TSTP Solution File: LAT337+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT337+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 06:01:36 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 83
% Syntax : Number of formulae : 136 ( 12 unt; 76 typ; 0 def)
% Number of atoms : 539 ( 0 equ)
% Maximal formula atoms : 65 ( 8 avg)
% Number of connectives : 780 ( 301 ~; 316 |; 127 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 55 >; 27 *; 0 +; 0 <<)
% Number of predicates : 38 ( 37 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 21 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn; 39 !; 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,
v17_lattices: $i > $o ).
tff(decl_28,type,
r3_lattices: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
k22_filter_2: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
k23_filter_2: ( $i * $i ) > $i ).
tff(decl_31,type,
v3_lattices: $i > $o ).
tff(decl_32,type,
u2_lattices: $i > $i ).
tff(decl_33,type,
u1_lattices: $i > $i ).
tff(decl_34,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_xboole_0: $i > $o ).
tff(decl_37,type,
v1_funct_1: $i > $o ).
tff(decl_38,type,
v4_lattices: $i > $o ).
tff(decl_39,type,
v5_lattices: $i > $o ).
tff(decl_40,type,
v6_lattices: $i > $o ).
tff(decl_41,type,
v7_lattices: $i > $o ).
tff(decl_42,type,
v8_lattices: $i > $o ).
tff(decl_43,type,
v9_lattices: $i > $o ).
tff(decl_44,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_45,type,
k1_zfmisc_1: $i > $i ).
tff(decl_46,type,
v1_relat_1: $i > $o ).
tff(decl_47,type,
v2_funct_1: $i > $o ).
tff(decl_48,type,
v13_lattices: $i > $o ).
tff(decl_49,type,
v14_lattices: $i > $o ).
tff(decl_50,type,
v15_lattices: $i > $o ).
tff(decl_51,type,
v11_lattices: $i > $o ).
tff(decl_52,type,
v16_lattices: $i > $o ).
tff(decl_53,type,
v12_lattices: $i > $o ).
tff(decl_54,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_57,type,
m2_nat_lat: ( $i * $i ) > $o ).
tff(decl_58,type,
l1_lattices: $i > $o ).
tff(decl_59,type,
l1_struct_0: $i > $o ).
tff(decl_60,type,
l2_lattices: $i > $o ).
tff(decl_61,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
k1_xboole_0: $i ).
tff(decl_63,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_64,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_66,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_68,type,
esk1_0: $i ).
tff(decl_69,type,
esk2_0: $i ).
tff(decl_70,type,
esk3_0: $i ).
tff(decl_71,type,
esk4_0: $i ).
tff(decl_72,type,
esk5_0: $i ).
tff(decl_73,type,
esk6_0: $i ).
tff(decl_74,type,
esk7_0: $i ).
tff(decl_75,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk9_1: $i > $i ).
tff(decl_77,type,
esk10_1: $i > $i ).
tff(decl_78,type,
esk11_1: $i > $i ).
tff(decl_79,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk13_0: $i ).
tff(decl_81,type,
esk14_0: $i ).
tff(decl_82,type,
esk15_0: $i ).
tff(decl_83,type,
esk16_0: $i ).
tff(decl_84,type,
esk17_0: $i ).
tff(decl_85,type,
esk18_1: $i > $i ).
tff(decl_86,type,
esk19_1: $i > $i ).
tff(decl_87,type,
esk20_1: $i > $i ).
tff(decl_88,type,
esk21_0: $i ).
tff(decl_89,type,
esk22_0: $i ).
tff(decl_90,type,
esk23_1: $i > $i ).
tff(decl_91,type,
esk24_0: $i ).
tff(decl_92,type,
esk25_0: $i ).
tff(decl_93,type,
esk26_0: $i ).
tff(decl_94,type,
esk27_0: $i ).
tff(decl_95,type,
esk28_1: $i > $i ).
tff(decl_96,type,
esk29_0: $i ).
tff(decl_97,type,
esk30_0: $i ).
fof(t87_filter_2,conjecture,
! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(t86_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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(t78_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(cc7_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
fof(c_0_7,negated_conjecture,
~ ! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t87_filter_2])]) ).
fof(c_0_8,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
fof(c_0_9,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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t86_filter_2]) ).
fof(c_0_10,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_11,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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& r3_lattices(esk1_0,esk2_0,esk3_0)
& ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,plain,
! [X23] :
( ( ~ v3_struct_0(X23)
| v3_struct_0(X23)
| ~ v11_lattices(X23)
| ~ v15_lattices(X23)
| ~ v16_lattices(X23)
| ~ l3_lattices(X23) )
& ( v17_lattices(X23)
| v3_struct_0(X23)
| ~ v11_lattices(X23)
| ~ v15_lattices(X23)
| ~ v16_lattices(X23)
| ~ l3_lattices(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X130,X131,X132] :
( ( ~ v3_struct_0(k23_filter_2(X130,k22_filter_2(X130,X131,X132)))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ v15_lattices(X130)
| ~ v16_lattices(X130)
| ~ l3_lattices(X130)
| ~ v12_lattices(X130)
| ~ r3_lattices(X130,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(X130))
| ~ m1_subset_1(X131,u1_struct_0(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) )
& ( v10_lattices(k23_filter_2(X130,k22_filter_2(X130,X131,X132)))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ v15_lattices(X130)
| ~ v16_lattices(X130)
| ~ l3_lattices(X130)
| ~ v12_lattices(X130)
| ~ r3_lattices(X130,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(X130))
| ~ m1_subset_1(X131,u1_struct_0(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) )
& ( v15_lattices(k23_filter_2(X130,k22_filter_2(X130,X131,X132)))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ v15_lattices(X130)
| ~ v16_lattices(X130)
| ~ l3_lattices(X130)
| ~ v12_lattices(X130)
| ~ r3_lattices(X130,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(X130))
| ~ m1_subset_1(X131,u1_struct_0(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) )
& ( v16_lattices(k23_filter_2(X130,k22_filter_2(X130,X131,X132)))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ v15_lattices(X130)
| ~ v16_lattices(X130)
| ~ l3_lattices(X130)
| ~ v12_lattices(X130)
| ~ r3_lattices(X130,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(X130))
| ~ m1_subset_1(X131,u1_struct_0(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) )
& ( l3_lattices(k23_filter_2(X130,k22_filter_2(X130,X131,X132)))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ v15_lattices(X130)
| ~ v16_lattices(X130)
| ~ l3_lattices(X130)
| ~ v12_lattices(X130)
| ~ r3_lattices(X130,X131,X132)
| ~ m1_subset_1(X132,u1_struct_0(X130))
| ~ m1_subset_1(X131,u1_struct_0(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_14,plain,
! [X22] :
( ( ~ v3_struct_0(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) )
& ( v11_lattices(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) )
& ( v13_lattices(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) )
& ( v14_lattices(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) )
& ( v15_lattices(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) )
& ( v16_lattices(X22)
| v3_struct_0(X22)
| ~ v17_lattices(X22)
| ~ l3_lattices(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_15,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t78_filter_2]) ).
cnf(c_0_24,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_27,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_32,plain,
! [X126,X127] :
( v3_struct_0(X126)
| ~ v10_lattices(X126)
| ~ l3_lattices(X126)
| v1_xboole_0(X127)
| ~ m2_lattice4(X127,X126)
| ~ v11_lattices(X126)
| v11_lattices(k23_filter_2(X126,X127)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_33,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
v11_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_37,plain,
( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_38,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).
cnf(c_0_39,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ v12_lattices(esk1_0)
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_37]) ).
fof(c_0_41,plain,
! [X28,X29,X30] :
( ( ~ v1_xboole_0(k22_filter_2(X28,X29,X30))
| v3_struct_0(X28)
| ~ v10_lattices(X28)
| ~ l3_lattices(X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ m1_subset_1(X30,u1_struct_0(X28)) )
& ( m2_lattice4(k22_filter_2(X28,X29,X30),X28)
| v3_struct_0(X28)
| ~ v10_lattices(X28)
| ~ l3_lattices(X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ m1_subset_1(X30,u1_struct_0(X28)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_42,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_43,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_41]) ).
cnf(c_0_44,plain,
( v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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_42,c_0_43]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_46,plain,
( v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_44]) ).
cnf(c_0_47,plain,
( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_lattices(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
fof(c_0_53,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_lattices]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
| ~ 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_41]) ).
cnf(c_0_55,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| ~ v12_lattices(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
fof(c_0_56,plain,
! [X24] :
( ( ~ v3_struct_0(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v4_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v5_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v6_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v7_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v8_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v9_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v10_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) )
& ( v12_lattices(X24)
| v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ v11_lattices(X24)
| ~ l3_lattices(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_57,negated_conjecture,
~ v12_lattices(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_54,c_0_55]),c_0_29]),c_0_30]),c_0_20]),c_0_31])]),c_0_21]) ).
cnf(c_0_58,plain,
( v12_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_59,negated_conjecture,
$false,
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_57,c_0_58]),c_0_36]),c_0_20]),c_0_31])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT337+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 05:33:38 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.61 % Total time : 0.032000 s
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time : 0.037000 s
%------------------------------------------------------------------------------