%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT330+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:08 PM UTC 2026
% Result : Theorem 25.07s 15.54s
% Output : CNFRefutation 25.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 156 ( 14 unt; 0 def)
% Number of atoms : 761 ( 54 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 973 ( 368 ~; 444 |; 88 &)
% ( 11 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 287 ( 2 sgn 125 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(dt_k18_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_filter_2(k18_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(t67_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v13_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_filter_2) ).
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_filter_2) ).
fof(t29_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_filter_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(fraenkel_a_2_0_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(dt_k5_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(t63_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(t41_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,k5_lattices(X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_lattices) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(d1_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( r1_filter_2(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_filter_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_filter_2(k18_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k18_filter_2]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_24,plain,
! [X127,X128] :
( ( ~ v1_xboole_0(X128)
| ~ m2_filter_2(X128,X127)
| v3_struct_0(X127)
| ~ v10_lattices(X127)
| ~ l3_lattices(X127) )
& ( m2_lattice4(X128,X127)
| ~ m2_filter_2(X128,X127)
| v3_struct_0(X127)
| ~ v10_lattices(X127)
| ~ l3_lattices(X127) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_25,plain,
! [X118,X119] :
( v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ l3_lattices(X118)
| ~ m1_subset_1(X119,u1_struct_0(X118))
| m2_filter_2(k18_filter_2(X118,X119),X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_26,plain,
! [X129,X130] :
( v3_struct_0(X129)
| ~ v10_lattices(X129)
| ~ l3_lattices(X129)
| ~ m2_lattice4(X130,X129)
| m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(X129))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_27,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_29,plain,
! [X189,X190,X191] :
( ~ r2_hidden(X189,X190)
| ~ m1_subset_1(X190,k1_zfmisc_1(X191))
| m1_subset_1(X189,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( m2_lattice4(k18_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( m1_subset_1(k18_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_34,plain,
! [X182,X183] :
( ( ~ r2_hidden(esk19_2(X182,X183),X182)
| ~ r2_hidden(esk19_2(X182,X183),X183)
| X182 = X183 )
& ( r2_hidden(esk19_2(X182,X183),X182)
| r2_hidden(esk19_2(X182,X183),X183)
| X182 = X183 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v13_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t67_filter_2])]) ).
cnf(c_0_36,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X1,k18_filter_2(X2,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( r2_hidden(esk19_2(X1,X2),X1)
| r2_hidden(esk19_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& v13_lattices(esk1_0)
& ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_39,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).
cnf(c_0_40,plain,
( k18_filter_2(X1,X2) = X3
| r2_hidden(esk19_2(k18_filter_2(X1,X2),X3),X3)
| m1_subset_1(esk19_2(k18_filter_2(X1,X2),X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d9_filter_2]) ).
fof(c_0_46,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t29_filter_2]) ).
fof(c_0_47,plain,
! [X120,X121,X122] :
( ( ~ v1_xboole_0(k22_filter_2(X120,X121,X122))
| v3_struct_0(X120)
| ~ v10_lattices(X120)
| ~ l3_lattices(X120)
| ~ m1_subset_1(X121,u1_struct_0(X120))
| ~ m1_subset_1(X122,u1_struct_0(X120)) )
& ( m2_lattice4(k22_filter_2(X120,X121,X122),X120)
| v3_struct_0(X120)
| ~ v10_lattices(X120)
| ~ l3_lattices(X120)
| ~ m1_subset_1(X121,u1_struct_0(X120))
| ~ m1_subset_1(X122,u1_struct_0(X120)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_48,plain,
! [X180,X181] :
( ~ m1_subset_1(X180,X181)
| v1_xboole_0(X181)
| r2_hidden(X180,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_49,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_50,plain,
! [X175,X176] :
( ~ r2_hidden(X175,X176)
| m1_subset_1(X175,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_51,plain,
( X1 = X2
| ~ r2_hidden(esk19_2(X1,X2),X1)
| ~ r2_hidden(esk19_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = X1
| r2_hidden(esk19_2(k18_filter_2(esk1_0,esk2_0),X1),X1)
| m1_subset_1(esk19_2(k18_filter_2(esk1_0,esk2_0),X1),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_40,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
fof(c_0_53,plain,
! [X116,X117] :
( v3_struct_0(X116)
| ~ v10_lattices(X116)
| ~ l3_lattices(X116)
| ~ m1_subset_1(X117,u1_struct_0(X116))
| k18_filter_2(X116,X117) = a_2_0_filter_2(X116,X117) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_54,plain,
! [X177,X178,X179] :
( ( ~ r2_hidden(X178,k18_filter_2(X177,X179))
| r3_lattices(X177,X178,X179)
| ~ m1_subset_1(X179,u1_struct_0(X177))
| ~ m1_subset_1(X178,u1_struct_0(X177))
| v3_struct_0(X177)
| ~ v10_lattices(X177)
| ~ l3_lattices(X177) )
& ( ~ r3_lattices(X177,X178,X179)
| r2_hidden(X178,k18_filter_2(X177,X179))
| ~ m1_subset_1(X179,u1_struct_0(X177))
| ~ m1_subset_1(X178,u1_struct_0(X177))
| v3_struct_0(X177)
| ~ v10_lattices(X177)
| ~ l3_lattices(X177) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_55,plain,
! [X200,X201] :
( ~ r2_hidden(X200,X201)
| ~ v1_xboole_0(X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_56,plain,
( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_57,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_filter_2]) ).
cnf(c_0_58,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k18_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_60,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = X1
| m1_subset_1(esk19_2(k18_filter_2(esk1_0,esk2_0),X1),u1_struct_0(esk1_0))
| ~ r2_hidden(esk19_2(k18_filter_2(esk1_0,esk2_0),X1),k18_filter_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( X1 = k18_filter_2(X2,X3)
| r2_hidden(esk19_2(X1,k18_filter_2(X2,X3)),X1)
| m1_subset_1(esk19_2(X1,k18_filter_2(X2,X3)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_64,plain,
( r3_lattices(X2,X1,X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k18_filter_2(X2,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
( m1_subset_1(k22_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
fof(c_0_67,plain,
! [X143,X144,X145,X147] :
( ( m1_subset_1(esk11_3(X143,X144,X145),u1_struct_0(X144))
| ~ r2_hidden(X143,a_2_0_filter_2(X144,X145))
| v3_struct_0(X144)
| ~ v10_lattices(X144)
| ~ l3_lattices(X144)
| ~ m1_subset_1(X145,u1_struct_0(X144)) )
& ( X143 = esk11_3(X143,X144,X145)
| ~ r2_hidden(X143,a_2_0_filter_2(X144,X145))
| v3_struct_0(X144)
| ~ v10_lattices(X144)
| ~ l3_lattices(X144)
| ~ m1_subset_1(X145,u1_struct_0(X144)) )
& ( r3_lattices(X144,esk11_3(X143,X144,X145),X145)
| ~ r2_hidden(X143,a_2_0_filter_2(X144,X145))
| v3_struct_0(X144)
| ~ v10_lattices(X144)
| ~ l3_lattices(X144)
| ~ m1_subset_1(X145,u1_struct_0(X144)) )
& ( ~ m1_subset_1(X147,u1_struct_0(X144))
| X143 != X147
| ~ r3_lattices(X144,X147,X145)
| r2_hidden(X143,a_2_0_filter_2(X144,X145))
| v3_struct_0(X144)
| ~ v10_lattices(X144)
| ~ l3_lattices(X144)
| ~ m1_subset_1(X145,u1_struct_0(X144)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).
cnf(c_0_68,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k18_filter_2(X2,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_58]),c_0_59]) ).
cnf(c_0_69,plain,
( X1 = X2
| r2_hidden(esk19_2(X1,X2),X2)
| m1_subset_1(esk19_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_70,negated_conjecture,
( a_2_0_filter_2(esk1_0,esk2_0) = X1
| m1_subset_1(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),X1),u1_struct_0(esk1_0))
| ~ r2_hidden(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),X1),a_2_0_filter_2(esk1_0,esk2_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_61,c_0_62]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_71,negated_conjecture,
( X1 = k18_filter_2(esk1_0,esk2_0)
| r2_hidden(esk19_2(X1,k18_filter_2(esk1_0,esk2_0)),X1)
| m1_subset_1(esk19_2(X1,k18_filter_2(esk1_0,esk2_0)),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_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_72,plain,
( k18_filter_2(X1,X2) = X3
| r3_lattices(X1,esk19_2(k18_filter_2(X1,X2),X3),X2)
| r2_hidden(esk19_2(k18_filter_2(X1,X2),X3),X3)
| v3_struct_0(X1)
| ~ m1_subset_1(esk19_2(k18_filter_2(X1,X2),X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_37]) ).
cnf(c_0_73,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = X1
| m1_subset_1(esk19_2(k18_filter_2(esk1_0,esk2_0),X1),u1_struct_0(esk1_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_52]) ).
cnf(c_0_74,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X1,k22_filter_2(X2,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_66]) ).
cnf(c_0_75,plain,
( X1 = X2
| r2_hidden(esk19_2(X1,X2),X1)
| m1_subset_1(esk19_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
fof(c_0_76,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattices]) ).
cnf(c_0_77,plain,
( r2_hidden(X3,a_2_0_filter_2(X2,X4))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| X3 != X1
| ~ r3_lattices(X2,X1,X4)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k18_filter_2(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_59]) ).
cnf(c_0_79,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,a_2_0_filter_2(X2,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_62]) ).
cnf(c_0_80,plain,
( X1 = k18_filter_2(X2,X3)
| r3_lattices(X2,esk19_2(X1,k18_filter_2(X2,X3)),X3)
| m1_subset_1(esk19_2(X1,k18_filter_2(X2,X3)),X1)
| v3_struct_0(X2)
| ~ m1_subset_1(esk19_2(X1,k18_filter_2(X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_81,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| m1_subset_1(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
( r2_hidden(X2,k18_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_83,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(k18_filter_2(esk1_0,esk2_0),X1),esk2_0)
| ~ v1_xboole_0(X1) ),
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(spm,[status(thm)],[c_0_72,c_0_73]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_65]) ).
fof(c_0_84,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t63_filter_2]) ).
cnf(c_0_85,plain,
( k22_filter_2(X1,X2,X3) = X4
| m1_subset_1(esk19_2(k22_filter_2(X1,X2,X3),X4),u1_struct_0(X1))
| m1_subset_1(esk19_2(k22_filter_2(X1,X2,X3),X4),X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_86,plain,
! [X123] :
( v3_struct_0(X123)
| ~ l1_lattices(X123)
| m1_subset_1(k5_lattices(X123),u1_struct_0(X123)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).
cnf(c_0_87,plain,
( X1 = X2
| v1_xboole_0(X2)
| ~ r2_hidden(esk19_2(X1,X2),X1)
| ~ m1_subset_1(esk19_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_58]) ).
cnf(c_0_88,plain,
( r2_hidden(X1,a_2_0_filter_2(X2,X3))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,a_2_0_filter_2(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_62]),c_0_79]) ).
cnf(c_0_90,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| r3_lattices(esk1_0,esk19_2(a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),esk2_0)
| m1_subset_1(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),a_2_0_filter_2(esk1_0,esk2_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_80,c_0_81]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_91,plain,
( X1 = k18_filter_2(X2,X3)
| v3_struct_0(X2)
| ~ r3_lattices(X2,esk19_2(X1,k18_filter_2(X2,X3)),X3)
| ~ r2_hidden(esk19_2(X1,k18_filter_2(X2,X3)),X1)
| ~ m1_subset_1(esk19_2(X1,k18_filter_2(X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( a_2_0_filter_2(esk1_0,esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(a_2_0_filter_2(esk1_0,esk2_0),X1),esk2_0)
| ~ v1_xboole_0(X1) ),
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_83,c_0_62]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_93,negated_conjecture,
( a_2_0_filter_2(esk1_0,esk2_0) = X1
| m1_subset_1(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),X1),u1_struct_0(esk1_0))
| ~ v1_xboole_0(X1) ),
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_73,c_0_62]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_94,plain,
( X1 = X2
| r2_hidden(esk19_2(X1,X2),X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_37]) ).
fof(c_0_95,plain,
! [X195,X196,X197,X198] :
( ( r3_lattices(X195,X196,X198)
| ~ r2_hidden(X198,k22_filter_2(X195,X196,X197))
| ~ r3_lattices(X195,X196,X197)
| ~ m1_subset_1(X198,u1_struct_0(X195))
| ~ m1_subset_1(X197,u1_struct_0(X195))
| ~ m1_subset_1(X196,u1_struct_0(X195))
| v3_struct_0(X195)
| ~ v10_lattices(X195)
| ~ l3_lattices(X195) )
& ( r3_lattices(X195,X198,X197)
| ~ r2_hidden(X198,k22_filter_2(X195,X196,X197))
| ~ r3_lattices(X195,X196,X197)
| ~ m1_subset_1(X198,u1_struct_0(X195))
| ~ m1_subset_1(X197,u1_struct_0(X195))
| ~ m1_subset_1(X196,u1_struct_0(X195))
| v3_struct_0(X195)
| ~ v10_lattices(X195)
| ~ l3_lattices(X195) )
& ( ~ r3_lattices(X195,X196,X198)
| ~ r3_lattices(X195,X198,X197)
| r2_hidden(X198,k22_filter_2(X195,X196,X197))
| ~ r3_lattices(X195,X196,X197)
| ~ m1_subset_1(X198,u1_struct_0(X195))
| ~ m1_subset_1(X197,u1_struct_0(X195))
| ~ m1_subset_1(X196,u1_struct_0(X195))
| v3_struct_0(X195)
| ~ v10_lattices(X195)
| ~ l3_lattices(X195) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])])]) ).
cnf(c_0_96,negated_conjecture,
( k22_filter_2(esk1_0,X1,esk2_0) = X2
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,X1,esk2_0),X2),u1_struct_0(esk1_0))
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,X1,esk2_0),X2),X2)
| ~ m1_subset_1(X1,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_85,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_97,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_98,plain,
! [X126] :
( ( l1_lattices(X126)
| ~ l3_lattices(X126) )
& ( l2_lattices(X126)
| ~ l3_lattices(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_99,plain,
( a_2_0_filter_2(X1,X2) = X3
| v1_xboole_0(X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,esk19_2(a_2_0_filter_2(X1,X2),X3),X2)
| ~ m1_subset_1(esk19_2(a_2_0_filter_2(X1,X2),X3),u1_struct_0(X1))
| ~ m1_subset_1(esk19_2(a_2_0_filter_2(X1,X2),X3),X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| r3_lattices(esk1_0,esk19_2(a_2_0_filter_2(esk1_0,esk2_0),k18_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_101,negated_conjecture,
( X1 = k18_filter_2(esk1_0,esk2_0)
| v1_xboole_0(k18_filter_2(esk1_0,esk2_0))
| m1_subset_1(esk19_2(X1,k18_filter_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk19_2(X1,k18_filter_2(esk1_0,esk2_0)),k18_filter_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_71]) ).
cnf(c_0_102,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| ~ v1_xboole_0(k18_filter_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_91,c_0_92]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_93]),c_0_94]) ).
cnf(c_0_103,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r2_hidden(X2,k22_filter_2(X1,X4,X3))
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),u1_struct_0(esk1_0))
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_44]) ).
cnf(c_0_105,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_106,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,k5_lattices(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t41_lattices]) ).
cnf(c_0_107,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| ~ m1_subset_1(esk19_2(a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),k18_filter_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_99,c_0_100]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_101]),c_0_102]) ).
cnf(c_0_108,plain,
( m1_subset_1(X1,k18_filter_2(X2,X3))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_82]) ).
cnf(c_0_109,plain,
( k22_filter_2(X1,X2,X3) = X4
| r3_lattices(X1,esk19_2(k22_filter_2(X1,X2,X3),X4),X3)
| m1_subset_1(esk19_2(k22_filter_2(X1,X2,X3),X4),X4)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(esk19_2(k22_filter_2(X1,X2,X3),X4),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_75]) ).
cnf(c_0_110,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),u1_struct_0(esk1_0))
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_42])]) ).
fof(c_0_111,plain,
! [X187,X188] :
( v3_struct_0(X187)
| ~ v10_lattices(X187)
| ~ v13_lattices(X187)
| ~ l3_lattices(X187)
| ~ m1_subset_1(X188,u1_struct_0(X187))
| r3_lattices(X187,k5_lattices(X187),X188) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])]) ).
cnf(c_0_112,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_107,c_0_108]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_81]),c_0_100]) ).
cnf(c_0_113,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),esk2_0)
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1)
| ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_115,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_116,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_117,plain,
! [X124] :
( ~ l1_lattices(X124)
| l1_struct_0(X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_118,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,a_2_0_filter_2(esk1_0,esk2_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_36,c_0_112]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_119,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),esk2_0)
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
fof(c_0_120,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( r1_filter_2(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_filter_2]) ).
fof(c_0_121,plain,
! [X141] :
( v3_struct_0(X141)
| ~ l1_struct_0(X141)
| ~ v1_xboole_0(u1_struct_0(X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])]) ).
cnf(c_0_122,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( r3_lattices(esk1_0,X1,esk2_0)
| ~ r2_hidden(X1,a_2_0_filter_2(esk1_0,esk2_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(spm,[status(thm)],[c_0_64,c_0_112]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_118]) ).
cnf(c_0_124,negated_conjecture,
~ v1_xboole_0(a_2_0_filter_2(esk1_0,esk2_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_59,c_0_112]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_125,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),esk2_0)
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_97]),c_0_44]) ).
fof(c_0_126,plain,
! [X111,X112,X113,X114] :
( ( ~ r2_hidden(X114,X112)
| r2_hidden(X114,X113)
| ~ m1_subset_1(X114,X111)
| ~ r1_filter_2(X111,X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X111))
| ~ m1_subset_1(X112,k1_zfmisc_1(X111))
| v1_xboole_0(X111) )
& ( ~ r2_hidden(X114,X113)
| r2_hidden(X114,X112)
| ~ m1_subset_1(X114,X111)
| ~ r1_filter_2(X111,X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X111))
| ~ m1_subset_1(X112,k1_zfmisc_1(X111))
| v1_xboole_0(X111) )
& ( m1_subset_1(esk3_3(X111,X112,X113),X111)
| r1_filter_2(X111,X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X111))
| ~ m1_subset_1(X112,k1_zfmisc_1(X111))
| v1_xboole_0(X111) )
& ( ~ r2_hidden(esk3_3(X111,X112,X113),X112)
| ~ r2_hidden(esk3_3(X111,X112,X113),X113)
| r1_filter_2(X111,X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X111))
| ~ m1_subset_1(X112,k1_zfmisc_1(X111))
| v1_xboole_0(X111) )
& ( r2_hidden(esk3_3(X111,X112,X113),X112)
| r2_hidden(esk3_3(X111,X112,X113),X113)
| r1_filter_2(X111,X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X111))
| ~ m1_subset_1(X112,k1_zfmisc_1(X111))
| v1_xboole_0(X111) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])])]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_128,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_105]) ).
cnf(c_0_129,negated_conjecture,
( r3_lattices(esk1_0,X1,esk2_0)
| ~ m1_subset_1(X1,a_2_0_filter_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_58]),c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = X1
| r3_lattices(esk1_0,esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),esk2_0)
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_105]),c_0_42])]) ).
cnf(c_0_131,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,a_2_0_filter_2(esk1_0,esk2_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_68,c_0_112]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_132,plain,
( r2_hidden(esk3_3(X1,X2,X3),X2)
| r2_hidden(esk3_3(X1,X2,X3),X3)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_133,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,plain,
( X1 = a_2_0_filter_2(X2,X3)
| v3_struct_0(X2)
| ~ r3_lattices(X2,esk19_2(X1,a_2_0_filter_2(X2,X3)),X3)
| ~ r2_hidden(esk19_2(X1,a_2_0_filter_2(X2,X3)),X1)
| ~ m1_subset_1(esk19_2(X1,a_2_0_filter_2(X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_88]) ).
cnf(c_0_135,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| r3_lattices(esk1_0,esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),a_2_0_filter_2(esk1_0,esk2_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| m1_subset_1(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),a_2_0_filter_2(esk1_0,esk2_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_131,c_0_110]) ).
fof(c_0_137,plain,
! [X192,X193,X194] :
( ~ r2_hidden(X192,X193)
| ~ m1_subset_1(X193,k1_zfmisc_1(X194))
| ~ v1_xboole_0(X194) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_138,plain,
( r2_hidden(esk3_3(u1_struct_0(X1),X2,k18_filter_2(X1,X3)),k18_filter_2(X1,X3))
| r2_hidden(esk3_3(u1_struct_0(X1),X2,k18_filter_2(X1,X3)),X2)
| r1_filter_2(u1_struct_0(X1),X2,k18_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_33]),c_0_133]) ).
cnf(c_0_139,negated_conjecture,
m1_subset_1(a_2_0_filter_2(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_112]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_140,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| ~ r2_hidden(esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),a_2_0_filter_2(esk1_0,esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_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(spm,[status(thm)],[c_0_134,c_0_135]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_136]) ).
cnf(c_0_141,plain,
( r2_hidden(X3,k22_filter_2(X1,X2,X4))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X3,X4)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_142,plain,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r2_hidden(esk3_3(X1,X2,X3),X2)
| ~ r2_hidden(esk3_3(X1,X2,X3),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_143,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_144,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,X1)),a_2_0_filter_2(esk1_0,esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,X1)),k18_filter_2(esk1_0,X1))
| r1_filter_2(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,X1))
| ~ m1_subset_1(X1,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_138,c_0_139]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_145,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_146,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk19_2(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),a_2_0_filter_2(esk1_0,esk2_0)))
| ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_140,c_0_141]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_136]),c_0_135]) ).
cnf(c_0_147,plain,
( r1_filter_2(X1,X2,X3)
| ~ r2_hidden(esk3_3(X1,X2,X3),X3)
| ~ r2_hidden(esk3_3(X1,X2,X3),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0)),a_2_0_filter_2(esk1_0,esk2_0))
| r1_filter_2(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0)) ),
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_144,c_0_41]),c_0_112]),c_0_112]),c_0_112]),c_0_112])]) ).
cnf(c_0_149,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_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_145,c_0_62]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_150,negated_conjecture,
( k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_146,c_0_114]),c_0_115]),c_0_42]),c_0_43])]),c_0_44]),c_0_136]) ).
cnf(c_0_151,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_139])]),c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).
cnf(c_0_153,negated_conjecture,
~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_114]),c_0_115]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_154,negated_conjecture,
~ l1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_97]),c_0_44]) ).
cnf(c_0_155,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_105]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT330+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 21:21:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 25.07/15.54 % Version : CSE_E---1.7
% 25.07/15.54 % Problem : theBenchmark.p
% 25.07/15.54 % SZS status Theorem for theBenchmark.p
% 25.07/15.54 % SZS output start CNFRefutation
% See solution above
% 25.18/15.63 % Total time : 11.395s
%------------------------------------------------------------------------------