%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP620+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:44:23 PM UTC 2026
% Result : Theorem 70.46s 12.56s
% Output : CNFRefutation 70.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 46
% Syntax : Number of formulae : 255 ( 55 unt; 0 def)
% Number of atoms : 1304 ( 136 equ)
% Maximal formula atoms : 231 ( 5 avg)
% Number of connectives : 1709 ( 660 ~; 722 |; 228 &)
% ( 20 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 327 ( 12 sgn 183 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_autgroup,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc5_relat_1) ).
fof(l9_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = u1_struct_0(X1)
& k1_relat_1(X2) = k2_relat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_autgroup) ).
fof(t71_relat_1,axiom,
! [X1] :
( k2_relat_1(k6_relat_1(X1)) = X1
& k1_relat_1(k6_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t71_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : v1_relat_1(k6_relat_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',dt_k6_relat_1) ).
fof(d1_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( r2_hidden(X3,X2)
<=> ( v3_group_6(X3,X1,X1)
& v2_funct_1(X3) ) ) )
& ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
fof(dt_k1_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(t4_funct_4,axiom,
! [X1,X2] :
( r1_tarski(k6_partfun1(X1),k6_partfun1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+25.ax',t4_funct_4) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',redefinition_k6_partfun1) ).
fof(d5_xboole_0,axiom,
! [X1] :
( v1_xboole_0(X1)
<=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d5_xboole_0) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',redefinition_m2_fraenkel) ).
fof(t35_sysrel,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X1,k6_relat_1(k1_relat_1(X1)))
=> X1 = k6_relat_1(k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+126.ax',t35_sysrel) ).
fof(t2_xboole_1,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+80.ax',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+80.ax',dt_m1_pboole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',cc1_relat_1) ).
fof(t70_group_6,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v4_group_6(X3,X1,X2)
<=> ( v2_funct_1(X3)
& k9_group_6(X1,X2,X3) = u1_struct_0(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',t70_group_6) ).
fof(t5_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
fof(t16_relset_1,axiom,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X3,X1)
=> ( r1_tarski(X1,X2)
=> m2_relset_1(X4,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t16_relset_1) ).
fof(existence_m1_pboole,axiom,
! [X1] :
? [X2] : m1_pboole(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+80.ax',existence_m1_pboole) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(fc6_relat_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X1) )
=> ~ v1_xboole_0(k2_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc6_relat_1) ).
fof(t67_funct_1,axiom,
! [X1] : k2_funct_1(k6_relat_1(X1)) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',t67_funct_1) ).
fof(t66_partfun1,axiom,
! [X1,X2] :
( ( m2_relset_1(X2,X1,k1_xboole_0)
& v1_funct_1(X2) )
=> v2_funct_1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t66_partfun1) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( m2_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',dt_m2_fraenkel) ).
fof(t17_card_4,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> k1_card_1(X1) = np__0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t17_card_4) ).
fof(t21_pre_circ,axiom,
! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> k1_card_1(X1) = k1_card_1(k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+182.ax',t21_pre_circ) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_funct_1(k6_relat_1(X1))
& v1_relat_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',fc2_funct_1) ).
fof(t6_autgroup,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(k2_funct_1(X2),X1,X1)
& v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(k2_funct_1(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
fof(t73_group_6,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_group_6(X3,X2,X1)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ( X4 = k2_funct_1(X3)
& v4_group_6(X3,X2,X1) )
=> v4_group_6(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',t73_group_6) ).
fof(t65_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_relat_1(X1) = k1_xboole_0
<=> k2_relat_1(X1) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t65_relat_1) ).
fof(t51_card_1,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t51_card_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_relat_1(k1_relat_1(X1))
& v1_xboole_0(k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc7_relat_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',fc1_xboole_0) ).
fof(t21_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> r1_tarski(X1,k2_zfmisc_1(k1_relat_1(X1),k2_relat_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t21_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',cc1_funct_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(redefinition_k9_group_6,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> k9_group_6(X1,X2,X3) = k2_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',redefinition_k9_group_6) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',d1_relset_1) ).
fof(t17_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( r1_tarski(X2,X1)
=> v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',t17_fraenkel) ).
fof(rc1_fraenkel,axiom,
? [X1] :
( v1_fraenkel(X1)
& ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',rc1_fraenkel) ).
fof(t60_relat_1,axiom,
( k2_relat_1(k1_xboole_0) = k1_xboole_0
& k1_relat_1(k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t60_relat_1) ).
fof(fc4_relat_1,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc4_relat_1) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_funct_1(X2)
& v1_relat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',cc1_fraenkel) ).
fof(t47_card_1,axiom,
k1_card_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t47_card_1) ).
fof(t64_partfun1,axiom,
! [X1,X2] :
( ( m2_relset_1(X2,X1,k1_xboole_0)
& v1_funct_1(X2) )
=> X2 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t64_partfun1) ).
fof(c_0_46,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(assume_negation,[status(cth)],[t7_autgroup]) ).
fof(c_0_47,plain,
! [X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(c_0_48,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = u1_struct_0(X1)
& k1_relat_1(X2) = k2_relat_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[l9_autgroup]) ).
fof(c_0_49,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_50,plain,
! [X1120] :
( ~ v1_xboole_0(k1_relat_1(X1120))
| ~ v1_relat_1(X1120)
| v1_xboole_0(X1120) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_51,plain,
! [X1376] :
( k2_relat_1(k6_relat_1(X1376)) = X1376
& k1_relat_1(k6_relat_1(X1376)) = X1376 ),
inference(variable_rename,[status(thm)],[t71_relat_1]) ).
fof(c_0_52,plain,
! [X1402] : v1_relat_1(k6_relat_1(X1402)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_53,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( r2_hidden(X3,X2)
<=> ( v3_group_6(X3,X1,X1)
& v2_funct_1(X3) ) ) )
& ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_autgroup]) ).
fof(c_0_54,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_autgroup]) ).
fof(c_0_55,plain,
! [X50,X51] :
( ( ~ l1_group_1(X50)
| ~ v4_group_1(X50)
| ~ v3_group_1(X50)
| ~ v1_group_1(X50)
| v3_struct_0(X50)
| ~ m2_fraenkel(X51,u1_struct_0(X50),u1_struct_0(X50),k1_autgroup(X50))
| k1_relat_1(X51) = u1_struct_0(X50) )
& ( ~ l1_group_1(X50)
| ~ v4_group_1(X50)
| ~ v3_group_1(X50)
| ~ v1_group_1(X50)
| v3_struct_0(X50)
| ~ m2_fraenkel(X51,u1_struct_0(X50),u1_struct_0(X50),k1_autgroup(X50))
| k1_relat_1(X51) = k2_relat_1(X51) ) ),
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_48])])])])]) ).
fof(c_0_56,negated_conjecture,
( ~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
& m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_group_1(esk1_0)
& v1_group_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_57,plain,
! [X1088,X1089] :
( ( r1_tarski(k6_partfun1(X1088),k6_partfun1(X1089))
| ~ r1_tarski(X1088,X1089) )
& ( r1_tarski(X1088,X1089)
| ~ r1_tarski(k6_partfun1(X1088),k6_partfun1(X1089)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_funct_4])])]) ).
fof(c_0_58,plain,
! [X1087] : k6_partfun1(X1087) = k6_relat_1(X1087),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_59,plain,
! [X366] :
( ( v1_xboole_0(X366)
| X366 != k1_xboole_0 )
& ( X366 = k1_xboole_0
| ~ v1_xboole_0(X366) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])])]) ).
cnf(c_0_60,plain,
( ~ v1_xboole_0(k1_relat_1(X1))
| ~ v1_relat_1(X1)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
k1_relat_1(k6_relat_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
v1_relat_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_63,plain,
! [X40,X41,X42,X43] :
( ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| r2_hidden(esk7_2(X40,X41),X41)
| v3_group_6(esk7_2(X40,X41),X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| r2_hidden(esk7_2(X40,X41),X41)
| v2_funct_1(esk7_2(X40,X41)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v3_group_6(esk7_2(X40,X41),X40,X40)
| ~ v2_funct_1(esk7_2(X40,X41))
| ~ r2_hidden(esk7_2(X40,X41),X41) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| m2_relset_1(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| v1_group_6(esk7_2(X40,X41),X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| v1_funct_2(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| v1_funct_1(esk7_2(X40,X41)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| r2_hidden(esk7_2(X40,X41),X41)
| v3_group_6(esk7_2(X40,X41),X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| r2_hidden(esk7_2(X40,X41),X41)
| v2_funct_1(esk7_2(X40,X41)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| ~ v3_group_6(esk7_2(X40,X41),X40,X40)
| ~ v2_funct_1(esk7_2(X40,X41))
| ~ r2_hidden(esk7_2(X40,X41),X41) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| m2_relset_1(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_group_6(esk7_2(X40,X41),X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_funct_2(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_funct_1(esk7_2(X40,X41)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(X43)
| r2_hidden(X43,X41)
| ~ v3_group_6(X43,X40,X40)
| ~ v2_funct_1(X43) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(X43)
| ~ r2_hidden(X43,X41)
| v3_group_6(X43,X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(X43)
| ~ r2_hidden(X43,X41)
| v2_funct_1(X43) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| m2_relset_1(X42,u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_group_6(X42,X40,X40) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_funct_2(X42,u1_struct_0(X40),u1_struct_0(X40)) )
& ( ~ l1_group_1(X40)
| ~ v4_group_1(X40)
| ~ v3_group_1(X40)
| ~ v1_group_1(X40)
| v3_struct_0(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| v1_funct_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_53])])])])])]) ).
fof(c_0_64,plain,
! [X39] :
( m1_fraenkel(k1_autgroup(X39),u1_struct_0(X39),u1_struct_0(X39))
| ~ l1_group_1(X39)
| ~ v4_group_1(X39)
| ~ v3_group_1(X39)
| ~ v1_group_1(X39)
| v3_struct_0(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_65,plain,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_66,plain,
! [X1457] :
( X1457 = k6_relat_1(k1_relat_1(X1457))
| ~ r1_tarski(X1457,k6_relat_1(k1_relat_1(X1457)))
| ~ v1_relat_1(X1457) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_sysrel])])]) ).
cnf(c_0_67,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| k1_relat_1(X1) = u1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_70,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_71,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_72,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_73,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_74,plain,
( ~ r1_tarski(k6_partfun1(X1),k6_partfun1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_75,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_76,plain,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_77,plain,
( ~ v1_xboole_0(X1)
| v1_xboole_0(k6_relat_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
fof(c_0_78,plain,
! [X368] : r1_tarski(k1_xboole_0,X368),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_79,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| X3 != k1_autgroup(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| v3_struct_0(X2)
| m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_80,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_81,plain,
! [X1159,X1160] :
( ( ~ v1_funct_1(X1160)
| ~ v1_relat_1(X1160)
| m1_pboole(X1160,X1159)
| k1_relat_1(X1160) != X1159 )
& ( ~ v1_funct_1(X1160)
| ~ v1_relat_1(X1160)
| k1_relat_1(X1160) = X1159
| ~ m1_pboole(X1160,X1159) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])])]) ).
fof(c_0_82,plain,
! [X3242,X3243] :
( ( ~ m1_pboole(X3243,X3242)
| v1_funct_1(X3243) )
& ( ~ m1_pboole(X3243,X3242)
| v1_relat_1(X3243) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])])]) ).
fof(c_0_83,plain,
! [X951,X952,X953,X954] :
( ( ~ m1_fraenkel(X953,X951,X952)
| v1_xboole_0(X952)
| m2_fraenkel(X954,X951,X952,X953)
| ~ m1_subset_1(X954,X953) )
& ( ~ m1_fraenkel(X953,X951,X952)
| v1_xboole_0(X952)
| m1_subset_1(X954,X953)
| ~ m2_fraenkel(X954,X951,X952,X953) ) ),
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_65])])])])]) ).
cnf(c_0_84,plain,
( ~ r1_tarski(X1,k6_relat_1(k1_relat_1(X1)))
| ~ v1_relat_1(X1)
| X1 = k6_relat_1(k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_85,negated_conjecture,
k1_relat_1(esk2_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_86,plain,
( ~ r1_tarski(k6_relat_1(X1),k6_relat_1(X2))
| r1_tarski(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75]) ).
cnf(c_0_87,plain,
( ~ v1_xboole_0(X1)
| k6_relat_1(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_88,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_89,plain,
! [X524] :
( v1_relat_1(X524)
| ~ v1_xboole_0(X524) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])])]) ).
fof(c_0_90,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v4_group_6(X3,X1,X2)
<=> ( v2_funct_1(X3)
& k9_group_6(X1,X2,X3) = u1_struct_0(X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t70_group_6]) ).
cnf(c_0_91,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| X3 != k1_autgroup(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| v3_struct_0(X2)
| v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_92,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| X3 != k1_autgroup(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| v3_struct_0(X2)
| v1_group_6(X1,X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_93,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| X3 != k1_autgroup(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| v3_struct_0(X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_94,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t5_autgroup]) ).
fof(c_0_95,plain,
! [X479,X480,X481,X482] :
( m2_relset_1(X482,X481,X480)
| ~ r1_tarski(X479,X480)
| ~ m2_relset_1(X482,X481,X479) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])])]) ).
cnf(c_0_96,plain,
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_79]),c_0_80]) ).
cnf(c_0_97,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m1_pboole(X1,X2)
| k1_relat_1(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_98,plain,
( ~ m1_pboole(X1,X2)
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,plain,
( ~ m1_pboole(X1,X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_100,plain,
! [X3244] : m1_pboole(esk281_1(X3244),X3244),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_pboole])]) ).
fof(c_0_101,plain,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
cnf(c_0_102,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| m1_subset_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_103,plain,
! [X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X1) )
=> ~ v1_xboole_0(k2_relat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc6_relat_1]) ).
fof(c_0_104,plain,
! [X85] : k2_funct_1(k6_relat_1(X85)) = k6_relat_1(X85),
inference(variable_rename,[status(thm)],[t67_funct_1]) ).
cnf(c_0_105,negated_conjecture,
( ~ r1_tarski(esk2_0,k6_relat_1(u1_struct_0(esk1_0)))
| ~ v1_relat_1(esk2_0)
| k6_relat_1(u1_struct_0(esk1_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_106,plain,
( ~ v1_xboole_0(X1)
| r1_tarski(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_107,plain,
( ~ v1_xboole_0(X1)
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_108,plain,
! [X1102,X1103,X1104] :
( ( ~ l1_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ v3_group_1(X1102)
| v3_struct_0(X1102)
| ~ l1_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ v3_group_1(X1103)
| v3_struct_0(X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_funct_1(X1104)
| v4_group_6(X1104,X1102,X1103)
| ~ v2_funct_1(X1104)
| k9_group_6(X1102,X1103,X1104) != u1_struct_0(X1103) )
& ( ~ l1_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ v3_group_1(X1102)
| v3_struct_0(X1102)
| ~ l1_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ v3_group_1(X1103)
| v3_struct_0(X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_funct_1(X1104)
| ~ v4_group_6(X1104,X1102,X1103)
| v2_funct_1(X1104) )
& ( ~ l1_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ v3_group_1(X1102)
| v3_struct_0(X1102)
| ~ l1_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ v3_group_1(X1103)
| v3_struct_0(X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_funct_1(X1104)
| ~ v4_group_6(X1104,X1102,X1103)
| k9_group_6(X1102,X1103,X1104) = u1_struct_0(X1103) ) ),
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_90])])])])]) ).
cnf(c_0_109,plain,
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_80]) ).
cnf(c_0_110,plain,
( ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| v3_struct_0(X2)
| v1_group_6(X1,X2,X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_92]),c_0_80]) ).
cnf(c_0_111,plain,
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| v1_funct_1(X2)
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_80]) ).
fof(c_0_112,plain,
! [X48,X49] :
( ( ~ l1_group_1(X48)
| ~ v4_group_1(X48)
| ~ v3_group_1(X48)
| ~ v1_group_1(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_group_6(X49,X48,X48)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| r2_hidden(X49,k1_autgroup(X48))
| ~ v4_group_6(X49,X48,X48) )
& ( ~ l1_group_1(X48)
| ~ v4_group_1(X48)
| ~ v3_group_1(X48)
| ~ v1_group_1(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_group_6(X49,X48,X48)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v4_group_6(X49,X48,X48)
| ~ r2_hidden(X49,k1_autgroup(X48)) ) ),
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_94])])])])]) ).
fof(c_0_113,plain,
! [X1000,X1001] :
( v2_funct_1(X1001)
| ~ m2_relset_1(X1001,X1000,k1_xboole_0)
| ~ v1_funct_1(X1001) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t66_partfun1])])]) ).
cnf(c_0_114,plain,
( ~ r1_tarski(X3,X4)
| ~ m2_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_115,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
fof(c_0_116,plain,
! [X1,X2,X3] :
( ( m1_fraenkel(X3,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( m2_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
fof(c_0_117,plain,
! [X788] :
( ( X788 = k1_xboole_0
| k1_card_1(X788) != np__0 )
& ( k1_card_1(X788) = np__0
| X788 != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_card_4])])]) ).
fof(c_0_118,plain,
! [X2839] :
( k1_card_1(X2839) = k1_card_1(k1_relat_1(X2839))
| ~ v1_funct_1(X2839)
| ~ v1_relat_1(X2839) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_pre_circ])])]) ).
fof(c_0_119,plain,
! [X1403] :
( v1_funct_1(k6_relat_1(X1403))
& v1_relat_1(k6_relat_1(X1403)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
cnf(c_0_120,plain,
( ~ m1_pboole(X1,X2)
| k1_relat_1(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_121,plain,
m1_pboole(esk281_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_122,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& v1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(k2_funct_1(X2),X1,X1)
& v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(k2_funct_1(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t6_autgroup]) ).
fof(c_0_123,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_group_6(X3,X2,X1)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ( X4 = k2_funct_1(X3)
& v4_group_6(X3,X2,X1) )
=> v4_group_6(X4,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t73_group_6]) ).
fof(c_0_124,plain,
! [X516,X517] :
( ( ~ v1_xboole_0(X516)
| m1_subset_1(X517,X516)
| ~ v1_xboole_0(X517) )
& ( ~ v1_xboole_0(X516)
| v1_xboole_0(X517)
| ~ m1_subset_1(X517,X516) )
& ( v1_xboole_0(X516)
| m1_subset_1(X517,X516)
| ~ r2_hidden(X517,X516) )
& ( v1_xboole_0(X516)
| r2_hidden(X517,X516)
| ~ m1_subset_1(X517,X516) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])]) ).
cnf(c_0_125,negated_conjecture,
( ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk2_0,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_68]) ).
fof(c_0_126,plain,
! [X1166] :
( ~ v1_xboole_0(k2_relat_1(X1166))
| ~ v1_relat_1(X1166)
| v1_xboole_0(X1166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
fof(c_0_127,plain,
! [X1132] :
( ( ~ v1_relat_1(X1132)
| k1_relat_1(X1132) = k1_xboole_0
| k2_relat_1(X1132) != k1_xboole_0 )
& ( ~ v1_relat_1(X1132)
| k2_relat_1(X1132) = k1_xboole_0
| k1_relat_1(X1132) != k1_xboole_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t65_relat_1])])])]) ).
cnf(c_0_128,plain,
k2_funct_1(k6_relat_1(X1)) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_129,negated_conjecture,
( ~ v1_xboole_0(esk2_0)
| k6_relat_1(u1_struct_0(esk1_0)) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_130,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ v4_group_6(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v2_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_131,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_132,negated_conjecture,
v1_group_6(esk2_0,esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_133,negated_conjecture,
v1_funct_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_134,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ r2_hidden(X1,k1_autgroup(X2))
| v3_struct_0(X2)
| v4_group_6(X1,X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_135,plain,
( ~ m2_relset_1(X1,X2,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_136,negated_conjecture,
( ~ r1_tarski(u1_struct_0(esk1_0),X1)
| m2_relset_1(esk2_0,u1_struct_0(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_137,plain,
! [X943,X944,X945,X946] :
( ( ~ m1_fraenkel(X945,X943,X944)
| v1_xboole_0(X944)
| ~ m2_fraenkel(X946,X943,X944,X945)
| m2_relset_1(X946,X943,X944) )
& ( ~ m1_fraenkel(X945,X943,X944)
| v1_xboole_0(X944)
| ~ m2_fraenkel(X946,X943,X944,X945)
| v1_funct_2(X946,X943,X944) )
& ( ~ m1_fraenkel(X945,X943,X944)
| v1_xboole_0(X944)
| ~ m2_fraenkel(X946,X943,X944,X945)
| v1_funct_1(X946) ) ),
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_116])])])])]) ).
cnf(c_0_138,plain,
( k1_card_1(X1) != np__0
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_139,plain,
np__0 = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t51_card_1]) ).
cnf(c_0_140,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_card_1(X1) = k1_card_1(k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_141,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_142,plain,
! [X1121] :
( ( ~ v1_xboole_0(X1121)
| v1_relat_1(k1_relat_1(X1121)) )
& ( ~ v1_xboole_0(X1121)
| v1_xboole_0(k1_relat_1(X1121)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])])]) ).
cnf(c_0_143,plain,
k1_relat_1(esk281_1(X1)) = X1,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_144,plain,
v1_funct_1(esk281_1(X1)),
inference(spm,[status(thm)],[c_0_99,c_0_121]) ).
cnf(c_0_145,plain,
v1_relat_1(esk281_1(X1)),
inference(spm,[status(thm)],[c_0_98,c_0_121]) ).
fof(c_0_146,plain,
! [X52,X53] :
( ( ~ l1_group_1(X52)
| ~ v4_group_1(X52)
| ~ v3_group_1(X52)
| ~ v1_group_1(X52)
| v3_struct_0(X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| m2_relset_1(k2_funct_1(X53),u1_struct_0(X52),u1_struct_0(X52)) )
& ( ~ l1_group_1(X52)
| ~ v4_group_1(X52)
| ~ v3_group_1(X52)
| ~ v1_group_1(X52)
| v3_struct_0(X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v1_group_6(k2_funct_1(X53),X52,X52) )
& ( ~ l1_group_1(X52)
| ~ v4_group_1(X52)
| ~ v3_group_1(X52)
| ~ v1_group_1(X52)
| v3_struct_0(X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v1_funct_2(k2_funct_1(X53),u1_struct_0(X52),u1_struct_0(X52)) )
& ( ~ l1_group_1(X52)
| ~ v4_group_1(X52)
| ~ v3_group_1(X52)
| ~ v1_group_1(X52)
| v3_struct_0(X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v1_funct_1(k2_funct_1(X53)) ) ),
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_122])])])])]) ).
fof(c_0_147,plain,
! [X1111,X1112,X1113,X1114] :
( v4_group_6(X1114,X1111,X1112)
| X1114 != k2_funct_1(X1113)
| ~ v4_group_6(X1113,X1112,X1111)
| ~ m2_relset_1(X1114,u1_struct_0(X1111),u1_struct_0(X1112))
| ~ v1_group_6(X1114,X1111,X1112)
| ~ v1_funct_2(X1114,u1_struct_0(X1111),u1_struct_0(X1112))
| ~ v1_funct_1(X1114)
| ~ m2_relset_1(X1113,u1_struct_0(X1112),u1_struct_0(X1111))
| ~ v1_group_6(X1113,X1112,X1111)
| ~ v1_funct_2(X1113,u1_struct_0(X1112),u1_struct_0(X1111))
| ~ v1_funct_1(X1113)
| ~ l1_group_1(X1112)
| ~ v4_group_1(X1112)
| ~ v3_group_1(X1112)
| v3_struct_0(X1112)
| ~ l1_group_1(X1111)
| ~ v4_group_1(X1111)
| ~ v3_group_1(X1111)
| v3_struct_0(X1111) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])]) ).
cnf(c_0_148,plain,
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_149,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_80]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_150,plain,
( ~ v1_xboole_0(k2_relat_1(X1))
| ~ v1_relat_1(X1)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_151,plain,
( ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_xboole_0
| k2_relat_1(X1) = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_152,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_153,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_154,negated_conjecture,
( ~ v1_xboole_0(esk2_0)
| k2_funct_1(esk2_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_155,negated_conjecture,
( ~ v4_group_6(esk2_0,esk1_0,esk1_0)
| v2_funct_1(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_69]),c_0_70]),c_0_72]),c_0_115]),c_0_133])]),c_0_73]) ).
cnf(c_0_156,negated_conjecture,
( ~ r2_hidden(esk2_0,k1_autgroup(esk1_0))
| v4_group_6(esk2_0,esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_131]),c_0_132]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_115]),c_0_133])]),c_0_73]) ).
cnf(c_0_157,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_158,negated_conjecture,
( ~ r1_tarski(u1_struct_0(esk1_0),k1_xboole_0)
| v2_funct_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_133])]) ).
cnf(c_0_159,plain,
( ~ m1_fraenkel(X4,X2,X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| v1_xboole_0(X3)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_160,plain,
( k1_card_1(X1) != k1_xboole_0
| X1 = k1_xboole_0 ),
inference(rw,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_161,plain,
k1_card_1(k6_relat_1(X1)) = k1_card_1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_61]),c_0_141]),c_0_62])]) ).
cnf(c_0_162,plain,
( ~ v1_xboole_0(X1)
| v1_relat_1(k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_163,plain,
k1_card_1(esk281_1(X1)) = k1_card_1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_143]),c_0_144]),c_0_145])]) ).
cnf(c_0_164,plain,
( ~ m1_fraenkel(X2,X3,X4)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X4)
| m2_fraenkel(X1,X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_165,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_166,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| v1_group_6(k2_funct_1(X1),X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_167,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_168,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| v1_funct_1(k2_funct_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_169,plain,
( X4 != k2_funct_1(X3)
| ~ v4_group_6(X3,X2,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v4_group_6(X4,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_170,negated_conjecture,
( ~ v1_xboole_0(k1_autgroup(esk1_0))
| v1_xboole_0(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_171,plain,
( ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_xboole_0
| v1_xboole_0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]) ).
cnf(c_0_172,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_68])]) ).
cnf(c_0_173,negated_conjecture,
( ~ r2_hidden(esk2_0,k1_autgroup(esk1_0))
| v2_funct_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_174,negated_conjecture,
( r2_hidden(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_149]) ).
cnf(c_0_175,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| v2_funct_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_106]) ).
fof(c_0_176,plain,
! [X1128] :
( r1_tarski(X1128,k2_zfmisc_1(k1_relat_1(X1128),k2_relat_1(X1128)))
| ~ v1_relat_1(X1128) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_relat_1])])]) ).
cnf(c_0_177,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| k1_relat_1(X1) = k2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_178,plain,
! [X526] :
( v1_funct_1(X526)
| ~ v1_xboole_0(X526) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])])]) ).
cnf(c_0_179,negated_conjecture,
( ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_68]) ).
cnf(c_0_180,plain,
( k1_card_1(X1) != k1_xboole_0
| k6_relat_1(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_181,plain,
( ~ v1_xboole_0(esk281_1(X1))
| v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_143]) ).
cnf(c_0_182,plain,
( k1_card_1(X1) != k1_xboole_0
| esk281_1(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_163]) ).
cnf(c_0_183,negated_conjecture,
( ~ m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_153,c_0_164]) ).
fof(c_0_184,plain,
! [X809,X810] :
( m1_subset_1(X809,X810)
| ~ r2_hidden(X809,X810) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_185,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ v4_group_6(X1,X2,X2)
| v3_struct_0(X2)
| r2_hidden(X1,k1_autgroup(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_186,negated_conjecture,
v1_funct_2(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_187,negated_conjecture,
v1_group_6(k2_funct_1(esk2_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_188,negated_conjecture,
m2_relset_1(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_189,negated_conjecture,
v1_funct_1(k2_funct_1(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_190,plain,
( ~ v1_funct_1(X1)
| ~ v1_funct_1(k2_funct_1(X1))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ v1_group_6(X1,X3,X2)
| ~ v1_group_6(k2_funct_1(X1),X2,X3)
| ~ v4_group_6(X1,X3,X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v4_group_6(k2_funct_1(X1),X2,X3) ),
inference(er,[status(thm)],[c_0_169]) ).
cnf(c_0_191,negated_conjecture,
( ~ v1_relat_1(k1_autgroup(esk1_0))
| k1_relat_1(k1_autgroup(esk1_0)) != k1_xboole_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_192,negated_conjecture,
( v1_xboole_0(k1_autgroup(esk1_0))
| v2_funct_1(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
fof(c_0_193,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> k9_group_6(X1,X2,X3) = k2_relat_1(X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_group_6]) ).
fof(c_0_194,plain,
! [X3348,X3349,X3350] :
( ( m1_relset_1(X3350,X3348,X3349)
| ~ r1_tarski(X3350,k2_zfmisc_1(X3348,X3349)) )
& ( r1_tarski(X3350,k2_zfmisc_1(X3348,X3349))
| ~ m1_relset_1(X3350,X3348,X3349) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])]) ).
cnf(c_0_195,plain,
( ~ v1_relat_1(X1)
| r1_tarski(X1,k2_zfmisc_1(k1_relat_1(X1),k2_relat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_196,negated_conjecture,
k2_relat_1(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_177,c_0_68]),c_0_85]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_197,plain,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_198,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_80]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_199,plain,
( k1_card_1(X1) != k1_xboole_0
| r1_tarski(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_180]),c_0_88])]) ).
cnf(c_0_200,plain,
( k1_card_1(X1) != k1_xboole_0
| v1_relat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_152])]) ).
fof(c_0_201,plain,
! [X3375,X3376] :
( v1_fraenkel(X3376)
| ~ r1_tarski(X3376,X3375)
| ~ v1_fraenkel(X3375) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_fraenkel])])])]) ).
fof(c_0_202,plain,
? [X1] :
( v1_fraenkel(X1)
& ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[rc1_fraenkel]) ).
cnf(c_0_203,negated_conjecture,
( ~ m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_80]),c_0_69]),c_0_70]),c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_204,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_205,negated_conjecture,
( ~ v4_group_6(k2_funct_1(esk2_0),esk1_0,esk1_0)
| r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_188]),c_0_189])]),c_0_73]) ).
cnf(c_0_206,negated_conjecture,
( ~ v4_group_6(esk2_0,esk1_0,esk1_0)
| v4_group_6(k2_funct_1(esk2_0),esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_190,c_0_186]),c_0_187]),c_0_132]),c_0_69]),c_0_70]),c_0_72]),c_0_131]),c_0_188]),c_0_115]),c_0_189]),c_0_133])]),c_0_73]) ).
cnf(c_0_207,negated_conjecture,
( ~ v1_relat_1(k1_autgroup(esk1_0))
| k1_relat_1(k1_autgroup(esk1_0)) != k1_xboole_0
| v2_funct_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_191]) ).
cnf(c_0_208,negated_conjecture,
( v2_funct_1(esk2_0)
| k1_autgroup(esk1_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_192]) ).
cnf(c_0_209,plain,
k1_relat_1(k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t60_relat_1]) ).
cnf(c_0_210,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]) ).
fof(c_0_211,plain,
! [X3436,X3437,X3438] :
( k9_group_6(X3436,X3437,X3438) = k2_relat_1(X3438)
| ~ m1_relset_1(X3438,u1_struct_0(X3436),u1_struct_0(X3437))
| ~ v1_group_6(X3438,X3436,X3437)
| ~ v1_funct_2(X3438,u1_struct_0(X3436),u1_struct_0(X3437))
| ~ v1_funct_1(X3438)
| ~ l1_group_1(X3437)
| ~ v4_group_1(X3437)
| ~ v3_group_1(X3437)
| v3_struct_0(X3437)
| ~ l1_group_1(X3436)
| ~ v4_group_1(X3436)
| ~ v3_group_1(X3436)
| v3_struct_0(X3436) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_193])])]) ).
cnf(c_0_212,plain,
( ~ r1_tarski(X1,k2_zfmisc_1(X2,X3))
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_213,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| r1_tarski(esk2_0,k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_85]) ).
cnf(c_0_214,plain,
( ~ v1_xboole_0(X1)
| v1_xboole_0(esk281_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_143]),c_0_145])]) ).
cnf(c_0_215,plain,
( ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_xboole_0
| v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_197,c_0_171]) ).
cnf(c_0_216,negated_conjecture,
( v1_funct_1(esk2_0)
| u1_struct_0(esk1_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_198]) ).
cnf(c_0_217,negated_conjecture,
( k1_card_1(esk2_0) != k1_xboole_0
| k6_relat_1(u1_struct_0(esk1_0)) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_199]),c_0_200]) ).
fof(c_0_218,plain,
! [X3364,X3365] :
( ( ~ v1_fraenkel(X3364)
| ~ m1_subset_1(X3365,X3364)
| v1_funct_1(X3365) )
& ( ~ v1_fraenkel(X3364)
| ~ m1_subset_1(X3365,X3364)
| v1_relat_1(X3365) ) ),
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_219,plain,
( ~ r1_tarski(X2,X1)
| ~ v1_fraenkel(X1)
| v1_fraenkel(X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
fof(c_0_220,plain,
( v1_fraenkel(esk293_0)
& ~ v1_xboole_0(esk293_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_202])])]) ).
cnf(c_0_221,negated_conjecture,
( ~ r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_222,negated_conjecture,
( ~ v4_group_6(esk2_0,esk1_0,esk1_0)
| r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_223,plain,
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v2_funct_1(X3)
| k9_group_6(X1,X2,X3) != u1_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_224,negated_conjecture,
v2_funct_1(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_210])]) ).
cnf(c_0_225,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k9_group_6(X1,X2,X3) = k2_relat_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_226,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_227,plain,
( ~ v1_xboole_0(X1)
| esk281_1(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_214]) ).
cnf(c_0_228,plain,
k1_card_1(k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t47_card_1]) ).
cnf(c_0_229,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| v1_funct_1(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_85]),c_0_216]) ).
cnf(c_0_230,negated_conjecture,
( k1_card_1(esk2_0) != k1_xboole_0
| k2_funct_1(esk2_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_128,c_0_217]) ).
fof(c_0_231,plain,
! [X414,X415] :
( X415 = k1_xboole_0
| ~ m2_relset_1(X415,X414,k1_xboole_0)
| ~ v1_funct_1(X415) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_partfun1])])]) ).
cnf(c_0_232,plain,
( ~ v1_fraenkel(X2)
| ~ m1_subset_1(X1,X2)
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_233,plain,
( ~ v1_xboole_0(X1)
| ~ v1_fraenkel(X2)
| v1_fraenkel(X1) ),
inference(spm,[status(thm)],[c_0_219,c_0_106]) ).
cnf(c_0_234,plain,
v1_fraenkel(esk293_0),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_235,negated_conjecture,
( ~ v4_group_6(esk2_0,esk1_0,esk1_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_236,negated_conjecture,
( k9_group_6(esk1_0,esk1_0,esk2_0) != u1_struct_0(esk1_0)
| v4_group_6(esk2_0,esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_131]),c_0_132]),c_0_69]),c_0_70]),c_0_72]),c_0_115]),c_0_224]),c_0_133])]),c_0_73]) ).
cnf(c_0_237,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| k9_group_6(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_196]),c_0_132]),c_0_69]),c_0_70]),c_0_72]),c_0_131]),c_0_133])]),c_0_73]) ).
cnf(c_0_238,plain,
( ~ v1_xboole_0(X1)
| k1_card_1(X1) = k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_227]),c_0_228]) ).
cnf(c_0_239,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| k1_card_1(u1_struct_0(esk1_0)) = k1_card_1(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_85]),c_0_229]) ).
cnf(c_0_240,negated_conjecture,
k1_card_1(esk2_0) != k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_230]),c_0_68])]) ).
cnf(c_0_241,plain,
( ~ m2_relset_1(X1,X2,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_242,negated_conjecture,
( ~ v1_fraenkel(k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_232,c_0_149]) ).
cnf(c_0_243,plain,
( ~ v1_xboole_0(X1)
| v1_fraenkel(X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_244,negated_conjecture,
( ~ r2_hidden(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_235,c_0_156]) ).
cnf(c_0_245,negated_conjecture,
( ~ v1_relat_1(esk2_0)
| v4_group_6(esk2_0,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_246,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ v1_relat_1(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).
cnf(c_0_247,negated_conjecture,
( ~ r1_tarski(u1_struct_0(esk1_0),k1_xboole_0)
| esk2_0 = k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_136]),c_0_133])]) ).
cnf(c_0_248,negated_conjecture,
( ~ v1_xboole_0(k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_249,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_244,c_0_174]) ).
cnf(c_0_250,negated_conjecture,
~ v1_relat_1(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_245]),c_0_246]) ).
cnf(c_0_251,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| esk2_0 = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_106]) ).
cnf(c_0_252,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
cnf(c_0_253,negated_conjecture,
esk2_0 = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252])]) ).
cnf(c_0_254,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_253]),c_0_210])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP620+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n001.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 20:24:13 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.46/12.56 % Version: 3.5.1
% 70.46/12.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 70.46/12.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.46/12.56 % Starting new_bool_3 with 900s (3) cores
% 70.46/12.56 % Starting new_bool_1 with 900s (3) cores
% 70.46/12.56 % Starting sh5l with 300s (1) cores
% 70.46/12.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 70.46/12.56 % new_bool_3 with pid 1328265 completed with status 0
% 70.46/12.56 % Result found by new_bool_3
% 70.46/12.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 70.46/12.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.46/12.56 % Starting new_bool_3 with 900s (3) cores
% 70.46/12.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 70.46/12.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 70.46/12.56 % Search class: FGHSM-SMLM32-MFFFFFNN
% 70.46/12.56 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 70.46/12.56 % Starting SubtermCWHack with 82s (1) cores
% 70.46/12.56 % Starting new_bool_3 with 91s (1) cores
% 70.46/12.56 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 70.46/12.56 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 1328272 completed with status 0
% 70.46/12.56 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 70.46/12.56 % Preprocessing class: FMLLSMLLSSSNFFN.
% 70.46/12.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.46/12.56 % Starting new_bool_3 with 900s (3) cores
% 70.46/12.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 70.46/12.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 70.46/12.56 % Search class: FGHSM-SMLM32-MFFFFFNN
% 70.46/12.56 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 70.46/12.56 % Starting SubtermCWHack with 82s (1) cores
% 70.46/12.56 % Starting new_bool_3 with 91s (1) cores
% 70.46/12.56 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 70.46/12.56 % Preprocessing time : 0.079 s
% 70.46/12.56 % Presaturation interreduction done
% 70.46/12.56
% 70.46/12.56 % Proof found!
% 70.46/12.56 % SZS status Theorem
% 70.46/12.56 % SZS output start CNFRefutation
% See solution above
% 70.46/12.56 % Parsed axioms : 12883
% 70.46/12.56 % Removed by relevancy pruning/SinE : 11112
% 70.46/12.56 % Initial clauses : 3502
% 70.46/12.56 % Removed in clause preprocessing : 114
% 70.46/12.56 % Initial clauses in saturation : 3388
% 70.46/12.56 % Processed clauses : 32397
% 70.46/12.56 % ...of these trivial : 263
% 70.46/12.56 % ...subsumed : 21030
% 70.46/12.56 % ...remaining for further processing : 11104
% 70.46/12.56 % Other redundant clauses eliminated : 1927
% 70.46/12.56 % Clauses deleted for lack of memory : 0
% 70.46/12.56 % Backward-subsumed : 817
% 70.46/12.56 % Backward-rewritten : 642
% 70.46/12.56 % Generated clauses : 180948
% 70.46/12.56 % ...of the previous two non-redundant : 163927
% 70.46/12.56 % ...aggressively subsumed : 0
% 70.46/12.56 % Contextual simplify-reflections : 310
% 70.46/12.56 % Paramodulations : 178970
% 70.46/12.56 % Factorizations : 20
% 70.46/12.56 % NegExts : 0
% 70.46/12.56 % Equation resolutions : 1980
% 70.46/12.56 % Disequality decompositions : 0
% 70.46/12.56 % Total rewrite steps : 61105
% 70.46/12.56 % ...of those cached : 56333
% 70.46/12.56 % Propositional unsat checks : 2
% 70.46/12.56 % Propositional check models : 1
% 70.46/12.56 % Propositional check unsatisfiable : 0
% 70.46/12.56 % Propositional clauses : 0
% 70.46/12.56 % Propositional clauses after purity: 0
% 70.46/12.56 % Propositional unsat core size : 0
% 70.46/12.56 % Propositional preprocessing time : 0.000
% 70.46/12.56 % Propositional encoding time : 0.260
% 70.46/12.56 % Propositional solver time : 0.203
% 70.46/12.56 % Success case prop preproc time : 0.000
% 70.46/12.56 % Success case prop encoding time : 0.000
% 70.46/12.56 % Success case prop solver time : 0.000
% 70.46/12.56 % Current number of processed clauses : 6133
% 70.46/12.56 % Positive orientable unit clauses : 963
% 70.46/12.56 % Positive unorientable unit clauses: 4
% 70.46/12.56 % Negative unit clauses : 1213
% 70.46/12.56 % Non-unit-clauses : 3953
% 70.46/12.56 % Current number of unprocessed clauses: 136586
% 70.46/12.56 % ...number of literals in the above : 700388
% 70.46/12.56 % Current number of archived formulas : 0
% 70.46/12.56 % Current number of archived clauses : 4593
% 70.46/12.56 % Clause-clause subsumption calls (NU) : 15013734
% 70.46/12.56 % Rec. Clause-clause subsumption calls : 2493381
% 70.46/12.56 % Non-unit clause-clause subsumptions : 8453
% 70.46/12.56 % Unit Clause-clause subsumption calls : 720664
% 70.46/12.56 % Rewrite failures with RHS unbound : 114
% 70.46/12.56 % BW rewrite match attempts : 1842
% 70.46/12.56 % BW rewrite match successes : 359
% 70.46/12.56 % Condensation attempts : 0
% 70.46/12.56 % Condensation successes : 0
% 70.46/12.56 % Termbank termtop insertions : 4459061
% 70.46/12.56 % Search garbage collected termcells : 163523
% 70.46/12.56
% 70.46/12.56 % -------------------------------------------------
% 70.46/12.56 % User time : 9.817 s
% 70.46/12.56 % System time : 0.259 s
% 70.46/12.56 % Total time : 10.076 s
% 70.46/12.56 % Maximum resident set size: 33248 pages
% 70.46/12.56
% 70.46/12.56 % -------------------------------------------------
% 70.46/12.56 % User time : 30.883 s
% 70.46/12.56 % System time : 0.795 s
% 70.46/12.56 % Total time : 31.678 s
% 70.46/12.56 % Maximum resident set size: 22272 pages
% 70.46/12.56 % E exiting
%------------------------------------------------------------------------------