TSTP Solution File: LAT337+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT337+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 18:10:47 EDT 2023
% Result : Timeout 1.25s 300.36s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 12 unt; 0 def)
% Number of atoms : 539 ( 0 equ)
% Maximal formula atoms : 65 ( 8 avg)
% Number of connectives : 780 ( 301 ~; 316 |; 127 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t87_filter_2,conjecture,
! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',t87_filter_2) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',cc6_lattices) ).
fof(t86_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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',t86_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',cc5_lattices) ).
fof(t78_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',t78_filter_2) ).
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',dt_k22_filter_2) ).
fof(cc7_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p',cc7_lattices) ).
fof(c_0_7,negated_conjecture,
~ ! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t87_filter_2])]) ).
fof(c_0_8,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
fof(c_0_9,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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t86_filter_2]) ).
fof(c_0_10,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_11,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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& r3_lattices(esk1_0,esk2_0,esk3_0)
& ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,plain,
! [X38] :
( ( ~ v3_struct_0(X38)
| v3_struct_0(X38)
| ~ v11_lattices(X38)
| ~ v15_lattices(X38)
| ~ v16_lattices(X38)
| ~ l3_lattices(X38) )
& ( v17_lattices(X38)
| v3_struct_0(X38)
| ~ v11_lattices(X38)
| ~ v15_lattices(X38)
| ~ v16_lattices(X38)
| ~ l3_lattices(X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X31,X32,X33] :
( ( ~ v3_struct_0(k23_filter_2(X31,k22_filter_2(X31,X32,X33)))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ v15_lattices(X31)
| ~ v16_lattices(X31)
| ~ l3_lattices(X31)
| ~ v12_lattices(X31)
| ~ r3_lattices(X31,X32,X33)
| ~ m1_subset_1(X33,u1_struct_0(X31))
| ~ m1_subset_1(X32,u1_struct_0(X31))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
& ( v10_lattices(k23_filter_2(X31,k22_filter_2(X31,X32,X33)))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ v15_lattices(X31)
| ~ v16_lattices(X31)
| ~ l3_lattices(X31)
| ~ v12_lattices(X31)
| ~ r3_lattices(X31,X32,X33)
| ~ m1_subset_1(X33,u1_struct_0(X31))
| ~ m1_subset_1(X32,u1_struct_0(X31))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
& ( v15_lattices(k23_filter_2(X31,k22_filter_2(X31,X32,X33)))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ v15_lattices(X31)
| ~ v16_lattices(X31)
| ~ l3_lattices(X31)
| ~ v12_lattices(X31)
| ~ r3_lattices(X31,X32,X33)
| ~ m1_subset_1(X33,u1_struct_0(X31))
| ~ m1_subset_1(X32,u1_struct_0(X31))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
& ( v16_lattices(k23_filter_2(X31,k22_filter_2(X31,X32,X33)))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ v15_lattices(X31)
| ~ v16_lattices(X31)
| ~ l3_lattices(X31)
| ~ v12_lattices(X31)
| ~ r3_lattices(X31,X32,X33)
| ~ m1_subset_1(X33,u1_struct_0(X31))
| ~ m1_subset_1(X32,u1_struct_0(X31))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) )
& ( l3_lattices(k23_filter_2(X31,k22_filter_2(X31,X32,X33)))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ v15_lattices(X31)
| ~ v16_lattices(X31)
| ~ l3_lattices(X31)
| ~ v12_lattices(X31)
| ~ r3_lattices(X31,X32,X33)
| ~ m1_subset_1(X33,u1_struct_0(X31))
| ~ m1_subset_1(X32,u1_struct_0(X31))
| v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_14,plain,
! [X37] :
( ( ~ v3_struct_0(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) )
& ( v11_lattices(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) )
& ( v13_lattices(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) )
& ( v14_lattices(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) )
& ( v15_lattices(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) )
& ( v16_lattices(X37)
| v3_struct_0(X37)
| ~ v17_lattices(X37)
| ~ l3_lattices(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_15,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ 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_13]) ).
cnf(c_0_18,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t78_filter_2]) ).
cnf(c_0_24,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_27,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_32,plain,
! [X29,X30] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| v1_xboole_0(X30)
| ~ m2_lattice4(X30,X29)
| ~ v11_lattices(X29)
| v11_lattices(k23_filter_2(X29,X30)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_33,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
v11_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_37,plain,
( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ 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_13]) ).
fof(c_0_38,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).
cnf(c_0_39,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ v12_lattices(esk1_0)
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
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_34,c_0_35]),c_0_36]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_37]) ).
fof(c_0_41,plain,
! [X34,X35,X36] :
( ( ~ v1_xboole_0(k22_filter_2(X34,X35,X36))
| v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ l3_lattices(X34)
| ~ m1_subset_1(X35,u1_struct_0(X34))
| ~ m1_subset_1(X36,u1_struct_0(X34)) )
& ( m2_lattice4(k22_filter_2(X34,X35,X36),X34)
| v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ l3_lattices(X34)
| ~ m1_subset_1(X35,u1_struct_0(X34))
| ~ m1_subset_1(X36,u1_struct_0(X34)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_42,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_43,plain,
( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_44,plain,
( v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ 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_13]) ).
cnf(c_0_45,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_46,plain,
( v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_44]) ).
cnf(c_0_47,plain,
( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ 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_13]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ 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_13]) ).
cnf(c_0_49,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
fof(c_0_53,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_lattices]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| ~ v12_lattices(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
fof(c_0_56,plain,
! [X81] :
( ( ~ v3_struct_0(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v4_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v5_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v6_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v7_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v8_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v9_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v10_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) )
& ( v12_lattices(X81)
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ v11_lattices(X81)
| ~ l3_lattices(X81) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_57,negated_conjecture,
~ v12_lattices(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_54,c_0_55]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_58,plain,
( v12_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_59,negated_conjecture,
$false,
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_57,c_0_58]),c_0_36]),c_0_20]),c_0_31])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT337+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 10:18:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.h5nFujPhO1/E---3.1_22200.p
% 1.25/300.36 # Version: 3.1pre001
% 1.25/300.36 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.25/300.36 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/300.36 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.25/300.36 # Starting new_bool_3 with 300s (1) cores
% 1.25/300.36 # Starting new_bool_1 with 300s (1) cores
% 1.25/300.36 # Starting sh5l with 300s (1) cores
% 1.25/300.36 # sh5l with pid 22398 completed with status 0
% 1.25/300.36 # Result found by sh5l
% 1.25/300.36 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.25/300.36 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/300.36 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.25/300.36 # Starting new_bool_3 with 300s (1) cores
% 1.25/300.36 # Starting new_bool_1 with 300s (1) cores
% 1.25/300.36 # Starting sh5l with 300s (1) cores
% 1.25/300.36 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.25/300.36 # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.25/300.36 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.25/300.36 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.25/300.36 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 22411 completed with status 0
% 1.25/300.36 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 1.25/300.36 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.25/300.36 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/300.36 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.25/300.36 # Starting new_bool_3 with 300s (1) cores
% 1.25/300.36 # Starting new_bool_1 with 300s (1) cores
% 1.25/300.36 # Starting sh5l with 300s (1) cores
% 1.25/300.36 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.25/300.36 # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.25/300.36 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.25/300.36 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.25/300.36 # Preprocessing time : 0.006 s
% 1.25/300.36
% 1.25/300.36 # Proof found!
% 1.25/300.36 # SZS status Theorem
% 1.25/300.36 # SZS output start CNFRefutation
% See solution above
% 1.25/300.36 # Parsed axioms : 83
% 1.25/300.36 # Removed by relevancy pruning/SinE : 9
% 1.25/300.36 # Initial clauses : 237
% 1.25/300.36 # Removed in clause preprocessing : 10
% 1.25/300.36 # Initial clauses in saturation : 227
% 1.25/300.36 # Processed clauses : 285
% 1.25/300.36 # ...of these trivial : 3
% 1.25/300.36 # ...subsumed : 25
% 1.25/300.36 # ...remaining for further processing : 257
% 1.25/300.36 # Other redundant clauses eliminated : 0
% 1.25/300.36 # Clauses deleted for lack of memory : 0
% 1.25/300.36 # Backward-subsumed : 10
% 1.25/300.36 # Backward-rewritten : 4
% 1.25/300.36 # Generated clauses : 154
% 1.25/300.36 # ...of the previous two non-redundant : 126
% 1.25/300.36 # ...aggressively subsumed : 0
% 1.25/300.36 # Contextual simplify-reflections : 1
% 1.25/300.36 # Paramodulations : 154
% 1.25/300.36 # Factorizations : 0
% 1.25/300.36 # NegExts : 0
% 1.25/300.36 # Equation resolutions : 0
% 1.25/300.36 # Total rewrite steps : 123
% 1.25/300.36 # Propositional unsat checks : 0
% 1.25/300.36 # Propositional check models : 0
% 1.25/300.36 # Propositional check unsatisfiable : 0
% 1.25/300.36 # Propositional clauses : 0
% 1.25/300.36 # Propositional clauses after purity: 0
% 1.25/300.36 # Propositional unsat core size : 0
% 1.25/300.36 # Propositional preprocessing time : 0.000
% 1.25/300.36 # Propositional encoding time : 0.000
% 1.25/300.36 # Propositional solver time : 0.000
% 1.25/300.36 # Success case prop preproc time : 0.000
% 1.25/300.36 # Success case prop encoding time : 0.000
% 1.25/300.36 # Success case prop solver time : 0.000
% 1.25/300.36 # Current number of processed clauses : 243
% 1.25/300.36 # Positive orientable unit clauses : 100
% 1.25/300.36 # Positive unorientable unit clauses: 1
% 1.25/300.36 # Negative unit clauses : 12
% 1.25/300.36 # Non-unit-clauses : 130
% 1.25/300.36 # Current number of unprocessed clauses: 61
% 1.25/300.36 # ...number of literals in the above : 231
% 1.25/300.36 # Current number of archived formulas : 0
% 1.25/300.36 # Current number of archived clauses : 14
% 1.25/300.36 # Clause-clause subsumption calls (NU) : 8054
% 1.25/300.36 # Rec. Clause-clause subsumption calls : 1348
% 1.25/300.36 # Non-unit clause-clause subsumptions : 33
% 1.25/300.36 # Unit Clause-clause subsumption calls : 1758
% 1.25/300.36 # Rewrite failures with RHS unbound : 0
% 1.25/300.36 # BW rewrite match attempts : 16
% 1.25/300.36 # BW rewrite match successes : 8
% 1.25/300.36 # Condensation attempts : 0
% 1.25/300.36 # Condensation successes : 0
% 1.25/300.36 # Termbank termtop insertions : 14809
% 1.25/300.36
% 1.25/300.36 # -------------------------------------------------
% 1.25/300.36 # User time : 0.029 s
% 1.25/300.36 # System time : 0.009 s
% 1.25/300.36 # Total time : 0.038 s
% 1.25/300.36 # Maximum resident set size: 2432 pages
% 1.25/300.36
% 1.25/300.36 # -------------------------------------------------
% 1.25/300.36 # User time : 0.030 s
% 1.25/300.36 # System time : 0.011 s
% 1.25/300.36 # Total time : 0.041 s
% 1.25/300.36 # Maximum resident set size: 1768 pages
% 1.25/300.36 % E---3.1 exiting
%------------------------------------------------------------------------------