TSTP Solution File: LAT313+4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT313+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:33 EDT 2023
% Result : Theorem 20.19s 16.43s
% Output : CNFRefutation 20.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 25 unt; 0 def)
% Number of atoms : 289 ( 22 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 338 ( 122 ~; 111 |; 65 &)
% ( 6 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 2 sgn; 64 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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.w4IlOpSARB/E---3.1_27674.p',dt_m2_filter_2) ).
fof(t43_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',t43_filter_2) ).
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.w4IlOpSARB/E---3.1_27674.p',dt_m2_lattice4) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',dt_k19_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',t7_boole) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',d2_subset_1) ).
fof(t42_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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',t42_filter_2) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',existence_m1_subset_1) ).
fof(t38_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',t38_filter_2) ).
fof(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',redefinition_r1_filter_2) ).
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/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',t5_subset) ).
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/sandbox2/tmp/tmp.w4IlOpSARB/E---3.1_27674.p',d8_filter_2) ).
fof(c_0_12,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_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t43_filter_2])]) ).
fof(c_0_14,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_15,plain,
! [X149,X150] :
( ( ~ v1_xboole_0(X150)
| ~ m2_filter_2(X150,X149)
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) )
& ( m2_lattice4(X150,X149)
| ~ m2_filter_2(X150,X149)
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_16,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& v14_lattices(esk1_0)
& r2_hidden(k6_lattices(esk1_0),esk2_0)
& ( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0))
| esk2_0 != u1_struct_0(esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_17,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_18,plain,
! [X555,X556] :
( v3_struct_0(X555)
| ~ v10_lattices(X555)
| ~ l3_lattices(X555)
| ~ m2_lattice4(X556,X555)
| m1_subset_1(X556,k1_zfmisc_1(u1_struct_0(X555))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_19,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_15]) ).
cnf(c_0_20,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X87,X88] :
( ~ r2_hidden(X87,X88)
| ~ v1_xboole_0(X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t42_filter_2]) ).
fof(c_0_27,plain,
! [X224,X225] :
( v3_struct_0(X224)
| ~ v10_lattices(X224)
| ~ l3_lattices(X224)
| v1_xboole_0(X225)
| ~ m1_subset_1(X225,k1_zfmisc_1(u1_struct_0(X224)))
| m2_filter_2(k19_filter_2(X224,X225),X224) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
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_18]) ).
cnf(c_0_29,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_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_30,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_32,plain,
! [X89,X90] :
( ( ~ m1_subset_1(X90,X89)
| r2_hidden(X90,X89)
| v1_xboole_0(X89) )
& ( ~ r2_hidden(X90,X89)
| m1_subset_1(X90,X89)
| v1_xboole_0(X89) )
& ( ~ m1_subset_1(X90,X89)
| v1_xboole_0(X90)
| ~ v1_xboole_0(X89) )
& ( ~ v1_xboole_0(X90)
| m1_subset_1(X90,X89)
| ~ v1_xboole_0(X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_33,plain,
! [X182] : m1_subset_1(esk16_1(X182),X182),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
inference(fof_simplification,[status(thm)],[t38_filter_2]) ).
fof(c_0_35,plain,
! [X76,X77] :
( ( r1_filter_2(u1_struct_0(X76),k19_filter_2(X76,X77),k17_filter_2(X76))
| ~ v14_lattices(X76)
| ~ r2_hidden(k6_lattices(X76),X77)
| v1_xboole_0(X77)
| ~ m1_subset_1(X77,k1_zfmisc_1(u1_struct_0(X76)))
| v3_struct_0(X76)
| ~ v10_lattices(X76)
| ~ l3_lattices(X76) )
& ( k19_filter_2(X76,X77) = u1_struct_0(X76)
| ~ v14_lattices(X76)
| ~ r2_hidden(k6_lattices(X76),X77)
| v1_xboole_0(X77)
| ~ m1_subset_1(X77,k1_zfmisc_1(u1_struct_0(X76)))
| v3_struct_0(X76)
| ~ v10_lattices(X76)
| ~ l3_lattices(X76) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
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_28,c_0_29]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_38,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_39,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
fof(c_0_40,plain,
! [X212,X213,X214] :
( ~ r2_hidden(X212,X213)
| ~ m1_subset_1(X213,k1_zfmisc_1(X214))
| ~ v1_xboole_0(X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_41,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
m1_subset_1(esk16_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X68,X69] :
( v3_struct_0(X68)
| ~ v10_lattices(X68)
| ~ l3_lattices(X68)
| ~ m2_filter_2(X69,X68)
| r1_filter_2(u1_struct_0(X68),k19_filter_2(X68,X69),X69) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_44,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk2_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_36,c_0_37]),c_0_21]),c_0_22])]),c_0_23]),c_0_38]) ).
fof(c_0_46,plain,
! [X60,X61,X62] :
( ( ~ r1_filter_2(X60,X61,X62)
| X61 = X62
| v1_xboole_0(X60)
| ~ m1_subset_1(X61,k1_zfmisc_1(X60))
| ~ m1_subset_1(X62,k1_zfmisc_1(X60)) )
& ( X61 != X62
| r1_filter_2(X60,X61,X62)
| v1_xboole_0(X60)
| ~ m1_subset_1(X61,k1_zfmisc_1(X60))
| ~ m1_subset_1(X62,k1_zfmisc_1(X60)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_47,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( v1_xboole_0(X1)
| r2_hidden(esk16_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_49,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]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_52,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_53,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,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_19,c_0_45]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_54,plain,
( r1_filter_2(X3,X1,X2)
| v1_xboole_0(X3)
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_56,plain,
! [X74] :
( v3_struct_0(X74)
| ~ v10_lattices(X74)
| ~ l3_lattices(X74)
| k17_filter_2(X74) = u1_struct_0(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
cnf(c_0_57,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_58,negated_conjecture,
k19_filter_2(esk1_0,esk2_0) = 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_51,c_0_31]),c_0_52]),c_0_21]),c_0_22]),c_0_37])]),c_0_23]) ).
cnf(c_0_59,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,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_28,c_0_53]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_60,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_37]),c_0_38]) ).
cnf(c_0_62,negated_conjecture,
( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0))
| esk2_0 != u1_struct_0(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_63,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_56]) ).
cnf(c_0_64,plain,
( X2 = X3
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_65,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_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_62,c_0_63]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_69,negated_conjecture,
u1_struct_0(esk1_0) = esk2_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_64,c_0_65]),c_0_37])]),c_0_61]),c_0_66])]) ).
cnf(c_0_70,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_58]),c_0_58]) ).
cnf(c_0_71,negated_conjecture,
~ r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]),c_0_69])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_69]),c_0_69]),c_0_69]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.13/2.23 % Problem : LAT313+4 : TPTP v8.1.2. Released v3.4.0.
% 2.21/2.26 % Command : run_E %s %d THM
% 2.25/2.45 % Computer : n024.cluster.edu
% 2.25/2.45 % Model : x86_64 x86_64
% 2.25/2.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.25/2.45 % Memory : 8042.1875MB
% 2.25/2.45 % OS : Linux 3.10.0-693.el7.x86_64
% 2.25/2.45 % CPULimit : 2400
% 2.25/2.45 % WCLimit : 300
% 2.25/2.45 % DateTime : Mon Oct 2 09:55:49 EDT 2023
% 2.25/2.45 % CPUTime :
% 13.62/13.81 Running first-order theorem proving
% 13.62/13.81 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.w4IlOpSARB/E---3.1_27674.p
% 20.19/16.43 # Version: 3.1pre001
% 20.19/16.43 # Preprocessing class: FMLLMLLLSSSNFFN.
% 20.19/16.43 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 20.19/16.43 # Starting new_bool_3 with 897s (3) cores
% 20.19/16.43 # Starting new_bool_1 with 897s (3) cores
% 20.19/16.43 # Starting sh5l with 299s (1) cores
% 20.19/16.43 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 20.19/16.43 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 28264 completed with status 0
% 20.19/16.43 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 20.19/16.43 # Preprocessing class: FMLLMLLLSSSNFFN.
% 20.19/16.43 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 20.19/16.43 # Starting new_bool_3 with 897s (3) cores
% 20.19/16.43 # Starting new_bool_1 with 897s (3) cores
% 20.19/16.43 # Starting sh5l with 299s (1) cores
% 20.19/16.43 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 20.19/16.43 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 20.19/16.43 # Search class: FGHSS-FSLM31-MFFFFFNN
% 20.19/16.43 # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 20.19/16.43 # Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 20.19/16.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 20.19/16.43 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 28265 completed with status 0
% 20.19/16.43 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 20.19/16.43 # Preprocessing class: FMLLMLLLSSSNFFN.
% 20.19/16.43 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 20.19/16.43 # Starting new_bool_3 with 897s (3) cores
% 20.19/16.43 # Starting new_bool_1 with 897s (3) cores
% 20.19/16.43 # Starting sh5l with 299s (1) cores
% 20.19/16.43 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 20.19/16.43 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 20.19/16.43 # Search class: FGHSS-FSLM31-MFFFFFNN
% 20.19/16.43 # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 20.19/16.43 # Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 20.19/16.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 20.19/16.43 # Preprocessing time : 0.024 s
% 20.19/16.43 # Presaturation interreduction done
% 20.19/16.43
% 20.19/16.43 # Proof found!
% 20.19/16.43 # SZS status Theorem
% 20.19/16.43 # SZS output start CNFRefutation
% See solution above
% 20.19/16.43 # Parsed axioms : 34706
% 20.19/16.43 # Removed by relevancy pruning/SinE : 34498
% 20.19/16.43 # Initial clauses : 507
% 20.19/16.43 # Removed in clause preprocessing : 19
% 20.19/16.43 # Initial clauses in saturation : 488
% 20.19/16.43 # Processed clauses : 2394
% 20.19/16.43 # ...of these trivial : 7
% 20.19/16.43 # ...subsumed : 994
% 20.19/16.43 # ...remaining for further processing : 1392
% 20.19/16.43 # Other redundant clauses eliminated : 23
% 20.19/16.43 # Clauses deleted for lack of memory : 0
% 20.19/16.43 # Backward-subsumed : 18
% 20.19/16.43 # Backward-rewritten : 179
% 20.19/16.43 # Generated clauses : 7474
% 20.19/16.43 # ...of the previous two non-redundant : 7402
% 20.19/16.43 # ...aggressively subsumed : 0
% 20.19/16.43 # Contextual simplify-reflections : 45
% 20.19/16.43 # Paramodulations : 7453
% 20.19/16.43 # Factorizations : 2
% 20.19/16.43 # NegExts : 0
% 20.19/16.43 # Equation resolutions : 23
% 20.19/16.43 # Total rewrite steps : 1476
% 20.19/16.43 # Propositional unsat checks : 0
% 20.19/16.43 # Propositional check models : 0
% 20.19/16.43 # Propositional check unsatisfiable : 0
% 20.19/16.43 # Propositional clauses : 0
% 20.19/16.43 # Propositional clauses after purity: 0
% 20.19/16.43 # Propositional unsat core size : 0
% 20.19/16.43 # Propositional preprocessing time : 0.000
% 20.19/16.43 # Propositional encoding time : 0.000
% 20.19/16.43 # Propositional solver time : 0.000
% 20.19/16.43 # Success case prop preproc time : 0.000
% 20.19/16.43 # Success case prop encoding time : 0.000
% 20.19/16.43 # Success case prop solver time : 0.000
% 20.19/16.43 # Current number of processed clauses : 739
% 20.19/16.43 # Positive orientable unit clauses : 116
% 20.19/16.43 # Positive unorientable unit clauses: 1
% 20.19/16.43 # Negative unit clauses : 116
% 20.19/16.43 # Non-unit-clauses : 506
% 20.19/16.43 # Current number of unprocessed clauses: 5939
% 20.19/16.43 # ...number of literals in the above : 23199
% 20.19/16.43 # Current number of archived formulas : 0
% 20.19/16.43 # Current number of archived clauses : 644
% 20.19/16.43 # Clause-clause subsumption calls (NU) : 122606
% 20.19/16.43 # Rec. Clause-clause subsumption calls : 24956
% 20.19/16.43 # Non-unit clause-clause subsumptions : 402
% 20.19/16.43 # Unit Clause-clause subsumption calls : 6736
% 20.19/16.43 # Rewrite failures with RHS unbound : 0
% 20.19/16.43 # BW rewrite match attempts : 29
% 20.19/16.43 # BW rewrite match successes : 7
% 20.19/16.43 # Condensation attempts : 0
% 20.19/16.43 # Condensation successes : 0
% 20.19/16.43 # Termbank termtop insertions : 1185190
% 20.19/16.43
% 20.19/16.43 # -------------------------------------------------
% 20.19/16.43 # User time : 0.682 s
% 20.19/16.43 # System time : 0.111 s
% 20.19/16.43 # Total time : 0.793 s
% 20.19/16.43 # Maximum resident set size: 67936 pages
% 20.19/16.43
% 20.19/16.43 # -------------------------------------------------
% 20.19/16.43 # User time : 2.373 s
% 20.19/16.43 # System time : 0.168 s
% 20.19/16.43 # Total time : 2.541 s
% 20.19/16.43 # Maximum resident set size: 53792 pages
% 20.19/16.43 % E---3.1 exiting
% 20.19/16.44 % E---3.1 exiting
%------------------------------------------------------------------------------