TSTP Solution File: LAT338+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT338+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 04:47:23 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 20 unt; 0 def)
% Number of atoms : 417 ( 43 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 547 ( 228 ~; 237 |; 61 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 131 ( 18 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_conlat_2) ).
fof(redefinition_k8_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k8_conlat_1(X1) = k7_conlat_1(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k8_conlat_1) ).
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_k9_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k9_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_conlat_1) ).
fof(dt_k10_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k10_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k10_conlat_1) ).
fof(t35_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( r2_hidden(X2,k8_conlat_1(X1))
<=> ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t35_conlat_1) ).
fof(d23_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d23_conlat_1) ).
fof(dt_k7_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ~ v1_xboole_0(k7_conlat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_conlat_1) ).
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(fc3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& 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) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc3_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v3_lattices) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_conlat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(dt_k15_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k15_lattice3) ).
fof(dt_k16_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k16_lattice3) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t4_conlat_2]) ).
fof(c_0_16,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(esk1_0))))
& ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_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_15])])])])])]) ).
fof(c_0_17,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l2_conlat_1(X2)
| k8_conlat_1(X2) = k7_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k8_conlat_1])])]) ).
fof(c_0_18,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_19,plain,
! [X2] :
( ( v1_funct_1(k9_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v1_funct_2(k9_conlat_1(X2),k2_zfmisc_1(k8_conlat_1(X2),k8_conlat_1(X2)),k8_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( m2_relset_1(k9_conlat_1(X2),k2_zfmisc_1(k8_conlat_1(X2),k8_conlat_1(X2)),k8_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_conlat_1])])])]) ).
fof(c_0_20,plain,
! [X2] :
( ( v1_funct_1(k10_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v1_funct_2(k10_conlat_1(X2),k2_zfmisc_1(k8_conlat_1(X2),k8_conlat_1(X2)),k8_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( m2_relset_1(k10_conlat_1(X2),k2_zfmisc_1(k8_conlat_1(X2),k8_conlat_1(X2)),k8_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k10_conlat_1])])])]) ).
fof(c_0_21,plain,
! [X3,X4,X4] :
( ( v6_conlat_1(X4,X3)
| ~ r2_hidden(X4,k8_conlat_1(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) )
& ( ~ v7_conlat_1(X4,X3)
| ~ r2_hidden(X4,k8_conlat_1(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) )
& ( v9_conlat_1(X4,X3)
| ~ r2_hidden(X4,k8_conlat_1(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) )
& ( l3_conlat_1(X4,X3)
| ~ r2_hidden(X4,k8_conlat_1(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) )
& ( ~ v6_conlat_1(X4,X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| r2_hidden(X4,k8_conlat_1(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(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)],[t35_conlat_1])])])])])])]) ).
cnf(c_0_22,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( k8_conlat_1(X1) = k7_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l2_conlat_1(X2)
| k11_conlat_1(X2) = g3_lattices(k8_conlat_1(X2),k10_conlat_1(X2),k9_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d23_conlat_1])])]) ).
fof(c_0_26,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l2_conlat_1(X2)
| ~ v1_xboole_0(k7_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_conlat_1])])]) ).
fof(c_0_27,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])])])])])]) ).
cnf(c_0_28,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( v3_conlat_1(X1)
| m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( v3_conlat_1(X1)
| m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ r2_hidden(X2,k8_conlat_1(X1))
| ~ v7_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,negated_conjecture,
k8_conlat_1(esk1_0) = k7_conlat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
& ( v3_lattices(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc3_lattices])])])]) ).
cnf(c_0_35,plain,
( k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(k7_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_27]) ).
cnf(c_0_38,plain,
( m1_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( m1_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_40,plain,
( v3_conlat_1(X1)
| v1_funct_1(k9_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,plain,
( v3_conlat_1(X1)
| v1_funct_1(k10_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,plain,
( v3_conlat_1(X1)
| v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( v3_conlat_1(X1)
| v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24])]),c_0_22]),c_0_33]) ).
cnf(c_0_45,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_27]) ).
fof(c_0_46,plain,
! [X2] :
( ~ l3_lattices(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_47,plain,
( v1_xboole_0(X2)
| ~ 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)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,negated_conjecture,
g3_lattices(k7_conlat_1(esk1_0),k10_conlat_1(esk1_0),k9_conlat_1(esk1_0)) = k11_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_49,negated_conjecture,
~ v1_xboole_0(k7_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_24])]) ).
cnf(c_0_50,plain,
( k10_conlat_1(X1) = X2
| v3_conlat_1(X1)
| k11_conlat_1(X1) != g3_lattices(X3,X2,X4)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_51,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_27]) ).
cnf(c_0_52,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_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_31,c_0_44]),c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_53,plain,
( v3_conlat_1(X1)
| v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ r2_hidden(X2,k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_54,plain,
( k8_conlat_1(X1) = X2
| v3_conlat_1(X1)
| k11_conlat_1(X1) != g3_lattices(X2,X3,X4)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_35]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_55,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_56,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k11_conlat_1])])])]) ).
cnf(c_0_57,negated_conjecture,
( ~ v3_struct_0(k11_conlat_1(esk1_0))
| ~ v1_funct_2(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0))
| ~ v1_funct_2(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0))
| ~ v1_funct_1(k10_conlat_1(esk1_0))
| ~ v1_funct_1(k9_conlat_1(esk1_0))
| ~ m1_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0))
| ~ m1_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_58,negated_conjecture,
v1_funct_2(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_59,negated_conjecture,
v1_funct_2(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_60,negated_conjecture,
m2_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_61,negated_conjecture,
m2_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_62,negated_conjecture,
( k10_conlat_1(X1) = k10_conlat_1(esk1_0)
| v3_conlat_1(X1)
| k11_conlat_1(X1) != k11_conlat_1(esk1_0)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_48]) ).
cnf(c_0_63,plain,
( k9_conlat_1(X1) = X2
| v3_conlat_1(X1)
| k11_conlat_1(X1) != g3_lattices(X3,X4,X2)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_64,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_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_52,c_0_53]),c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_65,plain,
( v3_conlat_1(X1)
| l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ r2_hidden(X2,k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_66,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_67,plain,
( k8_conlat_1(X1) = u1_struct_0(X2)
| v3_conlat_1(X1)
| k11_conlat_1(X1) != X2
| ~ v3_lattices(X2)
| ~ l3_lattices(X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_68,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_70,negated_conjecture,
( ~ v3_struct_0(k11_conlat_1(esk1_0))
| ~ v1_funct_1(k10_conlat_1(esk1_0))
| ~ v1_funct_1(k9_conlat_1(esk1_0))
| ~ m1_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0))
| ~ m1_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),c_0_59])]) ).
cnf(c_0_71,negated_conjecture,
m1_relset_1(k10_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_28,c_0_60]) ).
cnf(c_0_72,negated_conjecture,
m1_relset_1(k9_conlat_1(esk1_0),k2_zfmisc_1(k7_conlat_1(esk1_0),k7_conlat_1(esk1_0)),k7_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_28,c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( v1_funct_1(k10_conlat_1(esk1_0))
| v3_conlat_1(X1)
| k11_conlat_1(X1) != k11_conlat_1(esk1_0)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( k9_conlat_1(X1) = k9_conlat_1(esk1_0)
| v3_conlat_1(X1)
| k11_conlat_1(X1) != k11_conlat_1(esk1_0)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_48]) ).
cnf(c_0_75,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_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_64,c_0_65]),c_0_33]),c_0_24])]),c_0_22]) ).
cnf(c_0_76,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,plain,
( k8_conlat_1(X1) = u1_struct_0(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_78,negated_conjecture,
( ~ v3_struct_0(k11_conlat_1(esk1_0))
| ~ v1_funct_1(k10_conlat_1(esk1_0))
| ~ v1_funct_1(k9_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]),c_0_72])]) ).
cnf(c_0_79,negated_conjecture,
v1_funct_1(k10_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_24])]),c_0_22]) ).
cnf(c_0_80,negated_conjecture,
( v1_funct_1(k9_conlat_1(esk1_0))
| v3_conlat_1(X1)
| k11_conlat_1(X1) != k11_conlat_1(esk1_0)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ m1_subset_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_49]) ).
cnf(c_0_82,negated_conjecture,
k7_conlat_1(esk1_0) = u1_struct_0(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_77]),c_0_33]),c_0_24])]) ).
fof(c_0_83,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l3_lattices(X3)
| m1_subset_1(k15_lattice3(X3,X4),u1_struct_0(X3)) ),
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_k15_lattice3])])])])]) ).
cnf(c_0_84,negated_conjecture,
( ~ v3_struct_0(k11_conlat_1(esk1_0))
| ~ v1_funct_1(k9_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_85,negated_conjecture,
v1_funct_1(k9_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_80]),c_0_24])]),c_0_22]) ).
cnf(c_0_86,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ m1_subset_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).
cnf(c_0_87,plain,
( m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
l3_lattices(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_68]),c_0_24])]) ).
cnf(c_0_89,negated_conjecture,
~ v3_struct_0(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_90,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
( ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),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_90,c_0_53]),c_0_33]),c_0_82]),c_0_24])]),c_0_22]) ).
cnf(c_0_92,negated_conjecture,
~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(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_91,c_0_65]),c_0_33]),c_0_82]),c_0_24])]),c_0_22]) ).
cnf(c_0_93,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))),
inference(rw,[status(thm)],[c_0_49,c_0_82]) ).
fof(c_0_94,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l3_lattices(X3)
| m1_subset_1(k16_lattice3(X3,X4),u1_struct_0(X3)) ),
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_k16_lattice3])])])])]) ).
cnf(c_0_95,negated_conjecture,
~ m1_subset_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_76]),c_0_93]) ).
cnf(c_0_96,plain,
( m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_88])]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT338+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 10:54:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.42 # Preprocessing time : 0.024 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 98
% 0.25/1.42 # Proof object clause steps : 67
% 0.25/1.42 # Proof object formula steps : 31
% 0.25/1.42 # Proof object conjectures : 40
% 0.25/1.42 # Proof object clause conjectures : 37
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 26
% 0.25/1.42 # Proof object initial formulas used : 15
% 0.25/1.42 # Proof object generating inferences : 35
% 0.25/1.42 # Proof object simplifying inferences : 100
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 106
% 0.25/1.42 # Removed by relevancy pruning/SinE : 0
% 0.25/1.42 # Initial clauses : 243
% 0.25/1.42 # Removed in clause preprocessing : 20
% 0.25/1.42 # Initial clauses in saturation : 223
% 0.25/1.42 # Processed clauses : 1115
% 0.25/1.42 # ...of these trivial : 1
% 0.25/1.42 # ...subsumed : 422
% 0.25/1.42 # ...remaining for further processing : 692
% 0.25/1.42 # Other redundant clauses eliminated : 7
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 36
% 0.25/1.42 # Backward-rewritten : 58
% 0.25/1.42 # Generated clauses : 3681
% 0.25/1.42 # ...of the previous two non-trivial : 3470
% 0.25/1.42 # Contextual simplify-reflections : 467
% 0.25/1.42 # Paramodulations : 3603
% 0.25/1.42 # Factorizations : 42
% 0.25/1.42 # Equation resolutions : 25
% 0.25/1.42 # Current number of processed clauses : 592
% 0.25/1.42 # Positive orientable unit clauses : 90
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 18
% 0.25/1.42 # Non-unit-clauses : 484
% 0.25/1.42 # Current number of unprocessed clauses: 2285
% 0.25/1.42 # ...number of literals in the above : 11542
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 95
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 80812
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 23057
% 0.25/1.42 # Non-unit clause-clause subsumptions : 866
% 0.25/1.42 # Unit Clause-clause subsumption calls : 1590
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 9
% 0.25/1.42 # BW rewrite match successes : 8
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 88659
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.146 s
% 0.25/1.42 # System time : 0.008 s
% 0.25/1.42 # Total time : 0.154 s
% 0.25/1.42 # Maximum resident set size: 7828 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------