TSTP Solution File: GRP634+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP634+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:01:21 EDT 2024
% Result : Theorem 221.00s 28.43s
% Output : CNFRefutation 221.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 161 ( 49 unt; 0 def)
% Number of atoms : 748 ( 91 equ)
% Maximal formula atoms : 90 ( 4 avg)
% Number of connectives : 935 ( 348 ~; 364 |; 150 &)
% ( 9 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 4 con; 0-4 aty)
% Number of variables : 266 ( 6 sgn 156 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
=> X2 = k2_group_1(k5_autgroup(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t32_autgroup) ).
fof(dt_k5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_k5_autgroup) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_k4_autgroup) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_l1_group_1) ).
fof(d5_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_group_1(X2)
& v1_group_3(X2,k3_autgroup(X1))
& m1_group_2(X2,k3_autgroup(X1)) )
=> ( X2 = k5_autgroup(X1)
<=> u1_struct_0(X2) = k4_autgroup(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',d5_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/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',redefinition_m2_fraenkel) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_m1_fraenkel) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.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/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',rc1_partfun1) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_m2_fraenkel) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',cc1_fraenkel) ).
fof(t11_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) )
=> ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> r2_hidden(X3,k1_funct_2(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t11_funct_2) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_relat_1(k6_relat_1(X1))
& v1_funct_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',fc2_funct_1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',redefinition_k6_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/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_k6_partfun1) ).
fof(t21_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t21_autgroup) ).
fof(dt_k1_fraenkel,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> m1_fraenkel(k1_fraenkel(X1,X2),X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',dt_k1_fraenkel) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t1_subset) ).
fof(redefinition_k1_fraenkel,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',redefinition_k1_fraenkel) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',cc1_funct_2) ).
fof(d4_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 = k4_autgroup(X1)
<=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
=> ( r2_hidden(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X5) = k2_group_3(X1,X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',d4_autgroup) ).
fof(t113_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,X1,X2)
& m2_relset_1(X4,X1,X2) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> k1_funct_1(X3,X5) = k1_funct_1(X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t113_funct_2) ).
fof(t35_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> k2_group_3(X1,X2,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t35_group_3) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t2_subset) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',redefinition_k8_funct_2) ).
fof(t35_funct_1,axiom,
! [X1,X2] :
( r2_hidden(X2,X1)
=> k1_funct_1(k6_relat_1(X1),X2) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p',t35_funct_1) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
=> X2 = k2_group_1(k5_autgroup(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_autgroup])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_autgroup]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
fof(c_0_31,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]) ).
fof(c_0_32,plain,
! [X75] :
( ~ l1_group_1(X75)
| l1_struct_0(X75) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])])]) ).
fof(c_0_33,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)
& ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& v7_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0)))
& esk2_0 != k2_group_1(k5_autgroup(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& v1_group_3(X2,k3_autgroup(X1))
& m1_group_2(X2,k3_autgroup(X1)) )
=> ( X2 = k5_autgroup(X1)
<=> u1_struct_0(X2) = k4_autgroup(X1) ) ) ),
inference(fof_simplification,[status(thm)],[d5_autgroup]) ).
fof(c_0_35,plain,
! [X68] :
( ( v1_group_1(k5_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( v1_group_3(k5_autgroup(X68),k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( m1_group_2(k5_autgroup(X68),k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_36,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_37,plain,
! [X67] :
( v3_struct_0(X67)
| ~ v1_group_1(X67)
| ~ v3_group_1(X67)
| ~ v4_group_1(X67)
| ~ l1_group_1(X67)
| m1_fraenkel(k4_autgroup(X67),u1_struct_0(X67),u1_struct_0(X67)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_38,plain,
! [X114] :
( v3_struct_0(X114)
| ~ l1_struct_0(X114)
| ~ v1_xboole_0(u1_struct_0(X114)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_39,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X54,X55] :
( ( X55 != k5_autgroup(X54)
| u1_struct_0(X55) = k4_autgroup(X54)
| ~ v1_group_1(X55)
| ~ v1_group_3(X55,k3_autgroup(X54))
| ~ m1_group_2(X55,k3_autgroup(X54))
| v3_struct_0(X54)
| ~ v1_group_1(X54)
| ~ v3_group_1(X54)
| ~ v4_group_1(X54)
| ~ l1_group_1(X54) )
& ( u1_struct_0(X55) != k4_autgroup(X54)
| X55 = k5_autgroup(X54)
| ~ v1_group_1(X55)
| ~ v1_group_3(X55,k3_autgroup(X54))
| ~ m1_group_2(X55,k3_autgroup(X54))
| v3_struct_0(X54)
| ~ v1_group_1(X54)
| ~ v3_group_1(X54)
| ~ v4_group_1(X54)
| ~ l1_group_1(X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).
cnf(c_0_42,plain,
( v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
| v3_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_35]) ).
cnf(c_0_43,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
( m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| v3_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_35]) ).
cnf(c_0_48,plain,
( v1_group_1(k5_autgroup(X1))
| v3_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_35]) ).
fof(c_0_49,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
fof(c_0_50,plain,
! [X157,X158,X159,X160] :
( ( ~ m2_fraenkel(X160,X157,X158,X159)
| m1_subset_1(X160,X159)
| v1_xboole_0(X158)
| ~ m1_fraenkel(X159,X157,X158) )
& ( ~ m1_subset_1(X160,X159)
| m2_fraenkel(X160,X157,X158,X159)
| v1_xboole_0(X158)
| ~ m1_fraenkel(X159,X157,X158) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_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_52,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_54,plain,
( u1_struct_0(X1) = k4_autgroup(X2)
| v3_struct_0(X2)
| X1 != k5_autgroup(X2)
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X2))
| ~ m1_group_2(X1,k3_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_41]) ).
cnf(c_0_55,negated_conjecture,
v1_group_3(k5_autgroup(esk1_0),k3_autgroup(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_42,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
m1_group_2(k5_autgroup(esk1_0),k3_autgroup(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_47,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_57,negated_conjecture,
v1_group_1(k5_autgroup(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_48,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_58,plain,
! [X76,X77,X78] :
( ( ~ v1_xboole_0(X78)
| ~ m1_fraenkel(X78,X76,X77) )
& ( v1_fraenkel(X78)
| ~ m1_fraenkel(X78,X76,X77) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_59,plain,
! [X191] :
( ~ v1_xboole_0(X191)
| X191 = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
fof(c_0_60,plain,
( v1_relat_1(esk22_0)
& v1_funct_1(esk22_0)
& v2_funct_1(esk22_0)
& v1_xboole_0(esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_partfun1])]) ).
fof(c_0_61,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_0_62,plain,
( m2_fraenkel(X1,X3,X4,X2)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,X2)
| ~ m1_fraenkel(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_64,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_66,negated_conjecture,
u1_struct_0(k5_autgroup(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_40]),c_0_44]),c_0_45]),c_0_43]),c_0_57])]),c_0_46]) ).
fof(c_0_67,plain,
! [X11,X12] :
( ( v1_relat_1(X12)
| ~ m1_subset_1(X12,X11)
| ~ v1_fraenkel(X11) )
& ( v1_funct_1(X12)
| ~ m1_subset_1(X12,X11)
| ~ v1_fraenkel(X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_fraenkel])])])])]) ).
cnf(c_0_68,plain,
( v1_fraenkel(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_69,plain,
! [X170,X171,X172] :
( ( X171 = k1_xboole_0
| r2_hidden(X172,k1_funct_2(X170,X171))
| ~ v1_funct_1(X172)
| ~ v1_funct_2(X172,X170,X171)
| ~ m2_relset_1(X172,X170,X171) )
& ( X170 != k1_xboole_0
| r2_hidden(X172,k1_funct_2(X170,X171))
| ~ v1_funct_1(X172)
| ~ v1_funct_2(X172,X170,X171)
| ~ m2_relset_1(X172,X170,X171) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_funct_2])])])]) ).
cnf(c_0_70,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
v1_xboole_0(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_72,plain,
! [X81,X82,X83,X84] :
( ( v1_funct_1(X84)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) )
& ( v1_funct_2(X84,X81,X82)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) )
& ( m2_relset_1(X84,X81,X82)
| ~ m2_fraenkel(X84,X81,X82,X83)
| v1_xboole_0(X82)
| ~ m1_fraenkel(X83,X81,X82) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])])]) ).
cnf(c_0_73,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_74,negated_conjecture,
m1_subset_1(esk2_0,k4_autgroup(esk1_0)),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v1_fraenkel(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
v1_fraenkel(k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_68,c_0_63]) ).
cnf(c_0_77,plain,
( r2_hidden(X2,k1_funct_2(X1,X3))
| X1 != k1_xboole_0
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m2_relset_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
k1_xboole_0 = esk22_0,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
( m2_relset_1(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,plain,
( v1_funct_2(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_84,plain,
( r2_hidden(X1,k1_funct_2(X2,X3))
| X2 != esk22_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,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(spm,[status(thm)],[c_0_79,c_0_80]),c_0_63])]),c_0_64]) ).
cnf(c_0_86,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(spm,[status(thm)],[c_0_81,c_0_80]),c_0_63])]),c_0_64]) ).
cnf(c_0_87,negated_conjecture,
v1_funct_1(esk2_0),
inference(spm,[status(thm)],[c_0_82,c_0_74]) ).
fof(c_0_88,plain,
! [X115] :
( v1_relat_1(k6_relat_1(X115))
& v1_funct_1(k6_relat_1(X115)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_89,plain,
! [X152] : k6_partfun1(X152) = k6_relat_1(X152),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_90,plain,
! [X161,X162,X163] :
( ( ~ m2_relset_1(X163,X161,X162)
| m1_relset_1(X163,X161,X162) )
& ( ~ m1_relset_1(X163,X161,X162)
| m2_relset_1(X163,X161,X162) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_91,plain,
! [X69] :
( v1_partfun1(k6_partfun1(X69),X69,X69)
& m2_relset_1(k6_partfun1(X69),X69,X69) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_92,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[t21_autgroup]) ).
fof(c_0_93,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> m1_fraenkel(k1_fraenkel(X1,X2),X1,X2) ),
inference(fof_simplification,[status(thm)],[dt_k1_fraenkel]) ).
fof(c_0_94,plain,
! [X173,X174] :
( ~ r2_hidden(X173,X174)
| m1_subset_1(X173,X174) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_95,plain,
( X1 = esk22_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(rw,[status(thm)],[c_0_83,c_0_78]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| u1_struct_0(esk1_0) != esk22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87])]) ).
fof(c_0_97,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_fraenkel]) ).
fof(c_0_98,plain,
! [X14,X15,X16] :
( ( v1_funct_1(X16)
| ~ v1_funct_1(X16)
| ~ v1_partfun1(X16,X14,X15)
| ~ m1_relset_1(X16,X14,X15) )
& ( v1_funct_2(X16,X14,X15)
| ~ v1_funct_1(X16)
| ~ v1_partfun1(X16,X14,X15)
| ~ m1_relset_1(X16,X14,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])])]) ).
cnf(c_0_99,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_103,plain,
! [X175] :
( v3_struct_0(X175)
| ~ v1_group_1(X175)
| ~ v3_group_1(X175)
| ~ v4_group_1(X175)
| ~ l1_group_1(X175)
| k6_partfun1(u1_struct_0(X175)) = k2_group_1(k5_autgroup(X175)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])]) ).
fof(c_0_104,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 = k4_autgroup(X1)
<=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
=> ( r2_hidden(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X5) = k2_group_3(X1,X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_autgroup]) ).
fof(c_0_105,plain,
! [X59,X60] :
( v1_xboole_0(X60)
| m1_fraenkel(k1_fraenkel(X59,X60),X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])]) ).
cnf(c_0_106,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,negated_conjecture,
r2_hidden(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_85]),c_0_86]),c_0_87])]),c_0_96]) ).
fof(c_0_108,plain,
! [X150,X151] :
( v1_xboole_0(X151)
| k1_fraenkel(X150,X151) = k1_funct_2(X150,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).
fof(c_0_109,plain,
! [X165,X166,X167,X168] :
( ( m1_subset_1(esk35_4(X165,X166,X167,X168),X165)
| X167 = X168
| ~ v1_funct_1(X168)
| ~ v1_funct_2(X168,X165,X166)
| ~ m2_relset_1(X168,X165,X166)
| ~ v1_funct_1(X167)
| ~ v1_funct_2(X167,X165,X166)
| ~ m2_relset_1(X167,X165,X166) )
& ( k1_funct_1(X167,esk35_4(X165,X166,X167,X168)) != k1_funct_1(X168,esk35_4(X165,X166,X167,X168))
| X167 = X168
| ~ v1_funct_1(X168)
| ~ v1_funct_2(X168,X165,X166)
| ~ m2_relset_1(X168,X165,X166)
| ~ v1_funct_1(X167)
| ~ v1_funct_2(X167,X165,X166)
| ~ m2_relset_1(X167,X165,X166) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t113_funct_2])])])])])]) ).
cnf(c_0_110,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_111,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_112,plain,
v1_funct_1(k6_partfun1(X1)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_113,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| k6_partfun1(u1_struct_0(X1)) = k2_group_1(k5_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_115,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& l1_group_1(X1) )
=> k2_group_3(X1,X2,X3) = X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[t35_group_3]) ).
fof(c_0_116,plain,
! [X42,X43,X44,X46,X47,X50,X53] :
( ( m1_subset_1(esk3_3(X42,X43,X44),u1_struct_0(X42))
| ~ r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( ~ m1_subset_1(X46,u1_struct_0(X42))
| k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),X44,X46) = k2_group_3(X42,X46,esk3_3(X42,X43,X44))
| ~ r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk4_4(X42,X43,X44,X47),u1_struct_0(X42))
| ~ m1_subset_1(X47,u1_struct_0(X42))
| r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),X44,esk4_4(X42,X43,X44,X47)) != k2_group_3(X42,esk4_4(X42,X43,X44,X47),X47)
| ~ m1_subset_1(X47,u1_struct_0(X42))
| r2_hidden(X44,X43)
| ~ m2_fraenkel(X44,u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 != k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m2_fraenkel(esk5_2(X42,X43),u1_struct_0(X42),u1_struct_0(X42),k1_fraenkel(u1_struct_0(X42),u1_struct_0(X42)))
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk6_3(X42,X43,X50),u1_struct_0(X42))
| ~ m1_subset_1(X50,u1_struct_0(X42))
| ~ r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),esk5_2(X42,X43),esk6_3(X42,X43,X50)) != k2_group_3(X42,esk6_3(X42,X43,X50),X50)
| ~ m1_subset_1(X50,u1_struct_0(X42))
| ~ r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( m1_subset_1(esk7_2(X42,X43),u1_struct_0(X42))
| r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) )
& ( ~ m1_subset_1(X53,u1_struct_0(X42))
| k8_funct_2(u1_struct_0(X42),u1_struct_0(X42),esk5_2(X42,X43),X53) = k2_group_3(X42,X53,esk7_2(X42,X43))
| r2_hidden(esk5_2(X42,X43),X43)
| X43 = k4_autgroup(X42)
| ~ m1_fraenkel(X43,u1_struct_0(X42),u1_struct_0(X42))
| v3_struct_0(X42)
| ~ v1_group_1(X42)
| ~ v3_group_1(X42)
| ~ v4_group_1(X42)
| ~ l1_group_1(X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])])])])]) ).
cnf(c_0_117,plain,
( v1_xboole_0(X1)
| m1_fraenkel(k1_fraenkel(X2,X1),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_118,negated_conjecture,
m1_subset_1(esk2_0,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_119,plain,
( v1_xboole_0(X1)
| k1_fraenkel(X2,X1) = k1_funct_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
fof(c_0_120,plain,
! [X176,X177] :
( ~ m1_subset_1(X176,X177)
| v1_xboole_0(X177)
| r2_hidden(X176,X177) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_121,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_122,plain,
( m1_subset_1(esk35_4(X1,X2,X3,X4),X1)
| X3 = X4
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m2_relset_1(X4,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_123,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),c_0_113])]) ).
cnf(c_0_124,negated_conjecture,
esk2_0 != k2_group_1(k5_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_125,negated_conjecture,
k2_group_1(k5_autgroup(esk1_0)) = k6_partfun1(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_114,c_0_43]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_126,plain,
! [X180,X181,X182] :
( v3_struct_0(X180)
| ~ v3_group_1(X180)
| ~ v4_group_1(X180)
| ~ l1_group_1(X180)
| ~ m1_subset_1(X181,u1_struct_0(X180))
| ~ m1_subset_1(X182,u1_struct_0(X180))
| v3_struct_0(X180)
| ~ v3_group_1(X180)
| ~ v4_group_1(X180)
| ~ v7_group_1(X180)
| ~ l1_group_1(X180)
| k2_group_3(X180,X181,X182) = X181 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])]) ).
cnf(c_0_127,plain,
( m1_subset_1(esk3_3(X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ r2_hidden(X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,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_116]) ).
cnf(c_0_128,plain,
( m2_fraenkel(X1,X2,X3,k1_fraenkel(X2,X3))
| v1_xboole_0(X3)
| ~ m1_subset_1(X1,k1_fraenkel(X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_117]) ).
cnf(c_0_129,negated_conjecture,
m1_subset_1(esk2_0,k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_64]) ).
cnf(c_0_130,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,negated_conjecture,
~ v1_xboole_0(k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_121,c_0_63]) ).
fof(c_0_132,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_133,plain,
! [X178,X179] :
( ~ r2_hidden(X179,X178)
| k1_funct_1(k6_relat_1(X178),X179) = X179 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_funct_1])])]) ).
cnf(c_0_134,plain,
( X1 = k6_partfun1(X2)
| m1_subset_1(esk35_4(X2,X2,X1,k6_partfun1(X2)),X2)
| ~ m2_relset_1(X1,X2,X2)
| ~ v1_funct_2(X1,X2,X2)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_102]),c_0_112])]),c_0_123])]) ).
cnf(c_0_135,negated_conjecture,
k6_partfun1(u1_struct_0(esk1_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_136,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| k2_group_3(X1,X2,X3) = X2
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_137,plain,
( m1_subset_1(esk3_3(X1,k4_autgroup(X1),X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X2,k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_127]),c_0_51]) ).
cnf(c_0_138,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_64]) ).
cnf(c_0_139,negated_conjecture,
r2_hidden(esk2_0,k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_74]),c_0_131]) ).
fof(c_0_140,plain,
! [X153,X154,X155,X156] :
( v1_xboole_0(X153)
| ~ v1_funct_1(X155)
| ~ v1_funct_2(X155,X153,X154)
| ~ m1_relset_1(X155,X153,X154)
| ~ m1_subset_1(X156,X153)
| k8_funct_2(X153,X154,X155,X156) = k1_funct_1(X155,X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])]) ).
cnf(c_0_141,plain,
( k1_funct_1(k6_relat_1(X2),X1) = X1
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_142,negated_conjecture,
m1_subset_1(esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(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(spm,[status(thm)],[c_0_134,c_0_85]),c_0_86]),c_0_87])]),c_0_135]) ).
cnf(c_0_143,plain,
( k8_funct_2(u1_struct_0(X2),u1_struct_0(X2),X3,X1) = k2_group_3(X2,X1,esk3_3(X2,X4,X3))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_hidden(X3,X4)
| ~ m2_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)))
| X4 != k4_autgroup(X2)
| ~ m1_fraenkel(X4,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_116]) ).
cnf(c_0_144,plain,
( k2_group_3(X1,X2,X3) = X2
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v7_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_136]) ).
cnf(c_0_145,negated_conjecture,
m1_subset_1(esk3_3(esk1_0,k4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_40]),c_0_44]),c_0_45]),c_0_43])]),c_0_46]) ).
cnf(c_0_146,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_147,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_148,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_101,c_0_85]) ).
cnf(c_0_149,plain,
( k1_funct_1(k6_partfun1(X2),X1) = X1
| ~ r2_hidden(X1,X2) ),
inference(rw,[status(thm)],[c_0_141,c_0_100]) ).
cnf(c_0_150,negated_conjecture,
r2_hidden(esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_142]),c_0_64]) ).
cnf(c_0_151,plain,
( k2_group_3(X1,X2,esk3_3(X1,k4_autgroup(X1),X3)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X2)
| v3_struct_0(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X3,k4_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_143]),c_0_51]) ).
cnf(c_0_152,negated_conjecture,
( k2_group_3(esk1_0,X1,esk3_3(esk1_0,k4_autgroup(esk1_0),esk2_0)) = X1
| ~ m1_subset_1(X1,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_144,c_0_145]),c_0_146]),c_0_40]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_153,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,X1) = k1_funct_1(esk2_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_86]),c_0_87])]),c_0_64]) ).
cnf(c_0_154,plain,
( X1 = X4
| k1_funct_1(X1,esk35_4(X2,X3,X1,X4)) != k1_funct_1(X4,esk35_4(X2,X3,X1,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X2,X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_155,negated_conjecture,
k1_funct_1(k6_partfun1(u1_struct_0(esk1_0)),esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0)))) = esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( k2_group_3(esk1_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),esk3_3(esk1_0,k4_autgroup(esk1_0),X1)) = k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))))
| ~ m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| ~ r2_hidden(X1,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_151,c_0_142]),c_0_40]),c_0_44]),c_0_45]),c_0_43])]),c_0_46]) ).
cnf(c_0_157,negated_conjecture,
k2_group_3(esk1_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),esk3_3(esk1_0,k4_autgroup(esk1_0),esk2_0)) = esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_152,c_0_142]) ).
cnf(c_0_158,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0)))) = k1_funct_1(esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_153,c_0_142]) ).
cnf(c_0_159,negated_conjecture,
k1_funct_1(esk2_0,esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0)))) != esk35_4(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k6_partfun1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_102]),c_0_85]),c_0_123]),c_0_86]),c_0_112]),c_0_87])]),c_0_135]) ).
cnf(c_0_160,negated_conjecture,
$false,
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_156,c_0_138]),c_0_157]),c_0_158]),c_0_139])]),c_0_159]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP634+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:08:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.1Xx5Ke7p51/E---3.1_7011.p
% 221.00/28.43 # Version: 3.1.0
% 221.00/28.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 221.00/28.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.00/28.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 221.00/28.43 # Starting new_bool_3 with 300s (1) cores
% 221.00/28.43 # Starting new_bool_1 with 300s (1) cores
% 221.00/28.43 # Starting sh5l with 300s (1) cores
% 221.00/28.43 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 7097 completed with status 0
% 221.00/28.43 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 221.00/28.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 221.00/28.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.00/28.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 221.00/28.43 # No SInE strategy applied
% 221.00/28.43 # Search class: FGHSM-FSLM31-SFFFFFNN
% 221.00/28.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 221.00/28.43 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 221.00/28.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 221.00/28.43 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 221.00/28.43 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 221.00/28.43 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 221.00/28.43 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 7104 completed with status 0
% 221.00/28.43 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 221.00/28.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 221.00/28.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.00/28.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 221.00/28.43 # No SInE strategy applied
% 221.00/28.43 # Search class: FGHSM-FSLM31-SFFFFFNN
% 221.00/28.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 221.00/28.43 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 221.00/28.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 221.00/28.43 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 221.00/28.43 # Preprocessing time : 0.006 s
% 221.00/28.43
% 221.00/28.43 # Proof found!
% 221.00/28.43 # SZS status Theorem
% 221.00/28.43 # SZS output start CNFRefutation
% See solution above
% 221.00/28.43 # Parsed axioms : 102
% 221.00/28.43 # Removed by relevancy pruning/SinE : 0
% 221.00/28.43 # Initial clauses : 226
% 221.00/28.43 # Removed in clause preprocessing : 25
% 221.00/28.43 # Initial clauses in saturation : 201
% 221.00/28.43 # Processed clauses : 38913
% 221.00/28.43 # ...of these trivial : 7265
% 221.00/28.43 # ...subsumed : 6709
% 221.00/28.43 # ...remaining for further processing : 24939
% 221.00/28.43 # Other redundant clauses eliminated : 0
% 221.00/28.43 # Clauses deleted for lack of memory : 0
% 221.00/28.43 # Backward-subsumed : 798
% 221.00/28.43 # Backward-rewritten : 1082
% 221.00/28.43 # Generated clauses : 643772
% 221.00/28.43 # ...of the previous two non-redundant : 640990
% 221.00/28.43 # ...aggressively subsumed : 0
% 221.00/28.43 # Contextual simplify-reflections : 2463
% 221.00/28.43 # Paramodulations : 642796
% 221.00/28.43 # Factorizations : 0
% 221.00/28.43 # NegExts : 0
% 221.00/28.43 # Equation resolutions : 39
% 221.00/28.43 # Disequality decompositions : 0
% 221.00/28.43 # Total rewrite steps : 217167
% 221.00/28.43 # ...of those cached : 210699
% 221.00/28.43 # Propositional unsat checks : 0
% 221.00/28.43 # Propositional check models : 0
% 221.00/28.43 # Propositional check unsatisfiable : 0
% 221.00/28.43 # Propositional clauses : 0
% 221.00/28.43 # Propositional clauses after purity: 0
% 221.00/28.43 # Propositional unsat core size : 0
% 221.00/28.43 # Propositional preprocessing time : 0.000
% 221.00/28.43 # Propositional encoding time : 0.000
% 221.00/28.43 # Propositional solver time : 0.000
% 221.00/28.43 # Success case prop preproc time : 0.000
% 221.00/28.43 # Success case prop encoding time : 0.000
% 221.00/28.43 # Success case prop solver time : 0.000
% 221.00/28.43 # Current number of processed clauses : 22122
% 221.00/28.43 # Positive orientable unit clauses : 8572
% 221.00/28.43 # Positive unorientable unit clauses: 0
% 221.00/28.43 # Negative unit clauses : 1128
% 221.00/28.43 # Non-unit-clauses : 12422
% 221.00/28.43 # Current number of unprocessed clauses: 599847
% 221.00/28.43 # ...number of literals in the above : 1109972
% 221.00/28.43 # Current number of archived formulas : 0
% 221.00/28.43 # Current number of archived clauses : 2818
% 221.00/28.43 # Clause-clause subsumption calls (NU) : 11659019
% 221.00/28.43 # Rec. Clause-clause subsumption calls : 5822006
% 221.00/28.43 # Non-unit clause-clause subsumptions : 8518
% 221.00/28.43 # Unit Clause-clause subsumption calls : 7783132
% 221.00/28.43 # Rewrite failures with RHS unbound : 0
% 221.00/28.43 # BW rewrite match attempts : 312693
% 221.00/28.43 # BW rewrite match successes : 284
% 221.00/28.43 # Condensation attempts : 0
% 221.00/28.43 # Condensation successes : 0
% 221.00/28.43 # Termbank termtop insertions : 24083716
% 221.00/28.43 # Search garbage collected termcells : 2556
% 221.00/28.43
% 221.00/28.43 # -------------------------------------------------
% 221.00/28.43 # User time : 27.011 s
% 221.00/28.43 # System time : 0.530 s
% 221.00/28.43 # Total time : 27.541 s
% 221.00/28.43 # Maximum resident set size: 2432 pages
% 221.00/28.43
% 221.00/28.43 # -------------------------------------------------
% 221.00/28.43 # User time : 135.538 s
% 221.00/28.43 # System time : 2.400 s
% 221.00/28.43 # Total time : 137.938 s
% 221.00/28.43 # Maximum resident set size: 1804 pages
% 221.00/28.43 % E---3.1 exiting
%------------------------------------------------------------------------------