TSTP Solution File: LAT337+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:47:22 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 18 unt; 0 def)
% Number of atoms : 469 ( 0 equ)
% Maximal formula atoms : 65 ( 7 avg)
% Number of connectives : 688 ( 280 ~; 299 |; 87 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 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 : 71 ( 0 sgn 28 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t87_filter_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc5_lattices) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc6_lattices) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc7_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k22_filter_2) ).
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(assume_negation,[status(cth)],[t87_filter_2]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v15_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v16_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t86_filter_2])])])])])])]) ).
fof(c_0_9,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v16_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc5_lattices])])])]) ).
fof(c_0_10,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_11,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( v3_struct_0(X1)
| v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_19,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) )
& ( v17_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc6_lattices])])])]) ).
cnf(c_0_20,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_11]) ).
cnf(c_0_21,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14])]),c_0_15]) ).
fof(c_0_27,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v12_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc7_lattices])])])]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,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_17]) ).
cnf(c_0_30,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_18]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( v3_struct_0(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)))
| ~ v17_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(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_20,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]),c_0_15]),c_0_25]),c_0_26])]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
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_28,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( ~ v12_lattices(esk1_0)
| ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_29,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]),c_0_15]),c_0_25]),c_0_26])]) ).
cnf(c_0_38,negated_conjecture,
( l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_30,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]),c_0_15]),c_0_25]),c_0_26])]) ).
cnf(c_0_39,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_31]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,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_32,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
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_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(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_37,c_0_35]),c_0_36]),c_0_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_44,negated_conjecture,
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(spm,[status(thm)],[c_0_38,c_0_35]),c_0_36]),c_0_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_39,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]),c_0_15]),c_0_25]),c_0_26])]) ).
cnf(c_0_46,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_40]) ).
cnf(c_0_47,negated_conjecture,
( ~ 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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),c_0_43]),c_0_44])]) ).
cnf(c_0_48,negated_conjecture,
v15_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_45,c_0_35]),c_0_36]),c_0_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_49,negated_conjecture,
( v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_46,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]),c_0_15]),c_0_25]),c_0_26])]) ).
cnf(c_0_50,negated_conjecture,
( ~ 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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_51,negated_conjecture,
v16_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_49,c_0_35]),c_0_36]),c_0_14]),c_0_24])]),c_0_15]) ).
fof(c_0_52,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3)
| ~ v11_lattices(X3)
| v11_lattices(k23_filter_2(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t78_filter_2])])])])])]) ).
cnf(c_0_53,negated_conjecture,
~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_54,plain,
( v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_55,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k22_filter_2])])])]) ).
cnf(c_0_56,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_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_53,c_0_54]),c_0_36]),c_0_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_57,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_58,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
v1_xboole_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_56,c_0_57]),c_0_23]),c_0_22]),c_0_14]),c_0_24])]),c_0_15]) ).
cnf(c_0_60,negated_conjecture,
$false,
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_58,c_0_59]),c_0_23]),c_0_22]),c_0_14]),c_0_24])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 02:14:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.022 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 61
% 0.22/1.41 # Proof object clause steps : 46
% 0.22/1.41 # Proof object formula steps : 15
% 0.22/1.41 # Proof object conjectures : 31
% 0.22/1.41 # Proof object clause conjectures : 28
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 21
% 0.22/1.41 # Proof object initial formulas used : 7
% 0.22/1.41 # Proof object generating inferences : 17
% 0.22/1.41 # Proof object simplifying inferences : 110
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 83
% 0.22/1.41 # Removed by relevancy pruning/SinE : 44
% 0.22/1.41 # Initial clauses : 168
% 0.22/1.41 # Removed in clause preprocessing : 8
% 0.22/1.41 # Initial clauses in saturation : 160
% 0.22/1.41 # Processed clauses : 198
% 0.22/1.41 # ...of these trivial : 2
% 0.22/1.41 # ...subsumed : 9
% 0.22/1.41 # ...remaining for further processing : 187
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 1
% 0.22/1.41 # Backward-rewritten : 16
% 0.22/1.41 # Generated clauses : 77
% 0.22/1.41 # ...of the previous two non-trivial : 67
% 0.22/1.41 # Contextual simplify-reflections : 7
% 0.22/1.41 # Paramodulations : 77
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 170
% 0.22/1.41 # Positive orientable unit clauses : 92
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 12
% 0.22/1.41 # Non-unit-clauses : 66
% 0.22/1.41 # Current number of unprocessed clauses: 26
% 0.22/1.41 # ...number of literals in the above : 145
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 17
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 2692
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 428
% 0.22/1.41 # Non-unit clause-clause subsumptions : 16
% 0.22/1.41 # Unit Clause-clause subsumption calls : 340
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 8
% 0.22/1.41 # BW rewrite match successes : 8
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 10384
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.027 s
% 0.22/1.41 # System time : 0.005 s
% 0.22/1.41 # Total time : 0.032 s
% 0.22/1.41 # Maximum resident set size: 3792 pages
%------------------------------------------------------------------------------