TSTP Solution File: LAT295+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 04:46:34 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 88 ( 15 unt; 0 def)
% Number of atoms : 463 ( 110 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 673 ( 298 ~; 289 |; 50 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 123 ( 9 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_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(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_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(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(d2_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_lattices) ).
fof(d3_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_lattices) ).
fof(d1_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_lattices) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_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)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk5_0,u1_struct_0(esk2_0))
& m1_subset_1(esk6_0,u1_struct_0(esk2_0))
& esk3_0 = esk5_0
& esk4_0 = esk6_0
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) ) ),
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)],[c_0_9])])])])])])]) ).
cnf(c_0_12,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_13,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_14,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])])])]) ).
fof(c_0_15,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])])]) ).
cnf(c_0_16,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_12,c_0_13]) ).
cnf(c_0_17,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,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_15]) ).
fof(c_0_19,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_20,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_16]) ).
cnf(c_0_21,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_15]) ).
cnf(c_0_22,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
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))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_24,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_25,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_28,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_24]) ).
cnf(c_0_29,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
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_24]) ).
cnf(c_0_31,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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_32,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_33,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_34,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29])]) ).
cnf(c_0_35,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u1_lattices(X4),X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_lattices])])])])])]) ).
cnf(c_0_37,negated_conjecture,
( X1 = u1_lattices(esk2_0)
| g3_lattices(X2,X3,X1) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_13]) ).
cnf(c_0_38,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_29])]) ).
cnf(c_0_39,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,plain,
( k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( u1_lattices(esk2_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))
| ~ 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_37]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,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_38,c_0_39]),c_0_26])]) ).
cnf(c_0_44,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_45,negated_conjecture,
( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,negated_conjecture,
( k2_binop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2)
| ~ 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))
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_43]),c_0_43]),c_0_43]),c_0_43]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,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_44,c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
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_45,c_0_46]),c_0_47]),c_0_46]),c_0_47]),c_0_47]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ 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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_48]),c_0_49]),c_0_22]),c_0_21]),c_0_23]) ).
cnf(c_0_54,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_50,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_56,plain,
! [X4,X5,X6] :
( ( ~ r1_lattices(X4,X5,X6)
| k1_lattices(X4,X5,X6) = X6
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) )
& ( k1_lattices(X4,X5,X6) != X6
| r1_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_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)],[d3_lattices])])])])])])]) ).
cnf(c_0_57,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_58,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k1_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u2_lattices(X4),X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_lattices])])])])])]) ).
cnf(c_0_59,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_51]) ).
cnf(c_0_60,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_lattices(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_57]) ).
cnf(c_0_63,plain,
( k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_65,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_66,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ r1_lattices(esk1_0,esk3_0,esk6_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_60,c_0_61]),c_0_62]),c_0_43]),c_0_54]),c_0_43]),c_0_55])]),c_0_42]) ).
cnf(c_0_67,negated_conjecture,
( k2_binop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ 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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_62])]),c_0_42]),c_0_43]),c_0_43]),c_0_43]),c_0_43]),c_0_43]) ).
cnf(c_0_68,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0) ),
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_65,c_0_47]),c_0_46]),c_0_46]),c_0_47]),c_0_46]),c_0_47]) ).
cnf(c_0_69,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(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_66,c_0_61]),c_0_29]),c_0_54]),c_0_55])]),c_0_49]) ).
cnf(c_0_70,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ 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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_29])]),c_0_49]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = X3
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_72,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk2_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_73,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_28]),c_0_29])]) ).
cnf(c_0_74,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ 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))
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_29])]) ).
cnf(c_0_75,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(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_71,c_0_72]),c_0_62]),c_0_43]),c_0_54]),c_0_43]),c_0_55])]),c_0_42]) ).
cnf(c_0_76,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_32]),c_0_29])]) ).
cnf(c_0_77,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_32]),c_0_29])]) ).
cnf(c_0_78,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(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_71,c_0_75]),c_0_29]),c_0_54]),c_0_55])]),c_0_49]) ).
cnf(c_0_79,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_35]),c_0_29])]) ).
cnf(c_0_80,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_35]),c_0_29])]) ).
cnf(c_0_81,negated_conjecture,
( k1_lattices(esk1_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_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))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_28]),c_0_29])]) ).
cnf(c_0_82,negated_conjecture,
( k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_54]),c_0_55])]) ).
cnf(c_0_83,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_32]),c_0_29])]),c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_35]),c_0_29])]) ).
cnf(c_0_85,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_80]),c_0_54]),c_0_55])]),c_0_82]) ).
cnf(c_0_86,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_39]),c_0_57])]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_39]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n023.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 : Wed Jun 29 23:01:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.020 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 88
% 0.23/1.41 # Proof object clause steps : 69
% 0.23/1.41 # Proof object formula steps : 19
% 0.23/1.41 # Proof object conjectures : 54
% 0.23/1.41 # Proof object clause conjectures : 51
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 27
% 0.23/1.41 # Proof object initial formulas used : 9
% 0.23/1.41 # Proof object generating inferences : 39
% 0.23/1.41 # Proof object simplifying inferences : 106
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 75
% 0.23/1.41 # Removed by relevancy pruning/SinE : 37
% 0.23/1.41 # Initial clauses : 70
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 68
% 0.23/1.41 # Processed clauses : 361
% 0.23/1.41 # ...of these trivial : 14
% 0.23/1.41 # ...subsumed : 107
% 0.23/1.41 # ...remaining for further processing : 240
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 37
% 0.23/1.41 # Backward-rewritten : 21
% 0.23/1.41 # Generated clauses : 422
% 0.23/1.41 # ...of the previous two non-trivial : 404
% 0.23/1.41 # Contextual simplify-reflections : 229
% 0.23/1.41 # Paramodulations : 416
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 6
% 0.23/1.41 # Current number of processed clauses : 182
% 0.23/1.41 # Positive orientable unit clauses : 37
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 10
% 0.23/1.41 # Non-unit-clauses : 135
% 0.23/1.41 # Current number of unprocessed clauses: 78
% 0.23/1.41 # ...number of literals in the above : 866
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 58
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 34433
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 3976
% 0.23/1.41 # Non-unit clause-clause subsumptions : 367
% 0.23/1.41 # Unit Clause-clause subsumption calls : 305
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 3
% 0.23/1.41 # BW rewrite match successes : 3
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 26170
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.091 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.092 s
% 0.23/1.41 # Maximum resident set size: 3684 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------