TSTP Solution File: LAT296+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT296+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : 300s
% DateTime : Mon May 20 23:24:23 EDT 2024
% Result : Theorem 5.53s 1.13s
% Output : CNFRefutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 124 ( 33 unt; 0 def)
% Number of atoms : 609 ( 74 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 811 ( 326 ~; 329 |; 103 &)
% ( 3 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 163 ( 6 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(t12_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
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/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
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/benchmark/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/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(t11_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v15_lattices(X2)
& v16_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6
& r2_lattices(X1,X3,X4) )
=> r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(dt_k7_lattices,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(d21_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k7_lattices(X1,X2)
<=> r2_lattices(X1,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattices) ).
fof(c_0_12,plain,
! [X53,X54,X55] :
( ( ~ m2_relset_1(X55,X53,X54)
| m1_relset_1(X55,X53,X54) )
& ( ~ m1_relset_1(X55,X53,X54)
| m2_relset_1(X55,X53,X54) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_13,plain,
! [X32] :
( ( v1_funct_1(u2_lattices(X32))
| ~ l2_lattices(X32) )
& ( v1_funct_2(u2_lattices(X32),k2_zfmisc_1(u1_struct_0(X32),u1_struct_0(X32)),u1_struct_0(X32))
| ~ l2_lattices(X32) )
& ( m2_relset_1(u2_lattices(X32),k2_zfmisc_1(u1_struct_0(X32),u1_struct_0(X32)),u1_struct_0(X32))
| ~ l2_lattices(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
fof(c_0_14,plain,
! [X31] :
( ( v1_funct_1(u1_lattices(X31))
| ~ l1_lattices(X31) )
& ( v1_funct_2(u1_lattices(X31),k2_zfmisc_1(u1_struct_0(X31),u1_struct_0(X31)),u1_struct_0(X31))
| ~ l1_lattices(X31) )
& ( m2_relset_1(u1_lattices(X31),k2_zfmisc_1(u1_struct_0(X31),u1_struct_0(X31)),u1_struct_0(X31))
| ~ l1_lattices(X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_filter_2])]) ).
fof(c_0_16,plain,
! [X73] :
( ( l1_lattices(X73)
| ~ l3_lattices(X73) )
& ( l2_lattices(X73)
| ~ l3_lattices(X73) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
cnf(c_0_17,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X19,X20,X21] :
( ( v3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) )
& ( l3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])]) ).
fof(c_0_21,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& v10_lattices(esk2_0)
& v17_lattices(esk2_0)
& l3_lattices(esk2_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& esk3_0 = esk4_0
& k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_22,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( X25 = X28
| g3_lattices(X25,X26,X27) != g3_lattices(X28,X29,X30)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X26,k2_zfmisc_1(X25,X25),X25)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X27,k2_zfmisc_1(X25,X25),X25) )
& ( X26 = X29
| g3_lattices(X25,X26,X27) != g3_lattices(X28,X29,X30)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X26,k2_zfmisc_1(X25,X25),X25)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X27,k2_zfmisc_1(X25,X25),X25) )
& ( X27 = X30
| g3_lattices(X25,X26,X27) != g3_lattices(X28,X29,X30)
| ~ v1_funct_1(X26)
| ~ v1_funct_2(X26,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X26,k2_zfmisc_1(X25,X25),X25)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,k2_zfmisc_1(X25,X25),X25)
| ~ m1_relset_1(X27,k2_zfmisc_1(X25,X25),X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])]) ).
fof(c_0_23,plain,
! [X18] :
( ~ l3_lattices(X18)
| ~ v3_lattices(X18)
| X18 = g3_lattices(u1_struct_0(X18),u2_lattices(X18),u1_lattices(X18)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_24,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_31,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_32,plain,
( v3_lattices(g3_lattices(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) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( l3_lattices(g3_lattices(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) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_38,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_39,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_40,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_41,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_42,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_43,negated_conjecture,
( v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_46,plain,
( u2_lattices(g3_lattices(X1,X2,X3)) = X2
| ~ v3_lattices(g3_lattices(X1,X2,X3))
| ~ l3_lattices(g3_lattices(X1,X2,X3)) ),
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(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36])]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_44])]) ).
cnf(c_0_48,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
( u2_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) = u2_lattices(esk2_0)
| ~ v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_44])]) ).
cnf(c_0_51,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u1_lattices(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_44])]) ).
cnf(c_0_52,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_38]),c_0_44])]) ).
cnf(c_0_54,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_44])]) ).
cnf(c_0_55,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_39]),c_0_44])]) ).
cnf(c_0_57,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_44])]) ).
cnf(c_0_58,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_37]),c_0_44])]) ).
cnf(c_0_59,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_60,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_44])]) ).
cnf(c_0_61,negated_conjecture,
v1_funct_1(u2_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_44])]) ).
cnf(c_0_62,plain,
( u1_struct_0(g3_lattices(X1,X2,X3)) = X1
| ~ v3_lattices(g3_lattices(X1,X2,X3))
| ~ l3_lattices(g3_lattices(X1,X2,X3)) ),
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(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_36])]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_63,negated_conjecture,
( v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_58]),c_0_58]),c_0_58]),c_0_60]),c_0_61])]) ).
cnf(c_0_64,negated_conjecture,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_58]),c_0_44])]) ).
fof(c_0_65,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v15_lattices(X2)
& v16_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6
& r2_lattices(X1,X3,X4) )
=> r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_filter_2]) ).
fof(c_0_66,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_67,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k7_lattices]) ).
cnf(c_0_68,negated_conjecture,
( u1_struct_0(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) = u1_struct_0(esk2_0)
| ~ v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_33]) ).
cnf(c_0_69,negated_conjecture,
v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
fof(c_0_70,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k7_lattices(X1,X2)
<=> r2_lattices(X1,X3,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d21_lattices]) ).
cnf(c_0_71,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_72,plain,
! [X40,X41,X42,X43,X44,X45] :
( v3_struct_0(X40)
| ~ v10_lattices(X40)
| ~ v15_lattices(X40)
| ~ v16_lattices(X40)
| ~ l3_lattices(X40)
| v3_struct_0(X41)
| ~ v10_lattices(X41)
| ~ v15_lattices(X41)
| ~ v16_lattices(X41)
| ~ l3_lattices(X41)
| g3_lattices(u1_struct_0(X40),u2_lattices(X40),u1_lattices(X40)) != g3_lattices(u1_struct_0(X41),u2_lattices(X41),u1_lattices(X41))
| ~ m1_subset_1(X42,u1_struct_0(X40))
| ~ m1_subset_1(X43,u1_struct_0(X40))
| ~ m1_subset_1(X44,u1_struct_0(X41))
| ~ m1_subset_1(X45,u1_struct_0(X41))
| X42 != X44
| X43 != X45
| ~ r2_lattices(X40,X42,X43)
| r2_lattices(X41,X44,X45) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
fof(c_0_73,plain,
! [X34] :
( ( ~ v3_struct_0(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) )
& ( v11_lattices(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) )
& ( v13_lattices(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) )
& ( v14_lattices(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) )
& ( v15_lattices(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) )
& ( v16_lattices(X34)
| v3_struct_0(X34)
| ~ v17_lattices(X34)
| ~ l3_lattices(X34) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_74,plain,
! [X14,X15] :
( v3_struct_0(X14)
| ~ l3_lattices(X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| m1_subset_1(k7_lattices(X14,X15),u1_struct_0(X14)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
cnf(c_0_75,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_76,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77,negated_conjecture,
( u1_struct_0(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) = u1_struct_0(esk2_0)
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_78,negated_conjecture,
( u1_struct_0(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) = u1_struct_0(esk1_0)
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_69]) ).
fof(c_0_79,plain,
! [X11,X12,X13] :
( ( X13 != k7_lattices(X11,X12)
| r2_lattices(X11,X13,X12)
| ~ m1_subset_1(X13,u1_struct_0(X11))
| v3_struct_0(X11)
| ~ v10_lattices(X11)
| ~ v11_lattices(X11)
| ~ v16_lattices(X11)
| ~ l3_lattices(X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| v3_struct_0(X11)
| ~ l3_lattices(X11) )
& ( ~ r2_lattices(X11,X13,X12)
| X13 = k7_lattices(X11,X12)
| ~ m1_subset_1(X13,u1_struct_0(X11))
| v3_struct_0(X11)
| ~ v10_lattices(X11)
| ~ v11_lattices(X11)
| ~ v16_lattices(X11)
| ~ l3_lattices(X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| v3_struct_0(X11)
| ~ l3_lattices(X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])]) ).
cnf(c_0_80,plain,
( u1_lattices(g3_lattices(X1,X2,X3)) = X3
| ~ v3_lattices(g3_lattices(X1,X2,X3))
| ~ l3_lattices(g3_lattices(X1,X2,X3)) ),
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(er,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_36])]),c_0_38]),c_0_37]),c_0_40]),c_0_39]),c_0_42]),c_0_41]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r2_lattices(X2,X5,X6)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X3 != X5
| X4 != X6
| ~ r2_lattices(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_84,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_85,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_86,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_89,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_90,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,negated_conjecture,
l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(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)],[c_0_54,c_0_58]),c_0_58]),c_0_58]),c_0_64]),c_0_60]),c_0_61])]) ).
cnf(c_0_92,plain,
( r2_lattices(X2,X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X2)
| X1 != k7_lattices(X2,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_93,negated_conjecture,
( u1_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) = u1_lattices(esk2_0)
| ~ v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_80,c_0_33]) ).
cnf(c_0_94,plain,
( r2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X4)
| g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ r2_lattices(X4,X2,X3)
| ~ v16_lattices(X1)
| ~ v16_lattices(X4)
| ~ v15_lattices(X1)
| ~ v15_lattices(X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| ~ v10_lattices(X1)
| ~ v10_lattices(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_81])]) ).
cnf(c_0_95,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_96,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_97,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_98,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_99,negated_conjecture,
m1_subset_1(k7_lattices(esk2_0,esk3_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_44])]),c_0_89]) ).
cnf(c_0_100,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_101,plain,
( v3_struct_0(X2)
| r2_lattices(X2,X1,X3)
| X1 != k7_lattices(X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v11_lattices(X2)
| ~ v16_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(cn,[status(thm)],[c_0_92]) ).
cnf(c_0_102,negated_conjecture,
v17_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_103,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_104,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ v3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)))
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_80,c_0_93]) ).
cnf(c_0_105,plain,
( X2 = k7_lattices(X1,X3)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r2_lattices(X1,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_106,negated_conjecture,
( r2_lattices(esk1_0,X1,esk3_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r2_lattices(X2,X1,esk3_0)
| ~ v16_lattices(X2)
| ~ v15_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
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(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]),c_0_83]),c_0_98])]),c_0_85]) ).
cnf(c_0_107,negated_conjecture,
m1_subset_1(k7_lattices(esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,plain,
( r2_lattices(X1,k7_lattices(X1,X2),X2)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_101]),c_0_87]) ).
cnf(c_0_109,negated_conjecture,
v16_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_44]),c_0_102])]),c_0_89]) ).
cnf(c_0_110,negated_conjecture,
v11_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_44]),c_0_102])]),c_0_89]) ).
cnf(c_0_111,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_112,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ l3_lattices(g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_69])]) ).
cnf(c_0_113,plain,
( X2 = k7_lattices(X1,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v16_lattices(X1)
| ~ r2_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_105]) ).
cnf(c_0_114,negated_conjecture,
v11_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_115,negated_conjecture,
( r2_lattices(esk1_0,k7_lattices(esk2_0,esk3_0),esk3_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r2_lattices(X1,k7_lattices(esk2_0,esk3_0),esk3_0)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ m1_subset_1(k7_lattices(esk2_0,esk3_0),u1_struct_0(X1))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( r2_lattices(esk2_0,k7_lattices(esk2_0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(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(spm,[status(thm)],[c_0_108,c_0_100]),c_0_109]),c_0_110]),c_0_44]),c_0_111])]),c_0_89]) ).
cnf(c_0_117,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_91])]) ).
cnf(c_0_118,negated_conjecture,
v15_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_44]),c_0_102])]),c_0_89]) ).
cnf(c_0_119,negated_conjecture,
k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_120,negated_conjecture,
( X1 = k7_lattices(esk1_0,esk3_0)
| ~ r2_lattices(esk1_0,X1,esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(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(spm,[status(thm)],[c_0_113,c_0_95]),c_0_96]),c_0_114]),c_0_83]),c_0_98])]),c_0_85]) ).
cnf(c_0_121,negated_conjecture,
r2_lattices(esk1_0,k7_lattices(esk2_0,esk3_0),esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_100]),c_0_58]),c_0_117]),c_0_109]),c_0_118]),c_0_100]),c_0_107]),c_0_100]),c_0_95]),c_0_44]),c_0_111]),c_0_95])]),c_0_89]) ).
cnf(c_0_122,negated_conjecture,
k7_lattices(esk2_0,esk3_0) != k7_lattices(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_119,c_0_76]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_107])]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT296+1 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.12/0.31 % Computer : n024.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun May 19 20:00:22 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.53/1.13 # Version: 3.1.0
% 5.53/1.13 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.53/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.53/1.13 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.53/1.13 # Starting new_bool_3 with 300s (1) cores
% 5.53/1.13 # Starting new_bool_1 with 300s (1) cores
% 5.53/1.13 # Starting sh5l with 300s (1) cores
% 5.53/1.13 # new_bool_1 with pid 26757 completed with status 0
% 5.53/1.13 # Result found by new_bool_1
% 5.53/1.13 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.53/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.53/1.13 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.53/1.13 # Starting new_bool_3 with 300s (1) cores
% 5.53/1.13 # Starting new_bool_1 with 300s (1) cores
% 5.53/1.13 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.53/1.13 # Search class: FGHSM-FFMM31-SFFFFFNN
% 5.53/1.13 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 5.53/1.13 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 5.53/1.13 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 26761 completed with status 0
% 5.53/1.13 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.53/1.13 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.53/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.53/1.13 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.53/1.13 # Starting new_bool_3 with 300s (1) cores
% 5.53/1.13 # Starting new_bool_1 with 300s (1) cores
% 5.53/1.13 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.53/1.13 # Search class: FGHSM-FFMM31-SFFFFFNN
% 5.53/1.13 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 5.53/1.13 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 5.53/1.13 # Preprocessing time : 0.002 s
% 5.53/1.13 # Presaturation interreduction done
% 5.53/1.13
% 5.53/1.13 # Proof found!
% 5.53/1.13 # SZS status Theorem
% 5.53/1.13 # SZS output start CNFRefutation
% See solution above
% 5.53/1.13 # Parsed axioms : 73
% 5.53/1.13 # Removed by relevancy pruning/SinE : 23
% 5.53/1.13 # Initial clauses : 148
% 5.53/1.13 # Removed in clause preprocessing : 6
% 5.53/1.13 # Initial clauses in saturation : 142
% 5.53/1.13 # Processed clauses : 3840
% 5.53/1.13 # ...of these trivial : 134
% 5.53/1.13 # ...subsumed : 1493
% 5.53/1.13 # ...remaining for further processing : 2213
% 5.53/1.13 # Other redundant clauses eliminated : 15
% 5.53/1.13 # Clauses deleted for lack of memory : 0
% 5.53/1.13 # Backward-subsumed : 140
% 5.53/1.13 # Backward-rewritten : 469
% 5.53/1.13 # Generated clauses : 9131
% 5.53/1.13 # ...of the previous two non-redundant : 8449
% 5.53/1.13 # ...aggressively subsumed : 0
% 5.53/1.13 # Contextual simplify-reflections : 468
% 5.53/1.14 # Paramodulations : 9107
% 5.53/1.14 # Factorizations : 0
% 5.53/1.14 # NegExts : 0
% 5.53/1.14 # Equation resolutions : 24
% 5.53/1.14 # Disequality decompositions : 0
% 5.53/1.14 # Total rewrite steps : 13055
% 5.53/1.14 # ...of those cached : 12805
% 5.53/1.14 # Propositional unsat checks : 0
% 5.53/1.14 # Propositional check models : 0
% 5.53/1.14 # Propositional check unsatisfiable : 0
% 5.53/1.14 # Propositional clauses : 0
% 5.53/1.14 # Propositional clauses after purity: 0
% 5.53/1.14 # Propositional unsat core size : 0
% 5.53/1.14 # Propositional preprocessing time : 0.000
% 5.53/1.14 # Propositional encoding time : 0.000
% 5.53/1.14 # Propositional solver time : 0.000
% 5.53/1.14 # Success case prop preproc time : 0.000
% 5.53/1.14 # Success case prop encoding time : 0.000
% 5.53/1.14 # Success case prop solver time : 0.000
% 5.53/1.14 # Current number of processed clauses : 1460
% 5.53/1.14 # Positive orientable unit clauses : 521
% 5.53/1.14 # Positive unorientable unit clauses: 0
% 5.53/1.14 # Negative unit clauses : 15
% 5.53/1.14 # Non-unit-clauses : 924
% 5.53/1.14 # Current number of unprocessed clauses: 4766
% 5.53/1.14 # ...number of literals in the above : 39499
% 5.53/1.14 # Current number of archived formulas : 0
% 5.53/1.14 # Current number of archived clauses : 751
% 5.53/1.14 # Clause-clause subsumption calls (NU) : 747984
% 5.53/1.14 # Rec. Clause-clause subsumption calls : 83940
% 5.53/1.14 # Non-unit clause-clause subsumptions : 2029
% 5.53/1.14 # Unit Clause-clause subsumption calls : 3840
% 5.53/1.14 # Rewrite failures with RHS unbound : 0
% 5.53/1.14 # BW rewrite match attempts : 17243
% 5.53/1.14 # BW rewrite match successes : 27
% 5.53/1.14 # Condensation attempts : 0
% 5.53/1.14 # Condensation successes : 0
% 5.53/1.14 # Termbank termtop insertions : 714884
% 5.53/1.14 # Search garbage collected termcells : 1610
% 5.53/1.14
% 5.53/1.14 # -------------------------------------------------
% 5.53/1.14 # User time : 0.664 s
% 5.53/1.14 # System time : 0.017 s
% 5.53/1.14 # Total time : 0.681 s
% 5.53/1.14 # Maximum resident set size: 2172 pages
% 5.53/1.14
% 5.53/1.14 # -------------------------------------------------
% 5.53/1.14 # User time : 0.666 s
% 5.53/1.14 # System time : 0.020 s
% 5.53/1.14 # Total time : 0.686 s
% 5.53/1.14 # Maximum resident set size: 1772 pages
% 5.53/1.14 % E---3.1 exiting
% 5.53/1.14 % E exiting
%------------------------------------------------------------------------------