TSTP Solution File: LAT328+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT328+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Thu Aug 31 06:01:25 EDT 2023
% Result : Theorem 125.16s 125.10s
% Output : CNFRefutation 125.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 68
% Syntax : Number of formulae : 179 ( 30 unt; 48 typ; 0 def)
% Number of atoms : 585 ( 27 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 734 ( 280 ~; 288 |; 101 &)
% ( 10 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 36 >; 16 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-3 aty)
% Number of variables : 218 ( 3 sgn; 125 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_27,type,
k22_filter_2: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
k6_domain_1: ( $i * $i ) > $i ).
tff(decl_29,type,
r1_filter_2: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_xboole_0: $i > $o ).
tff(decl_32,type,
v1_funct_1: $i > $o ).
tff(decl_33,type,
v4_lattices: $i > $o ).
tff(decl_34,type,
v5_lattices: $i > $o ).
tff(decl_35,type,
v6_lattices: $i > $o ).
tff(decl_36,type,
v7_lattices: $i > $o ).
tff(decl_37,type,
v8_lattices: $i > $o ).
tff(decl_38,type,
v9_lattices: $i > $o ).
tff(decl_39,type,
v1_realset1: $i > $o ).
tff(decl_40,type,
k1_zfmisc_1: $i > $i ).
tff(decl_41,type,
k1_tarski: $i > $i ).
tff(decl_42,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_43,type,
l1_lattices: $i > $o ).
tff(decl_44,type,
l1_struct_0: $i > $o ).
tff(decl_45,type,
l2_lattices: $i > $o ).
tff(decl_46,type,
k1_xboole_0: $i ).
tff(decl_47,type,
v1_finset_1: $i > $o ).
tff(decl_48,type,
r3_lattices: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk5_0: $i ).
tff(decl_56,type,
esk6_0: $i ).
tff(decl_57,type,
esk7_0: $i ).
tff(decl_58,type,
esk8_0: $i ).
tff(decl_59,type,
esk9_1: $i > $i ).
tff(decl_60,type,
esk10_1: $i > $i ).
tff(decl_61,type,
esk11_1: $i > $i ).
tff(decl_62,type,
esk12_0: $i ).
tff(decl_63,type,
esk13_1: $i > $i ).
tff(decl_64,type,
esk14_0: $i ).
tff(decl_65,type,
esk15_0: $i ).
tff(decl_66,type,
esk16_1: $i > $i ).
tff(decl_67,type,
esk17_0: $i ).
tff(decl_68,type,
esk18_0: $i ).
tff(decl_69,type,
esk19_1: $i > $i ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(t65_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_filter_2(u1_struct_0(X1),k22_filter_2(X1,X2,X2),k6_domain_1(u1_struct_0(X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_filter_2) ).
fof(reflexivity_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
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(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(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(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(dt_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
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(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(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(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(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(t26_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r1_lattices(X1,X2,X3)
& r1_lattices(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(redefinition_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(c_0_20,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_filter_2(u1_struct_0(X1),k22_filter_2(X1,X2,X2),k6_domain_1(u1_struct_0(X1),X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t65_filter_2])]) ).
fof(c_0_22,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[reflexivity_r3_lattices]) ).
fof(c_0_23,plain,
! [X10] :
( ( ~ v3_struct_0(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v4_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v5_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v6_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v7_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v8_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) )
& ( v9_lattices(X10)
| v3_struct_0(X10)
| ~ v10_lattices(X10)
| ~ l3_lattices(X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,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))
& ~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_25,plain,
! [X32] :
( ( l1_lattices(X32)
| ~ l3_lattices(X32) )
& ( l2_lattices(X32)
| ~ l3_lattices(X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_26,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]) ).
fof(c_0_27,plain,
! [X72,X73,X74] :
( v3_struct_0(X72)
| ~ v6_lattices(X72)
| ~ v8_lattices(X72)
| ~ v9_lattices(X72)
| ~ l3_lattices(X72)
| ~ m1_subset_1(X73,u1_struct_0(X72))
| ~ m1_subset_1(X74,u1_struct_0(X72))
| r3_lattices(X72,X73,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
cnf(c_0_28,plain,
( v9_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( v8_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( v6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_34,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_35,plain,
! [X30] :
( ~ l1_lattices(X30)
| l1_struct_0(X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_36,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_37,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]) ).
fof(c_0_38,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_domain_1]) ).
fof(c_0_39,plain,
! [X93,X94,X95,X96] :
( ( r3_lattices(X93,X94,X96)
| ~ r2_hidden(X96,k22_filter_2(X93,X94,X95))
| ~ r3_lattices(X93,X94,X95)
| ~ m1_subset_1(X96,u1_struct_0(X93))
| ~ m1_subset_1(X95,u1_struct_0(X93))
| ~ m1_subset_1(X94,u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v10_lattices(X93)
| ~ l3_lattices(X93) )
& ( r3_lattices(X93,X96,X95)
| ~ r2_hidden(X96,k22_filter_2(X93,X94,X95))
| ~ r3_lattices(X93,X94,X95)
| ~ m1_subset_1(X96,u1_struct_0(X93))
| ~ m1_subset_1(X95,u1_struct_0(X93))
| ~ m1_subset_1(X94,u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v10_lattices(X93)
| ~ l3_lattices(X93) )
& ( ~ r3_lattices(X93,X94,X96)
| ~ r3_lattices(X93,X96,X95)
| r2_hidden(X96,k22_filter_2(X93,X94,X95))
| ~ r3_lattices(X93,X94,X95)
| ~ m1_subset_1(X96,u1_struct_0(X93))
| ~ m1_subset_1(X95,u1_struct_0(X93))
| ~ m1_subset_1(X94,u1_struct_0(X93))
| v3_struct_0(X93)
| ~ v10_lattices(X93)
| ~ l3_lattices(X93) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_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_27]) ).
cnf(c_0_41,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42,negated_conjecture,
v9_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_43,negated_conjecture,
v8_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_44,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_45,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_46,plain,
! [X43] :
( v3_struct_0(X43)
| ~ l1_struct_0(X43)
| ~ v1_xboole_0(u1_struct_0(X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_47,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
fof(c_0_49,plain,
! [X25,X26,X27] :
( ( ~ v1_xboole_0(k22_filter_2(X25,X26,X27))
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25)
| ~ m1_subset_1(X26,u1_struct_0(X25))
| ~ m1_subset_1(X27,u1_struct_0(X25)) )
& ( m2_lattice4(k22_filter_2(X25,X26,X27),X25)
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25)
| ~ m1_subset_1(X26,u1_struct_0(X25))
| ~ m1_subset_1(X27,u1_struct_0(X25)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_50,plain,
! [X28,X29] :
( v1_xboole_0(X28)
| ~ m1_subset_1(X29,X28)
| m1_subset_1(k6_domain_1(X28,X29),k1_zfmisc_1(X28)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
fof(c_0_51,plain,
! [X78,X79] :
( ~ r2_hidden(X78,X79)
| m1_subset_1(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_52,plain,
! [X98,X99] :
( ~ r2_hidden(X98,X99)
| ~ v1_xboole_0(X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_53,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_39]) ).
cnf(c_0_54,negated_conjecture,
( r3_lattices(esk1_0,X1,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(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]),c_0_29])]),c_0_31]) ).
fof(c_0_55,plain,
! [X60,X61] :
( v1_xboole_0(X60)
| ~ m1_subset_1(X61,X60)
| k6_domain_1(X60,X61) = k1_tarski(X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_58,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_59,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]) ).
cnf(c_0_60,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_49]) ).
fof(c_0_61,plain,
! [X87,X88,X89] :
( ~ r2_hidden(X87,X88)
| ~ m1_subset_1(X88,k1_zfmisc_1(X89))
| m1_subset_1(X87,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_62,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_65,negated_conjecture,
( r2_hidden(X1,k22_filter_2(esk1_0,X2,esk2_0))
| ~ r3_lattices(esk1_0,X1,esk2_0)
| ~ r3_lattices(esk1_0,X2,esk2_0)
| ~ r3_lattices(esk1_0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,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_53,c_0_41]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_66,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_54,c_0_41]) ).
cnf(c_0_67,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_57])]) ).
fof(c_0_69,plain,
! [X13,X14,X15,X16] :
( ( ~ r2_hidden(X16,X14)
| r2_hidden(X16,X15)
| ~ m1_subset_1(X16,X13)
| ~ r1_filter_2(X13,X14,X15)
| ~ m1_subset_1(X15,k1_zfmisc_1(X13))
| ~ m1_subset_1(X14,k1_zfmisc_1(X13))
| v1_xboole_0(X13) )
& ( ~ r2_hidden(X16,X15)
| r2_hidden(X16,X14)
| ~ m1_subset_1(X16,X13)
| ~ r1_filter_2(X13,X14,X15)
| ~ m1_subset_1(X15,k1_zfmisc_1(X13))
| ~ m1_subset_1(X14,k1_zfmisc_1(X13))
| v1_xboole_0(X13) )
& ( m1_subset_1(esk3_3(X13,X14,X15),X13)
| r1_filter_2(X13,X14,X15)
| ~ m1_subset_1(X15,k1_zfmisc_1(X13))
| ~ m1_subset_1(X14,k1_zfmisc_1(X13))
| v1_xboole_0(X13) )
& ( ~ r2_hidden(esk3_3(X13,X14,X15),X14)
| ~ r2_hidden(esk3_3(X13,X14,X15),X15)
| r1_filter_2(X13,X14,X15)
| ~ m1_subset_1(X15,k1_zfmisc_1(X13))
| ~ m1_subset_1(X14,k1_zfmisc_1(X13))
| v1_xboole_0(X13) )
& ( r2_hidden(esk3_3(X13,X14,X15),X14)
| r2_hidden(esk3_3(X13,X14,X15),X15)
| r1_filter_2(X13,X14,X15)
| ~ m1_subset_1(X15,k1_zfmisc_1(X13))
| ~ m1_subset_1(X14,k1_zfmisc_1(X13))
| v1_xboole_0(X13) ) ),
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_58])])])])]) ).
fof(c_0_70,plain,
! [X90,X91,X92] :
( ~ r2_hidden(X90,X91)
| ~ m1_subset_1(X91,k1_zfmisc_1(X92))
| ~ v1_xboole_0(X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_71,plain,
! [X33,X34] :
( v3_struct_0(X33)
| ~ v10_lattices(X33)
| ~ l3_lattices(X33)
| ~ m2_lattice4(X34,X33)
| m1_subset_1(X34,k1_zfmisc_1(u1_struct_0(X33))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
cnf(c_0_72,negated_conjecture,
( m2_lattice4(k22_filter_2(esk1_0,X1,esk2_0),esk1_0)
| ~ 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_60,c_0_41]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_73,plain,
! [X83,X84] :
( ~ m1_subset_1(X83,X84)
| v1_xboole_0(X84)
| r2_hidden(X83,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_74,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_61]) ).
cnf(c_0_75,plain,
( m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( r2_hidden(esk2_0,k22_filter_2(esk1_0,X1,esk2_0))
| ~ r3_lattices(esk1_0,X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_41])]) ).
cnf(c_0_77,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_78,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_41]),c_0_68]) ).
cnf(c_0_79,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_69]) ).
cnf(c_0_80,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,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_71]) ).
cnf(c_0_82,negated_conjecture,
m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_72,c_0_41]) ).
cnf(c_0_83,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,k6_domain_1(X2,X3))
| ~ r2_hidden(X3,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ r2_hidden(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_64]) ).
cnf(c_0_86,negated_conjecture,
r2_hidden(esk2_0,k22_filter_2(esk1_0,esk2_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_41]),c_0_66])]) ).
fof(c_0_87,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r1_lattices(X1,X2,X3)
& r1_lattices(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[t26_lattices]) ).
fof(c_0_88,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_r3_lattices]) ).
cnf(c_0_89,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_90,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_79,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_41]),c_0_78]),c_0_68]) ).
cnf(c_0_92,negated_conjecture,
m1_subset_1(k22_filter_2(esk1_0,esk2_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_93,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k6_domain_1(X2,X3))
| ~ r2_hidden(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_64]) ).
cnf(c_0_94,negated_conjecture,
k6_domain_1(k22_filter_2(esk1_0,esk2_0,esk2_0),esk2_0) = k1_tarski(esk2_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_95,plain,
! [X80,X81,X82] :
( v3_struct_0(X80)
| ~ v4_lattices(X80)
| ~ l2_lattices(X80)
| ~ m1_subset_1(X81,u1_struct_0(X80))
| ~ m1_subset_1(X82,u1_struct_0(X80))
| ~ r1_lattices(X80,X81,X82)
| ~ r1_lattices(X80,X82,X81)
| X81 = X82 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_96,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_97,plain,
( v4_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_98,plain,
! [X65,X66,X67] :
( ( ~ r3_lattices(X65,X66,X67)
| r1_lattices(X65,X66,X67)
| v3_struct_0(X65)
| ~ v6_lattices(X65)
| ~ v8_lattices(X65)
| ~ v9_lattices(X65)
| ~ l3_lattices(X65)
| ~ m1_subset_1(X66,u1_struct_0(X65))
| ~ m1_subset_1(X67,u1_struct_0(X65)) )
& ( ~ r1_lattices(X65,X66,X67)
| r3_lattices(X65,X66,X67)
| v3_struct_0(X65)
| ~ v6_lattices(X65)
| ~ v8_lattices(X65)
| ~ v9_lattices(X65)
| ~ l3_lattices(X65)
| ~ m1_subset_1(X66,u1_struct_0(X65))
| ~ m1_subset_1(X67,u1_struct_0(X65)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
cnf(c_0_99,plain,
( m1_subset_1(esk3_3(X1,X2,X3),X1)
| 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_69]) ).
cnf(c_0_100,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_69]) ).
cnf(c_0_101,negated_conjecture,
( ~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0))
| ~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92])]) ).
cnf(c_0_102,negated_conjecture,
( r2_hidden(X1,k22_filter_2(esk1_0,esk2_0,esk2_0))
| ~ r2_hidden(X1,k1_tarski(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_86])]) ).
cnf(c_0_103,plain,
( v3_struct_0(X1)
| X2 = X3
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3)
| ~ r1_lattices(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_96,c_0_29]) ).
cnf(c_0_105,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_106,plain,
( r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_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_98]) ).
cnf(c_0_107,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_92]) ).
cnf(c_0_108,negated_conjecture,
( r1_filter_2(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_91]),c_0_68]) ).
cnf(c_0_109,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0)),k1_tarski(esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0)),X1)
| r1_filter_2(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_91]),c_0_68]) ).
cnf(c_0_110,negated_conjecture,
~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0)),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
( X1 = esk2_0
| ~ r1_lattices(esk1_0,esk2_0,X1)
| ~ r1_lattices(esk1_0,X1,esk2_0)
| ~ 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_103,c_0_41]),c_0_104]),c_0_105])]),c_0_31]) ).
cnf(c_0_112,negated_conjecture,
( r1_lattices(esk1_0,X1,X2)
| ~ r3_lattices(esk1_0,X1,X2)
| ~ r2_hidden(X2,k22_filter_2(esk1_0,esk2_0,esk2_0))
| ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_42]),c_0_43]),c_0_44]),c_0_29])]),c_0_31]) ).
cnf(c_0_113,negated_conjecture,
( r1_lattices(esk1_0,X1,esk2_0)
| ~ r3_lattices(esk1_0,X1,esk2_0)
| ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_29])]),c_0_31]) ).
cnf(c_0_114,negated_conjecture,
m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_89]) ).
cnf(c_0_115,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_39]) ).
cnf(c_0_116,negated_conjecture,
r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_92]),c_0_89]),c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( X1 = esk2_0
| ~ r1_lattices(esk1_0,esk2_0,X1)
| ~ r1_lattices(esk1_0,X1,esk2_0)
| ~ r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_63]) ).
cnf(c_0_118,negated_conjecture,
( r1_lattices(esk1_0,esk2_0,X1)
| ~ r3_lattices(esk1_0,esk2_0,X1)
| ~ r2_hidden(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_41]) ).
cnf(c_0_119,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_107]),c_0_68]) ).
cnf(c_0_120,negated_conjecture,
( r1_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),esk2_0)
| ~ r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_66]),c_0_41]),c_0_114]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_122,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r2_hidden(X3,k22_filter_2(X1,X2,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_39]) ).
fof(c_0_123,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( ~ r2_hidden(X20,X19)
| X20 = X18
| X19 != k1_tarski(X18) )
& ( X21 != X18
| r2_hidden(X21,X19)
| X19 != k1_tarski(X18) )
& ( ~ r2_hidden(esk4_2(X22,X23),X23)
| esk4_2(X22,X23) != X22
| X23 = k1_tarski(X22) )
& ( r2_hidden(esk4_2(X22,X23),X23)
| esk4_2(X22,X23) = X22
| X23 = k1_tarski(X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
cnf(c_0_124,negated_conjecture,
( X1 = esk2_0
| ~ r1_lattices(esk1_0,X1,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,X1)
| ~ r2_hidden(X1,k22_filter_2(esk1_0,esk2_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_125,negated_conjecture,
r1_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_126,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_116]),c_0_66]),c_0_41]),c_0_114]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_127,plain,
( r2_hidden(X1,X3)
| X1 != X2
| X3 != k1_tarski(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_128,negated_conjecture,
esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_116])]) ).
cnf(c_0_129,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_127])]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_128]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT328+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:08:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 125.08/125.10 % Version : CSE_E---1.5
% 125.16/125.10 % Problem : theBenchmark.p
% 125.16/125.10 % Proof found
% 125.16/125.10 % SZS status Theorem for theBenchmark.p
% 125.16/125.10 % SZS output start Proof
% See solution above
% 125.16/125.12 % Total time : 124.523000 s
% 125.16/125.12 % SZS output end Proof
% 125.16/125.12 % Total time : 124.533000 s
%------------------------------------------------------------------------------