%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT324+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:04:55 PM UTC 2026
% Result : Theorem 41.08s 6.53s
% Output : CNFRefutation 41.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 110 ( 15 unt; 0 def)
% Number of atoms : 697 ( 50 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 892 ( 305 ~; 340 |; 188 &)
% ( 2 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 0 sgn 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v17_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))
=> ~ ( ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( ( ( r2_hidden(X3,X4)
& ~ r2_hidden(X2,X4) )
| ( ~ r2_hidden(X3,X4)
& r2_hidden(X2,X4) ) )
& r2_filter_2(X1,X4) ) )
& X2 != X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_2) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(t60_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_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))
=> ~ ( ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( ( ( r2_hidden(X3,X4)
& ~ r2_hidden(X2,X4) )
| ( ~ r2_hidden(X3,X4)
& r2_hidden(X2,X4) ) )
& v1_filter_0(X4,X1) ) )
& X2 != X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_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))
=> ~ ( ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( ( ( r2_hidden(X3,X4)
& ~ r2_hidden(X2,X4) )
| ( ~ r2_hidden(X3,X4)
& r2_hidden(X2,X4) ) )
& r2_filter_2(X1,X4) ) )
& X2 != X3 ) ) ) ),
inference(assume_negation,[status(cth)],[t60_filter_2]) ).
fof(c_0_17,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_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))
=> ~ ( ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( ( ( r2_hidden(X3,X4)
& ~ r2_hidden(X2,X4) )
| ( ~ r2_hidden(X3,X4)
& r2_hidden(X2,X4) ) )
& r2_filter_2(X1,X4) ) )
& X2 != X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_20,plain,
! [X27,X28] :
( k5_filter_2(X27,X28) = X28
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_21,negated_conjecture,
! [X10] :
( ( ~ m2_filter_2(X10,esk1_0)
| ~ r2_filter_2(esk1_0,X10)
| ~ r2_hidden(esk3_0,X10)
| r2_hidden(esk2_0,X10) )
& ( ~ m2_filter_2(X10,esk1_0)
| ~ r2_filter_2(esk1_0,X10)
| r2_hidden(esk3_0,X10)
| ~ r2_hidden(esk2_0,X10) )
& esk2_0 != esk3_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)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
fof(c_0_22,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
fof(c_0_23,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_24,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_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))
=> ~ ( ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( ( ( r2_hidden(X3,X4)
& ~ r2_hidden(X2,X4) )
| ( ~ r2_hidden(X3,X4)
& r2_hidden(X2,X4) ) )
& v1_filter_0(X4,X1) ) )
& X2 != X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_filter_0]) ).
fof(c_0_25,plain,
! [X41,X42] :
( m1_subset_1(k5_filter_2(X41,X42),u1_struct_0(k1_lattice2(X41)))
| ~ m1_subset_1(X42,u1_struct_0(X41))
| ~ l3_lattices(X41)
| ~ v10_lattices(X41)
| v3_struct_0(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_26,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X95] :
( ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v17_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v16_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v15_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v14_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v13_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v12_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v11_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v10_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v9_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v8_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v7_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v6_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v5_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v4_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v3_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v17_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| ~ v3_struct_0(k1_lattice2(X95)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_32,plain,
! [X100] :
( ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v10_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v9_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v8_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v7_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v6_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v5_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v4_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| v3_lattices(k1_lattice2(X100)) )
& ( ~ l3_lattices(X100)
| ~ v10_lattices(X100)
| v3_struct_0(X100)
| ~ v3_struct_0(k1_lattice2(X100)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_33,plain,
! [X152,X153,X154] :
( ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| r2_hidden(X154,esk32_3(X152,X153,X154)) )
& ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| ~ r2_hidden(X153,esk32_3(X152,X153,X154)) )
& ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| r2_hidden(X153,esk32_3(X152,X153,X154))
| r2_hidden(X154,esk32_3(X152,X153,X154)) )
& ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| r2_hidden(X153,esk32_3(X152,X153,X154))
| ~ r2_hidden(X153,esk32_3(X152,X153,X154)) )
& ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| v1_filter_0(esk32_3(X152,X153,X154),X152) )
& ( ~ l3_lattices(X152)
| ~ v17_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| ~ m1_subset_1(X153,u1_struct_0(X152))
| ~ m1_subset_1(X154,u1_struct_0(X152))
| X153 = X154
| m1_filter_0(esk32_3(X152,X153,X154),X152) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).
cnf(c_0_34,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_36,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_38,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| X2 = X3
| m1_filter_0(esk32_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(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_34,c_0_27]),c_0_35]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_41,negated_conjecture,
v17_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_37]),c_0_29])]),c_0_30]) ).
cnf(c_0_42,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_29])]),c_0_30]) ).
fof(c_0_43,plain,
! [X40] :
( ( ~ l3_lattices(X40)
| l3_lattices(k1_lattice2(X40)) )
& ( ~ l3_lattices(X40)
| v3_lattices(k1_lattice2(X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_45,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
cnf(c_0_46,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| X1 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_47,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
k5_filter_2(esk1_0,esk3_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_26,c_0_44]),c_0_28]),c_0_29])]),c_0_30]) ).
fof(c_0_49,plain,
! [X50,X51] :
( ( ~ l3_lattices(X50)
| ~ v10_lattices(X50)
| v3_struct_0(X50)
| ~ m1_filter_0(X51,X50)
| m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50))) )
& ( ~ l3_lattices(X50)
| ~ v10_lattices(X50)
| v3_struct_0(X50)
| ~ m1_filter_0(X51,X50)
| ~ v1_xboole_0(X51) ) ),
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_45])])])])]) ).
cnf(c_0_50,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| X1 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_28])]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k1_lattice2(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_34,c_0_44]),c_0_48]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_52,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_53,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
fof(c_0_56,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_57,plain,
! [X45,X46] :
( m1_subset_1(k8_filter_2(X45,X46),k1_zfmisc_1(u1_struct_0(X45)))
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X45))))
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_58,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_42])]) ).
fof(c_0_59,plain,
! [X31,X32] :
( k8_filter_2(X31,X32) = X32
| ~ m1_subset_1(X32,k1_zfmisc_1(u1_struct_0(k1_lattice2(X31))))
| ~ l3_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
fof(c_0_60,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_61,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_62,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_63,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_28])]) ).
cnf(c_0_65,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_66,plain,
! [X36,X37] :
( m2_filter_2(k14_filter_2(X36,X37),X36)
| ~ m1_filter_0(X37,k1_lattice2(X36))
| ~ l3_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).
fof(c_0_67,plain,
! [X128,X129] :
( k14_filter_2(X128,X129) = k8_filter_2(X128,X129)
| ~ m1_filter_0(X129,k1_lattice2(X128))
| ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
fof(c_0_68,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_69,plain,
! [X29,X30] :
( k7_filter_2(X29,X30) = X30
| ~ m1_subset_1(X30,k1_zfmisc_1(u1_struct_0(X29)))
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29) ),
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_70,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_71,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_72,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_74,plain,
! [X130,X131] :
( k15_filter_2(X130,X131) = k7_filter_2(X130,X131)
| ~ m2_filter_2(X131,X130)
| ~ l3_lattices(X130)
| ~ v10_lattices(X130)
| v3_struct_0(X130) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
cnf(c_0_75,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_78,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_55]),c_0_28]),c_0_29])]),c_0_30]) ).
fof(c_0_79,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_80,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_82,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| X2 = X3
| v1_filter_0(esk32_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_84,plain,
! [X142,X143] :
( ( ~ l3_lattices(X142)
| ~ v10_lattices(X142)
| v3_struct_0(X142)
| ~ m2_filter_2(X143,X142)
| r2_filter_2(X142,X143)
| ~ v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142)) )
& ( ~ l3_lattices(X142)
| ~ v10_lattices(X142)
| v3_struct_0(X142)
| ~ m2_filter_2(X143,X142)
| v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142))
| ~ r2_filter_2(X142,X143) ) ),
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_79])])])])]) ).
cnf(c_0_85,negated_conjecture,
( ~ m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_86,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_71]) ).
cnf(c_0_87,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| X1 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_88,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| r2_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| X1 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_47]),c_0_28])]) ).
cnf(c_0_91,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| X3 = X1
| r2_hidden(X3,esk32_3(X2,X3,X1))
| r2_hidden(X1,esk32_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_92,negated_conjecture,
( ~ v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_28]),c_0_29])]),c_0_30]),c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_51]),c_0_52]) ).
cnf(c_0_94,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| X1 = esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_51]),c_0_41]),c_0_42])]) ).
cnf(c_0_95,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk2_0,X1)
| r2_hidden(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_96,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk3_0,X1)
| r2_hidden(esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_98,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| X1 = esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_47]),c_0_28])]) ).
cnf(c_0_99,negated_conjecture,
( ~ r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_86]) ).
fof(c_0_100,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_101,negated_conjecture,
( ~ r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_96]),c_0_86]) ).
cnf(c_0_102,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_40]),c_0_52]),c_0_99]) ).
fof(c_0_103,plain,
! [X85] :
( ( ~ l3_lattices(X85)
| v3_struct_0(X85)
| v3_lattices(k1_lattice2(X85)) )
& ( ~ l3_lattices(X85)
| v3_struct_0(X85)
| ~ v3_struct_0(k1_lattice2(X85)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])]) ).
cnf(c_0_104,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X3,esk32_3(X2,X1,X3))
| ~ r2_hidden(X1,esk32_3(X2,X1,X3))
| v3_struct_0(X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_105,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[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_104,c_0_105]),c_0_40]),c_0_51]),c_0_41]),c_0_42])]),c_0_52]),c_0_102]) ).
cnf(c_0_108,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_28])]),c_0_30]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_47]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT324+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 23:37:49 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 Running first-order theorem proving
% 0.25/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.08/6.53 % Version: 3.5.1
% 41.08/6.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 41.08/6.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.08/6.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 41.08/6.53 % Starting new_bool_3 with 300s (1) cores
% 41.08/6.53 % Starting new_bool_1 with 300s (1) cores
% 41.08/6.53 % Starting sh5l with 300s (1) cores
% 41.08/6.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1746662 completed with status 0
% 41.08/6.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 41.08/6.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 41.08/6.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.08/6.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 41.08/6.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.08/6.53 % No SInE strategy applied
% 41.08/6.53 % Search class: FGHSM-FSLM31-MFFFFFNN
% 41.08/6.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 41.08/6.53 % Starting SubtermCWHack with 136s (1) cores
% 41.08/6.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 41.08/6.53 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 41.08/6.53 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 41.08/6.53 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.08/6.53 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1746671 completed with status 0
% 41.08/6.53 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 41.08/6.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 41.08/6.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.08/6.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 41.08/6.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.08/6.53 % No SInE strategy applied
% 41.08/6.53 % Search class: FGHSM-FSLM31-MFFFFFNN
% 41.08/6.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 41.08/6.53 % Starting SubtermCWHack with 136s (1) cores
% 41.08/6.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 41.08/6.53 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 41.08/6.53 % Preprocessing time : 0.006 s
% 41.08/6.53 % Presaturation interreduction done
% 41.08/6.53
% 41.08/6.53 % Proof found!
% 41.08/6.53 % SZS status Theorem
% 41.08/6.53 % SZS output start CNFRefutation
% See solution above
% 41.08/6.53 % Parsed axioms : 99
% 41.08/6.53 % Removed by relevancy pruning/SinE : 0
% 41.08/6.53 % Initial clauses : 270
% 41.08/6.53 % Removed in clause preprocessing : 19
% 41.08/6.53 % Initial clauses in saturation : 251
% 41.08/6.53 % Processed clauses : 17677
% 41.08/6.53 % ...of these trivial : 372
% 41.08/6.53 % ...subsumed : 7032
% 41.08/6.53 % ...remaining for further processing : 10273
% 41.08/6.53 % Other redundant clauses eliminated : 0
% 41.08/6.53 % Clauses deleted for lack of memory : 0
% 41.08/6.53 % Backward-subsumed : 1633
% 41.08/6.53 % Backward-rewritten : 458
% 41.08/6.53 % Generated clauses : 34914
% 41.08/6.53 % ...of the previous two non-redundant : 32665
% 41.08/6.53 % ...aggressively subsumed : 0
% 41.08/6.53 % Contextual simplify-reflections : 388
% 41.08/6.53 % Paramodulations : 34860
% 41.08/6.53 % Factorizations : 48
% 41.08/6.53 % NegExts : 0
% 41.08/6.53 % Equation resolutions : 0
% 41.08/6.53 % Disequality decompositions : 0
% 41.08/6.53 % Total rewrite steps : 26292
% 41.08/6.53 % ...of those cached : 25100
% 41.08/6.53 % Propositional unsat checks : 2
% 41.08/6.53 % Propositional check models : 1
% 41.08/6.53 % Propositional check unsatisfiable : 0
% 41.08/6.53 % Propositional clauses : 0
% 41.08/6.53 % Propositional clauses after purity: 0
% 41.08/6.53 % Propositional unsat core size : 0
% 41.08/6.53 % Propositional preprocessing time : 0.000
% 41.08/6.53 % Propositional encoding time : 0.047
% 41.08/6.53 % Propositional solver time : 0.108
% 41.08/6.53 % Success case prop preproc time : 0.000
% 41.08/6.53 % Success case prop encoding time : 0.000
% 41.08/6.53 % Success case prop solver time : 0.000
% 41.08/6.53 % Current number of processed clauses : 7952
% 41.08/6.53 % Positive orientable unit clauses : 1445
% 41.08/6.53 % Positive unorientable unit clauses: 0
% 41.08/6.53 % Negative unit clauses : 463
% 41.08/6.53 % Non-unit-clauses : 6044
% 41.08/6.53 % Current number of unprocessed clauses: 15187
% 41.08/6.53 % ...number of literals in the above : 58586
% 41.08/6.53 % Current number of archived formulas : 0
% 41.08/6.53 % Current number of archived clauses : 2321
% 41.08/6.53 % Clause-clause subsumption calls (NU) : 3670254
% 41.08/6.53 % Rec. Clause-clause subsumption calls : 1929907
% 41.08/6.53 % Non-unit clause-clause subsumptions : 6556
% 41.08/6.53 % Unit Clause-clause subsumption calls : 90569
% 41.08/6.53 % Rewrite failures with RHS unbound : 0
% 41.08/6.53 % BW rewrite match attempts : 14492
% 41.08/6.53 % BW rewrite match successes : 275
% 41.08/6.53 % Condensation attempts : 0
% 41.08/6.53 % Condensation successes : 0
% 41.08/6.53 % Termbank termtop insertions : 968173
% 41.08/6.53 % Search garbage collected termcells : 2578
% 41.08/6.53
% 41.08/6.53 % -------------------------------------------------
% 41.08/6.53 % User time : 5.796 s
% 41.08/6.53 % System time : 0.098 s
% 41.08/6.53 % Total time : 5.894 s
% 41.08/6.53 % Maximum resident set size: 4252 pages
% 41.08/6.53
% 41.08/6.53 % -------------------------------------------------
% 41.08/6.53 % User time : 28.395 s
% 41.08/6.53 % System time : 0.565 s
% 41.08/6.53 % Total time : 28.960 s
% 41.08/6.53 % Maximum resident set size: 4608 pages
% 41.08/6.53 % E exiting
%------------------------------------------------------------------------------