TSTP Solution File: LAT304+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT304+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 18:08:28 EDT 2023
% Result : Theorem 551.96s 73.59s
% Output : CNFRefutation 551.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 12 unt; 0 def)
% Number of atoms : 357 ( 0 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 474 ( 170 ~; 195 |; 62 &)
% ( 10 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-3 aty)
% Number of variables : 89 ( 1 sgn; 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',t15_filter_0) ).
fof(t28_filter_2,conjecture,
! [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.xUgXdgYoEo/E---3.1_29876.p',t28_filter_2) ).
fof(t10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',t10_lattice4) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',dt_m1_filter_0) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(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(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',d10_lattice4) ).
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.xUgXdgYoEo/E---3.1_29876.p',dt_m2_lattice4) ).
fof(d3_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,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) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',d3_filter_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',t4_subset) ).
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.xUgXdgYoEo/E---3.1_29876.p',d2_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p',t7_boole) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_filter_2])]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t10_lattice4]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_14,plain,
! [X287] :
( v3_struct_0(X287)
| ~ v10_lattices(X287)
| ~ l3_lattices(X287)
| m1_filter_0(u1_struct_0(X287),X287) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(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(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_lattice4]) ).
fof(c_0_17,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_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,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) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_filter_2]) ).
fof(c_0_19,plain,
! [X56] :
( v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56)
| m2_lattice4(u1_struct_0(X56),X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_20,plain,
! [X288,X289] :
( ( ~ v1_xboole_0(X289)
| ~ m1_filter_0(X289,X288)
| v3_struct_0(X288)
| ~ v10_lattices(X288)
| ~ l3_lattices(X288) )
& ( m1_subset_1(X289,k1_zfmisc_1(u1_struct_0(X288)))
| ~ m1_filter_0(X289,X288)
| v3_struct_0(X288)
| ~ v10_lattices(X288)
| ~ l3_lattices(X288) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,plain,
! [X50,X51,X52,X53] :
( ( r2_hidden(k4_lattices(X50,X52,X53),X51)
| ~ r2_hidden(X52,X51)
| ~ r2_hidden(X53,X51)
| ~ m1_subset_1(X53,u1_struct_0(X50))
| ~ m1_subset_1(X52,u1_struct_0(X50))
| ~ m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( r2_hidden(k3_lattices(X50,X52,X53),X51)
| ~ r2_hidden(X52,X51)
| ~ r2_hidden(X53,X51)
| ~ m1_subset_1(X53,u1_struct_0(X50))
| ~ m1_subset_1(X52,u1_struct_0(X50))
| ~ m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( m1_subset_1(esk10_2(X50,X51),u1_struct_0(X50))
| m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( m1_subset_1(esk11_2(X50,X51),u1_struct_0(X50))
| m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( r2_hidden(esk10_2(X50,X51),X51)
| m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( r2_hidden(esk11_2(X50,X51),X51)
| m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( ~ r2_hidden(k4_lattices(X50,esk10_2(X50,X51),esk11_2(X50,X51)),X51)
| ~ r2_hidden(k3_lattices(X50,esk10_2(X50,X51),esk11_2(X50,X51)),X51)
| m2_lattice4(X51,X50)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) ) ),
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_16])])])])]) ).
fof(c_0_26,plain,
! [X116,X117,X118] :
( ~ r2_hidden(X116,X117)
| ~ m1_subset_1(X117,k1_zfmisc_1(X118))
| m1_subset_1(X116,X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_27,plain,
! [X59,X60] :
( v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59)
| ~ m2_lattice4(X60,X59)
| m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_28,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_29,plain,
! [X20,X21,X22,X23] :
( ( ~ r2_hidden(X22,X21)
| ~ r2_hidden(X23,X21)
| r2_hidden(k3_lattices(X20,X22,X23),X21)
| ~ m1_subset_1(X23,u1_struct_0(X20))
| ~ m1_subset_1(X22,u1_struct_0(X20))
| ~ m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( r2_hidden(X22,X21)
| ~ r2_hidden(k3_lattices(X20,X22,X23),X21)
| ~ m1_subset_1(X23,u1_struct_0(X20))
| ~ m1_subset_1(X22,u1_struct_0(X20))
| ~ m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( r2_hidden(X23,X21)
| ~ r2_hidden(k3_lattices(X20,X22,X23),X21)
| ~ m1_subset_1(X23,u1_struct_0(X20))
| ~ m1_subset_1(X22,u1_struct_0(X20))
| ~ m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( m1_subset_1(esk3_2(X20,X21),u1_struct_0(X20))
| m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( m1_subset_1(esk4_2(X20,X21),u1_struct_0(X20))
| m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( ~ r2_hidden(esk3_2(X20,X21),X21)
| ~ r2_hidden(esk4_2(X20,X21),X21)
| ~ r2_hidden(k3_lattices(X20,esk3_2(X20,X21),esk4_2(X20,X21)),X21)
| m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( r2_hidden(esk3_2(X20,X21),X21)
| r2_hidden(k3_lattices(X20,esk3_2(X20,X21),esk4_2(X20,X21)),X21)
| m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) )
& ( r2_hidden(esk4_2(X20,X21),X21)
| r2_hidden(k3_lattices(X20,esk3_2(X20,X21),esk4_2(X20,X21)),X21)
| m2_filter_2(X21,X20)
| v1_xboole_0(X21)
| ~ m2_lattice4(X21,X20)
| v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20) ) ),
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_18])])])])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| m2_lattice4(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_33,plain,
( r2_hidden(k3_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X4)
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,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_26]) ).
cnf(c_0_35,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_27]) ).
fof(c_0_36,plain,
! [X73,X74] :
( ~ r2_hidden(X73,X74)
| ~ v1_xboole_0(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_37,plain,
! [X82,X83] :
( ( ~ m1_subset_1(X83,X82)
| r2_hidden(X83,X82)
| v1_xboole_0(X82) )
& ( ~ r2_hidden(X83,X82)
| m1_subset_1(X83,X82)
| v1_xboole_0(X82) )
& ( ~ m1_subset_1(X83,X82)
| v1_xboole_0(X83)
| ~ v1_xboole_0(X82) )
& ( ~ v1_xboole_0(X83)
| m1_subset_1(X83,X82)
| ~ v1_xboole_0(X82) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_38,plain,
( m1_subset_1(esk3_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
m2_lattice4(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_40,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_42,plain,
( m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
( m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ r2_hidden(esk3_2(X1,X2),X2)
| ~ r2_hidden(esk4_2(X1,X2),X2)
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk3_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_38,c_0_39]),c_0_22]),c_0_23])]),c_0_40]),c_0_24]),c_0_41]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk4_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_42,c_0_39]),c_0_22]),c_0_23])]),c_0_40]),c_0_24]),c_0_41]) ).
cnf(c_0_49,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ r2_hidden(esk3_2(X2,X1),X1)
| ~ r2_hidden(esk4_2(X2,X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
r2_hidden(esk3_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_41]) ).
cnf(c_0_51,negated_conjecture,
r2_hidden(esk4_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_41]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]),c_0_22]),c_0_23])]),c_0_40]),c_0_24]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.98/1.04 % Problem : LAT304+3 : TPTP v8.1.2. Released v3.4.0.
% 1.06/1.06 % Command : run_E %s %d THM
% 1.09/1.27 % Computer : n010.cluster.edu
% 1.09/1.27 % Model : x86_64 x86_64
% 1.09/1.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.09/1.27 % Memory : 8042.1875MB
% 1.09/1.27 % OS : Linux 3.10.0-693.el7.x86_64
% 1.09/1.27 % CPULimit : 2400
% 1.09/1.27 % WCLimit : 300
% 1.09/1.28 % DateTime : Mon Oct 2 09:48:52 EDT 2023
% 1.09/1.28 % CPUTime :
% 3.25/3.43 Running first-order theorem proving
% 3.25/3.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xUgXdgYoEo/E---3.1_29876.p
% 551.96/73.59 # Version: 3.1pre001
% 551.96/73.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 551.96/73.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 551.96/73.59 # Starting new_bool_3 with 900s (3) cores
% 551.96/73.59 # Starting new_bool_1 with 900s (3) cores
% 551.96/73.59 # Starting sh5l with 300s (1) cores
% 551.96/73.59 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 551.96/73.59 # new_bool_3 with pid 29956 completed with status 0
% 551.96/73.59 # Result found by new_bool_3
% 551.96/73.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 551.96/73.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 551.96/73.59 # Starting new_bool_3 with 900s (3) cores
% 551.96/73.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 551.96/73.59 # Search class: FGHSM-FMLM32-MFFFFFNN
% 551.96/73.59 # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 551.96/73.59 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 551.96/73.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 551.96/73.59 # Starting new_bool_3 with 91s (1) cores
% 551.96/73.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 551.96/73.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 29961 completed with status 7
% 551.96/73.59 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 551.96/73.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 29963 completed with status 7
% 551.96/73.59 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 68s (1) cores
% 551.96/73.59 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 30261 completed with status 0
% 551.96/73.59 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 551.96/73.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 551.96/73.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 551.96/73.59 # Starting new_bool_3 with 900s (3) cores
% 551.96/73.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 551.96/73.59 # Search class: FGHSM-FMLM32-MFFFFFNN
% 551.96/73.59 # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 551.96/73.59 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 551.96/73.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 551.96/73.59 # Starting new_bool_3 with 91s (1) cores
% 551.96/73.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 551.96/73.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 29961 completed with status 7
% 551.96/73.59 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 551.96/73.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 29963 completed with status 7
% 551.96/73.59 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 68s (1) cores
% 551.96/73.59 # Preprocessing time : 0.028 s
% 551.96/73.59
% 551.96/73.59 # Proof found!
% 551.96/73.59 # SZS status Theorem
% 551.96/73.59 # SZS output start CNFRefutation
% See solution above
% 551.96/73.59 # Parsed axioms : 13611
% 551.96/73.59 # Removed by relevancy pruning/SinE : 13256
% 551.96/73.59 # Initial clauses : 974
% 551.96/73.59 # Removed in clause preprocessing : 52
% 551.96/73.59 # Initial clauses in saturation : 922
% 551.96/73.59 # Processed clauses : 1819
% 551.96/73.59 # ...of these trivial : 35
% 551.96/73.59 # ...subsumed : 391
% 551.96/73.59 # ...remaining for further processing : 1392
% 551.96/73.59 # Other redundant clauses eliminated : 74
% 551.96/73.59 # Clauses deleted for lack of memory : 0
% 551.96/73.59 # Backward-subsumed : 8
% 551.96/73.59 # Backward-rewritten : 18
% 551.96/73.59 # Generated clauses : 13612
% 551.96/73.59 # ...of the previous two non-redundant : 12886
% 551.96/73.59 # ...aggressively subsumed : 0
% 551.96/73.59 # Contextual simplify-reflections : 69
% 551.96/73.59 # Paramodulations : 13287
% 551.96/73.59 # Factorizations : 164
% 551.96/73.59 # NegExts : 0
% 551.96/73.59 # Equation resolutions : 167
% 551.96/73.59 # Total rewrite steps : 2830
% 551.96/73.59 # Propositional unsat checks : 0
% 551.96/73.59 # Propositional check models : 0
% 551.96/73.59 # Propositional check unsatisfiable : 0
% 551.96/73.59 # Propositional clauses : 0
% 551.96/73.59 # Propositional clauses after purity: 0
% 551.96/73.59 # Propositional unsat core size : 0
% 551.96/73.59 # Propositional preprocessing time : 0.000
% 551.96/73.59 # Propositional encoding time : 0.000
% 551.96/73.59 # Propositional solver time : 0.000
% 551.96/73.59 # Success case prop preproc time : 0.000
% 551.96/73.59 # Success case prop encoding time : 0.000
% 551.96/73.59 # Success case prop solver time : 0.000
% 551.96/73.59 # Current number of processed clauses : 1353
% 551.96/73.59 # Positive orientable unit clauses : 206
% 551.96/73.59 # Positive unorientable unit clauses: 0
% 551.96/73.59 # Negative unit clauses : 127
% 551.96/73.59 # Non-unit-clauses : 1020
% 551.96/73.59 # Current number of unprocessed clauses: 11947
% 551.96/73.59 # ...number of literals in the above : 63322
% 551.96/73.59 # Current number of archived formulas : 0
% 551.96/73.59 # Current number of archived clauses : 26
% 551.96/73.59 # Clause-clause subsumption calls (NU) : 384515
% 551.96/73.59 # Rec. Clause-clause subsumption calls : 42190
% 551.96/73.59 # Non-unit clause-clause subsumptions : 247
% 551.96/73.59 # Unit Clause-clause subsumption calls : 65989
% 551.96/73.59 # Rewrite failures with RHS unbound : 0
% 551.96/73.59 # BW rewrite match attempts : 50
% 551.96/73.59 # BW rewrite match successes : 14
% 551.96/73.59 # Condensation attempts : 0
% 551.96/73.59 # Condensation successes : 0
% 551.96/73.59 # Termbank termtop insertions : 664483
% 551.96/73.59
% 551.96/73.59 # -------------------------------------------------
% 551.96/73.59 # User time : 134.302 s
% 551.96/73.59 # System time : 2.489 s
% 551.96/73.59 # Total time : 136.790 s
% 551.96/73.59 # Maximum resident set size: 26256 pages
% 551.96/73.59
% 551.96/73.59 # -------------------------------------------------
% 551.96/73.59 # User time : 203.463 s
% 551.96/73.59 # System time : 2.529 s
% 551.96/73.59 # Total time : 205.992 s
% 551.96/73.59 # Maximum resident set size: 19972 pages
% 551.96/73.59 % E---3.1 exiting
% 551.96/73.60 % E---3.1 exiting
%------------------------------------------------------------------------------