& ( ~ v22_waybel_0(k3_waybel_1(X3,X3,X4),k2_yellow_2(X3,X3,X4),X3)
| v4_waybel_0(k2_yellow_2(X3,X3,X4),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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) ) ),
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)],[t40_waybel34])])])])])]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ v3_waybel_3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v17_waybel_0(X6,X4,X5)
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_waybel34(k1_waybel34(X4,X5,X6),X5,X4)
| v22_waybel_0(X6,X4,X5) ),
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)],[t25_waybel34])])])])]) ).
cnf(c_0_22,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_27,plain,
! [X2] :
( ( v1_relat_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_orders_2(X2) )
& ( v23_waybel_0(k7_grcat_1(X2),X2,X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
cnf(c_0_28,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( v22_waybel_0(X1,X2,X3)
| ~ v1_waybel34(k1_waybel34(X2,X3,X1),X3,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v17_waybel_0(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k7_grcat_1(k2_yellow_2(X1,X1,X2))) = k2_waybel_1(X1,X1,X2)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_32,plain,
( v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_33,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( v17_waybel_0(k7_grcat_1(k2_yellow_2(X1,X1,X2)),k2_yellow_2(X1,X1,X2),X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_24]),c_0_25]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t43_waybel34]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v22_waybel_0(k7_grcat_1(k2_yellow_2(X1,X1,X2)),k2_yellow_2(X1,X1,X2),X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_37,plain,
( v22_waybel_0(k7_grcat_1(k2_yellow_2(X1,X1,X2)),k2_yellow_2(X1,X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| ~ m2_relset_1(k7_grcat_1(k2_yellow_2(X1,X1,X2)),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(k7_grcat_1(k2_yellow_2(X1,X1,X2)),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1) ),
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_30,c_0_31]),c_0_32]),c_0_24]),c_0_25]),c_0_33]),c_0_34]) ).
fof(c_0_38,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)
& v3_waybel_3(esk1_0)
& l1_orders_2(esk1_0)
& v1_funct_1(esk2_0)
& v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v7_waybel_1(esk2_0,esk1_0)
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0))
& ~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_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_35])])])])]) ).
fof(c_0_39,plain,
! [X4,X5,X6] :
( ( v1_funct_1(k3_waybel_1(X4,X5,X6))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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(k3_waybel_1(X4,X5,X6),u1_struct_0(k2_yellow_2(X4,X5,X6)),u1_struct_0(X5))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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(k3_waybel_1(X4,X5,X6),u1_struct_0(k2_yellow_2(X4,X5,X6)),u1_struct_0(X5))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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)],[inference(fof_simplification,[status(thm)],[dt_k3_waybel_1])])])]) ).
fof(c_0_40,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])])])]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| ~ m2_relset_1(k7_grcat_1(k2_yellow_2(X1,X1,X2)),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(k7_grcat_1(k2_yellow_2(X1,X1,X2)),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
v3_waybel_3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,negated_conjecture,
~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_54,plain,
( v3_struct_0(X3)
| v3_struct_0(X2)
| v1_funct_2(k3_waybel_1(X2,X3,X1),u1_struct_0(k2_yellow_2(X2,X3,X1)),u1_struct_0(X3))
| ~ 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)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_56,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m2_relset_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52])]),c_0_53]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k7_grcat_1(k2_yellow_2(X2,X1,X3)),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_23]),c_0_55]) ).
cnf(c_0_58,plain,
( v3_struct_0(X3)
| v3_struct_0(X2)
| m2_relset_1(k3_waybel_1(X2,X3,X1),u1_struct_0(k2_yellow_2(X2,X3,X1)),u1_struct_0(X3))
| ~ 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)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_59,plain,
! [X3,X4] :
( ~ l1_orders_2(X3)
| ~ m1_yellow_0(X4,X3)
| l1_orders_2(X4) ),
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)],[dt_m1_yellow_0])])])])]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( ( v1_orders_2(k2_yellow_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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)) )
& ( v4_yellow_0(k2_yellow_2(X4,X5,X6),X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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)) )
& ( m1_yellow_0(k2_yellow_2(X4,X5,X6),X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(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)],[inference(fof_simplification,[status(thm)],[dt_k2_yellow_2])])])]) ).
fof(c_0_61,plain,
! [X3,X4] :
( ( v1_funct_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3) )
& ( ~ v1_xboole_0(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3) )
& ( v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3) )
& ( v1_partfun1(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3) )
& ( v6_waybel_1(X4,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3) ) ),
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)],[inference(fof_simplification,[status(thm)],[cc3_waybel_1])])])])])])]) ).
fof(c_0_62,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k2_yellow_2(X3,X3,X4))
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v1_orders_2(k2_yellow_2(X3,X3,X4))
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v2_orders_2(k2_yellow_2(X3,X3,X4))
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v3_orders_2(k2_yellow_2(X3,X3,X4))
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v4_orders_2(k2_yellow_2(X3,X3,X4))
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v4_yellow_0(k2_yellow_2(X3,X3,X4),X3)
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v5_yellow_0(k2_yellow_2(X3,X3,X4),X3)
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v7_yellow_0(k2_yellow_2(X3,X3,X4),X3)
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v3_waybel_0(k2_yellow_2(X3,X3,X4),X3)
| v3_struct_0(X3)
| ~ 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(X3),u1_struct_0(X3))
| ~ v7_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc10_waybel10])])])]) ).
cnf(c_0_63,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k7_grcat_1(k2_yellow_2(X2,X1,X3)),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_23]),c_0_55]) ).
cnf(c_0_65,plain,
( l1_orders_2(X1)
| ~ m1_yellow_0(X1,X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( v3_struct_0(X3)
| v3_struct_0(X2)
| m1_yellow_0(k2_yellow_2(X2,X3,X1),X3)
| ~ 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)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
( v3_struct_0(X1)
| v6_waybel_1(X2,X1)
| ~ l1_orders_2(X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( v3_struct_0(X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ v3_struct_0(k2_yellow_2(X2,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_orders_2(k2_yellow_2(X2,X1,X3))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_71,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v1_orders_2(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v2_orders_2(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v3_orders_2(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v4_orders_2(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v1_yellow_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v2_yellow_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v3_yellow_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v4_yellow_0(k2_yellow_2(X3,X3,X4),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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v24_waybel_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v25_waybel_0(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v1_lattice3(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v2_lattice3(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) )
& ( v3_lattice3(k2_yellow_2(X3,X3,X4))
| ~ 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)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v6_waybel_1(X4,X3)
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc10_waybel34])])])]) ).
cnf(c_0_72,negated_conjecture,
( v6_waybel_1(esk2_0,esk1_0)
| v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_45]),c_0_44]),c_0_46]),c_0_47])]) ).
cnf(c_0_73,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_25]) ).
cnf(c_0_75,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_76,plain,
( v3_lattice3(k2_yellow_2(X2,X2,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v6_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_78,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79,negated_conjecture,
( v6_waybel_1(esk2_0,esk1_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_43])]) ).
cnf(c_0_80,plain,
( v3_struct_0(X1)
| v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_45]),c_0_46]),c_0_47]),c_0_49]),c_0_77]),c_0_78]),c_0_50]),c_0_51]),c_0_52])]),c_0_79]) ).
cnf(c_0_82,plain,
( v3_struct_0(X1)
| v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_24]),c_0_25]),c_0_67]) ).
cnf(c_0_83,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_49]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_84,plain,
( v3_struct_0(X2)
| v4_orders_2(k2_yellow_2(X2,X2,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_85,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_86,plain,
( v3_struct_0(X2)
| v3_orders_2(k2_yellow_2(X2,X2,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_87,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_88,plain,
( v3_struct_0(X2)
| v2_orders_2(k2_yellow_2(X2,X2,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_89,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_90,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_relset_1(esk2_0,u1_struct_0(esk1_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(spm,[status(thm)],[c_0_87,c_0_88]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_91,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_92,negated_conjecture,
v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_73]),c_0_43])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_47]),c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT370+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 02:39:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/2.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/2.42 # Preprocessing time : 0.043 s
% 0.23/2.42
% 0.23/2.42 # Proof found!
% 0.23/2.42 # SZS status Theorem
% 0.23/2.42 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 94
% 0.23/2.42 # Proof object clause steps : 61
% 0.23/2.42 # Proof object formula steps : 33
% 0.23/2.42 # Proof object conjectures : 30
% 0.23/2.42 # Proof object clause conjectures : 27
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 36
% 0.23/2.42 # Proof object initial formulas used : 16
% 0.23/2.42 # Proof object generating inferences : 25
% 0.23/2.42 # Proof object simplifying inferences : 95
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 148
% 0.23/2.42 # Removed by relevancy pruning/SinE : 0
% 0.23/2.42 # Initial clauses : 606
% 0.23/2.42 # Removed in clause preprocessing : 70
% 0.23/2.42 # Initial clauses in saturation : 536
% 0.23/2.42 # Processed clauses : 5322
% 0.23/2.42 # ...of these trivial : 35
% 0.23/2.42 # ...subsumed : 2485
% 0.23/2.42 # ...remaining for further processing : 2802
% 0.23/2.42 # Other redundant clauses eliminated : 2
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 229
% 0.23/2.42 # Backward-rewritten : 133
% 0.23/2.42 # Generated clauses : 9734
% 0.23/2.42 # ...of the previous two non-trivial : 9195
% 0.23/2.42 # Contextual simplify-reflections : 2251
% 0.23/2.42 # Paramodulations : 9586
% 0.23/2.42 # Factorizations : 0
% 0.23/2.42 # Equation resolutions : 80
% 0.23/2.42 # Current number of processed clauses : 2390
% 0.23/2.42 # Positive orientable unit clauses : 143
% 0.23/2.42 # Positive unorientable unit clauses: 0
% 0.23/2.42 # Negative unit clauses : 24
% 0.23/2.42 # Non-unit-clauses : 2223
% 0.23/2.42 # Current number of unprocessed clauses: 4024
% 0.23/2.42 # ...number of literals in the above : 34353
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 362
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 5524968
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 714570
% 0.23/2.42 # Non-unit clause-clause subsumptions : 5110
% 0.23/2.42 # Unit Clause-clause subsumption calls : 26686
% 0.23/2.42 # Rewrite failures with RHS unbound : 0
% 0.23/2.42 # BW rewrite match attempts : 13
% 0.23/2.42 # BW rewrite match successes : 11
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 334619
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.461 s
% 0.23/2.42 # System time : 0.008 s
% 0.23/2.42 # Total time : 1.469 s
% 0.23/2.42 # Maximum resident set size: 15084 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------