TSTP Solution File: GRP646+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP646+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 17:49:50 EDT 2023
% Result : Theorem 1235.17s 164.31s
% Output : CNFRefutation 1235.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of formulae : 203 ( 73 unt; 0 def)
% Number of atoms : 814 ( 95 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 989 ( 378 ~; 384 |; 153 &)
% ( 13 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 281 ( 13 sgn; 164 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k5_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_group_2(X1))
& m1_group_2(k5_group_2(X1),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k5_group_2) ).
fof(t25_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ( r2_hidden(k5_group_2(X1),X2)
=> r1_group_2(X1,k2_latsubgr(X1,X2),k5_group_2(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t25_latsubgr) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_m1_group_2) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k1_latsubgr) ).
fof(dt_k2_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k2_group_1) ).
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.xNbT1wlk3N/E---3.1_19126.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.xNbT1wlk3N/E---3.1_19126.p',dt_l1_group_1) ).
fof(d5_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',d5_group_2) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',redefinition_k6_domain_1) ).
fof(d2_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k2_latsubgr(X1,X2)
<=> u1_struct_0(X3) = k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',d2_latsubgr) ).
fof(dt_k2_latsubgr,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ( v1_group_1(k2_latsubgr(X1,X2))
& m1_group_2(k2_latsubgr(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k2_latsubgr) ).
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.xNbT1wlk3N/E---3.1_19126.p',redefinition_m2_relset_1) ).
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.xNbT1wlk3N/E---3.1_19126.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',existence_m1_subset_1) ).
fof(dt_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k6_domain_1) ).
fof(d7_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ( X2 = k5_group_2(X1)
<=> u1_struct_0(X2) = k6_domain_1(u1_struct_0(X1),k2_group_1(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',d7_group_2) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',d1_latsubgr) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t5_subset) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',redefinition_k2_funct_2) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',fc2_subset_1) ).
fof(t43_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) )
=> ( X2 != k1_xboole_0
=> ! [X5] :
( ? [X6] :
( r2_hidden(X6,X1)
& r2_hidden(X6,X3)
& X5 = k1_funct_1(X4,X6) )
=> r2_hidden(X5,k9_relat_1(X4,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t43_funct_2) ).
fof(dt_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> m1_subset_1(k2_funct_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',dt_k2_funct_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t3_subset) ).
fof(redefinition_k6_setfam_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> k6_setfam_1(X1,X2) = k1_setfam_1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',redefinition_k6_setfam_1) ).
fof(t77_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> m1_group_2(k5_group_2(X1),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t77_group_2) ).
fof(redefinition_r1_group_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_group_1(X2)
& m1_group_2(X2,X1)
& v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( r1_group_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',redefinition_r1_group_2) ).
fof(t4_setfam_1,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> r1_tarski(k1_setfam_1(X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t4_setfam_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',d10_xboole_0) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',rc2_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',t6_boole) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',fc1_subset_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p',fc1_xboole_0) ).
fof(c_0_33,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_group_2(X1))
& m1_group_2(k5_group_2(X1),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_2]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ( r2_hidden(k5_group_2(X1),X2)
=> r1_group_2(X1,k2_latsubgr(X1,X2),k5_group_2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t25_latsubgr])]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_36,plain,
! [X56] :
( ( v1_group_1(k5_group_2(X56))
| v3_struct_0(X56)
| ~ v3_group_1(X56)
| ~ v4_group_1(X56)
| ~ l1_group_1(X56) )
& ( m1_group_2(k5_group_2(X56),X56)
| v3_struct_0(X56)
| ~ v3_group_1(X56)
| ~ v4_group_1(X56)
| ~ l1_group_1(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(k1_group_3(esk1_0)))
& r2_hidden(k5_group_2(esk1_0),esk2_0)
& ~ r1_group_2(esk1_0,k2_latsubgr(esk1_0,esk2_0),k5_group_2(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_38,plain,
! [X66,X67] :
( ( ~ v3_struct_0(X67)
| ~ m1_group_2(X67,X66)
| v3_struct_0(X66)
| ~ v3_group_1(X66)
| ~ l1_group_1(X66) )
& ( v3_group_1(X67)
| ~ m1_group_2(X67,X66)
| v3_struct_0(X66)
| ~ v3_group_1(X66)
| ~ l1_group_1(X66) )
& ( l1_group_1(X67)
| ~ m1_group_2(X67,X66)
| v3_struct_0(X66)
| ~ v3_group_1(X66)
| ~ l1_group_1(X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
cnf(c_0_39,plain,
( m1_group_2(k5_group_2(X1),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k2_group_1]) ).
fof(c_0_46,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_47,plain,
! [X65] :
( ~ l1_group_1(X65)
| l1_struct_0(X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
cnf(c_0_48,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
m1_group_2(k5_group_2(esk1_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_39,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_50,plain,
! [X47] :
( ( v1_funct_1(k1_latsubgr(X47))
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47) )
& ( v1_funct_2(k1_latsubgr(X47),k1_group_3(X47),k1_zfmisc_1(u1_struct_0(X47)))
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47) )
& ( m2_relset_1(k1_latsubgr(X47),k1_group_3(X47),k1_zfmisc_1(u1_struct_0(X47)))
| v3_struct_0(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_2]) ).
fof(c_0_52,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_53,plain,
! [X52] :
( v3_struct_0(X52)
| ~ l1_group_1(X52)
| m1_subset_1(k2_group_1(X52),u1_struct_0(X52)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_54,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_55,plain,
! [X91] :
( v3_struct_0(X91)
| ~ l1_struct_0(X91)
| ~ v1_xboole_0(u1_struct_0(X91)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
cnf(c_0_56,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
l1_group_1(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k2_latsubgr(X1,X2)
<=> u1_struct_0(X3) = k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d2_latsubgr]) ).
fof(c_0_59,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) )
=> ( v1_group_1(k2_latsubgr(X1,X2))
& m1_group_2(k2_latsubgr(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_latsubgr]) ).
fof(c_0_60,plain,
! [X132,X133,X134] :
( ( ~ m2_relset_1(X134,X132,X133)
| m1_relset_1(X134,X132,X133) )
& ( ~ m1_relset_1(X134,X132,X133)
| m2_relset_1(X134,X132,X133) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_61,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_62,plain,
! [X39,X40] :
( ( r1_tarski(u1_struct_0(X40),u1_struct_0(X39))
| ~ m1_group_2(X40,X39)
| v3_struct_0(X40)
| ~ v3_group_1(X40)
| ~ l1_group_1(X40)
| v3_struct_0(X39)
| ~ v3_group_1(X39)
| ~ l1_group_1(X39) )
& ( u1_group_1(X40) = k1_realset1(u1_group_1(X39),u1_struct_0(X40))
| ~ m1_group_2(X40,X39)
| v3_struct_0(X40)
| ~ v3_group_1(X40)
| ~ l1_group_1(X40)
| v3_struct_0(X39)
| ~ v3_group_1(X39)
| ~ l1_group_1(X39) )
& ( ~ r1_tarski(u1_struct_0(X40),u1_struct_0(X39))
| u1_group_1(X40) != k1_realset1(u1_group_1(X39),u1_struct_0(X40))
| m1_group_2(X40,X39)
| v3_struct_0(X40)
| ~ v3_group_1(X40)
| ~ l1_group_1(X40)
| v3_struct_0(X39)
| ~ v3_group_1(X39)
| ~ l1_group_1(X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_63,plain,
! [X147,X148] :
( ~ m1_subset_1(X147,X148)
| v1_xboole_0(X148)
| r2_hidden(X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_64,plain,
! [X85] : m1_subset_1(esk10_1(X85),X85),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_65,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_domain_1]) ).
fof(c_0_66,plain,
! [X121,X122] :
( v1_xboole_0(X121)
| ~ m1_subset_1(X122,X121)
| k6_domain_1(X121,X122) = k1_tarski(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
cnf(c_0_67,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_68,negated_conjecture,
~ v3_struct_0(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,negated_conjecture,
l1_struct_0(k5_group_2(esk1_0)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_71,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ( X2 = k5_group_2(X1)
<=> u1_struct_0(X2) = k6_domain_1(u1_struct_0(X1),k2_group_1(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[d7_group_2]) ).
fof(c_0_72,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_73,plain,
! [X159,X160,X161] :
( ~ r2_hidden(X159,X160)
| ~ m1_subset_1(X160,k1_zfmisc_1(X161))
| m1_subset_1(X159,X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_74,plain,
! [X162,X163,X164] :
( ~ r2_hidden(X162,X163)
| ~ m1_subset_1(X163,k1_zfmisc_1(X164))
| ~ v1_xboole_0(X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_75,plain,
! [X36,X37,X38] :
( ( X38 != k2_latsubgr(X36,X37)
| u1_struct_0(X38) = k6_setfam_1(u1_struct_0(X36),k2_funct_2(k1_group_3(X36),k1_zfmisc_1(u1_struct_0(X36)),k1_latsubgr(X36),X37))
| ~ v1_group_1(X38)
| ~ m1_group_2(X38,X36)
| v1_xboole_0(X37)
| ~ m1_subset_1(X37,k1_zfmisc_1(k1_group_3(X36)))
| v3_struct_0(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) )
& ( u1_struct_0(X38) != k6_setfam_1(u1_struct_0(X36),k2_funct_2(k1_group_3(X36),k1_zfmisc_1(u1_struct_0(X36)),k1_latsubgr(X36),X37))
| X38 = k2_latsubgr(X36,X37)
| ~ v1_group_1(X38)
| ~ m1_group_2(X38,X36)
| v1_xboole_0(X37)
| ~ m1_subset_1(X37,k1_zfmisc_1(k1_group_3(X36)))
| v3_struct_0(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_76,plain,
! [X53,X54] :
( ( v1_group_1(k2_latsubgr(X53,X54))
| v3_struct_0(X53)
| ~ v3_group_1(X53)
| ~ v4_group_1(X53)
| ~ l1_group_1(X53)
| v1_xboole_0(X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(k1_group_3(X53))) )
& ( m1_group_2(k2_latsubgr(X53,X54),X53)
| v3_struct_0(X53)
| ~ v3_group_1(X53)
| ~ v4_group_1(X53)
| ~ l1_group_1(X53)
| v1_xboole_0(X54)
| ~ m1_subset_1(X54,k1_zfmisc_1(k1_group_3(X53))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
fof(c_0_77,plain,
! [X117,X118,X119,X120] :
( ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,X117,X118)
| ~ m1_relset_1(X119,X117,X118)
| k2_funct_2(X117,X118,X119,X120) = k9_relat_1(X119,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])]) ).
cnf(c_0_78,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_79,negated_conjecture,
m2_relset_1(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(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_61,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_80,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_81,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_82,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_84,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_85,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_86,plain,
! [X57,X58] :
( v1_xboole_0(X57)
| ~ m1_subset_1(X58,X57)
| m1_subset_1(k6_domain_1(X57,X58),k1_zfmisc_1(X57)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
cnf(c_0_87,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_88,negated_conjecture,
m1_subset_1(k2_group_1(k5_group_2(esk1_0)),u1_struct_0(k5_group_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_68]) ).
cnf(c_0_89,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k5_group_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_68]) ).
fof(c_0_90,plain,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(c_0_91,plain,
! [X41,X42] :
( ( X42 != k5_group_2(X41)
| u1_struct_0(X42) = k6_domain_1(u1_struct_0(X41),k2_group_1(X41))
| ~ v1_group_1(X42)
| ~ m1_group_2(X42,X41)
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) )
& ( u1_struct_0(X42) != k6_domain_1(u1_struct_0(X41),k2_group_1(X41))
| X42 = k5_group_2(X41)
| ~ v1_group_1(X42)
| ~ m1_group_2(X42,X41)
| v3_struct_0(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).
cnf(c_0_92,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
fof(c_0_93,plain,
! [X151,X152,X153,X154,X155,X156] :
( ~ v1_funct_1(X154)
| ~ v1_funct_2(X154,X151,X152)
| ~ m2_relset_1(X154,X151,X152)
| X152 = k1_xboole_0
| ~ r2_hidden(X156,X151)
| ~ r2_hidden(X156,X153)
| X155 != k1_funct_1(X154,X156)
| r2_hidden(X155,k9_relat_1(X154,X153)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_funct_2])])]) ).
fof(c_0_94,plain,
! [X32,X33,X34] :
( ( X33 != k1_latsubgr(X32)
| ~ v1_group_1(X34)
| ~ m1_group_2(X34,X32)
| k1_funct_1(X33,X34) = u1_struct_0(X34)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| ~ m2_relset_1(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| v3_struct_0(X32)
| ~ v3_group_1(X32)
| ~ v4_group_1(X32)
| ~ l1_group_1(X32) )
& ( v1_group_1(esk4_2(X32,X33))
| X33 = k1_latsubgr(X32)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| ~ m2_relset_1(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| v3_struct_0(X32)
| ~ v3_group_1(X32)
| ~ v4_group_1(X32)
| ~ l1_group_1(X32) )
& ( m1_group_2(esk4_2(X32,X33),X32)
| X33 = k1_latsubgr(X32)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| ~ m2_relset_1(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| v3_struct_0(X32)
| ~ v3_group_1(X32)
| ~ v4_group_1(X32)
| ~ l1_group_1(X32) )
& ( k1_funct_1(X33,esk4_2(X32,X33)) != u1_struct_0(esk4_2(X32,X33))
| X33 = k1_latsubgr(X32)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| ~ m2_relset_1(X33,k1_group_3(X32),k1_zfmisc_1(u1_struct_0(X32)))
| v3_struct_0(X32)
| ~ v3_group_1(X32)
| ~ v4_group_1(X32)
| ~ l1_group_1(X32) ) ),
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_72])])])])]) ).
cnf(c_0_95,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_96,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_group_3(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_97,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_98,plain,
( u1_struct_0(X1) = k6_setfam_1(u1_struct_0(X2),k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3))
| v1_xboole_0(X3)
| v3_struct_0(X2)
| X1 != k2_latsubgr(X2,X3)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_99,plain,
( v1_group_1(k2_latsubgr(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_100,plain,
( m1_group_2(k2_latsubgr(X1,X2),X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_101,plain,
! [X48,X49,X50,X51] :
( ~ v1_funct_1(X50)
| ~ v1_funct_2(X50,X48,X49)
| ~ m1_relset_1(X50,X48,X49)
| m1_subset_1(k2_funct_2(X48,X49,X50,X51),k1_zfmisc_1(X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_2])]) ).
cnf(c_0_102,plain,
( k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_103,negated_conjecture,
m1_relset_1(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_104,negated_conjecture,
v1_funct_2(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(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_80,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_105,negated_conjecture,
v1_funct_1(k1_latsubgr(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_106,plain,
! [X149,X150] :
( ( ~ m1_subset_1(X149,k1_zfmisc_1(X150))
| r1_tarski(X149,X150) )
& ( ~ r1_tarski(X149,X150)
| m1_subset_1(X149,k1_zfmisc_1(X150)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_107,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_82,c_0_83]),c_0_48]),c_0_54]) ).
cnf(c_0_108,plain,
( r2_hidden(esk10_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_109,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_110,negated_conjecture,
k6_domain_1(u1_struct_0(k5_group_2(esk1_0)),k2_group_1(k5_group_2(esk1_0))) = k1_tarski(k2_group_1(k5_group_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
fof(c_0_111,plain,
! [X93] : ~ v1_xboole_0(k1_tarski(X93)),
inference(variable_rename,[status(thm)],[c_0_90]) ).
cnf(c_0_112,plain,
( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X2),k2_group_1(X2))
| v3_struct_0(X2)
| X1 != k5_group_2(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_113,plain,
( v1_group_1(k5_group_2(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_114,negated_conjecture,
m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_41]),c_0_43]) ).
cnf(c_0_115,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_92]),c_0_43]) ).
cnf(c_0_116,plain,
( X3 = k1_xboole_0
| r2_hidden(X6,k9_relat_1(X1,X5))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X4,X5)
| X6 != k1_funct_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_117,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_118,negated_conjecture,
( m1_subset_1(X1,k1_group_3(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_119,negated_conjecture,
r2_hidden(k5_group_2(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_120,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ v1_xboole_0(k1_group_3(esk1_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_121,plain,
( k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2)) = u1_struct_0(k2_latsubgr(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_122,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_123,plain,
! [X123,X124] :
( ~ m1_subset_1(X124,k1_zfmisc_1(k1_zfmisc_1(X123)))
| k6_setfam_1(X123,X124) = k1_setfam_1(X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_setfam_1])]) ).
cnf(c_0_124,plain,
( m1_subset_1(k2_funct_2(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_125,negated_conjecture,
k2_funct_2(k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),k1_latsubgr(esk1_0),X1) = k9_relat_1(k1_latsubgr(esk1_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105])]) ).
fof(c_0_126,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> m1_group_2(k5_group_2(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t77_group_2]) ).
cnf(c_0_127,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_128,negated_conjecture,
r1_tarski(u1_struct_0(k5_group_2(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_107,c_0_49]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_129,plain,
( m1_subset_1(esk10_1(X1),X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_95,c_0_108]) ).
cnf(c_0_130,negated_conjecture,
m1_subset_1(k1_tarski(k2_group_1(k5_group_2(esk1_0))),k1_zfmisc_1(u1_struct_0(k5_group_2(esk1_0)))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_88]),c_0_89]),c_0_110]) ).
cnf(c_0_131,plain,
~ v1_xboole_0(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_132,plain,
( k6_domain_1(u1_struct_0(X1),k2_group_1(X1)) = u1_struct_0(k5_group_2(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_112]),c_0_113]),c_0_39]) ).
cnf(c_0_133,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),k2_group_1(esk1_0)) = k1_tarski(k2_group_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_114]),c_0_115]) ).
cnf(c_0_134,plain,
( X1 = k1_xboole_0
| r2_hidden(k1_funct_1(X2,X3),k9_relat_1(X2,X4))
| ~ m2_relset_1(X2,X5,X1)
| ~ v1_funct_2(X2,X5,X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X3,X5) ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_135,negated_conjecture,
( k1_funct_1(k1_latsubgr(esk1_0),X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
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_117,c_0_79]),c_0_104]),c_0_105]),c_0_41]),c_0_40]),c_0_42])]),c_0_43]) ).
cnf(c_0_136,negated_conjecture,
v1_group_1(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_137,negated_conjecture,
m1_subset_1(k5_group_2(esk1_0),k1_group_3(esk1_0)),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_138,negated_conjecture,
~ v1_xboole_0(k1_group_3(esk1_0)),
inference(spm,[status(thm)],[c_0_120,c_0_119]) ).
cnf(c_0_139,negated_conjecture,
k6_setfam_1(u1_struct_0(esk1_0),k2_funct_2(k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),
inference(sr,[status(thm)],[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_121,c_0_96]),c_0_41]),c_0_40]),c_0_42])]),c_0_122]),c_0_43]) ).
cnf(c_0_140,plain,
( k6_setfam_1(X2,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_141,negated_conjecture,
m1_subset_1(k9_relat_1(k1_latsubgr(esk1_0),X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_103]),c_0_104]),c_0_105])]),c_0_125]) ).
fof(c_0_142,plain,
! [X166,X167] :
( v3_struct_0(X166)
| ~ v3_group_1(X166)
| ~ v4_group_1(X166)
| ~ l1_group_1(X166)
| ~ m1_group_2(X167,X166)
| m1_group_2(k5_group_2(X166),X167) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])]) ).
fof(c_0_143,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_group_1(X2)
& m1_group_2(X2,X1)
& v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( r1_group_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_group_2]) ).
cnf(c_0_144,negated_conjecture,
m1_subset_1(u1_struct_0(k5_group_2(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_145,negated_conjecture,
m1_subset_1(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0)))),u1_struct_0(k5_group_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_146,negated_conjecture,
k1_tarski(k2_group_1(esk1_0)) = u1_struct_0(k5_group_2(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_132,c_0_40]),c_0_133]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_147,plain,
! [X157,X158] :
( ~ r2_hidden(X157,X158)
| r1_tarski(k1_setfam_1(X158),X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_setfam_1])]) ).
cnf(c_0_148,negated_conjecture,
( X1 = k1_xboole_0
| r2_hidden(k1_funct_1(X2,k5_group_2(esk1_0)),k9_relat_1(X2,esk2_0))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k5_group_2(esk1_0),X3) ),
inference(spm,[status(thm)],[c_0_134,c_0_119]) ).
cnf(c_0_149,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k5_group_2(esk1_0)) = u1_struct_0(k5_group_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_49])]) ).
cnf(c_0_150,negated_conjecture,
r2_hidden(k5_group_2(esk1_0),k1_group_3(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_137]),c_0_138]) ).
cnf(c_0_151,negated_conjecture,
k6_setfam_1(u1_struct_0(esk1_0),k9_relat_1(k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_139,c_0_125]) ).
cnf(c_0_152,negated_conjecture,
k6_setfam_1(u1_struct_0(esk1_0),k9_relat_1(k1_latsubgr(esk1_0),X1)) = k1_setfam_1(k9_relat_1(k1_latsubgr(esk1_0),X1)),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_153,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_2(X1),X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_154,negated_conjecture,
m1_group_2(k2_latsubgr(esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[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_100,c_0_96]),c_0_41]),c_0_40]),c_0_42])]),c_0_122]),c_0_43]) ).
fof(c_0_155,plain,
! [X135,X136,X137] :
( ( ~ r1_group_2(X135,X136,X137)
| X136 = X137
| v3_struct_0(X135)
| ~ v3_group_1(X135)
| ~ v4_group_1(X135)
| ~ l1_group_1(X135)
| ~ v1_group_1(X136)
| ~ m1_group_2(X136,X135)
| ~ v1_group_1(X137)
| ~ m1_group_2(X137,X135) )
& ( X136 != X137
| r1_group_2(X135,X136,X137)
| v3_struct_0(X135)
| ~ v3_group_1(X135)
| ~ v4_group_1(X135)
| ~ l1_group_1(X135)
| ~ v1_group_1(X136)
| ~ m1_group_2(X136,X135)
| ~ v1_group_1(X137)
| ~ m1_group_2(X137,X135) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])]) ).
cnf(c_0_156,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,u1_struct_0(k5_group_2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_95,c_0_144]) ).
cnf(c_0_157,negated_conjecture,
r2_hidden(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0)))),u1_struct_0(k5_group_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_145]),c_0_89]) ).
cnf(c_0_158,plain,
( X1 = k5_group_2(X2)
| v3_struct_0(X2)
| u1_struct_0(X1) != k6_domain_1(u1_struct_0(X2),k2_group_1(X2))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_159,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),k2_group_1(esk1_0)) = u1_struct_0(k5_group_2(esk1_0)),
inference(rw,[status(thm)],[c_0_133,c_0_146]) ).
fof(c_0_160,plain,
! [X24,X25] :
( ( r1_tarski(X24,X25)
| X24 != X25 )
& ( r1_tarski(X25,X24)
| X24 != X25 )
& ( ~ r1_tarski(X24,X25)
| ~ r1_tarski(X25,X24)
| X24 = X25 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_161,plain,
( r1_tarski(k1_setfam_1(X2),X1)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_162,negated_conjecture,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r2_hidden(u1_struct_0(k5_group_2(esk1_0)),k9_relat_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_79]),c_0_149]),c_0_104]),c_0_105]),c_0_150])]) ).
cnf(c_0_163,negated_conjecture,
k1_setfam_1(k9_relat_1(k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_164,negated_conjecture,
m1_group_2(k5_group_2(esk1_0),k2_latsubgr(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(spm,[status(thm)],[c_0_153,c_0_154]),c_0_41]),c_0_40]),c_0_42])]),c_0_43]) ).
cnf(c_0_165,negated_conjecture,
l1_group_1(k2_latsubgr(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_154]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_166,negated_conjecture,
v3_group_1(k2_latsubgr(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_154]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_167,negated_conjecture,
~ v3_struct_0(k2_latsubgr(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_154]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_168,plain,
( r1_group_2(X3,X1,X2)
| v3_struct_0(X3)
| X1 != X2
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X3)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
fof(c_0_169,plain,
! [X109] :
( m1_subset_1(esk16_1(X109),k1_zfmisc_1(X109))
& v1_xboole_0(esk16_1(X109)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_170,plain,
! [X165] :
( ~ v1_xboole_0(X165)
| X165 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_171,negated_conjecture,
m1_subset_1(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0)))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
fof(c_0_172,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_173,negated_conjecture,
( X1 = k5_group_2(esk1_0)
| u1_struct_0(X1) != u1_struct_0(k5_group_2(esk1_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
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_158,c_0_159]),c_0_41]),c_0_40]),c_0_42])]),c_0_43]) ).
cnf(c_0_174,negated_conjecture,
v1_group_1(k2_latsubgr(esk1_0,esk2_0)),
inference(sr,[status(thm)],[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_99,c_0_96]),c_0_41]),c_0_40]),c_0_42])]),c_0_122]),c_0_43]) ).
cnf(c_0_175,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_176,negated_conjecture,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r1_tarski(u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),u1_struct_0(k5_group_2(esk1_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_177,negated_conjecture,
r1_tarski(u1_struct_0(k5_group_2(esk1_0)),u1_struct_0(k2_latsubgr(esk1_0,esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_164]),c_0_165]),c_0_166])]),c_0_167]) ).
cnf(c_0_178,plain,
( r1_group_2(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_168]) ).
cnf(c_0_179,plain,
m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_180,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_181,plain,
v1_xboole_0(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_182,plain,
( ~ r2_hidden(X1,esk10_1(k1_zfmisc_1(X2)))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_85]) ).
cnf(c_0_183,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0))))) = k1_tarski(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_171]),c_0_115]) ).
fof(c_0_184,plain,
! [X92] : ~ v1_xboole_0(k1_zfmisc_1(X92)),
inference(variable_rename,[status(thm)],[c_0_172]) ).
cnf(c_0_185,negated_conjecture,
( k2_latsubgr(esk1_0,esk2_0) = k5_group_2(esk1_0)
| u1_struct_0(k2_latsubgr(esk1_0,esk2_0)) != u1_struct_0(k5_group_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_154])]) ).
cnf(c_0_186,negated_conjecture,
( u1_struct_0(k2_latsubgr(esk1_0,esk2_0)) = u1_struct_0(k5_group_2(esk1_0))
| k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177])]) ).
cnf(c_0_187,negated_conjecture,
( r1_group_2(X1,k5_group_2(esk1_0),k5_group_2(esk1_0))
| v3_struct_0(X1)
| ~ m1_group_2(k5_group_2(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_136]) ).
cnf(c_0_188,plain,
( ~ r2_hidden(X1,esk16_1(X2))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_179]) ).
cnf(c_0_189,plain,
esk16_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_190,plain,
( v1_xboole_0(esk10_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_108]) ).
cnf(c_0_191,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_192,negated_conjecture,
m1_subset_1(k1_tarski(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0))))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_171]),c_0_115]),c_0_183]) ).
cnf(c_0_193,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_194,negated_conjecture,
~ r1_group_2(esk1_0,k2_latsubgr(esk1_0,esk2_0),k5_group_2(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_195,negated_conjecture,
( k2_latsubgr(esk1_0,esk2_0) = k5_group_2(esk1_0)
| k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_196,negated_conjecture,
r1_group_2(esk1_0,k5_group_2(esk1_0),k5_group_2(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_187,c_0_49]),c_0_41]),c_0_40]),c_0_42])]),c_0_43]) ).
cnf(c_0_197,plain,
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X2) ),
inference(rw,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_198,plain,
v1_xboole_0(esk10_1(k1_zfmisc_1(k1_xboole_0))),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,negated_conjecture,
r2_hidden(k1_tarski(esk10_1(k1_tarski(k2_group_1(k5_group_2(esk1_0))))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_192]),c_0_193]) ).
cnf(c_0_200,negated_conjecture,
k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196])]) ).
cnf(c_0_201,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_202,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200]),c_0_201]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP646+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Oct 3 02:57:14 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.xNbT1wlk3N/E---3.1_19126.p
% 1235.17/164.31 # Version: 3.1pre001
% 1235.17/164.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1235.17/164.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1235.17/164.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1235.17/164.31 # Starting new_bool_3 with 300s (1) cores
% 1235.17/164.31 # Starting new_bool_1 with 300s (1) cores
% 1235.17/164.31 # Starting sh5l with 300s (1) cores
% 1235.17/164.31 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19203 completed with status 0
% 1235.17/164.31 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1235.17/164.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1235.17/164.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1235.17/164.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1235.17/164.31 # No SInE strategy applied
% 1235.17/164.31 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1235.17/164.31 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1235.17/164.31 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1235.17/164.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1235.17/164.31 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1235.17/164.31 # Starting new_bool_3 with 136s (1) cores
% 1235.17/164.31 # Starting new_bool_1 with 136s (1) cores
% 1235.17/164.31 # new_bool_1 with pid 19213 completed with status 7
% 1235.17/164.31 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 130s (1) cores
% 1235.17/164.31 # new_bool_3 with pid 19212 completed with status 7
% 1235.17/164.31 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with pid 19211 completed with status 7
% 1235.17/164.31 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19210 completed with status 7
% 1235.17/164.31 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 23477 completed with status 0
% 1235.17/164.31 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 1235.17/164.31 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1235.17/164.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1235.17/164.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1235.17/164.31 # No SInE strategy applied
% 1235.17/164.31 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1235.17/164.31 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1235.17/164.31 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1235.17/164.31 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1235.17/164.31 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1235.17/164.31 # Starting new_bool_3 with 136s (1) cores
% 1235.17/164.31 # Starting new_bool_1 with 136s (1) cores
% 1235.17/164.31 # new_bool_1 with pid 19213 completed with status 7
% 1235.17/164.31 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 130s (1) cores
% 1235.17/164.31 # Preprocessing time : 0.002 s
% 1235.17/164.31
% 1235.17/164.31 # Proof found!
% 1235.17/164.31 # SZS status Theorem
% 1235.17/164.31 # SZS output start CNFRefutation
% See solution above
% 1235.17/164.31 # Parsed axioms : 86
% 1235.17/164.31 # Removed by relevancy pruning/SinE : 0
% 1235.17/164.31 # Initial clauses : 136
% 1235.17/164.31 # Removed in clause preprocessing : 18
% 1235.17/164.31 # Initial clauses in saturation : 118
% 1235.17/164.31 # Processed clauses : 85232
% 1235.17/164.31 # ...of these trivial : 2729
% 1235.17/164.31 # ...subsumed : 52920
% 1235.17/164.31 # ...remaining for further processing : 29583
% 1235.17/164.31 # Other redundant clauses eliminated : 3
% 1235.17/164.31 # Clauses deleted for lack of memory : 0
% 1235.17/164.31 # Backward-subsumed : 89
% 1235.17/164.31 # Backward-rewritten : 2045
% 1235.17/164.31 # Generated clauses : 533026
% 1235.17/164.31 # ...of the previous two non-redundant : 509804
% 1235.17/164.31 # ...aggressively subsumed : 0
% 1235.17/164.31 # Contextual simplify-reflections : 423
% 1235.17/164.31 # Paramodulations : 531667
% 1235.17/164.31 # Factorizations : 0
% 1235.17/164.31 # NegExts : 0
% 1235.17/164.31 # Equation resolutions : 1359
% 1235.17/164.31 # Total rewrite steps : 137487
% 1235.17/164.31 # Propositional unsat checks : 0
% 1235.17/164.31 # Propositional check models : 0
% 1235.17/164.31 # Propositional check unsatisfiable : 0
% 1235.17/164.31 # Propositional clauses : 0
% 1235.17/164.31 # Propositional clauses after purity: 0
% 1235.17/164.31 # Propositional unsat core size : 0
% 1235.17/164.31 # Propositional preprocessing time : 0.000
% 1235.17/164.31 # Propositional encoding time : 0.000
% 1235.17/164.31 # Propositional solver time : 0.000
% 1235.17/164.31 # Success case prop preproc time : 0.000
% 1235.17/164.31 # Success case prop encoding time : 0.000
% 1235.17/164.31 # Success case prop solver time : 0.000
% 1235.17/164.31 # Current number of processed clauses : 27446
% 1235.17/164.31 # Positive orientable unit clauses : 7822
% 1235.17/164.31 # Positive unorientable unit clauses: 22
% 1235.17/164.31 # Negative unit clauses : 2038
% 1235.17/164.31 # Non-unit-clauses : 17564
% 1235.17/164.31 # Current number of unprocessed clauses: 422423
% 1235.17/164.31 # ...number of literals in the above : 1247850
% 1235.17/164.31 # Current number of archived formulas : 0
% 1235.17/164.31 # Current number of archived clauses : 2134
% 1235.17/164.31 # Clause-clause subsumption calls (NU) : 20672771
% 1235.17/164.31 # Rec. Clause-clause subsumption calls : 8679316
% 1235.17/164.31 # Non-unit clause-clause subsumptions : 37923
% 1235.17/164.31 # Unit Clause-clause subsumption calls : 3677835
% 1235.17/164.31 # Rewrite failures with RHS unbound : 2
% 1235.17/164.31 # BW rewrite match attempts : 106477
% 1235.17/164.31 # BW rewrite match successes : 334
% 1235.17/164.31 # Condensation attempts : 0
% 1235.17/164.31 # Condensation successes : 0
% 1235.17/164.31 # Termbank termtop insertions : 14792608
% 1235.17/164.31
% 1235.17/164.31 # -------------------------------------------------
% 1235.17/164.31 # User time : 582.530 s
% 1235.17/164.31 # System time : 3.709 s
% 1235.17/164.31 # Total time : 586.239 s
% 1235.17/164.31 # Maximum resident set size: 2236 pages
% 1235.17/164.31
% 1235.17/164.31 # -------------------------------------------------
% 1235.17/164.31 # User time : 742.354 s
% 1235.17/164.31 # System time : 5.543 s
% 1235.17/164.31 # Total time : 747.897 s
% 1235.17/164.31 # Maximum resident set size: 1768 pages
% 1235.17/164.31 % E---3.1 exiting
%------------------------------------------------------------------------------