TSTP Solution File: LAT304+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT304+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 : n018.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 06:00:59 EDT 2023
% Result : Theorem 0.87s 0.94s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 78
% Syntax : Number of formulae : 147 ( 6 unt; 63 typ; 0 def)
% Number of atoms : 402 ( 39 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 529 ( 211 ~; 208 |; 83 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 70 ( 48 >; 22 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 15 con; 0-3 aty)
% Number of variables : 137 ( 16 sgn; 59 !; 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,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_27,type,
v3_lattices: $i > $o ).
tff(decl_28,type,
u2_lattices: $i > $i ).
tff(decl_29,type,
u1_lattices: $i > $i ).
tff(decl_30,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
v1_funct_1: $i > $o ).
tff(decl_34,type,
v4_lattices: $i > $o ).
tff(decl_35,type,
v5_lattices: $i > $o ).
tff(decl_36,type,
v6_lattices: $i > $o ).
tff(decl_37,type,
v7_lattices: $i > $o ).
tff(decl_38,type,
v8_lattices: $i > $o ).
tff(decl_39,type,
v9_lattices: $i > $o ).
tff(decl_40,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_41,type,
k1_zfmisc_1: $i > $i ).
tff(decl_42,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_relat_1: $i > $o ).
tff(decl_44,type,
v2_funct_1: $i > $o ).
tff(decl_45,type,
k1_lattice2: $i > $i ).
tff(decl_46,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
l1_lattices: $i > $o ).
tff(decl_49,type,
l1_struct_0: $i > $o ).
tff(decl_50,type,
l2_lattices: $i > $o ).
tff(decl_51,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_52,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(decl_53,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_54,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
k1_xboole_0: $i ).
tff(decl_56,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_57,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_59,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_60,type,
esk1_0: $i ).
tff(decl_61,type,
esk2_0: $i ).
tff(decl_62,type,
esk3_0: $i ).
tff(decl_63,type,
esk4_0: $i ).
tff(decl_64,type,
esk5_0: $i ).
tff(decl_65,type,
esk6_1: $i > $i ).
tff(decl_66,type,
esk7_1: $i > $i ).
tff(decl_67,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk9_1: $i > $i ).
tff(decl_69,type,
esk10_1: $i > $i ).
tff(decl_70,type,
esk11_1: $i > $i ).
tff(decl_71,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk13_0: $i ).
tff(decl_73,type,
esk14_1: $i > $i ).
tff(decl_74,type,
esk15_1: $i > $i ).
tff(decl_75,type,
esk16_0: $i ).
tff(decl_76,type,
esk17_0: $i ).
tff(decl_77,type,
esk18_1: $i > $i ).
tff(decl_78,type,
esk19_0: $i ).
tff(decl_79,type,
esk20_0: $i ).
tff(decl_80,type,
esk21_0: $i ).
tff(decl_81,type,
esk22_0: $i ).
tff(decl_82,type,
esk23_1: $i > $i ).
tff(decl_83,type,
esk24_0: $i ).
tff(decl_84,type,
esk25_0: $i ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
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/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(t28_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_m1_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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',fc6_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/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_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/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(c_0_15,plain,
! [X97,X98,X99] :
( ( ~ m2_relset_1(X99,X97,X98)
| m1_relset_1(X99,X97,X98) )
& ( ~ m1_relset_1(X99,X97,X98)
| m2_relset_1(X99,X97,X98) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_16,plain,
! [X38] :
( ( v1_funct_1(u2_lattices(X38))
| ~ l2_lattices(X38) )
& ( v1_funct_2(u2_lattices(X38),k2_zfmisc_1(u1_struct_0(X38),u1_struct_0(X38)),u1_struct_0(X38))
| ~ l2_lattices(X38) )
& ( m2_relset_1(u2_lattices(X38),k2_zfmisc_1(u1_struct_0(X38),u1_struct_0(X38)),u1_struct_0(X38))
| ~ l2_lattices(X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_17,plain,
! [X72,X73,X74,X75,X76,X77] :
( ( X72 = X75
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) )
& ( X73 = X76
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) )
& ( X74 = X77
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_18,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X37] :
( ( v1_funct_1(u1_lattices(X37))
| ~ l1_lattices(X37) )
& ( v1_funct_2(u1_lattices(X37),k2_zfmisc_1(u1_struct_0(X37),u1_struct_0(X37)),u1_struct_0(X37))
| ~ l1_lattices(X37) )
& ( m2_relset_1(u1_lattices(X37),k2_zfmisc_1(u1_struct_0(X37),u1_struct_0(X37)),u1_struct_0(X37))
| ~ l1_lattices(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_21,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),X1,u2_lattices(X3)) != g3_lattices(X4,X2,X5)
| ~ l2_lattices(X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_28,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
! [X18] :
( ~ l3_lattices(X18)
| k1_lattice2(X18) = g3_lattices(u1_struct_0(X18),u1_lattices(X18),u2_lattices(X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
fof(c_0_31,plain,
! [X25] :
( ( l1_lattices(X25)
| ~ l3_lattices(X25) )
& ( l2_lattices(X25)
| ~ l3_lattices(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_32,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_33,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_30]) ).
cnf(c_0_34,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_filter_2])]) ).
cnf(c_0_37,plain,
( u1_lattices(X1) = X2
| k1_lattice2(X1) != g3_lattices(X3,X2,X4)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
fof(c_0_38,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_39,plain,
! [X19,X20,X21] :
( ( v3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) )
& ( l3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).
fof(c_0_40,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_41,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]) ).
cnf(c_0_42,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
( u1_lattices(X1) = u1_lattices(X2)
| k1_lattice2(X1) != k1_lattice2(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( l3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,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_48,plain,
! [X95,X96] :
( ( ~ m1_filter_2(X96,X95)
| m1_filter_0(X96,X95)
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ l3_lattices(X95) )
& ( ~ m1_filter_0(X96,X95)
| m1_filter_2(X96,X95)
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ l3_lattices(X95) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_49,plain,
! [X101] :
( v3_struct_0(X101)
| ~ v10_lattices(X101)
| ~ l3_lattices(X101)
| m1_filter_0(u1_struct_0(X101),X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
fof(c_0_50,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_51,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_52,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u2_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ l2_lattices(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_53,negated_conjecture,
( u1_lattices(esk1_0) = u1_lattices(X1)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_55,plain,
( v3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_22]),c_0_23]),c_0_24]) ).
fof(c_0_56,plain,
! [X104,X105] :
( ( ~ m2_filter_2(X105,X104)
| m1_filter_2(X105,k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( ~ m1_filter_2(X105,k1_lattice2(X104))
| m2_filter_2(X105,X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
cnf(c_0_57,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_48]) ).
cnf(c_0_58,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_49]) ).
fof(c_0_59,plain,
! [X71] :
( ( ~ v3_struct_0(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v3_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v4_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v5_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v6_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v7_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v8_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v9_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v10_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
fof(c_0_60,plain,
! [X22] :
( ( v3_lattices(k1_lattice2(X22))
| ~ l3_lattices(X22) )
& ( l3_lattices(k1_lattice2(X22))
| ~ l3_lattices(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_61,plain,
! [X59] :
( ( ~ v3_struct_0(k1_lattice2(X59))
| v3_struct_0(X59)
| ~ l3_lattices(X59) )
& ( v3_lattices(k1_lattice2(X59))
| v3_struct_0(X59)
| ~ l3_lattices(X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
cnf(c_0_62,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_63,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u1_lattices(X1),u2_lattices(esk1_0)) = k1_lattice2(esk1_0)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_53]),c_0_44])]) ).
fof(c_0_64,plain,
! [X8] :
( ~ l3_lattices(X8)
| ~ v3_lattices(X8)
| X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_65,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_66,plain,
( v3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_67,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,k1_lattice2(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,plain,
( m1_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44])]) ).
cnf(c_0_73,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_64]) ).
cnf(c_0_74,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_44])]) ).
cnf(c_0_75,negated_conjecture,
( v3_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_44])]) ).
cnf(c_0_76,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73])]),c_0_74]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_80,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_81,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l1_lattices(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_76,c_0_77]),c_0_44]),c_0_78])]),c_0_79]),c_0_80]) ).
cnf(c_0_82,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_35]),c_0_44])]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_34]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT304+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
% 0.13/0.34 % Computer : n018.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 07:59:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.87/0.94 % Version : CSE_E---1.5
% 0.87/0.94 % Problem : theBenchmark.p
% 0.87/0.94 % Proof found
% 0.87/0.94 % SZS status Theorem for theBenchmark.p
% 0.87/0.94 % SZS output start Proof
% See solution above
% 0.87/0.95 % Total time : 0.369000 s
% 0.87/0.95 % SZS output end Proof
% 0.87/0.95 % Total time : 0.373000 s
%------------------------------------------------------------------------------