TSTP Solution File: GRP630+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP630+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:42:22 EDT 2023
% Result : Theorem 20.73s 3.09s
% Output : CNFRefutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 132 ( 33 unt; 0 def)
% Number of atoms : 854 ( 105 equ)
% Maximal formula atoms : 231 ( 6 avg)
% Number of connectives : 1171 ( 449 ~; 513 |; 155 &)
% ( 7 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-6 aty)
% Number of variables : 214 ( 2 sgn; 127 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',dt_k3_group_1) ).
fof(t28_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t28_autgroup) ).
fof(dt_k6_autgroup,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',dt_k6_autgroup) ).
fof(d1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',d1_autgroup) ).
fof(dt_k1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',dt_k1_autgroup) ).
fof(t13_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t13_autgroup) ).
fof(l9_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',l9_autgroup) ).
fof(t36_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X2,X1)
& m2_relset_1(X4,X2,X1) )
=> ( ( k2_relat_1(X3) = X2
& k1_partfun1(X1,X2,X2,X1,X3,X4) = k6_partfun1(X1)
& v2_funct_1(X3) )
=> ( X1 = k1_xboole_0
| X2 = k1_xboole_0
| X4 = k2_funct_1(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t36_funct_2) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',redefinition_k6_partfun1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t6_boole) ).
fof(rc1_partfun1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',rc1_partfun1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',redefinition_m2_relset_1) ).
fof(redefinition_k1_partfun1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( v1_funct_1(X5)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& m1_relset_1(X6,X3,X4) )
=> k1_partfun1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',redefinition_k1_partfun1) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',redefinition_k7_funct_2) ).
fof(t27_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t27_autgroup) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',redefinition_m2_fraenkel) ).
fof(t24_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t24_autgroup) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',t2_subset) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',dt_m1_fraenkel) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p',dt_l1_group_1) ).
fof(c_0_21,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_autgroup])]) ).
fof(c_0_23,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_autgroup]) ).
fof(c_0_24,plain,
! [X19,X20] :
( v3_struct_0(X19)
| ~ v3_group_1(X19)
| ~ v4_group_1(X19)
| ~ l1_group_1(X19)
| ~ m1_subset_1(X20,u1_struct_0(X19))
| m1_subset_1(k3_group_1(X19,X20),u1_struct_0(X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_25,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)) != k2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_autgroup]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_autgroup]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[t13_autgroup]) ).
fof(c_0_29,plain,
! [X14,X15] :
( v3_struct_0(X14)
| ~ v1_group_1(X14)
| ~ v3_group_1(X14)
| ~ v4_group_1(X14)
| ~ l1_group_1(X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| m2_fraenkel(k6_autgroup(X14,X15),u1_struct_0(X14),u1_struct_0(X14),k4_autgroup(X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X160,X161,X162,X163] :
( ( v1_funct_1(X162)
| ~ m2_fraenkel(X162,u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_funct_2(X162,u1_struct_0(X160),u1_struct_0(X160))
| ~ m2_fraenkel(X162,u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_group_6(X162,X160,X160)
| ~ m2_fraenkel(X162,u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( m2_relset_1(X162,u1_struct_0(X160),u1_struct_0(X160))
| ~ m2_fraenkel(X162,u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v2_funct_1(X163)
| ~ r2_hidden(X163,X161)
| ~ v1_funct_1(X163)
| ~ v1_funct_2(X163,u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(X163,X160,X160)
| ~ m2_relset_1(X163,u1_struct_0(X160),u1_struct_0(X160))
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v3_group_6(X163,X160,X160)
| ~ r2_hidden(X163,X161)
| ~ v1_funct_1(X163)
| ~ v1_funct_2(X163,u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(X163,X160,X160)
| ~ m2_relset_1(X163,u1_struct_0(X160),u1_struct_0(X160))
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( ~ v2_funct_1(X163)
| ~ v3_group_6(X163,X160,X160)
| r2_hidden(X163,X161)
| ~ v1_funct_1(X163)
| ~ v1_funct_2(X163,u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(X163,X160,X160)
| ~ m2_relset_1(X163,u1_struct_0(X160),u1_struct_0(X160))
| X161 != k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_funct_1(esk23_2(X160,X161))
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_funct_2(esk23_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_group_6(esk23_2(X160,X161),X160,X160)
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( m2_relset_1(esk23_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( ~ r2_hidden(esk23_2(X160,X161),X161)
| ~ v2_funct_1(esk23_2(X160,X161))
| ~ v3_group_6(esk23_2(X160,X161),X160,X160)
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v2_funct_1(esk23_2(X160,X161))
| r2_hidden(esk23_2(X160,X161),X161)
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v3_group_6(esk23_2(X160,X161),X160,X160)
| r2_hidden(esk23_2(X160,X161),X161)
| m2_fraenkel(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160),X161)
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_funct_1(esk23_2(X160,X161))
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_funct_2(esk23_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v1_group_6(esk23_2(X160,X161),X160,X160)
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( m2_relset_1(esk23_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( ~ r2_hidden(esk23_2(X160,X161),X161)
| ~ v2_funct_1(esk23_2(X160,X161))
| ~ v3_group_6(esk23_2(X160,X161),X160,X160)
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v2_funct_1(esk23_2(X160,X161))
| r2_hidden(esk23_2(X160,X161),X161)
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) )
& ( v3_group_6(esk23_2(X160,X161),X160,X160)
| r2_hidden(esk23_2(X160,X161),X161)
| ~ v1_funct_1(esk22_2(X160,X161))
| ~ v1_funct_2(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| ~ v1_group_6(esk22_2(X160,X161),X160,X160)
| ~ m2_relset_1(esk22_2(X160,X161),u1_struct_0(X160),u1_struct_0(X160))
| X161 = k1_autgroup(X160)
| ~ m1_fraenkel(X161,u1_struct_0(X160),u1_struct_0(X160))
| v3_struct_0(X160)
| ~ v1_group_1(X160)
| ~ v3_group_1(X160)
| ~ v4_group_1(X160)
| ~ l1_group_1(X160) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_37,plain,
! [X45] :
( v3_struct_0(X45)
| ~ v1_group_1(X45)
| ~ v3_group_1(X45)
| ~ v4_group_1(X45)
| ~ l1_group_1(X45)
| m1_fraenkel(k1_autgroup(X45),u1_struct_0(X45),u1_struct_0(X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_38,plain,
! [X52,X53] :
( v3_struct_0(X52)
| ~ v1_group_1(X52)
| ~ v3_group_1(X52)
| ~ v4_group_1(X52)
| ~ l1_group_1(X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k4_autgroup(X52))
| m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(k3_group_1(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_42,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[l9_autgroup]) ).
cnf(c_0_43,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_47,plain,
! [X10,X11,X12,X13] :
( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,X10,X11)
| ~ m2_relset_1(X12,X10,X11)
| ~ v1_funct_1(X13)
| ~ v1_funct_2(X13,X11,X10)
| ~ m2_relset_1(X13,X11,X10)
| k2_relat_1(X12) != X11
| k1_partfun1(X10,X11,X11,X10,X12,X13) != k6_partfun1(X10)
| ~ v2_funct_1(X12)
| X10 = k1_xboole_0
| X11 = k1_xboole_0
| X13 = k2_funct_1(X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_funct_2])])]) ).
fof(c_0_48,plain,
! [X102] : k6_partfun1(X102) = k6_relat_1(X102),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_49,plain,
! [X92] :
( ~ v1_xboole_0(X92)
| X92 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_50,plain,
( v1_relat_1(esk11_0)
& v1_funct_1(esk11_0)
& v2_funct_1(esk11_0)
& v1_xboole_0(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_partfun1])]) ).
fof(c_0_51,plain,
! [X115,X116] :
( ( k1_relat_1(X116) = k2_relat_1(X116)
| ~ m2_fraenkel(X116,u1_struct_0(X115),u1_struct_0(X115),k1_autgroup(X115))
| v3_struct_0(X115)
| ~ v1_group_1(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115) )
& ( k1_relat_1(X116) = u1_struct_0(X115)
| ~ m2_fraenkel(X116,u1_struct_0(X115),u1_struct_0(X115),k1_autgroup(X115))
| v3_struct_0(X115)
| ~ v1_group_1(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
cnf(c_0_52,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_53,plain,
! [X126,X127,X128] :
( ( ~ m2_relset_1(X128,X126,X127)
| m1_relset_1(X128,X126,X127) )
& ( ~ m1_relset_1(X128,X126,X127)
| m2_relset_1(X128,X126,X127) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_54,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_43]),c_0_44]) ).
cnf(c_0_55,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_56,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_57,plain,
( X2 = k1_xboole_0
| X3 = k1_xboole_0
| X4 = k2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X3,X2)
| ~ m2_relset_1(X4,X3,X2)
| k2_relat_1(X1) != X3
| k1_partfun1(X2,X3,X3,X2,X1,X4) != k6_partfun1(X2)
| ~ v2_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_63,plain,
! [X109,X110,X111,X112,X113,X114] :
( ~ v1_funct_1(X113)
| ~ m1_relset_1(X113,X109,X110)
| ~ v1_funct_1(X114)
| ~ m1_relset_1(X114,X111,X112)
| k1_partfun1(X109,X110,X111,X112,X113,X114) = k5_relat_1(X113,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_partfun1])]) ).
cnf(c_0_64,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_66,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]),c_0_44]) ).
fof(c_0_67,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
cnf(c_0_68,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_69,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[t27_autgroup]) ).
fof(c_0_70,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
cnf(c_0_71,plain,
( k2_relat_1(X1) = k1_xboole_0
| X2 = k2_funct_1(X1)
| X3 = k1_xboole_0
| k1_partfun1(X3,k2_relat_1(X1),k2_relat_1(X1),X3,X1,X2) != k6_relat_1(X3)
| ~ m2_relset_1(X2,k2_relat_1(X1),X3)
| ~ m2_relset_1(X1,X3,k2_relat_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_funct_2(X2,k2_relat_1(X1),X3)
| ~ v1_funct_2(X1,X3,k2_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_72,plain,
k1_xboole_0 = esk11_0,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_73,plain,
( k1_relat_1(X1) = k2_relat_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_74,negated_conjecture,
k1_relat_1(k6_autgroup(esk1_0,esk2_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_75,plain,
( k1_partfun1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,negated_conjecture,
v1_funct_1(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_55]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_78,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_79,plain,
! [X138,X139,X140,X141,X142] :
( v1_xboole_0(X139)
| ~ v1_funct_1(X141)
| ~ v1_funct_2(X141,X138,X139)
| ~ m1_relset_1(X141,X138,X139)
| ~ v1_funct_1(X142)
| ~ v1_funct_2(X142,X139,X140)
| ~ m1_relset_1(X142,X139,X140)
| k7_funct_2(X138,X139,X140,X141,X142) = k5_relat_1(X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).
cnf(c_0_80,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_68]),c_0_44]) ).
fof(c_0_81,plain,
! [X17,X18] :
( v3_struct_0(X17)
| ~ v1_group_1(X17)
| ~ v3_group_1(X17)
| ~ v4_group_1(X17)
| ~ l1_group_1(X17)
| ~ m1_subset_1(X18,u1_struct_0(X17))
| k7_funct_2(u1_struct_0(X17),u1_struct_0(X17),u1_struct_0(X17),k6_autgroup(X17,X18),k6_autgroup(X17,k3_group_1(X17,X18))) = k6_autgroup(X17,k2_group_1(X17)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
fof(c_0_82,plain,
! [X31,X32,X33,X34] :
( ( ~ m2_fraenkel(X34,X31,X32,X33)
| m1_subset_1(X34,X33)
| v1_xboole_0(X32)
| ~ m1_fraenkel(X33,X31,X32) )
& ( ~ m1_subset_1(X34,X33)
| m2_fraenkel(X34,X31,X32,X33)
| v1_xboole_0(X32)
| ~ m1_fraenkel(X33,X31,X32) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])]) ).
cnf(c_0_83,plain,
( k2_relat_1(X1) = esk11_0
| X2 = k2_funct_1(X1)
| X3 = esk11_0
| k1_partfun1(X3,k2_relat_1(X1),k2_relat_1(X1),X3,X1,X2) != k6_relat_1(X3)
| ~ m2_relset_1(X2,k2_relat_1(X1),X3)
| ~ m2_relset_1(X1,X3,k2_relat_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_funct_2(X2,k2_relat_1(X1),X3)
| ~ v1_funct_2(X1,X3,k2_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_72]) ).
cnf(c_0_84,negated_conjecture,
k2_relat_1(k6_autgroup(esk1_0,esk2_0)) = u1_struct_0(esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]),c_0_74]) ).
cnf(c_0_85,negated_conjecture,
v1_funct_1(k6_autgroup(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_86,negated_conjecture,
( k1_partfun1(X1,X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X3,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(X3,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_87,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_64,c_0_78]) ).
cnf(c_0_88,plain,
( v1_xboole_0(X1)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X5)
| ~ m1_relset_1(X4,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_55]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_90,plain,
( v3_struct_0(X1)
| k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[t24_autgroup]) ).
cnf(c_0_92,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_93,plain,
( m1_subset_1(X1,X4)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,negated_conjecture,
( X1 = k2_funct_1(k6_autgroup(esk1_0,esk2_0))
| u1_struct_0(esk1_0) = esk11_0
| X2 = esk11_0
| k1_partfun1(X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,esk2_0),X1) != k6_relat_1(X2)
| ~ m2_relset_1(k6_autgroup(esk1_0,esk2_0),X2,u1_struct_0(esk1_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),X2)
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X2,u1_struct_0(esk1_0))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),X2)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_95,negated_conjecture,
k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85])]) ).
cnf(c_0_96,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_97,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_25]) ).
cnf(c_0_98,negated_conjecture,
( k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k5_relat_1(X2,k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_76]),c_0_89]),c_0_77])]) ).
cnf(c_0_99,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k6_autgroup(esk1_0,k2_group_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_100,plain,
! [X16] :
( v3_struct_0(X16)
| ~ v1_group_1(X16)
| ~ v3_group_1(X16)
| ~ v4_group_1(X16)
| ~ l1_group_1(X16)
| k6_autgroup(X16,k2_group_1(X16)) = k6_partfun1(u1_struct_0(X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
cnf(c_0_101,plain,
( v2_funct_1(X1)
| v3_struct_0(X3)
| ~ r2_hidden(X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_6(X1,X3,X3)
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X3))
| X2 != k1_autgroup(X3)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_102,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_92]),c_0_44]) ).
fof(c_0_103,plain,
! [X37,X38] :
( ~ m1_subset_1(X37,X38)
| v1_xboole_0(X38)
| r2_hidden(X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_62]) ).
fof(c_0_105,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
cnf(c_0_106,negated_conjecture,
( u1_struct_0(esk1_0) = esk11_0
| k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) != k6_relat_1(u1_struct_0(esk1_0))
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_78]),c_0_65]),c_0_96]),c_0_89]),c_0_77])]),c_0_97]) ).
cnf(c_0_107,negated_conjecture,
( k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0))) = k6_autgroup(esk1_0,k2_group_1(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_87]),c_0_99]),c_0_96]),c_0_85])]) ).
cnf(c_0_108,plain,
( X1 = esk11_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_59,c_0_72]) ).
cnf(c_0_109,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_110,plain,
( v2_funct_1(X1)
| v3_struct_0(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ r2_hidden(X1,k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_101]),c_0_44]) ).
cnf(c_0_111,negated_conjecture,
v1_group_6(k6_autgroup(esk1_0,esk2_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_62]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_112,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_113,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_44]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_114,plain,
! [X152,X153,X154] :
( ( ~ v1_xboole_0(X154)
| ~ m1_fraenkel(X154,X152,X153) )
& ( v1_fraenkel(X154)
| ~ m1_fraenkel(X154,X152,X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_115,negated_conjecture,
( u1_struct_0(esk1_0) = esk11_0
| k6_autgroup(esk1_0,k2_group_1(esk1_0)) != k6_relat_1(u1_struct_0(esk1_0))
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_116,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_relat_1(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(rw,[status(thm)],[c_0_109,c_0_58]) ).
cnf(c_0_117,negated_conjecture,
( v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ r2_hidden(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_78]),c_0_96]),c_0_85]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_118,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(k1_autgroup(esk1_0))
| r2_hidden(k6_autgroup(esk1_0,esk2_0),k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
fof(c_0_119,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_120,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( u1_struct_0(esk1_0) = esk11_0
| ~ v2_funct_1(k6_autgroup(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
cnf(c_0_122,negated_conjecture,
( v2_funct_1(k6_autgroup(esk1_0,esk2_0))
| v1_xboole_0(k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
fof(c_0_123,plain,
! [X46] :
( v3_struct_0(X46)
| ~ l1_struct_0(X46)
| ~ v1_xboole_0(u1_struct_0(X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])]) ).
cnf(c_0_124,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_120,c_0_44]) ).
cnf(c_0_125,negated_conjecture,
( u1_struct_0(esk1_0) = esk11_0
| v1_xboole_0(k1_autgroup(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_108]) ).
cnf(c_0_126,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_127,negated_conjecture,
u1_struct_0(esk1_0) = esk11_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_124,c_0_125]),c_0_32]),c_0_33]),c_0_34]),c_0_41])]),c_0_35]) ).
fof(c_0_128,plain,
! [X47] :
( ~ l1_group_1(X47)
| l1_struct_0(X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
cnf(c_0_129,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_60])]),c_0_35]) ).
cnf(c_0_130,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP630+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 02:43:35 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.d5xUdaEerF/E---3.1_21940.p
% 20.73/3.09 # Version: 3.1pre001
% 20.73/3.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 20.73/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.73/3.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 20.73/3.09 # Starting new_bool_3 with 300s (1) cores
% 20.73/3.09 # Starting new_bool_1 with 300s (1) cores
% 20.73/3.09 # Starting sh5l with 300s (1) cores
% 20.73/3.09 # sh5l with pid 22021 completed with status 0
% 20.73/3.09 # Result found by sh5l
% 20.73/3.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 20.73/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.73/3.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 20.73/3.09 # Starting new_bool_3 with 300s (1) cores
% 20.73/3.09 # Starting new_bool_1 with 300s (1) cores
% 20.73/3.09 # Starting sh5l with 300s (1) cores
% 20.73/3.09 # SinE strategy is gf500_gu_R04_F100_L20000
% 20.73/3.09 # Search class: FGHSM-FSLM31-MFFFFFNN
% 20.73/3.09 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 20.73/3.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 20.73/3.09 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 22025 completed with status 0
% 20.73/3.09 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 20.73/3.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 20.73/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.73/3.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 20.73/3.09 # Starting new_bool_3 with 300s (1) cores
% 20.73/3.09 # Starting new_bool_1 with 300s (1) cores
% 20.73/3.09 # Starting sh5l with 300s (1) cores
% 20.73/3.09 # SinE strategy is gf500_gu_R04_F100_L20000
% 20.73/3.09 # Search class: FGHSM-FSLM31-MFFFFFNN
% 20.73/3.09 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 20.73/3.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 20.73/3.09 # Preprocessing time : 0.003 s
% 20.73/3.09 # Presaturation interreduction done
% 20.73/3.09
% 20.73/3.09 # Proof found!
% 20.73/3.09 # SZS status Theorem
% 20.73/3.09 # SZS output start CNFRefutation
% See solution above
% 20.73/3.09 # Parsed axioms : 92
% 20.73/3.09 # Removed by relevancy pruning/SinE : 11
% 20.73/3.09 # Initial clauses : 187
% 20.73/3.09 # Removed in clause preprocessing : 14
% 20.73/3.09 # Initial clauses in saturation : 173
% 20.73/3.09 # Processed clauses : 12351
% 20.73/3.09 # ...of these trivial : 106
% 20.73/3.09 # ...subsumed : 7839
% 20.73/3.09 # ...remaining for further processing : 4406
% 20.73/3.09 # Other redundant clauses eliminated : 89
% 20.73/3.09 # Clauses deleted for lack of memory : 0
% 20.73/3.09 # Backward-subsumed : 83
% 20.73/3.09 # Backward-rewritten : 1962
% 20.73/3.09 # Generated clauses : 59790
% 20.73/3.09 # ...of the previous two non-redundant : 59835
% 20.73/3.09 # ...aggressively subsumed : 0
% 20.73/3.09 # Contextual simplify-reflections : 78
% 20.73/3.09 # Paramodulations : 59699
% 20.73/3.09 # Factorizations : 0
% 20.73/3.09 # NegExts : 0
% 20.73/3.09 # Equation resolutions : 91
% 20.73/3.09 # Total rewrite steps : 12999
% 20.73/3.09 # Propositional unsat checks : 0
% 20.73/3.09 # Propositional check models : 0
% 20.73/3.09 # Propositional check unsatisfiable : 0
% 20.73/3.09 # Propositional clauses : 0
% 20.73/3.09 # Propositional clauses after purity: 0
% 20.73/3.09 # Propositional unsat core size : 0
% 20.73/3.09 # Propositional preprocessing time : 0.000
% 20.73/3.09 # Propositional encoding time : 0.000
% 20.73/3.09 # Propositional solver time : 0.000
% 20.73/3.09 # Success case prop preproc time : 0.000
% 20.73/3.09 # Success case prop encoding time : 0.000
% 20.73/3.09 # Success case prop solver time : 0.000
% 20.73/3.09 # Current number of processed clauses : 2186
% 20.73/3.09 # Positive orientable unit clauses : 224
% 20.73/3.09 # Positive unorientable unit clauses: 0
% 20.73/3.09 # Negative unit clauses : 8
% 20.73/3.09 # Non-unit-clauses : 1954
% 20.73/3.09 # Current number of unprocessed clauses: 47713
% 20.73/3.09 # ...number of literals in the above : 236053
% 20.73/3.09 # Current number of archived formulas : 0
% 20.73/3.09 # Current number of archived clauses : 2212
% 20.73/3.09 # Clause-clause subsumption calls (NU) : 4162206
% 20.73/3.09 # Rec. Clause-clause subsumption calls : 1479531
% 20.73/3.09 # Non-unit clause-clause subsumptions : 7978
% 20.73/3.09 # Unit Clause-clause subsumption calls : 58917
% 20.73/3.09 # Rewrite failures with RHS unbound : 0
% 20.73/3.09 # BW rewrite match attempts : 4034
% 20.73/3.09 # BW rewrite match successes : 28
% 20.73/3.09 # Condensation attempts : 0
% 20.73/3.09 # Condensation successes : 0
% 20.73/3.09 # Termbank termtop insertions : 1574676
% 20.73/3.09
% 20.73/3.09 # -------------------------------------------------
% 20.73/3.09 # User time : 2.563 s
% 20.73/3.09 # System time : 0.039 s
% 20.73/3.09 # Total time : 2.602 s
% 20.73/3.09 # Maximum resident set size: 2468 pages
% 20.73/3.09
% 20.73/3.09 # -------------------------------------------------
% 20.73/3.09 # User time : 2.565 s
% 20.73/3.09 # System time : 0.042 s
% 20.73/3.09 # Total time : 2.607 s
% 20.73/3.09 # Maximum resident set size: 1784 pages
% 20.73/3.09 % E---3.1 exiting
% 20.73/3.09 % E---3.1 exiting
%------------------------------------------------------------------------------