TSTP Solution File: LAT352+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT352+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 : n032.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 06:01:52 EDT 2023
% Result : Theorem 5.57s 5.93s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 108
% Syntax : Number of formulae : 176 ( 25 unt; 96 typ; 0 def)
% Number of atoms : 688 ( 18 equ)
% Maximal formula atoms : 75 ( 8 avg)
% Number of connectives : 1022 ( 414 ~; 412 |; 145 &)
% ( 6 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 148 ( 81 >; 67 *; 0 +; 0 <<)
% Number of predicates : 53 ( 51 usr; 1 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 15 con; 0-4 aty)
% Number of variables : 138 ( 0 sgn; 78 !; 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,
v1_funct_1: $i > $o ).
tff(decl_30,type,
u1_struct_0: $i > $i ).
tff(decl_31,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_35,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
k7_yellow_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
k7_waybel_0: ( $i * $i ) > $i ).
tff(decl_38,type,
k5_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
k2_yellow_0: ( $i * $i ) > $i ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
v1_membered: $i > $o ).
tff(decl_42,type,
v1_xcmplx_0: $i > $o ).
tff(decl_43,type,
v3_struct_0: $i > $o ).
tff(decl_44,type,
v24_waybel_0: $i > $o ).
tff(decl_45,type,
v25_waybel_0: $i > $o ).
tff(decl_46,type,
v2_membered: $i > $o ).
tff(decl_47,type,
v1_xreal_0: $i > $o ).
tff(decl_48,type,
v1_yellow_0: $i > $o ).
tff(decl_49,type,
v3_membered: $i > $o ).
tff(decl_50,type,
v1_rat_1: $i > $o ).
tff(decl_51,type,
v2_yellow_0: $i > $o ).
tff(decl_52,type,
v3_yellow_0: $i > $o ).
tff(decl_53,type,
v4_membered: $i > $o ).
tff(decl_54,type,
v1_int_1: $i > $o ).
tff(decl_55,type,
v5_membered: $i > $o ).
tff(decl_56,type,
v4_ordinal2: $i > $o ).
tff(decl_57,type,
v1_xboole_0: $i > $o ).
tff(decl_58,type,
k1_zfmisc_1: $i > $i ).
tff(decl_59,type,
v1_finset_1: $i > $o ).
tff(decl_60,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_61,type,
v1_relat_1: $i > $o ).
tff(decl_62,type,
v1_setfam_1: $i > $o ).
tff(decl_63,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
v2_funct_1: $i > $o ).
tff(decl_69,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_74,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_75,type,
k5_waybel_0: ( $i * $i ) > $i ).
tff(decl_76,type,
k1_waybel_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
v3_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_79,type,
k1_tarski: $i > $i ).
tff(decl_80,type,
r3_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
r2_yellow_0: ( $i * $i ) > $o ).
tff(decl_82,type,
l1_struct_0: $i > $o ).
tff(decl_83,type,
m1_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff(decl_85,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(decl_86,type,
k1_xboole_0: $i ).
tff(decl_87,type,
k10_relat_1: ( $i * $i ) > $i ).
tff(decl_88,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_89,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_90,type,
esk1_0: $i ).
tff(decl_91,type,
esk2_0: $i ).
tff(decl_92,type,
esk3_0: $i ).
tff(decl_93,type,
esk4_0: $i ).
tff(decl_94,type,
esk5_0: $i ).
tff(decl_95,type,
esk6_0: $i ).
tff(decl_96,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk8_1: $i > $i ).
tff(decl_98,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk11_1: $i > $i ).
tff(decl_101,type,
esk12_0: $i ).
tff(decl_102,type,
esk13_0: $i ).
tff(decl_103,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk15_0: $i ).
tff(decl_105,type,
esk16_0: $i ).
tff(decl_106,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk19_0: $i ).
tff(decl_109,type,
esk20_0: $i ).
tff(decl_110,type,
esk21_1: $i > $i ).
tff(decl_111,type,
esk22_0: $i ).
tff(decl_112,type,
esk23_0: $i ).
tff(decl_113,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk25_1: $i > $i ).
tff(decl_115,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk27_1: $i > $i ).
tff(decl_117,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
fof(d6_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_waybel_1(X1,X2,X3)
<=> ( r2_yellow_0(X1,X3)
& X2 = k2_yellow_0(X1,X3)
& r2_hidden(k2_yellow_0(X1,X3),X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_waybel_1) ).
fof(t11_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(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)) )
=> ! [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)) )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> ( v5_orders_3(X3,X1,X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> r3_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X4,X5),k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_k7_yellow_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,u1_struct_0(X2))
& m1_relset_1(X3,X1,u1_struct_0(X2))
& m1_subset_1(X4,X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_yellow_2) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
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(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/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
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/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(t2_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) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4) = k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_k1_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_waybel_1(X1,X2,X3)
<=> ( r2_yellow_0(X1,X3)
& X2 = k2_yellow_0(X1,X3)
& r2_hidden(k2_yellow_0(X1,X3),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d6_waybel_1]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(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)) )
=> ! [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)) )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> ( v5_orders_3(X3,X1,X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> r3_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X4,X5),k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X5))) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_waybel_1]) ).
fof(c_0_14,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]) ).
fof(c_0_15,plain,
! [X85,X86,X87] :
( ( r2_yellow_0(X85,X87)
| ~ r3_waybel_1(X85,X86,X87)
| ~ m1_subset_1(X86,u1_struct_0(X85))
| v3_struct_0(X85)
| ~ l1_orders_2(X85) )
& ( X86 = k2_yellow_0(X85,X87)
| ~ r3_waybel_1(X85,X86,X87)
| ~ m1_subset_1(X86,u1_struct_0(X85))
| v3_struct_0(X85)
| ~ l1_orders_2(X85) )
& ( r2_hidden(k2_yellow_0(X85,X87),X87)
| ~ r3_waybel_1(X85,X86,X87)
| ~ m1_subset_1(X86,u1_struct_0(X85))
| v3_struct_0(X85)
| ~ l1_orders_2(X85) )
& ( ~ r2_yellow_0(X85,X87)
| X86 != k2_yellow_0(X85,X87)
| ~ r2_hidden(k2_yellow_0(X85,X87),X87)
| r3_waybel_1(X85,X86,X87)
| ~ m1_subset_1(X86,u1_struct_0(X85))
| v3_struct_0(X85)
| ~ l1_orders_2(X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_16,plain,
! [X214,X215,X216,X217,X218] :
( ( v5_orders_3(X216,X214,X215)
| ~ v3_waybel_1(k1_waybel_1(X214,X215,X216,X217),X214,X215)
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ m2_relset_1(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ v2_orders_2(X215)
| ~ v3_orders_2(X215)
| ~ v4_orders_2(X215)
| ~ l1_orders_2(X215)
| v3_struct_0(X214)
| ~ v2_orders_2(X214)
| ~ v3_orders_2(X214)
| ~ v4_orders_2(X214)
| ~ l1_orders_2(X214) )
& ( ~ m1_subset_1(X218,u1_struct_0(X215))
| r3_waybel_1(X214,k7_yellow_2(u1_struct_0(X215),X214,X217,X218),k5_pre_topc(X214,X215,X216,k7_waybel_0(X215,X218)))
| ~ v3_waybel_1(k1_waybel_1(X214,X215,X216,X217),X214,X215)
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ m2_relset_1(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ v2_orders_2(X215)
| ~ v3_orders_2(X215)
| ~ v4_orders_2(X215)
| ~ l1_orders_2(X215)
| v3_struct_0(X214)
| ~ v2_orders_2(X214)
| ~ v3_orders_2(X214)
| ~ v4_orders_2(X214)
| ~ l1_orders_2(X214) )
& ( m1_subset_1(esk28_4(X214,X215,X216,X217),u1_struct_0(X215))
| ~ v5_orders_3(X216,X214,X215)
| v3_waybel_1(k1_waybel_1(X214,X215,X216,X217),X214,X215)
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ m2_relset_1(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ v2_orders_2(X215)
| ~ v3_orders_2(X215)
| ~ v4_orders_2(X215)
| ~ l1_orders_2(X215)
| v3_struct_0(X214)
| ~ v2_orders_2(X214)
| ~ v3_orders_2(X214)
| ~ v4_orders_2(X214)
| ~ l1_orders_2(X214) )
& ( ~ r3_waybel_1(X214,k7_yellow_2(u1_struct_0(X215),X214,X217,esk28_4(X214,X215,X216,X217)),k5_pre_topc(X214,X215,X216,k7_waybel_0(X215,esk28_4(X214,X215,X216,X217))))
| ~ v5_orders_3(X216,X214,X215)
| v3_waybel_1(k1_waybel_1(X214,X215,X216,X217),X214,X215)
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ m2_relset_1(X217,u1_struct_0(X215),u1_struct_0(X214))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ v2_orders_2(X215)
| ~ v3_orders_2(X215)
| ~ v4_orders_2(X215)
| ~ l1_orders_2(X215)
| v3_struct_0(X214)
| ~ v2_orders_2(X214)
| ~ v3_orders_2(X214)
| ~ v4_orders_2(X214)
| ~ l1_orders_2(X214) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_17,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,u1_struct_0(X2))
& m1_relset_1(X3,X1,u1_struct_0(X2))
& m1_subset_1(X4,X1) )
=> m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2)) ),
inference(fof_simplification,[status(thm)],[dt_k7_yellow_2]) ).
fof(c_0_18,plain,
! [X151] :
( v3_struct_0(X151)
| ~ l1_struct_0(X151)
| ~ v1_xboole_0(u1_struct_0(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_19,plain,
! [X111] :
( ~ l1_orders_2(X111)
| l1_struct_0(X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_20,plain,
( X1 = k2_yellow_0(X2,X3)
| v3_struct_0(X2)
| ~ r3_waybel_1(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( r3_waybel_1(X3,k7_yellow_2(u1_struct_0(X2),X3,X4,X1),k5_pre_topc(X3,X2,X5,k7_waybel_0(X2,X1)))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v3_waybel_1(k1_waybel_1(X3,X2,X5,X4),X3,X2)
| ~ 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))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X107,X108,X109,X110] :
( v1_xboole_0(X107)
| v3_struct_0(X108)
| ~ l1_struct_0(X108)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,X107,u1_struct_0(X108))
| ~ m1_relset_1(X109,X107,u1_struct_0(X108))
| ~ m1_subset_1(X110,X107)
| m1_subset_1(k7_yellow_2(X107,X108,X109,X110),u1_struct_0(X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_23,plain,
! [X210,X211,X212] :
( ( ~ m2_relset_1(X212,X210,X211)
| m1_relset_1(X212,X210,X211) )
& ( ~ m1_relset_1(X212,X210,X211)
| m2_relset_1(X212,X210,X211) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,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]) ).
cnf(c_0_27,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X5,X3),X2,X1)
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(X1),X2,X3,X4),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k7_yellow_2(X1,X2,X3,X4),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,X1,u1_struct_0(X2))
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,plain,
! [X79,X80,X81,X82] :
( ( X82 != k1_waybel34(X79,X80,X81)
| v3_waybel_1(k1_waybel_1(X79,X80,X81,X82),X79,X80)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X80),u1_struct_0(X79))
| ~ m2_relset_1(X82,u1_struct_0(X80),u1_struct_0(X79))
| ~ v3_lattice3(X79)
| ~ v3_lattice3(X80)
| ~ v17_waybel_0(X81,X79,X80)
| ~ v1_funct_1(X81)
| ~ v1_funct_2(X81,u1_struct_0(X79),u1_struct_0(X80))
| ~ m2_relset_1(X81,u1_struct_0(X79),u1_struct_0(X80))
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80)
| ~ v2_orders_2(X79)
| ~ v3_orders_2(X79)
| ~ v4_orders_2(X79)
| ~ v1_lattice3(X79)
| ~ v2_lattice3(X79)
| ~ l1_orders_2(X79) )
& ( ~ v3_waybel_1(k1_waybel_1(X79,X80,X81,X82),X79,X80)
| X82 = k1_waybel34(X79,X80,X81)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X80),u1_struct_0(X79))
| ~ m2_relset_1(X82,u1_struct_0(X80),u1_struct_0(X79))
| ~ v3_lattice3(X79)
| ~ v3_lattice3(X80)
| ~ v17_waybel_0(X81,X79,X80)
| ~ v1_funct_1(X81)
| ~ v1_funct_2(X81,u1_struct_0(X79),u1_struct_0(X80))
| ~ m2_relset_1(X81,u1_struct_0(X79),u1_struct_0(X80))
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80)
| ~ v2_orders_2(X79)
| ~ v3_orders_2(X79)
| ~ v4_orders_2(X79)
| ~ v1_lattice3(X79)
| ~ v2_lattice3(X79)
| ~ l1_orders_2(X79) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
fof(c_0_32,plain,
! [X51] :
( ( ~ v3_struct_0(X51)
| v3_struct_0(X51)
| ~ v3_lattice3(X51)
| ~ l1_orders_2(X51) )
& ( v1_lattice3(X51)
| v3_struct_0(X51)
| ~ v3_lattice3(X51)
| ~ l1_orders_2(X51) )
& ( v2_lattice3(X51)
| v3_struct_0(X51)
| ~ v3_lattice3(X51)
| ~ l1_orders_2(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_33,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_34,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) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4) = k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) ) ) ) ),
inference(assume_negation,[status(cth)],[t2_waybel34]) ).
fof(c_0_35,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
cnf(c_0_36,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X5,X3),X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_25]),c_0_30]) ).
cnf(c_0_37,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_31]) ).
cnf(c_0_38,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_40,plain,
! [X58] :
( ~ l1_orders_2(X58)
| ~ v2_lattice3(X58)
| ~ v3_struct_0(X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_41,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)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v3_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v17_waybel_0(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& k7_yellow_2(u1_struct_0(esk2_0),esk1_0,k1_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k2_yellow_0(esk1_0,k5_pre_topc(esk1_0,esk2_0,esk3_0,k7_waybel_0(esk2_0,esk4_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_42,plain,
! [X38] :
( ~ l1_orders_2(X38)
| ~ v1_lattice3(X38)
| ~ v3_struct_0(X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
cnf(c_0_43,plain,
( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k2_yellow_0(X2,k5_pre_topc(X2,X1,X5,k7_waybel_0(X1,X4)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_waybel34(X2,X1,X5)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v17_waybel_0(X5,X2,X1)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ 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_36,c_0_37]),c_0_38]),c_0_38]),c_0_39]),c_0_39]),c_0_29]) ).
cnf(c_0_44,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_50,plain,
! [X90,X91,X92] :
( ( v1_funct_1(k1_waybel34(X90,X91,X92))
| ~ 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(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X90),u1_struct_0(X91))
| ~ m1_relset_1(X92,u1_struct_0(X90),u1_struct_0(X91)) )
& ( v1_funct_2(k1_waybel34(X90,X91,X92),u1_struct_0(X91),u1_struct_0(X90))
| ~ 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(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X90),u1_struct_0(X91))
| ~ m1_relset_1(X92,u1_struct_0(X90),u1_struct_0(X91)) )
& ( m2_relset_1(k1_waybel34(X90,X91,X92),u1_struct_0(X91),u1_struct_0(X90))
| ~ 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(X91)
| ~ v3_orders_2(X91)
| ~ v4_orders_2(X91)
| ~ v1_lattice3(X91)
| ~ v2_lattice3(X91)
| ~ l1_orders_2(X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X90),u1_struct_0(X91))
| ~ m1_relset_1(X92,u1_struct_0(X90),u1_struct_0(X91)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel34])])]) ).
cnf(c_0_51,negated_conjecture,
k7_yellow_2(u1_struct_0(esk2_0),esk1_0,k1_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k2_yellow_0(esk1_0,k5_pre_topc(esk1_0,esk2_0,esk3_0,k7_waybel_0(esk2_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
( k2_yellow_0(X1,k5_pre_topc(X1,X2,X3,k7_waybel_0(X2,X4))) = k7_yellow_2(u1_struct_0(X2),X1,k1_waybel34(X1,X2,X3),X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,negated_conjecture,
v17_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_58,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_59,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_62,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_63,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_65,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_67,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_68,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_69,plain,
( m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_70,negated_conjecture,
( ~ m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_0)) ),
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(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(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_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_46]),c_0_49]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65])]),c_0_66]),c_0_67]) ).
cnf(c_0_71,plain,
( m1_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_68,c_0_54]) ).
cnf(c_0_73,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_74,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_75,negated_conjecture,
( ~ v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_56]),c_0_57]),c_0_49]),c_0_46]),c_0_73]),c_0_45]),c_0_48]),c_0_74]),c_0_61]),c_0_60]),c_0_63]),c_0_62]),c_0_65]),c_0_64])]) ).
cnf(c_0_76,plain,
( v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,negated_conjecture,
~ v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk3_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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_72]),c_0_56]),c_0_57]),c_0_49]),c_0_46]),c_0_73]),c_0_45]),c_0_48]),c_0_74]),c_0_61]),c_0_60]),c_0_63]),c_0_62]),c_0_65]),c_0_64])]) ).
cnf(c_0_78,plain,
( v1_funct_1(k1_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_79,negated_conjecture,
$false,
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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_72]),c_0_56]),c_0_57]),c_0_49]),c_0_46]),c_0_73]),c_0_45]),c_0_48]),c_0_74]),c_0_61]),c_0_60]),c_0_63]),c_0_62]),c_0_65]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.33 % Computer : n032.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Thu Aug 24 10:08:41 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 5.57/5.93 % Version : CSE_E---1.5
% 5.57/5.93 % Problem : theBenchmark.p
% 5.57/5.93 % Proof found
% 5.57/5.93 % SZS status Theorem for theBenchmark.p
% 5.57/5.93 % SZS output start Proof
% See solution above
% 5.73/5.95 % Total time : 5.336000 s
% 5.73/5.95 % SZS output end Proof
% 5.73/5.95 % Total time : 5.342000 s
%------------------------------------------------------------------------------