TSTP Solution File: LAT303+2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT303+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 18:08:27 EDT 2023
% Result : Theorem 470.79s 61.20s
% Output : CNFRefutation 470.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 19 unt; 0 def)
% Number of atoms : 289 ( 16 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 337 ( 116 ~; 107 |; 77 &)
% ( 6 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',t27_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',dt_l3_lattices) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',dt_l1_lattices) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',redefinition_k6_domain_1) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',t18_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',fc6_lattice2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',t63_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',fc1_lattice2) ).
fof(t14_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',t14_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',dt_k1_lattice2) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',t21_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dFOVIFrmJR/E---3.1_19429.p',redefinition_m1_filter_2) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_filter_2])]) ).
fof(c_0_14,plain,
! [X508] :
( ( l1_lattices(X508)
| ~ l3_lattices(X508) )
& ( l2_lattices(X508)
| ~ l3_lattices(X508) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0)
& ~ v13_lattices(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,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_17,plain,
! [X506] :
( ~ l1_lattices(X506)
| l1_struct_0(X506) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_18,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_21,plain,
! [X2796] :
( v3_struct_0(X2796)
| ~ l1_struct_0(X2796)
| ~ v1_xboole_0(u1_struct_0(X2796)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
cnf(c_0_22,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_28,plain,
! [X104,X105] :
( v1_xboole_0(X104)
| ~ m1_subset_1(X105,X104)
| k6_domain_1(X104,X105) = k1_tarski(X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t14_filter_0]) ).
fof(c_0_33,plain,
! [X769] :
( ( u1_struct_0(X769) = u1_struct_0(k1_lattice2(X769))
| v3_struct_0(X769)
| ~ l3_lattices(X769) )
& ( u2_lattices(X769) = u1_lattices(k1_lattice2(X769))
| v3_struct_0(X769)
| ~ l3_lattices(X769) )
& ( u1_lattices(X769) = u2_lattices(k1_lattice2(X769))
| v3_struct_0(X769)
| ~ l3_lattices(X769) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_34,plain,
! [X299] :
( ( ~ v3_struct_0(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v3_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v4_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v5_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v6_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v7_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v8_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v9_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) )
& ( v10_lattices(k1_lattice2(X299))
| v3_struct_0(X299)
| ~ v10_lattices(X299)
| ~ l3_lattices(X299) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_35,plain,
! [X388] :
( ( v3_lattices(k1_lattice2(X388))
| ~ l3_lattices(X388) )
& ( l3_lattices(k1_lattice2(X388))
| ~ l3_lattices(X388) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_36,plain,
! [X40] :
( ( ~ v13_lattices(X40)
| v14_lattices(k1_lattice2(X40))
| v3_struct_0(X40)
| ~ v10_lattices(X40)
| ~ l3_lattices(X40) )
& ( ~ v14_lattices(k1_lattice2(X40))
| v13_lattices(X40)
| v3_struct_0(X40)
| ~ v10_lattices(X40)
| ~ l3_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_37,plain,
! [X386] :
( ( ~ v3_struct_0(k1_lattice2(X386))
| v3_struct_0(X386)
| ~ l3_lattices(X386) )
& ( v3_lattices(k1_lattice2(X386))
| v3_struct_0(X386)
| ~ l3_lattices(X386) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t21_filter_2]) ).
cnf(c_0_39,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_42,plain,
! [X107,X108] :
( v3_struct_0(X107)
| ~ v10_lattices(X107)
| ~ l3_lattices(X107)
| ~ m1_subset_1(X108,u1_struct_0(X107))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X107),X108),X107)
| v14_lattices(X107) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_43,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
~ v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_51,plain,
! [X90,X91] :
( ( ~ m2_filter_2(X91,X90)
| m1_filter_2(X91,k1_lattice2(X90))
| v3_struct_0(X90)
| ~ v10_lattices(X90)
| ~ l3_lattices(X90) )
& ( ~ m1_filter_2(X91,k1_lattice2(X90))
| m2_filter_2(X91,X90)
| v3_struct_0(X90)
| ~ v10_lattices(X90)
| ~ l3_lattices(X90) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
cnf(c_0_52,negated_conjecture,
m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_53,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_31]) ).
cnf(c_0_56,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_19]),c_0_45])]),c_0_31]) ).
cnf(c_0_57,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_46,c_0_19]) ).
cnf(c_0_58,negated_conjecture,
~ v14_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_19]),c_0_45])]),c_0_48]),c_0_31]) ).
cnf(c_0_59,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_19]),c_0_31]) ).
fof(c_0_60,plain,
! [X1683,X1684] :
( ( ~ m1_filter_2(X1684,X1683)
| m1_filter_0(X1684,X1683)
| v3_struct_0(X1683)
| ~ v10_lattices(X1683)
| ~ l3_lattices(X1683) )
& ( ~ m1_filter_0(X1684,X1683)
| m1_filter_2(X1684,X1683)
| v3_struct_0(X1683)
| ~ v10_lattices(X1683)
| ~ l3_lattices(X1683) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
cnf(c_0_61,plain,
( m1_filter_2(X1,k1_lattice2(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_62,negated_conjecture,
m2_filter_2(k1_tarski(esk2_0),esk1_0),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(esk1_0),X1),k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,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_54,c_0_55]),c_0_56]),c_0_57])]),c_0_58]),c_0_59]) ).
cnf(c_0_64,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
m1_filter_2(k1_tarski(esk2_0),k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_45]),c_0_19])]),c_0_31]) ).
cnf(c_0_66,negated_conjecture,
~ m1_filter_0(k1_tarski(esk2_0),k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_53]),c_0_40])]) ).
cnf(c_0_67,negated_conjecture,
$false,
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_56]),c_0_57])]),c_0_66]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.32 % Problem : LAT303+2 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.33 % Command : run_E %s %d THM
% 0.33/0.54 % Computer : n015.cluster.edu
% 0.33/0.54 % Model : x86_64 x86_64
% 0.33/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.33/0.54 % Memory : 8042.1875MB
% 0.33/0.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.33/0.54 % CPULimit : 2400
% 0.33/0.54 % WCLimit : 300
% 0.33/0.54 % DateTime : Mon Oct 2 10:44:31 EDT 2023
% 0.33/0.54 % CPUTime :
% 0.49/0.93 Running first-order theorem proving
% 0.49/0.93 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.dFOVIFrmJR/E---3.1_19429.p
% 470.79/61.20 # Version: 3.1pre001
% 470.79/61.20 # Preprocessing class: FMLMSMSLSSSNFFN.
% 470.79/61.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 470.79/61.20 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 470.79/61.20 # Starting new_bool_3 with 600s (2) cores
% 470.79/61.20 # Starting new_bool_1 with 600s (2) cores
% 470.79/61.20 # Starting sh5l with 300s (1) cores
% 470.79/61.20 # sh5l with pid 19511 completed with status 0
% 470.79/61.20 # Result found by sh5l
% 470.79/61.20 # Preprocessing class: FMLMSMSLSSSNFFN.
% 470.79/61.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 470.79/61.20 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 470.79/61.20 # Starting new_bool_3 with 600s (2) cores
% 470.79/61.20 # Starting new_bool_1 with 600s (2) cores
% 470.79/61.20 # Starting sh5l with 300s (1) cores
% 470.79/61.20 # SinE strategy is gf500_gu_R04_F100_L20000
% 470.79/61.20 # Search class: FGHSM-SMLM32-MFFFFFNN
% 470.79/61.20 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 470.79/61.20 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 470.79/61.20 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 19516 completed with status 7
% 470.79/61.20 # Starting sh5l with 31s (1) cores
% 470.79/61.20 # sh5l with pid 19525 completed with status 7
% 470.79/61.20 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 23s (1) cores
% 470.79/61.20 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 19535 completed with status 0
% 470.79/61.20 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 470.79/61.20 # Preprocessing class: FMLMSMSLSSSNFFN.
% 470.79/61.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 470.79/61.20 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 470.79/61.20 # Starting new_bool_3 with 600s (2) cores
% 470.79/61.20 # Starting new_bool_1 with 600s (2) cores
% 470.79/61.20 # Starting sh5l with 300s (1) cores
% 470.79/61.20 # SinE strategy is gf500_gu_R04_F100_L20000
% 470.79/61.20 # Search class: FGHSM-SMLM32-MFFFFFNN
% 470.79/61.20 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 470.79/61.20 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 470.79/61.20 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 19516 completed with status 7
% 470.79/61.20 # Starting sh5l with 31s (1) cores
% 470.79/61.20 # sh5l with pid 19525 completed with status 7
% 470.79/61.20 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 23s (1) cores
% 470.79/61.20 # Preprocessing time : 0.081 s
% 470.79/61.20 # Presaturation interreduction done
% 470.79/61.20
% 470.79/61.20 # Proof found!
% 470.79/61.20 # SZS status Theorem
% 470.79/61.20 # SZS output start CNFRefutation
% See solution above
% 470.79/61.20 # Parsed axioms : 2951
% 470.79/61.20 # Removed by relevancy pruning/SinE : 996
% 470.79/61.20 # Initial clauses : 4189
% 470.79/61.20 # Removed in clause preprocessing : 93
% 470.79/61.20 # Initial clauses in saturation : 4096
% 470.79/61.20 # Processed clauses : 19504
% 470.79/61.20 # ...of these trivial : 416
% 470.79/61.20 # ...subsumed : 7232
% 470.79/61.20 # ...remaining for further processing : 11856
% 470.79/61.20 # Other redundant clauses eliminated : 678
% 470.79/61.20 # Clauses deleted for lack of memory : 0
% 470.79/61.20 # Backward-subsumed : 54
% 470.79/61.20 # Backward-rewritten : 423
% 470.79/61.20 # Generated clauses : 97115
% 470.79/61.20 # ...of the previous two non-redundant : 91503
% 470.79/61.20 # ...aggressively subsumed : 0
% 470.79/61.20 # Contextual simplify-reflections : 257
% 470.79/61.20 # Paramodulations : 96526
% 470.79/61.20 # Factorizations : 1
% 470.79/61.20 # NegExts : 0
% 470.79/61.20 # Equation resolutions : 695
% 470.79/61.20 # Total rewrite steps : 38039
% 470.79/61.20 # Propositional unsat checks : 0
% 470.79/61.20 # Propositional check models : 0
% 470.79/61.20 # Propositional check unsatisfiable : 0
% 470.79/61.20 # Propositional clauses : 0
% 470.79/61.20 # Propositional clauses after purity: 0
% 470.79/61.20 # Propositional unsat core size : 0
% 470.79/61.20 # Propositional preprocessing time : 0.000
% 470.79/61.20 # Propositional encoding time : 0.000
% 470.79/61.20 # Propositional solver time : 0.000
% 470.79/61.20 # Success case prop preproc time : 0.000
% 470.79/61.20 # Success case prop encoding time : 0.000
% 470.79/61.20 # Success case prop solver time : 0.000
% 470.79/61.20 # Current number of processed clauses : 7141
% 470.79/61.20 # Positive orientable unit clauses : 2975
% 470.79/61.20 # Positive unorientable unit clauses: 31
% 470.79/61.20 # Negative unit clauses : 1913
% 470.79/61.20 # Non-unit-clauses : 2222
% 470.79/61.20 # Current number of unprocessed clauses: 79592
% 470.79/61.20 # ...number of literals in the above : 160854
% 470.79/61.20 # Current number of archived formulas : 0
% 470.79/61.20 # Current number of archived clauses : 4216
% 470.79/61.20 # Clause-clause subsumption calls (NU) : 4915915
% 470.79/61.20 # Rec. Clause-clause subsumption calls : 642426
% 470.79/61.20 # Non-unit clause-clause subsumptions : 701
% 470.79/61.20 # Unit Clause-clause subsumption calls : 795244
% 470.79/61.20 # Rewrite failures with RHS unbound : 0
% 470.79/61.20 # BW rewrite match attempts : 3871
% 470.79/61.20 # BW rewrite match successes : 1794
% 470.79/61.20 # Condensation attempts : 0
% 470.79/61.20 # Condensation successes : 0
% 470.79/61.20 # Termbank termtop insertions : 1678619
% 470.79/61.20
% 470.79/61.20 # -------------------------------------------------
% 470.79/61.20 # User time : 58.509 s
% 470.79/61.20 # System time : 0.620 s
% 470.79/61.20 # Total time : 59.129 s
% 470.79/61.20 # Maximum resident set size: 20016 pages
% 470.79/61.20
% 470.79/61.20 # -------------------------------------------------
% 470.79/61.20 # User time : 58.588 s
% 470.79/61.20 # System time : 0.627 s
% 470.79/61.20 # Total time : 59.215 s
% 470.79/61.20 # Maximum resident set size: 5136 pages
% 470.79/61.20 % E---3.1 exiting
% 470.79/61.21 % E---3.1 exiting
%------------------------------------------------------------------------------