TSTP Solution File: GRP630+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP630+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 : n004.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 00:22:02 EDT 2023
% Result : Theorem 1.99s 2.03s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 96
% Syntax : Number of formulae : 204 ( 30 unt; 76 typ; 0 def)
% Number of atoms : 845 ( 101 equ)
% Maximal formula atoms : 231 ( 6 avg)
% Number of connectives : 1162 ( 445 ~; 508 |; 155 &)
% ( 7 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 108 ( 60 >; 48 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-4 aty)
% Number of functors : 47 ( 47 usr; 16 con; 0-6 aty)
% Number of variables : 210 ( 2 sgn; 125 !; 1 ?; 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,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k3_group_1: ( $i * $i ) > $i ).
tff(decl_30,type,
k6_autgroup: ( $i * $i ) > $i ).
tff(decl_31,type,
k2_funct_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,
v3_relat_2: $i > $o ).
tff(decl_44,type,
v8_relat_2: $i > $o ).
tff(decl_45,type,
v1_relat_2: $i > $o ).
tff(decl_46,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_47,type,
k1_zfmisc_1: $i > $i ).
tff(decl_48,type,
v2_funct_1: $i > $o ).
tff(decl_49,type,
v3_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
k1_autgroup: $i > $i ).
tff(decl_53,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_54,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
v3_group_6: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
k1_partfun1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
k2_group_1: $i > $i ).
tff(decl_59,type,
k4_autgroup: $i > $i ).
tff(decl_60,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_61,type,
k6_partfun1: $i > $i ).
tff(decl_62,type,
k6_relat_1: $i > $i ).
tff(decl_63,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
l1_struct_0: $i > $o ).
tff(decl_65,type,
k1_xboole_0: $i ).
tff(decl_66,type,
v4_relat_2: $i > $o ).
tff(decl_67,type,
k1_relat_1: $i > $i ).
tff(decl_68,type,
k2_relat_1: $i > $i ).
tff(decl_69,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_70,type,
esk1_0: $i ).
tff(decl_71,type,
esk2_0: $i ).
tff(decl_72,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk5_0: $i ).
tff(decl_75,type,
esk6_0: $i ).
tff(decl_76,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk9_1: $i > $i ).
tff(decl_79,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk12_0: $i ).
tff(decl_82,type,
esk13_0: $i ).
tff(decl_83,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk15_0: $i ).
tff(decl_85,type,
esk16_0: $i ).
tff(decl_86,type,
esk17_0: $i ).
tff(decl_87,type,
esk18_0: $i ).
tff(decl_88,type,
esk19_1: $i > $i ).
tff(decl_89,type,
esk20_0: $i ).
tff(decl_90,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk23_0: $i ).
tff(decl_93,type,
esk24_0: $i ).
tff(decl_94,type,
esk25_0: $i ).
tff(decl_95,type,
esk26_1: $i > $i ).
tff(decl_96,type,
esk27_0: $i ).
tff(decl_97,type,
esk28_1: $i > $i ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(t28_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_autgroup) ).
fof(dt_k6_autgroup,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(d1_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 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
fof(dt_k1_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(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(t13_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(l9_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_autgroup) ).
fof(t36_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,X2,X1)
& m2_relset_1(X4,X2,X1) )
=> ( ( k2_relat_1(X3) = X2
& k1_partfun1(X1,X2,X2,X1,X3,X4) = k6_partfun1(X1)
& v2_funct_1(X3) )
=> ( X1 = k1_xboole_0
| X2 = k1_xboole_0
| X4 = k2_funct_1(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_funct_2) ).
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(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(redefinition_k1_partfun1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( v1_funct_1(X5)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& m1_relset_1(X6,X3,X4) )
=> k1_partfun1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_partfun1) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(t27_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_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_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(t24_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
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(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(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(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_autgroup])]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_autgroup]) ).
fof(c_0_23,plain,
! [X55,X56] :
( v3_struct_0(X55)
| ~ v3_group_1(X55)
| ~ v4_group_1(X55)
| ~ l1_group_1(X55)
| ~ m1_subset_1(X56,u1_struct_0(X55))
| m1_subset_1(k3_group_1(X55,X56),u1_struct_0(X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_24,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)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)) != k2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_25,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 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_autgroup]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_autgroup]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[t13_autgroup]) ).
fof(c_0_28,plain,
! [X60,X61] :
( v3_struct_0(X60)
| ~ v1_group_1(X60)
| ~ v3_group_1(X60)
| ~ v4_group_1(X60)
| ~ l1_group_1(X60)
| ~ m1_subset_1(X61,u1_struct_0(X60))
| m2_fraenkel(k6_autgroup(X60,X61),u1_struct_0(X60),u1_struct_0(X60),k4_autgroup(X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_35,plain,
! [X38,X39,X40,X41] :
( ( v1_funct_1(X40)
| ~ m2_fraenkel(X40,u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_funct_2(X40,u1_struct_0(X38),u1_struct_0(X38))
| ~ m2_fraenkel(X40,u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_group_6(X40,X38,X38)
| ~ m2_fraenkel(X40,u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( m2_relset_1(X40,u1_struct_0(X38),u1_struct_0(X38))
| ~ m2_fraenkel(X40,u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v2_funct_1(X41)
| ~ r2_hidden(X41,X39)
| ~ v1_funct_1(X41)
| ~ v1_funct_2(X41,u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(X41,X38,X38)
| ~ m2_relset_1(X41,u1_struct_0(X38),u1_struct_0(X38))
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v3_group_6(X41,X38,X38)
| ~ r2_hidden(X41,X39)
| ~ v1_funct_1(X41)
| ~ v1_funct_2(X41,u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(X41,X38,X38)
| ~ m2_relset_1(X41,u1_struct_0(X38),u1_struct_0(X38))
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( ~ v2_funct_1(X41)
| ~ v3_group_6(X41,X38,X38)
| r2_hidden(X41,X39)
| ~ v1_funct_1(X41)
| ~ v1_funct_2(X41,u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(X41,X38,X38)
| ~ m2_relset_1(X41,u1_struct_0(X38),u1_struct_0(X38))
| X39 != k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_funct_1(esk4_2(X38,X39))
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_funct_2(esk4_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_group_6(esk4_2(X38,X39),X38,X38)
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( m2_relset_1(esk4_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( ~ r2_hidden(esk4_2(X38,X39),X39)
| ~ v2_funct_1(esk4_2(X38,X39))
| ~ v3_group_6(esk4_2(X38,X39),X38,X38)
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v2_funct_1(esk4_2(X38,X39))
| r2_hidden(esk4_2(X38,X39),X39)
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v3_group_6(esk4_2(X38,X39),X38,X38)
| r2_hidden(esk4_2(X38,X39),X39)
| m2_fraenkel(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38),X39)
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_funct_1(esk4_2(X38,X39))
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_funct_2(esk4_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v1_group_6(esk4_2(X38,X39),X38,X38)
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( m2_relset_1(esk4_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( ~ r2_hidden(esk4_2(X38,X39),X39)
| ~ v2_funct_1(esk4_2(X38,X39))
| ~ v3_group_6(esk4_2(X38,X39),X38,X38)
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v2_funct_1(esk4_2(X38,X39))
| r2_hidden(esk4_2(X38,X39),X39)
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) )
& ( v3_group_6(esk4_2(X38,X39),X38,X38)
| r2_hidden(esk4_2(X38,X39),X39)
| ~ v1_funct_1(esk3_2(X38,X39))
| ~ v1_funct_2(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| ~ v1_group_6(esk3_2(X38,X39),X38,X38)
| ~ m2_relset_1(esk3_2(X38,X39),u1_struct_0(X38),u1_struct_0(X38))
| X39 = k1_autgroup(X38)
| ~ m1_fraenkel(X39,u1_struct_0(X38),u1_struct_0(X38))
| v3_struct_0(X38)
| ~ v1_group_1(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38) ) ),
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_25])])])])]) ).
fof(c_0_36,plain,
! [X46] :
( v3_struct_0(X46)
| ~ v1_group_1(X46)
| ~ v3_group_1(X46)
| ~ v4_group_1(X46)
| ~ l1_group_1(X46)
| m1_fraenkel(k1_autgroup(X46),u1_struct_0(X46),u1_struct_0(X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_37,plain,
! [X157,X158] :
( v3_struct_0(X157)
| ~ v1_group_1(X157)
| ~ v3_group_1(X157)
| ~ v4_group_1(X157)
| ~ l1_group_1(X157)
| ~ m2_fraenkel(X158,u1_struct_0(X157),u1_struct_0(X157),k4_autgroup(X157))
| m2_fraenkel(X158,u1_struct_0(X157),u1_struct_0(X157),k1_autgroup(X157)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(k3_group_1(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(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[l9_autgroup]) ).
cnf(c_0_42,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,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_35]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_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_36]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_46,plain,
! [X166,X167,X168,X169] :
( ~ v1_funct_1(X168)
| ~ v1_funct_2(X168,X166,X167)
| ~ m2_relset_1(X168,X166,X167)
| ~ v1_funct_1(X169)
| ~ v1_funct_2(X169,X167,X166)
| ~ m2_relset_1(X169,X167,X166)
| k2_relat_1(X168) != X167
| k1_partfun1(X166,X167,X167,X166,X168,X169) != k6_partfun1(X166)
| ~ v2_funct_1(X168)
| X166 = k1_xboole_0
| X167 = k1_xboole_0
| X169 = k2_funct_1(X168) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_funct_2])])]) ).
fof(c_0_47,plain,
! [X178] :
( ~ v1_xboole_0(X178)
| X178 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_48,plain,
( v1_relat_1(esk16_0)
& v1_funct_1(esk16_0)
& v2_funct_1(esk16_0)
& v1_xboole_0(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_partfun1])]) ).
fof(c_0_49,plain,
! [X109,X110] :
( ( k1_relat_1(X110) = k2_relat_1(X110)
| ~ m2_fraenkel(X110,u1_struct_0(X109),u1_struct_0(X109),k1_autgroup(X109))
| v3_struct_0(X109)
| ~ v1_group_1(X109)
| ~ v3_group_1(X109)
| ~ v4_group_1(X109)
| ~ l1_group_1(X109) )
& ( k1_relat_1(X110) = u1_struct_0(X109)
| ~ m2_fraenkel(X110,u1_struct_0(X109),u1_struct_0(X109),k1_autgroup(X109))
| v3_struct_0(X109)
| ~ v1_group_1(X109)
| ~ v3_group_1(X109)
| ~ v4_group_1(X109)
| ~ l1_group_1(X109) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
cnf(c_0_50,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_38,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_51,plain,
! [X153,X154,X155] :
( ( ~ m2_relset_1(X155,X153,X154)
| m1_relset_1(X155,X153,X154) )
& ( ~ m1_relset_1(X155,X153,X154)
| m2_relset_1(X155,X153,X154) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_52,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_43]) ).
cnf(c_0_53,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_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_44,c_0_45]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_54,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,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_35]) ).
cnf(c_0_55,plain,
( X2 = k1_xboole_0
| X3 = k1_xboole_0
| X4 = k2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X3,X2)
| ~ m2_relset_1(X4,X3,X2)
| k2_relat_1(X1) != X3
| k1_partfun1(X2,X3,X3,X2,X1,X4) != k6_partfun1(X2)
| ~ v2_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
v1_xboole_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_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_49]) ).
cnf(c_0_59,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_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_44,c_0_50]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_60,plain,
! [X137,X138,X139,X140,X141,X142] :
( ~ v1_funct_1(X141)
| ~ m1_relset_1(X141,X137,X138)
| ~ v1_funct_1(X142)
| ~ m1_relset_1(X142,X139,X140)
| k1_partfun1(X137,X138,X139,X140,X141,X142) = k5_relat_1(X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_partfun1])]) ).
cnf(c_0_61,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,k3_group_1(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_63,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_54]),c_0_43]) ).
fof(c_0_64,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
cnf(c_0_65,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,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_35]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[t27_autgroup]) ).
fof(c_0_67,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]) ).
cnf(c_0_68,plain,
( k2_relat_1(X1) = k1_xboole_0
| X2 = k2_funct_1(X1)
| X3 = k1_xboole_0
| k1_partfun1(X3,k2_relat_1(X1),k2_relat_1(X1),X3,X1,X2) != k6_partfun1(X3)
| ~ m2_relset_1(X2,k2_relat_1(X1),X3)
| ~ m2_relset_1(X1,X3,k2_relat_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_funct_2(X2,k2_relat_1(X1),X3)
| ~ v1_funct_2(X1,X3,k2_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
k1_xboole_0 = esk16_0,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_70,plain,
( k1_relat_1(X1) = k2_relat_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_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_49]) ).
cnf(c_0_71,negated_conjecture,
k1_relat_1(k6_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(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_72,plain,
( k1_partfun1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_74,negated_conjecture,
v1_funct_1(k6_autgroup(esk1_0,k3_group_1(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(spm,[status(thm)],[c_0_63,c_0_53]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_75,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_76,plain,
! [X144,X145,X146,X147,X148] :
( v1_xboole_0(X145)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,X144,X145)
| ~ m1_relset_1(X147,X144,X145)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,X145,X146)
| ~ m1_relset_1(X148,X145,X146)
| k7_funct_2(X144,X145,X146,X147,X148) = k5_relat_1(X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).
cnf(c_0_77,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_65]),c_0_43]) ).
fof(c_0_78,plain,
! [X162,X163] :
( v3_struct_0(X162)
| ~ v1_group_1(X162)
| ~ v3_group_1(X162)
| ~ v4_group_1(X162)
| ~ l1_group_1(X162)
| ~ m1_subset_1(X163,u1_struct_0(X162))
| k7_funct_2(u1_struct_0(X162),u1_struct_0(X162),u1_struct_0(X162),k6_autgroup(X162,X163),k6_autgroup(X162,k3_group_1(X162,X163))) = k6_autgroup(X162,k2_group_1(X162)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_79,plain,
! [X149,X150,X151,X152] :
( ( ~ m2_fraenkel(X152,X149,X150,X151)
| m1_subset_1(X152,X151)
| v1_xboole_0(X150)
| ~ m1_fraenkel(X151,X149,X150) )
& ( ~ m1_subset_1(X152,X151)
| m2_fraenkel(X152,X149,X150,X151)
| v1_xboole_0(X150)
| ~ m1_fraenkel(X151,X149,X150) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
cnf(c_0_80,plain,
( k2_relat_1(X1) = esk16_0
| X2 = k2_funct_1(X1)
| X3 = esk16_0
| k1_partfun1(X3,k2_relat_1(X1),k2_relat_1(X1),X3,X1,X2) != k6_partfun1(X3)
| ~ m2_relset_1(X2,k2_relat_1(X1),X3)
| ~ m2_relset_1(X1,X3,k2_relat_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_funct_2(X2,k2_relat_1(X1),X3)
| ~ v1_funct_2(X1,X3,k2_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]) ).
cnf(c_0_81,negated_conjecture,
k2_relat_1(k6_autgroup(esk1_0,esk2_0)) = u1_struct_0(esk1_0),
inference(rw,[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(spm,[status(thm)],[c_0_70,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]),c_0_71]) ).
cnf(c_0_82,negated_conjecture,
v1_funct_1(k6_autgroup(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(spm,[status(thm)],[c_0_63,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_83,negated_conjecture,
( k1_partfun1(X1,X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X3,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(X3,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_84,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_61,c_0_75]) ).
cnf(c_0_85,plain,
( v1_xboole_0(X1)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X5)
| ~ m1_relset_1(X4,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,k3_group_1(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_53]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,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_35]) ).
cnf(c_0_89,plain,
( m1_subset_1(X1,X4)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,negated_conjecture,
( X1 = k2_funct_1(k6_autgroup(esk1_0,esk2_0))
| u1_struct_0(esk1_0) = esk16_0
| X2 = esk16_0
| k1_partfun1(X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,esk2_0),X1) != k6_partfun1(X2)
| ~ m2_relset_1(k6_autgroup(esk1_0,esk2_0),X2,u1_struct_0(esk1_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),X2)
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X2,u1_struct_0(esk1_0))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),X2)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_91,negated_conjecture,
k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_82])]) ).
cnf(c_0_92,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_93,negated_conjecture,
k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)) != k2_funct_1(k6_autgroup(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_94,negated_conjecture,
( k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(X2,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_73]),c_0_86]),c_0_74])]) ).
cnf(c_0_95,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k6_autgroup(esk1_0,k2_group_1(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_87,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_96,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[t24_autgroup]) ).
cnf(c_0_97,plain,
( v2_funct_1(X1)
| v3_struct_0(X3)
| ~ r2_hidden(X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_6(X1,X3,X3)
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X3))
| X2 != k1_autgroup(X3)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_98,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_88]),c_0_43]) ).
fof(c_0_99,plain,
! [X164,X165] :
( ~ m1_subset_1(X164,X165)
| v1_xboole_0(X165)
| r2_hidden(X164,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_100,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_59]) ).
fof(c_0_101,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
cnf(c_0_102,negated_conjecture,
( u1_struct_0(esk1_0) = esk16_0
| k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) != k6_partfun1(u1_struct_0(esk1_0))
| ~ v2_funct_1(k6_autgroup(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(spm,[status(thm)],[c_0_90,c_0_91]),c_0_75]),c_0_62]),c_0_92]),c_0_86]),c_0_74])]),c_0_93]) ).
cnf(c_0_103,negated_conjecture,
( k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k6_autgroup(esk1_0,k2_group_1(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_84]),c_0_95]),c_0_92]),c_0_82])]) ).
cnf(c_0_104,plain,
( X1 = esk16_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_56,c_0_69]) ).
fof(c_0_105,plain,
! [X161] :
( v3_struct_0(X161)
| ~ v1_group_1(X161)
| ~ v3_group_1(X161)
| ~ v4_group_1(X161)
| ~ l1_group_1(X161)
| k6_autgroup(X161,k2_group_1(X161)) = k6_partfun1(u1_struct_0(X161)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])]) ).
cnf(c_0_106,plain,
( v2_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ r2_hidden(X1,k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_97]),c_0_43]) ).
cnf(c_0_107,negated_conjecture,
v1_group_6(k6_autgroup(esk1_0,esk2_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_59]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_108,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k6_autgroup(esk1_0,esk2_0),k1_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_100,c_0_43]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_110,plain,
! [X70,X71,X72] :
( ( ~ v1_xboole_0(X72)
| ~ m1_fraenkel(X72,X70,X71) )
& ( v1_fraenkel(X72)
| ~ m1_fraenkel(X72,X70,X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).
cnf(c_0_111,negated_conjecture,
( u1_struct_0(esk1_0) = esk16_0
| k6_autgroup(esk1_0,k2_group_1(esk1_0)) != k6_partfun1(u1_struct_0(esk1_0))
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_112,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(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_105]) ).
cnf(c_0_113,negated_conjecture,
( v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ r2_hidden(k6_autgroup(esk1_0,esk2_0),k1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_75]),c_0_92]),c_0_82]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_114,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(k1_autgroup(esk1_0))
| r2_hidden(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_115,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]) ).
cnf(c_0_116,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( u1_struct_0(esk1_0) = esk16_0
| ~ v2_funct_1(k6_autgroup(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(spm,[status(thm)],[c_0_111,c_0_112]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
cnf(c_0_118,negated_conjecture,
( v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| v1_xboole_0(k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
fof(c_0_119,plain,
! [X102] :
( v3_struct_0(X102)
| ~ l1_struct_0(X102)
| ~ v1_xboole_0(u1_struct_0(X102)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])]) ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_43]) ).
cnf(c_0_121,negated_conjecture,
( u1_struct_0(esk1_0) = esk16_0
| v1_xboole_0(k1_autgroup(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_104]) ).
cnf(c_0_122,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,negated_conjecture,
u1_struct_0(esk1_0) = esk16_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_120,c_0_121]),c_0_31]),c_0_32]),c_0_33]),c_0_40])]),c_0_34]) ).
fof(c_0_124,plain,
! [X69] :
( ~ l1_group_1(X69)
| l1_struct_0(X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
cnf(c_0_125,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_57])]),c_0_34]) ).
cnf(c_0_126,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP630+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Tue Aug 29 01:18:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 1.99/2.03 % Version : CSE_E---1.5
% 1.99/2.03 % Problem : theBenchmark.p
% 1.99/2.03 % Proof found
% 1.99/2.03 % SZS status Theorem for theBenchmark.p
% 1.99/2.03 % SZS output start Proof
% See solution above
% 1.99/2.04 % Total time : 1.465000 s
% 1.99/2.04 % SZS output end Proof
% 1.99/2.04 % Total time : 1.471000 s
%------------------------------------------------------------------------------