TSTP Solution File: LAT351+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT351+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 : n014.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 06:01:51 EDT 2023
% Result : Theorem 138.91s 138.91s
% Output : CNFRefutation 138.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 100
% Syntax : Number of formulae : 156 ( 25 unt; 90 typ; 0 def)
% Number of atoms : 640 ( 19 equ)
% Maximal formula atoms : 112 ( 9 avg)
% Number of connectives : 941 ( 367 ~; 365 |; 194 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 69 >; 22 *; 0 +; 0 <<)
% Number of predicates : 44 ( 42 usr; 1 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 21 con; 0-2 aty)
% Number of variables : 82 ( 7 sgn; 34 !; 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,
v3_waybel_3: $i > $o ).
tff(decl_29,type,
l1_orders_2: $i > $o ).
tff(decl_30,type,
r1_waybel22: ( $i * $i ) > $o ).
tff(decl_31,type,
k1_card_1: $i > $i ).
tff(decl_32,type,
k3_yellow_1: $i > $i ).
tff(decl_33,type,
k9_waybel_0: $i > $i ).
tff(decl_34,type,
k2_yellow_1: $i > $i ).
tff(decl_35,type,
r5_waybel_1: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_orders_2: $i > $o ).
tff(decl_37,type,
u1_struct_0: $i > $i ).
tff(decl_38,type,
u1_orders_2: $i > $i ).
tff(decl_39,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
v3_struct_0: $i > $o ).
tff(decl_42,type,
v24_waybel_0: $i > $o ).
tff(decl_43,type,
v25_waybel_0: $i > $o ).
tff(decl_44,type,
v1_yellow_0: $i > $o ).
tff(decl_45,type,
v2_yellow_0: $i > $o ).
tff(decl_46,type,
v3_yellow_0: $i > $o ).
tff(decl_47,type,
v1_xboole_0: $i > $o ).
tff(decl_48,type,
v1_funct_1: $i > $o ).
tff(decl_49,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_50,type,
k1_zfmisc_1: $i > $i ).
tff(decl_51,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_52,type,
v1_relat_1: $i > $o ).
tff(decl_53,type,
v1_setfam_1: $i > $o ).
tff(decl_54,type,
v2_waybel_8: $i > $o ).
tff(decl_55,type,
v2_waybel_3: $i > $o ).
tff(decl_56,type,
v1_waybel_5: $i > $o ).
tff(decl_57,type,
v2_funct_1: $i > $o ).
tff(decl_58,type,
v3_realset2: $i > $o ).
tff(decl_59,type,
v1_waybel_8: $i > $o ).
tff(decl_60,type,
v3_waybel_8: $i > $o ).
tff(decl_61,type,
v9_waybel_1: $i > $o ).
tff(decl_62,type,
v16_waybel_0: $i > $o ).
tff(decl_63,type,
k7_waybel_0: ( $i * $i ) > $i ).
tff(decl_64,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_65,type,
k5_waybel_0: ( $i * $i ) > $i ).
tff(decl_66,type,
a_1_1_waybel_0: $i > $i ).
tff(decl_67,type,
k1_waybel22: $i > $i ).
tff(decl_68,type,
a_1_0_waybel22: $i > $i ).
tff(decl_69,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
v1_card_1: $i > $o ).
tff(decl_71,type,
l1_struct_0: $i > $o ).
tff(decl_72,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff(decl_74,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(decl_75,type,
v2_waybel_1: $i > $o ).
tff(decl_76,type,
v10_waybel_1: $i > $o ).
tff(decl_77,type,
v11_waybel_1: $i > $o ).
tff(decl_78,type,
k1_xboole_0: $i ).
tff(decl_79,type,
k1_tarski: $i > $i ).
tff(decl_80,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_81,type,
esk1_0: $i ).
tff(decl_82,type,
esk2_0: $i ).
tff(decl_83,type,
esk3_0: $i ).
tff(decl_84,type,
esk4_0: $i ).
tff(decl_85,type,
esk5_0: $i ).
tff(decl_86,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk7_1: $i > $i ).
tff(decl_88,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk12_1: $i > $i ).
tff(decl_93,type,
esk13_0: $i ).
tff(decl_94,type,
esk14_0: $i ).
tff(decl_95,type,
esk15_0: $i ).
tff(decl_96,type,
esk16_0: $i ).
tff(decl_97,type,
esk17_0: $i ).
tff(decl_98,type,
esk18_1: $i > $i ).
tff(decl_99,type,
esk19_0: $i ).
tff(decl_100,type,
esk20_0: $i ).
tff(decl_101,type,
esk21_0: $i ).
tff(decl_102,type,
esk22_0: $i ).
tff(decl_103,type,
esk23_0: $i ).
tff(decl_104,type,
esk24_0: $i ).
tff(decl_105,type,
esk25_1: $i > $i ).
tff(decl_106,type,
esk26_0: $i ).
tff(decl_107,type,
esk27_0: $i ).
tff(decl_108,type,
esk28_0: $i ).
tff(decl_109,type,
esk29_0: $i ).
tff(decl_110,type,
esk30_1: $i > $i ).
tff(decl_111,type,
esk31_2: ( $i * $i ) > $i ).
fof(fc1_waybel22,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel22) ).
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(t17_waybel22,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(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)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3,X4] :
( ( r1_waybel22(X1,X3)
& r1_waybel22(X2,X4)
& k1_card_1(X3) = k1_card_1(X4) )
=> r5_waybel_1(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_waybel22) ).
fof(t16_waybel22,axiom,
! [X1] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_waybel22) ).
fof(t10_waybel22,axiom,
! [X1] : k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel22) ).
fof(dt_k2_yellow_1,axiom,
! [X1] :
( v1_orders_2(k2_yellow_1(X1))
& l1_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(fc14_waybel_8,axiom,
! [X1] :
( ~ v3_struct_0(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v2_waybel_8(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(dt_k3_yellow_1,axiom,
! [X1] :
( v1_orders_2(k3_yellow_1(X1))
& l1_orders_2(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(fc2_waybel16,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(t18_waybel22,conjecture,
! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel22) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc1_waybel22]) ).
fof(c_0_11,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_12,plain,
! [X153,X154,X155,X156] :
( ~ v2_orders_2(X153)
| ~ v3_orders_2(X153)
| ~ v4_orders_2(X153)
| ~ v1_lattice3(X153)
| ~ v2_lattice3(X153)
| ~ v3_lattice3(X153)
| ~ v3_waybel_3(X153)
| ~ l1_orders_2(X153)
| ~ v2_orders_2(X154)
| ~ v3_orders_2(X154)
| ~ v4_orders_2(X154)
| ~ v1_lattice3(X154)
| ~ v2_lattice3(X154)
| ~ v3_lattice3(X154)
| ~ v3_waybel_3(X154)
| ~ l1_orders_2(X154)
| ~ r1_waybel22(X153,X155)
| ~ r1_waybel22(X154,X156)
| k1_card_1(X155) != k1_card_1(X156)
| r5_waybel_1(X153,X154) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_waybel22])])]) ).
fof(c_0_13,plain,
! [X152] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X152))),k1_waybel22(X152)),
inference(variable_rename,[status(thm)],[t16_waybel22]) ).
fof(c_0_14,plain,
! [X151] : k1_card_1(k1_waybel22(X151)) = k1_card_1(X151),
inference(variable_rename,[status(thm)],[t10_waybel22]) ).
fof(c_0_15,plain,
! [X52] :
( v1_orders_2(k2_yellow_1(X52))
& l1_orders_2(k2_yellow_1(X52)) ),
inference(variable_rename,[status(thm)],[dt_k2_yellow_1]) ).
fof(c_0_16,plain,
! [X88] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v2_yellow_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v3_yellow_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v1_lattice3(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) )
& ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X88)))
| v3_struct_0(X88)
| ~ v2_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v4_orders_2(X88)
| ~ v2_yellow_0(X88)
| ~ v2_lattice3(X88)
| ~ l1_orders_2(X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_17,plain,
! [X29] :
( ~ l1_orders_2(X29)
| ~ v2_lattice3(X29)
| ~ v3_struct_0(X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_18,plain,
! [X1] :
( ~ v3_struct_0(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v2_waybel_8(k3_yellow_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc14_waybel_8]) ).
cnf(c_0_19,plain,
( r5_waybel_1(X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X2,X4)
| k1_card_1(X3) != k1_card_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,plain,
! [X82] :
( ~ v3_struct_0(k3_yellow_1(X82))
& v1_orders_2(k3_yellow_1(X82))
& v2_orders_2(k3_yellow_1(X82))
& v3_orders_2(k3_yellow_1(X82))
& v4_orders_2(k3_yellow_1(X82))
& v1_lattice3(k3_yellow_1(X82))
& v2_lattice3(k3_yellow_1(X82))
& v3_lattice3(k3_yellow_1(X82))
& v1_yellow_0(k3_yellow_1(X82))
& v2_yellow_0(k3_yellow_1(X82))
& v3_yellow_0(k3_yellow_1(X82))
& v24_waybel_0(k3_yellow_1(X82))
& v25_waybel_0(k3_yellow_1(X82))
& v2_waybel_1(k3_yellow_1(X82))
& v9_waybel_1(k3_yellow_1(X82))
& v10_waybel_1(k3_yellow_1(X82))
& v11_waybel_1(k3_yellow_1(X82))
& v2_waybel_3(k3_yellow_1(X82))
& v3_waybel_3(k3_yellow_1(X82))
& v1_waybel_8(k3_yellow_1(X82))
& v2_waybel_8(k3_yellow_1(X82)) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X53] :
( v1_orders_2(k3_yellow_1(X53))
& l1_orders_2(k3_yellow_1(X53)) ),
inference(variable_rename,[status(thm)],[dt_k3_yellow_1]) ).
fof(c_0_27,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel16]) ).
cnf(c_0_28,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
v2_yellow_0(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
l1_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
v2_lattice3(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
v4_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
v3_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
v2_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X93] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X93)))
| ~ v2_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v4_orders_2(X93)
| ~ v2_lattice3(X93)
| ~ v2_yellow_0(X93)
| ~ l1_orders_2(X93) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_37,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_40,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_43,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_41,c_0_24]) ).
cnf(c_0_44,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_45,plain,
( v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,plain,
( v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_48,negated_conjecture,
~ ! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
inference(assume_negation,[status(cth)],[t18_waybel22]) ).
cnf(c_0_49,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_46,c_0_47]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_50,plain,
( v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_51,negated_conjecture,
( 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)
& v3_waybel_3(esk2_0)
& l1_orders_2(esk2_0)
& r1_waybel22(esk2_0,esk3_0)
& k1_card_1(esk3_0) = k1_card_1(esk1_0)
& ~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
cnf(c_0_52,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_53,negated_conjecture,
r1_waybel22(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
v3_waybel_3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,negated_conjecture,
~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk3_0) != k1_card_1(X1) ),
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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_64,negated_conjecture,
k1_card_1(esk3_0) = k1_card_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT351+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
% 0.16/0.34 % Computer : n014.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 10:03:49 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 138.91/138.91 % Version : CSE_E---1.5
% 138.91/138.91 % Problem : theBenchmark.p
% 138.91/138.91 % Proof found
% 138.91/138.91 % SZS status Theorem for theBenchmark.p
% 138.91/138.91 % SZS output start Proof
% See solution above
% 138.91/138.92 % Total time : 138.310000 s
% 138.91/138.92 % SZS output end Proof
% 138.91/138.92 % Total time : 138.322000 s
%------------------------------------------------------------------------------