TSTP Solution File: LAT332+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT332+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 23:27:01 EDT 2024
% Result : Theorem 3.83s 0.96s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 35
% Syntax : Number of formulae : 219 ( 76 unt; 0 def)
% Number of atoms : 952 ( 146 equ)
% Maximal formula atoms : 88 ( 4 avg)
% Number of connectives : 1148 ( 415 ~; 456 |; 209 &)
% ( 5 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 2 con; 0-3 aty)
% Number of variables : 269 ( 21 sgn 143 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(t72_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).
fof(dt_k17_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(dt_k23_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(dt_m2_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(fc5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(d16_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ! [X3] :
( m2_nat_lat(X3,X1)
=> ( X3 = k23_filter_2(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_filter_2) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_u1_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/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(existence_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_0) ).
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/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(fc4_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(t97_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> k7_relat_1(X2,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_relat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(fc2_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(redefinition_k1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> ( v1_funct_2(X3,X1,X2)
<=> X1 = k4_relset_1(X1,X2,X3) ) )
& ( X2 = k1_xboole_0
=> ( X1 = k1_xboole_0
| ( v1_funct_2(X3,X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(d3_realset1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] : k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_realset1) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t72_filter_2])]) ).
fof(c_0_37,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k17_filter_2]) ).
fof(c_0_38,plain,
! [X31] :
( v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31)
| k17_filter_2(X31) = u1_struct_0(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_39,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_40,plain,
! [X51] :
( ( l1_lattices(X51)
| ~ l3_lattices(X51) )
& ( l2_lattices(X51)
| ~ l3_lattices(X51) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_42,plain,
! [X35] :
( v3_struct_0(X35)
| ~ v10_lattices(X35)
| ~ l3_lattices(X35)
| m2_filter_2(k17_filter_2(X35),X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_48,plain,
! [X49] :
( ~ l1_lattices(X49)
| l1_struct_0(X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
cnf(c_0_49,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_50,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k23_filter_2]) ).
fof(c_0_51,plain,
! [X56,X57] :
( ( ~ v1_xboole_0(X57)
| ~ m2_filter_2(X57,X56)
| v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56) )
& ( m2_lattice4(X57,X56)
| ~ m2_filter_2(X57,X56)
| v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56) ) ),
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_41])])])])]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_54,plain,
! [X91] :
( v3_struct_0(X91)
| ~ l1_struct_0(X91)
| ~ v1_xboole_0(u1_struct_0(X91)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_55,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
fof(c_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).
fof(c_0_58,plain,
! [X38,X39] :
( v3_struct_0(X38)
| ~ v10_lattices(X38)
| ~ l3_lattices(X38)
| v1_xboole_0(X39)
| ~ m2_lattice4(X39,X38)
| m2_nat_lat(k23_filter_2(X38,X39),X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
cnf(c_0_59,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_45])]),c_0_46]),c_0_53]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,plain,
! [X60,X61] :
( ( ~ v3_struct_0(X61)
| ~ m2_nat_lat(X61,X60)
| v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60) )
& ( v10_lattices(X61)
| ~ m2_nat_lat(X61,X60)
| v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60) )
& ( l3_lattices(X61)
| ~ m2_nat_lat(X61,X60)
| v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60) ) ),
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_57])])])])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_nat_lat(k23_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,negated_conjecture,
m2_lattice4(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_45]),c_0_44])]),c_0_46]) ).
cnf(c_0_66,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_46]) ).
fof(c_0_67,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).
cnf(c_0_68,plain,
( l3_lattices(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
m2_nat_lat(k23_filter_2(esk1_0,u1_struct_0(esk1_0)),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
fof(c_0_70,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ! [X3] :
( m2_nat_lat(X3,X1)
=> ( X3 = k23_filter_2(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_filter_2]) ).
fof(c_0_71,plain,
! [X105,X106] :
( ( ~ v3_struct_0(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v3_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v4_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v5_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v6_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v7_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v8_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v9_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) )
& ( v10_lattices(k23_filter_2(X105,X106))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105)
| v1_xboole_0(X106)
| ~ m2_lattice4(X106,X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
fof(c_0_72,plain,
! [X66] :
( ( v1_funct_1(u2_lattices(X66))
| ~ l2_lattices(X66) )
& ( v1_funct_2(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66))
| ~ l2_lattices(X66) )
& ( m2_relset_1(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66))
| ~ l2_lattices(X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
cnf(c_0_73,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,negated_conjecture,
l3_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_45]),c_0_44])]),c_0_46]) ).
fof(c_0_75,plain,
! [X65] :
( ( v1_funct_1(u1_lattices(X65))
| ~ l1_lattices(X65) )
& ( v1_funct_2(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65))
| ~ l1_lattices(X65) )
& ( m2_relset_1(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65))
| ~ l1_lattices(X65) ) ),
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_76,plain,
! [X18,X19,X20,X23,X24] :
( ( v1_funct_1(esk2_3(X18,X19,X20))
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v1_funct_2(esk2_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( m2_relset_1(esk2_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v1_funct_1(esk3_3(X18,X19,X20))
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v1_funct_2(esk3_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( m2_relset_1(esk3_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( esk2_3(X18,X19,X20) = k1_realset1(u2_lattices(X18),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( esk3_3(X18,X19,X20) = k1_realset1(u1_lattices(X18),X19)
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( X20 = g3_lattices(X19,esk2_3(X18,X19,X20),esk3_3(X18,X19,X20))
| X20 != k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( ~ v1_funct_1(X23)
| ~ v1_funct_2(X23,k2_zfmisc_1(X19,X19),X19)
| ~ m2_relset_1(X23,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X24)
| ~ v1_funct_2(X24,k2_zfmisc_1(X19,X19),X19)
| ~ m2_relset_1(X24,k2_zfmisc_1(X19,X19),X19)
| X23 != k1_realset1(u2_lattices(X18),X19)
| X24 != k1_realset1(u1_lattices(X18),X19)
| X20 != g3_lattices(X19,X23,X24)
| X20 = k23_filter_2(X18,X19)
| ~ m2_nat_lat(X20,X18)
| v1_xboole_0(X19)
| ~ m2_lattice4(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])])]) ).
fof(c_0_77,plain,
! [X8] :
( ~ l3_lattices(X8)
| ~ v3_lattices(X8)
| X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_78,plain,
( v3_lattices(k23_filter_2(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_79,plain,
! [X143,X144,X145] :
( ( ~ m2_relset_1(X145,X143,X144)
| m1_relset_1(X145,X143,X144) )
& ( ~ m1_relset_1(X145,X143,X144)
| m2_relset_1(X145,X143,X144) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_80,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_72]) ).
cnf(c_0_81,negated_conjecture,
l2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,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_75]) ).
cnf(c_0_83,negated_conjecture,
l1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_49,c_0_74]) ).
cnf(c_0_84,plain,
( esk2_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| X3 != k23_filter_2(X1,X2)
| ~ m2_nat_lat(X3,X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_85,plain,
( esk3_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| X3 != k23_filter_2(X1,X2)
| ~ m2_nat_lat(X3,X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_86,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
inference(fof_simplification,[status(thm)],[existence_m1_filter_0]) ).
fof(c_0_87,plain,
! [X108,X109,X110,X111,X112,X113] :
( ( X108 = X111
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108) )
& ( X109 = X112
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108) )
& ( X110 = X113
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108) ) ),
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])])])])]) ).
cnf(c_0_88,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_77]) ).
cnf(c_0_89,negated_conjecture,
v3_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_65]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
cnf(c_0_90,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_91,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_92,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_93,negated_conjecture,
m2_relset_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_94,negated_conjecture,
m2_relset_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_95,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_72]) ).
cnf(c_0_96,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_75]) ).
cnf(c_0_97,plain,
( X1 = g3_lattices(X2,esk2_3(X3,X2,X1),esk3_3(X3,X2,X1))
| v1_xboole_0(X2)
| v3_struct_0(X3)
| X1 != k23_filter_2(X3,X2)
| ~ m2_nat_lat(X1,X3)
| ~ m2_lattice4(X2,X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_98,plain,
( esk2_3(X1,X2,k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_64]) ).
cnf(c_0_99,plain,
( esk3_3(X1,X2,k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_85]),c_0_64]) ).
fof(c_0_100,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_101,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_102,plain,
! [X71] :
( v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71)
| m1_filter_0(esk8_1(X71),X71) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])]) ).
cnf(c_0_103,plain,
( v10_lattices(k23_filter_2(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_104,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_105,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_87]) ).
cnf(c_0_106,negated_conjecture,
g3_lattices(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_74])]) ).
cnf(c_0_107,negated_conjecture,
v1_funct_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_90,c_0_81]) ).
cnf(c_0_108,negated_conjecture,
v1_funct_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_91,c_0_83]) ).
cnf(c_0_109,negated_conjecture,
m1_relset_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_110,negated_conjecture,
m1_relset_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_92,c_0_94]) ).
cnf(c_0_111,negated_conjecture,
v1_funct_2(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_95,c_0_81]) ).
cnf(c_0_112,negated_conjecture,
v1_funct_2(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_96,c_0_83]) ).
cnf(c_0_113,plain,
( g3_lattices(X1,esk2_3(X2,X1,k23_filter_2(X2,X1)),esk3_3(X2,X1,k23_filter_2(X2,X1))) = k23_filter_2(X2,X1)
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_97]),c_0_64]) ).
cnf(c_0_114,negated_conjecture,
esk2_3(esk1_0,u1_struct_0(esk1_0),k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_65]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
cnf(c_0_115,negated_conjecture,
esk3_3(esk1_0,u1_struct_0(esk1_0),k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_65]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
fof(c_0_116,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lattice2]) ).
fof(c_0_117,plain,
! [X12] :
( ( ~ v3_struct_0(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v4_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v5_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v6_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v7_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v8_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( v9_lattices(X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])]) ).
fof(c_0_118,plain,
! [X52,X53] :
( ( ~ v1_xboole_0(X53)
| ~ m1_filter_0(X53,X52)
| v3_struct_0(X52)
| ~ v10_lattices(X52)
| ~ l3_lattices(X52) )
& ( m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(X52)))
| ~ m1_filter_0(X53,X52)
| v3_struct_0(X52)
| ~ v10_lattices(X52)
| ~ l3_lattices(X52) ) ),
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_101])])])])]) ).
cnf(c_0_119,plain,
( v3_struct_0(X1)
| m1_filter_0(esk8_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_120,negated_conjecture,
v10_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_65]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
cnf(c_0_121,negated_conjecture,
~ v3_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_69]),c_0_45]),c_0_44])]),c_0_46]) ).
cnf(c_0_122,negated_conjecture,
( u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1
| g3_lattices(X2,X3,X1) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108])]),c_0_109]),c_0_110]),c_0_111]),c_0_112])]) ).
cnf(c_0_123,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_65]),c_0_114]),c_0_115]),c_0_45]),c_0_44])]),c_0_66]),c_0_46]) ).
fof(c_0_124,plain,
! [X173,X174] :
( ~ v1_relat_1(X174)
| ~ r1_tarski(k1_relat_1(X174),X173)
| k7_relat_1(X174,X173) = X174 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t97_relat_1])])]) ).
fof(c_0_125,plain,
! [X152] : r1_tarski(X152,X152),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_126,plain,
! [X102] :
( ( v1_relat_1(u1_lattices(X102))
| v3_struct_0(X102)
| ~ v6_lattices(X102)
| ~ l1_lattices(X102) )
& ( v1_funct_1(u1_lattices(X102))
| v3_struct_0(X102)
| ~ v6_lattices(X102)
| ~ l1_lattices(X102) )
& ( v1_funct_2(u1_lattices(X102),k2_zfmisc_1(u1_struct_0(X102),u1_struct_0(X102)),u1_struct_0(X102))
| v3_struct_0(X102)
| ~ v6_lattices(X102)
| ~ l1_lattices(X102) )
& ( v1_binop_1(u1_lattices(X102),u1_struct_0(X102))
| v3_struct_0(X102)
| ~ v6_lattices(X102)
| ~ l1_lattices(X102) )
& ( v1_partfun1(u1_lattices(X102),k2_zfmisc_1(u1_struct_0(X102),u1_struct_0(X102)),u1_struct_0(X102))
| v3_struct_0(X102)
| ~ v6_lattices(X102)
| ~ l1_lattices(X102) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])]) ).
cnf(c_0_127,plain,
( v6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
fof(c_0_128,plain,
! [X134,X135,X136] :
( ~ m1_relset_1(X136,X134,X135)
| k4_relset_1(X134,X135,X136) = k1_relat_1(X136) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).
cnf(c_0_129,negated_conjecture,
m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_82,c_0_56]) ).
fof(c_0_130,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_lattice2]) ).
cnf(c_0_131,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_73,c_0_45]) ).
fof(c_0_132,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_filter_2]) ).
fof(c_0_133,plain,
! [X162,X163,X164] :
( ~ r2_hidden(X162,X163)
| ~ m1_subset_1(X163,k1_zfmisc_1(X164))
| m1_subset_1(X162,X164) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_134,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_135,negated_conjecture,
m1_filter_0(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_74])]),c_0_121]) ).
fof(c_0_136,plain,
! [X158,X159] :
( ~ m1_subset_1(X158,X159)
| v1_xboole_0(X159)
| r2_hidden(X158,X159) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_137,plain,
! [X78] : m1_subset_1(esk11_1(X78),X78),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_138,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_87]) ).
cnf(c_0_139,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_140,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_141,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_142,plain,
( v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_143,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_144,plain,
! [X25,X26,X27] :
( ( ~ v1_funct_2(X27,X25,X26)
| X25 = k4_relset_1(X25,X26,X27)
| X26 = k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) )
& ( X25 != k4_relset_1(X25,X26,X27)
| v1_funct_2(X27,X25,X26)
| X26 = k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) )
& ( ~ v1_funct_2(X27,X25,X26)
| X25 = k4_relset_1(X25,X26,X27)
| X25 != k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) )
& ( X25 != k4_relset_1(X25,X26,X27)
| v1_funct_2(X27,X25,X26)
| X25 != k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) )
& ( ~ v1_funct_2(X27,X25,X26)
| X27 = k1_xboole_0
| X25 = k1_xboole_0
| X26 != k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) )
& ( X27 != k1_xboole_0
| v1_funct_2(X27,X25,X26)
| X25 = k1_xboole_0
| X26 != k1_xboole_0
| ~ m2_relset_1(X27,X25,X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])]) ).
cnf(c_0_145,plain,
( k4_relset_1(X2,X3,X1) = k1_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_146,negated_conjecture,
m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_92,c_0_129]) ).
fof(c_0_147,plain,
! [X29,X30] :
( ~ v1_relat_1(X29)
| k1_realset1(X29,X30) = k7_relat_1(X29,k2_zfmisc_1(X30,X30)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_realset1])])])]) ).
fof(c_0_148,plain,
! [X93] :
( ( v1_relat_1(u2_lattices(X93))
| v3_struct_0(X93)
| ~ v4_lattices(X93)
| ~ l2_lattices(X93) )
& ( v1_funct_1(u2_lattices(X93))
| v3_struct_0(X93)
| ~ v4_lattices(X93)
| ~ l2_lattices(X93) )
& ( v1_funct_2(u2_lattices(X93),k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93)),u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v4_lattices(X93)
| ~ l2_lattices(X93) )
& ( v1_binop_1(u2_lattices(X93),u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v4_lattices(X93)
| ~ l2_lattices(X93) )
& ( v1_partfun1(u2_lattices(X93),k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93)),u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v4_lattices(X93)
| ~ l2_lattices(X93) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])]) ).
cnf(c_0_149,plain,
( v4_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_150,negated_conjecture,
m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_80,c_0_131]) ).
fof(c_0_151,plain,
! [X133] :
( v3_struct_0(X133)
| ~ v10_lattices(X133)
| ~ l3_lattices(X133)
| k1_filter_2(X133) = k1_filter_0(X133) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])]) ).
fof(c_0_152,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_153,plain,
! [X165,X166,X167] :
( ~ r2_hidden(X165,X166)
| ~ m1_subset_1(X166,k1_zfmisc_1(X167))
| ~ v1_xboole_0(X167) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
cnf(c_0_154,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_155,negated_conjecture,
m1_subset_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k1_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_74]),c_0_120])]),c_0_121]) ).
cnf(c_0_156,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_157,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_158,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_159,negated_conjecture,
( u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1
| g3_lattices(X2,X1,X3) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_106]),c_0_108]),c_0_107])]),c_0_110]),c_0_109]),c_0_112]),c_0_111])]) ).
cnf(c_0_160,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_123,c_0_139]) ).
cnf(c_0_161,plain,
( k7_relat_1(X1,k1_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_162,negated_conjecture,
v1_relat_1(u1_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_56])]),c_0_46]) ).
cnf(c_0_163,plain,
( X2 = k4_relset_1(X2,X3,X1)
| X3 = k1_xboole_0
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_164,negated_conjecture,
v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_96,c_0_56]) ).
cnf(c_0_165,negated_conjecture,
k4_relset_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_lattices(esk1_0)) = k1_relat_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_166,plain,
( k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_167,plain,
( v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_168,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_169,negated_conjecture,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_92,c_0_150]) ).
cnf(c_0_170,plain,
( v3_struct_0(X1)
| k1_filter_2(X1) = k1_filter_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
fof(c_0_171,plain,
! [X28] :
( v3_struct_0(X28)
| ~ v10_lattices(X28)
| ~ l3_lattices(X28)
| k1_filter_0(X28) = u1_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])]) ).
fof(c_0_172,plain,
! [X123] :
( m1_subset_1(esk22_1(X123),k1_zfmisc_1(X123))
& v1_xboole_0(esk22_1(X123)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_173,plain,
! [X168] :
( ~ v1_xboole_0(X168)
| X168 = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
cnf(c_0_174,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_175,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))))
| ~ r2_hidden(X1,esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_176,plain,
( v1_xboole_0(X1)
| r2_hidden(esk11_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_177,negated_conjecture,
~ v1_xboole_0(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_135]),c_0_74]),c_0_120])]),c_0_121]) ).
cnf(c_0_178,negated_conjecture,
l1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_55,c_0_83]) ).
cnf(c_0_179,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_87]) ).
cnf(c_0_180,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_181,negated_conjecture,
k7_relat_1(u1_lattices(esk1_0),k1_relat_1(u1_lattices(esk1_0))) = u1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_182,negated_conjecture,
( k1_relat_1(u1_lattices(esk1_0)) = k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_129]),c_0_164])]),c_0_165]) ).
cnf(c_0_183,negated_conjecture,
k7_relat_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1)) = k1_realset1(u1_lattices(esk1_0),X1),
inference(spm,[status(thm)],[c_0_166,c_0_162]) ).
cnf(c_0_184,negated_conjecture,
v1_relat_1(u2_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_131])]),c_0_46]) ).
cnf(c_0_185,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_95,c_0_131]) ).
cnf(c_0_186,negated_conjecture,
k4_relset_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u2_lattices(esk1_0)) = k1_relat_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_145,c_0_169]) ).
cnf(c_0_187,negated_conjecture,
( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_188,negated_conjecture,
k1_filter_2(esk1_0) = k1_filter_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_189,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_190,plain,
m1_subset_1(esk22_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_191,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_192,plain,
v1_xboole_0(esk22_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_193,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk11_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_174,c_0_157]) ).
cnf(c_0_194,negated_conjecture,
m1_subset_1(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_195,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_178]),c_0_121]) ).
cnf(c_0_196,negated_conjecture,
( u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1
| g3_lattices(X1,X2,X3) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_106]),c_0_108]),c_0_107])]),c_0_110]),c_0_109]),c_0_112]),c_0_111])]) ).
cnf(c_0_197,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_160,c_0_180]) ).
cnf(c_0_198,negated_conjecture,
( u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0)
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_139]) ).
cnf(c_0_199,negated_conjecture,
k7_relat_1(u2_lattices(esk1_0),k1_relat_1(u2_lattices(esk1_0))) = u2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_161,c_0_184]) ).
cnf(c_0_200,negated_conjecture,
( k1_relat_1(u2_lattices(esk1_0)) = k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_150]),c_0_185])]),c_0_186]) ).
cnf(c_0_201,negated_conjecture,
k7_relat_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1)) = k1_realset1(u2_lattices(esk1_0),X1),
inference(spm,[status(thm)],[c_0_166,c_0_184]) ).
cnf(c_0_202,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k1_filter_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_53]),c_0_188]) ).
cnf(c_0_203,negated_conjecture,
k1_filter_0(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_204,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk22_1(X1)) ),
inference(spm,[status(thm)],[c_0_174,c_0_190]) ).
cnf(c_0_205,plain,
esk22_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_206,plain,
( v1_xboole_0(esk11_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_176]) ).
cnf(c_0_207,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_208,negated_conjecture,
r2_hidden(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_194]),c_0_195]) ).
cnf(c_0_209,negated_conjecture,
u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_210,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(esk1_0)) = k23_filter_2(esk1_0,u1_struct_0(esk1_0))
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_211,negated_conjecture,
( u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(esk1_0)
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_180]) ).
cnf(c_0_212,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203])]) ).
cnf(c_0_213,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k1_xboole_0) ),
inference(rw,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_214,plain,
v1_xboole_0(esk11_1(k1_zfmisc_1(k1_xboole_0))),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,negated_conjecture,
r2_hidden(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_216,negated_conjecture,
u1_struct_0(esk1_0) = k1_xboole_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).
cnf(c_0_217,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_218,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216]),c_0_216]),c_0_217]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT332+1 : TPTP v8.2.0. Released v3.4.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 19:36:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.50 Running first-order model finding
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.83/0.96 # Version: 3.1.0
% 3.83/0.96 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/0.96 # Starting new_bool_3 with 300s (1) cores
% 3.83/0.96 # Starting new_bool_1 with 300s (1) cores
% 3.83/0.96 # Starting sh5l with 300s (1) cores
% 3.83/0.96 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 20033 completed with status 0
% 3.83/0.96 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.83/0.96 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/0.96 # No SInE strategy applied
% 3.83/0.96 # Search class: FGHSM-FSLM31-SFFFFFNN
% 3.83/0.96 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/0.96 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 3.83/0.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.83/0.96 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 3.83/0.96 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 3.83/0.96 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.83/0.96 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 20041 completed with status 0
% 3.83/0.96 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 3.83/0.96 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/0.96 # No SInE strategy applied
% 3.83/0.96 # Search class: FGHSM-FSLM31-SFFFFFNN
% 3.83/0.96 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/0.96 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 3.83/0.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.83/0.96 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 3.83/0.96 # Preprocessing time : 0.003 s
% 3.83/0.96
% 3.83/0.96 # Proof found!
% 3.83/0.96 # SZS status Theorem
% 3.83/0.96 # SZS output start CNFRefutation
% See solution above
% 3.83/0.96 # Parsed axioms : 99
% 3.83/0.96 # Removed by relevancy pruning/SinE : 0
% 3.83/0.96 # Initial clauses : 200
% 3.83/0.96 # Removed in clause preprocessing : 13
% 3.83/0.96 # Initial clauses in saturation : 187
% 3.83/0.96 # Processed clauses : 3550
% 3.83/0.96 # ...of these trivial : 375
% 3.83/0.96 # ...subsumed : 509
% 3.83/0.96 # ...remaining for further processing : 2666
% 3.83/0.96 # Other redundant clauses eliminated : 1
% 3.83/0.96 # Clauses deleted for lack of memory : 0
% 3.83/0.96 # Backward-subsumed : 2
% 3.83/0.96 # Backward-rewritten : 257
% 3.83/0.96 # Generated clauses : 10652
% 3.83/0.96 # ...of the previous two non-redundant : 9527
% 3.83/0.96 # ...aggressively subsumed : 0
% 3.83/0.96 # Contextual simplify-reflections : 12
% 3.83/0.96 # Paramodulations : 10605
% 3.83/0.96 # Factorizations : 0
% 3.83/0.96 # NegExts : 0
% 3.83/0.96 # Equation resolutions : 47
% 3.83/0.96 # Disequality decompositions : 0
% 3.83/0.96 # Total rewrite steps : 8597
% 3.83/0.96 # ...of those cached : 7468
% 3.83/0.96 # Propositional unsat checks : 0
% 3.83/0.96 # Propositional check models : 0
% 3.83/0.96 # Propositional check unsatisfiable : 0
% 3.83/0.96 # Propositional clauses : 0
% 3.83/0.96 # Propositional clauses after purity: 0
% 3.83/0.96 # Propositional unsat core size : 0
% 3.83/0.96 # Propositional preprocessing time : 0.000
% 3.83/0.96 # Propositional encoding time : 0.000
% 3.83/0.96 # Propositional solver time : 0.000
% 3.83/0.96 # Success case prop preproc time : 0.000
% 3.83/0.96 # Success case prop encoding time : 0.000
% 3.83/0.96 # Success case prop solver time : 0.000
% 3.83/0.96 # Current number of processed clauses : 2406
% 3.83/0.96 # Positive orientable unit clauses : 1714
% 3.83/0.96 # Positive unorientable unit clauses: 1
% 3.83/0.96 # Negative unit clauses : 193
% 3.83/0.96 # Non-unit-clauses : 498
% 3.83/0.96 # Current number of unprocessed clauses: 6072
% 3.83/0.96 # ...number of literals in the above : 19850
% 3.83/0.96 # Current number of archived formulas : 0
% 3.83/0.96 # Current number of archived clauses : 259
% 3.83/0.96 # Clause-clause subsumption calls (NU) : 42116
% 3.83/0.96 # Rec. Clause-clause subsumption calls : 15801
% 3.83/0.96 # Non-unit clause-clause subsumptions : 211
% 3.83/0.96 # Unit Clause-clause subsumption calls : 140149
% 3.83/0.96 # Rewrite failures with RHS unbound : 0
% 3.83/0.96 # BW rewrite match attempts : 3624
% 3.83/0.96 # BW rewrite match successes : 30
% 3.83/0.96 # Condensation attempts : 0
% 3.83/0.96 # Condensation successes : 0
% 3.83/0.96 # Termbank termtop insertions : 354866
% 3.83/0.96 # Search garbage collected termcells : 2207
% 3.83/0.96
% 3.83/0.96 # -------------------------------------------------
% 3.83/0.96 # User time : 0.418 s
% 3.83/0.96 # System time : 0.022 s
% 3.83/0.96 # Total time : 0.440 s
% 3.83/0.96 # Maximum resident set size: 2356 pages
% 3.83/0.96
% 3.83/0.96 # -------------------------------------------------
% 3.83/0.96 # User time : 2.093 s
% 3.83/0.96 # System time : 0.080 s
% 3.83/0.96 # Total time : 2.173 s
% 3.83/0.96 # Maximum resident set size: 1792 pages
% 3.83/0.96 % E---3.1 exiting
%------------------------------------------------------------------------------