TSTP Solution File: LAT317+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT317+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 04:46:59 EDT 2022
% Result : Theorem 0.31s 12.51s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 24
% Syntax : Number of formulae : 118 ( 21 unt; 0 def)
% Number of atoms : 567 ( 29 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 744 ( 295 ~; 327 |; 84 &)
% ( 5 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 174 ( 11 sgn 88 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc2_subset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_xboole_0) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k15_filter_2) ).
fof(dt_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_filter_2) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k15_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_lattice2) ).
fof(t45_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
& k20_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k5_filter_0(X1,X2,X3)
& k20_filter_2(k1_lattice2(X1),X4,X5) = k5_filter_0(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5))
& k20_filter_2(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5)) = k5_filter_0(k1_lattice2(X1),X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t45_filter_2) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_subset_1) ).
fof(existence_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m2_filter_2) ).
fof(t51_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,k20_filter_2(X1,X2,X3))
& r1_tarski(X3,k20_filter_2(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t51_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d6_filter_2) ).
fof(t49_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r1_tarski(X2,k5_filter_0(X1,X2,X3))
& r1_tarski(X3,k5_filter_0(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t49_filter_0) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m1_filter_2) ).
fof(c_0_22,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_23,plain,
! [X3] :
( m1_subset_1(esk26_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk26_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_24,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
v1_xboole_0(esk26_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_27,plain,
m1_subset_1(esk26_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
esk26_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
( ~ epred1_0
<=> ! [X1] : ~ v1_xboole_0(X1) ),
introduced(definition) ).
fof(c_0_30,plain,
( ~ epred2_0
<=> ! [X2] : ~ r2_hidden(X2,k1_xboole_0) ),
introduced(definition) ).
cnf(c_0_31,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( epred1_0
| ~ v1_xboole_0(X1) ),
inference(split_equiv,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_35,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29]),c_0_30]) ).
cnf(c_0_36,plain,
epred1_0,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_37,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
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)],[dt_m2_lattice4])])])])])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(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)],[dt_m2_filter_2])])])])])])]) ).
fof(c_0_39,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_40,plain,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
fof(c_0_41,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk34_2(X4,X5),X4)
| ~ r2_hidden(esk34_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk34_2(X4,X5),X4)
| r2_hidden(esk34_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])]) ).
fof(c_0_42,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k7_filter_2(X3,X4),k1_zfmisc_1(u1_struct_0(k1_lattice2(X3)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_filter_2])])]) ).
fof(c_0_43,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| k15_filter_2(X3,X4) = k7_filter_2(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2])])]) ).
cnf(c_0_44,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_40]) ).
cnf(c_0_48,plain,
( X1 = X2
| r2_hidden(esk34_2(X1,X2),X2)
| r2_hidden(esk34_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(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)],[dt_m1_filter_2])])])])])])]) ).
fof(c_0_53,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| m1_filter_2(k15_filter_2(X3,X4),k1_lattice2(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k15_filter_2])])]) ).
fof(c_0_54,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).
fof(c_0_55,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_56,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).
cnf(c_0_57,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ r1_tarski(X3,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
cnf(c_0_58,plain,
( X1 = k1_xboole_0
| r2_hidden(esk34_2(X1,k1_xboole_0),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_60,plain,
( m1_subset_1(k15_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X2)
| ~ r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( r1_tarski(k15_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_68,plain,
! [X6,X7,X8,X9,X10] :
( ( k20_filter_2(X6,X7,X8) = k5_filter_0(k1_lattice2(X6),k7_filter_2(X6,X7),k7_filter_2(X6,X8))
| v1_xboole_0(X10)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X9)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| v1_xboole_0(X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( k20_filter_2(k1_lattice2(X6),k7_filter_2(X6,X7),k7_filter_2(X6,X8)) = k5_filter_0(X6,X7,X8)
| v1_xboole_0(X10)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X9)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| v1_xboole_0(X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( k20_filter_2(k1_lattice2(X6),X9,X10) = k5_filter_0(X6,k8_filter_2(X6,X9),k8_filter_2(X6,X10))
| v1_xboole_0(X10)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X9)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| v1_xboole_0(X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( k20_filter_2(X6,k8_filter_2(X6,X9),k8_filter_2(X6,X10)) = k5_filter_0(k1_lattice2(X6),X9,X10)
| v1_xboole_0(X10)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X9)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(k1_lattice2(X6))))
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| v1_xboole_0(X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) ) ),
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)],[t45_filter_2])])])])])])]) ).
fof(c_0_69,plain,
! [X3] :
( ( m1_subset_1(esk22_1(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
& ( ~ v1_xboole_0(esk22_1(X3))
| v1_xboole_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[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)],[rc1_subset_1])])])])])])]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k15_filter_2(X1,X2))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_71,plain,
( k15_filter_2(X1,X2) = k1_xboole_0
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_72,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_filter_2(esk12_1(X3),X3) ),
inference(skolemize,[status(esa)],[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)],[existence_m2_filter_2])])])])])]) ).
fof(c_0_73,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,k20_filter_2(X1,X2,X3))
& r1_tarski(X3,k20_filter_2(X1,X2,X3)) ) ) ) ),
inference(assume_negation,[status(cth)],[t51_filter_2]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk22_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_34])]) ).
cnf(c_0_78,plain,
( m2_filter_2(esk12_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_79,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& m2_filter_2(esk3_0,esk1_0)
& ( ~ r1_tarski(esk2_0,k20_filter_2(esk1_0,esk2_0,esk3_0))
| ~ r1_tarski(esk3_0,k20_filter_2(esk1_0,esk2_0,esk3_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)],[inference(fof_simplification,[status(thm)],[c_0_73])])])])])]) ).
cnf(c_0_80,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_83,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_85,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_87,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( ~ r1_tarski(esk3_0,k20_filter_2(esk1_0,esk2_0,esk3_0))
| ~ r1_tarski(esk2_0,k20_filter_2(esk1_0,esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_76]),c_0_81]) ).
cnf(c_0_90,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_82,c_0_83]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_87]),c_0_84]),c_0_85])]),c_0_86]) ).
fof(c_0_92,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = 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)],[inference(fof_simplification,[status(thm)],[d6_filter_2])])])])])]) ).
cnf(c_0_93,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),k7_filter_2(esk1_0,esk3_0)))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),k7_filter_2(esk1_0,esk3_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_84]),c_0_85])]),c_0_90]),c_0_91]),c_0_86]) ).
cnf(c_0_94,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),esk3_0))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_84]),c_0_85])]),c_0_86]) ).
fof(c_0_96,plain,
! [X4,X5,X6] :
( ( r1_tarski(X5,k5_filter_0(X4,X5,X6))
| ~ m1_filter_0(X6,X4)
| ~ m1_filter_0(X5,X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( r1_tarski(X6,k5_filter_0(X4,X5,X6))
| ~ m1_filter_0(X6,X4)
| ~ m1_filter_0(X5,X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
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)],[t49_filter_0])])])])])])]) ).
cnf(c_0_97,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_94]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_98,plain,
( v3_struct_0(X1)
| r1_tarski(X3,k5_filter_0(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_filter_0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_99,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_63]),c_0_84]),c_0_85])]) ).
cnf(c_0_100,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk3_0,k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_101,plain,
( v3_struct_0(X1)
| r1_tarski(X2,k5_filter_0(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_filter_0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_102,plain,
! [X3,X4,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(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)],[redefinition_m1_filter_2])])])])])])]) ).
cnf(c_0_103,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk3_0,k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_99])]) ).
cnf(c_0_104,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_filter_2(esk3_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_99])]) ).
cnf(c_0_106,plain,
( k15_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_2(esk3_0,k1_lattice2(esk1_0))
| ~ m1_filter_2(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_99])]) ).
cnf(c_0_108,plain,
( m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_106]),c_0_51]) ).
cnf(c_0_109,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_2(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(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_107,c_0_108]),c_0_87]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_110,plain,
( r1_tarski(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_111,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(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_109,c_0_108]),c_0_83]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_112,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_87]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_113,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_46]),c_0_112])]) ).
cnf(c_0_114,negated_conjecture,
r1_tarski(esk2_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_83]),c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_115,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_46]),c_0_114])]) ).
cnf(c_0_116,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_115]),c_0_84])]),c_0_86]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_64]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT317+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 10:09:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.31/12.51 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.31/12.51 # Preprocessing time : 0.027 s
% 0.31/12.51
% 0.31/12.51 # Proof found!
% 0.31/12.51 # SZS status Theorem
% 0.31/12.51 # SZS output start CNFRefutation
% See solution above
% 0.31/12.51 # Proof object total steps : 118
% 0.31/12.51 # Proof object clause steps : 72
% 0.31/12.51 # Proof object formula steps : 46
% 0.31/12.51 # Proof object conjectures : 27
% 0.31/12.51 # Proof object clause conjectures : 24
% 0.31/12.51 # Proof object formula conjectures : 3
% 0.31/12.51 # Proof object initial clauses used : 33
% 0.31/12.51 # Proof object initial formulas used : 22
% 0.31/12.51 # Proof object generating inferences : 36
% 0.31/12.51 # Proof object simplifying inferences : 76
% 0.31/12.51 # Training examples: 0 positive, 0 negative
% 0.31/12.51 # Parsed axioms : 120
% 0.31/12.51 # Removed by relevancy pruning/SinE : 0
% 0.31/12.51 # Initial clauses : 216
% 0.31/12.51 # Removed in clause preprocessing : 17
% 0.31/12.51 # Initial clauses in saturation : 199
% 0.31/12.51 # Processed clauses : 11673
% 0.31/12.51 # ...of these trivial : 22
% 0.31/12.51 # ...subsumed : 7413
% 0.31/12.51 # ...remaining for further processing : 4238
% 0.31/12.51 # Other redundant clauses eliminated : 2
% 0.31/12.51 # Clauses deleted for lack of memory : 223272
% 0.31/12.51 # Backward-subsumed : 235
% 0.31/12.51 # Backward-rewritten : 18
% 0.31/12.51 # Generated clauses : 350992
% 0.31/12.51 # ...of the previous two non-trivial : 333658
% 0.31/12.51 # Contextual simplify-reflections : 8913
% 0.31/12.51 # Paramodulations : 350825
% 0.31/12.51 # Factorizations : 78
% 0.31/12.51 # Equation resolutions : 51
% 0.31/12.51 # Current number of processed clauses : 3969
% 0.31/12.51 # Positive orientable unit clauses : 185
% 0.31/12.51 # Positive unorientable unit clauses: 1
% 0.31/12.51 # Negative unit clauses : 43
% 0.31/12.51 # Non-unit-clauses : 3740
% 0.31/12.51 # Current number of unprocessed clauses: 73624
% 0.31/12.51 # ...number of literals in the above : 549723
% 0.31/12.51 # Current number of archived formulas : 0
% 0.31/12.51 # Current number of archived clauses : 254
% 0.31/12.51 # Clause-clause subsumption calls (NU) : 25162638
% 0.31/12.51 # Rec. Clause-clause subsumption calls : 1263619
% 0.31/12.51 # Non-unit clause-clause subsumptions : 15855
% 0.31/12.51 # Unit Clause-clause subsumption calls : 37939
% 0.31/12.51 # Rewrite failures with RHS unbound : 0
% 0.31/12.51 # BW rewrite match attempts : 2888
% 0.31/12.51 # BW rewrite match successes : 10
% 0.31/12.51 # Condensation attempts : 0
% 0.31/12.51 # Condensation successes : 0
% 0.31/12.51 # Termbank termtop insertions : 16008881
% 0.31/12.51
% 0.31/12.51 # -------------------------------------------------
% 0.31/12.51 # User time : 11.717 s
% 0.31/12.51 # System time : 0.111 s
% 0.31/12.51 # Total time : 11.828 s
% 0.31/12.51 # Maximum resident set size: 141032 pages
% 0.34/23.43 eprover: CPU time limit exceeded, terminating
% 0.34/23.44 eprover: CPU time limit exceeded, terminating
% 0.34/23.44 eprover: CPU time limit exceeded, terminating
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49 eprover: No such file or directory
% 0.34/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.50 eprover: No such file or directory
% 0.34/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.50 eprover: No such file or directory
% 0.34/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.50 eprover: No such file or directory
% 0.34/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.50 eprover: No such file or directory
% 0.34/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------