TSTP Solution File: LAT323+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT323+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:37 EDT 2023
% Result : Theorem 1011.83s 133.92s
% Output : CNFRefutation 1011.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 19 unt; 0 def)
% Number of atoms : 684 ( 38 equ)
% Maximal formula atoms : 87 ( 6 avg)
% Number of connectives : 849 ( 279 ~; 340 |; 139 &)
% ( 12 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 201 ( 0 sgn; 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',dt_m2_lattice4) ).
fof(t59_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t59_filter_2) ).
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/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',dt_m2_filter_2) ).
fof(t57_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
| r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t57_filter_2) ).
fof(t22_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( m2_filter_2(X2,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r3_lattices(X1,X4,X3) )
=> r2_hidden(X4,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t22_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t3_subset) ).
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/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t4_subset) ).
fof(t48_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t48_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/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',dt_k7_lattices) ).
fof(t40_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> v3_filter_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t40_filter_0) ).
fof(t23_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m2_filter_2(X4,X1)
=> ( r2_hidden(X2,X4)
=> ( r2_hidden(k4_lattices(X1,X2,X3),X4)
& r2_hidden(k4_lattices(X1,X3,X2),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t23_filter_2) ).
fof(t43_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k4_lattices(X1,k6_lattices(X1),X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t43_lattices) ).
fof(t37_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v3_filter_0(X1)
& l3_lattices(X1) )
=> v14_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t37_filter_0) ).
fof(t49_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_lattices(X1,k7_lattices(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t49_lattices) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',d3_tarski) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t1_subset) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',d10_xboole_0) ).
fof(d10_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,X3)
=> ( X3 = u1_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',d10_filter_2) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8n84hW8e9F/E---3.1_8369.p',t28_filter_2) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
<=> ~ r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t59_filter_2])]) ).
fof(c_0_21,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r3_lattices(X1,X4,X3) )
=> r2_hidden(X4,X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_22,plain,
! [X411,X412] :
( v3_struct_0(X411)
| ~ v10_lattices(X411)
| ~ l3_lattices(X411)
| ~ m2_lattice4(X412,X411)
| m1_subset_1(X412,k1_zfmisc_1(u1_struct_0(X411))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_23,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& r2_filter_2(esk1_0,esk2_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ( ~ r2_hidden(esk3_0,esk2_0)
| r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) )
& ( r2_hidden(esk3_0,esk2_0)
| ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,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_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
| r2_hidden(k7_lattices(X1,X3),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t57_filter_2]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( m2_filter_2(X2,X1)
<=> epred1_2(X2,X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t22_filter_2]),c_0_21]) ).
fof(c_0_27,plain,
! [X183,X184] :
( ( ~ m1_subset_1(X183,k1_zfmisc_1(X184))
| r1_tarski(X183,X184) )
& ( ~ r1_tarski(X183,X184)
| m1_subset_1(X183,k1_zfmisc_1(X184)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_32,plain,
! [X119,X120] :
( ( ~ v1_xboole_0(X120)
| ~ m2_filter_2(X120,X119)
| v3_struct_0(X119)
| ~ v10_lattices(X119)
| ~ l3_lattices(X119) )
& ( m2_lattice4(X120,X119)
| ~ m2_filter_2(X120,X119)
| v3_struct_0(X119)
| ~ v10_lattices(X119)
| ~ l3_lattices(X119) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_33,plain,
! [X115,X116,X117] :
( ( X116 != u1_struct_0(X115)
| ~ r2_filter_2(X115,X116)
| ~ m2_filter_2(X116,X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v17_lattices(X115)
| ~ l3_lattices(X115) )
& ( ~ m1_subset_1(X117,u1_struct_0(X115))
| r2_hidden(X117,X116)
| r2_hidden(k7_lattices(X115,X117),X116)
| ~ r2_filter_2(X115,X116)
| ~ m2_filter_2(X116,X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v17_lattices(X115)
| ~ l3_lattices(X115) )
& ( m1_subset_1(esk13_2(X115,X116),u1_struct_0(X115))
| X116 = u1_struct_0(X115)
| r2_filter_2(X115,X116)
| ~ m2_filter_2(X116,X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v17_lattices(X115)
| ~ l3_lattices(X115) )
& ( ~ r2_hidden(esk13_2(X115,X116),X116)
| X116 = u1_struct_0(X115)
| r2_filter_2(X115,X116)
| ~ m2_filter_2(X116,X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v17_lattices(X115)
| ~ l3_lattices(X115) )
& ( ~ r2_hidden(k7_lattices(X115,esk13_2(X115,X116)),X116)
| X116 = u1_struct_0(X115)
| r2_filter_2(X115,X116)
| ~ m2_filter_2(X116,X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v17_lattices(X115)
| ~ l3_lattices(X115) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])]) ).
fof(c_0_34,plain,
! [X136,X137] :
( ( ~ m2_filter_2(X137,X136)
| epred1_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( ~ epred1_2(X137,X136)
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_35,plain,
! [X46,X47,X48] :
( ~ r2_hidden(X46,X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(X48))
| m1_subset_1(X46,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_36,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m2_lattice4(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_38,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_32]) ).
cnf(c_0_39,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1) ) ),
inference(fof_simplification,[status(thm)],[t48_lattices]) ).
fof(c_0_41,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_42,plain,
( r2_hidden(X1,X3)
| r2_hidden(k7_lattices(X2,X1),X3)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_filter_2(X2,X3)
| ~ m2_filter_2(X3,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_44,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_45,plain,
( epred1_2(X1,X2)
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> v3_filter_0(X1) ),
inference(fof_simplification,[status(thm)],[t40_filter_0]) ).
fof(c_0_48,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m2_filter_2(X4,X1)
=> ( r2_hidden(X2,X4)
=> ( r2_hidden(k4_lattices(X1,X2,X3),X4)
& r2_hidden(k4_lattices(X1,X3,X2),X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t23_filter_2]) ).
cnf(c_0_49,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_35]) ).
cnf(c_0_50,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,negated_conjecture,
( r1_tarski(X1,u1_struct_0(esk1_0))
| ~ m2_lattice4(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_52,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k4_lattices(X1,k6_lattices(X1),X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[t43_lattices]) ).
fof(c_0_54,plain,
! [X1166,X1167,X1168,X1169,X1170,X1171,X1172,X1173] :
( ( ~ m1_subset_1(X1168,u1_struct_0(X1166))
| ~ m1_subset_1(X1169,u1_struct_0(X1166))
| ~ r2_hidden(X1168,X1167)
| ~ r2_hidden(X1169,X1167)
| r2_hidden(k3_lattices(X1166,X1168,X1169),X1167)
| ~ epred1_2(X1167,X1166) )
& ( ~ m1_subset_1(X1170,u1_struct_0(X1166))
| ~ m1_subset_1(X1171,u1_struct_0(X1166))
| ~ r2_hidden(X1170,X1167)
| ~ r3_lattices(X1166,X1171,X1170)
| r2_hidden(X1171,X1167)
| ~ epred1_2(X1167,X1166) )
& ( m1_subset_1(esk156_2(X1172,X1173),u1_struct_0(X1172))
| m1_subset_1(esk154_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk157_2(X1172,X1173),u1_struct_0(X1172))
| m1_subset_1(esk154_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( r2_hidden(esk156_2(X1172,X1173),X1173)
| m1_subset_1(esk154_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( r3_lattices(X1172,esk157_2(X1172,X1173),esk156_2(X1172,X1173))
| m1_subset_1(esk154_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( ~ r2_hidden(esk157_2(X1172,X1173),X1173)
| m1_subset_1(esk154_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk156_2(X1172,X1173),u1_struct_0(X1172))
| m1_subset_1(esk155_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk157_2(X1172,X1173),u1_struct_0(X1172))
| m1_subset_1(esk155_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( r2_hidden(esk156_2(X1172,X1173),X1173)
| m1_subset_1(esk155_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( r3_lattices(X1172,esk157_2(X1172,X1173),esk156_2(X1172,X1173))
| m1_subset_1(esk155_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( ~ r2_hidden(esk157_2(X1172,X1173),X1173)
| m1_subset_1(esk155_2(X1172,X1173),u1_struct_0(X1172))
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk156_2(X1172,X1173),u1_struct_0(X1172))
| r2_hidden(esk154_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk157_2(X1172,X1173),u1_struct_0(X1172))
| r2_hidden(esk154_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( r2_hidden(esk156_2(X1172,X1173),X1173)
| r2_hidden(esk154_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( r3_lattices(X1172,esk157_2(X1172,X1173),esk156_2(X1172,X1173))
| r2_hidden(esk154_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( ~ r2_hidden(esk157_2(X1172,X1173),X1173)
| r2_hidden(esk154_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk156_2(X1172,X1173),u1_struct_0(X1172))
| r2_hidden(esk155_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk157_2(X1172,X1173),u1_struct_0(X1172))
| r2_hidden(esk155_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( r2_hidden(esk156_2(X1172,X1173),X1173)
| r2_hidden(esk155_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( r3_lattices(X1172,esk157_2(X1172,X1173),esk156_2(X1172,X1173))
| r2_hidden(esk155_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( ~ r2_hidden(esk157_2(X1172,X1173),X1173)
| r2_hidden(esk155_2(X1172,X1173),X1173)
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk156_2(X1172,X1173),u1_struct_0(X1172))
| ~ r2_hidden(k3_lattices(X1172,esk154_2(X1172,X1173),esk155_2(X1172,X1173)),X1173)
| epred1_2(X1173,X1172) )
& ( m1_subset_1(esk157_2(X1172,X1173),u1_struct_0(X1172))
| ~ r2_hidden(k3_lattices(X1172,esk154_2(X1172,X1173),esk155_2(X1172,X1173)),X1173)
| epred1_2(X1173,X1172) )
& ( r2_hidden(esk156_2(X1172,X1173),X1173)
| ~ r2_hidden(k3_lattices(X1172,esk154_2(X1172,X1173),esk155_2(X1172,X1173)),X1173)
| epred1_2(X1173,X1172) )
& ( r3_lattices(X1172,esk157_2(X1172,X1173),esk156_2(X1172,X1173))
| ~ r2_hidden(k3_lattices(X1172,esk154_2(X1172,X1173),esk155_2(X1172,X1173)),X1173)
| epred1_2(X1173,X1172) )
& ( ~ r2_hidden(esk157_2(X1172,X1173),X1173)
| ~ r2_hidden(k3_lattices(X1172,esk154_2(X1172,X1173),esk155_2(X1172,X1173)),X1173)
| epred1_2(X1173,X1172) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
fof(c_0_55,plain,
! [X72,X73] :
( v3_struct_0(X72)
| ~ v10_lattices(X72)
| ~ v17_lattices(X72)
| ~ l3_lattices(X72)
| ~ m1_subset_1(X73,u1_struct_0(X72))
| k3_lattices(X72,k7_lattices(X72,X73),X73) = k6_lattices(X72) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_56,plain,
! [X88,X89] :
( v3_struct_0(X88)
| ~ l3_lattices(X88)
| ~ m1_subset_1(X89,u1_struct_0(X88))
| m1_subset_1(k7_lattices(X88,X89),u1_struct_0(X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_57,negated_conjecture,
( r2_hidden(esk3_0,esk2_0)
| ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_58,negated_conjecture,
( r2_hidden(k7_lattices(esk1_0,X1),esk2_0)
| r2_hidden(X1,esk2_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_42,c_0_43]),c_0_39]),c_0_44]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_59,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_60,plain,
( epred1_2(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v3_filter_0(X1)
& l3_lattices(X1) )
=> v14_lattices(X1) ),
inference(fof_simplification,[status(thm)],[t37_filter_0]) ).
fof(c_0_62,plain,
! [X816] :
( v3_struct_0(X816)
| ~ v10_lattices(X816)
| ~ v17_lattices(X816)
| ~ l3_lattices(X816)
| v3_filter_0(X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_63,plain,
! [X138,X139,X140,X141] :
( ( r2_hidden(k4_lattices(X138,X139,X140),X141)
| ~ r2_hidden(X139,X141)
| ~ m2_filter_2(X141,X138)
| ~ m1_subset_1(X140,u1_struct_0(X138))
| ~ m1_subset_1(X139,u1_struct_0(X138))
| v3_struct_0(X138)
| ~ v10_lattices(X138)
| ~ l3_lattices(X138) )
& ( r2_hidden(k4_lattices(X138,X140,X139),X141)
| ~ r2_hidden(X139,X141)
| ~ m2_filter_2(X141,X138)
| ~ m1_subset_1(X140,u1_struct_0(X138))
| ~ m1_subset_1(X139,u1_struct_0(X138))
| v3_struct_0(X138)
| ~ v10_lattices(X138)
| ~ l3_lattices(X138) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
cnf(c_0_64,plain,
( m1_subset_1(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(X1,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_65,negated_conjecture,
r1_tarski(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_66,plain,
! [X243,X244] :
( v3_struct_0(X243)
| ~ v10_lattices(X243)
| ~ v14_lattices(X243)
| ~ l3_lattices(X243)
| ~ m1_subset_1(X244,u1_struct_0(X243))
| k4_lattices(X243,k6_lattices(X243),X244) = X244 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_67,plain,
( r2_hidden(k3_lattices(X2,X1,X3),X4)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ epred1_2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
( v3_struct_0(X1)
| k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,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_56]) ).
cnf(c_0_70,negated_conjecture,
( r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0)
| ~ r2_hidden(esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_71,negated_conjecture,
r2_hidden(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_72,negated_conjecture,
( epred1_2(esk2_0,esk1_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(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_60,c_0_39]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_73,plain,
! [X396] :
( v3_struct_0(X396)
| ~ v10_lattices(X396)
| ~ v3_filter_0(X396)
| ~ l3_lattices(X396)
| v14_lattices(X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| v3_filter_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_75,plain,
( r2_hidden(k4_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X4)
| ~ m2_filter_2(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| k4_lattices(X1,k6_lattices(X1),X2) = X2
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ epred1_2(X2,X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(k7_lattices(X1,X3),X2)
| ~ r2_hidden(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_79,negated_conjecture,
r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_80,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_37]),c_0_52])]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_82,negated_conjecture,
v3_filter_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_74,c_0_44]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_83,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_lattices(X1,k7_lattices(X1,X2)) = X2 ) ),
inference(fof_simplification,[status(thm)],[t49_lattices]) ).
cnf(c_0_84,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_39]),c_0_29]),c_0_30])]),c_0_31]),c_0_76]) ).
cnf(c_0_85,plain,
( k4_lattices(X1,k6_lattices(X1),k7_lattices(X1,X2)) = k7_lattices(X1,X2)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_69]) ).
cnf(c_0_86,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_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(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_44]),c_0_29]),c_0_30]),c_0_59]),c_0_71])]),c_0_31]) ).
cnf(c_0_87,negated_conjecture,
v14_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_29]),c_0_30])]),c_0_31]),c_0_82])]) ).
fof(c_0_88,plain,
! [X74,X75] :
( v3_struct_0(X74)
| ~ v10_lattices(X74)
| ~ v17_lattices(X74)
| ~ l3_lattices(X74)
| ~ m1_subset_1(X75,u1_struct_0(X74))
| k7_lattices(X74,k7_lattices(X74,X75)) = X75 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])]) ).
fof(c_0_89,plain,
! [X338,X339,X340,X341,X342] :
( ( ~ r1_tarski(X338,X339)
| ~ r2_hidden(X340,X338)
| r2_hidden(X340,X339) )
& ( r2_hidden(esk44_2(X341,X342),X341)
| r1_tarski(X341,X342) )
& ( ~ r2_hidden(esk44_2(X341,X342),X342)
| r1_tarski(X341,X342) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_90,negated_conjecture,
( r2_hidden(k7_lattices(esk1_0,X1),esk2_0)
| ~ m1_subset_1(k7_lattices(esk1_0,X1),u1_struct_0(esk1_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_84,c_0_85]),c_0_86]),c_0_87]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_91,plain,
( v3_struct_0(X1)
| k7_lattices(X1,k7_lattices(X1,X2)) = X2
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( m1_subset_1(k7_lattices(esk1_0,X1),u1_struct_0(esk1_0))
| r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_58]) ).
fof(c_0_93,plain,
! [X42,X43] :
( ~ r2_hidden(X42,X43)
| m1_subset_1(X42,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_94,plain,
! [X345,X346] :
( ( r1_tarski(X345,X346)
| X345 != X346 )
& ( r1_tarski(X346,X345)
| X345 != X346 )
& ( ~ r1_tarski(X345,X346)
| ~ r1_tarski(X346,X345)
| X345 = X346 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_95,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk44_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_44]),c_0_29]),c_0_30])]),c_0_31]),c_0_92]) ).
cnf(c_0_97,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,plain,
( r2_hidden(esk44_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_99,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,X3)
=> ( X3 = u1_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X2,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_filter_2]) ).
fof(c_0_100,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t28_filter_2]) ).
cnf(c_0_101,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( r1_tarski(X1,esk2_0)
| ~ m1_subset_1(esk44_2(X1,esk2_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
( m1_subset_1(esk44_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_104,plain,
! [X105,X106,X107] :
( ( X106 != u1_struct_0(X105)
| ~ r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( ~ m2_filter_2(X107,X105)
| ~ r1_tarski(X106,X107)
| X107 = u1_struct_0(X105)
| r1_filter_2(u1_struct_0(X105),X106,X107)
| ~ r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( m2_filter_2(esk10_2(X105,X106),X105)
| X106 = u1_struct_0(X105)
| r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( r1_tarski(X106,esk10_2(X105,X106))
| X106 = u1_struct_0(X105)
| r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( esk10_2(X105,X106) != u1_struct_0(X105)
| X106 = u1_struct_0(X105)
| r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( ~ r1_filter_2(u1_struct_0(X105),X106,esk10_2(X105,X106))
| X106 = u1_struct_0(X105)
| r2_filter_2(X105,X106)
| ~ m2_filter_2(X106,X105)
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])])]) ).
fof(c_0_105,plain,
! [X150] :
( v3_struct_0(X150)
| ~ v10_lattices(X150)
| ~ l3_lattices(X150)
| m2_filter_2(u1_struct_0(X150),X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])]) ).
cnf(c_0_106,negated_conjecture,
( esk2_0 = u1_struct_0(esk1_0)
| ~ r1_tarski(u1_struct_0(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_65]) ).
cnf(c_0_107,negated_conjecture,
r1_tarski(u1_struct_0(esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( v3_struct_0(X2)
| X1 != u1_struct_0(X2)
| ~ r2_filter_2(X2,X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_109,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_110,negated_conjecture,
esk2_0 = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_111,plain,
( v3_struct_0(X1)
| ~ r2_filter_2(X1,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_108]),c_0_109]) ).
cnf(c_0_112,negated_conjecture,
r2_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_43,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_29]),c_0_30])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.44/1.50 % Problem : LAT323+3 : TPTP v8.1.2. Released v3.4.0.
% 1.44/1.51 % Command : run_E %s %d THM
% 1.50/1.71 % Computer : n020.cluster.edu
% 1.50/1.71 % Model : x86_64 x86_64
% 1.50/1.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.50/1.71 % Memory : 8042.1875MB
% 1.50/1.71 % OS : Linux 3.10.0-693.el7.x86_64
% 1.50/1.71 % CPULimit : 2400
% 1.50/1.71 % WCLimit : 300
% 1.50/1.71 % DateTime : Mon Oct 2 11:00:19 EDT 2023
% 1.50/1.71 % CPUTime :
% 4.77/4.97 Running first-order theorem proving
% 4.77/4.97 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/tmp/tmp.8n84hW8e9F/E---3.1_8369.p
% 1011.83/133.92 # Version: 3.1pre001
% 1011.83/133.92 # Preprocessing class: FMLLSMLLSSSNFFN.
% 1011.83/133.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1011.83/133.92 # Starting new_bool_3 with 900s (3) cores
% 1011.83/133.92 # Starting new_bool_1 with 900s (3) cores
% 1011.83/133.92 # Starting sh5l with 300s (1) cores
% 1011.83/133.92 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 1011.83/133.92 # new_bool_1 with pid 8449 completed with status 0
% 1011.83/133.92 # Result found by new_bool_1
% 1011.83/133.92 # Preprocessing class: FMLLSMLLSSSNFFN.
% 1011.83/133.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1011.83/133.92 # Starting new_bool_3 with 900s (3) cores
% 1011.83/133.92 # Starting new_bool_1 with 900s (3) cores
% 1011.83/133.92 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1011.83/133.92 # Search class: FGHSM-SMLM32-MFFFFFNN
% 1011.83/133.92 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 1011.83/133.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 1011.83/133.92 # Starting new_bool_1 with 91s (1) cores
% 1011.83/133.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 1011.83/133.92 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 8454 completed with status 7
% 1011.83/133.92 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 1011.83/133.92 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 8458 completed with status 7
% 1011.83/133.92 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 68s (1) cores
% 1011.83/133.92 # new_bool_1 with pid 8456 completed with status 7
% 1011.83/133.92 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 68s (1) cores
% 1011.83/133.92 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 8490 completed with status 0
% 1011.83/133.92 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 1011.83/133.92 # Preprocessing class: FMLLSMLLSSSNFFN.
% 1011.83/133.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1011.83/133.92 # Starting new_bool_3 with 900s (3) cores
% 1011.83/133.92 # Starting new_bool_1 with 900s (3) cores
% 1011.83/133.92 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1011.83/133.92 # Search class: FGHSM-SMLM32-MFFFFFNN
% 1011.83/133.92 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 1011.83/133.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 1011.83/133.92 # Starting new_bool_1 with 91s (1) cores
% 1011.83/133.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 1011.83/133.92 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 8454 completed with status 7
% 1011.83/133.92 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 1011.83/133.92 # Preprocessing time : 0.040 s
% 1011.83/133.92 # Presaturation interreduction done
% 1011.83/133.92
% 1011.83/133.92 # Proof found!
% 1011.83/133.92 # SZS status Theorem
% 1011.83/133.92 # SZS output start CNFRefutation
% See solution above
% 1011.83/133.92 # Parsed axioms : 13653
% 1011.83/133.92 # Removed by relevancy pruning/SinE : 13234
% 1011.83/133.92 # Initial clauses : 1116
% 1011.83/133.92 # Removed in clause preprocessing : 55
% 1011.83/133.92 # Initial clauses in saturation : 1061
% 1011.83/133.92 # Processed clauses : 52482
% 1011.83/133.92 # ...of these trivial : 296
% 1011.83/133.92 # ...subsumed : 37036
% 1011.83/133.92 # ...remaining for further processing : 15150
% 1011.83/133.92 # Other redundant clauses eliminated : 214
% 1011.83/133.92 # Clauses deleted for lack of memory : 0
% 1011.83/133.92 # Backward-subsumed : 1001
% 1011.83/133.92 # Backward-rewritten : 4833
% 1011.83/133.92 # Generated clauses : 1766041
% 1011.83/133.92 # ...of the previous two non-redundant : 1724039
% 1011.83/133.92 # ...aggressively subsumed : 0
% 1011.83/133.92 # Contextual simplify-reflections : 617
% 1011.83/133.92 # Paramodulations : 1765812
% 1011.83/133.92 # Factorizations : 10
% 1011.83/133.92 # NegExts : 0
% 1011.83/133.92 # Equation resolutions : 223
% 1011.83/133.92 # Total rewrite steps : 314173
% 1011.83/133.92 # Propositional unsat checks : 3
% 1011.83/133.92 # Propositional check models : 0
% 1011.83/133.92 # Propositional check unsatisfiable : 0
% 1011.83/133.92 # Propositional clauses : 0
% 1011.83/133.92 # Propositional clauses after purity: 0
% 1011.83/133.92 # Propositional unsat core size : 0
% 1011.83/133.92 # Propositional preprocessing time : 0.000
% 1011.83/133.92 # Propositional encoding time : 4.884
% 1011.83/133.92 # Propositional solver time : 3.872
% 1011.83/133.92 # Success case prop preproc time : 0.000
% 1011.83/133.92 # Success case prop encoding time : 0.000
% 1011.83/133.92 # Success case prop solver time : 0.000
% 1011.83/133.92 # Current number of processed clauses : 8263
% 1011.83/133.92 # Positive orientable unit clauses : 838
% 1011.83/133.92 # Positive unorientable unit clauses: 0
% 1011.83/133.92 # Negative unit clauses : 1007
% 1011.83/133.92 # Non-unit-clauses : 6418
% 1011.83/133.92 # Current number of unprocessed clauses: 1669758
% 1011.83/133.92 # ...number of literals in the above : 7134573
% 1011.83/133.92 # Current number of archived formulas : 0
% 1011.83/133.92 # Current number of archived clauses : 6808
% 1011.83/133.92 # Clause-clause subsumption calls (NU) : 29381385
% 1011.83/133.92 # Rec. Clause-clause subsumption calls : 11377943
% 1011.83/133.92 # Non-unit clause-clause subsumptions : 31932
% 1011.83/133.92 # Unit Clause-clause subsumption calls : 1013282
% 1011.83/133.92 # Rewrite failures with RHS unbound : 0
% 1011.83/133.92 # BW rewrite match attempts : 496
% 1011.83/133.92 # BW rewrite match successes : 110
% 1011.83/133.92 # Condensation attempts : 0
% 1011.83/133.92 # Condensation successes : 0
% 1011.83/133.92 # Termbank termtop insertions : 51927503
% 1011.83/133.92
% 1011.83/133.92 # -------------------------------------------------
% 1011.83/133.92 # User time : 282.347 s
% 1011.83/133.92 # System time : 4.222 s
% 1011.83/133.92 # Total time : 286.569 s
% 1011.83/133.92 # Maximum resident set size: 26364 pages
% 1011.83/133.92
% 1011.83/133.92 # -------------------------------------------------
% 1011.83/133.92 # User time : 371.021 s
% 1011.83/133.92 # System time : 5.987 s
% 1011.83/133.92 # Total time : 377.008 s
% 1011.83/133.92 # Maximum resident set size: 20068 pages
% 1011.83/133.92 % E---3.1 exiting
% 1011.83/133.93 % E---3.1 exiting
%------------------------------------------------------------------------------