TSTP Solution File: LAT352+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:52 EDT 2023
% Result : Theorem 19.55s 2.99s
% Output : CNFRefutation 19.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 76 ( 25 unt; 0 def)
% Number of atoms : 676 ( 18 equ)
% Maximal formula atoms : 75 ( 8 avg)
% Number of connectives : 1006 ( 406 ~; 408 |; 145 &)
% ( 6 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 134 ( 0 sgn; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d6_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_waybel_1(X1,X2,X3)
<=> ( r2_yellow_0(X1,X3)
& X2 = k2_yellow_0(X1,X3)
& r2_hidden(k2_yellow_0(X1,X3),X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',d6_waybel_1) ).
fof(t11_waybel_1,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] :
( ( 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)) )
=> ! [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)) )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> ( v5_orders_3(X3,X1,X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> r3_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X4,X5),k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',t11_waybel_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',fc1_struct_0) ).
fof(dt_k7_yellow_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,u1_struct_0(X2))
& m1_relset_1(X3,X1,u1_struct_0(X2))
& m1_subset_1(X4,X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',dt_k7_yellow_2) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',dt_l1_orders_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',redefinition_m2_relset_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/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',cc1_yellow_0) ).
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/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',d1_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',cc1_lattice3) ).
fof(t2_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] :
( ( 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)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4) = k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',t2_waybel34) ).
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/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p',dt_k1_waybel34) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_waybel_1(X1,X2,X3)
<=> ( r2_yellow_0(X1,X3)
& X2 = k2_yellow_0(X1,X3)
& r2_hidden(k2_yellow_0(X1,X3),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d6_waybel_1]) ).
fof(c_0_12,plain,
! [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] :
( ( 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)) )
=> ! [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)) )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> ( v5_orders_3(X3,X1,X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> r3_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X4,X5),k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X5))) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_waybel_1]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_14,plain,
! [X10,X11,X12] :
( ( r2_yellow_0(X10,X12)
| ~ r3_waybel_1(X10,X11,X12)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10) )
& ( X11 = k2_yellow_0(X10,X12)
| ~ r3_waybel_1(X10,X11,X12)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10) )
& ( r2_hidden(k2_yellow_0(X10,X12),X12)
| ~ r3_waybel_1(X10,X11,X12)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10) )
& ( ~ r2_yellow_0(X10,X12)
| X11 != k2_yellow_0(X10,X12)
| ~ r2_hidden(k2_yellow_0(X10,X12),X12)
| r3_waybel_1(X10,X11,X12)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_15,plain,
! [X23,X24,X25,X26,X27] :
( ( v5_orders_3(X25,X23,X24)
| ~ v3_waybel_1(k1_waybel_1(X23,X24,X25,X26),X23,X24)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ m2_relset_1(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ v1_funct_1(X25)
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ m2_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| v3_struct_0(X24)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ l1_orders_2(X24)
| v3_struct_0(X23)
| ~ v2_orders_2(X23)
| ~ v3_orders_2(X23)
| ~ v4_orders_2(X23)
| ~ l1_orders_2(X23) )
& ( ~ m1_subset_1(X27,u1_struct_0(X24))
| r3_waybel_1(X23,k7_yellow_2(u1_struct_0(X24),X23,X26,X27),k5_pre_topc(X23,X24,X25,k7_waybel_0(X24,X27)))
| ~ v3_waybel_1(k1_waybel_1(X23,X24,X25,X26),X23,X24)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ m2_relset_1(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ v1_funct_1(X25)
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ m2_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| v3_struct_0(X24)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ l1_orders_2(X24)
| v3_struct_0(X23)
| ~ v2_orders_2(X23)
| ~ v3_orders_2(X23)
| ~ v4_orders_2(X23)
| ~ l1_orders_2(X23) )
& ( m1_subset_1(esk5_4(X23,X24,X25,X26),u1_struct_0(X24))
| ~ v5_orders_3(X25,X23,X24)
| v3_waybel_1(k1_waybel_1(X23,X24,X25,X26),X23,X24)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ m2_relset_1(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ v1_funct_1(X25)
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ m2_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| v3_struct_0(X24)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ l1_orders_2(X24)
| v3_struct_0(X23)
| ~ v2_orders_2(X23)
| ~ v3_orders_2(X23)
| ~ v4_orders_2(X23)
| ~ l1_orders_2(X23) )
& ( ~ r3_waybel_1(X23,k7_yellow_2(u1_struct_0(X24),X23,X26,esk5_4(X23,X24,X25,X26)),k5_pre_topc(X23,X24,X25,k7_waybel_0(X24,esk5_4(X23,X24,X25,X26))))
| ~ v5_orders_3(X25,X23,X24)
| v3_waybel_1(k1_waybel_1(X23,X24,X25,X26),X23,X24)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ m2_relset_1(X26,u1_struct_0(X24),u1_struct_0(X23))
| ~ v1_funct_1(X25)
| ~ v1_funct_2(X25,u1_struct_0(X23),u1_struct_0(X24))
| ~ m2_relset_1(X25,u1_struct_0(X23),u1_struct_0(X24))
| v3_struct_0(X24)
| ~ v2_orders_2(X24)
| ~ v3_orders_2(X24)
| ~ v4_orders_2(X24)
| ~ l1_orders_2(X24)
| v3_struct_0(X23)
| ~ v2_orders_2(X23)
| ~ v3_orders_2(X23)
| ~ v4_orders_2(X23)
| ~ l1_orders_2(X23) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_16,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,u1_struct_0(X2))
& m1_relset_1(X3,X1,u1_struct_0(X2))
& m1_subset_1(X4,X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
inference(fof_simplification,[status(thm)],[dt_k7_yellow_2]) ).
fof(c_0_17,plain,
! [X55] :
( v3_struct_0(X55)
| ~ l1_struct_0(X55)
| ~ v1_xboole_0(u1_struct_0(X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_18,plain,
! [X107] :
( ~ l1_orders_2(X107)
| l1_struct_0(X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_19,plain,
( X1 = k2_yellow_0(X2,X3)
| v3_struct_0(X2)
| ~ r3_waybel_1(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( r3_waybel_1(X3,k7_yellow_2(u1_struct_0(X2),X3,X4,X1),k5_pre_topc(X3,X2,X5,k7_waybel_0(X2,X1)))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v3_waybel_1(k1_waybel_1(X3,X2,X5,X4),X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X37,X38,X39,X40] :
( v1_xboole_0(X37)
| v3_struct_0(X38)
| ~ l1_struct_0(X38)
| ~ v1_funct_1(X39)
| ~ v1_funct_2(X39,X37,u1_struct_0(X38))
| ~ m1_relset_1(X39,X37,u1_struct_0(X38))
| ~ m1_subset_1(X40,X37)
| m1_subset_1(k7_yellow_2(X37,X38,X39,X40),u1_struct_0(X38)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_22,plain,
! [X74,X75,X76] :
( ( ~ m2_relset_1(X76,X74,X75)
| m1_relset_1(X76,X74,X75) )
& ( ~ m1_relset_1(X76,X74,X75)
| m2_relset_1(X76,X74,X75) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
cnf(c_0_26,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X5,X3),X2,X1)
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(X1),X2,X3,X4),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(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_19,c_0_20]) ).
cnf(c_0_27,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,X1,u1_struct_0(X2))
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_30,plain,
! [X45,X46,X47,X48] :
( ( X48 != k1_waybel34(X45,X46,X47)
| v3_waybel_1(k1_waybel_1(X45,X46,X47,X48),X45,X46)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X46),u1_struct_0(X45))
| ~ m2_relset_1(X48,u1_struct_0(X46),u1_struct_0(X45))
| ~ v3_lattice3(X45)
| ~ v3_lattice3(X46)
| ~ v17_waybel_0(X47,X45,X46)
| ~ v1_funct_1(X47)
| ~ v1_funct_2(X47,u1_struct_0(X45),u1_struct_0(X46))
| ~ m2_relset_1(X47,u1_struct_0(X45),u1_struct_0(X46))
| ~ v2_orders_2(X46)
| ~ v3_orders_2(X46)
| ~ v4_orders_2(X46)
| ~ v1_lattice3(X46)
| ~ v2_lattice3(X46)
| ~ l1_orders_2(X46)
| ~ v2_orders_2(X45)
| ~ v3_orders_2(X45)
| ~ v4_orders_2(X45)
| ~ v1_lattice3(X45)
| ~ v2_lattice3(X45)
| ~ l1_orders_2(X45) )
& ( ~ v3_waybel_1(k1_waybel_1(X45,X46,X47,X48),X45,X46)
| X48 = k1_waybel34(X45,X46,X47)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X46),u1_struct_0(X45))
| ~ m2_relset_1(X48,u1_struct_0(X46),u1_struct_0(X45))
| ~ v3_lattice3(X45)
| ~ v3_lattice3(X46)
| ~ v17_waybel_0(X47,X45,X46)
| ~ v1_funct_1(X47)
| ~ v1_funct_2(X47,u1_struct_0(X45),u1_struct_0(X46))
| ~ m2_relset_1(X47,u1_struct_0(X45),u1_struct_0(X46))
| ~ v2_orders_2(X46)
| ~ v3_orders_2(X46)
| ~ v4_orders_2(X46)
| ~ v1_lattice3(X46)
| ~ v2_lattice3(X46)
| ~ l1_orders_2(X46)
| ~ v2_orders_2(X45)
| ~ v3_orders_2(X45)
| ~ v4_orders_2(X45)
| ~ v1_lattice3(X45)
| ~ v2_lattice3(X45)
| ~ l1_orders_2(X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
fof(c_0_31,plain,
! [X105] :
( ( ~ v3_struct_0(X105)
| v3_struct_0(X105)
| ~ v3_lattice3(X105)
| ~ l1_orders_2(X105) )
& ( v1_lattice3(X105)
| v3_struct_0(X105)
| ~ v3_lattice3(X105)
| ~ l1_orders_2(X105) )
& ( v2_lattice3(X105)
| v3_struct_0(X105)
| ~ v3_lattice3(X105)
| ~ l1_orders_2(X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_32,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_33,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] :
( ( 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)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4) = k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) ) ) ) ),
inference(assume_negation,[status(cth)],[t2_waybel34]) ).
cnf(c_0_34,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X5,X3),X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_24]),c_0_29]) ).
cnf(c_0_35,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3)
| X1 != k1_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X104] :
( ~ l1_orders_2(X104)
| ~ v1_lattice3(X104)
| ~ v3_struct_0(X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_39,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)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v17_waybel_0(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& k7_yellow_2(u1_struct_0(esk2_0),esk1_0,k1_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k2_yellow_0(esk1_0,k5_pre_topc(esk1_0,esk2_0,esk3_0,k7_waybel_0(esk2_0,esk4_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_40,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_waybel34(X2,X1,X5)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v17_waybel_0(X5,X2,X1)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ 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(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_34,c_0_35]),c_0_36]),c_0_36]),c_0_37]),c_0_37]),c_0_28]) ).
cnf(c_0_41,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_46,plain,
! [X49,X50,X51] :
( ( v1_funct_1(k1_waybel34(X49,X50,X51))
| ~ v2_orders_2(X49)
| ~ v3_orders_2(X49)
| ~ v4_orders_2(X49)
| ~ v1_lattice3(X49)
| ~ v2_lattice3(X49)
| ~ l1_orders_2(X49)
| ~ v2_orders_2(X50)
| ~ v3_orders_2(X50)
| ~ v4_orders_2(X50)
| ~ v1_lattice3(X50)
| ~ v2_lattice3(X50)
| ~ l1_orders_2(X50)
| ~ v1_funct_1(X51)
| ~ v1_funct_2(X51,u1_struct_0(X49),u1_struct_0(X50))
| ~ m1_relset_1(X51,u1_struct_0(X49),u1_struct_0(X50)) )
& ( v1_funct_2(k1_waybel34(X49,X50,X51),u1_struct_0(X50),u1_struct_0(X49))
| ~ v2_orders_2(X49)
| ~ v3_orders_2(X49)
| ~ v4_orders_2(X49)
| ~ v1_lattice3(X49)
| ~ v2_lattice3(X49)
| ~ l1_orders_2(X49)
| ~ v2_orders_2(X50)
| ~ v3_orders_2(X50)
| ~ v4_orders_2(X50)
| ~ v1_lattice3(X50)
| ~ v2_lattice3(X50)
| ~ l1_orders_2(X50)
| ~ v1_funct_1(X51)
| ~ v1_funct_2(X51,u1_struct_0(X49),u1_struct_0(X50))
| ~ m1_relset_1(X51,u1_struct_0(X49),u1_struct_0(X50)) )
& ( m2_relset_1(k1_waybel34(X49,X50,X51),u1_struct_0(X50),u1_struct_0(X49))
| ~ v2_orders_2(X49)
| ~ v3_orders_2(X49)
| ~ v4_orders_2(X49)
| ~ v1_lattice3(X49)
| ~ v2_lattice3(X49)
| ~ l1_orders_2(X49)
| ~ v2_orders_2(X50)
| ~ v3_orders_2(X50)
| ~ v4_orders_2(X50)
| ~ v1_lattice3(X50)
| ~ v2_lattice3(X50)
| ~ l1_orders_2(X50)
| ~ v1_funct_1(X51)
| ~ v1_funct_2(X51,u1_struct_0(X49),u1_struct_0(X50))
| ~ m1_relset_1(X51,u1_struct_0(X49),u1_struct_0(X50)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel34])])]) ).
cnf(c_0_47,negated_conjecture,
k7_yellow_2(u1_struct_0(esk2_0),esk1_0,k1_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k2_yellow_0(esk1_0,k5_pre_topc(esk1_0,esk2_0,esk3_0,k7_waybel_0(esk2_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) = k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
v17_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_56,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_60,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_63,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_44]),c_0_45])]) ).
cnf(c_0_64,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_65,plain,
( m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,negated_conjecture,
( ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_0)) ),
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(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_43]),c_0_45]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61])]),c_0_62]),c_0_63]) ).
cnf(c_0_67,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_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_64,c_0_50]) ).
cnf(c_0_69,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_70,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_71,negated_conjecture,
( ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_66,c_0_67]),c_0_68]),c_0_52]),c_0_53]),c_0_45]),c_0_43]),c_0_69]),c_0_70]),c_0_44]),c_0_42]),c_0_57]),c_0_56]),c_0_59]),c_0_58]),c_0_61]),c_0_60])]) ).
cnf(c_0_72,plain,
( v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73,negated_conjecture,
~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_71,c_0_72]),c_0_68]),c_0_52]),c_0_53]),c_0_45]),c_0_43]),c_0_69]),c_0_70]),c_0_44]),c_0_42]),c_0_57]),c_0_56]),c_0_59]),c_0_58]),c_0_61]),c_0_60])]) ).
cnf(c_0_74,plain,
( v1_funct_1(k1_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75,negated_conjecture,
$false,
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_73,c_0_74]),c_0_68]),c_0_52]),c_0_53]),c_0_45]),c_0_43]),c_0_69]),c_0_70]),c_0_44]),c_0_42]),c_0_57]),c_0_56]),c_0_59]),c_0_58]),c_0_61]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 11:37:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.uOEUGPtJVj/E---3.1_24720.p
% 19.55/2.99 # Version: 3.1pre001
% 19.55/2.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.55/2.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.55/2.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.55/2.99 # Starting new_bool_3 with 300s (1) cores
% 19.55/2.99 # Starting new_bool_1 with 300s (1) cores
% 19.55/2.99 # Starting sh5l with 300s (1) cores
% 19.55/2.99 # sh5l with pid 24806 completed with status 0
% 19.55/2.99 # Result found by sh5l
% 19.55/2.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.55/2.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.55/2.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.55/2.99 # Starting new_bool_3 with 300s (1) cores
% 19.55/2.99 # Starting new_bool_1 with 300s (1) cores
% 19.55/2.99 # Starting sh5l with 300s (1) cores
% 19.55/2.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 19.55/2.99 # Search class: FGHSM-FSLM32-MFFFFFNN
% 19.55/2.99 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 19.55/2.99 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 19.55/2.99 # G-E--_303_C18_F1_URBAN_S0Y with pid 24809 completed with status 0
% 19.55/2.99 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 19.55/2.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.55/2.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.55/2.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.55/2.99 # Starting new_bool_3 with 300s (1) cores
% 19.55/2.99 # Starting new_bool_1 with 300s (1) cores
% 19.55/2.99 # Starting sh5l with 300s (1) cores
% 19.55/2.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 19.55/2.99 # Search class: FGHSM-FSLM32-MFFFFFNN
% 19.55/2.99 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 19.55/2.99 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 19.55/2.99 # Preprocessing time : 0.012 s
% 19.55/2.99
% 19.55/2.99 # Proof found!
% 19.55/2.99 # SZS status Theorem
% 19.55/2.99 # SZS output start CNFRefutation
% See solution above
% 19.55/2.99 # Parsed axioms : 130
% 19.55/2.99 # Removed by relevancy pruning/SinE : 15
% 19.55/2.99 # Initial clauses : 325
% 19.55/2.99 # Removed in clause preprocessing : 40
% 19.55/2.99 # Initial clauses in saturation : 285
% 19.55/2.99 # Processed clauses : 7707
% 19.55/2.99 # ...of these trivial : 30
% 19.55/2.99 # ...subsumed : 3637
% 19.55/2.99 # ...remaining for further processing : 4040
% 19.55/2.99 # Other redundant clauses eliminated : 0
% 19.55/2.99 # Clauses deleted for lack of memory : 0
% 19.55/2.99 # Backward-subsumed : 76
% 19.55/2.99 # Backward-rewritten : 4
% 19.55/2.99 # Generated clauses : 21248
% 19.55/2.99 # ...of the previous two non-redundant : 20701
% 19.55/2.99 # ...aggressively subsumed : 0
% 19.55/2.99 # Contextual simplify-reflections : 926
% 19.55/2.99 # Paramodulations : 21246
% 19.55/2.99 # Factorizations : 0
% 19.55/2.99 # NegExts : 0
% 19.55/2.99 # Equation resolutions : 2
% 19.55/2.99 # Total rewrite steps : 3480
% 19.55/2.99 # Propositional unsat checks : 0
% 19.55/2.99 # Propositional check models : 0
% 19.55/2.99 # Propositional check unsatisfiable : 0
% 19.55/2.99 # Propositional clauses : 0
% 19.55/2.99 # Propositional clauses after purity: 0
% 19.55/2.99 # Propositional unsat core size : 0
% 19.55/2.99 # Propositional preprocessing time : 0.000
% 19.55/2.99 # Propositional encoding time : 0.000
% 19.55/2.99 # Propositional solver time : 0.000
% 19.55/2.99 # Success case prop preproc time : 0.000
% 19.55/2.99 # Success case prop encoding time : 0.000
% 19.55/2.99 # Success case prop solver time : 0.000
% 19.55/2.99 # Current number of processed clauses : 3960
% 19.55/2.99 # Positive orientable unit clauses : 80
% 19.55/2.99 # Positive unorientable unit clauses: 1
% 19.55/2.99 # Negative unit clauses : 13
% 19.55/2.99 # Non-unit-clauses : 3866
% 19.55/2.99 # Current number of unprocessed clauses: 12999
% 19.55/2.99 # ...number of literals in the above : 117460
% 19.55/2.99 # Current number of archived formulas : 0
% 19.55/2.99 # Current number of archived clauses : 80
% 19.55/2.99 # Clause-clause subsumption calls (NU) : 9620908
% 19.55/2.99 # Rec. Clause-clause subsumption calls : 1172749
% 19.55/2.99 # Non-unit clause-clause subsumptions : 4580
% 19.55/2.99 # Unit Clause-clause subsumption calls : 20093
% 19.55/2.99 # Rewrite failures with RHS unbound : 0
% 19.55/2.99 # BW rewrite match attempts : 10
% 19.55/2.99 # BW rewrite match successes : 4
% 19.55/2.99 # Condensation attempts : 0
% 19.55/2.99 # Condensation successes : 0
% 19.55/2.99 # Termbank termtop insertions : 727882
% 19.55/2.99
% 19.55/2.99 # -------------------------------------------------
% 19.55/2.99 # User time : 2.449 s
% 19.55/2.99 # System time : 0.017 s
% 19.55/2.99 # Total time : 2.465 s
% 19.55/2.99 # Maximum resident set size: 2920 pages
% 19.55/2.99
% 19.55/2.99 # -------------------------------------------------
% 19.55/2.99 # User time : 2.452 s
% 19.55/2.99 # System time : 0.020 s
% 19.55/2.99 # Total time : 2.472 s
% 19.55/2.99 # Maximum resident set size: 1840 pages
% 19.55/2.99 % E---3.1 exiting
%------------------------------------------------------------------------------