TSTP Solution File: LAT333+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT333+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:46 EDT 2023
% Result : Theorem 1504.06s 198.24s
% Output : CNFRefutation 1504.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 179 ( 49 unt; 0 def)
% Number of atoms : 945 ( 82 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1165 ( 399 ~; 449 |; 235 &)
% ( 10 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 182 ( 0 sgn; 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d16_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',d16_nat_lat) ).
fof(dt_m2_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_m2_nat_lat) ).
fof(t75_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_nat_lat(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t75_nat_lat) ).
fof(t76_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v13_lattices(X1)
=> v13_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t76_filter_2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t15_filter_0) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t21_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',fc6_lattice2) ).
fof(t63_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_struct_0(k8_filter_0(X1,X2)) = X2
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t63_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_k8_filter_0) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',redefinition_m1_filter_2) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t28_filter_2) ).
fof(t70_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t70_filter_2) ).
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/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_m2_filter_2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t63_lattice2) ).
fof(dt_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_m1_filter_2) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',d2_lattice2) ).
fof(fc5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',fc5_filter_2) ).
fof(t66_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v14_lattices(X1)
=> v14_lattices(k8_filter_0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t66_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_k1_lattice2) ).
fof(fc2_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',fc2_filter_0) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t18_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',fc1_lattice2) ).
fof(dt_k23_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',dt_k23_filter_2) ).
fof(t73_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( u1_struct_0(k23_filter_2(X1,X2)) = X2
& u2_lattices(k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t73_filter_2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',t64_lattice2) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p',abstractness_v3_lattices) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_nat_lat]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_nat_lat(X1,X1) ),
inference(fof_simplification,[status(thm)],[t75_nat_lat]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v13_lattices(X1)
=> v13_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t76_filter_2])]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_31,plain,
! [X309,X310] :
( ( r1_tarski(u1_struct_0(X310),u1_struct_0(X309))
| ~ m2_nat_lat(X310,X309)
| v3_struct_0(X310)
| ~ v10_lattices(X310)
| ~ l3_lattices(X310)
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( u2_lattices(X310) = k1_realset1(u2_lattices(X309),u1_struct_0(X310))
| ~ m2_nat_lat(X310,X309)
| v3_struct_0(X310)
| ~ v10_lattices(X310)
| ~ l3_lattices(X310)
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( u1_lattices(X310) = k1_realset1(u1_lattices(X309),u1_struct_0(X310))
| ~ m2_nat_lat(X310,X309)
| v3_struct_0(X310)
| ~ v10_lattices(X310)
| ~ l3_lattices(X310)
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( ~ r1_tarski(u1_struct_0(X310),u1_struct_0(X309))
| u2_lattices(X310) != k1_realset1(u2_lattices(X309),u1_struct_0(X310))
| u1_lattices(X310) != k1_realset1(u1_lattices(X309),u1_struct_0(X310))
| m2_nat_lat(X310,X309)
| v3_struct_0(X310)
| ~ v10_lattices(X310)
| ~ l3_lattices(X310)
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_32,plain,
! [X312,X313] :
( ( ~ v3_struct_0(X313)
| ~ m2_nat_lat(X313,X312)
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( v10_lattices(X313)
| ~ m2_nat_lat(X313,X312)
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( l3_lattices(X313)
| ~ m2_nat_lat(X313,X312)
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_33,plain,
! [X311] :
( v3_struct_0(X311)
| ~ v10_lattices(X311)
| ~ l3_lattices(X311)
| m2_nat_lat(X311,X311) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
fof(c_0_34,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& v13_lattices(esk1_0)
& ~ v13_lattices(k23_filter_2(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t21_filter_2]) ).
fof(c_0_36,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_37,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_struct_0(k8_filter_0(X1,X2)) = X2
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[t63_filter_0]) ).
fof(c_0_38,plain,
! [X606] :
( v3_struct_0(X606)
| ~ v10_lattices(X606)
| ~ l3_lattices(X606)
| m1_filter_0(u1_struct_0(X606),X606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_39,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_0]) ).
cnf(c_0_40,plain,
( u1_lattices(X1) = k1_realset1(u1_lattices(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( l3_lattices(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( v10_lattices(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| m2_nat_lat(X1,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,plain,
( u2_lattices(X1) = k1_realset1(u2_lattices(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_49,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t28_filter_2]) ).
fof(c_0_51,plain,
! [X539,X540] :
( ( ~ m2_filter_2(X540,X539)
| m1_filter_2(X540,k1_lattice2(X539))
| v3_struct_0(X539)
| ~ v10_lattices(X539)
| ~ l3_lattices(X539) )
& ( ~ m1_filter_2(X540,k1_lattice2(X539))
| m2_filter_2(X540,X539)
| v3_struct_0(X539)
| ~ v10_lattices(X539)
| ~ l3_lattices(X539) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_52,plain,
! [X470] :
( ( ~ v3_struct_0(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v3_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v4_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v5_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v6_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v7_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v8_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v9_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) )
& ( v10_lattices(k1_lattice2(X470))
| v3_struct_0(X470)
| ~ v10_lattices(X470)
| ~ l3_lattices(X470) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_53,plain,
! [X494,X495] :
( ( u1_struct_0(k8_filter_0(X494,X495)) = X495
| ~ m1_filter_0(X495,X494)
| v3_struct_0(X494)
| ~ v10_lattices(X494)
| ~ l3_lattices(X494) )
& ( u2_lattices(k8_filter_0(X494,X495)) = k1_realset1(u2_lattices(X494),X495)
| ~ m1_filter_0(X495,X494)
| v3_struct_0(X494)
| ~ v10_lattices(X494)
| ~ l3_lattices(X494) )
& ( u1_lattices(k8_filter_0(X494,X495)) = k1_realset1(u1_lattices(X494),X495)
| ~ m1_filter_0(X495,X494)
| v3_struct_0(X494)
| ~ v10_lattices(X494)
| ~ l3_lattices(X494) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_55,plain,
! [X528,X529] :
( ( ~ v3_struct_0(k8_filter_0(X528,X529))
| v3_struct_0(X528)
| ~ v10_lattices(X528)
| ~ l3_lattices(X528)
| ~ m1_filter_0(X529,X528) )
& ( v10_lattices(k8_filter_0(X528,X529))
| v3_struct_0(X528)
| ~ v10_lattices(X528)
| ~ l3_lattices(X528)
| ~ m1_filter_0(X529,X528) )
& ( l3_lattices(k8_filter_0(X528,X529))
| v3_struct_0(X528)
| ~ v10_lattices(X528)
| ~ l3_lattices(X528)
| ~ m1_filter_0(X529,X528) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_56,plain,
( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_57,negated_conjecture,
m2_nat_lat(esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_58,plain,
( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_48,c_0_41]),c_0_42]),c_0_43]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t70_filter_2]) ).
fof(c_0_60,plain,
! [X534,X535] :
( ( ~ m1_filter_2(X535,X534)
| m1_filter_0(X535,X534)
| v3_struct_0(X534)
| ~ v10_lattices(X534)
| ~ l3_lattices(X534) )
& ( ~ m1_filter_0(X535,X534)
| m1_filter_2(X535,X534)
| v3_struct_0(X534)
| ~ v10_lattices(X534)
| ~ l3_lattices(X534) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_61,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_62,plain,
! [X122] :
( v3_struct_0(X122)
| ~ v10_lattices(X122)
| ~ l3_lattices(X122)
| m2_filter_2(u1_struct_0(X122),X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
cnf(c_0_63,plain,
( m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_65,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
fof(c_0_67,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_2]) ).
fof(c_0_68,plain,
! [X262] :
( ~ l3_lattices(X262)
| k1_lattice2(X262) = g3_lattices(u1_struct_0(X262),u1_lattices(X262),u2_lattices(X262)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
cnf(c_0_69,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_70,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_71,plain,
( l3_lattices(k8_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_72,plain,
( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_74,plain,
( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_75,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_45]),c_0_46])]),c_0_47]) ).
fof(c_0_76,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).
fof(c_0_77,plain,
! [X75,X76] :
( v3_struct_0(X75)
| ~ v10_lattices(X75)
| ~ l3_lattices(X75)
| ~ m1_filter_2(X76,X75)
| k8_filter_0(X75,X76) = k23_filter_2(X75,X76) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
cnf(c_0_78,plain,
( m1_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_79,plain,
! [X91,X92] :
( ( ~ v1_xboole_0(X92)
| ~ m2_filter_2(X92,X91)
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( m2_lattice4(X92,X91)
| ~ m2_filter_2(X92,X91)
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_80,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_81,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v14_lattices(X1)
=> v14_lattices(k8_filter_0(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t66_filter_0]) ).
cnf(c_0_82,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_83,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_84,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_45]),c_0_46])]),c_0_47]) ).
fof(c_0_85,plain,
! [X478] :
( ( v3_lattices(k1_lattice2(X478))
| ~ l3_lattices(X478) )
& ( l3_lattices(k1_lattice2(X478))
| ~ l3_lattices(X478) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_86,plain,
! [X663] :
( ( ~ v13_lattices(X663)
| v14_lattices(k1_lattice2(X663))
| v3_struct_0(X663)
| ~ v10_lattices(X663)
| ~ l3_lattices(X663) )
& ( ~ v14_lattices(k1_lattice2(X663))
| v13_lattices(X663)
| v3_struct_0(X663)
| ~ v10_lattices(X663)
| ~ l3_lattices(X663) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_87,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc2_filter_0]) ).
fof(c_0_88,plain,
! [X530,X531] :
( ( ~ v1_xboole_0(X531)
| ~ m1_filter_2(X531,X530)
| v3_struct_0(X530)
| ~ v10_lattices(X530)
| ~ l3_lattices(X530) )
& ( m2_lattice4(X531,X530)
| ~ m1_filter_2(X531,X530)
| v3_struct_0(X530)
| ~ v10_lattices(X530)
| ~ l3_lattices(X530) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
fof(c_0_89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_90,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_91,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_92,negated_conjecture,
u1_struct_0(k8_filter_0(esk1_0,u1_struct_0(esk1_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_69,c_0_70]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_93,negated_conjecture,
l3_lattices(k8_filter_0(esk1_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_71,c_0_70]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_94,negated_conjecture,
u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(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_72,c_0_73]),c_0_70]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_95,negated_conjecture,
u2_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(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_74,c_0_75]),c_0_70]),c_0_45]),c_0_46])]),c_0_47]) ).
fof(c_0_96,plain,
! [X73,X74] :
( ( ~ v3_struct_0(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v3_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v4_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v5_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v6_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v7_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v8_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v9_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) )
& ( v10_lattices(k23_filter_2(X73,X74))
| v3_struct_0(X73)
| ~ v10_lattices(X73)
| ~ l3_lattices(X73)
| v1_xboole_0(X74)
| ~ m2_lattice4(X74,X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_97,plain,
( v3_struct_0(X1)
| k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_98,negated_conjecture,
m1_filter_2(u1_struct_0(esk1_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_78,c_0_70]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_99,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_79]) ).
cnf(c_0_100,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_101,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_79]) ).
fof(c_0_102,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k23_filter_2]) ).
fof(c_0_103,plain,
! [X508,X509] :
( v3_struct_0(X508)
| ~ v10_lattices(X508)
| ~ l3_lattices(X508)
| ~ m1_filter_0(X509,X508)
| ~ v14_lattices(X508)
| v14_lattices(k8_filter_0(X508,X509)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
cnf(c_0_104,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_105,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_106,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_107,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_108,plain,
! [X485,X486] :
( ( ~ v3_struct_0(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v3_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v4_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v5_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v6_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v7_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v8_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v9_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) )
& ( v10_lattices(k8_filter_0(X485,X486))
| v3_struct_0(X485)
| ~ v10_lattices(X485)
| ~ l3_lattices(X485)
| ~ m1_filter_0(X486,X485) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_109,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_110,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( u1_struct_0(k23_filter_2(X1,X2)) = X2
& u2_lattices(k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[t73_filter_2]) ).
fof(c_0_111,plain,
! [X263] :
( ( u1_struct_0(X263) = u1_struct_0(k1_lattice2(X263))
| v3_struct_0(X263)
| ~ l3_lattices(X263) )
& ( u2_lattices(X263) = u1_lattices(k1_lattice2(X263))
| v3_struct_0(X263)
| ~ l3_lattices(X263) )
& ( u1_lattices(X263) = u2_lattices(k1_lattice2(X263))
| v3_struct_0(X263)
| ~ l3_lattices(X263) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
fof(c_0_112,plain,
! [X476] :
( ( ~ v3_struct_0(k1_lattice2(X476))
| v3_struct_0(X476)
| ~ l3_lattices(X476) )
& ( v3_lattices(k1_lattice2(X476))
| v3_struct_0(X476)
| ~ l3_lattices(X476) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
cnf(c_0_113,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(k8_filter_0(esk1_0,u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),c_0_94]),c_0_95]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v3_struct_0(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_115,negated_conjecture,
k23_filter_2(esk1_0,u1_struct_0(esk1_0)) = k8_filter_0(esk1_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_97,c_0_98]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_116,negated_conjecture,
m2_lattice4(u1_struct_0(esk1_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_99,c_0_100]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_117,negated_conjecture,
~ v1_xboole_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_101,c_0_100]),c_0_45]),c_0_46])]),c_0_47]) ).
fof(c_0_118,plain,
! [X64,X65] :
( v3_struct_0(X64)
| ~ v10_lattices(X64)
| ~ l3_lattices(X64)
| v1_xboole_0(X65)
| ~ m2_lattice4(X65,X64)
| m2_nat_lat(k23_filter_2(X64,X65),X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])]) ).
cnf(c_0_119,plain,
( v3_struct_0(X1)
| v14_lattices(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v14_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_120,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_46])]) ).
cnf(c_0_121,negated_conjecture,
v14_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_122,plain,
( v10_lattices(k8_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_123,negated_conjecture,
( k23_filter_2(k1_lattice2(esk1_0),esk2_0) = k8_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_83]),c_0_84])]) ).
cnf(c_0_124,negated_conjecture,
( m2_lattice4(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_83]),c_0_84])]) ).
fof(c_0_125,plain,
! [X77,X78] :
( ( u1_struct_0(k23_filter_2(X77,X78)) = X78
| v1_xboole_0(X78)
| ~ m2_lattice4(X78,X77)
| v3_struct_0(X77)
| ~ v10_lattices(X77)
| ~ l3_lattices(X77) )
& ( u2_lattices(k23_filter_2(X77,X78)) = k1_realset1(u2_lattices(X77),X78)
| v1_xboole_0(X78)
| ~ m2_lattice4(X78,X77)
| v3_struct_0(X77)
| ~ v10_lattices(X77)
| ~ l3_lattices(X77) )
& ( u1_lattices(k23_filter_2(X77,X78)) = k1_realset1(u1_lattices(X77),X78)
| v1_xboole_0(X78)
| ~ m2_lattice4(X78,X77)
| v3_struct_0(X77)
| ~ v10_lattices(X77)
| ~ l3_lattices(X77) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])])]) ).
cnf(c_0_126,plain,
( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_128,negated_conjecture,
k1_lattice2(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = k1_lattice2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_113]),c_0_46])]) ).
cnf(c_0_129,negated_conjecture,
~ v3_struct_0(k8_filter_0(esk1_0,u1_struct_0(esk1_0))),
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(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_45]),c_0_46])]),c_0_47]),c_0_117]) ).
cnf(c_0_130,plain,
( u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_131,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_nat_lat(k23_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_132,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_64]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_133,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_64]),c_0_45]),c_0_46])]),c_0_47]) ).
fof(c_0_134,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
cnf(c_0_135,negated_conjecture,
( v14_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
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_84])]) ).
cnf(c_0_136,negated_conjecture,
( v10_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_84])]) ).
cnf(c_0_137,negated_conjecture,
( l3_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_120]),c_0_84])]) ).
cnf(c_0_138,negated_conjecture,
( k23_filter_2(k1_lattice2(esk1_0),esk2_0) = k8_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_105]),c_0_46])]) ).
cnf(c_0_139,negated_conjecture,
( m2_lattice4(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_105]),c_0_46])]) ).
cnf(c_0_140,plain,
( u2_lattices(k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_141,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_46]),c_0_47]) ).
cnf(c_0_142,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_93])]),c_0_129]) ).
cnf(c_0_143,negated_conjecture,
( u1_struct_0(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_120]),c_0_84])]) ).
cnf(c_0_144,plain,
( u1_lattices(k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_145,negated_conjecture,
u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_46]),c_0_47]) ).
fof(c_0_146,plain,
! [X261] :
( ~ l3_lattices(X261)
| ~ v3_lattices(X261)
| X261 = g3_lattices(u1_struct_0(X261),u2_lattices(X261),u1_lattices(X261)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_147,plain,
( u1_struct_0(k23_filter_2(X1,X2)) = X2
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_148,plain,
( v3_lattices(k23_filter_2(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_149,negated_conjecture,
m2_nat_lat(k23_filter_2(esk1_0,esk2_0),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_131,c_0_132]),c_0_45]),c_0_46])]),c_0_47]),c_0_133]) ).
fof(c_0_150,plain,
! [X664] :
( ( ~ v14_lattices(X664)
| v13_lattices(k1_lattice2(X664))
| v3_struct_0(X664)
| ~ v10_lattices(X664)
| ~ l3_lattices(X664) )
& ( ~ v13_lattices(k1_lattice2(X664))
| v14_lattices(X664)
| v3_struct_0(X664)
| ~ v10_lattices(X664)
| ~ l3_lattices(X664) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])]) ).
cnf(c_0_151,negated_conjecture,
( v14_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_105]),c_0_46])]) ).
cnf(c_0_152,negated_conjecture,
( v10_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_105]),c_0_46])]) ).
cnf(c_0_153,negated_conjecture,
( l3_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_105]),c_0_46])]) ).
cnf(c_0_154,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_138]),c_0_84])]),c_0_133]),c_0_139]) ).
cnf(c_0_155,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_128]),c_0_93])]) ).
cnf(c_0_156,negated_conjecture,
( u2_lattices(k23_filter_2(k1_lattice2(esk1_0),esk2_0)) = k1_realset1(u1_lattices(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_139]),c_0_141]),c_0_84])]),c_0_133]) ).
cnf(c_0_157,negated_conjecture,
k23_filter_2(k1_lattice2(esk1_0),esk2_0) = k8_filter_0(k1_lattice2(esk1_0),esk2_0),
inference(sr,[status(thm)],[c_0_138,c_0_142]) ).
cnf(c_0_158,negated_conjecture,
( u1_struct_0(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_105]),c_0_46])]) ).
cnf(c_0_159,negated_conjecture,
( u1_lattices(k23_filter_2(k1_lattice2(esk1_0),esk2_0)) = k1_realset1(u2_lattices(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_139]),c_0_145]),c_0_84])]),c_0_133]) ).
cnf(c_0_160,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_161,negated_conjecture,
u1_struct_0(k23_filter_2(esk1_0,esk2_0)) = esk2_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_147,c_0_132]),c_0_45]),c_0_46])]),c_0_47]),c_0_133]) ).
cnf(c_0_162,negated_conjecture,
v3_lattices(k23_filter_2(esk1_0,esk2_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_148,c_0_132]),c_0_45]),c_0_46])]),c_0_47]),c_0_133]) ).
cnf(c_0_163,negated_conjecture,
l3_lattices(k23_filter_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_149]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_164,negated_conjecture,
u2_lattices(k23_filter_2(esk1_0,esk2_0)) = k1_realset1(u2_lattices(esk1_0),esk2_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_140,c_0_132]),c_0_45]),c_0_46])]),c_0_47]),c_0_133]) ).
cnf(c_0_165,negated_conjecture,
u1_lattices(k23_filter_2(esk1_0,esk2_0)) = k1_realset1(u1_lattices(esk1_0),esk2_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_144,c_0_132]),c_0_45]),c_0_46])]),c_0_47]),c_0_133]) ).
cnf(c_0_166,plain,
( v13_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_167,negated_conjecture,
v14_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_151,c_0_142]) ).
cnf(c_0_168,negated_conjecture,
v10_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_152,c_0_142]) ).
cnf(c_0_169,negated_conjecture,
l3_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_153,c_0_142]) ).
cnf(c_0_170,negated_conjecture,
~ v3_struct_0(k8_filter_0(k1_lattice2(esk1_0),esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]),c_0_142]) ).
cnf(c_0_171,negated_conjecture,
u2_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = k1_realset1(u1_lattices(esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_155])]),c_0_142]),c_0_157]) ).
cnf(c_0_172,negated_conjecture,
u1_struct_0(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = esk2_0,
inference(sr,[status(thm)],[c_0_158,c_0_142]) ).
cnf(c_0_173,negated_conjecture,
u1_lattices(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = k1_realset1(u2_lattices(esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_155])]),c_0_142]),c_0_157]) ).
cnf(c_0_174,negated_conjecture,
g3_lattices(esk2_0,k1_realset1(u2_lattices(esk1_0),esk2_0),k1_realset1(u1_lattices(esk1_0),esk2_0)) = k23_filter_2(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]),c_0_163])]),c_0_164]),c_0_165]) ).
cnf(c_0_175,negated_conjecture,
v13_lattices(k1_lattice2(k8_filter_0(k1_lattice2(esk1_0),esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_169])]),c_0_170]) ).
cnf(c_0_176,negated_conjecture,
k1_lattice2(k8_filter_0(k1_lattice2(esk1_0),esk2_0)) = k23_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_91,c_0_171]),c_0_172]),c_0_173]),c_0_174]),c_0_169])]) ).
cnf(c_0_177,negated_conjecture,
~ v13_lattices(k23_filter_2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_178,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176]),c_0_177]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT333+4 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 09:41:59 EDT 2023
% 0.10/0.32 % CPUTime :
% 4.47/4.69 Running first-order model finding
% 4.47/4.69 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.YMr2btFfTI/E---3.1_22542.p
% 1504.06/198.24 # Version: 3.1pre001
% 1504.06/198.24 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1504.06/198.24 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1504.06/198.24 # Starting new_bool_3 with 897s (3) cores
% 1504.06/198.24 # Starting new_bool_1 with 897s (3) cores
% 1504.06/198.24 # Starting sh5l with 299s (1) cores
% 1504.06/198.24 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 1504.06/198.24 # new_bool_1 with pid 22620 completed with status 0
% 1504.06/198.24 # Result found by new_bool_1
% 1504.06/198.24 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1504.06/198.24 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1504.06/198.24 # Starting new_bool_3 with 897s (3) cores
% 1504.06/198.24 # Starting new_bool_1 with 897s (3) cores
% 1504.06/198.24 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1504.06/198.24 # Search class: FGHSM-SMLM32-MFFFFFNN
% 1504.06/198.24 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 1504.06/198.24 # Starting new_bool_1 with 90s (1) cores
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 1504.06/198.24 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 22629 completed with status 7
% 1504.06/198.24 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 22626 completed with status 7
% 1504.06/198.24 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 68s (1) cores
% 1504.06/198.24 # new_bool_1 with pid 22628 completed with status 7
% 1504.06/198.24 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 22635 completed with status 7
% 1504.06/198.24 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 22636 completed with status 7
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 68s (1) cores
% 1504.06/198.24 # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 22641 completed with status 7
% 1504.06/198.24 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 68s (1) cores
% 1504.06/198.24 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 22649 completed with status 0
% 1504.06/198.24 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 1504.06/198.24 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1504.06/198.24 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1504.06/198.24 # Starting new_bool_3 with 897s (3) cores
% 1504.06/198.24 # Starting new_bool_1 with 897s (3) cores
% 1504.06/198.24 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1504.06/198.24 # Search class: FGHSM-SMLM32-MFFFFFNN
% 1504.06/198.24 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 1504.06/198.24 # Starting new_bool_1 with 90s (1) cores
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 1504.06/198.24 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 22629 completed with status 7
% 1504.06/198.24 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 22626 completed with status 7
% 1504.06/198.24 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 68s (1) cores
% 1504.06/198.24 # new_bool_1 with pid 22628 completed with status 7
% 1504.06/198.24 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 22635 completed with status 7
% 1504.06/198.24 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 68s (1) cores
% 1504.06/198.24 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 22636 completed with status 7
% 1504.06/198.24 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 68s (1) cores
% 1504.06/198.24 # Preprocessing time : 0.073 s
% 1504.06/198.24 # Presaturation interreduction done
% 1504.06/198.24
% 1504.06/198.24 # Proof found!
% 1504.06/198.24 # SZS status Theorem
% 1504.06/198.24 # SZS output start CNFRefutation
% See solution above
% 1504.06/198.24 # Parsed axioms : 34749
% 1504.06/198.24 # Removed by relevancy pruning/SinE : 34002
% 1504.06/198.24 # Initial clauses : 1998
% 1504.06/198.24 # Removed in clause preprocessing : 116
% 1504.06/198.24 # Initial clauses in saturation : 1882
% 1504.06/198.24 # Processed clauses : 94724
% 1504.06/198.24 # ...of these trivial : 1325
% 1504.06/198.24 # ...subsumed : 64185
% 1504.06/198.24 # ...remaining for further processing : 29214
% 1504.06/198.24 # Other redundant clauses eliminated : 780
% 1504.06/198.24 # Clauses deleted for lack of memory : 0
% 1504.06/198.24 # Backward-subsumed : 2125
% 1504.06/198.24 # Backward-rewritten : 956
% 1504.06/198.24 # Generated clauses : 754671
% 1504.06/198.24 # ...of the previous two non-redundant : 699815
% 1504.06/198.24 # ...aggressively subsumed : 0
% 1504.06/198.24 # Contextual simplify-reflections : 1127
% 1504.06/198.24 # Paramodulations : 753468
% 1504.06/198.24 # Factorizations : 244
% 1504.06/198.24 # NegExts : 0
% 1504.06/198.24 # Equation resolutions : 795
% 1504.06/198.24 # Total rewrite steps : 338045
% 1504.06/198.24 # Propositional unsat checks : 5
% 1504.06/198.24 # Propositional check models : 0
% 1504.06/198.24 # Propositional check unsatisfiable : 0
% 1504.06/198.24 # Propositional clauses : 0
% 1504.06/198.24 # Propositional clauses after purity: 0
% 1504.06/198.24 # Propositional unsat core size : 0
% 1504.06/198.24 # Propositional preprocessing time : 0.000
% 1504.06/198.24 # Propositional encoding time : 1.699
% 1504.06/198.24 # Propositional solver time : 1.792
% 1504.06/198.24 # Success case prop preproc time : 0.000
% 1504.06/198.24 # Success case prop encoding time : 0.000
% 1504.06/198.24 # Success case prop solver time : 0.000
% 1504.06/198.24 # Current number of processed clauses : 24076
% 1504.06/198.24 # Positive orientable unit clauses : 7562
% 1504.06/198.24 # Positive unorientable unit clauses: 0
% 1504.06/198.24 # Negative unit clauses : 2912
% 1504.06/198.24 # Non-unit-clauses : 13602
% 1504.06/198.24 # Current number of unprocessed clauses: 601278
% 1504.06/198.24 # ...number of literals in the above : 2227197
% 1504.06/198.24 # Current number of archived formulas : 0
% 1504.06/198.24 # Current number of archived clauses : 4966
% 1504.06/198.24 # Clause-clause subsumption calls (NU) : 17490952
% 1504.06/198.24 # Rec. Clause-clause subsumption calls : 7835966
% 1504.06/198.24 # Non-unit clause-clause subsumptions : 27694
% 1504.06/198.24 # Unit Clause-clause subsumption calls : 12783099
% 1504.06/198.24 # Rewrite failures with RHS unbound : 0
% 1504.06/198.24 # BW rewrite match attempts : 24028
% 1504.06/198.24 # BW rewrite match successes : 217
% 1504.06/198.24 # Condensation attempts : 0
% 1504.06/198.24 # Condensation successes : 0
% 1504.06/198.24 # Termbank termtop insertions : 20019789
% 1504.06/198.24
% 1504.06/198.24 # -------------------------------------------------
% 1504.06/198.24 # User time : 477.073 s
% 1504.06/198.24 # System time : 5.841 s
% 1504.06/198.24 # Total time : 482.914 s
% 1504.06/198.24 # Maximum resident set size: 68360 pages
% 1504.06/198.24
% 1504.06/198.24 # -------------------------------------------------
% 1504.06/198.24 # User time : 555.753 s
% 1504.06/198.24 # System time : 7.173 s
% 1504.06/198.24 # Total time : 562.926 s
% 1504.06/198.24 # Maximum resident set size: 53868 pages
% 1504.06/198.24 % E---3.1 exiting
%------------------------------------------------------------------------------