TSTP Solution File: GRP634+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP634+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:22:10 EDT 2023
% Result : Theorem 205.54s 205.51s
% Output : CNFRefutation 205.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 112
% Syntax : Number of formulae : 245 ( 49 unt; 84 typ; 0 def)
% Number of atoms : 748 ( 91 equ)
% Maximal formula atoms : 90 ( 4 avg)
% Number of connectives : 935 ( 348 ~; 364 |; 150 &)
% ( 9 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 118 ( 67 >; 51 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-4 aty)
% Number of functors : 54 ( 54 usr; 17 con; 0-4 aty)
% Number of variables : 266 ( 6 sgn; 156 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v1_group_1: $i > $o ).
tff(decl_24,type,
v3_group_1: $i > $o ).
tff(decl_25,type,
v4_group_1: $i > $o ).
tff(decl_26,type,
l1_group_1: $i > $o ).
tff(decl_27,type,
v7_group_1: $i > $o ).
tff(decl_28,type,
k5_autgroup: $i > $i ).
tff(decl_29,type,
u1_struct_0: $i > $i ).
tff(decl_30,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_31,type,
k2_group_1: $i > $i ).
tff(decl_32,type,
u1_group_1: $i > $i ).
tff(decl_33,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
v1_fraenkel: $i > $o ).
tff(decl_36,type,
v1_relat_1: $i > $o ).
tff(decl_37,type,
v1_funct_1: $i > $o ).
tff(decl_38,type,
v1_xboole_0: $i > $o ).
tff(decl_39,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
v2_group_1: $i > $o ).
tff(decl_43,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_44,type,
v3_relat_2: $i > $o ).
tff(decl_45,type,
v8_relat_2: $i > $o ).
tff(decl_46,type,
v1_relat_2: $i > $o ).
tff(decl_47,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_48,type,
k1_zfmisc_1: $i > $i ).
tff(decl_49,type,
v2_funct_1: $i > $o ).
tff(decl_50,type,
v3_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
k3_autgroup: $i > $i ).
tff(decl_53,type,
k1_autgroup: $i > $i ).
tff(decl_54,type,
k2_autgroup: $i > $i ).
tff(decl_55,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
k4_autgroup: $i > $i ).
tff(decl_57,type,
k1_fraenkel: ( $i * $i ) > $i ).
tff(decl_58,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
k2_group_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
v1_group_3: ( $i * $i ) > $o ).
tff(decl_62,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_63,type,
k6_partfun1: $i > $i ).
tff(decl_64,type,
k6_relat_1: $i > $i ).
tff(decl_65,type,
l1_struct_0: $i > $o ).
tff(decl_66,type,
k1_funct_2: ( $i * $i ) > $i ).
tff(decl_67,type,
k1_xboole_0: $i ).
tff(decl_68,type,
v4_relat_2: $i > $o ).
tff(decl_69,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_70,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_71,type,
esk1_0: $i ).
tff(decl_72,type,
esk2_0: $i ).
tff(decl_73,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk8_0: $i ).
tff(decl_79,type,
esk9_0: $i ).
tff(decl_80,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk11_1: $i > $i ).
tff(decl_82,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk13_1: $i > $i ).
tff(decl_84,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk16_0: $i ).
tff(decl_87,type,
esk17_0: $i ).
tff(decl_88,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk19_0: $i ).
tff(decl_90,type,
esk20_1: $i > $i ).
tff(decl_91,type,
esk21_1: $i > $i ).
tff(decl_92,type,
esk22_0: $i ).
tff(decl_93,type,
esk23_0: $i ).
tff(decl_94,type,
esk24_0: $i ).
tff(decl_95,type,
esk25_1: $i > $i ).
tff(decl_96,type,
esk26_0: $i ).
tff(decl_97,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk28_0: $i ).
tff(decl_99,type,
esk29_0: $i ).
tff(decl_100,type,
esk30_0: $i ).
tff(decl_101,type,
esk31_1: $i > $i ).
tff(decl_102,type,
esk32_0: $i ).
tff(decl_103,type,
esk33_0: $i ).
tff(decl_104,type,
esk34_1: $i > $i ).
tff(decl_105,type,
esk35_4: ( $i * $i * $i * $i ) > $i ).
fof(t32_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
=> X2 = k2_group_1(k5_autgroup(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_autgroup) ).
fof(dt_k5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(d5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& v1_group_3(X2,k3_autgroup(X1))
& m1_group_2(X2,k3_autgroup(X1)) )
=> ( X2 = k5_autgroup(X1)
<=> u1_struct_0(X2) = k4_autgroup(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_autgroup) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_partfun1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(t11_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) )
=> ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> r2_hidden(X3,k1_funct_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_funct_2) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_relat_1(k6_relat_1(X1))
& v1_funct_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(t21_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_autgroup) ).
fof(dt_k1_fraenkel,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> m1_fraenkel(k1_fraenkel(X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_fraenkel) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(redefinition_k1_fraenkel,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(d4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k4_autgroup(X1)
<=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
=> ( r2_hidden(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X5) = k2_group_3(X1,X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_autgroup) ).
fof(t113_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> k1_funct_1(X3,X5) = k1_funct_1(X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_funct_2) ).
fof(t35_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> k2_group_3(X1,X2,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_group_3) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(t35_funct_1,axiom,
! [X1,X2] :
( r2_hidden(X2,X1)
=> k1_funct_1(k6_relat_1(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
=> X2 = k2_group_1(k5_autgroup(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_autgroup])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_autgroup]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
fof(c_0_31,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_32,plain,
! [X75] :
( ~ l1_group_1(X75)
| l1_struct_0(X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_33,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& v7_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0)))
& esk2_0 != k2_group_1(k5_autgroup(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& v1_group_3(X2,k3_autgroup(X1))
& m1_group_2(X2,k3_autgroup(X1)) )
=> ( X2 = k5_autgroup(X1)
<=> u1_struct_0(X2) = k4_autgroup(X1) ) ) ),
inference(fof_simplification,[status(thm)],[d5_autgroup]) ).
fof(c_0_35,plain,
! [X68] :
( ( v1_group_1(k5_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( v1_group_3(k5_autgroup(X68),k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( m1_group_2(k5_autgroup(X68),k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_36,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_37,plain,
! [X67] :
( v3_struct_0(X67)
| ~ v1_group_1(X67)
| ~ v3_group_1(X67)
| ~ v4_group_1(X67)
| ~ l1_group_1(X67)
| m1_fraenkel(k4_autgroup(X67),u1_struct_0(X67),u1_struct_0(X67)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_38,plain,
! [X114] :
( v3_struct_0(X114)
| ~ l1_struct_0(X114)
| ~ v1_xboole_0(u1_struct_0(X114)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_39,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X54,X55] :
( ( X55 != k5_autgroup(X54)
| u1_struct_0(X55) = k4_autgroup(X54)
| ~ v1_group_1(X55)
| ~ v1_group_3(X55,k3_autgroup(X54))
| ~ m1_group_2(X55,k3_autgroup(X54))
| v3_struct_0(X54)
| ~ v1_group_1(X54)
| ~ v3_group_1(X54)
| ~ v4_group_1(X54)
| ~ l1_group_1(X54) )
& ( u1_struct_0(X55) != k4_autgroup(X54)
| X55 = k5_autgroup(X54)
| ~ v1_group_1(X55)
| ~ v1_group_3(X55,k3_autgroup(X54))
| ~ m1_group_2(X55,k3_autgroup(X54))
| v3_struct_0(X54)
| ~ v1_group_1(X54)
| ~ v3_group_1(X54)
| ~ v4_group_1(X54)
| ~ l1_group_1(X54) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
cnf(c_0_42,plain,
( v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
( m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( v1_group_1(k5_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_49,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
fof(c_0_50,plain,
! [X157,X158,X159,X160] :
( ( ~ m2_fraenkel(X160,X157,X158,X159)
| m1_subset_1(X160,X159)
| v1_xboole_0(X158)
| ~ m1_fraenkel(X159,X157,X158) )
& ( ~ m1_subset_1(X160,X159)
| m2_fraenkel(X160,X157,X158,X159)
| v1_xboole_0(X158)
| ~ m1_fraenkel(X159,X157,X158) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_54,plain,
( u1_struct_0(X1) = k4_autgroup(X2)
| v3_struct_0(X2)
| X1 != k5_autgroup(X2)
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X2))
| ~ m1_group_2(X1,k3_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,negated_conjecture,
v1_group_3(k5_autgroup(esk1_0),k3_autgroup(esk1_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_42,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
m1_group_2(k5_autgroup(esk1_0),k3_autgroup(esk1_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_47,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_57,negated_conjecture,
v1_group_1(k5_autgroup(esk1_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_48,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_58,plain,
! [X76,X77,X78] :
( ( ~ v1_xboole_0(X78)
| ~ m1_fraenkel(X78,X76,X77) )
& ( v1_fraenkel(X78)
| ~ m1_fraenkel(X78,X76,X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_59,plain,
! [X191] :
( ~ v1_xboole_0(X191)
| X191 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_60,plain,
( v1_relat_1(esk22_0)
& v1_funct_1(esk22_0)
& v2_funct_1(esk22_0)
& v1_xboole_0(esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_partfun1])]) ).
fof(c_0_61,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_0_62,plain,
( m2_fraenkel(X1,X3,X4,X2)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,X2)
| ~ m1_fraenkel(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_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_51,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_64,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_66,negated_conjecture,
u1_struct_0(k5_autgroup(esk1_0)) = k4_autgroup(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_40]),c_0_44]),c_0_45]),c_0_43]),c_0_57])]),c_0_46]) ).
fof(c_0_67,plain,
! [X11,X12] :
( ( v1_relat_1(X12)
| ~ m1_subset_1(X12,X11)
| ~ v1_fraenkel(X11) )
& ( v1_funct_1(X12)
| ~ m1_subset_1(X12,X11)
| ~ v1_fraenkel(X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_fraenkel])])])]) ).
cnf(c_0_68,plain,
( v1_fraenkel(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_69,plain,
! [X170,X171,X172] :
( ( X171 = k1_xboole_0
| r2_hidden(X172,k1_funct_2(X170,X171))
| ~ v1_funct_1(X172)
| ~ v1_funct_2(X172,X170,X171)
| ~ m2_relset_1(X172,X170,X171) )
& ( X170 != k1_xboole_0
| r2_hidden(X172,k1_funct_2(X170,X171))
| ~ v1_funct_1(X172)
| ~ v1_funct_2(X172,X170,X171)
| ~ m2_relset_1(X172,X170,X171) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_funct_2])])]) ).
cnf(c_0_70,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
v1_xboole_0(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_72,plain,
! [X81,X82,X83,X84] :
( ( v1_funct_1(X84)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) )
& ( v1_funct_2(X84,X81,X82)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) )
& ( m2_relset_1(X84,X81,X82)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_73,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_74,negated_conjecture,
m1_subset_1(esk2_0,k4_autgroup(esk1_0)),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v1_fraenkel(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
v1_fraenkel(k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_68,c_0_63]) ).
cnf(c_0_77,plain,
( r2_hidden(X2,k1_funct_2(X1,X3))
| X1 != k1_xboole_0
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m2_relset_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
k1_xboole_0 = esk22_0,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
( m2_relset_1(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,plain,
( v1_funct_2(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_84,plain,
( r2_hidden(X1,k1_funct_2(X2,X3))
| X2 != esk22_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_63])]),c_0_64]) ).
cnf(c_0_86,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_80]),c_0_63])]),c_0_64]) ).
cnf(c_0_87,negated_conjecture,
v1_funct_1(esk2_0),
inference(spm,[status(thm)],[c_0_82,c_0_74]) ).
fof(c_0_88,plain,
! [X115] :
( v1_relat_1(k6_relat_1(X115))
& v1_funct_1(k6_relat_1(X115)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_89,plain,
! [X152] : k6_partfun1(X152) = k6_relat_1(X152),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_90,plain,
! [X161,X162,X163] :
( ( ~ m2_relset_1(X163,X161,X162)
| m1_relset_1(X163,X161,X162) )
& ( ~ m1_relset_1(X163,X161,X162)
| m2_relset_1(X163,X161,X162) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_91,plain,
! [X69] :
( v1_partfun1(k6_partfun1(X69),X69,X69)
& m2_relset_1(k6_partfun1(X69),X69,X69) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_92,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[t21_autgroup]) ).
fof(c_0_93,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> m1_fraenkel(k1_fraenkel(X1,X2),X1,X2) ),
inference(fof_simplification,[status(thm)],[dt_k1_fraenkel]) ).
fof(c_0_94,plain,
! [X173,X174] :
( ~ r2_hidden(X173,X174)
| m1_subset_1(X173,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_95,plain,
( X1 = esk22_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(rw,[status(thm)],[c_0_83,c_0_78]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| u1_struct_0(esk1_0) != esk22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87])]) ).
fof(c_0_97,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_fraenkel]) ).
fof(c_0_98,plain,
! [X14,X15,X16] :
( ( v1_funct_1(X16)
| ~ v1_funct_1(X16)
| ~ v1_partfun1(X16,X14,X15)
| ~ m1_relset_1(X16,X14,X15) )
& ( v1_funct_2(X16,X14,X15)
| ~ v1_funct_1(X16)
| ~ v1_partfun1(X16,X14,X15)
| ~ m1_relset_1(X16,X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])]) ).
cnf(c_0_99,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_103,plain,
! [X175] :
( v3_struct_0(X175)
| ~ v1_group_1(X175)
| ~ v3_group_1(X175)
| ~ v4_group_1(X175)
| ~ l1_group_1(X175)
| k6_partfun1(u1_struct_0(X175)) = k2_group_1(k5_autgroup(X175)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).
fof(c_0_104,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k4_autgroup(X1)
<=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
=> ( r2_hidden(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X5) = k2_group_3(X1,X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_autgroup]) ).
fof(c_0_105,plain,
! [X59,X60] :
( v1_xboole_0(X60)
| m1_fraenkel(k1_fraenkel(X59,X60),X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])]) ).
cnf(c_0_106,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,negated_conjecture,
r2_hidden(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_85]),c_0_86]),c_0_87])]),c_0_96]) ).
fof(c_0_108,plain,
! [X150,X151] :
( v1_xboole_0(X151)
| k1_fraenkel(X150,X151) = k1_funct_2(X150,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).
fof(c_0_109,plain,
! [X165,X166,X167,X168] :
( ( m1_subset_1(esk35_4(X165,X166,X167,X168),X165)
| X167 = X168
| ~ v1_funct_1(X168)
| ~ v1_funct_2(X168,X165,X166)
| ~ m2_relset_1(X168,X165,X166)
| ~ v1_funct_1(X167)
| ~ v1_funct_2(X167,X165,X166)
| ~ m2_relset_1(X167,X165,X166) )
& ( k1_funct_1(X167,esk35_4(X165,X166,X167,X168)) != k1_funct_1(X168,esk35_4(X165,X166,X167,X168))
| X167 = X168
| ~ v1_funct_1(X168)
| ~ v1_funct_2(X168,X165,X166)
| ~ m2_relset_1(X168,X165,X166)
| ~ v1_funct_1(X167)
| ~ v1_funct_2(X167,X165,X166)
| ~ m2_relset_1(X167,X165,X166) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t113_funct_2])])])])]) ).
cnf(c_0_110,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_111,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_112,plain,
v1_funct_1(k6_partfun1(X1)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_113,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_115,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> k2_group_3(X1,X2,X3) = X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[t35_group_3]) ).
fof(c_0_116,plain,
! [X42,X43,X44,X46,X47,X50,X53] :
( ( m1_subset_1(esk3_3(X42,X43,X44),u1_struct_0(X42))
| ~ r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( ~ m1_subset_1(X46,u1_struct_0(X42))
| k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),X44,X46) = k2_group_3(X42,X46,esk3_3(X42,X43,X44))
| ~ r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk4_4(X42,X43,X44,X47),u1_struct_0(X42))
| ~ m1_subset_1(X47,u1_struct_0(X42))
| r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),X44,esk4_4(X42,X43,X44,X47)) != k2_group_3(X42,esk4_4(X42,X43,X44,X47),X47)
| ~ m1_subset_1(X47,u1_struct_0(X42))
| r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m2_fraenkel(esk5_2(X42,X43),u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk6_3(X42,X43,X50),u1_struct_0(X42))
| ~ m1_subset_1(X50,u1_struct_0(X42))
| ~ r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),esk5_2(X42,X43),esk6_3(X42,X43,X50)) != k2_group_3(X42,esk6_3(X42,X43,X50),X50)
| ~ m1_subset_1(X50,u1_struct_0(X42))
| ~ r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk7_2(X42,X43),u1_struct_0(X42))
| r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( ~ m1_subset_1(X53,u1_struct_0(X42))
| k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),esk5_2(X42,X43),X53) = k2_group_3(X42,X53,esk7_2(X42,X43))
| r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) ) ),
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_104])])])])]) ).
cnf(c_0_117,plain,
( v1_xboole_0(X1)
| m1_fraenkel(k1_fraenkel(X2,X1),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_118,negated_conjecture,
m1_subset_1(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_119,plain,
( v1_xboole_0(X1)
| k1_fraenkel(X2,X1) = k1_funct_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
fof(c_0_120,plain,
! [X176,X177] :
( ~ m1_subset_1(X176,X177)
| v1_xboole_0(X177)
| r2_hidden(X176,X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_121,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_122,plain,
( m1_subset_1(esk35_4(X1,X2,X3,X4),X1)
| X3 = X4
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m2_relset_1(X4,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_123,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),c_0_113])]) ).
cnf(c_0_124,negated_conjecture,
esk2_0 != k2_group_1(k5_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_125,negated_conjecture,
k2_group_1(k5_autgroup(esk1_0)) = k6_partfun1(u1_struct_0(esk1_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_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_126,plain,
! [X180,X181,X182] :
( v3_struct_0(X180)
| ~ v3_group_1(X180)
| ~ v4_group_1(X180)
| ~ l1_group_1(X180)
| ~ m1_subset_1(X181,u1_struct_0(X180))
| ~ m1_subset_1(X182,u1_struct_0(X180))
| v3_struct_0(X180)
| ~ v3_group_1(X180)
| ~ v4_group_1(X180)
| ~ v7_group_1(X180)
| ~ l1_group_1(X180)
| k2_group_3(X180,X181,X182) = X181 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])]) ).
cnf(c_0_127,plain,
( m1_subset_1(esk3_3(X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ r2_hidden(X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_128,plain,
( m2_fraenkel(X1,X2,X3,k1_fraenkel(X2,X3))
| v1_xboole_0(X3)
| ~ m1_subset_1(X1,k1_fraenkel(X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_117]) ).
cnf(c_0_129,negated_conjecture,
m1_subset_1(esk2_0,k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_64]) ).
cnf(c_0_130,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,negated_conjecture,
~ v1_xboole_0(k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_121,c_0_63]) ).
fof(c_0_132,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_133,plain,
! [X178,X179] :
( ~ r2_hidden(X179,X178)
| k1_funct_1(k6_relat_1(X178),X179) = X179 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_funct_1])]) ).
cnf(c_0_134,plain,
( k6_partfun1(X1) = X2
| m1_subset_1(esk35_4(X1,X1,k6_partfun1(X1),X2),X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ v1_funct_2(X2,X1,X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_102]),c_0_112])]),c_0_123])]) ).
cnf(c_0_135,negated_conjecture,
k6_partfun1(u1_struct_0(esk1_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_136,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| k2_group_3(X1,X2,X3) = X2
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_137,plain,
( m1_subset_1(esk3_3(X1,k4_autgroup(X1),X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X2,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_127]),c_0_51]) ).
cnf(c_0_138,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_64]) ).
cnf(c_0_139,negated_conjecture,
r2_hidden(esk2_0,k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_74]),c_0_131]) ).
fof(c_0_140,plain,
! [X153,X154,X155,X156] :
( v1_xboole_0(X153)
| ~ v1_funct_1(X155)
| ~ v1_funct_2(X155,X153,X154)
| ~ m1_relset_1(X155,X153,X154)
| ~ m1_subset_1(X156,X153)
| k8_funct_2(X153,X154,X155,X156) = k1_funct_1(X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])]) ).
cnf(c_0_141,plain,
( k1_funct_1(k6_relat_1(X2),X1) = X1
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_142,negated_conjecture,
m1_subset_1(esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_85]),c_0_86]),c_0_87])]),c_0_135]) ).
cnf(c_0_143,plain,
( k8_funct_2(u1_struct_0(X2),u1_struct_0(X2),X3,X1) = k2_group_3(X2,X1,esk3_3(X2,X4,X3))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_hidden(X3,X4)
| ~ m2_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)))
| X4 != k4_autgroup(X2)
| ~ m1_fraenkel(X4,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_144,plain,
( k2_group_3(X1,X2,X3) = X2
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v7_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_136]) ).
cnf(c_0_145,negated_conjecture,
m1_subset_1(esk3_3(esk1_0,k4_autgroup(esk1_0),esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_40]),c_0_44]),c_0_45]),c_0_43])]),c_0_46]) ).
cnf(c_0_146,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_147,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_148,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_101,c_0_85]) ).
cnf(c_0_149,plain,
( k1_funct_1(k6_partfun1(X2),X1) = X1
| ~ r2_hidden(X1,X2) ),
inference(rw,[status(thm)],[c_0_141,c_0_100]) ).
cnf(c_0_150,negated_conjecture,
r2_hidden(esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_142]),c_0_64]) ).
cnf(c_0_151,plain,
( k2_group_3(X1,X2,esk3_3(X1,k4_autgroup(X1),X3)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X2)
| v3_struct_0(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X3,k4_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_143]),c_0_51]) ).
cnf(c_0_152,negated_conjecture,
( k2_group_3(esk1_0,X1,esk3_3(esk1_0,k4_autgroup(esk1_0),esk2_0)) = X1
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_153,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,X1) = k1_funct_1(esk2_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_86]),c_0_87])]),c_0_64]) ).
cnf(c_0_154,plain,
( X1 = X4
| k1_funct_1(X1,esk35_4(X2,X3,X1,X4)) != k1_funct_1(X4,esk35_4(X2,X3,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X2,X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_155,negated_conjecture,
k1_funct_1(k6_partfun1(u1_struct_0(esk1_0)),esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0)) = esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( k2_group_3(esk1_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),esk3_3(esk1_0,k4_autgroup(esk1_0),X1)) = k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0))
| ~ m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| ~ r2_hidden(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_142]),c_0_40]),c_0_44]),c_0_45]),c_0_43])]),c_0_46]) ).
cnf(c_0_157,negated_conjecture,
k2_group_3(esk1_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),esk3_3(esk1_0,k4_autgroup(esk1_0),esk2_0)) = esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0),
inference(spm,[status(thm)],[c_0_152,c_0_142]) ).
cnf(c_0_158,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0)) = k1_funct_1(esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0)),
inference(spm,[status(thm)],[c_0_153,c_0_142]) ).
cnf(c_0_159,negated_conjecture,
k1_funct_1(esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),esk2_0)) != esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_85]),c_0_102]),c_0_86]),c_0_123]),c_0_87]),c_0_112])]),c_0_135]) ).
cnf(c_0_160,negated_conjecture,
$false,
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_156,c_0_138]),c_0_157]),c_0_158]),c_0_139])]),c_0_159]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP634+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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 23:31:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 205.54/205.51 % Version : CSE_E---1.5
% 205.54/205.51 % Problem : theBenchmark.p
% 205.54/205.51 % Proof found
% 205.54/205.51 % SZS status Theorem for theBenchmark.p
% 205.54/205.51 % SZS output start Proof
% See solution above
% 205.54/205.53 % Total time : 204.940000 s
% 205.54/205.53 % SZS output end Proof
% 205.54/205.53 % Total time : 204.954000 s
%------------------------------------------------------------------------------