TSTP Solution File: LAT286+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT286+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 04:46:22 EDT 2022
% Result : Theorem 0.53s 52.70s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 106 ( 26 unt; 0 def)
% Number of atoms : 419 ( 45 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 527 ( 214 ~; 222 |; 71 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-3 aty)
% Number of variables : 146 ( 24 sgn 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t15_lopclset) ).
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',redefinition_m2_relset_1) ).
fof(dt_k4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k4_lopclset(X1))
& v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_lopclset) ).
fof(d1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> k1_lopclset(X1) = a_1_0_lopclset(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_lopclset) ).
fof(dt_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) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_g3_lattices) ).
fof(rc1_funct_2,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc1_funct_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',free_g3_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',abstractness_v3_lattices) ).
fof(d4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_lopclset) ).
fof(dt_k5_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k5_lopclset(X1))
& v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_lopclset) ).
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',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',dt_l3_lattices) ).
fof(dt_k1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_lopclset) ).
fof(fc1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_lopclset) ).
fof(redefinition_m2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m2_subset_1) ).
fof(fc1_finsub_1,axiom,
! [X1] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v4_finsub_1(k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_finsub_1) ).
fof(t8_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t8_lopclset) ).
fof(dt_k6_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( ~ v3_struct_0(k6_lopclset(X1))
& v10_lattices(k6_lopclset(X1))
& l3_lattices(k6_lopclset(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k6_lopclset) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(assume_negation,[status(cth)],[t15_lopclset]) ).
fof(c_0_19,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_20,plain,
! [X2] :
( ( v1_funct_1(k4_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( v1_funct_2(k4_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( m2_relset_1(k4_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_lopclset])])])]) ).
fof(c_0_21,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])]) ).
fof(c_0_22,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_pre_topc(X2)
| k1_lopclset(X2) = a_1_0_lopclset(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_lopclset])])]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ( v3_lattices(g3_lattices(X4,X5,X6))
| ~ 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) )
& ( l3_lattices(g3_lattices(X4,X5,X6))
| ~ 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)],[dt_g3_lattices])])]) ).
fof(c_0_24,plain,
! [X4,X5] :
( m1_relset_1(esk2_2(X4,X5),X4,X5)
& v1_relat_1(esk2_2(X4,X5))
& v1_funct_1(esk2_2(X4,X5))
& v1_funct_2(esk2_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_2])]) ).
cnf(c_0_25,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( k1_lopclset(X1) = a_1_0_lopclset(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,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_31,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_32,plain,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
m1_relset_1(esk2_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
v1_funct_2(esk2_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
v1_funct_1(esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( m1_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_37,negated_conjecture,
k1_lopclset(esk1_0) = a_1_0_lopclset(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_38,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,plain,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_41,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| k6_lopclset(X2) = g3_lattices(k1_lopclset(X2),k4_lopclset(X2),k5_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_lopclset])])]) ).
fof(c_0_42,plain,
! [X2] :
( ( v1_funct_1(k5_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( v1_funct_2(k5_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( m2_relset_1(k5_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lopclset])])])]) ).
cnf(c_0_43,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_30]) ).
cnf(c_0_44,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_31]) ).
cnf(c_0_45,plain,
( v3_lattices(g3_lattices(X1,esk2_2(k2_zfmisc_1(X1,X1),X1),X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_46,negated_conjecture,
m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_47,negated_conjecture,
v1_funct_2(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_48,plain,
( l3_lattices(g3_lattices(X1,esk2_2(k2_zfmisc_1(X1,X1),X1),X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_49,plain,
( k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( X1 = u1_lattices(X2)
| g3_lattices(X3,X4,X1) != X2
| ~ v3_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( v3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0)))
| ~ v1_funct_1(k4_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_54,negated_conjecture,
( l3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0)))
| ~ v1_funct_1(k4_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47])]) ).
cnf(c_0_55,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_30]) ).
cnf(c_0_56,negated_conjecture,
g3_lattices(a_1_0_lopclset(esk1_0),k4_lopclset(esk1_0),k5_lopclset(esk1_0)) = k6_lopclset(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_57,negated_conjecture,
v1_funct_2(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_58,plain,
( v3_struct_0(X1)
| m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_59,plain,
( u1_lattices(g3_lattices(X1,X2,X3)) = X3
| ~ v3_lattices(g3_lattices(X1,X2,X3))
| ~ l3_lattices(g3_lattices(X1,X2,X3))
| ~ 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(er,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
v3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(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_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_61,negated_conjecture,
l3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_62,negated_conjecture,
( a_1_0_lopclset(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0)
| ~ m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_1(k4_lopclset(esk1_0))
| ~ v1_funct_1(k5_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_47]),c_0_57])]) ).
cnf(c_0_63,plain,
( m1_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_58]) ).
fof(c_0_64,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_65,negated_conjecture,
( u1_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0))) = k4_lopclset(esk1_0)
| ~ v1_funct_1(k4_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_33]),c_0_46]),c_0_34]),c_0_47]),c_0_35])]) ).
fof(c_0_66,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_67,negated_conjecture,
( a_1_0_lopclset(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0)
| ~ m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_1(k4_lopclset(esk1_0))
| ~ v1_funct_1(k5_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_46])]) ).
cnf(c_0_68,negated_conjecture,
m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_69,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
u1_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0))) = k4_lopclset(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_53]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_71,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( a_1_0_lopclset(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0)
| ~ v1_funct_1(k4_lopclset(esk1_0))
| ~ v1_funct_1(k5_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_73,negated_conjecture,
( v1_funct_1(k4_lopclset(esk1_0))
| ~ l1_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0))) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
l1_lattices(g3_lattices(a_1_0_lopclset(esk1_0),esk2_2(k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),k4_lopclset(esk1_0))),
inference(spm,[status(thm)],[c_0_71,c_0_61]) ).
cnf(c_0_75,negated_conjecture,
( a_1_0_lopclset(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0)
| ~ v1_funct_1(k5_lopclset(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_53]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_77,negated_conjecture,
( v3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),k4_lopclset(esk1_0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_1(k4_lopclset(esk1_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47])]) ).
cnf(c_0_78,negated_conjecture,
v1_funct_1(k4_lopclset(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_79,negated_conjecture,
( a_1_0_lopclset(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_80,negated_conjecture,
( v3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),k4_lopclset(esk1_0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
fof(c_0_81,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_pre_topc(X2)
| m1_subset_1(k1_lopclset(X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X2)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_lopclset])])]) ).
fof(c_0_82,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v1_xboole_0(k1_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lopclset])])]) ).
cnf(c_0_83,negated_conjecture,
( a_1_0_lopclset(esk1_0) = u1_struct_0(X1)
| X1 != k6_lopclset(esk1_0)
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_44]) ).
cnf(c_0_84,negated_conjecture,
( v3_lattices(k6_lopclset(esk1_0))
| ~ v1_funct_1(k5_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_68]),c_0_56]),c_0_57])]) ).
fof(c_0_85,plain,
! [X4,X5,X6,X6] :
( ( ~ m2_subset_1(X6,X4,X5)
| m1_subset_1(X6,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
& ( ~ m1_subset_1(X6,X5)
| m2_subset_1(X6,X4,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(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)],[redefinition_m2_subset_1])])])])])])]) ).
cnf(c_0_86,plain,
( m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_87,plain,
! [X2,X2,X2,X2] :
( ~ v1_xboole_0(k1_zfmisc_1(X2))
& v1_finsub_1(k1_zfmisc_1(X2))
& v3_finsub_1(k1_zfmisc_1(X2))
& v4_finsub_1(k1_zfmisc_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_finsub_1])])])]) ).
cnf(c_0_88,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_89,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| m2_subset_1(k2_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_lopclset(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t8_lopclset])])]) ).
cnf(c_0_90,negated_conjecture,
( u1_struct_0(k6_lopclset(esk1_0)) = a_1_0_lopclset(esk1_0)
| ~ v3_lattices(k6_lopclset(esk1_0))
| ~ l3_lattices(k6_lopclset(esk1_0)) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_91,negated_conjecture,
v3_lattices(k6_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_76]),c_0_29]),c_0_38])]),c_0_27]) ).
fof(c_0_92,plain,
! [X2] :
( ( ~ v3_struct_0(k6_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( v10_lattices(k6_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) )
& ( l3_lattices(k6_lopclset(X2))
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_lopclset])])])]) ).
cnf(c_0_93,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m2_subset_1(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_94,negated_conjecture,
m1_subset_1(a_1_0_lopclset(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_37]),c_0_29])]),c_0_27]) ).
cnf(c_0_95,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,negated_conjecture,
~ v1_xboole_0(a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_97,plain,
( m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( u1_struct_0(k6_lopclset(esk1_0)) = a_1_0_lopclset(esk1_0)
| ~ l3_lattices(k6_lopclset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| l3_lattices(k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( m1_subset_1(X1,a_1_0_lopclset(esk1_0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)),a_1_0_lopclset(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
m2_subset_1(k2_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),a_1_0_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_37]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_102,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_103,negated_conjecture,
u1_struct_0(k6_lopclset(esk1_0)) = a_1_0_lopclset(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_29]),c_0_38])]),c_0_27]) ).
cnf(c_0_104,negated_conjecture,
m1_subset_1(k2_pre_topc(esk1_0),a_1_0_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT286+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 11:43:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.44 eprover: CPU time limit exceeded, terminating
% 0.36/23.47 eprover: CPU time limit exceeded, terminating
% 0.49/46.43 eprover: CPU time limit exceeded, terminating
% 0.49/46.45 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.49/46.45
% 0.49/46.49 eprover: CPU time limit exceeded, terminating
% 0.53/52.70 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.53/52.70 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.53/52.70 # Preprocessing time : 0.017 s
% 0.53/52.70
% 0.53/52.70 # Failure: Out of unprocessed clauses!
% 0.53/52.70 # OLD status GaveUp
% 0.53/52.70 # Parsed axioms : 96
% 0.53/52.70 # Removed by relevancy pruning/SinE : 83
% 0.53/52.70 # Initial clauses : 20
% 0.53/52.70 # Removed in clause preprocessing : 0
% 0.53/52.70 # Initial clauses in saturation : 20
% 0.53/52.70 # Processed clauses : 34
% 0.53/52.70 # ...of these trivial : 0
% 0.53/52.70 # ...subsumed : 0
% 0.53/52.70 # ...remaining for further processing : 34
% 0.53/52.70 # Other redundant clauses eliminated : 0
% 0.53/52.70 # Clauses deleted for lack of memory : 0
% 0.53/52.70 # Backward-subsumed : 0
% 0.53/52.70 # Backward-rewritten : 0
% 0.53/52.70 # Generated clauses : 14
% 0.53/52.70 # ...of the previous two non-trivial : 14
% 0.53/52.70 # Contextual simplify-reflections : 0
% 0.53/52.70 # Paramodulations : 14
% 0.53/52.70 # Factorizations : 0
% 0.53/52.70 # Equation resolutions : 0
% 0.53/52.70 # Current number of processed clauses : 34
% 0.53/52.70 # Positive orientable unit clauses : 17
% 0.53/52.70 # Positive unorientable unit clauses: 0
% 0.53/52.70 # Negative unit clauses : 3
% 0.53/52.70 # Non-unit-clauses : 14
% 0.53/52.70 # Current number of unprocessed clauses: 0
% 0.53/52.70 # ...number of literals in the above : 0
% 0.53/52.70 # Current number of archived formulas : 0
% 0.53/52.70 # Current number of archived clauses : 0
% 0.53/52.70 # Clause-clause subsumption calls (NU) : 4
% 0.53/52.70 # Rec. Clause-clause subsumption calls : 4
% 0.53/52.70 # Non-unit clause-clause subsumptions : 0
% 0.53/52.70 # Unit Clause-clause subsumption calls : 7
% 0.53/52.70 # Rewrite failures with RHS unbound : 0
% 0.53/52.70 # BW rewrite match attempts : 0
% 0.53/52.70 # BW rewrite match successes : 0
% 0.53/52.70 # Condensation attempts : 0
% 0.53/52.70 # Condensation successes : 0
% 0.53/52.70 # Termbank termtop insertions : 2285
% 0.53/52.70
% 0.53/52.70 # -------------------------------------------------
% 0.53/52.70 # User time : 0.015 s
% 0.53/52.70 # System time : 0.003 s
% 0.53/52.70 # Total time : 0.018 s
% 0.53/52.70 # Maximum resident set size: 3136 pages
% 0.53/52.70 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.53/52.70 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.53/52.70 # Preprocessing time : 0.015 s
% 0.53/52.70
% 0.53/52.70 # Failure: Out of unprocessed clauses!
% 0.53/52.70 # OLD status GaveUp
% 0.53/52.70 # Parsed axioms : 96
% 0.53/52.70 # Removed by relevancy pruning/SinE : 90
% 0.53/52.70 # Initial clauses : 11
% 0.53/52.70 # Removed in clause preprocessing : 0
% 0.53/52.70 # Initial clauses in saturation : 11
% 0.53/52.70 # Processed clauses : 11
% 0.53/52.70 # ...of these trivial : 0
% 0.53/52.70 # ...subsumed : 0
% 0.53/52.70 # ...remaining for further processing : 11
% 0.53/52.70 # Other redundant clauses eliminated : 0
% 0.53/52.70 # Clauses deleted for lack of memory : 0
% 0.53/52.70 # Backward-subsumed : 0
% 0.53/52.70 # Backward-rewritten : 0
% 0.53/52.70 # Generated clauses : 0
% 0.53/52.70 # ...of the previous two non-trivial : 0
% 0.53/52.70 # Contextual simplify-reflections : 0
% 0.53/52.70 # Paramodulations : 0
% 0.53/52.70 # Factorizations : 0
% 0.53/52.70 # Equation resolutions : 0
% 0.53/52.70 # Current number of processed clauses : 11
% 0.53/52.70 # Positive orientable unit clauses : 4
% 0.53/52.70 # Positive unorientable unit clauses: 0
% 0.53/52.70 # Negative unit clauses : 2
% 0.53/52.70 # Non-unit-clauses : 5
% 0.53/52.70 # Current number of unprocessed clauses: 0
% 0.53/52.70 # ...number of literals in the above : 0
% 0.53/52.70 # Current number of archived formulas : 0
% 0.53/52.70 # Current number of archived clauses : 0
% 0.53/52.70 # Clause-clause subsumption calls (NU) : 0
% 0.53/52.70 # Rec. Clause-clause subsumption calls : 0
% 0.53/52.70 # Non-unit clause-clause subsumptions : 0
% 0.53/52.70 # Unit Clause-clause subsumption calls : 0
% 0.53/52.70 # Rewrite failures with RHS unbound : 0
% 0.53/52.70 # BW rewrite match attempts : 0
% 0.53/52.70 # BW rewrite match successes : 0
% 0.53/52.70 # Condensation attempts : 0
% 0.53/52.70 # Condensation successes : 0
% 0.53/52.70 # Termbank termtop insertions : 1768
% 0.53/52.70
% 0.53/52.70 # -------------------------------------------------
% 0.53/52.70 # User time : 0.012 s
% 0.53/52.70 # System time : 0.004 s
% 0.53/52.70 # Total time : 0.016 s
% 0.53/52.70 # Maximum resident set size: 2864 pages
% 0.53/52.70 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.53/52.70 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.53/52.70 # Preprocessing time : 0.016 s
% 0.53/52.70
% 0.53/52.70 # Failure: Out of unprocessed clauses!
% 0.53/52.70 # OLD status GaveUp
% 0.53/52.70 # Parsed axioms : 96
% 0.53/52.70 # Removed by relevancy pruning/SinE : 83
% 0.53/52.70 # Initial clauses : 20
% 0.53/52.70 # Removed in clause preprocessing : 0
% 0.53/52.70 # Initial clauses in saturation : 20
% 0.53/52.70 # Processed clauses : 22
% 0.53/52.70 # ...of these trivial : 0
% 0.53/52.70 # ...subsumed : 0
% 0.53/52.70 # ...remaining for further processing : 22
% 0.53/52.70 # Other redundant clauses eliminated : 0
% 0.53/52.70 # Clauses deleted for lack of memory : 0
% 0.53/52.70 # Backward-subsumed : 0
% 0.53/52.70 # Backward-rewritten : 0
% 0.53/52.70 # Generated clauses : 2
% 0.53/52.70 # ...of the previous two non-trivial : 2
% 0.53/52.70 # Contextual simplify-reflections : 0
% 0.53/52.70 # Paramodulations : 2
% 0.53/52.70 # Factorizations : 0
% 0.53/52.70 # Equation resolutions : 0
% 0.53/52.70 # Current number of processed clauses : 22
% 0.53/52.70 # Positive orientable unit clauses : 9
% 0.53/52.70 # Positive unorientable unit clauses: 0
% 0.53/52.70 # Negative unit clauses : 3
% 0.53/52.70 # Non-unit-clauses : 10
% 0.53/52.70 # Current number of unprocessed clauses: 0
% 0.53/52.70 # ...number of literals in the above : 0
% 0.53/52.70 # Current number of archived formulas : 0
% 0.53/52.70 # Current number of archived clauses : 0
% 0.53/52.70 # Clause-clause subsumption calls (NU) : 2
% 0.53/52.70 # Rec. Clause-clause subsumption calls : 2
% 0.53/52.70 # Non-unit clause-clause subsumptions : 0
% 0.53/52.70 # Unit Clause-clause subsumption calls : 5
% 0.53/52.70 # Rewrite failures with RHS unbound : 0
% 0.53/52.70 # BW rewrite match attempts : 0
% 0.53/52.70 # BW rewrite match successes : 0
% 0.53/52.70 # Condensation attempts : 0
% 0.53/52.70 # Condensation successes : 0
% 0.53/52.70 # Termbank termtop insertions : 2147
% 0.53/52.70
% 0.53/52.70 # -------------------------------------------------
% 0.53/52.70 # User time : 0.012 s
% 0.53/52.70 # System time : 0.005 s
% 0.53/52.70 # Total time : 0.017 s
% 0.53/52.70 # Maximum resident set size: 2948 pages
% 0.53/52.70 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.53/52.70
% 0.53/52.70 # Failure: Resource limit exceeded (time)
% 0.53/52.70 # OLD status Res
% 0.53/52.70 # Preprocessing time : 0.022 s
% 0.53/52.70 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.53/52.70
% 0.53/52.70 # Failure: Resource limit exceeded (time)
% 0.53/52.70 # OLD status Res
% 0.53/52.70 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.53/52.70 # Preprocessing time : 0.010 s
% 0.53/52.70 # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 0.53/52.70 # Preprocessing time : 0.023 s
% 0.53/52.70
% 0.53/52.70 # Proof found!
% 0.53/52.70 # SZS status Theorem
% 0.53/52.70 # SZS output start CNFRefutation
% See solution above
% 0.53/52.70 # Proof object total steps : 106
% 0.53/52.70 # Proof object clause steps : 69
% 0.53/52.70 # Proof object formula steps : 37
% 0.53/52.70 # Proof object conjectures : 41
% 0.53/52.70 # Proof object clause conjectures : 38
% 0.53/52.70 # Proof object formula conjectures : 3
% 0.53/52.70 # Proof object initial clauses used : 29
% 0.53/52.70 # Proof object initial formulas used : 18
% 0.53/52.70 # Proof object generating inferences : 34
% 0.53/52.70 # Proof object simplifying inferences : 101
% 0.53/52.70 # Training examples: 0 positive, 0 negative
% 0.53/52.70 # Parsed axioms : 96
% 0.53/52.70 # Removed by relevancy pruning/SinE : 0
% 0.53/52.70 # Initial clauses : 200
% 0.53/52.70 # Removed in clause preprocessing : 14
% 0.53/52.70 # Initial clauses in saturation : 186
% 0.53/52.70 # Processed clauses : 44068
% 0.53/52.70 # ...of these trivial : 36
% 0.53/52.70 # ...subsumed : 27849
% 0.53/52.70 # ...remaining for further processing : 16183
% 0.53/52.70 # Other redundant clauses eliminated : 115
% 0.53/52.70 # Clauses deleted for lack of memory : 140734
% 0.53/52.70 # Backward-subsumed : 130
% 0.53/52.70 # Backward-rewritten : 53
% 0.53/52.70 # Generated clauses : 288035
% 0.53/52.70 # ...of the previous two non-trivial : 274672
% 0.53/52.70 # Contextual simplify-reflections : 0
% 0.53/52.70 # Paramodulations : 287460
% 0.53/52.70 # Factorizations : 406
% 0.53/52.70 # Equation resolutions : 169
% 0.53/52.70 # Current number of processed clauses : 15999
% 0.53/52.70 # Positive orientable unit clauses : 178
% 0.53/52.70 # Positive unorientable unit clauses: 0
% 0.53/52.70 # Negative unit clauses : 28
% 0.53/52.70 # Non-unit-clauses : 15793
% 0.53/52.70 # Current number of unprocessed clauses: 88014
% 0.53/52.70 # ...number of literals in the above : 543765
% 0.53/52.70 # Current number of archived formulas : 0
% 0.53/52.70 # Current number of archived clauses : 183
% 0.53/52.70 # Clause-clause subsumption calls (NU) : 7567571
% 0.53/52.70 # Rec. Clause-clause subsumption calls : 1306060
% 0.53/52.70 # Non-unit clause-clause subsumptions : 20688
% 0.53/52.70 # Unit Clause-clause subsumption calls : 69609
% 0.53/52.70 # Rewrite failures with RHS unbound : 0
% 0.53/52.70 # BW rewrite match attempts : 72
% 0.53/52.70 # BW rewrite match successes : 22
% 0.53/52.70 # Condensation attempts : 0
% 0.53/52.70 # Condensation successes : 0
% 0.53/52.70 # Termbank termtop insertions : 6282431
% 0.53/52.70
% 0.53/52.70 # -------------------------------------------------
% 0.53/52.70 # User time : 5.684 s
% 0.53/52.70 # System time : 0.097 s
% 0.53/52.70 # Total time : 5.781 s
% 0.53/52.70 # Maximum resident set size: 139204 pages
% 0.53/69.46 eprover: CPU time limit exceeded, terminating
% 0.53/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48 eprover: No such file or directory
% 0.53/69.49 eprover: CPU time limit exceeded, terminating
% 0.53/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49 eprover: No such file or directory
% 0.53/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50 eprover: No such file or directory
% 0.53/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50 eprover: No such file or directory
% 0.53/69.50 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.inCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50
% 0.53/69.50 eprover: No such file or directory
% 0.53/69.50 eprover: No such file or directory
% 0.53/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51 eprover: No such file or directory
% 0.53/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51 eprover: No such file or directory
% 0.53/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51 eprover: No such file or directory
% 0.53/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52 eprover: No such file or directory
% 0.53/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52 eprover: No such file or directory
% 0.53/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52 eprover: No such file or directory
% 0.53/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52 eprover: No such file or directory
% 0.53/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.53 eprover: No such file or directory
% 0.53/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.53 eprover: No such file or directory
% 0.53/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.54 eprover: No such file or directory
% 0.53/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.55 eprover: No such file or directory
% 0.53/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.55 eprover: No such file or directory
%------------------------------------------------------------------------------