%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT339+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 : n019.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 01:05:00 PM UTC 2026
% Result : Theorem 7.69s 6.46s
% Output : CNFRefutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 128 ( 28 unt; 0 def)
% Number of atoms : 603 ( 67 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 725 ( 250 ~; 265 |; 147 &)
% ( 6 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 171 ( 7 sgn 105 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_conlat_2,conjecture,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k5_conlat_1(X1)
& k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k6_conlat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_conlat_2) ).
fof(t1_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1)
& k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_conlat_2) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(dt_k6_lattices,axiom,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(fc1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v5_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v1_membered(k1_pre_topc(X1))
& v1_xboole_0(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(d16_lattice3,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_lattice3(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_hidden(X4,X3)
=> r1_lattices(X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_lattice3) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(fc1_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( v4_lattice3(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(d3_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k3_conlat_2(X1,X2) = k15_lattice3(k11_conlat_1(X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_conlat_2) ).
fof(t50_lattice3,axiom,
! [X1] :
( ( l3_lattices(X1)
& v4_lattice3(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( k5_lattices(X1) = k15_lattice3(X1,k1_xboole_0)
& l3_lattices(X1)
& v13_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(d2_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k2_conlat_2(X1,X2) = k16_lattice3(k11_conlat_1(X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_conlat_2) ).
fof(t34_lattice3,axiom,
! [X1] :
( ( l3_lattices(X1)
& v4_lattice3(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k16_lattice3(X1,X3)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattice3(X1,X4,X3)
=> r3_lattices(X1,X4,X2) ) )
& r3_lattice3(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_lattice3) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(d24_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> k12_conlat_1(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d24_conlat_1) ).
fof(dt_k12_conlat_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k12_conlat_1(X1,X2),X1)
& v9_conlat_1(k12_conlat_1(X1,X2),X1)
& ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
& v6_conlat_1(k12_conlat_1(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_conlat_1) ).
fof(t47_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
=> ( r3_lattices(k11_conlat_1(X1),X2,X3)
<=> r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_conlat_1) ).
fof(t34_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1) )
=> ( r2_conlat_1(X1,k6_conlat_1(X1),X2)
& r2_conlat_1(X1,X2,k5_conlat_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_conlat_1) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k5_conlat_1(X1)
& k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k6_conlat_1(X1) ) ),
inference(assume_negation,[status(cth)],[t5_conlat_2]) ).
fof(c_0_23,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1)
& k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[t1_conlat_2]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k5_conlat_1(X1)
& k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1))) = k6_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_conlat_1]) ).
fof(c_0_26,plain,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[t8_boole]) ).
fof(c_0_27,plain,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_lattices]) ).
fof(c_0_28,plain,
! [X182] :
( ( ~ l2_conlat_1(X182)
| v3_conlat_1(X182)
| k6_lattices(k11_conlat_1(X182)) = k5_conlat_1(X182) )
& ( ~ l2_conlat_1(X182)
| v3_conlat_1(X182)
| k5_lattices(k11_conlat_1(X182)) = k6_conlat_1(X182) ) ),
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_29,negated_conjecture,
( ( k2_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0)
| k3_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0) )
& l2_conlat_1(esk1_0)
& ~ v3_conlat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_30,plain,
! [X53] :
( ( ~ l2_conlat_1(X53)
| v3_conlat_1(X53)
| l3_lattices(k11_conlat_1(X53)) )
& ( ~ l2_conlat_1(X53)
| v3_conlat_1(X53)
| v3_lattices(k11_conlat_1(X53)) )
& ( ~ l2_conlat_1(X53)
| v3_conlat_1(X53)
| ~ v3_struct_0(k11_conlat_1(X53)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_31,plain,
! [X213,X214] :
( ~ v1_xboole_0(X214)
| X213 = X214
| ~ v1_xboole_0(X213) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_32,plain,
! [X102] :
( ( ~ l1_struct_0(X102)
| v5_membered(k1_pre_topc(X102)) )
& ( ~ l1_struct_0(X102)
| v4_membered(k1_pre_topc(X102)) )
& ( ~ l1_struct_0(X102)
| v3_membered(k1_pre_topc(X102)) )
& ( ~ l1_struct_0(X102)
| v2_membered(k1_pre_topc(X102)) )
& ( ~ l1_struct_0(X102)
| v1_membered(k1_pre_topc(X102)) )
& ( ~ l1_struct_0(X102)
| v1_xboole_0(k1_pre_topc(X102)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])])]) ).
fof(c_0_33,plain,
! [X210] :
( X210 = k1_xboole_0
| ~ v1_xboole_0(X210) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
fof(c_0_34,plain,
! [X159] :
( v1_xboole_0(esk26_1(X159))
& m1_subset_1(esk26_1(X159),k1_zfmisc_1(X159)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_35,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_lattice3(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_hidden(X4,X3)
=> r1_lattices(X1,X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_lattice3]) ).
fof(c_0_36,plain,
! [X70] :
( m1_subset_1(k6_lattices(X70),u1_struct_0(X70))
| ~ l2_lattices(X70)
| v3_struct_0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_37,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( ~ l1_struct_0(X1)
| v1_xboole_0(k1_pre_topc(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_43,plain,
! [X71] :
( l1_struct_0(X71)
| ~ l1_lattices(X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_44,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( v4_lattice3(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_conlat_2]) ).
cnf(c_0_45,plain,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
v1_xboole_0(esk26_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_47,plain,
! [X31,X32,X33,X34,X35] :
( ( ~ l3_lattices(X31)
| v3_struct_0(X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| r3_lattice3(X31,X32,X35)
| ~ r1_lattices(X31,X32,esk2_3(X31,X32,X35)) )
& ( ~ l3_lattices(X31)
| v3_struct_0(X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| r3_lattice3(X31,X32,X35)
| r2_hidden(esk2_3(X31,X32,X35),X35) )
& ( ~ l3_lattices(X31)
| v3_struct_0(X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| r3_lattice3(X31,X32,X35)
| m1_subset_1(esk2_3(X31,X32,X35),u1_struct_0(X31)) )
& ( ~ l3_lattices(X31)
| v3_struct_0(X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| r1_lattices(X31,X32,X34)
| ~ r2_hidden(X34,X33)
| ~ m1_subset_1(X34,u1_struct_0(X31))
| ~ r3_lattice3(X31,X32,X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])])])]) ).
cnf(c_0_48,plain,
( ~ l2_lattices(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,negated_conjecture,
k6_lattices(k11_conlat_1(esk1_0)) = k5_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(k11_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38])]) ).
cnf(c_0_51,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_52,plain,
( ~ v1_xboole_0(X1)
| ~ l1_struct_0(X2)
| X1 = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_54,plain,
! [X74] :
( ( ~ l3_lattices(X74)
| l2_lattices(X74) )
& ( ~ l3_lattices(X74)
| l1_lattices(X74) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_55,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k3_conlat_2(X1,X2) = k15_lattice3(k11_conlat_1(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[d3_conlat_2]) ).
fof(c_0_56,plain,
! [X1] :
( ( l3_lattices(X1)
& v4_lattice3(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( k5_lattices(X1) = k15_lattice3(X1,k1_xboole_0)
& l3_lattices(X1)
& v13_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[t50_lattice3]) ).
fof(c_0_57,plain,
! [X101] :
( ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v4_lattice3(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v15_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v14_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v13_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v10_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v9_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v8_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v7_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v6_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v5_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v4_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| v3_lattices(k11_conlat_1(X101)) )
& ( ~ l2_conlat_1(X101)
| v3_conlat_1(X101)
| ~ v3_struct_0(k11_conlat_1(X101)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_58,plain,
! [X207,X208,X209] :
( ~ v1_xboole_0(X209)
| ~ m1_subset_1(X208,k1_zfmisc_1(X209))
| ~ r2_hidden(X207,X208) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
cnf(c_0_59,plain,
m1_subset_1(esk26_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_60,plain,
esk26_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_61,plain,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| r2_hidden(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,negated_conjecture,
( ~ l2_lattices(k11_conlat_1(esk1_0))
| m1_subset_1(k5_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_63,negated_conjecture,
l3_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39]) ).
fof(c_0_64,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k2_conlat_2(X1,X2) = k16_lattice3(k11_conlat_1(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[d2_conlat_2]) ).
cnf(c_0_65,plain,
( ~ v1_xboole_0(X1)
| ~ l1_lattices(X2)
| X1 = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_66,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_67,plain,
! [X45,X46] :
( k3_conlat_2(X45,X46) = k15_lattice3(k11_conlat_1(X45),X46)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X45))))
| ~ l2_conlat_1(X45)
| v3_conlat_1(X45) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).
fof(c_0_68,plain,
! [X206] :
( ( ~ l3_lattices(X206)
| ~ v4_lattice3(X206)
| ~ v10_lattices(X206)
| v3_struct_0(X206)
| k5_lattices(X206) = k15_lattice3(X206,k1_xboole_0) )
& ( ~ l3_lattices(X206)
| ~ v4_lattice3(X206)
| ~ v10_lattices(X206)
| v3_struct_0(X206)
| l3_lattices(X206) )
& ( ~ l3_lattices(X206)
| ~ v4_lattice3(X206)
| ~ v10_lattices(X206)
| v3_struct_0(X206)
| v13_lattices(X206) )
& ( ~ l3_lattices(X206)
| ~ v4_lattice3(X206)
| ~ v10_lattices(X206)
| v3_struct_0(X206)
| v10_lattices(X206) )
& ( ~ l3_lattices(X206)
| ~ v4_lattice3(X206)
| ~ v10_lattices(X206)
| v3_struct_0(X206)
| ~ v3_struct_0(X206) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
cnf(c_0_69,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_70,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_71,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_72,plain,
! [X1] :
( ( l3_lattices(X1)
& v4_lattice3(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k16_lattice3(X1,X3)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattice3(X1,X4,X3)
=> r3_lattices(X1,X4,X2) ) )
& r3_lattice3(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t34_lattice3]) ).
cnf(c_0_73,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_74,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_75,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_76,negated_conjecture,
( ~ l2_lattices(k11_conlat_1(esk1_0))
| r2_hidden(esk2_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1),X1)
| r3_lattice3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_50]) ).
fof(c_0_77,plain,
! [X43,X44] :
( k2_conlat_2(X43,X44) = k16_lattice3(k11_conlat_1(X43),X44)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X43))))
| ~ l2_conlat_1(X43)
| v3_conlat_1(X43) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
cnf(c_0_78,plain,
( ~ l3_lattices(X2)
| ~ v1_xboole_0(X1)
| X1 = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_79,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_80,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ l2_conlat_1(X1)
| k3_conlat_2(X1,X2) = k15_lattice3(k11_conlat_1(X1),X2)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k5_lattices(X1) = k15_lattice3(X1,k1_xboole_0) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_82,negated_conjecture,
v4_lattice3(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_38]),c_0_39]) ).
cnf(c_0_83,negated_conjecture,
k5_lattices(k11_conlat_1(esk1_0)) = k6_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_38]),c_0_39]) ).
cnf(c_0_84,negated_conjecture,
v10_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_38]),c_0_39]) ).
fof(c_0_85,plain,
! [X192,X193,X194,X195,X196] :
( ( ~ l3_lattices(X192)
| ~ v4_lattice3(X192)
| ~ v10_lattices(X192)
| v3_struct_0(X192)
| ~ m1_subset_1(X193,u1_struct_0(X192))
| X193 = k16_lattice3(X192,X196)
| ~ r3_lattice3(X192,X193,X196)
| ~ r3_lattices(X192,esk36_3(X192,X193,X196),X193) )
& ( ~ l3_lattices(X192)
| ~ v4_lattice3(X192)
| ~ v10_lattices(X192)
| v3_struct_0(X192)
| ~ m1_subset_1(X193,u1_struct_0(X192))
| X193 = k16_lattice3(X192,X196)
| ~ r3_lattice3(X192,X193,X196)
| r3_lattice3(X192,esk36_3(X192,X193,X196),X196) )
& ( ~ l3_lattices(X192)
| ~ v4_lattice3(X192)
| ~ v10_lattices(X192)
| v3_struct_0(X192)
| ~ m1_subset_1(X193,u1_struct_0(X192))
| X193 = k16_lattice3(X192,X196)
| ~ r3_lattice3(X192,X193,X196)
| m1_subset_1(esk36_3(X192,X193,X196),u1_struct_0(X192)) )
& ( ~ l3_lattices(X192)
| ~ v4_lattice3(X192)
| ~ v10_lattices(X192)
| v3_struct_0(X192)
| ~ m1_subset_1(X193,u1_struct_0(X192))
| X193 != k16_lattice3(X192,X194)
| r3_lattices(X192,X195,X193)
| ~ r3_lattice3(X192,X195,X194)
| ~ m1_subset_1(X195,u1_struct_0(X192)) )
& ( ~ l3_lattices(X192)
| ~ v4_lattice3(X192)
| ~ v10_lattices(X192)
| v3_struct_0(X192)
| ~ m1_subset_1(X193,u1_struct_0(X192))
| X193 != k16_lattice3(X192,X194)
| r3_lattice3(X192,X193,X194) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])])])]) ).
cnf(c_0_86,plain,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_73]) ).
cnf(c_0_87,plain,
( ~ r2_hidden(X2,k1_xboole_0)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_88,negated_conjecture,
( r2_hidden(esk2_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1),X1)
| r3_lattice3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_73]),c_0_63])]) ).
cnf(c_0_89,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ l2_conlat_1(X1)
| k2_conlat_2(X1,X2) = k16_lattice3(k11_conlat_1(X1),X2)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,negated_conjecture,
( k2_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0)
| k3_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_91,plain,
( ~ l3_lattices(X1)
| k1_pre_topc(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_92,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| k15_lattice3(k11_conlat_1(X1),k1_xboole_0) = k3_conlat_2(X1,k1_xboole_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_75]) ).
cnf(c_0_93,negated_conjecture,
k15_lattice3(k11_conlat_1(esk1_0),k1_xboole_0) = k6_conlat_1(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_81,c_0_82]),c_0_83]),c_0_84]),c_0_63])]),c_0_50]) ).
fof(c_0_94,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> k12_conlat_1(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d24_conlat_1]) ).
fof(c_0_95,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k12_conlat_1(X1,X2),X1)
& v9_conlat_1(k12_conlat_1(X1,X2),X1)
& ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
& v6_conlat_1(k12_conlat_1(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k12_conlat_1]) ).
cnf(c_0_96,plain,
( ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X3)
| v3_struct_0(X1)
| X2 = k16_lattice3(X1,X3)
| m1_subset_1(esk36_3(X1,X2,X3),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,negated_conjecture,
m1_subset_1(k5_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_63]),c_0_49]),c_0_50]) ).
cnf(c_0_98,negated_conjecture,
( ~ v1_xboole_0(X1)
| r3_lattice3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| k16_lattice3(k11_conlat_1(X1),k1_xboole_0) = k2_conlat_2(X1,k1_xboole_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_75]) ).
cnf(c_0_100,negated_conjecture,
( k2_conlat_2(esk1_0,k1_xboole_0) != k5_conlat_1(esk1_0)
| k3_conlat_2(esk1_0,k1_xboole_0) != k6_conlat_1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_63])]) ).
cnf(c_0_101,negated_conjecture,
k3_conlat_2(esk1_0,k1_xboole_0) = k6_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_38]),c_0_93]),c_0_39]) ).
fof(c_0_102,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
=> ( r3_lattices(k11_conlat_1(X1),X2,X3)
<=> r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t47_conlat_1]) ).
fof(c_0_103,plain,
! [X41,X42] :
( k12_conlat_1(X41,X42) = X42
| ~ m1_subset_1(X42,u1_struct_0(k11_conlat_1(X41)))
| ~ l2_conlat_1(X41)
| v3_conlat_1(X41) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])])]) ).
fof(c_0_104,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1) )
=> ( r2_conlat_1(X1,k6_conlat_1(X1),X2)
& r2_conlat_1(X1,X2,k5_conlat_1(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t34_conlat_1]) ).
fof(c_0_105,plain,
! [X54,X55] :
( ( ~ m1_subset_1(X55,u1_struct_0(k11_conlat_1(X54)))
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| l3_conlat_1(k12_conlat_1(X54,X55),X54) )
& ( ~ m1_subset_1(X55,u1_struct_0(k11_conlat_1(X54)))
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| v9_conlat_1(k12_conlat_1(X54,X55),X54) )
& ( ~ m1_subset_1(X55,u1_struct_0(k11_conlat_1(X54)))
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| ~ v7_conlat_1(k12_conlat_1(X54,X55),X54) )
& ( ~ m1_subset_1(X55,u1_struct_0(k11_conlat_1(X54)))
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| v6_conlat_1(k12_conlat_1(X54,X55),X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])]) ).
cnf(c_0_106,negated_conjecture,
( ~ r3_lattice3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1)
| m1_subset_1(esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),X1),u1_struct_0(k11_conlat_1(esk1_0)))
| k16_lattice3(k11_conlat_1(esk1_0),X1) = k5_conlat_1(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_96,c_0_97]),c_0_82]),c_0_84]),c_0_63])]),c_0_50]) ).
cnf(c_0_107,negated_conjecture,
r3_lattice3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0),
inference(spm,[status(thm)],[c_0_98,c_0_79]) ).
cnf(c_0_108,negated_conjecture,
k16_lattice3(k11_conlat_1(esk1_0),k1_xboole_0) = k2_conlat_2(esk1_0,k1_xboole_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_38]),c_0_39]) ).
cnf(c_0_109,negated_conjecture,
k2_conlat_2(esk1_0,k1_xboole_0) != k5_conlat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
fof(c_0_110,plain,
! [X200,X201,X202] :
( ( ~ l2_conlat_1(X200)
| v3_conlat_1(X200)
| ~ m1_subset_1(X201,u1_struct_0(k11_conlat_1(X200)))
| ~ m1_subset_1(X202,u1_struct_0(k11_conlat_1(X200)))
| r3_lattices(k11_conlat_1(X200),X201,X202)
| ~ r2_conlat_1(X200,k12_conlat_1(X200,X201),k12_conlat_1(X200,X202)) )
& ( ~ l2_conlat_1(X200)
| v3_conlat_1(X200)
| ~ m1_subset_1(X201,u1_struct_0(k11_conlat_1(X200)))
| ~ m1_subset_1(X202,u1_struct_0(k11_conlat_1(X200)))
| r2_conlat_1(X200,k12_conlat_1(X200,X201),k12_conlat_1(X200,X202))
| ~ r3_lattices(k11_conlat_1(X200),X201,X202) ) ),
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_102])])])])]) ).
cnf(c_0_111,plain,
( ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| k12_conlat_1(X1,X2) = X2
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_112,plain,
! [X190,X191] :
( ( ~ l2_conlat_1(X190)
| v3_conlat_1(X190)
| ~ l3_conlat_1(X191,X190)
| ~ v9_conlat_1(X191,X190)
| v7_conlat_1(X191,X190)
| r2_conlat_1(X190,k6_conlat_1(X190),X191) )
& ( ~ l2_conlat_1(X190)
| v3_conlat_1(X190)
| ~ l3_conlat_1(X191,X190)
| ~ v9_conlat_1(X191,X190)
| v7_conlat_1(X191,X190)
| r2_conlat_1(X190,X191,k5_conlat_1(X190)) ) ),
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_104])])])])]) ).
cnf(c_0_113,plain,
( ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v9_conlat_1(k12_conlat_1(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_114,negated_conjecture,
m1_subset_1(esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0),u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]) ).
cnf(c_0_115,plain,
( ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_conlat_1(k12_conlat_1(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_116,plain,
( ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,plain,
( ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3))
| v3_conlat_1(X1)
| r3_lattices(k11_conlat_1(X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,negated_conjecture,
k12_conlat_1(esk1_0,k5_conlat_1(esk1_0)) = k5_conlat_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_97]),c_0_38])]),c_0_39]) ).
cnf(c_0_119,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| r2_conlat_1(X1,X2,k5_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_120,negated_conjecture,
v9_conlat_1(k12_conlat_1(esk1_0,esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0)),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_38])]),c_0_39]) ).
cnf(c_0_121,negated_conjecture,
l3_conlat_1(k12_conlat_1(esk1_0,esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0)),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_114]),c_0_38])]),c_0_39]) ).
cnf(c_0_122,negated_conjecture,
~ v7_conlat_1(k12_conlat_1(esk1_0,esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0)),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_38])]),c_0_39]) ).
cnf(c_0_123,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(esk1_0)))
| ~ r2_conlat_1(esk1_0,k12_conlat_1(esk1_0,X1),k5_conlat_1(esk1_0))
| r3_lattices(k11_conlat_1(esk1_0),X1,k5_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_97]),c_0_38])]),c_0_39]) ).
cnf(c_0_124,negated_conjecture,
r2_conlat_1(esk1_0,k12_conlat_1(esk1_0,esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0)),k5_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_38])]),c_0_122]),c_0_39]) ).
cnf(c_0_125,plain,
( ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X3)
| ~ r3_lattices(X1,esk36_3(X1,X2,X3),X2)
| v3_struct_0(X1)
| X2 = k16_lattice3(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_126,negated_conjecture,
r3_lattices(k11_conlat_1(esk1_0),esk36_3(k11_conlat_1(esk1_0),k5_conlat_1(esk1_0),k1_xboole_0),k5_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_114])]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_108]),c_0_82]),c_0_107]),c_0_97]),c_0_84]),c_0_63])]),c_0_109]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT339+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 23:42:27 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 7.69/6.46 % Version: 3.5.1
% 7.69/6.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.69/6.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.69/6.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.69/6.46 % Starting new_bool_3 with 300s (1) cores
% 7.69/6.46 % Starting new_bool_1 with 300s (1) cores
% 7.69/6.46 % Starting sh5l with 300s (1) cores
% 7.69/6.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1191879 completed with status 0
% 7.69/6.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.69/6.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.69/6.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.69/6.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.69/6.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.69/6.46 % No SInE strategy applied
% 7.69/6.46 % Search class: FGHSM-FSLM31-MFFFFFNN
% 7.69/6.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 7.69/6.46 % Starting SubtermCWHack with 136s (1) cores
% 7.69/6.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.69/6.46 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 7.69/6.46 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 7.69/6.46 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.69/6.46 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1191887 completed with status 0
% 7.69/6.46 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 7.69/6.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.69/6.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.69/6.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.69/6.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.69/6.46 % No SInE strategy applied
% 7.69/6.46 % Search class: FGHSM-FSLM31-MFFFFFNN
% 7.69/6.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 7.69/6.46 % Starting SubtermCWHack with 136s (1) cores
% 7.69/6.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.69/6.46 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 7.69/6.46 % Preprocessing time : 0.005 s
% 7.69/6.46 % Presaturation interreduction done
% 7.69/6.46
% 7.69/6.46 % Proof found!
% 7.69/6.46 % SZS status Theorem
% 7.69/6.46 % SZS output start CNFRefutation
% See solution above
% 7.69/6.46 % Parsed axioms : 120
% 7.69/6.46 % Removed by relevancy pruning/SinE : 0
% 7.69/6.46 % Initial clauses : 291
% 7.69/6.46 % Removed in clause preprocessing : 23
% 7.69/6.46 % Initial clauses in saturation : 268
% 7.69/6.46 % Processed clauses : 8738
% 7.69/6.46 % ...of these trivial : 70
% 7.69/6.46 % ...subsumed : 5499
% 7.69/6.46 % ...remaining for further processing : 3169
% 7.69/6.46 % Other redundant clauses eliminated : 123
% 7.69/6.46 % Clauses deleted for lack of memory : 0
% 7.69/6.46 % Backward-subsumed : 281
% 7.69/6.46 % Backward-rewritten : 39
% 7.69/6.46 % Generated clauses : 26869
% 7.69/6.46 % ...of the previous two non-redundant : 23721
% 7.69/6.46 % ...aggressively subsumed : 0
% 7.69/6.46 % Contextual simplify-reflections : 100
% 7.69/6.46 % Paramodulations : 26665
% 7.69/6.46 % Factorizations : 38
% 7.69/6.46 % NegExts : 0
% 7.69/6.46 % Equation resolutions : 153
% 7.69/6.46 % Disequality decompositions : 0
% 7.69/6.46 % Total rewrite steps : 12094
% 7.69/6.46 % ...of those cached : 11784
% 7.69/6.46 % Propositional unsat checks : 0
% 7.69/6.46 % Propositional check models : 0
% 7.69/6.46 % Propositional check unsatisfiable : 0
% 7.69/6.46 % Propositional clauses : 0
% 7.69/6.46 % Propositional clauses after purity: 0
% 7.69/6.46 % Propositional unsat core size : 0
% 7.69/6.46 % Propositional preprocessing time : 0.000
% 7.69/6.46 % Propositional encoding time : 0.000
% 7.69/6.46 % Propositional solver time : 0.000
% 7.69/6.46 % Success case prop preproc time : 0.000
% 7.69/6.46 % Success case prop encoding time : 0.000
% 7.69/6.46 % Success case prop solver time : 0.000
% 7.69/6.46 % Current number of processed clauses : 2596
% 7.69/6.46 % Positive orientable unit clauses : 313
% 7.69/6.46 % Positive unorientable unit clauses: 0
% 7.69/6.46 % Negative unit clauses : 35
% 7.69/6.46 % Non-unit-clauses : 2248
% 7.69/6.46 % Current number of unprocessed clauses: 14907
% 7.69/6.46 % ...number of literals in the above : 64405
% 7.69/6.46 % Current number of archived formulas : 0
% 7.69/6.46 % Current number of archived clauses : 570
% 7.69/6.46 % Clause-clause subsumption calls (NU) : 608096
% 7.69/6.46 % Rec. Clause-clause subsumption calls : 290533
% 7.69/6.46 % Non-unit clause-clause subsumptions : 4899
% 7.69/6.46 % Unit Clause-clause subsumption calls : 25907
% 7.69/6.46 % Rewrite failures with RHS unbound : 0
% 7.69/6.46 % BW rewrite match attempts : 348
% 7.69/6.46 % BW rewrite match successes : 48
% 7.69/6.46 % Condensation attempts : 0
% 7.69/6.46 % Condensation successes : 0
% 7.69/6.46 % Termbank termtop insertions : 486529
% 7.69/6.46 % Search garbage collected termcells : 3017
% 7.69/6.46
% 7.69/6.46 % -------------------------------------------------
% 7.69/6.46 % User time : 0.980 s
% 7.69/6.46 % System time : 0.026 s
% 7.69/6.46 % Total time : 1.006 s
% 7.69/6.46 % Maximum resident set size: 4292 pages
% 7.69/6.46
% 7.69/6.46 % -------------------------------------------------
% 7.69/6.46 % User time : 4.873 s
% 7.69/6.46 % System time : 0.135 s
% 7.69/6.46 % Total time : 5.008 s
% 7.69/6.46 % Maximum resident set size: 4608 pages
% 7.69/6.46 % E exiting
%------------------------------------------------------------------------------