TSTP Solution File: GRP630+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP630+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 09:02:34 EDT 2022
% Result : Theorem 0.47s 32.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 135 ( 11 unt; 0 def)
% Number of atoms : 1004 ( 107 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 1482 ( 613 ~; 705 |; 124 &)
% ( 4 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 4 con; 0-6 aty)
% Number of variables : 280 ( 7 sgn 122 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_u1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> ( v1_funct_1(u1_group_1(X1))
& v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_group_1) ).
fof(fc1_group_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ( ~ v3_struct_0(g1_group_1(X1,X2))
& v1_group_1(g1_group_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_group_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_partfun1) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_autgroup) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_fraenkel) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_group_1) ).
fof(abstractness_v1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> ( v1_group_1(X1)
=> X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v1_group_1) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t36_funct_2) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_autgroup) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_autgroup) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k1_partfun1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_boole) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t27_autgroup) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_group_1) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_fraenkel) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l9_autgroup) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t28_autgroup) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t24_autgroup) ).
fof(c_0_26,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_27,plain,
! [X2] :
( ( v1_funct_1(u1_group_1(X2))
| ~ l1_group_1(X2) )
& ( v1_funct_2(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_group_1(X2) )
& ( m2_relset_1(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_group_1])])]) ).
fof(c_0_28,plain,
! [X3,X4] :
( ( ~ v3_struct_0(g1_group_1(X3,X4))
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) )
& ( v1_group_1(g1_group_1(X3,X4))
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_group_1])])])]) ).
cnf(c_0_29,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_32,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_33,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
| m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t13_autgroup])])])])])]) ).
fof(c_0_34,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m2_fraenkel(k6_autgroup(X3,X4),u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_autgroup])])]) ).
fof(c_0_35,plain,
! [X5,X6,X7,X8] :
( ( v1_funct_1(X8)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( v1_funct_2(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( m2_relset_1(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_fraenkel])])])])])])]) ).
fof(c_0_36,plain,
! [X5,X6,X7,X8,X8] :
( ( ~ m2_fraenkel(X8,X5,X6,X7)
| m1_subset_1(X8,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( ~ m1_subset_1(X8,X7)
| m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel])])])])])])]) ).
fof(c_0_37,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_38,plain,
! [X2] :
( ~ l1_group_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
cnf(c_0_39,plain,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_41,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_43,plain,
! [X2] :
( ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| X2 = g1_group_1(u1_struct_0(X2),u1_group_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_group_1])]) ).
fof(c_0_44,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m2_relset_1(X7,X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,X6,X5)
| ~ m2_relset_1(X8,X6,X5)
| k2_relat_1(X7) != X6
| k1_partfun1(X5,X6,X6,X5,X7,X8) != k6_partfun1(X5)
| ~ v2_funct_1(X7)
| X5 = k1_xboole_0
| X6 = k1_xboole_0
| X8 = k2_funct_1(X7) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_funct_2])])])])]) ).
cnf(c_0_45,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_46,plain,
v1_xboole_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_47,plain,
! [X4,X5,X6,X7] :
( ( v1_funct_1(X6)
| ~ m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X4))
| ~ m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_6(X6,X4,X4)
| ~ m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X4))
| ~ m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v2_funct_1(X7)
| ~ r2_hidden(X7,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(X7,X4,X4)
| ~ m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v3_group_6(X7,X4,X4)
| ~ r2_hidden(X7,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(X7,X4,X4)
| ~ m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ v2_funct_1(X7)
| ~ v3_group_6(X7,X4,X4)
| r2_hidden(X7,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(X7,X4,X4)
| ~ m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))
| X5 != k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_funct_1(esk4_2(X4,X5))
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_funct_2(esk4_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_6(esk4_2(X4,X5),X4,X4)
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m2_relset_1(esk4_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r2_hidden(esk4_2(X4,X5),X5)
| ~ v2_funct_1(esk4_2(X4,X5))
| ~ v3_group_6(esk4_2(X4,X5),X4,X4)
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v2_funct_1(esk4_2(X4,X5))
| r2_hidden(esk4_2(X4,X5),X5)
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v3_group_6(esk4_2(X4,X5),X4,X4)
| r2_hidden(esk4_2(X4,X5),X5)
| m2_fraenkel(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_funct_1(esk4_2(X4,X5))
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_funct_2(esk4_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_6(esk4_2(X4,X5),X4,X4)
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m2_relset_1(esk4_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r2_hidden(esk4_2(X4,X5),X5)
| ~ v2_funct_1(esk4_2(X4,X5))
| ~ v3_group_6(esk4_2(X4,X5),X4,X4)
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v2_funct_1(esk4_2(X4,X5))
| r2_hidden(esk4_2(X4,X5),X5)
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v3_group_6(esk4_2(X4,X5),X4,X4)
| r2_hidden(esk4_2(X4,X5),X5)
| ~ v1_funct_1(esk3_2(X4,X5))
| ~ v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| ~ v1_group_6(esk3_2(X4,X5),X4,X4)
| ~ m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))
| X5 = k1_autgroup(X4)
| ~ m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_autgroup])])])])])])])]) ).
cnf(c_0_48,plain,
( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_50,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_fraenkel(k1_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_autgroup])])]) ).
cnf(c_0_51,plain,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_52,plain,
( v1_xboole_0(X3)
| m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_53,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_fraenkel(k4_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_autgroup])])]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_struct_0(g1_group_1(u1_struct_0(X1),u1_group_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_57,plain,
( X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1))
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_58,plain,
( X1 = k2_funct_1(X2)
| X3 = k1_xboole_0
| X4 = k1_xboole_0
| ~ v2_funct_1(X2)
| k1_partfun1(X4,X3,X3,X4,X2,X1) != k6_partfun1(X4)
| k2_relat_1(X2) != X3
| ~ m2_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,X4,X3)
| ~ v1_funct_2(X2,X4,X3)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_59,plain,
k1_xboole_0 = esk16_0,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_60,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ v1_funct_1(X11)
| ~ m1_relset_1(X11,X7,X8)
| ~ v1_funct_1(X12)
| ~ m1_relset_1(X12,X9,X10)
| k1_partfun1(X7,X8,X9,X10,X11,X12) = k5_relat_1(X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_partfun1])]) ).
fof(c_0_61,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_62,plain,
! [X6,X7,X8,X9,X10] :
( v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8)
| k7_funct_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2])])]) ).
fof(c_0_63,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k7_funct_2(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3),k6_autgroup(X3,X4),k6_autgroup(X3,k3_group_1(X3,X4))) = k6_autgroup(X3,k2_group_1(X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t27_autgroup])])])])])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| X2 != k1_autgroup(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,plain,
( m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_66,plain,
( m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_67,plain,
( v1_xboole_0(X1)
| v1_funct_1(X2)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m1_subset_1(X2,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_68,plain,
( m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
( v1_xboole_0(X3)
| m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_71,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_72,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k1_partfun1(X3,X4,X4,X3,X2,X1) != k6_partfun1(X3)
| k2_relat_1(X2) != X4
| ~ m2_relset_1(X2,X3,X4)
| ~ m2_relset_1(X1,X4,X3)
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X1,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).
cnf(c_0_73,plain,
( k1_partfun1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ v1_funct_1(X6)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_74,plain,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_75,plain,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_76,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_77,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_78,plain,
( 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))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_79,plain,
( m2_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
fof(c_0_80,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k3_group_1(X3,X4),u1_struct_0(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_group_1])])]) ).
cnf(c_0_81,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_82,plain,
( v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(k6_autgroup(X1,X2),k4_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_49]),c_0_68]),c_0_71]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| X2 != k1_autgroup(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_84,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k5_relat_1(X2,X1) != k6_partfun1(X4)
| k2_relat_1(X2) != X3
| ~ m2_relset_1(X2,X4,X3)
| ~ m2_relset_1(X1,X3,X4)
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X4,X3)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_29]),c_0_29]) ).
cnf(c_0_85,plain,
( m2_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_49]),c_0_68]),c_0_71]) ).
cnf(c_0_86,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(k6_autgroup(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_68]),c_0_71]) ).
cnf(c_0_87,plain,
( v1_funct_2(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_49]),c_0_68]),c_0_71]) ).
cnf(c_0_88,plain,
( X1 = esk16_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_46]) ).
cnf(c_0_89,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ v1_funct_2(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k6_autgroup(X1,k3_group_1(X1,X2)))
| ~ v1_funct_1(k6_autgroup(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_71]) ).
cnf(c_0_90,plain,
( m1_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_79]) ).
cnf(c_0_91,plain,
( m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,plain,
( v1_funct_1(k6_autgroup(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_69]) ).
cnf(c_0_93,plain,
( v1_funct_2(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_65]),c_0_66]) ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| v1_group_6(X3,X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| X2 != k1_autgroup(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(X6)
| ~ m1_fraenkel(X6,X4,X5) )
& ( v1_fraenkel(X6)
| ~ m1_fraenkel(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_fraenkel])])])]) ).
cnf(c_0_96,plain,
( X1 = k2_funct_1(k6_autgroup(X2,X3))
| u1_struct_0(X2) = esk16_0
| k5_relat_1(k6_autgroup(X2,X3),X1) != k6_partfun1(u1_struct_0(X2))
| k2_relat_1(k6_autgroup(X2,X3)) != u1_struct_0(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v2_funct_1(k6_autgroup(X2,X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_97,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ v1_funct_2(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k6_autgroup(X1,k3_group_1(X1,X2)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_90]),c_0_93]),c_0_71]) ).
fof(c_0_98,plain,
! [X3,X4] :
( ( k1_relat_1(X4) = k2_relat_1(X4)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) )
& ( k1_relat_1(X4) = u1_struct_0(X3)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l9_autgroup])])])])])])]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| v2_funct_1(X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| X2 != k1_autgroup(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X3,X1,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_100,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_101,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ m1_subset_1(X1,X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_52]),c_0_69]) ).
cnf(c_0_102,plain,
( ~ m1_fraenkel(X1,X2,X3)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
fof(c_0_103,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(assume_negation,[status(cth)],[t28_autgroup]) ).
cnf(c_0_104,plain,
( k6_autgroup(X1,X2) = k2_funct_1(k6_autgroup(X1,X3))
| u1_struct_0(X1) = esk16_0
| k5_relat_1(k6_autgroup(X1,X3),k6_autgroup(X1,X2)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(k6_autgroup(X1,X3)) != u1_struct_0(X1)
| ~ v2_funct_1(k6_autgroup(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_85]),c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_105,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ v1_funct_1(k6_autgroup(X1,k3_group_1(X1,X2)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_93]),c_0_91]),c_0_71]) ).
cnf(c_0_106,plain,
( v3_struct_0(X1)
| k1_relat_1(X2) = k2_relat_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| k1_relat_1(X2) = u1_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_108,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k6_autgroup(X2,k2_group_1(X2)) = k6_partfun1(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t24_autgroup])])]) ).
cnf(c_0_109,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(spm,[status(thm)],[c_0_99,c_0_66]) ).
cnf(c_0_110,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_111,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(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(spm,[status(thm)],[c_0_67,c_0_66]),c_0_69]) ).
cnf(c_0_112,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_66]) ).
cnf(c_0_113,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_102,c_0_66]) ).
fof(c_0_114,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_103])])])])])]) ).
cnf(c_0_115,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| k6_autgroup(X1,k2_group_1(X1)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(k6_autgroup(X1,X2)) != u1_struct_0(X1)
| ~ v2_funct_1(k6_autgroup(X1,X2))
| ~ m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_86]),c_0_88]) ).
cnf(c_0_116,plain,
( k2_relat_1(k6_autgroup(X1,X2)) = k1_relat_1(k6_autgroup(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_65]) ).
cnf(c_0_117,plain,
( k1_relat_1(k6_autgroup(X1,X2)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_65]) ).
cnf(c_0_118,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
( u1_struct_0(X1) = esk16_0
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_71]) ).
cnf(c_0_120,plain,
( v2_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ m1_subset_1(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_121,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_114]) ).
cnf(c_0_122,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| ~ v2_funct_1(k6_autgroup(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_91]),c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_123,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_124,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_125,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_126,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_127,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_128,plain,
( v2_funct_1(k6_autgroup(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(k6_autgroup(X1,X2),k1_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_79]),c_0_93]) ).
cnf(c_0_129,plain,
( v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(k6_autgroup(X1,X2),k1_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_66]),c_0_71]) ).
cnf(c_0_130,negated_conjecture,
( u1_struct_0(esk1_0) = esk16_0
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127])]) ).
cnf(c_0_131,plain,
( v2_funct_1(k6_autgroup(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_69]) ).
cnf(c_0_132,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_133,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127])]),c_0_132]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_133]),c_0_46]),c_0_124])]),c_0_132]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP630+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 07:57:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/23.40 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.47/32.64 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.47/32.64
% 0.47/32.64 # Failure: Resource limit exceeded (time)
% 0.47/32.64 # OLD status Res
% 0.47/32.64 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.47/32.64 # Preprocessing time : 0.021 s
% 0.47/32.64 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.47/32.64 # Preprocessing time : 0.015 s
% 0.47/32.64
% 0.47/32.64 # Proof found!
% 0.47/32.64 # SZS status Theorem
% 0.47/32.64 # SZS output start CNFRefutation
% See solution above
% 0.47/32.64 # Proof object total steps : 135
% 0.47/32.64 # Proof object clause steps : 82
% 0.47/32.64 # Proof object formula steps : 53
% 0.47/32.64 # Proof object conjectures : 13
% 0.47/32.64 # Proof object clause conjectures : 10
% 0.47/32.64 # Proof object formula conjectures : 3
% 0.47/32.64 # Proof object initial clauses used : 41
% 0.47/32.64 # Proof object initial formulas used : 26
% 0.47/32.64 # Proof object generating inferences : 40
% 0.47/32.64 # Proof object simplifying inferences : 64
% 0.47/32.64 # Training examples: 0 positive, 0 negative
% 0.47/32.64 # Parsed axioms : 92
% 0.47/32.64 # Removed by relevancy pruning/SinE : 0
% 0.47/32.64 # Initial clauses : 204
% 0.47/32.64 # Removed in clause preprocessing : 25
% 0.47/32.64 # Initial clauses in saturation : 179
% 0.47/32.64 # Processed clauses : 16590
% 0.47/32.64 # ...of these trivial : 127
% 0.47/32.64 # ...subsumed : 11585
% 0.47/32.64 # ...remaining for further processing : 4878
% 0.47/32.64 # Other redundant clauses eliminated : 50
% 0.47/32.64 # Clauses deleted for lack of memory : 50360
% 0.47/32.64 # Backward-subsumed : 423
% 0.47/32.64 # Backward-rewritten : 509
% 0.47/32.64 # Generated clauses : 152106
% 0.47/32.64 # ...of the previous two non-trivial : 144275
% 0.47/32.64 # Contextual simplify-reflections : 19626
% 0.47/32.64 # Paramodulations : 151935
% 0.47/32.64 # Factorizations : 0
% 0.47/32.64 # Equation resolutions : 171
% 0.47/32.64 # Current number of processed clauses : 3946
% 0.47/32.64 # Positive orientable unit clauses : 534
% 0.47/32.64 # Positive unorientable unit clauses: 0
% 0.47/32.64 # Negative unit clauses : 9
% 0.47/32.64 # Non-unit-clauses : 3403
% 0.47/32.64 # Current number of unprocessed clauses: 56699
% 0.47/32.64 # ...number of literals in the above : 645500
% 0.47/32.64 # Current number of archived formulas : 0
% 0.47/32.64 # Current number of archived clauses : 933
% 0.47/32.64 # Clause-clause subsumption calls (NU) : 17740924
% 0.47/32.64 # Rec. Clause-clause subsumption calls : 1862020
% 0.47/32.64 # Non-unit clause-clause subsumptions : 31588
% 0.47/32.64 # Unit Clause-clause subsumption calls : 333008
% 0.47/32.64 # Rewrite failures with RHS unbound : 0
% 0.47/32.64 # BW rewrite match attempts : 3302
% 0.47/32.64 # BW rewrite match successes : 12
% 0.47/32.64 # Condensation attempts : 0
% 0.47/32.64 # Condensation successes : 0
% 0.47/32.64 # Termbank termtop insertions : 16449861
% 0.47/32.64
% 0.47/32.64 # -------------------------------------------------
% 0.47/32.64 # User time : 8.694 s
% 0.47/32.64 # System time : 0.103 s
% 0.47/32.64 # Total time : 8.797 s
% 0.47/32.64 # Maximum resident set size: 135324 pages
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.44 eprover: No such file or directory
% 0.47/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.44 eprover: No such file or directory
% 0.47/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.44 eprover: No such file or directory
% 0.47/46.44 eprover: CPU time limit exceeded, terminating
% 0.47/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.45 eprover: No such file or directory
% 0.47/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.45 eprover: No such file or directory
% 0.47/46.45 eprover: CPU time limit exceeded, terminating
% 0.47/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.45 eprover: No such file or directory
% 0.47/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.45 eprover: No such file or directory
% 0.47/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.46 eprover: No such file or directory
% 0.47/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.46 eprover: No such file or directory
% 0.47/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.46 eprover: No such file or directory
% 0.47/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.46 eprover: No such file or directory
% 0.47/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.47 eprover: No such file or directory
% 0.47/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.47 eprover: No such file or directory
% 0.47/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.47 eprover: No such file or directory
% 0.47/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.47/46.47 eprover: No such file or directory
% 0.47/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.47 eprover: No such file or directory
% 0.47/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.48 eprover: No such file or directory
% 0.47/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.48 eprover: No such file or directory
% 0.47/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.48 eprover: No such file or directory
% 0.47/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.48 eprover: No such file or directory
% 0.47/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.49 eprover: No such file or directory
% 0.47/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.49 eprover: No such file or directory
% 0.47/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.49 eprover: No such file or directory
% 0.47/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.49 eprover: No such file or directory
% 0.47/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.49 eprover: No such file or directory
% 0.47/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.50 eprover: No such file or directory
% 0.47/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.51 eprover: No such file or directory
% 0.47/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.51 eprover: No such file or directory
% 0.47/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.47/46.52 eprover: No such file or directory
%------------------------------------------------------------------------------