TSTP Solution File: LAT302+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT302+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 : n026.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 06:00:57 EDT 2023
% Result : Theorem 0.20s 0.89s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 90
% Syntax : Number of formulae : 157 ( 7 unt; 75 typ; 0 def)
% Number of atoms : 383 ( 8 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 471 ( 170 ~; 180 |; 84 &)
% ( 6 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 57 >; 23 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 18 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn; 50 !; 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,
v13_lattices: $i > $o ).
tff(decl_26,type,
u1_struct_0: $i > $i ).
tff(decl_27,type,
k5_lattices: $i > $i ).
tff(decl_28,type,
k6_domain_1: ( $i * $i ) > $i ).
tff(decl_29,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_30,type,
v3_lattices: $i > $o ).
tff(decl_31,type,
u2_lattices: $i > $i ).
tff(decl_32,type,
u1_lattices: $i > $i ).
tff(decl_33,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
v1_xboole_0: $i > $o ).
tff(decl_36,type,
v1_funct_1: $i > $o ).
tff(decl_37,type,
v4_lattices: $i > $o ).
tff(decl_38,type,
v5_lattices: $i > $o ).
tff(decl_39,type,
v6_lattices: $i > $o ).
tff(decl_40,type,
v7_lattices: $i > $o ).
tff(decl_41,type,
v8_lattices: $i > $o ).
tff(decl_42,type,
v9_lattices: $i > $o ).
tff(decl_43,type,
v1_realset1: $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,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_47,type,
v1_relat_1: $i > $o ).
tff(decl_48,type,
v2_funct_1: $i > $o ).
tff(decl_49,type,
v14_lattices: $i > $o ).
tff(decl_50,type,
v15_lattices: $i > $o ).
tff(decl_51,type,
k1_lattice2: $i > $i ).
tff(decl_52,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
l1_lattices: $i > $o ).
tff(decl_55,type,
l2_lattices: $i > $o ).
tff(decl_56,type,
k6_lattices: $i > $i ).
tff(decl_57,type,
l1_struct_0: $i > $o ).
tff(decl_58,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_59,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(decl_60,type,
m2_lattice4: ( $i * $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,
k1_tarski: $i > $i ).
tff(decl_66,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_67,type,
v1_finset_1: $i > $o ).
tff(decl_68,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_69,type,
esk1_0: $i ).
tff(decl_70,type,
esk2_0: $i ).
tff(decl_71,type,
esk3_0: $i ).
tff(decl_72,type,
esk4_0: $i ).
tff(decl_73,type,
esk5_0: $i ).
tff(decl_74,type,
esk6_1: $i > $i ).
tff(decl_75,type,
esk7_1: $i > $i ).
tff(decl_76,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk9_1: $i > $i ).
tff(decl_78,type,
esk10_1: $i > $i ).
tff(decl_79,type,
esk11_1: $i > $i ).
tff(decl_80,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk13_0: $i ).
tff(decl_82,type,
esk14_0: $i ).
tff(decl_83,type,
esk15_1: $i > $i ).
tff(decl_84,type,
esk16_0: $i ).
tff(decl_85,type,
esk17_1: $i > $i ).
tff(decl_86,type,
esk18_0: $i ).
tff(decl_87,type,
esk19_0: $i ).
tff(decl_88,type,
esk20_0: $i ).
tff(decl_89,type,
esk21_1: $i > $i ).
tff(decl_90,type,
esk22_0: $i ).
tff(decl_91,type,
esk23_0: $i ).
tff(decl_92,type,
esk24_0: $i ).
tff(decl_93,type,
esk25_0: $i ).
tff(decl_94,type,
esk26_1: $i > $i ).
tff(decl_95,type,
esk27_0: $i ).
tff(decl_96,type,
esk28_0: $i ).
fof(t13_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_filter_0) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(t78_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_lattice2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
fof(t26_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).
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(dt_k6_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(dt_k5_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(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_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
inference(fof_simplification,[status(thm)],[t13_filter_0]) ).
fof(c_0_16,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_17,plain,
! [X115] :
( v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ l3_lattices(X115)
| v3_struct_0(X115)
| ~ v10_lattices(X115)
| ~ v14_lattices(X115)
| ~ l3_lattices(X115)
| m1_filter_0(k6_domain_1(u1_struct_0(X115),k6_lattices(X115)),X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_18,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_19,plain,
! [X109,X110] :
( ( ~ m1_filter_2(X110,X109)
| m1_filter_0(X110,X109)
| v3_struct_0(X109)
| ~ v10_lattices(X109)
| ~ l3_lattices(X109) )
& ( ~ m1_filter_0(X110,X109)
| m1_filter_2(X110,X109)
| v3_struct_0(X109)
| ~ v10_lattices(X109)
| ~ l3_lattices(X109) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_20,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,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_22,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]) ).
fof(c_0_23,plain,
! [X118,X119] :
( ( ~ m2_filter_2(X119,X118)
| m1_filter_2(X119,k1_lattice2(X118))
| v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ l3_lattices(X118) )
& ( ~ m1_filter_2(X119,k1_lattice2(X118))
| m2_filter_2(X119,X118)
| v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ l3_lattices(X118) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_24,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_19]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
inference(cn,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X80] :
( ( ~ v3_struct_0(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v3_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v4_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v5_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v6_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v7_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v8_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v9_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) )
& ( v10_lattices(k1_lattice2(X80))
| v3_struct_0(X80)
| ~ v10_lattices(X80)
| ~ l3_lattices(X80) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_27,plain,
! [X25] :
( ( v3_lattices(k1_lattice2(X25))
| ~ l3_lattices(X25) )
& ( l3_lattices(k1_lattice2(X25))
| ~ l3_lattices(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_28,plain,
! [X66] :
( ( ~ v3_struct_0(k1_lattice2(X66))
| v3_struct_0(X66)
| ~ l3_lattices(X66) )
& ( v3_lattices(k1_lattice2(X66))
| v3_struct_0(X66)
| ~ l3_lattices(X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t78_lattice2]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_filter_2])]) ).
fof(c_0_32,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]) ).
cnf(c_0_33,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_23]) ).
cnf(c_0_34,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_38,plain,
! [X132] :
( v3_struct_0(X132)
| ~ v10_lattices(X132)
| ~ v13_lattices(X132)
| ~ l3_lattices(X132)
| k5_lattices(X132) = k6_lattices(k1_lattice2(X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_39,plain,
! [X130] :
( ( ~ v13_lattices(X130)
| v14_lattices(k1_lattice2(X130))
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) )
& ( ~ v14_lattices(k1_lattice2(X130))
| v13_lattices(X130)
| v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_40,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& v13_lattices(esk1_0)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_41,plain,
! [X107,X108] :
( v1_xboole_0(X107)
| ~ m1_subset_1(X108,X107)
| k6_domain_1(X107,X108) = k1_tarski(X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
cnf(c_0_42,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k6_lattices(k1_lattice2(X1))),X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(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_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_lattices]) ).
cnf(c_0_46,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,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_41]) ).
cnf(c_0_48,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
fof(c_0_49,plain,
! [X29] :
( v3_struct_0(X29)
| ~ l2_lattices(X29)
| m1_subset_1(k6_lattices(X29),u1_struct_0(X29)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_50,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ m2_filter_2(k1_tarski(k5_lattices(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| m2_filter_2(k1_tarski(k5_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_54,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_56,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattices]) ).
fof(c_0_57,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]) ).
cnf(c_0_58,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ v14_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_59,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ l2_lattices(k1_lattice2(X1))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_37]) ).
cnf(c_0_60,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_61,plain,
! [X26] :
( v3_struct_0(X26)
| ~ l1_lattices(X26)
| m1_subset_1(k5_lattices(X26),u1_struct_0(X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_62,plain,
! [X67] :
( v3_struct_0(X67)
| ~ l1_struct_0(X67)
| ~ v1_xboole_0(u1_struct_0(X67)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_63,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_64,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ v14_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_68,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])])]) ).
cnf(c_0_69,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ v14_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_54]) ).
cnf(c_0_70,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_60]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_74,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_36]),c_0_52])]) ).
cnf(c_0_79,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_72]),c_0_52])]) ).
cnf(c_0_80,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_52])]),c_0_54]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_52])]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT302+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 : n026.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 05:47:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.89 % Version : CSE_E---1.5
% 0.20/0.89 % Problem : theBenchmark.p
% 0.20/0.89 % Proof found
% 0.20/0.89 % SZS status Theorem for theBenchmark.p
% 0.75/0.89 % SZS output start Proof
% See solution above
% 0.75/0.90 % Total time : 0.340000 s
% 0.75/0.90 % SZS output end Proof
% 0.75/0.90 % Total time : 0.345000 s
%------------------------------------------------------------------------------