%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:54 PM UTC 2026
% Result : Theorem 1.51s 0.63s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 104 ( 12 unt; 0 def)
% Number of atoms : 661 ( 18 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 853 ( 296 ~; 324 |; 163 &)
% ( 9 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t59_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(t59_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v1_filter_0(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(l70_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l70_filter_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t59_filter_2]) ).
fof(c_0_19,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_20,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_21,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_25,plain,
! [X51,X52] :
( m1_subset_1(X52,k1_zfmisc_1(u1_struct_0(X51)))
| ~ m2_lattice4(X52,X51)
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_26,plain,
! [X49,X50] :
( ( ~ l3_lattices(X49)
| ~ v10_lattices(X49)
| v3_struct_0(X49)
| ~ m2_filter_2(X50,X49)
| m2_lattice4(X50,X49) )
& ( ~ l3_lattices(X49)
| ~ v10_lattices(X49)
| v3_struct_0(X49)
| ~ m2_filter_2(X50,X49)
| ~ v1_xboole_0(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_27,plain,
! [X135,X136] :
( ( ~ l3_lattices(X135)
| ~ v10_lattices(X135)
| v3_struct_0(X135)
| ~ m2_filter_2(X136,X135)
| r2_filter_2(X135,X136)
| ~ v1_filter_0(k15_filter_2(X135,X136),k1_lattice2(X135)) )
& ( ~ l3_lattices(X135)
| ~ v10_lattices(X135)
| v3_struct_0(X135)
| ~ m2_filter_2(X136,X135)
| v1_filter_0(k15_filter_2(X135,X136),k1_lattice2(X135))
| ~ r2_filter_2(X135,X136) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).
fof(c_0_28,negated_conjecture,
( ( ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0)
| r2_hidden(esk3_0,esk2_0) )
& ( r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0)
| ~ r2_hidden(esk3_0,esk2_0) )
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& r2_filter_2(esk1_0,esk2_0)
& m2_filter_2(esk2_0,esk1_0)
& l3_lattices(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_29,plain,
! [X28,X29] :
( k7_filter_2(X28,X29) = X29
| ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(X28)))
| ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_30,plain,
! [X123,X124] :
( k15_filter_2(X123,X124) = k7_filter_2(X123,X124)
| ~ m2_filter_2(X124,X123)
| ~ l3_lattices(X123)
| ~ v10_lattices(X123)
| v3_struct_0(X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_31,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_34,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_filter_2]) ).
fof(c_0_35,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_36,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_37,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v1_filter_0(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t59_filter_0]) ).
cnf(c_0_38,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_47,plain,
! [X125,X126] :
( ( ~ l3_lattices(X125)
| ~ v10_lattices(X125)
| v3_struct_0(X125)
| m1_filter_2(X126,X125)
| ~ m1_filter_0(X126,X125) )
& ( ~ l3_lattices(X125)
| ~ v10_lattices(X125)
| v3_struct_0(X125)
| m1_filter_0(X126,X125)
| ~ m1_filter_2(X126,X125) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
fof(c_0_48,plain,
! [X33,X34] :
( m1_filter_2(k15_filter_2(X33,X34),k1_lattice2(X33))
| ~ m2_filter_2(X34,X33)
| ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_49,plain,
! [X93] :
( ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v10_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v9_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v8_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v7_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v6_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v5_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v4_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| v3_lattices(k1_lattice2(X93)) )
& ( ~ l3_lattices(X93)
| ~ v10_lattices(X93)
| v3_struct_0(X93)
| ~ v3_struct_0(k1_lattice2(X93)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_50,plain,
! [X35] :
( ( ~ l3_lattices(X35)
| l3_lattices(k1_lattice2(X35)) )
& ( ~ l3_lattices(X35)
| v3_lattices(k1_lattice2(X35)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_51,plain,
! [X80] :
( ( ~ l3_lattices(X80)
| v3_struct_0(X80)
| v3_lattices(k1_lattice2(X80)) )
& ( ~ l3_lattices(X80)
| v3_struct_0(X80)
| ~ v3_struct_0(k1_lattice2(X80)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_52,plain,
! [X142,X143,X144] :
( ( ~ l3_lattices(X142)
| ~ v17_lattices(X142)
| ~ v10_lattices(X142)
| v3_struct_0(X142)
| ~ m1_filter_0(X143,X142)
| ~ v1_filter_0(X143,X142)
| ~ m1_subset_1(X144,u1_struct_0(X142))
| r2_hidden(X144,X143)
| r2_hidden(k7_lattices(X142,X144),X143) )
& ( ~ l3_lattices(X142)
| ~ v17_lattices(X142)
| ~ v10_lattices(X142)
| v3_struct_0(X142)
| ~ m1_filter_0(X143,X142)
| ~ v1_filter_0(X143,X142)
| ~ m1_subset_1(X144,u1_struct_0(X142))
| ~ r2_hidden(k7_lattices(X142,X144),X143)
| ~ r2_hidden(X144,X143) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
cnf(c_0_53,negated_conjecture,
v1_filter_0(k15_filter_2(esk1_0,esk2_0),k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_54,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| v3_struct_0(X1)
| k15_filter_2(X1,X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_55,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ v1_filter_0(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,negated_conjecture,
v1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_62,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| v3_struct_0(X1)
| m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
fof(c_0_63,plain,
! [X131,X132] :
( m1_subset_1(X131,X132)
| ~ r2_hidden(X131,X132) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_64,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(X1,esk2_0)
| r2_hidden(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,k1_lattice2(X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_66,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(X1,esk2_0)
| r2_hidden(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_68,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
cnf(c_0_69,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_70,plain,
! [X88] :
( ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v17_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v16_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v15_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v14_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v13_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v12_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v11_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v10_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v9_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v8_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v7_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v6_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v5_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v4_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| v3_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| ~ v17_lattices(X88)
| ~ v10_lattices(X88)
| v3_struct_0(X88)
| ~ v3_struct_0(k1_lattice2(X88)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
fof(c_0_71,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_72,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_73,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[l70_filter_2]) ).
cnf(c_0_74,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_58]),c_0_41])]) ).
cnf(c_0_75,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_77,plain,
! [X36,X37] :
( m1_subset_1(k5_filter_2(X36,X37),u1_struct_0(k1_lattice2(X36)))
| ~ m1_subset_1(X37,u1_struct_0(X36))
| ~ l3_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_78,plain,
! [X26,X27] :
( k5_filter_2(X26,X27) = X27
| ~ m1_subset_1(X27,u1_struct_0(X26))
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).
fof(c_0_79,plain,
! [X100,X101] :
( k7_lattices(k1_lattice2(X100),k5_filter_2(X100,X101)) = k7_lattices(X100,X101)
| ~ m1_subset_1(X101,u1_struct_0(X100))
| ~ l3_lattices(X100)
| ~ v17_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
cnf(c_0_80,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_41]),c_0_76]),c_0_42])]),c_0_43]) ).
cnf(c_0_81,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_82,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_57]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_85,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(k1_lattice2(X2))) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_86,plain,
! [X133,X134] :
( r2_hidden(X133,X134)
| v1_xboole_0(X134)
| ~ m1_subset_1(X133,X134) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_87,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_88,plain,
( ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ m1_filter_0(X2,X3)
| ~ v1_filter_0(X2,X3)
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(k7_lattices(X3,X1),X2)
| ~ r2_hidden(X1,X2)
| v3_struct_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_89,plain,
( ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| k7_lattices(k1_lattice2(X1),X2) = k7_lattices(X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_92,negated_conjecture,
( ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0)
| r2_hidden(esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_93,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_95,plain,
( ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(k7_lattices(X1,X3),X2)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v1_filter_0(X2,k1_lattice2(X1))
| v3_struct_0(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_88,c_0_89]),c_0_57]),c_0_75]),c_0_58]),c_0_85]),c_0_59]) ).
cnf(c_0_96,negated_conjecture,
( ~ r2_hidden(esk3_0,esk2_0)
| r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_97,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k7_lattices(k1_lattice2(esk1_0),esk3_0),esk2_0)
| r2_hidden(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( ~ m1_subset_1(k7_lattices(esk1_0,esk3_0),esk2_0)
| r2_hidden(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( ~ r2_hidden(esk3_0,esk2_0)
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_61]),c_0_91]),c_0_41]),c_0_76]),c_0_42])]),c_0_43]) ).
cnf(c_0_100,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk3_0,esk2_0) ),
inference(csr,[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(spm,[status(thm)],[c_0_97,c_0_89]),c_0_91]),c_0_41]),c_0_76]),c_0_42])]),c_0_43]),c_0_98]) ).
cnf(c_0_101,negated_conjecture,
( ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_65]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_102]),c_0_41])]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:39:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.51/0.63 % Version: 3.5.1
% 1.51/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.63 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.63 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.63 % Starting sh5l with 300s (1) cores
% 1.51/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 455326 completed with status 0
% 1.51/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.51/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.63 % No SInE strategy applied
% 1.51/0.63 % Search class: FGHSM-FSLM31-MFFFFFNN
% 1.51/0.63 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.63 % Starting SubtermCWHack with 136s (1) cores
% 1.51/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.51/0.63 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 1.51/0.63 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 1.51/0.63 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.51/0.63 % G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 455340 completed with status 0
% 1.51/0.63 % Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 1.51/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.63 % No SInE strategy applied
% 1.51/0.63 % Search class: FGHSM-FSLM31-MFFFFFNN
% 1.51/0.63 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.63 % Starting SubtermCWHack with 136s (1) cores
% 1.51/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.51/0.63 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 1.51/0.63 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 1.51/0.63 % Preprocessing time : 0.004 s
% 1.51/0.63 % Presaturation interreduction done
% 1.51/0.63
% 1.51/0.63 % Proof found!
% 1.51/0.63 % SZS status Theorem
% 1.51/0.63 % SZS output start CNFRefutation
% See solution above
% 1.51/0.63 % Parsed axioms : 96
% 1.51/0.63 % Removed by relevancy pruning/SinE : 0
% 1.51/0.63 % Initial clauses : 263
% 1.51/0.63 % Removed in clause preprocessing : 17
% 1.51/0.63 % Initial clauses in saturation : 246
% 1.51/0.63 % Processed clauses : 1529
% 1.51/0.63 % ...of these trivial : 0
% 1.51/0.63 % ...subsumed : 545
% 1.51/0.63 % ...remaining for further processing : 984
% 1.51/0.63 % Other redundant clauses eliminated : 6
% 1.51/0.63 % Clauses deleted for lack of memory : 0
% 1.51/0.63 % Backward-subsumed : 70
% 1.51/0.63 % Backward-rewritten : 182
% 1.51/0.63 % Generated clauses : 2632
% 1.51/0.63 % ...of the previous two non-redundant : 2428
% 1.51/0.63 % ...aggressively subsumed : 0
% 1.51/0.63 % Contextual simplify-reflections : 70
% 1.51/0.63 % Paramodulations : 2617
% 1.51/0.63 % Factorizations : 0
% 1.51/0.63 % NegExts : 0
% 1.51/0.63 % Equation resolutions : 15
% 1.51/0.63 % Disequality decompositions : 0
% 1.51/0.63 % Total rewrite steps : 935
% 1.51/0.63 % ...of those cached : 858
% 1.51/0.63 % Propositional unsat checks : 0
% 1.51/0.63 % Propositional check models : 0
% 1.51/0.63 % Propositional check unsatisfiable : 0
% 1.51/0.63 % Propositional clauses : 0
% 1.51/0.63 % Propositional clauses after purity: 0
% 1.51/0.63 % Propositional unsat core size : 0
% 1.51/0.63 % Propositional preprocessing time : 0.000
% 1.51/0.63 % Propositional encoding time : 0.000
% 1.51/0.63 % Propositional solver time : 0.000
% 1.51/0.63 % Success case prop preproc time : 0.000
% 1.51/0.63 % Success case prop encoding time : 0.000
% 1.51/0.63 % Success case prop solver time : 0.000
% 1.51/0.63 % Current number of processed clauses : 513
% 1.51/0.63 % Positive orientable unit clauses : 118
% 1.51/0.63 % Positive unorientable unit clauses: 0
% 1.51/0.63 % Negative unit clauses : 16
% 1.51/0.63 % Non-unit-clauses : 379
% 1.51/0.63 % Current number of unprocessed clauses: 1281
% 1.51/0.63 % ...number of literals in the above : 6204
% 1.51/0.63 % Current number of archived formulas : 0
% 1.51/0.63 % Current number of archived clauses : 471
% 1.51/0.63 % Clause-clause subsumption calls (NU) : 104499
% 1.51/0.63 % Rec. Clause-clause subsumption calls : 22868
% 1.51/0.63 % Non-unit clause-clause subsumptions : 654
% 1.51/0.63 % Unit Clause-clause subsumption calls : 1730
% 1.51/0.63 % Rewrite failures with RHS unbound : 0
% 1.51/0.63 % BW rewrite match attempts : 29
% 1.51/0.63 % BW rewrite match successes : 4
% 1.51/0.63 % Condensation attempts : 0
% 1.51/0.63 % Condensation successes : 0
% 1.51/0.63 % Termbank termtop insertions : 78627
% 1.51/0.63 % Search garbage collected termcells : 2347
% 1.51/0.63
% 1.51/0.63 % -------------------------------------------------
% 1.51/0.63 % User time : 0.192 s
% 1.51/0.63 % System time : 0.009 s
% 1.51/0.63 % Total time : 0.201 s
% 1.51/0.63 % Maximum resident set size: 4248 pages
% 1.51/0.63
% 1.51/0.63 % -------------------------------------------------
% 1.51/0.63 % User time : 0.863 s
% 1.51/0.63 % System time : 0.051 s
% 1.51/0.63 % Total time : 0.914 s
% 1.51/0.63 % Maximum resident set size: 4864 pages
% 1.51/0.63 % E exiting
%------------------------------------------------------------------------------