TSTP Solution File: LAT331+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT331+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:47:15 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 98 ( 26 unt; 0 def)
% Number of atoms : 512 ( 94 equ)
% Maximal formula atoms : 98 ( 5 avg)
% Number of connectives : 713 ( 299 ~; 320 |; 71 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 142 ( 22 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t68_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,X2)
=> ( ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
& X3 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t68_filter_2) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g3_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u2_lattices) ).
fof(d10_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m1_filter_2) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,X2)
=> ( ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
& X3 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t68_filter_2]) ).
fof(c_0_10,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X8 = X11
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X9 = X12
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
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)],[free_g3_lattices])])])])])]) ).
fof(c_0_11,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& v10_lattices(esk2_0)
& l3_lattices(esk2_0)
& m1_filter_2(esk3_0,esk1_0)
& m1_filter_2(esk4_0,esk2_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& esk3_0 = esk4_0
& k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])])])]) ).
fof(c_0_12,plain,
! [X2] :
( ( v1_funct_1(u1_lattices(X2))
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) )
& ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
fof(c_0_13,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_14,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
cnf(c_0_17,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( X1 = u1_struct_0(esk2_0)
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_26,plain,
! [X2] :
( ( v1_funct_1(u2_lattices(X2))
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) )
& ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
cnf(c_0_27,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_29,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24])]) ).
cnf(c_0_33,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_34,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24])]) ).
cnf(c_0_36,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_37,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24])]) ).
cnf(c_0_40,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_41,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( X1 = u2_lattices(esk2_0)
| g3_lattices(X2,X1,X3) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_43,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_24])]) ).
cnf(c_0_44,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_45,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_24])]) ).
cnf(c_0_47,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_24])]) ).
cnf(c_0_49,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_50,negated_conjecture,
m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_46]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_46]),c_0_47])]) ).
cnf(c_0_52,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_46]),c_0_47])]) ).
cnf(c_0_53,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_47])]) ).
cnf(c_0_54,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_24])]) ).
cnf(c_0_55,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| ~ v1_funct_1(u2_lattices(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_46]),c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_56,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_24])]) ).
cnf(c_0_57,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_47])]) ).
cnf(c_0_58,negated_conjecture,
( g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk1_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(er,[status(thm)],[c_0_57]) ).
fof(c_0_60,plain,
! [X6,X7,X8,X11,X12] :
( ( v1_funct_1(esk5_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk5_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk5_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_1(esk6_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk5_3(X6,X7,X8) = k1_realset1(u2_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk6_3(X6,X7,X8) = k1_realset1(u1_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( X8 = g3_lattices(X7,esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12)
| X8 = k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[d10_filter_0])])])])])])])]) ).
cnf(c_0_61,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_62,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(rw,[status(thm)],[c_0_58,c_0_46]) ).
cnf(c_0_63,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_47])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| X3 = g3_lattices(X2,esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk6_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_51]),c_0_53])]) ).
cnf(c_0_67,negated_conjecture,
v1_funct_1(u2_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_63]),c_0_47])]) ).
cnf(c_0_68,negated_conjecture,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_70,plain,
( g3_lattices(X1,esk5_3(X2,X1,X3),k1_realset1(u1_lattices(X2),X1)) = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| X3 != k8_filter_0(X2,X1)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk5_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( l3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_filter_0])])])]) ).
cnf(c_0_73,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| ~ v1_funct_1(u1_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]),c_0_68]),c_0_69])]) ).
cnf(c_0_74,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = X3
| v3_struct_0(X2)
| v3_struct_0(X3)
| X3 != k8_filter_0(X2,X1)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( v3_struct_0(X2)
| v10_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_76,plain,
( v3_struct_0(X2)
| l3_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
( v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k8_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_47])]) ).
cnf(c_0_79,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_80,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_81,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_82,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_83,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_84,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_85,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_86,negated_conjecture,
k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_87,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk1_0),X1),k1_realset1(u1_lattices(esk1_0),X1)) = k8_filter_0(esk2_0,X1)
| ~ m1_filter_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_79,c_0_80]),c_0_63]),c_0_47]),c_0_81])]),c_0_82]) ).
cnf(c_0_88,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_89,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_90,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_83]) ).
cnf(c_0_91,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_92,negated_conjecture,
m1_filter_2(esk3_0,esk2_0),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,negated_conjecture,
k8_filter_0(esk2_0,esk3_0) != k8_filter_0(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( k8_filter_0(esk2_0,X1) = k8_filter_0(esk1_0,X1)
| ~ m1_filter_0(X1,esk1_0)
| ~ m1_filter_0(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_79,c_0_87]),c_0_24]),c_0_88])]),c_0_89]) ).
cnf(c_0_95,negated_conjecture,
m1_filter_0(esk3_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_90,c_0_91]),c_0_24]),c_0_88])]),c_0_89]) ).
cnf(c_0_96,negated_conjecture,
m1_filter_0(esk3_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_90,c_0_92]),c_0_47]),c_0_81])]),c_0_82]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT331+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 09:55:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.022 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 98
% 0.22/1.41 # Proof object clause steps : 79
% 0.22/1.41 # Proof object formula steps : 19
% 0.22/1.41 # Proof object conjectures : 52
% 0.22/1.41 # Proof object clause conjectures : 49
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 30
% 0.22/1.41 # Proof object initial formulas used : 9
% 0.22/1.41 # Proof object generating inferences : 42
% 0.22/1.41 # Proof object simplifying inferences : 87
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 78
% 0.22/1.41 # Removed by relevancy pruning/SinE : 24
% 0.22/1.41 # Initial clauses : 125
% 0.22/1.41 # Removed in clause preprocessing : 2
% 0.22/1.41 # Initial clauses in saturation : 123
% 0.22/1.41 # Processed clauses : 1640
% 0.22/1.41 # ...of these trivial : 121
% 0.22/1.41 # ...subsumed : 583
% 0.22/1.41 # ...remaining for further processing : 936
% 0.22/1.41 # Other redundant clauses eliminated : 57
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 161
% 0.22/1.41 # Backward-rewritten : 233
% 0.22/1.41 # Generated clauses : 3841
% 0.22/1.41 # ...of the previous two non-trivial : 3878
% 0.22/1.41 # Contextual simplify-reflections : 1213
% 0.22/1.41 # Paramodulations : 3637
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 204
% 0.22/1.41 # Current number of processed clauses : 542
% 0.22/1.41 # Positive orientable unit clauses : 79
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 12
% 0.22/1.41 # Non-unit-clauses : 451
% 0.22/1.41 # Current number of unprocessed clauses: 1293
% 0.22/1.41 # ...number of literals in the above : 17072
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 394
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 290574
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 24819
% 0.22/1.41 # Non-unit clause-clause subsumptions : 1942
% 0.22/1.41 # Unit Clause-clause subsumption calls : 455
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 21
% 0.22/1.41 # BW rewrite match successes : 12
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 186587
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.401 s
% 0.22/1.41 # System time : 0.004 s
% 0.22/1.41 # Total time : 0.405 s
% 0.22/1.41 # Maximum resident set size: 7004 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------