TSTP Solution File: LAT292+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT292+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 : n023.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 06:00:43 EDT 2023
% Result : Theorem 0.53s 0.72s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 103
% Syntax : Number of formulae : 126 ( 6 unt; 98 typ; 0 def)
% Number of atoms : 177 ( 4 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 229 ( 80 ~; 76 |; 63 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 78 >; 24 *; 0 +; 0 <<)
% Number of predicates : 53 ( 51 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 20 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn; 15 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
v17_lattices: $i > $o ).
tff(decl_25,type,
v3_realset2: $i > $o ).
tff(decl_26,type,
l3_lattices: $i > $o ).
tff(decl_27,type,
v2_pre_topc: $i > $o ).
tff(decl_28,type,
l1_pre_topc: $i > $o ).
tff(decl_29,type,
k6_lopclset: $i > $i ).
tff(decl_30,type,
r1_filter_1: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_pre_topc: $i > $o ).
tff(decl_32,type,
u1_struct_0: $i > $i ).
tff(decl_33,type,
u1_pre_topc: $i > $i ).
tff(decl_34,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(decl_35,type,
v3_lattices: $i > $o ).
tff(decl_36,type,
u2_lattices: $i > $i ).
tff(decl_37,type,
u1_lattices: $i > $i ).
tff(decl_38,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_40,type,
v1_membered: $i > $o ).
tff(decl_41,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_42,type,
v1_xcmplx_0: $i > $o ).
tff(decl_43,type,
v2_membered: $i > $o ).
tff(decl_44,type,
v1_xreal_0: $i > $o ).
tff(decl_45,type,
v3_membered: $i > $o ).
tff(decl_46,type,
v1_rat_1: $i > $o ).
tff(decl_47,type,
v4_membered: $i > $o ).
tff(decl_48,type,
v1_int_1: $i > $o ).
tff(decl_49,type,
v5_membered: $i > $o ).
tff(decl_50,type,
v4_ordinal2: $i > $o ).
tff(decl_51,type,
v1_xboole_0: $i > $o ).
tff(decl_52,type,
k1_zfmisc_1: $i > $i ).
tff(decl_53,type,
v1_finset_1: $i > $o ).
tff(decl_54,type,
v4_finsub_1: $i > $o ).
tff(decl_55,type,
v1_finsub_1: $i > $o ).
tff(decl_56,type,
v3_finsub_1: $i > $o ).
tff(decl_57,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
v1_funct_1: $i > $o ).
tff(decl_59,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_61,type,
v4_lattices: $i > $o ).
tff(decl_62,type,
v5_lattices: $i > $o ).
tff(decl_63,type,
v6_lattices: $i > $o ).
tff(decl_64,type,
v7_lattices: $i > $o ).
tff(decl_65,type,
v8_lattices: $i > $o ).
tff(decl_66,type,
v9_lattices: $i > $o ).
tff(decl_67,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_68,type,
v1_relat_1: $i > $o ).
tff(decl_69,type,
v13_lattices: $i > $o ).
tff(decl_70,type,
v14_lattices: $i > $o ).
tff(decl_71,type,
v15_lattices: $i > $o ).
tff(decl_72,type,
v11_lattices: $i > $o ).
tff(decl_73,type,
v16_lattices: $i > $o ).
tff(decl_74,type,
v12_lattices: $i > $o ).
tff(decl_75,type,
k1_lopclset: $i > $i ).
tff(decl_76,type,
a_1_0_lopclset: $i > $i ).
tff(decl_77,type,
k4_lopclset: $i > $i ).
tff(decl_78,type,
k5_lopclset: $i > $i ).
tff(decl_79,type,
k12_lopclset: $i > $i ).
tff(decl_80,type,
k11_lopclset: $i > $i ).
tff(decl_81,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
l1_lattices: $i > $o ).
tff(decl_83,type,
l1_struct_0: $i > $o ).
tff(decl_84,type,
l2_lattices: $i > $o ).
tff(decl_85,type,
k1_xboole_0: $i ).
tff(decl_86,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_87,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_88,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_89,type,
esk1_0: $i ).
tff(decl_90,type,
esk2_0: $i ).
tff(decl_91,type,
esk3_0: $i ).
tff(decl_92,type,
esk4_0: $i ).
tff(decl_93,type,
esk5_0: $i ).
tff(decl_94,type,
esk6_0: $i ).
tff(decl_95,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk8_1: $i > $i ).
tff(decl_97,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk11_0: $i ).
tff(decl_100,type,
esk12_0: $i ).
tff(decl_101,type,
esk13_0: $i ).
tff(decl_102,type,
esk14_0: $i ).
tff(decl_103,type,
esk15_0: $i ).
tff(decl_104,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk17_0: $i ).
tff(decl_106,type,
esk18_0: $i ).
tff(decl_107,type,
esk19_0: $i ).
tff(decl_108,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk21_0: $i ).
tff(decl_110,type,
esk22_1: $i > $i ).
tff(decl_111,type,
esk23_0: $i ).
tff(decl_112,type,
esk24_0: $i ).
tff(decl_113,type,
esk25_1: $i > $i ).
tff(decl_114,type,
esk26_1: $i > $i ).
tff(decl_115,type,
esk27_0: $i ).
tff(decl_116,type,
esk28_1: $i > $i ).
tff(decl_117,type,
esk29_1: $i > $i ).
tff(decl_118,type,
esk30_0: $i ).
tff(decl_119,type,
esk31_2: ( $i * $i ) > $i ).
fof(t44_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).
fof(d9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).
fof(dt_k11_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(fc4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(t43_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ? [X2] :
( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(X2)
& r1_filter_1(X1,k6_lopclset(X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t44_lopclset])]) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[d9_lopclset]) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1))
& l1_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_lopclset]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k11_lopclset(X1))
& v1_pre_topc(k11_lopclset(X1))
& v2_pre_topc(k11_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lopclset]) ).
fof(c_0_9,negated_conjecture,
! [X8] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(X8)
| ~ v2_pre_topc(X8)
| ~ l1_pre_topc(X8)
| ~ r1_filter_1(esk1_0,k6_lopclset(X8)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_10,plain,
! [X64] :
( v3_struct_0(X64)
| ~ v10_lattices(X64)
| ~ v17_lattices(X64)
| v3_realset2(X64)
| ~ l3_lattices(X64)
| k12_lopclset(X64) = k6_lopclset(k11_lopclset(X64)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_11,plain,
! [X70] :
( ( v1_pre_topc(k11_lopclset(X70))
| v3_struct_0(X70)
| ~ v10_lattices(X70)
| ~ v17_lattices(X70)
| v3_realset2(X70)
| ~ l3_lattices(X70) )
& ( v2_pre_topc(k11_lopclset(X70))
| v3_struct_0(X70)
| ~ v10_lattices(X70)
| ~ v17_lattices(X70)
| v3_realset2(X70)
| ~ l3_lattices(X70) )
& ( l1_pre_topc(k11_lopclset(X70))
| v3_struct_0(X70)
| ~ v10_lattices(X70)
| ~ v17_lattices(X70)
| v3_realset2(X70)
| ~ l3_lattices(X70) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,plain,
! [X107] :
( ( ~ v3_struct_0(k11_lopclset(X107))
| v3_struct_0(X107)
| ~ v10_lattices(X107)
| ~ v17_lattices(X107)
| v3_realset2(X107)
| ~ l3_lattices(X107) )
& ( v1_pre_topc(k11_lopclset(X107))
| v3_struct_0(X107)
| ~ v10_lattices(X107)
| ~ v17_lattices(X107)
| v3_realset2(X107)
| ~ l3_lattices(X107) )
& ( v2_pre_topc(k11_lopclset(X107))
| v3_struct_0(X107)
| ~ v10_lattices(X107)
| ~ v17_lattices(X107)
| v3_realset2(X107)
| ~ l3_lattices(X107) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> r1_filter_1(X1,k12_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t43_lopclset]) ).
cnf(c_0_14,negated_conjecture,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ r1_filter_1(esk1_0,k6_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k12_lopclset(X1) = k6_lopclset(k11_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( v2_pre_topc(k11_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( l1_pre_topc(k11_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| ~ v3_struct_0(k11_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X168] :
( v3_struct_0(X168)
| ~ v10_lattices(X168)
| ~ v17_lattices(X168)
| v3_realset2(X168)
| ~ l3_lattices(X168)
| r1_filter_1(X168,k12_lopclset(X168)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(esk1_0,k12_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r1_filter_1(X1,k12_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 07:40:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.52/0.58 start to proof: theBenchmark
% 0.53/0.72 % Version : CSE_E---1.5
% 0.53/0.72 % Problem : theBenchmark.p
% 0.53/0.72 % Proof found
% 0.53/0.72 % SZS status Theorem for theBenchmark.p
% 0.53/0.72 % SZS output start Proof
% See solution above
% 0.53/0.72 % Total time : 0.132000 s
% 0.53/0.72 % SZS output end Proof
% 0.53/0.72 % Total time : 0.137000 s
%------------------------------------------------------------------------------