TSTP Solution File: GRP621+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : 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 00:21:54 EDT 2023
% Result : Theorem 157.76s 157.99s
% Output : CNFRefutation 157.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 79
% Syntax : Number of formulae : 197 ( 40 unt; 61 typ; 0 def)
% Number of atoms : 1125 ( 38 equ)
% Maximal formula atoms : 231 ( 8 avg)
% Number of connectives : 1612 ( 623 ~; 688 |; 243 &)
% ( 9 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 44 >; 43 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-4 aty)
% Number of functors : 37 ( 37 usr; 17 con; 0-5 aty)
% Number of variables : 259 ( 4 sgn; 150 !; 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,
u1_struct_0: $i > $i ).
tff(decl_28,type,
k1_autgroup: $i > $i ).
tff(decl_29,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
u1_group_1: $i > $i ).
tff(decl_32,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_33,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_fraenkel: $i > $o ).
tff(decl_35,type,
m1_subset_1: ( $i * $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,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_44,type,
k1_zfmisc_1: $i > $i ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
v3_group_6: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_51,type,
k8_group_6: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
l1_struct_0: $i > $o ).
tff(decl_53,type,
k1_xboole_0: $i ).
tff(decl_54,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_55,type,
v4_group_6: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
esk1_0: $i ).
tff(decl_57,type,
esk2_0: $i ).
tff(decl_58,type,
esk3_0: $i ).
tff(decl_59,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk6_0: $i ).
tff(decl_62,type,
esk7_0: $i ).
tff(decl_63,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk10_1: $i > $i ).
tff(decl_66,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk13_0: $i ).
tff(decl_69,type,
esk14_0: $i ).
tff(decl_70,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk16_0: $i ).
tff(decl_72,type,
esk17_0: $i ).
tff(decl_73,type,
esk18_0: $i ).
tff(decl_74,type,
esk19_0: $i ).
tff(decl_75,type,
esk20_0: $i ).
tff(decl_76,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk23_0: $i ).
tff(decl_79,type,
esk24_0: $i ).
tff(decl_80,type,
esk25_0: $i ).
tff(decl_81,type,
esk26_0: $i ).
tff(decl_82,type,
esk27_1: $i > $i ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(t8_autgroup,conjecture,
! [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))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(dt_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) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(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/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(redefinition_k8_group_6,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k8_group_6(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_group_6) ).
fof(t5_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_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(dt_k8_group_6,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( v1_funct_1(k8_group_6(X1,X2,X3,X4,X5))
& v1_funct_2(k8_group_6(X1,X2,X3,X4,X5),u1_struct_0(X1),u1_struct_0(X3))
& v1_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k8_group_6(X1,X2,X3,X4,X5),u1_struct_0(X1),u1_struct_0(X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_6) ).
fof(t74_group_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v4_group_6(X4,X1,X2)
& v4_group_6(X5,X2,X3) )
=> v4_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_group_6) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(c_0_19,plain,
! [X108] :
( ( m1_subset_1(esk27_1(X108),k1_zfmisc_1(u1_struct_0(X108)))
| v3_struct_0(X108)
| ~ l1_struct_0(X108) )
& ( ~ v1_xboole_0(esk27_1(X108))
| v3_struct_0(X108)
| ~ l1_struct_0(X108) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_20,plain,
! [X50] :
( ~ l1_group_1(X50)
| l1_struct_0(X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_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] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_autgroup])]) ).
cnf(c_0_22,plain,
( m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[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)
& m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
& m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
& ~ m2_fraenkel(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_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,
! [X139,X140,X141] :
( ~ r2_hidden(X139,X140)
| ~ m1_subset_1(X140,k1_zfmisc_1(X141))
| ~ v1_xboole_0(X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_28,plain,
( m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X130,X131] :
( ~ m1_subset_1(X130,X131)
| v1_xboole_0(X131)
| r2_hidden(X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_32,plain,
! [X70] : m1_subset_1(esk10_1(X70),X70),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_33,plain,
! [X29,X30,X31,X32] :
( ( v1_funct_1(X31)
| ~ m2_fraenkel(X31,u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_funct_2(X31,u1_struct_0(X29),u1_struct_0(X29))
| ~ m2_fraenkel(X31,u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_group_6(X31,X29,X29)
| ~ m2_fraenkel(X31,u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( m2_relset_1(X31,u1_struct_0(X29),u1_struct_0(X29))
| ~ m2_fraenkel(X31,u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v2_funct_1(X32)
| ~ r2_hidden(X32,X30)
| ~ v1_funct_1(X32)
| ~ v1_funct_2(X32,u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(X32,X29,X29)
| ~ m2_relset_1(X32,u1_struct_0(X29),u1_struct_0(X29))
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v3_group_6(X32,X29,X29)
| ~ r2_hidden(X32,X30)
| ~ v1_funct_1(X32)
| ~ v1_funct_2(X32,u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(X32,X29,X29)
| ~ m2_relset_1(X32,u1_struct_0(X29),u1_struct_0(X29))
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( ~ v2_funct_1(X32)
| ~ v3_group_6(X32,X29,X29)
| r2_hidden(X32,X30)
| ~ v1_funct_1(X32)
| ~ v1_funct_2(X32,u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(X32,X29,X29)
| ~ m2_relset_1(X32,u1_struct_0(X29),u1_struct_0(X29))
| X30 != k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_funct_1(esk5_2(X29,X30))
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_funct_2(esk5_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_group_6(esk5_2(X29,X30),X29,X29)
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( m2_relset_1(esk5_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( ~ r2_hidden(esk5_2(X29,X30),X30)
| ~ v2_funct_1(esk5_2(X29,X30))
| ~ v3_group_6(esk5_2(X29,X30),X29,X29)
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v2_funct_1(esk5_2(X29,X30))
| r2_hidden(esk5_2(X29,X30),X30)
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v3_group_6(esk5_2(X29,X30),X29,X29)
| r2_hidden(esk5_2(X29,X30),X30)
| m2_fraenkel(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29),X30)
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_funct_1(esk5_2(X29,X30))
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_funct_2(esk5_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v1_group_6(esk5_2(X29,X30),X29,X29)
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( m2_relset_1(esk5_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( ~ r2_hidden(esk5_2(X29,X30),X30)
| ~ v2_funct_1(esk5_2(X29,X30))
| ~ v3_group_6(esk5_2(X29,X30),X29,X29)
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v2_funct_1(esk5_2(X29,X30))
| r2_hidden(esk5_2(X29,X30),X30)
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) )
& ( v3_group_6(esk5_2(X29,X30),X29,X29)
| r2_hidden(esk5_2(X29,X30),X30)
| ~ v1_funct_1(esk4_2(X29,X30))
| ~ v1_funct_2(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| ~ v1_group_6(esk4_2(X29,X30),X29,X29)
| ~ m2_relset_1(esk4_2(X29,X30),u1_struct_0(X29),u1_struct_0(X29))
| X30 = k1_autgroup(X29)
| ~ m1_fraenkel(X30,u1_struct_0(X29),u1_struct_0(X29))
| v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29) ) ),
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_34,plain,
! [X37] :
( v3_struct_0(X37)
| ~ v1_group_1(X37)
| ~ v3_group_1(X37)
| ~ v4_group_1(X37)
| ~ l1_group_1(X37)
| m1_fraenkel(k1_autgroup(X37),u1_struct_0(X37),u1_struct_0(X37)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_35,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk27_1(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_37,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,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_33]) ).
cnf(c_0_40,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_34]) ).
cnf(c_0_41,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk27_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( v1_xboole_0(X1)
| r2_hidden(esk10_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_43,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_44,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_45,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) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
cnf(c_0_46,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_33]) ).
cnf(c_0_47,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_33]) ).
fof(c_0_48,plain,
! [X124,X125,X126] :
( ( ~ m2_relset_1(X126,X124,X125)
| m1_relset_1(X126,X124,X125) )
& ( ~ m1_relset_1(X126,X124,X125)
| m2_relset_1(X126,X124,X125) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_49,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_39]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_52,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk27_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,negated_conjecture,
( v1_xboole_0(esk27_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_56,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]) ).
fof(c_0_57,plain,
! [X120,X121,X122,X123] :
( ( ~ m2_fraenkel(X123,X120,X121,X122)
| m1_subset_1(X123,X122)
| v1_xboole_0(X121)
| ~ m1_fraenkel(X122,X120,X121) )
& ( ~ m1_subset_1(X123,X122)
| m2_fraenkel(X123,X120,X121,X122)
| v1_xboole_0(X121)
| ~ m1_fraenkel(X122,X120,X121) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
fof(c_0_58,plain,
! [X51,X52,X53] :
( ( ~ v1_xboole_0(X53)
| ~ m1_fraenkel(X53,X51,X52) )
& ( v1_fraenkel(X53)
| ~ m1_fraenkel(X53,X51,X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_59,plain,
! [X40,X41,X42,X43,X44] :
( ( v1_funct_1(k7_funct_2(X40,X41,X42,X43,X44))
| v1_xboole_0(X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,X40,X41)
| ~ m1_relset_1(X43,X40,X41)
| ~ v1_funct_1(X44)
| ~ v1_funct_2(X44,X41,X42)
| ~ m1_relset_1(X44,X41,X42) )
& ( v1_funct_2(k7_funct_2(X40,X41,X42,X43,X44),X40,X42)
| v1_xboole_0(X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,X40,X41)
| ~ m1_relset_1(X43,X40,X41)
| ~ v1_funct_1(X44)
| ~ v1_funct_2(X44,X41,X42)
| ~ m1_relset_1(X44,X41,X42) )
& ( m2_relset_1(k7_funct_2(X40,X41,X42,X43,X44),X40,X42)
| v1_xboole_0(X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,X40,X41)
| ~ m1_relset_1(X43,X40,X41)
| ~ v1_funct_1(X44)
| ~ v1_funct_2(X44,X41,X42)
| ~ m1_relset_1(X44,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_60,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_46]),c_0_40]) ).
cnf(c_0_61,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_47]),c_0_40]) ).
cnf(c_0_62,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_63,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_64,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_30]) ).
fof(c_0_65,plain,
! [X110,X111,X112,X113,X114] :
( v1_xboole_0(X111)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,X110,X111)
| ~ m1_relset_1(X113,X110,X111)
| ~ v1_funct_1(X114)
| ~ v1_funct_2(X114,X111,X112)
| ~ m1_relset_1(X114,X111,X112)
| k7_funct_2(X110,X111,X112,X113,X114) = k5_relat_1(X113,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_66,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k8_group_6(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_group_6]) ).
cnf(c_0_67,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_33]) ).
fof(c_0_68,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t5_autgroup]) ).
cnf(c_0_69,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_57]) ).
cnf(c_0_70,negated_conjecture,
m1_fraenkel(k1_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_40,c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_71,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_72,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( v1_funct_1(k8_group_6(X1,X2,X3,X4,X5))
& v1_funct_2(k8_group_6(X1,X2,X3,X4,X5),u1_struct_0(X1),u1_struct_0(X3))
& v1_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k8_group_6(X1,X2,X3,X4,X5),u1_struct_0(X1),u1_struct_0(X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_group_6]) ).
cnf(c_0_73,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| 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) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_50]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_75,negated_conjecture,
v1_funct_1(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_61,c_0_50]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_76,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_77,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_23]),c_0_29])]) ).
cnf(c_0_78,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_65]) ).
cnf(c_0_79,negated_conjecture,
m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_80,plain,
! [X115,X116,X117,X118,X119] :
( v3_struct_0(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115)
| v3_struct_0(X116)
| ~ v3_group_1(X116)
| ~ v4_group_1(X116)
| ~ l1_group_1(X116)
| v3_struct_0(X117)
| ~ v3_group_1(X117)
| ~ v4_group_1(X117)
| ~ l1_group_1(X117)
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,u1_struct_0(X115),u1_struct_0(X116))
| ~ v1_group_6(X118,X115,X116)
| ~ m1_relset_1(X118,u1_struct_0(X115),u1_struct_0(X116))
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X116),u1_struct_0(X117))
| ~ v1_group_6(X119,X116,X117)
| ~ m1_relset_1(X119,u1_struct_0(X116),u1_struct_0(X117))
| k8_group_6(X115,X116,X117,X118,X119) = k5_relat_1(X118,X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
cnf(c_0_81,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_67]),c_0_40]) ).
fof(c_0_82,plain,
! [X137,X138] :
( ( ~ r2_hidden(X138,k1_autgroup(X137))
| v4_group_6(X138,X137,X137)
| ~ v1_funct_1(X138)
| ~ v1_funct_2(X138,u1_struct_0(X137),u1_struct_0(X137))
| ~ v1_group_6(X138,X137,X137)
| ~ m2_relset_1(X138,u1_struct_0(X137),u1_struct_0(X137))
| v3_struct_0(X137)
| ~ v1_group_1(X137)
| ~ v3_group_1(X137)
| ~ v4_group_1(X137)
| ~ l1_group_1(X137) )
& ( ~ v4_group_6(X138,X137,X137)
| r2_hidden(X138,k1_autgroup(X137))
| ~ v1_funct_1(X138)
| ~ v1_funct_2(X138,u1_struct_0(X137),u1_struct_0(X137))
| ~ v1_group_6(X138,X137,X137)
| ~ m2_relset_1(X138,u1_struct_0(X137),u1_struct_0(X137))
| v3_struct_0(X137)
| ~ v1_group_1(X137)
| ~ v3_group_1(X137)
| ~ v4_group_1(X137)
| ~ l1_group_1(X137) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk2_0,k1_autgroup(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_50]),c_0_70])]) ).
cnf(c_0_84,negated_conjecture,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
fof(c_0_85,plain,
! [X45,X46,X47,X48,X49] :
( ( v1_funct_1(k8_group_6(X45,X46,X47,X48,X49))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45)
| v3_struct_0(X46)
| ~ v3_group_1(X46)
| ~ v4_group_1(X46)
| ~ l1_group_1(X46)
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_group_6(X48,X45,X46)
| ~ m1_relset_1(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X46),u1_struct_0(X47))
| ~ v1_group_6(X49,X46,X47)
| ~ m1_relset_1(X49,u1_struct_0(X46),u1_struct_0(X47)) )
& ( v1_funct_2(k8_group_6(X45,X46,X47,X48,X49),u1_struct_0(X45),u1_struct_0(X47))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45)
| v3_struct_0(X46)
| ~ v3_group_1(X46)
| ~ v4_group_1(X46)
| ~ l1_group_1(X46)
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_group_6(X48,X45,X46)
| ~ m1_relset_1(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X46),u1_struct_0(X47))
| ~ v1_group_6(X49,X46,X47)
| ~ m1_relset_1(X49,u1_struct_0(X46),u1_struct_0(X47)) )
& ( v1_group_6(k8_group_6(X45,X46,X47,X48,X49),X45,X47)
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45)
| v3_struct_0(X46)
| ~ v3_group_1(X46)
| ~ v4_group_1(X46)
| ~ l1_group_1(X46)
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_group_6(X48,X45,X46)
| ~ m1_relset_1(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X46),u1_struct_0(X47))
| ~ v1_group_6(X49,X46,X47)
| ~ m1_relset_1(X49,u1_struct_0(X46),u1_struct_0(X47)) )
& ( m2_relset_1(k8_group_6(X45,X46,X47,X48,X49),u1_struct_0(X45),u1_struct_0(X47))
| v3_struct_0(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45)
| v3_struct_0(X46)
| ~ v3_group_1(X46)
| ~ v4_group_1(X46)
| ~ l1_group_1(X46)
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47)
| ~ v1_funct_1(X48)
| ~ v1_funct_2(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_group_6(X48,X45,X46)
| ~ m1_relset_1(X48,u1_struct_0(X45),u1_struct_0(X46))
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X46),u1_struct_0(X47))
| ~ v1_group_6(X49,X46,X47)
| ~ m1_relset_1(X49,u1_struct_0(X46),u1_struct_0(X47)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
cnf(c_0_86,negated_conjecture,
( v1_funct_2(k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,esk2_0),X1,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]),c_0_76])]),c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,esk2_0) = k5_relat_1(X2,esk2_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_75])]),c_0_76])]),c_0_77]) ).
cnf(c_0_88,negated_conjecture,
m2_relset_1(esk3_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_49,c_0_79]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_89,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| k8_group_6(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X5,X2,X3)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_90,negated_conjecture,
v1_group_6(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_81,c_0_50]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_group_6(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v4_group_6(X4,X1,X2)
& v4_group_6(X5,X2,X3) )
=> v4_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t74_group_6]) ).
cnf(c_0_92,plain,
( v4_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_autgroup(X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,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_82]) ).
cnf(c_0_93,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_83]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk3_0,k1_autgroup(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_70])]) ).
cnf(c_0_95,plain,
( m2_relset_1(k8_group_6(X1,X2,X3,X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X5,X2,X3)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,plain,
( v1_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X5,X2,X3)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,negated_conjecture,
( v1_funct_2(k5_relat_1(X1,esk2_0),X2,u1_struct_0(esk1_0))
| ~ v1_funct_2(X1,X2,u1_struct_0(esk1_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk1_0))
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
v1_funct_2(esk3_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_60,c_0_79]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_99,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
v1_funct_1(esk3_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_61,c_0_79]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_101,negated_conjecture,
( k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0) = k5_relat_1(X2,esk2_0)
| v3_struct_0(X1)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_74]),c_0_90]),c_0_75]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]),c_0_76])]) ).
cnf(c_0_102,negated_conjecture,
v1_group_6(esk3_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_81,c_0_79]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_103,plain,
( v1_funct_1(k8_group_6(X1,X2,X3,X4,X5))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X5,X2,X3)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_104,plain,
! [X143,X144,X145,X146,X147] :
( v3_struct_0(X143)
| ~ v3_group_1(X143)
| ~ v4_group_1(X143)
| ~ l1_group_1(X143)
| v3_struct_0(X144)
| ~ v3_group_1(X144)
| ~ v4_group_1(X144)
| ~ l1_group_1(X144)
| v3_struct_0(X145)
| ~ v3_group_1(X145)
| ~ v4_group_1(X145)
| ~ l1_group_1(X145)
| ~ v1_funct_1(X146)
| ~ v1_funct_2(X146,u1_struct_0(X143),u1_struct_0(X144))
| ~ v1_group_6(X146,X143,X144)
| ~ m2_relset_1(X146,u1_struct_0(X143),u1_struct_0(X144))
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X144),u1_struct_0(X145))
| ~ v1_group_6(X147,X144,X145)
| ~ m2_relset_1(X147,u1_struct_0(X144),u1_struct_0(X145))
| ~ v4_group_6(X146,X143,X144)
| ~ v4_group_6(X147,X144,X145)
| v4_group_6(k8_group_6(X143,X144,X145,X146,X147),X143,X145) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
cnf(c_0_105,negated_conjecture,
( v4_group_6(esk2_0,esk1_0,esk1_0)
| ~ r2_hidden(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_92,c_0_63]),c_0_90]),c_0_74]),c_0_75]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_106,negated_conjecture,
r2_hidden(esk2_0,k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[c_0_93,c_0_77]) ).
cnf(c_0_107,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk3_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_94]),c_0_84]) ).
cnf(c_0_108,negated_conjecture,
( m2_relset_1(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),u1_struct_0(X1),u1_struct_0(esk1_0))
| v3_struct_0(X1)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_74]),c_0_90]),c_0_75]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]),c_0_76])]) ).
cnf(c_0_109,negated_conjecture,
( v1_group_6(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),X1,esk1_0)
| v3_struct_0(X1)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_74]),c_0_90]),c_0_75]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]),c_0_76])]) ).
cnf(c_0_110,negated_conjecture,
v1_funct_2(k5_relat_1(esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100])]) ).
cnf(c_0_111,negated_conjecture,
k5_relat_1(esk3_0,esk2_0) = k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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_101,c_0_98]),c_0_102]),c_0_99]),c_0_100]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]) ).
cnf(c_0_112,negated_conjecture,
( v1_funct_1(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0))
| v3_struct_0(X1)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_74]),c_0_90]),c_0_75]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]),c_0_76])]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v4_group_6(k8_group_6(X1,X2,X3,X4,X5),X1,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X5,X2,X3)
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_group_6(X4,X1,X2)
| ~ v4_group_6(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_114,negated_conjecture,
v4_group_6(esk2_0,esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_115,negated_conjecture,
( v4_group_6(esk3_0,esk1_0,esk1_0)
| ~ r2_hidden(esk3_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_92,c_0_88]),c_0_102]),c_0_98]),c_0_100]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_116,negated_conjecture,
r2_hidden(esk3_0,k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[c_0_107,c_0_77]) ).
cnf(c_0_117,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_57]) ).
fof(c_0_118,plain,
! [X128,X129] :
( ~ r2_hidden(X128,X129)
| m1_subset_1(X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_119,plain,
( r2_hidden(X1,k1_autgroup(X2))
| v3_struct_0(X2)
| ~ v4_group_6(X1,X2,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,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_82]) ).
cnf(c_0_120,negated_conjecture,
m2_relset_1(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_98]),c_0_102]),c_0_99]),c_0_100]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]) ).
cnf(c_0_121,negated_conjecture,
v1_group_6(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_98]),c_0_102]),c_0_99]),c_0_100]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]) ).
cnf(c_0_122,negated_conjecture,
v1_funct_2(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_123,negated_conjecture,
v1_funct_1(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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_112,c_0_98]),c_0_102]),c_0_99]),c_0_100]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]) ).
cnf(c_0_124,negated_conjecture,
( v4_group_6(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),X1,esk1_0)
| v3_struct_0(X1)
| ~ v4_group_6(X2,X1,esk1_0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_group_6(X2,X1,esk1_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_63]),c_0_90]),c_0_74]),c_0_75]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]),c_0_114])]) ).
cnf(c_0_125,negated_conjecture,
v4_group_6(esk3_0,esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_126,negated_conjecture,
~ m2_fraenkel(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_127,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_70]) ).
cnf(c_0_128,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_129,negated_conjecture,
( r2_hidden(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_0,esk2_0),k1_autgroup(esk1_0))
| ~ v4_group_6(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]),c_0_123]),c_0_29]),c_0_51]),c_0_52]),c_0_53])]),c_0_30]) ).
cnf(c_0_130,negated_conjecture,
v4_group_6(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_88]),c_0_125]),c_0_102]),c_0_98]),c_0_100]),c_0_29]),c_0_51]),c_0_52])]),c_0_30]) ).
cnf(c_0_131,negated_conjecture,
~ m2_fraenkel(k5_relat_1(esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_87]),c_0_98]),c_0_99]),c_0_100])]) ).
cnf(c_0_132,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ r2_hidden(X1,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
r2_hidden(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_0,esk2_0),k1_autgroup(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_134,negated_conjecture,
~ m2_fraenkel(k8_group_6(esk1_0,esk1_0,esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(rw,[status(thm)],[c_0_131,c_0_111]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_77]),c_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n004.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 22:15:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 157.76/157.99 % Version : CSE_E---1.5
% 157.76/157.99 % Problem : theBenchmark.p
% 157.76/157.99 % Proof found
% 157.76/157.99 % SZS status Theorem for theBenchmark.p
% 157.76/157.99 % SZS output start Proof
% See solution above
% 157.76/158.01 % Total time : 157.291000 s
% 157.76/158.01 % SZS output end Proof
% 157.76/158.01 % Total time : 157.303000 s
%------------------------------------------------------------------------------