TSTP Solution File: LAT356+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT356+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 06:01:55 EDT 2023
% Result : Theorem 0.71s 0.84s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 101
% Syntax : Number of formulae : 149 ( 10 unt; 91 typ; 0 def)
% Number of atoms : 532 ( 26 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 783 ( 309 ~; 315 |; 130 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 135 ( 79 >; 56 *; 0 +; 0 <<)
% Number of predicates : 55 ( 53 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 12 con; 0-4 aty)
% Number of variables : 69 ( 0 sgn; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_orders_2: $i > $o ).
tff(decl_23,type,
v3_orders_2: $i > $o ).
tff(decl_24,type,
v4_orders_2: $i > $o ).
tff(decl_25,type,
v1_lattice3: $i > $o ).
tff(decl_26,type,
v2_lattice3: $i > $o ).
tff(decl_27,type,
v3_lattice3: $i > $o ).
tff(decl_28,type,
l1_orders_2: $i > $o ).
tff(decl_29,type,
k7_grcat_1: $i > $i ).
tff(decl_30,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_membered: $i > $o ).
tff(decl_34,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_35,type,
v1_xcmplx_0: $i > $o ).
tff(decl_36,type,
v3_struct_0: $i > $o ).
tff(decl_37,type,
v24_waybel_0: $i > $o ).
tff(decl_38,type,
v25_waybel_0: $i > $o ).
tff(decl_39,type,
v2_membered: $i > $o ).
tff(decl_40,type,
v1_xreal_0: $i > $o ).
tff(decl_41,type,
v1_yellow_0: $i > $o ).
tff(decl_42,type,
v3_membered: $i > $o ).
tff(decl_43,type,
v1_rat_1: $i > $o ).
tff(decl_44,type,
v2_yellow_0: $i > $o ).
tff(decl_45,type,
v3_yellow_0: $i > $o ).
tff(decl_46,type,
v4_membered: $i > $o ).
tff(decl_47,type,
v1_int_1: $i > $o ).
tff(decl_48,type,
v5_membered: $i > $o ).
tff(decl_49,type,
v4_ordinal2: $i > $o ).
tff(decl_50,type,
v1_xboole_0: $i > $o ).
tff(decl_51,type,
k1_zfmisc_1: $i > $i ).
tff(decl_52,type,
v1_finset_1: $i > $o ).
tff(decl_53,type,
v1_funct_1: $i > $o ).
tff(decl_54,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_55,type,
v1_relat_1: $i > $o ).
tff(decl_56,type,
v1_setfam_1: $i > $o ).
tff(decl_57,type,
u1_struct_0: $i > $i ).
tff(decl_58,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
v6_waybel_1: ( $i * $i ) > $o ).
tff(decl_61,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
v11_quantal1: $i > $o ).
tff(decl_63,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
v4_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
v2_funct_1: $i > $o ).
tff(decl_70,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
v7_waybel_1: ( $i * $i ) > $o ).
tff(decl_74,type,
v8_waybel_1: ( $i * $i ) > $o ).
tff(decl_75,type,
v23_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_77,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
k1_waybel_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
v3_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_81,type,
k1_tarski: $i > $i ).
tff(decl_82,type,
m1_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_83,type,
l1_struct_0: $i > $o ).
tff(decl_84,type,
k1_xboole_0: $i ).
tff(decl_85,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_86,type,
esk1_0: $i ).
tff(decl_87,type,
esk2_0: $i ).
tff(decl_88,type,
esk3_0: $i ).
tff(decl_89,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk5_1: $i > $i ).
tff(decl_91,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk8_0: $i ).
tff(decl_94,type,
esk9_0: $i ).
tff(decl_95,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk11_0: $i ).
tff(decl_97,type,
esk12_0: $i ).
tff(decl_98,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk15_1: $i > $i ).
tff(decl_101,type,
esk16_0: $i ).
tff(decl_102,type,
esk17_1: $i > $i ).
tff(decl_103,type,
esk18_1: $i > $i ).
tff(decl_104,type,
esk19_0: $i ).
tff(decl_105,type,
esk20_1: $i > $i ).
tff(decl_106,type,
esk21_0: $i ).
tff(decl_107,type,
esk22_0: $i ).
tff(decl_108,type,
esk23_1: $i > $i ).
tff(decl_109,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk25_1: $i > $i ).
tff(decl_111,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk27_1: $i > $i ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(dt_k7_grcat_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(t6_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel34) ).
fof(cc1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(fc4_waybel10,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(t7_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel34) ).
fof(fc2_waybel_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v23_waybel_0(k7_grcat_1(X1),X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(c_0_10,plain,
! [X89,X90,X91,X92] :
( ( X92 != k2_waybel34(X89,X90,X91)
| v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v3_lattice3(X89)
| ~ v3_lattice3(X90)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v1_funct_1(X91)
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v4_orders_2(X89)
| ~ v1_lattice3(X89)
| ~ v2_lattice3(X89)
| ~ l1_orders_2(X89) )
& ( ~ v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90)
| X92 = k2_waybel34(X89,X90,X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v3_lattice3(X89)
| ~ v3_lattice3(X90)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v1_funct_1(X91)
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v4_orders_2(X89)
| ~ v1_lattice3(X89)
| ~ v2_lattice3(X89)
| ~ l1_orders_2(X89) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(c_0_11,plain,
! [X85,X86,X87,X88] :
( ( X88 != k1_waybel34(X85,X86,X87)
| v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),X85,X86)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v4_orders_2(X85)
| ~ v1_lattice3(X85)
| ~ v2_lattice3(X85)
| ~ l1_orders_2(X85) )
& ( ~ v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),X85,X86)
| X88 = k1_waybel34(X85,X86,X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v4_orders_2(X85)
| ~ v1_lattice3(X85)
| ~ v2_lattice3(X85)
| ~ l1_orders_2(X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
cnf(c_0_12,plain,
( X3 = k2_waybel34(X1,X2,X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3)
| X1 != k1_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X105] :
( ( v1_funct_1(k7_grcat_1(X105))
| ~ l1_struct_0(X105) )
& ( v1_funct_2(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105))
| ~ l1_struct_0(X105) )
& ( m2_relset_1(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105))
| ~ l1_struct_0(X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
fof(c_0_15,plain,
! [X106] :
( ~ l1_orders_2(X106)
| l1_struct_0(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
inference(fof_simplification,[status(thm)],[t6_waybel34]) ).
fof(c_0_17,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel10]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
inference(assume_negation,[status(cth)],[t7_waybel34]) ).
cnf(c_0_20,plain,
( X1 = k2_waybel34(X2,X3,X4)
| X4 != k1_waybel34(X2,X3,X1)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X4,X3,X2)
| ~ v17_waybel_0(X1,X2,X3)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,plain,
! [X217] :
( v3_struct_0(X217)
| ~ l1_orders_2(X217)
| v3_waybel_1(k1_waybel_1(X217,X217,k7_grcat_1(X217),k7_grcat_1(X217)),X217,X217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_26,plain,
! [X52] :
( ( ~ v3_struct_0(X52)
| v3_struct_0(X52)
| ~ v3_lattice3(X52)
| ~ l1_orders_2(X52) )
& ( v1_lattice3(X52)
| v3_struct_0(X52)
| ~ v3_lattice3(X52)
| ~ l1_orders_2(X52) )
& ( v2_lattice3(X52)
| v3_struct_0(X52)
| ~ v3_lattice3(X52)
| ~ l1_orders_2(X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_27,plain,
! [X148] :
( ( v1_relat_1(k7_grcat_1(X148))
| ~ l1_orders_2(X148) )
& ( v1_funct_1(k7_grcat_1(X148))
| ~ l1_orders_2(X148) )
& ( v1_funct_2(k7_grcat_1(X148),u1_struct_0(X148),u1_struct_0(X148))
| ~ l1_orders_2(X148) )
& ( v23_waybel_0(k7_grcat_1(X148),X148,X148)
| ~ l1_orders_2(X148) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
fof(c_0_28,plain,
! [X153] :
( ( v1_relat_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_funct_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v2_funct_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( ~ v1_xboole_0(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_funct_2(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_partfun1(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v11_quantal1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v5_orders_3(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v17_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v18_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v19_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v20_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v21_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v22_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v23_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v6_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v7_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v8_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_29,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_30,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_31,plain,
( X1 = k2_waybel34(X2,X2,k7_grcat_1(X2))
| k1_waybel34(X2,X2,X1) != k7_grcat_1(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v18_waybel_0(k7_grcat_1(X2),X2,X2)
| ~ v17_waybel_0(X1,X2,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_32,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_39,plain,
! [X59] :
( ~ l1_orders_2(X59)
| ~ v2_lattice3(X59)
| ~ v3_struct_0(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_40,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| k1_waybel34(X1,X1,k7_grcat_1(X1)) != k7_grcat_1(X1)
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_42,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_48,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_49,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_50,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| ~ v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0)
| ~ v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
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_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_52,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_21]),c_0_24]) ).
cnf(c_0_53,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_42])]) ).
cnf(c_0_54,negated_conjecture,
( ~ v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0)
| ~ v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42]),c_0_43]),c_0_46]),c_0_47]),c_0_48])]),c_0_53]) ).
cnf(c_0_55,plain,
( v18_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_56,negated_conjecture,
~ v17_waybel_0(k7_grcat_1(esk1_0),esk1_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_54,c_0_55]),c_0_42]),c_0_48])]),c_0_53]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_42]),c_0_48])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT356+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 09:42:17 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.71/0.84 % Version : CSE_E---1.5
% 0.71/0.84 % Problem : theBenchmark.p
% 0.71/0.84 % Proof found
% 0.71/0.84 % SZS status Theorem for theBenchmark.p
% 0.71/0.84 % SZS output start Proof
% See solution above
% 0.71/0.85 % Total time : 0.249000 s
% 0.71/0.85 % SZS output end Proof
% 0.71/0.85 % Total time : 0.254000 s
%------------------------------------------------------------------------------