TSTP Solution File: LAT372+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT372+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 : n010.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 06:02:12 EDT 2023
% Result : Timeout 293.03s 292.95s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 103
% Syntax : Number of formulae : 225 ( 42 unt; 77 typ; 0 def)
% Number of atoms : 633 ( 77 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 758 ( 273 ~; 284 |; 135 &)
% ( 6 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 65 >; 50 *; 0 +; 0 <<)
% Number of predicates : 42 ( 40 usr; 1 prp; 0-4 aty)
% Number of functors : 37 ( 37 usr; 12 con; 0-4 aty)
% Number of variables : 258 ( 7 sgn; 158 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
l1_orders_2: $i > $o ).
tff(decl_24,type,
v2_orders_2: $i > $o ).
tff(decl_25,type,
v4_orders_2: $i > $o ).
tff(decl_26,type,
v1_yellow_0: $i > $o ).
tff(decl_27,type,
k3_yellow_0: $i > $i ).
tff(decl_28,type,
k3_borsuk_1: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_membered: $i > $o ).
tff(decl_32,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_xcmplx_0: $i > $o ).
tff(decl_34,type,
v2_membered: $i > $o ).
tff(decl_35,type,
v1_xreal_0: $i > $o ).
tff(decl_36,type,
v3_membered: $i > $o ).
tff(decl_37,type,
v1_rat_1: $i > $o ).
tff(decl_38,type,
v4_membered: $i > $o ).
tff(decl_39,type,
v1_int_1: $i > $o ).
tff(decl_40,type,
v5_membered: $i > $o ).
tff(decl_41,type,
v4_ordinal2: $i > $o ).
tff(decl_42,type,
v1_xboole_0: $i > $o ).
tff(decl_43,type,
k1_zfmisc_1: $i > $i ).
tff(decl_44,type,
v1_finset_1: $i > $o ).
tff(decl_45,type,
v1_funct_1: $i > $o ).
tff(decl_46,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_47,type,
v1_relat_1: $i > $o ).
tff(decl_48,type,
v1_setfam_1: $i > $o ).
tff(decl_49,type,
u1_struct_0: $i > $i ).
tff(decl_50,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
v2_funct_1: $i > $o ).
tff(decl_56,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
k1_xboole_0: $i ).
tff(decl_58,type,
k1_yellow_0: ( $i * $i ) > $i ).
tff(decl_59,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
r4_waybel_0: ( $i * $i * $i * $i ) > $o ).
tff(decl_61,type,
r1_yellow_0: ( $i * $i ) > $o ).
tff(decl_62,type,
k4_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
k1_waybel_0: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
l1_struct_0: $i > $o ).
tff(decl_65,type,
k1_borsuk_1: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_67,type,
k2_yellow_0: ( $i * $i ) > $i ).
tff(decl_68,type,
k7_yellow_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
k1_tarski: $i > $i ).
tff(decl_70,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_71,type,
k2_funcop_1: ( $i * $i ) > $i ).
tff(decl_72,type,
v1_yellow_1: $i > $o ).
tff(decl_73,type,
v4_waybel_3: $i > $o ).
tff(decl_74,type,
v2_pralg_1: $i > $o ).
tff(decl_75,type,
v5_waybel_3: $i > $o ).
tff(decl_76,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_77,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_78,type,
r2_yellow_0: ( $i * $i ) > $o ).
tff(decl_79,type,
esk1_0: $i ).
tff(decl_80,type,
esk2_0: $i ).
tff(decl_81,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk4_0: $i ).
tff(decl_83,type,
esk5_0: $i ).
tff(decl_84,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk7_1: $i > $i ).
tff(decl_86,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk9_0: $i ).
tff(decl_88,type,
esk10_0: $i ).
tff(decl_89,type,
esk11_0: $i ).
tff(decl_90,type,
esk12_0: $i ).
tff(decl_91,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk14_0: $i ).
tff(decl_93,type,
esk15_1: $i > $i ).
tff(decl_94,type,
esk16_0: $i ).
tff(decl_95,type,
esk17_0: $i ).
tff(decl_96,type,
esk18_1: $i > $i ).
tff(decl_97,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk20_1: $i > $i ).
fof(t45_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& l1_orders_2(X2) )
=> v18_waybel_0(k3_borsuk_1(X1,X2,k3_yellow_0(X2)),X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_waybel34) ).
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_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_k1_borsuk_1,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,X1) )
=> k1_borsuk_1(X1,X2,X3) = k2_funcop_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_borsuk_1) ).
fof(d3_borsuk_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k3_borsuk_1(X1,X2,X3) = k1_borsuk_1(u1_struct_0(X2),u1_struct_0(X1),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_borsuk_1) ).
fof(dt_k3_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(dt_k3_borsuk_1,axiom,
! [X1,X2,X3] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( v1_funct_1(k3_borsuk_1(X1,X2,X3))
& v1_funct_2(k3_borsuk_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k3_borsuk_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_borsuk_1) ).
fof(dt_k1_borsuk_1,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,X1) )
=> ( v1_funct_1(k1_borsuk_1(X1,X2,X3))
& v1_funct_2(k1_borsuk_1(X1,X2,X3),X2,X1)
& m2_relset_1(k1_borsuk_1(X1,X2,X3),X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_borsuk_1) ).
fof(d33_waybel_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v18_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d33_waybel_0) ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(t13_funcop_1,axiom,
! [X1,X2,X3] :
( r2_hidden(X2,X1)
=> k1_funct_1(k2_funcop_1(X1,X3),X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funcop_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(d31_waybel_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r4_waybel_0(X1,X2,X3,X4)
<=> ( r1_yellow_0(X1,X4)
=> ( r1_yellow_0(X2,k4_pre_topc(X1,X2,X3,X4))
& k1_yellow_0(X2,k4_pre_topc(X1,X2,X3,X4)) = k1_waybel_0(X1,X2,X3,k1_yellow_0(X1,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d31_waybel_0) ).
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(redefinition_k1_waybel_0,axiom,
! [X1,X2,X3,X4] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(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))
& m1_subset_1(X4,u1_struct_0(X1)) )
=> k1_waybel_0(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( l1_orders_2(X1)
=> m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(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)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(t39_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(X1,k1_tarski(X2))
<=> ( X1 = k1_xboole_0
| X1 = k1_tarski(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(t6_borsuk_1,axiom,
! [X1,X2,X3] : r1_tarski(k9_relat_1(k2_funcop_1(X1,X2),X3),k1_tarski(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_borsuk_1) ).
fof(t39_yellow_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_yellow_0(X1,k1_struct_0(X1,X2)) = X2
& k2_yellow_0(X1,k1_struct_0(X1,X2)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_yellow_0) ).
fof(t38_yellow_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_yellow_0(X1,k1_struct_0(X1,X2))
& r2_yellow_0(X1,k1_struct_0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_yellow_0) ).
fof(fc1_waybel_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(X1)) )
=> ~ v1_xboole_0(k9_relat_1(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(t42_yellow_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( r1_yellow_0(X1,k1_xboole_0)
& r2_yellow_0(X1,u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(d11_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> k3_yellow_0(X1) = k1_yellow_0(X1,k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(c_0_26,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& l1_orders_2(X2) )
=> v18_waybel_0(k3_borsuk_1(X1,X2,k3_yellow_0(X2)),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t45_waybel34])]) ).
fof(c_0_27,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_28,plain,
! [X88] :
( ~ l1_orders_2(X88)
| l1_struct_0(X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_29,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_yellow_0(esk2_0)
& l1_orders_2(esk2_0)
& ~ v18_waybel_0(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_30,plain,
! [X109] :
( v3_struct_0(X109)
| ~ l1_struct_0(X109)
| ~ v1_xboole_0(u1_struct_0(X109)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
cnf(c_0_31,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,X1) )
=> k1_borsuk_1(X1,X2,X3) = k2_funcop_1(X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_borsuk_1]) ).
fof(c_0_34,plain,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k3_borsuk_1(X1,X2,X3) = k1_borsuk_1(u1_struct_0(X2),u1_struct_0(X1),X3) ) ) ),
inference(fof_simplification,[status(thm)],[d3_borsuk_1]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_38,plain,
! [X141,X142,X143] :
( v1_xboole_0(X141)
| ~ m1_subset_1(X143,X141)
| k1_borsuk_1(X141,X142,X143) = k2_funcop_1(X142,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_39,plain,
! [X79] :
( ~ l1_orders_2(X79)
| m1_subset_1(k3_yellow_0(X79),u1_struct_0(X79)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])]) ).
fof(c_0_40,plain,
! [X1,X2,X3] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( v1_funct_1(k3_borsuk_1(X1,X2,X3))
& v1_funct_2(k3_borsuk_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k3_borsuk_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_borsuk_1]) ).
fof(c_0_41,plain,
! [X60,X61,X62] :
( ~ l1_struct_0(X60)
| v3_struct_0(X61)
| ~ l1_struct_0(X61)
| ~ m1_subset_1(X62,u1_struct_0(X61))
| k3_borsuk_1(X60,X61,X62) = k1_borsuk_1(u1_struct_0(X61),u1_struct_0(X60),X62) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_42,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_43,plain,
( v1_xboole_0(X1)
| k1_borsuk_1(X1,X3,X2) = k2_funcop_1(X3,X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_45,plain,
! [X76,X77,X78] :
( ( v1_funct_1(k3_borsuk_1(X76,X77,X78))
| ~ l1_struct_0(X76)
| v3_struct_0(X77)
| ~ l1_struct_0(X77)
| ~ m1_subset_1(X78,u1_struct_0(X77)) )
& ( v1_funct_2(k3_borsuk_1(X76,X77,X78),u1_struct_0(X76),u1_struct_0(X77))
| ~ l1_struct_0(X76)
| v3_struct_0(X77)
| ~ l1_struct_0(X77)
| ~ m1_subset_1(X78,u1_struct_0(X77)) )
& ( m2_relset_1(k3_borsuk_1(X76,X77,X78),u1_struct_0(X76),u1_struct_0(X77))
| ~ l1_struct_0(X76)
| v3_struct_0(X77)
| ~ l1_struct_0(X77)
| ~ m1_subset_1(X78,u1_struct_0(X77)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_46,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,X1) )
=> ( v1_funct_1(k1_borsuk_1(X1,X2,X3))
& v1_funct_2(k1_borsuk_1(X1,X2,X3),X2,X1)
& m2_relset_1(k1_borsuk_1(X1,X2,X3),X2,X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_borsuk_1]) ).
cnf(c_0_47,plain,
( v3_struct_0(X2)
| k3_borsuk_1(X1,X2,X3) = k1_borsuk_1(u1_struct_0(X2),u1_struct_0(X1),X3)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( k1_borsuk_1(u1_struct_0(esk2_0),X1,X2) = k2_funcop_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(k3_yellow_0(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_50,plain,
( v1_funct_1(k3_borsuk_1(X1,X2,X3))
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_51,plain,
! [X63,X64,X65] :
( ( v1_funct_1(k1_borsuk_1(X63,X64,X65))
| v1_xboole_0(X63)
| ~ m1_subset_1(X65,X63) )
& ( v1_funct_2(k1_borsuk_1(X63,X64,X65),X64,X63)
| v1_xboole_0(X63)
| ~ m1_subset_1(X65,X63) )
& ( m2_relset_1(k1_borsuk_1(X63,X64,X65),X64,X63)
| v1_xboole_0(X63)
| ~ m1_subset_1(X65,X63) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_52,negated_conjecture,
( k1_borsuk_1(u1_struct_0(esk2_0),u1_struct_0(X1),X2) = k3_borsuk_1(X1,esk2_0,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_37])]) ).
cnf(c_0_53,negated_conjecture,
k1_borsuk_1(u1_struct_0(esk2_0),X1,k3_yellow_0(esk2_0)) = k2_funcop_1(X1,k3_yellow_0(esk2_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v18_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d33_waybel_0]) ).
cnf(c_0_56,negated_conjecture,
( v1_funct_1(k3_borsuk_1(X1,esk2_0,X2))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_37])]) ).
cnf(c_0_57,plain,
( m2_relset_1(k1_borsuk_1(X1,X2,X3),X2,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( k2_funcop_1(u1_struct_0(X1),k3_yellow_0(esk2_0)) = k3_borsuk_1(X1,esk2_0,k3_yellow_0(esk2_0))
| ~ l1_struct_0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_53]) ).
cnf(c_0_59,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_31,c_0_54]) ).
cnf(c_0_60,plain,
( v1_funct_2(k1_borsuk_1(X1,X2,X3),X2,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_61,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
fof(c_0_62,plain,
! [X162,X163,X164] :
( ~ r2_hidden(X163,X162)
| k1_funct_1(k2_funcop_1(X162,X164),X163) = X164 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t13_funcop_1])]) ).
fof(c_0_63,plain,
! [X167,X168] :
( ~ m1_subset_1(X167,X168)
| v1_xboole_0(X168)
| r2_hidden(X167,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_64,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r4_waybel_0(X1,X2,X3,X4)
<=> ( r1_yellow_0(X1,X4)
=> ( r1_yellow_0(X2,k4_pre_topc(X1,X2,X3,X4))
& k1_yellow_0(X2,k4_pre_topc(X1,X2,X3,X4)) = k1_waybel_0(X1,X2,X3,k1_yellow_0(X1,X4)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d31_waybel_0]) ).
fof(c_0_65,plain,
! [X55,X56,X57,X58] :
( ( ~ v18_waybel_0(X57,X55,X56)
| ~ m1_subset_1(X58,k1_zfmisc_1(u1_struct_0(X55)))
| r4_waybel_0(X55,X56,X57,X58)
| ~ v1_funct_1(X57)
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ m2_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| v3_struct_0(X56)
| ~ l1_orders_2(X56)
| v3_struct_0(X55)
| ~ l1_orders_2(X55) )
& ( m1_subset_1(esk3_3(X55,X56,X57),k1_zfmisc_1(u1_struct_0(X55)))
| v18_waybel_0(X57,X55,X56)
| ~ v1_funct_1(X57)
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ m2_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| v3_struct_0(X56)
| ~ l1_orders_2(X56)
| v3_struct_0(X55)
| ~ l1_orders_2(X55) )
& ( ~ r4_waybel_0(X55,X56,X57,esk3_3(X55,X56,X57))
| v18_waybel_0(X57,X55,X56)
| ~ v1_funct_1(X57)
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ m2_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| v3_struct_0(X56)
| ~ l1_orders_2(X56)
| v3_struct_0(X55)
| ~ l1_orders_2(X55) ) ),
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_55])])])])]) ).
cnf(c_0_66,negated_conjecture,
( v1_funct_1(k3_borsuk_1(X1,esk2_0,k3_yellow_0(esk2_0)))
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_67,negated_conjecture,
m2_relset_1(k2_funcop_1(X1,k3_yellow_0(esk2_0)),X1,u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_53]),c_0_49])]),c_0_42]) ).
cnf(c_0_68,negated_conjecture,
k2_funcop_1(u1_struct_0(esk1_0),k3_yellow_0(esk2_0)) = k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
v1_funct_2(k2_funcop_1(X1,k3_yellow_0(esk2_0)),X1,u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_49])]),c_0_42]) ).
fof(c_0_70,plain,
! [X158,X159,X160] :
( ( ~ m2_relset_1(X160,X158,X159)
| m1_relset_1(X160,X158,X159) )
& ( ~ m1_relset_1(X160,X158,X159)
| m2_relset_1(X160,X158,X159) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_71,plain,
! [X144,X145] :
( v3_struct_0(X144)
| ~ l1_struct_0(X144)
| ~ m1_subset_1(X145,u1_struct_0(X144))
| k1_struct_0(X144,X145) = k1_tarski(X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_72,plain,
! [X1,X2,X3,X4] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_struct_0(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))
& m1_subset_1(X4,u1_struct_0(X1)) )
=> k1_waybel_0(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_waybel_0]) ).
fof(c_0_73,plain,
! [X72,X73] :
( ~ l1_orders_2(X72)
| m1_subset_1(k1_yellow_0(X72,X73),u1_struct_0(X72)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
cnf(c_0_74,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_75,plain,
( k1_funct_1(k2_funcop_1(X2,X3),X1) = X3
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_76,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_77,plain,
! [X51,X52,X53,X54] :
( ( r1_yellow_0(X52,k4_pre_topc(X51,X52,X53,X54))
| ~ r1_yellow_0(X51,X54)
| ~ r4_waybel_0(X51,X52,X53,X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X51)))
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ m2_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
| v3_struct_0(X52)
| ~ l1_orders_2(X52)
| v3_struct_0(X51)
| ~ l1_orders_2(X51) )
& ( k1_yellow_0(X52,k4_pre_topc(X51,X52,X53,X54)) = k1_waybel_0(X51,X52,X53,k1_yellow_0(X51,X54))
| ~ r1_yellow_0(X51,X54)
| ~ r4_waybel_0(X51,X52,X53,X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X51)))
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ m2_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
| v3_struct_0(X52)
| ~ l1_orders_2(X52)
| v3_struct_0(X51)
| ~ l1_orders_2(X51) )
& ( r1_yellow_0(X51,X54)
| r4_waybel_0(X51,X52,X53,X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X51)))
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ m2_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
| v3_struct_0(X52)
| ~ l1_orders_2(X52)
| v3_struct_0(X51)
| ~ l1_orders_2(X51) )
& ( ~ r1_yellow_0(X52,k4_pre_topc(X51,X52,X53,X54))
| k1_yellow_0(X52,k4_pre_topc(X51,X52,X53,X54)) != k1_waybel_0(X51,X52,X53,k1_yellow_0(X51,X54))
| r4_waybel_0(X51,X52,X53,X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X51)))
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ m2_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
| v3_struct_0(X52)
| ~ l1_orders_2(X52)
| v3_struct_0(X51)
| ~ l1_orders_2(X51) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
cnf(c_0_78,negated_conjecture,
~ v18_waybel_0(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_79,plain,
( m1_subset_1(esk3_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v18_waybel_0(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ 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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_80,negated_conjecture,
v1_funct_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_81,negated_conjecture,
m2_relset_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_82,negated_conjecture,
v1_funct_2(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_69,c_0_68]) ).
fof(c_0_83,plain,
! [X150,X151,X152,X153] :
( ~ l1_struct_0(X150)
| ~ l1_struct_0(X151)
| ~ v1_funct_1(X152)
| ~ v1_funct_2(X152,u1_struct_0(X150),u1_struct_0(X151))
| ~ m1_relset_1(X152,u1_struct_0(X150),u1_struct_0(X151))
| k4_pre_topc(X150,X151,X152,X153) = k9_relat_1(X152,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])]) ).
cnf(c_0_84,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_85,plain,
! [X173,X174] :
( ( ~ r1_tarski(X173,k1_tarski(X174))
| X173 = k1_xboole_0
| X173 = k1_tarski(X174) )
& ( X173 != k1_xboole_0
| r1_tarski(X173,k1_tarski(X174)) )
& ( X173 != k1_tarski(X174)
| r1_tarski(X173,k1_tarski(X174)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
fof(c_0_86,plain,
! [X185,X186,X187] : r1_tarski(k9_relat_1(k2_funcop_1(X185,X186),X187),k1_tarski(X186)),
inference(variable_rename,[status(thm)],[t6_borsuk_1]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| k1_struct_0(X1,X2) = k1_tarski(X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_88,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_yellow_0(X1,k1_struct_0(X1,X2)) = X2
& k2_yellow_0(X1,k1_struct_0(X1,X2)) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t39_yellow_0]) ).
fof(c_0_89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_yellow_0(X1,k1_struct_0(X1,X2))
& r2_yellow_0(X1,k1_struct_0(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t38_yellow_0]) ).
fof(c_0_90,plain,
! [X146,X147,X148,X149] :
( v3_struct_0(X146)
| ~ l1_struct_0(X146)
| v3_struct_0(X147)
| ~ l1_struct_0(X147)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,u1_struct_0(X146),u1_struct_0(X147))
| ~ m1_relset_1(X148,u1_struct_0(X146),u1_struct_0(X147))
| ~ m1_subset_1(X149,u1_struct_0(X146))
| k1_waybel_0(X146,X147,X148,X149) = k1_funct_1(X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
cnf(c_0_91,plain,
( m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_92,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_36]),c_0_59])]) ).
cnf(c_0_93,plain,
( k1_funct_1(k2_funcop_1(X1,X2),X3) = X2
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_94,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(X1)) )
=> ~ v1_xboole_0(k9_relat_1(X3,X4)) ),
inference(fof_simplification,[status(thm)],[fc1_waybel_2]) ).
cnf(c_0_95,plain,
( r4_waybel_0(X2,X1,X3,X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_yellow_0(X1,k4_pre_topc(X2,X1,X3,X4))
| k1_yellow_0(X1,k4_pre_topc(X2,X1,X3,X4)) != k1_waybel_0(X2,X1,X3,k1_yellow_0(X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_96,negated_conjecture,
m1_subset_1(esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_32]),c_0_54])]),c_0_35]),c_0_74]),c_0_81]),c_0_82])]) ).
cnf(c_0_97,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(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_83]) ).
cnf(c_0_98,negated_conjecture,
m1_relset_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_84,c_0_81]) ).
cnf(c_0_99,plain,
( v18_waybel_0(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r4_waybel_0(X1,X2,X3,esk3_3(X1,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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_100,plain,
( X1 = k1_xboole_0
| X1 = k1_tarski(X2)
| ~ r1_tarski(X1,k1_tarski(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_101,plain,
r1_tarski(k9_relat_1(k2_funcop_1(X1,X2),X3),k1_tarski(X2)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,negated_conjecture,
( k1_tarski(X1) = k1_struct_0(esk2_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_87]),c_0_37])]) ).
fof(c_0_103,plain,
! [X171,X172] :
( ( k1_yellow_0(X171,k1_struct_0(X171,X172)) = X172
| ~ m1_subset_1(X172,u1_struct_0(X171))
| v3_struct_0(X171)
| ~ v2_orders_2(X171)
| ~ v4_orders_2(X171)
| ~ l1_orders_2(X171) )
& ( k2_yellow_0(X171,k1_struct_0(X171,X172)) = X172
| ~ m1_subset_1(X172,u1_struct_0(X171))
| v3_struct_0(X171)
| ~ v2_orders_2(X171)
| ~ v4_orders_2(X171)
| ~ l1_orders_2(X171) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).
fof(c_0_104,plain,
! [X169,X170] :
( ( r1_yellow_0(X169,k1_struct_0(X169,X170))
| ~ m1_subset_1(X170,u1_struct_0(X169))
| v3_struct_0(X169)
| ~ v2_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ l1_orders_2(X169) )
& ( r2_yellow_0(X169,k1_struct_0(X169,X170))
| ~ m1_subset_1(X170,u1_struct_0(X169))
| v3_struct_0(X169)
| ~ v2_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ l1_orders_2(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
cnf(c_0_105,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_waybel_0(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(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))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_106,negated_conjecture,
m1_subset_1(k1_yellow_0(esk1_0,X1),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_91,c_0_54]) ).
cnf(c_0_107,negated_conjecture,
( k1_funct_1(k2_funcop_1(u1_struct_0(esk1_0),X1),X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_108,plain,
! [X114,X115,X116,X117] :
( v1_xboole_0(X114)
| v1_xboole_0(X115)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| v1_xboole_0(X117)
| ~ m1_subset_1(X117,k1_zfmisc_1(X114))
| ~ v1_xboole_0(k9_relat_1(X116,X117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])]) ).
cnf(c_0_109,negated_conjecture,
( r4_waybel_0(esk1_0,X1,X2,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))
| v3_struct_0(X1)
| k1_yellow_0(X1,k4_pre_topc(esk1_0,X1,X2,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))) != k1_waybel_0(esk1_0,X1,X2,k1_yellow_0(esk1_0,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))))
| ~ r1_yellow_0(X1,k4_pre_topc(esk1_0,X1,X2,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))))
| ~ m2_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_54])]),c_0_74]) ).
cnf(c_0_110,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),X1) = k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_82]),c_0_37]),c_0_59]),c_0_80])]),c_0_98])]) ).
cnf(c_0_111,negated_conjecture,
~ r4_waybel_0(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_99]),c_0_80]),c_0_32]),c_0_54])]),c_0_35]),c_0_74]),c_0_81]),c_0_82])]) ).
cnf(c_0_112,plain,
( k9_relat_1(k2_funcop_1(X1,X2),X3) = k1_tarski(X2)
| k9_relat_1(k2_funcop_1(X1,X2),X3) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_113,negated_conjecture,
k1_tarski(k3_yellow_0(esk2_0)) = k1_struct_0(esk2_0,k3_yellow_0(esk2_0)),
inference(spm,[status(thm)],[c_0_102,c_0_49]) ).
cnf(c_0_114,plain,
( k1_yellow_0(X1,k1_struct_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_115,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_116,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_117,plain,
( r1_yellow_0(X1,k1_struct_0(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_118,negated_conjecture,
( k1_waybel_0(esk1_0,X1,X2,k1_yellow_0(esk1_0,X3)) = k1_funct_1(X2,k1_yellow_0(esk1_0,X3))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_59])]),c_0_74]) ).
cnf(c_0_119,negated_conjecture,
k1_funct_1(k2_funcop_1(u1_struct_0(esk1_0),X1),k1_yellow_0(esk1_0,X2)) = X1,
inference(spm,[status(thm)],[c_0_107,c_0_106]) ).
cnf(c_0_120,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k9_relat_1(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_121,negated_conjecture,
( k1_waybel_0(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_yellow_0(esk1_0,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))) != k1_yellow_0(esk2_0,k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))))
| ~ r1_yellow_0(esk2_0,k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_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(spm,[status(thm)],[c_0_109,c_0_67]),c_0_68]),c_0_68]),c_0_110]),c_0_68]),c_0_68]),c_0_110]),c_0_68]),c_0_82]),c_0_68]),c_0_80]),c_0_32])]),c_0_111]),c_0_35]) ).
cnf(c_0_122,negated_conjecture,
( k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),X1) = k1_struct_0(esk2_0,k3_yellow_0(esk2_0))
| k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),X1) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_68]),c_0_113]) ).
cnf(c_0_123,negated_conjecture,
k1_yellow_0(esk2_0,k1_struct_0(esk2_0,k3_yellow_0(esk2_0))) = k3_yellow_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_49]),c_0_115]),c_0_116]),c_0_32])]),c_0_35]) ).
cnf(c_0_124,negated_conjecture,
r1_yellow_0(esk2_0,k1_struct_0(esk2_0,k3_yellow_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_49]),c_0_115]),c_0_116]),c_0_32])]),c_0_35]) ).
cnf(c_0_125,negated_conjecture,
( k1_waybel_0(esk1_0,esk2_0,X1,k1_yellow_0(esk1_0,X2)) = k1_funct_1(X1,k1_yellow_0(esk1_0,X2))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_118]),c_0_37])]) ).
cnf(c_0_126,negated_conjecture,
k1_funct_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_yellow_0(esk1_0,X1)) = k3_yellow_0(esk2_0),
inference(spm,[status(thm)],[c_0_119,c_0_68]) ).
cnf(c_0_127,negated_conjecture,
( v1_xboole_0(esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))
| v1_xboole_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(esk1_0),X1)
| ~ m1_relset_1(X2,u1_struct_0(esk1_0),X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(k9_relat_1(X2,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_96]),c_0_92]) ).
cnf(c_0_128,negated_conjecture,
( k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))) = k1_xboole_0
| k1_waybel_0(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_yellow_0(esk1_0,esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))) != k3_yellow_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124])]) ).
cnf(c_0_129,negated_conjecture,
k1_waybel_0(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_yellow_0(esk1_0,X1)) = k3_yellow_0(esk2_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_125,c_0_69]),c_0_68]),c_0_68]),c_0_126]),c_0_68]),c_0_98]),c_0_68]),c_0_80])]) ).
fof(c_0_130,plain,
! [X184] :
( ~ v1_xboole_0(X184)
| X184 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_131,negated_conjecture,
( v1_xboole_0(esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))))
| ~ v1_xboole_0(k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_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_127,c_0_69]),c_0_68]),c_0_98]),c_0_68]),c_0_80]),c_0_68])]),c_0_42]) ).
cnf(c_0_132,negated_conjecture,
k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).
cnf(c_0_133,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
fof(c_0_134,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( r1_yellow_0(X1,k1_xboole_0)
& r2_yellow_0(X1,u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[t42_yellow_0]) ).
cnf(c_0_135,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_136,negated_conjecture,
v1_xboole_0(esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).
fof(c_0_137,plain,
! [X50] :
( ~ l1_orders_2(X50)
| k3_yellow_0(X50) = k1_yellow_0(X50,k1_xboole_0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_yellow_0])]) ).
fof(c_0_138,plain,
! [X177] :
( ( r1_yellow_0(X177,k1_xboole_0)
| v3_struct_0(X177)
| ~ v4_orders_2(X177)
| ~ v1_yellow_0(X177)
| ~ l1_orders_2(X177) )
& ( r2_yellow_0(X177,u1_struct_0(X177))
| v3_struct_0(X177)
| ~ v4_orders_2(X177)
| ~ v1_yellow_0(X177)
| ~ l1_orders_2(X177) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])]) ).
cnf(c_0_139,negated_conjecture,
esk3_3(esk1_0,esk2_0,k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0))) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_140,plain,
( k3_yellow_0(X1) = k1_yellow_0(X1,k1_xboole_0)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_141,plain,
( r1_yellow_0(X1,k1_xboole_0)
| v3_struct_0(X1)
| ~ v4_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_142,negated_conjecture,
v1_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_143,negated_conjecture,
( k1_yellow_0(esk2_0,k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_xboole_0)) != k3_yellow_0(esk2_0)
| ~ r1_yellow_0(esk2_0,k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_xboole_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_129]),c_0_139]),c_0_139]) ).
cnf(c_0_144,negated_conjecture,
k9_relat_1(k3_borsuk_1(esk1_0,esk2_0,k3_yellow_0(esk2_0)),k1_xboole_0) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_132,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
k1_yellow_0(esk2_0,k1_xboole_0) = k3_yellow_0(esk2_0),
inference(spm,[status(thm)],[c_0_140,c_0_32]) ).
cnf(c_0_146,negated_conjecture,
r1_yellow_0(esk2_0,k1_xboole_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_115]),c_0_32])]),c_0_35]) ).
cnf(c_0_147,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_144]),c_0_146])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT372+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 07:31:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 293.03/292.95 % Version : CSE_E---1.5
% 293.03/292.95 % Problem : theBenchmark.p
% 293.03/292.95 % Proof found
% 293.03/292.95 % SZS status Theorem for theBenchmark.p
% 293.03/292.95 % SZS output start Proof
% See solution above
% 293.03/292.97 % Total time : 292.376000 s
% 293.03/292.97 % SZS output end Proof
% 293.03/292.97 % Total time : 292.394000 s
%------------------------------------------------------------------------------