%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT343+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 04:47:28 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 121 ( 15 unt; 0 def)
% Number of atoms : 508 ( 30 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 629 ( 242 ~; 284 |; 73 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 168 ( 8 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X1))
=> ! [X3] :
( m1_subset_1(X3,u2_conlat_1(X1))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_conlat_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k10_conlat_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k8_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g3_lattices) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d23_conlat_1) ).
fof(d18_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ( m1_conlat_1(X2,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
=> ( ~ v7_conlat_1(X3,X1)
& v9_conlat_1(X3,X1)
& l3_conlat_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d18_conlat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(dt_k8_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> m1_conlat_1(k8_conlat_1(X1),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_conlat_1) ).
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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_conlat_1) ).
fof(dt_k5_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k5_conlat_2(X1))
& v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_conlat_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k8_funct_2) ).
fof(dt_k4_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k4_conlat_2(X1))
& v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_conlat_2) ).
fof(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_funct_2) ).
fof(fc1_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ~ v1_xboole_0(u2_conlat_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_conlat_1) ).
fof(fc2_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ~ v1_xboole_0(u1_conlat_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_conlat_1) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l2_conlat_1) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X1))
=> ! [X3] :
( m1_subset_1(X3,u2_conlat_1(X1))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t11_conlat_2]) ).
fof(c_0_22,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_23,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_24,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_25,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& m1_subset_1(esk2_0,u1_conlat_1(esk1_0))
& m1_subset_1(esk3_0,u2_conlat_1(esk1_0))
& ( v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_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_21])])])])])]) ).
fof(c_0_26,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_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])])])])])]) ).
fof(c_0_28,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])])]) ).
cnf(c_0_29,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,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_23]) ).
cnf(c_0_31,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_24]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ( ~ v7_conlat_1(X6,X4)
| ~ r2_hidden(X6,X5)
| ~ m1_conlat_1(X5,X4)
| v1_xboole_0(X5)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( v9_conlat_1(X6,X4)
| ~ r2_hidden(X6,X5)
| ~ m1_conlat_1(X5,X4)
| v1_xboole_0(X5)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( l3_conlat_1(X6,X4)
| ~ r2_hidden(X6,X5)
| ~ m1_conlat_1(X5,X4)
| v1_xboole_0(X5)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( r2_hidden(esk4_2(X4,X5),X5)
| m1_conlat_1(X5,X4)
| v1_xboole_0(X5)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( v7_conlat_1(esk4_2(X4,X5),X4)
| ~ v9_conlat_1(esk4_2(X4,X5),X4)
| ~ l3_conlat_1(esk4_2(X4,X5),X4)
| m1_conlat_1(X5,X4)
| v1_xboole_0(X5)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) ) ),
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)],[d18_conlat_1])])])])])])])]) ).
fof(c_0_33,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_34,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l2_conlat_1(X2)
| m1_conlat_1(k8_conlat_1(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_conlat_1])])]) ).
cnf(c_0_35,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( k8_conlat_1(X1) = k7_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,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]) ).
cnf(c_0_39,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_28]) ).
cnf(c_0_40,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_29,c_0_30]) ).
cnf(c_0_41,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_29,c_0_31]) ).
cnf(c_0_42,plain,
( v3_conlat_1(X1)
| v1_funct_1(k9_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( v3_conlat_1(X1)
| v1_funct_1(k10_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_44,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_23]) ).
cnf(c_0_45,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_24]) ).
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,
( v3_conlat_1(X1)
| v1_xboole_0(X2)
| ~ l2_conlat_1(X1)
| ~ m1_conlat_1(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ v7_conlat_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( m1_conlat_1(k8_conlat_1(X1),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,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_35,c_0_36]),c_0_37])]) ).
cnf(c_0_51,plain,
( v3_conlat_1(X1)
| v1_xboole_0(X2)
| v9_conlat_1(X3,X1)
| ~ l2_conlat_1(X1)
| ~ m1_conlat_1(X2,X1)
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( v3_conlat_1(X1)
| v1_xboole_0(X2)
| l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1)
| ~ m1_conlat_1(X2,X1)
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,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_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_54,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_55,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_56,plain,
( v3_conlat_1(X1)
| ~ m1_conlat_1(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ v7_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
m1_conlat_1(k7_conlat_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_37])]),c_0_35]) ).
cnf(c_0_58,plain,
( v9_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ m1_conlat_1(X3,X2)
| ~ r2_hidden(X1,X3)
| ~ l2_conlat_1(X2) ),
inference(csr,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_59,plain,
( l3_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ m1_conlat_1(X3,X2)
| ~ r2_hidden(X1,X3)
| ~ l2_conlat_1(X2) ),
inference(csr,[status(thm)],[c_0_52,c_0_48]) ).
fof(c_0_60,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_61,plain,
! [X2] :
( ( v1_funct_1(k5_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v1_funct_2(k5_conlat_2(X2),u2_conlat_1(X2),u1_struct_0(k11_conlat_1(X2)))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( m2_relset_1(k5_conlat_2(X2),u2_conlat_1(X2),u1_struct_0(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_k5_conlat_2])])])]) ).
cnf(c_0_62,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_53,c_0_54]) ).
cnf(c_0_63,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( ~ r2_hidden(X1,k7_conlat_1(esk1_0))
| ~ v7_conlat_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_37])]),c_0_35]) ).
cnf(c_0_66,negated_conjecture,
( v7_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_67,negated_conjecture,
( v9_conlat_1(X1,esk1_0)
| ~ r2_hidden(X1,k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_37])]),c_0_35]) ).
cnf(c_0_68,negated_conjecture,
( l3_conlat_1(X1,esk1_0)
| ~ r2_hidden(X1,k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_37])]),c_0_35]) ).
fof(c_0_69,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_70,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(k7_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
( v3_conlat_1(X1)
| m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( u1_struct_0(k11_conlat_1(X1)) = k8_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_62]),c_0_63]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0))
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_74,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,negated_conjecture,
~ v1_xboole_0(k7_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_70]),c_0_37])]) ).
fof(c_0_76,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| ~ m1_subset_1(X8,X5)
| k8_funct_2(X5,X6,X7,X8) = k1_funct_1(X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2])])]) ).
cnf(c_0_77,plain,
( v3_conlat_1(X1)
| v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_78,plain,
( m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,negated_conjecture,
m1_subset_1(esk3_0,u2_conlat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_82,plain,
( v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
m2_relset_1(k5_conlat_2(esk1_0),u2_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_78,c_0_50]),c_0_37])]),c_0_35]) ).
fof(c_0_84,plain,
! [X2] :
( ( v1_funct_1(k4_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v1_funct_2(k4_conlat_2(X2),u1_conlat_1(X2),u1_struct_0(k11_conlat_1(X2)))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( m2_relset_1(k4_conlat_2(X2),u1_conlat_1(X2),u1_struct_0(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_k4_conlat_2])])])]) ).
cnf(c_0_85,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_86,negated_conjecture,
v1_funct_2(k5_conlat_2(esk1_0),u2_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_82,c_0_50]),c_0_37])]),c_0_35]) ).
cnf(c_0_87,negated_conjecture,
m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),k7_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_29,c_0_83]) ).
cnf(c_0_88,plain,
( v3_conlat_1(X1)
| m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_89,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| ~ m1_subset_1(X8,X5)
| m1_subset_1(k8_funct_2(X5,X6,X7,X8),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_funct_2])])]) ).
cnf(c_0_90,plain,
( v3_conlat_1(X1)
| ~ r2_hidden(X2,k8_conlat_1(X1))
| ~ v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),k7_conlat_1(esk1_0),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),k7_conlat_1(esk1_0),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),k7_conlat_1(esk1_0),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),esk3_0),k7_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(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_85,c_0_72]),c_0_50]),c_0_50]),c_0_86]),c_0_50]),c_0_87]),c_0_50]),c_0_50]),c_0_37])]),c_0_35]) ).
cnf(c_0_92,plain,
( v3_conlat_1(X1)
| v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_93,plain,
( m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_72]) ).
cnf(c_0_94,plain,
( m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ r2_hidden(k8_funct_2(u1_conlat_1(esk1_0),k7_conlat_1(esk1_0),k4_conlat_2(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_50]),c_0_37])]),c_0_35]),c_0_67]),c_0_68]) ).
cnf(c_0_96,plain,
( v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_72]) ).
cnf(c_0_97,negated_conjecture,
m2_relset_1(k4_conlat_2(esk1_0),u1_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_93,c_0_50]),c_0_37])]),c_0_35]) ).
cnf(c_0_98,plain,
( v1_xboole_0(X1)
| m1_subset_1(k1_funct_1(X2,X3),X4)
| ~ v1_funct_2(X2,X1,X4)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X1,X4)
| ~ m1_subset_1(X3,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_80]) ).
cnf(c_0_99,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ m1_subset_1(k8_funct_2(u1_conlat_1(esk1_0),k7_conlat_1(esk1_0),k4_conlat_2(esk1_0),esk2_0),k7_conlat_1(esk1_0))
| ~ m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_74]),c_0_75]) ).
cnf(c_0_100,negated_conjecture,
v1_funct_2(k4_conlat_2(esk1_0),u1_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_96,c_0_50]),c_0_37])]),c_0_35]) ).
cnf(c_0_101,negated_conjecture,
m1_relset_1(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),k7_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_29,c_0_97]) ).
cnf(c_0_102,negated_conjecture,
m1_subset_1(esk2_0,u1_conlat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_103,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),X1),k7_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),k7_conlat_1(esk1_0))
| ~ m1_subset_1(X1,u2_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_86]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u2_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),esk3_0),k7_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_94]),c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_105,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| m1_subset_1(k1_funct_1(k5_conlat_2(esk1_0),X1),k7_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ m1_subset_1(X1,u2_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_87])]) ).
fof(c_0_106,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l1_conlat_1(X2)
| ~ v1_xboole_0(u2_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_conlat_1])])]) ).
cnf(c_0_107,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_1(k4_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_81])]) ).
cnf(c_0_108,plain,
( v3_conlat_1(X1)
| v1_funct_1(k5_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_109,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l1_conlat_1(X2)
| ~ v1_xboole_0(u1_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_conlat_1])])]) ).
cnf(c_0_110,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(u2_conlat_1(X1))
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u2_conlat_1(esk1_0))
| ~ v1_funct_1(k4_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_37])]),c_0_35]) ).
cnf(c_0_112,plain,
( v3_conlat_1(X1)
| v1_funct_1(k4_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_113,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(u1_conlat_1(X1))
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( ~ v1_xboole_0(u2_conlat_1(esk1_0))
| ~ l1_conlat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_37])]),c_0_35]) ).
cnf(c_0_116,negated_conjecture,
( ~ v1_xboole_0(u1_conlat_1(esk1_0))
| ~ l1_conlat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_113]) ).
fof(c_0_117,plain,
! [X2] :
( ~ l2_conlat_1(X2)
| l1_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])]) ).
cnf(c_0_118,negated_conjecture,
~ l1_conlat_1(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT343+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 05:14:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.022 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 : 121
% 0.23/1.41 # Proof object clause steps : 78
% 0.23/1.41 # Proof object formula steps : 43
% 0.23/1.41 # Proof object conjectures : 36
% 0.23/1.41 # Proof object clause conjectures : 33
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 36
% 0.23/1.41 # Proof object initial formulas used : 21
% 0.23/1.41 # Proof object generating inferences : 38
% 0.23/1.41 # Proof object simplifying inferences : 78
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 97
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 224
% 0.23/1.41 # Removed in clause preprocessing : 21
% 0.23/1.41 # Initial clauses in saturation : 203
% 0.23/1.41 # Processed clauses : 1386
% 0.23/1.41 # ...of these trivial : 25
% 0.23/1.41 # ...subsumed : 539
% 0.23/1.41 # ...remaining for further processing : 822
% 0.23/1.41 # Other redundant clauses eliminated : 6
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 105
% 0.23/1.41 # Backward-rewritten : 78
% 0.23/1.41 # Generated clauses : 3955
% 0.23/1.41 # ...of the previous two non-trivial : 3591
% 0.23/1.41 # Contextual simplify-reflections : 742
% 0.23/1.41 # Paramodulations : 3918
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 31
% 0.23/1.41 # Current number of processed clauses : 637
% 0.23/1.41 # Positive orientable unit clauses : 113
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 19
% 0.23/1.41 # Non-unit-clauses : 505
% 0.23/1.41 # Current number of unprocessed clauses: 1854
% 0.23/1.41 # ...number of literals in the above : 15629
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 183
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 255600
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 56852
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1301
% 0.23/1.41 # Unit Clause-clause subsumption calls : 2809
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 38
% 0.23/1.41 # BW rewrite match successes : 29
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 126127
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.193 s
% 0.23/1.41 # System time : 0.005 s
% 0.23/1.41 # Total time : 0.198 s
% 0.23/1.41 # Maximum resident set size: 7768 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------