TSTP Solution File: GRP620+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 09:02:26 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 18 unt; 0 def)
% Number of atoms : 647 ( 32 equ)
% Maximal formula atoms : 231 ( 8 avg)
% Number of connectives : 968 ( 400 ~; 454 |; 86 &)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 3 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_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))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_autgroup) ).
fof(d1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_autgroup) ).
fof(t73_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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_group_6(X3,X2,X1)
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [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)) )
=> ( ( v4_group_6(X3,X2,X1)
& X4 = k2_funct_1(X3) )
=> v4_group_6(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t73_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_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(t6_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))
=> ( v1_funct_1(k2_funct_1(X2))
& v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(k2_funct_1(X2),X1,X1)
& m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_autgroup) ).
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(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(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
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(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(c_0_12,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))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(assume_negation,[status(cth)],[t7_autgroup]) ).
fof(c_0_13,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])])])])])])])]) ).
fof(c_0_14,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(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_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_12])])])])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| v3_struct_0(X6)
| ~ v3_group_1(X6)
| ~ v4_group_1(X6)
| ~ l1_group_1(X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v1_group_6(X7,X6,X5)
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v1_group_6(X8,X5,X6)
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v4_group_6(X7,X6,X5)
| X8 != k2_funct_1(X7)
| v4_group_6(X8,X5,X6) ),
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)],[t73_group_6])])])])])]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ( ~ r2_hidden(X4,k1_autgroup(X3))
| v4_group_6(X4,X3,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_6(X4,X3,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) )
& ( ~ v4_group_6(X4,X3,X3)
| r2_hidden(X4,k1_autgroup(X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_6(X4,X3,X3)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(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)],[t5_autgroup])])])])])])]) ).
cnf(c_0_17,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_13]) ).
cnf(c_0_18,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_14]) ).
cnf(c_0_19,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_24,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_25,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_13]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| v1_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_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,plain,
( v4_group_6(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k2_funct_1(X4)
| ~ v4_group_6(X4,X3,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_group_6(X4,X3,X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ r2_hidden(X2,k1_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,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_13]) ).
cnf(c_0_30,negated_conjecture,
( m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_31,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_24]) ).
cnf(c_0_32,negated_conjecture,
( v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( v1_funct_1(esk2_0)
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_34,plain,
( v4_group_6(X1,X2,X2)
| v3_struct_0(X2)
| X1 != k2_funct_1(X3)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X3,X2,X2)
| ~ v1_group_6(X1,X2,X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X3,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_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( v1_group_6(esk2_0,esk1_0,esk1_0)
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_36,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_30,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_37,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_32,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_38,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_33,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
fof(c_0_39,plain,
! [X3,X4] :
( ( v1_funct_1(k2_funct_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) )
& ( v1_funct_2(k2_funct_1(X4),u1_struct_0(X3),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) )
& ( v1_group_6(k2_funct_1(X4),X3,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) )
& ( m2_relset_1(k2_funct_1(X4),u1_struct_0(X3),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)],[t6_autgroup])])])])])])]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v4_group_6(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_41,negated_conjecture,
( v4_group_6(X1,esk1_0,esk1_0)
| X1 != k2_funct_1(esk2_0)
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_group_6(X1,esk1_0,esk1_0)
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(X1)
| ~ 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_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,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_39]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),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_39]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),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_39]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_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_39]) ).
cnf(c_0_46,negated_conjecture,
( r2_hidden(X1,k1_autgroup(esk1_0))
| X1 != k2_funct_1(esk2_0)
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_group_6(X1,esk1_0,esk1_0)
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(X1)
| ~ 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(spm,[status(thm)],[c_0_40,c_0_41]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_47,negated_conjecture,
v1_group_6(k2_funct_1(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_42,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_48,negated_conjecture,
m2_relset_1(k2_funct_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_43,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_49,negated_conjecture,
v1_funct_2(k2_funct_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_44,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_50,negated_conjecture,
v1_funct_1(k2_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_45,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
fof(c_0_51,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])])])]) ).
fof(c_0_52,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_53,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_54,negated_conjecture,
( r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ r2_hidden(esk2_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_46,c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_55,plain,
( ~ m1_fraenkel(X1,X2,X3)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_57,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_52]) ).
cnf(c_0_58,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( r2_hidden(k2_funct_1(esk2_0),k1_autgroup(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(spm,[status(thm)],[c_0_54,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
fof(c_0_60,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_61,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_55,c_0_31]) ).
cnf(c_0_62,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_52]) ).
fof(c_0_63,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])])]) ).
cnf(c_0_64,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| ~ r2_hidden(esk2_0,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
~ v1_xboole_0(k1_autgroup(esk1_0)),
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_23,c_0_61]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_68,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk2_0,k1_autgroup(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_18]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_71,negated_conjecture,
( m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| ~ m1_subset_1(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_31]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_73,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
fof(c_0_75,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_76,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_77,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.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 : Mon Jun 13 15:53:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.022 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 79
% 0.22/1.41 # Proof object clause steps : 54
% 0.22/1.41 # Proof object formula steps : 25
% 0.22/1.41 # Proof object conjectures : 36
% 0.22/1.41 # Proof object clause conjectures : 33
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 26
% 0.22/1.41 # Proof object initial formulas used : 12
% 0.22/1.41 # Proof object generating inferences : 27
% 0.22/1.41 # Proof object simplifying inferences : 114
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 69
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 154
% 0.22/1.41 # Removed in clause preprocessing : 15
% 0.22/1.41 # Initial clauses in saturation : 139
% 0.22/1.41 # Processed clauses : 1525
% 0.22/1.41 # ...of these trivial : 20
% 0.22/1.41 # ...subsumed : 670
% 0.22/1.41 # ...remaining for further processing : 835
% 0.22/1.41 # Other redundant clauses eliminated : 15
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 87
% 0.22/1.41 # Backward-rewritten : 40
% 0.22/1.41 # Generated clauses : 5998
% 0.22/1.41 # ...of the previous two non-trivial : 5041
% 0.22/1.41 # Contextual simplify-reflections : 828
% 0.22/1.41 # Paramodulations : 5914
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 44
% 0.22/1.41 # Current number of processed clauses : 688
% 0.22/1.41 # Positive orientable unit clauses : 85
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 20
% 0.22/1.41 # Non-unit-clauses : 583
% 0.22/1.41 # Current number of unprocessed clauses: 2764
% 0.22/1.41 # ...number of literals in the above : 26323
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 127
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 332618
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 48384
% 0.22/1.41 # Non-unit clause-clause subsumptions : 1600
% 0.22/1.41 # Unit Clause-clause subsumption calls : 4271
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 12
% 0.22/1.41 # BW rewrite match successes : 12
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 197792
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.246 s
% 0.22/1.41 # System time : 0.006 s
% 0.22/1.41 # Total time : 0.252 s
% 0.22/1.41 # Maximum resident set size: 8216 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------