%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT337+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:59 PM UTC 2026
% Result : Theorem 80.97s 14.16s
% Output : CNFRefutation 90.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 18 unt; 0 def)
% Number of atoms : 687 ( 6 equ)
% Maximal formula atoms : 65 ( 8 avg)
% Number of connectives : 949 ( 346 ~; 359 |; 186 &)
% ( 0 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 109 ( 1 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t87_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r3_lattices(X1,X2,X3)
& l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
& ~ v1_xboole_0(k22_filter_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(t86_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( 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(X1) )
=> ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v17_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v16_lattices(X1)
& v15_lattices(X1)
& v14_lattices(X1)
& v13_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).
fof(t64_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X3,k22_filter_2(X1,X2,X3))
& r2_hidden(X2,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
fof(fc5_filter_2,axiom,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(cc7_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v12_lattices(X1)
& v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc7_lattices) ).
fof(t78_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v16_lattices(X1)
& v15_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).
fof(t84_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2
& k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_filter_2) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r3_lattices(X1,X2,X3)
& l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t87_filter_2]) ).
fof(c_0_12,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
& ~ v1_xboole_0(k22_filter_2(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r3_lattices(X1,X2,X3)
& l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( 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(X1) )
=> ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t86_filter_2]) ).
fof(c_0_15,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v17_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v16_lattices(X1)
& v15_lattices(X1)
& v14_lattices(X1)
& v13_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_16,plain,
! [X51,X52,X53] :
( ( ~ m1_subset_1(X53,u1_struct_0(X51))
| ~ m1_subset_1(X52,u1_struct_0(X51))
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| m2_lattice4(k22_filter_2(X51,X52,X53),X51) )
& ( ~ m1_subset_1(X53,u1_struct_0(X51))
| ~ m1_subset_1(X52,u1_struct_0(X51))
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| ~ v1_xboole_0(k22_filter_2(X51,X52,X53)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_17,negated_conjecture,
( ( ~ 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)))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) )
& r3_lattices(esk1_0,esk2_0,esk3_0)
& l3_lattices(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X3,k22_filter_2(X1,X2,X3))
& r2_hidden(X2,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t64_filter_2]) ).
fof(c_0_19,plain,
! [X71,X72,X73] :
( ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ m1_subset_1(X72,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X71))
| ~ r3_lattices(X71,X72,X73)
| ~ v12_lattices(X71)
| ~ l3_lattices(X71)
| ~ v16_lattices(X71)
| ~ v15_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| l3_lattices(k23_filter_2(X71,k22_filter_2(X71,X72,X73))) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ m1_subset_1(X72,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X71))
| ~ r3_lattices(X71,X72,X73)
| ~ v12_lattices(X71)
| ~ l3_lattices(X71)
| ~ v16_lattices(X71)
| ~ v15_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v16_lattices(k23_filter_2(X71,k22_filter_2(X71,X72,X73))) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ m1_subset_1(X72,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X71))
| ~ r3_lattices(X71,X72,X73)
| ~ v12_lattices(X71)
| ~ l3_lattices(X71)
| ~ v16_lattices(X71)
| ~ v15_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v15_lattices(k23_filter_2(X71,k22_filter_2(X71,X72,X73))) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ m1_subset_1(X72,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X71))
| ~ r3_lattices(X71,X72,X73)
| ~ v12_lattices(X71)
| ~ l3_lattices(X71)
| ~ v16_lattices(X71)
| ~ v15_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v10_lattices(k23_filter_2(X71,k22_filter_2(X71,X72,X73))) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ m1_subset_1(X72,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X71))
| ~ r3_lattices(X71,X72,X73)
| ~ v12_lattices(X71)
| ~ l3_lattices(X71)
| ~ v16_lattices(X71)
| ~ v15_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ v3_struct_0(k23_filter_2(X71,k22_filter_2(X71,X72,X73))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_20,plain,
! [X376] :
( ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| v16_lattices(X376) )
& ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| v15_lattices(X376) )
& ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| v14_lattices(X376) )
& ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| v13_lattices(X376) )
& ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| v11_lattices(X376) )
& ( ~ l3_lattices(X376)
| ~ v17_lattices(X376)
| v3_struct_0(X376)
| ~ v3_struct_0(X376) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_21,plain,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).
cnf(c_0_22,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k22_filter_2(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
! [X58,X59,X60] :
( ( ~ l3_lattices(X58)
| ~ v10_lattices(X58)
| v3_struct_0(X58)
| ~ m1_subset_1(X59,u1_struct_0(X58))
| ~ m1_subset_1(X60,u1_struct_0(X58))
| ~ r3_lattices(X58,X59,X60)
| r2_hidden(X60,k22_filter_2(X58,X59,X60)) )
& ( ~ l3_lattices(X58)
| ~ v10_lattices(X58)
| v3_struct_0(X58)
| ~ m1_subset_1(X59,u1_struct_0(X58))
| ~ m1_subset_1(X60,u1_struct_0(X58))
| ~ r3_lattices(X58,X59,X60)
| r2_hidden(X59,k22_filter_2(X58,X59,X60)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_28,plain,
( ~ 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(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_31,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v12_lattices(X1)
& v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_lattices]) ).
cnf(c_0_32,plain,
( ~ 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)))
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_33,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t78_filter_2]) ).
fof(c_0_34,plain,
! [X19,X20] :
( ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v10_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v9_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v8_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v7_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v6_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v5_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v4_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v3_lattices(k23_filter_2(X19,X20)) )
& ( ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ v3_struct_0(k23_filter_2(X19,X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| m2_lattice4(k22_filter_2(esk1_0,X1,esk3_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_22,c_0_23]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_37,plain,
! [X170,X171] :
( ~ v1_xboole_0(X171)
| ~ r2_hidden(X170,X171) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_38,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| r2_hidden(X1,k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v12_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1) ),
inference(cn,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25])]),c_0_26]) ).
fof(c_0_42,plain,
! [X271] :
( ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v12_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v10_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v9_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v8_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v7_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v6_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v5_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| v4_lattices(X271) )
& ( ~ l3_lattices(X271)
| ~ v11_lattices(X271)
| ~ v10_lattices(X271)
| v3_struct_0(X271)
| ~ v3_struct_0(X271) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_43,plain,
( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v12_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(cn,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( ~ 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(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_45,plain,
! [X39,X40] :
( v11_lattices(k23_filter_2(X39,X40))
| ~ v11_lattices(X39)
| ~ m2_lattice4(X40,X39)
| v1_xboole_0(X40)
| ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| v3_struct_0(X39) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
cnf(c_0_46,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,negated_conjecture,
m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
r2_hidden(esk3_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_38,c_0_39]),c_0_24]),c_0_25]),c_0_36]),c_0_23])]),c_0_26]) ).
cnf(c_0_50,negated_conjecture,
( ~ v12_lattices(esk1_0)
| ~ v16_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(spm,[status(thm)],[c_0_40,c_0_39]),c_0_41]),c_0_24]),c_0_25]),c_0_23]),c_0_36])]),c_0_26]) ).
cnf(c_0_51,plain,
( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v12_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ v16_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(spm,[status(thm)],[c_0_43,c_0_39]),c_0_41]),c_0_24]),c_0_25]),c_0_23]),c_0_36])]),c_0_26]) ).
cnf(c_0_53,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v12_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1) ),
inference(cn,[status(thm)],[c_0_44]) ).
fof(c_0_54,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v16_lattices(X1)
& v15_lattices(X1)
& v11_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
cnf(c_0_55,plain,
( ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( v1_xboole_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(spm,[status(thm)],[c_0_46,c_0_47]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_57,negated_conjecture,
~ v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( ~ v11_lattices(esk1_0)
| ~ v16_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(spm,[status(thm)],[c_0_50,c_0_51]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_60,negated_conjecture,
( ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v11_lattices(esk1_0)
| ~ v16_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_61,negated_conjecture,
( ~ v12_lattices(esk1_0)
| ~ v16_lattices(esk1_0)
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_41]),c_0_24]),c_0_25]),c_0_23]),c_0_36])]),c_0_26]) ).
fof(c_0_62,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2
& k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t84_filter_2]) ).
fof(c_0_63,plain,
! [X377] :
( ( ~ l3_lattices(X377)
| ~ v16_lattices(X377)
| ~ v15_lattices(X377)
| ~ v11_lattices(X377)
| v3_struct_0(X377)
| v17_lattices(X377) )
& ( ~ l3_lattices(X377)
| ~ v16_lattices(X377)
| ~ v15_lattices(X377)
| ~ v11_lattices(X377)
| v3_struct_0(X377)
| ~ v3_struct_0(X377) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).
cnf(c_0_64,negated_conjecture,
( ~ v11_lattices(esk1_0)
| v1_xboole_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_65,negated_conjecture,
( ~ 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)))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_66,negated_conjecture,
v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
inference(sr,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( ~ v16_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(spm,[status(thm)],[c_0_58,c_0_59]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_68,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| v3_struct_0(X1)
| v16_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_69,negated_conjecture,
( ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v16_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_70,negated_conjecture,
( ~ v11_lattices(esk1_0)
| ~ v16_lattices(esk1_0)
| 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(spm,[status(thm)],[c_0_61,c_0_51]),c_0_24]),c_0_25])]),c_0_26]) ).
fof(c_0_71,plain,
! [X68,X69,X70] :
( ( ~ l3_lattices(X68)
| ~ v10_lattices(X68)
| v3_struct_0(X68)
| ~ m1_subset_1(X69,u1_struct_0(X68))
| ~ m1_subset_1(X70,u1_struct_0(X68))
| ~ r3_lattices(X68,X69,X70)
| k5_lattices(k23_filter_2(X68,k22_filter_2(X68,X69,X70))) = X69 )
& ( ~ l3_lattices(X68)
| ~ v10_lattices(X68)
| v3_struct_0(X68)
| ~ m1_subset_1(X69,u1_struct_0(X68))
| ~ m1_subset_1(X70,u1_struct_0(X68))
| ~ r3_lattices(X68,X69,X70)
| k6_lattices(k23_filter_2(X68,k22_filter_2(X68,X69,X70))) = X70 )
& ( ~ l3_lattices(X68)
| ~ v10_lattices(X68)
| v3_struct_0(X68)
| ~ m1_subset_1(X69,u1_struct_0(X68))
| ~ m1_subset_1(X70,u1_struct_0(X68))
| ~ r3_lattices(X68,X69,X70)
| v15_lattices(k23_filter_2(X68,k22_filter_2(X68,X69,X70))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])]) ).
cnf(c_0_72,plain,
( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
( v1_xboole_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_59]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_74,negated_conjecture,
( ~ 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)))
| 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)],[c_0_65,c_0_66])]) ).
cnf(c_0_75,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(spm,[status(thm)],[c_0_67,c_0_68]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_76,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(spm,[status(thm)],[c_0_69,c_0_68]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_77,negated_conjecture,
( ~ v16_lattices(esk1_0)
| 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(spm,[status(thm)],[c_0_70,c_0_59]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_78,plain,
( ~ 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)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( ~ l3_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)))
| ~ v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| 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)))
| v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
~ v17_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)],[c_0_74,c_0_75])]),c_0_76]) ).
cnf(c_0_81,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(spm,[status(thm)],[c_0_77,c_0_68]),c_0_30]),c_0_25])]),c_0_26]) ).
cnf(c_0_82,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_39]),c_0_24]),c_0_25]),c_0_23]),c_0_36])]),c_0_26]) ).
cnf(c_0_83,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_79,c_0_80,c_0_76,c_0_57,c_0_81,c_0_75,c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT337+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n026.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 20 23:44:44 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.54 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 80.97/14.15 % Version: 3.5.1
% 80.97/14.15 % Preprocessing class: FMLLSMLLSSSNFFN.
% 80.97/14.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.97/14.15 % Starting new_bool_3 with 900s (3) cores
% 80.97/14.15 % Starting new_bool_1 with 900s (3) cores
% 80.97/14.15 % Starting sh5l with 300s (1) cores
% 80.97/14.15 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 80.97/14.15 % new_bool_3 with pid 870956 completed with status 0
% 80.97/14.15 % Result found by new_bool_3
% 80.97/14.15 % Preprocessing class: FMLLSMLLSSSNFFN.
% 80.97/14.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.97/14.15 % Starting new_bool_3 with 900s (3) cores
% 80.97/14.15 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 80.97/14.15 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 80.97/14.15 % Search class: FGHSM-SMLM32-MFFFFFNN
% 80.97/14.15 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 80.97/14.15 % Starting SubtermCWHack with 82s (1) cores
% 80.97/14.15 % Starting new_bool_3 with 91s (1) cores
% 80.97/14.15 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 80.97/14.15 % new_bool_3 with pid 870961 completed with status 0
% 80.97/14.16 % Result found by new_bool_3
% 80.97/14.16 % Preprocessing class: FMLLSMLLSSSNFFN.
% 80.97/14.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.97/14.16 % Starting new_bool_3 with 900s (3) cores
% 80.97/14.16 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 80.97/14.16 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 80.97/14.16 % Search class: FGHSM-SMLM32-MFFFFFNN
% 80.97/14.16 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 80.97/14.16 % Starting SubtermCWHack with 82s (1) cores
% 80.97/14.16 % Starting new_bool_3 with 91s (1) cores
% 80.97/14.16 % Preprocessing time : 0.082 s
% 80.97/14.16 % Presaturation interreduction done
% 80.97/14.16 % SatCheck found unsatisfiable ground set
% 80.97/14.16
% 80.97/14.16 % Proof found!
% 80.97/14.16 % SZS status Theorem
% 80.97/14.16 % SZS output start CNFRefutation
% See solution above
% 90.69/14.16 % Parsed axioms : 13685
% 90.69/14.16 % Removed by relevancy pruning/SinE : 13035
% 90.69/14.16 % Initial clauses : 1744
% 90.69/14.16 % Removed in clause preprocessing : 75
% 90.69/14.16 % Initial clauses in saturation : 1669
% 90.69/14.16 % Processed clauses : 20805
% 90.69/14.16 % ...of these trivial : 285
% 90.69/14.16 % ...subsumed : 10520
% 90.69/14.16 % ...remaining for further processing : 10000
% 90.69/14.16 % Other redundant clauses eliminated : 729
% 90.69/14.16 % Clauses deleted for lack of memory : 0
% 90.69/14.16 % Backward-subsumed : 404
% 90.69/14.16 % Backward-rewritten : 625
% 90.69/14.16 % Generated clauses : 170923
% 90.69/14.16 % ...of the previous two non-redundant : 165901
% 90.69/14.16 % ...aggressively subsumed : 0
% 90.69/14.16 % Contextual simplify-reflections : 220
% 90.69/14.16 % Paramodulations : 170155
% 90.69/14.16 % Factorizations : 11
% 90.69/14.16 % NegExts : 0
% 90.69/14.16 % Equation resolutions : 750
% 90.69/14.16 % Disequality decompositions : 0
% 90.69/14.16 % Total rewrite steps : 77929
% 90.69/14.16 % ...of those cached : 76036
% 90.69/14.16 % Propositional unsat checks : 2
% 90.69/14.16 % Propositional check models : 0
% 90.69/14.16 % Propositional check unsatisfiable : 1
% 90.69/14.16 % Propositional clauses : 154761
% 90.69/14.16 % Propositional clauses after purity: 5121
% 90.69/14.16 % Propositional unsat core size : 7
% 90.69/14.16 % Propositional preprocessing time : 0.000
% 90.69/14.16 % Propositional encoding time : 0.498
% 90.69/14.16 % Propositional solver time : 0.168
% 90.69/14.16 % Success case prop preproc time : 0.000
% 90.69/14.16 % Success case prop encoding time : 0.412
% 90.69/14.16 % Success case prop solver time : 0.049
% 90.69/14.16 % Current number of processed clauses : 7319
% 90.69/14.16 % Positive orientable unit clauses : 1911
% 90.69/14.16 % Positive unorientable unit clauses: 0
% 90.69/14.16 % Negative unit clauses : 1105
% 90.69/14.16 % Non-unit-clauses : 4303
% 90.69/14.16 % Current number of unprocessed clauses: 147442
% 90.69/14.16 % ...number of literals in the above : 557943
% 90.69/14.16 % Current number of archived formulas : 0
% 90.69/14.16 % Current number of archived clauses : 2558
% 90.69/14.16 % Clause-clause subsumption calls (NU) : 3842810
% 90.69/14.16 % Rec. Clause-clause subsumption calls : 887161
% 90.69/14.16 % Non-unit clause-clause subsumptions : 3365
% 90.69/14.16 % Unit Clause-clause subsumption calls : 1178465
% 90.69/14.16 % Rewrite failures with RHS unbound : 0
% 90.69/14.16 % BW rewrite match attempts : 6454
% 90.69/14.16 % BW rewrite match successes : 221
% 90.69/14.16 % Condensation attempts : 0
% 90.69/14.16 % Condensation successes : 0
% 90.69/14.16 % Termbank termtop insertions : 5024433
% 90.69/14.16 % Search garbage collected termcells : 142962
% 90.69/14.16
% 90.69/14.16 % -------------------------------------------------
% 90.69/14.16 % User time : 12.321 s
% 90.69/14.16 % System time : 0.377 s
% 90.69/14.16 % Total time : 12.698 s
% 90.69/14.16 % Maximum resident set size: 29096 pages
% 90.69/14.16
% 90.69/14.16 % -------------------------------------------------
% 90.69/14.16 % User time : 37.050 s
% 90.69/14.16 % System time : 0.917 s
% 90.69/14.16 % Total time : 37.967 s
% 90.69/14.16 % Maximum resident set size: 23296 pages
% 90.69/14.16 % E exiting
%------------------------------------------------------------------------------