TSTP Solution File: GRP620+3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP620+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:50:10 EDT 2024
% Result : Theorem 112.94s 15.15s
% Output : CNFRefutation 112.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 38
% Syntax : Number of formulae : 202 ( 57 unt; 0 def)
% Number of atoms : 1128 ( 98 equ)
% Maximal formula atoms : 231 ( 5 avg)
% Number of connectives : 1475 ( 549 ~; 621 |; 217 &)
% ( 20 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 273 ( 11 sgn 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(t7_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',redefinition_m2_fraenkel) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',dt_m1_fraenkel) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',cc1_fraenkel) ).
fof(t6_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( v1_funct_1(k2_funct_1(X2))
& v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(k2_funct_1(X2),X1,X1)
& m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc5_relat_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).
fof(t12_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( r1_tarski(k1_relat_1(X3),X1)
& r1_tarski(k2_relat_1(X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t12_relset_1) ).
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/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(t4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m2_fraenkel(k6_partfun1(u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_autgroup) ).
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(t71_relat_1,axiom,
! [X1] :
( k1_relat_1(k6_relat_1(X1)) = X1
& k2_relat_1(k6_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t71_relat_1) ).
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(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(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(t64_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( ( k1_relat_1(X1) = k1_xboole_0
| k2_relat_1(X1) = k1_xboole_0 )
=> X1 = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t64_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t6_relat_1,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t6_relat_1) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',dt_m2_fraenkel) ).
fof(l9_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_autgroup) ).
fof(d1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
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(t5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
fof(t24_partfun1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_funct_1(X1)
& m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t24_partfun1) ).
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(t3_funct_2,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_funct_1(X1)
& v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
& m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t3_funct_2) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(t70_group_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v4_group_6(X3,X1,X2)
<=> ( k9_group_6(X1,X2,X3) = u1_struct_0(X2)
& v2_funct_1(X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',t70_group_6) ).
fof(d8_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v2_funct_1(X1)
<=> ! [X2,X3] :
( ( r2_hidden(X2,k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X1))
& k1_funct_1(X1,X2) = k1_funct_1(X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',d8_funct_1) ).
fof(t55_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v2_funct_1(X1)
=> ( k2_relat_1(X1) = k1_relat_1(k2_funct_1(X1))
& k1_relat_1(X1) = k2_relat_1(k2_funct_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',t55_funct_1) ).
fof(redefinition_k9_group_6,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> 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(t62_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v2_funct_1(X1)
=> v2_funct_1(k2_funct_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',t62_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(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(t81_relat_1,axiom,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t81_relat_1) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_autgroup]) ).
fof(c_0_39,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_autgroup])]) ).
fof(c_0_40,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_41,plain,
! [X39] :
( v3_struct_0(X39)
| ~ v1_group_1(X39)
| ~ v3_group_1(X39)
| ~ v4_group_1(X39)
| ~ l1_group_1(X39)
| m1_fraenkel(k1_autgroup(X39),u1_struct_0(X39),u1_struct_0(X39)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_42,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
& ~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_43,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
fof(c_0_44,plain,
! [X951,X952,X953,X954] :
( ( ~ m2_fraenkel(X954,X951,X952,X953)
| m1_subset_1(X954,X953)
| v1_xboole_0(X952)
| ~ m1_fraenkel(X953,X951,X952) )
& ( ~ m1_subset_1(X954,X953)
| m2_fraenkel(X954,X951,X952,X953)
| v1_xboole_0(X952)
| ~ m1_fraenkel(X953,X951,X952) ) ),
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_40])])])])]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_51,plain,
! [X937,X938,X939] :
( ( ~ v1_xboole_0(X939)
| ~ m1_fraenkel(X939,X937,X938) )
& ( v1_fraenkel(X939)
| ~ m1_fraenkel(X939,X937,X938) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
fof(c_0_52,plain,
! [X507,X508] :
( ~ r2_hidden(X507,X508)
| ~ v1_xboole_0(X508) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_53,plain,
! [X436,X437,X438,X439,X440] :
( ( ~ r1_tarski(X436,X437)
| ~ r2_hidden(X438,X436)
| r2_hidden(X438,X437) )
& ( r2_hidden(esk35_2(X439,X440),X439)
| r1_tarski(X439,X440) )
& ( ~ r2_hidden(esk35_2(X439,X440),X440)
| r1_tarski(X439,X440) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_54,plain,
! [X3364,X3365] :
( ( v1_relat_1(X3365)
| ~ m1_subset_1(X3365,X3364)
| ~ v1_fraenkel(X3364) )
& ( v1_funct_1(X3365)
| ~ m1_subset_1(X3365,X3364)
| ~ v1_fraenkel(X3364) ) ),
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_55,plain,
( m1_subset_1(X1,X4)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,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_42]) ).
cnf(c_0_57,negated_conjecture,
m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_58,plain,
( v1_fraenkel(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( v1_funct_1(k2_funct_1(X2))
& v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(k2_funct_1(X2),X1,X1)
& m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t6_autgroup]) ).
cnf(c_0_60,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( r2_hidden(esk35_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v1_fraenkel(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( m1_subset_1(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_64,negated_conjecture,
v1_fraenkel(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
fof(c_0_65,plain,
! [X52,X53] :
( ( v1_funct_1(k2_funct_1(X53))
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v3_struct_0(X52)
| ~ v1_group_1(X52)
| ~ v3_group_1(X52)
| ~ v4_group_1(X52)
| ~ l1_group_1(X52) )
& ( v1_funct_2(k2_funct_1(X53),u1_struct_0(X52),u1_struct_0(X52))
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v3_struct_0(X52)
| ~ v1_group_1(X52)
| ~ v3_group_1(X52)
| ~ v4_group_1(X52)
| ~ l1_group_1(X52) )
& ( v1_group_6(k2_funct_1(X53),X52,X52)
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v3_struct_0(X52)
| ~ v1_group_1(X52)
| ~ v3_group_1(X52)
| ~ v4_group_1(X52)
| ~ l1_group_1(X52) )
& ( m2_relset_1(k2_funct_1(X53),u1_struct_0(X52),u1_struct_0(X52))
| ~ m2_fraenkel(X53,u1_struct_0(X52),u1_struct_0(X52),k1_autgroup(X52))
| v3_struct_0(X52)
| ~ v1_group_1(X52)
| ~ v3_group_1(X52)
| ~ v4_group_1(X52)
| ~ l1_group_1(X52) ) ),
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_59])])])])]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(c_0_67,plain,
! [X443,X444] :
( ( r1_tarski(X443,X444)
| X443 != X444 )
& ( r1_tarski(X444,X443)
| X443 != X444 )
& ( ~ r1_tarski(X443,X444)
| ~ r1_tarski(X444,X443)
| X443 = X444 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).
cnf(c_0_68,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( v1_relat_1(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
fof(c_0_70,plain,
! [X1143,X1144,X1145] :
( ( r1_tarski(k1_relat_1(X1145),X1143)
| ~ m2_relset_1(X1145,X1143,X1144) )
& ( r1_tarski(k2_relat_1(X1145),X1144)
| ~ m2_relset_1(X1145,X1143,X1144) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])])]) ).
cnf(c_0_71,plain,
( m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_72,plain,
! [X3354,X3355,X3356] :
( ( ~ m2_relset_1(X3356,X3354,X3355)
| m1_relset_1(X3356,X3354,X3355) )
& ( ~ m1_relset_1(X3356,X3354,X3355)
| m2_relset_1(X3356,X3354,X3355) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_73,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m2_fraenkel(k6_partfun1(u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[t4_autgroup]) ).
fof(c_0_74,plain,
! [X1120] :
( v1_xboole_0(X1120)
| ~ v1_relat_1(X1120)
| ~ v1_xboole_0(k1_relat_1(X1120)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_75,plain,
! [X1402] : v1_relat_1(k6_relat_1(X1402)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_76,plain,
! [X1376] :
( k1_relat_1(k6_relat_1(X1376)) = X1376
& k2_relat_1(k6_relat_1(X1376)) = X1376 ),
inference(variable_rename,[status(thm)],[t71_relat_1]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,negated_conjecture,
( v1_relat_1(esk2_0)
| r1_tarski(u1_struct_0(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( r1_tarski(k1_relat_1(X1),X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,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_71,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
fof(c_0_81,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])])]) ).
fof(c_0_82,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_83,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_84,plain,
! [X47] :
( v3_struct_0(X47)
| ~ v1_group_1(X47)
| ~ v3_group_1(X47)
| ~ v4_group_1(X47)
| ~ l1_group_1(X47)
| m2_fraenkel(k6_partfun1(u1_struct_0(X47)),u1_struct_0(X47),u1_struct_0(X47),k1_autgroup(X47)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
fof(c_0_85,plain,
! [X1087] : k6_partfun1(X1087) = k6_relat_1(X1087),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
cnf(c_0_86,plain,
( v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
v1_relat_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_88,plain,
k1_relat_1(k6_relat_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_89,plain,
! [X1131] :
( ( k1_relat_1(X1131) != k1_xboole_0
| X1131 = k1_xboole_0
| ~ v1_relat_1(X1131) )
& ( k2_relat_1(X1131) != k1_xboole_0
| X1131 = k1_xboole_0
| ~ v1_relat_1(X1131) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_relat_1])])])]) ).
cnf(c_0_90,negated_conjecture,
( X1 = u1_struct_0(esk1_0)
| v1_relat_1(esk2_0)
| ~ r1_tarski(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,negated_conjecture,
r1_tarski(k1_relat_1(k2_funct_1(esk2_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_92,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_93,plain,
! [X467,X468] :
( ~ v1_relat_1(X468)
| ~ r1_tarski(X467,X468)
| v1_relat_1(X467) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])])]) ).
cnf(c_0_94,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_95,negated_conjecture,
m1_relset_1(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_83,c_0_80]) ).
fof(c_0_96,plain,
! [X2357,X2358] : v1_relat_1(k2_zfmisc_1(X2357,X2358)),
inference(variable_rename,[status(thm)],[t6_relat_1]) ).
cnf(c_0_97,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_partfun1(u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_99,plain,
( v1_xboole_0(k6_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
fof(c_0_100,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_0_101,plain,
( X1 = k1_xboole_0
| k1_relat_1(X1) != k1_xboole_0
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( k1_relat_1(k2_funct_1(esk2_0)) = u1_struct_0(esk1_0)
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_69]) ).
cnf(c_0_104,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_105,negated_conjecture,
r1_tarski(k2_funct_1(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_106,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_relat_1(u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( v1_relat_1(esk2_0)
| v1_xboole_0(k6_relat_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_69]) ).
fof(c_0_109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[l9_autgroup]) ).
fof(c_0_110,plain,
! [X943,X944,X945,X946] :
( ( v1_funct_1(X946)
| ~ m2_fraenkel(X946,X943,X944,X945)
| v1_xboole_0(X944)
| ~ m1_fraenkel(X945,X943,X944) )
& ( v1_funct_2(X946,X943,X944)
| ~ m2_fraenkel(X946,X943,X944,X945)
| v1_xboole_0(X944)
| ~ m1_fraenkel(X945,X943,X944) )
& ( m2_relset_1(X946,X943,X944)
| ~ m2_fraenkel(X946,X943,X944,X945)
| v1_xboole_0(X944)
| ~ m1_fraenkel(X945,X943,X944) ) ),
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_100])])])])]) ).
cnf(c_0_111,negated_conjecture,
( k2_funct_1(esk2_0) = k1_xboole_0
| v1_relat_1(esk2_0)
| ~ v1_relat_1(k2_funct_1(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_112,negated_conjecture,
v1_relat_1(k2_funct_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
cnf(c_0_113,negated_conjecture,
m2_fraenkel(k6_relat_1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_114,negated_conjecture,
( k6_relat_1(u1_struct_0(esk1_0)) = k1_xboole_0
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_108]) ).
fof(c_0_115,plain,
! [X50,X51] :
( ( k1_relat_1(X51) = k2_relat_1(X51)
| ~ m2_fraenkel(X51,u1_struct_0(X50),u1_struct_0(X50),k1_autgroup(X50))
| v3_struct_0(X50)
| ~ v1_group_1(X50)
| ~ v3_group_1(X50)
| ~ v4_group_1(X50)
| ~ l1_group_1(X50) )
& ( k1_relat_1(X51) = u1_struct_0(X50)
| ~ m2_fraenkel(X51,u1_struct_0(X50),u1_struct_0(X50),k1_autgroup(X50))
| v3_struct_0(X50)
| ~ v1_group_1(X50)
| ~ v3_group_1(X50)
| ~ v4_group_1(X50)
| ~ l1_group_1(X50) ) ),
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_109])])])])]) ).
cnf(c_0_116,plain,
( v1_funct_1(X1)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_117,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_42]) ).
cnf(c_0_118,negated_conjecture,
( k2_funct_1(esk2_0) = k1_xboole_0
| v1_relat_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_119,negated_conjecture,
( m2_fraenkel(k1_xboole_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| v1_relat_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_121,negated_conjecture,
( v1_funct_1(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_116,c_0_56]) ).
fof(c_0_122,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( X2 = k1_autgroup(X1)
<=> ( ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X3,X1,X1)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X3,X2)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X1,X1) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_autgroup]) ).
cnf(c_0_123,negated_conjecture,
v1_relat_1(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_124,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_120,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_125,negated_conjecture,
( v1_funct_1(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_57])]) ).
fof(c_0_126,plain,
! [X526] :
( ~ v1_xboole_0(X526)
| v1_funct_1(X526) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])])]) ).
fof(c_0_127,plain,
! [X40,X41,X42,X43] :
( ( v1_funct_1(X42)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_funct_2(X42,u1_struct_0(X40),u1_struct_0(X40))
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_group_6(X42,X40,X40)
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( m2_relset_1(X42,u1_struct_0(X40),u1_struct_0(X40))
| ~ m2_fraenkel(X42,u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v2_funct_1(X43)
| ~ r2_hidden(X43,X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v3_group_6(X43,X40,X40)
| ~ r2_hidden(X43,X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( ~ v2_funct_1(X43)
| ~ v3_group_6(X43,X40,X40)
| r2_hidden(X43,X41)
| ~ v1_funct_1(X43)
| ~ v1_funct_2(X43,u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(X43,X40,X40)
| ~ m2_relset_1(X43,u1_struct_0(X40),u1_struct_0(X40))
| X41 != k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_funct_1(esk7_2(X40,X41))
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_funct_2(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_group_6(esk7_2(X40,X41),X40,X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( m2_relset_1(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( ~ r2_hidden(esk7_2(X40,X41),X41)
| ~ v2_funct_1(esk7_2(X40,X41))
| ~ v3_group_6(esk7_2(X40,X41),X40,X40)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v2_funct_1(esk7_2(X40,X41))
| r2_hidden(esk7_2(X40,X41),X41)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v3_group_6(esk7_2(X40,X41),X40,X40)
| r2_hidden(esk7_2(X40,X41),X41)
| m2_fraenkel(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40),X41)
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_funct_1(esk7_2(X40,X41))
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_funct_2(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_group_6(esk7_2(X40,X41),X40,X40)
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( m2_relset_1(esk7_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( ~ r2_hidden(esk7_2(X40,X41),X41)
| ~ v2_funct_1(esk7_2(X40,X41))
| ~ v3_group_6(esk7_2(X40,X41),X40,X40)
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v2_funct_1(esk7_2(X40,X41))
| r2_hidden(esk7_2(X40,X41),X41)
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v3_group_6(esk7_2(X40,X41),X40,X40)
| r2_hidden(esk7_2(X40,X41),X41)
| ~ v1_funct_1(esk6_2(X40,X41))
| ~ v1_funct_2(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| ~ v1_group_6(esk6_2(X40,X41),X40,X40)
| ~ m2_relset_1(esk6_2(X40,X41),u1_struct_0(X40),u1_struct_0(X40))
| X41 = k1_autgroup(X40)
| ~ m1_fraenkel(X41,u1_struct_0(X40),u1_struct_0(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) ) ),
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_122])])])])])]) ).
fof(c_0_128,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_group_6(X2,X1,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( r2_hidden(X2,k1_autgroup(X1))
<=> v4_group_6(X2,X1,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t5_autgroup]) ).
fof(c_0_129,plain,
! [X1150] :
( ( v1_funct_1(X1150)
| ~ v1_relat_1(X1150)
| ~ v1_funct_1(X1150) )
& ( m2_relset_1(X1150,k1_relat_1(X1150),k2_relat_1(X1150))
| ~ v1_relat_1(X1150)
| ~ v1_funct_1(X1150) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_partfun1])])])]) ).
cnf(c_0_130,negated_conjecture,
( v1_xboole_0(esk2_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_123]),c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| v1_funct_1(esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_125]) ).
cnf(c_0_132,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_133,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_134,plain,
( k1_relat_1(X1) = k2_relat_1(X1)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_135,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3)
| X3 != k1_autgroup(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_136,plain,
! [X1153] :
( ( v1_funct_1(X1153)
| ~ v1_relat_1(X1153)
| ~ v1_funct_1(X1153) )
& ( v1_funct_2(X1153,k1_relat_1(X1153),k2_relat_1(X1153))
| ~ v1_relat_1(X1153)
| ~ v1_funct_1(X1153) )
& ( m2_relset_1(X1153,k1_relat_1(X1153),k2_relat_1(X1153))
| ~ v1_relat_1(X1153)
| ~ v1_funct_1(X1153) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_funct_2])])])]) ).
fof(c_0_137,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_138,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v4_group_6(X3,X1,X2)
<=> ( k9_group_6(X1,X2,X3) = u1_struct_0(X2)
& v2_funct_1(X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t70_group_6]) ).
fof(c_0_139,plain,
! [X48,X49] :
( ( ~ r2_hidden(X49,k1_autgroup(X48))
| v4_group_6(X49,X48,X48)
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_group_6(X49,X48,X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| v3_struct_0(X48)
| ~ v1_group_1(X48)
| ~ v3_group_1(X48)
| ~ v4_group_1(X48)
| ~ l1_group_1(X48) )
& ( ~ v4_group_6(X49,X48,X48)
| r2_hidden(X49,k1_autgroup(X48))
| ~ v1_funct_1(X49)
| ~ v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(X48))
| ~ v1_group_6(X49,X48,X48)
| ~ m2_relset_1(X49,u1_struct_0(X48),u1_struct_0(X48))
| v3_struct_0(X48)
| ~ v1_group_1(X48)
| ~ v3_group_1(X48)
| ~ v4_group_1(X48)
| ~ l1_group_1(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_128])])])])]) ).
cnf(c_0_140,plain,
( m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_141,negated_conjecture,
v1_funct_1(esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]),c_0_133]) ).
cnf(c_0_142,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_134,c_0_56]),c_0_124]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_143,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_135]),c_0_45]) ).
cnf(c_0_144,plain,
( v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
fof(c_0_145,plain,
! [X516,X517] :
( ( ~ m1_subset_1(X517,X516)
| r2_hidden(X517,X516)
| v1_xboole_0(X516) )
& ( ~ r2_hidden(X517,X516)
| m1_subset_1(X517,X516)
| 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) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])]) ).
cnf(c_0_146,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_147,plain,
! [X979,X980,X981] :
( ( ~ v2_funct_1(X979)
| ~ r2_hidden(X980,k1_relat_1(X979))
| ~ r2_hidden(X981,k1_relat_1(X979))
| k1_funct_1(X979,X980) != k1_funct_1(X979,X981)
| X980 = X981
| ~ v1_relat_1(X979)
| ~ v1_funct_1(X979) )
& ( r2_hidden(esk94_1(X979),k1_relat_1(X979))
| v2_funct_1(X979)
| ~ v1_relat_1(X979)
| ~ v1_funct_1(X979) )
& ( r2_hidden(esk95_1(X979),k1_relat_1(X979))
| v2_funct_1(X979)
| ~ v1_relat_1(X979)
| ~ v1_funct_1(X979) )
& ( k1_funct_1(X979,esk94_1(X979)) = k1_funct_1(X979,esk95_1(X979))
| v2_funct_1(X979)
| ~ v1_relat_1(X979)
| ~ v1_funct_1(X979) )
& ( esk94_1(X979) != esk95_1(X979)
| v2_funct_1(X979)
| ~ v1_relat_1(X979)
| ~ v1_funct_1(X979) ) ),
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)],[d8_funct_1])])])])])]) ).
fof(c_0_148,plain,
! [X1102,X1103,X1104] :
( ( k9_group_6(X1102,X1103,X1104) = u1_struct_0(X1103)
| ~ v4_group_6(X1104,X1102,X1103)
| ~ v1_funct_1(X1104)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| v3_struct_0(X1103)
| ~ v3_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ l1_group_1(X1103)
| v3_struct_0(X1102)
| ~ v3_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ l1_group_1(X1102) )
& ( v2_funct_1(X1104)
| ~ v4_group_6(X1104,X1102,X1103)
| ~ v1_funct_1(X1104)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| v3_struct_0(X1103)
| ~ v3_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ l1_group_1(X1103)
| v3_struct_0(X1102)
| ~ v3_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ l1_group_1(X1102) )
& ( k9_group_6(X1102,X1103,X1104) != u1_struct_0(X1103)
| ~ v2_funct_1(X1104)
| v4_group_6(X1104,X1102,X1103)
| ~ v1_funct_1(X1104)
| ~ v1_funct_2(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| ~ v1_group_6(X1104,X1102,X1103)
| ~ m2_relset_1(X1104,u1_struct_0(X1102),u1_struct_0(X1103))
| v3_struct_0(X1103)
| ~ v3_group_1(X1103)
| ~ v4_group_1(X1103)
| ~ l1_group_1(X1103)
| v3_struct_0(X1102)
| ~ v3_group_1(X1102)
| ~ v4_group_1(X1102)
| ~ l1_group_1(X1102) ) ),
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_138])])])])]) ).
cnf(c_0_149,plain,
( v4_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_autgroup(X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_150,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_124]),c_0_142]),c_0_123])]) ).
cnf(c_0_151,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_143,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_152,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_141]),c_0_124]),c_0_142]),c_0_123])]) ).
cnf(c_0_153,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_154,negated_conjecture,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_146,c_0_57]) ).
cnf(c_0_155,plain,
( r2_hidden(esk94_1(X1),k1_relat_1(X1))
| v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
fof(c_0_156,plain,
! [X65] :
( ( k2_relat_1(X65) = k1_relat_1(k2_funct_1(X65))
| ~ v2_funct_1(X65)
| ~ v1_relat_1(X65)
| ~ v1_funct_1(X65) )
& ( k1_relat_1(X65) = k2_relat_1(k2_funct_1(X65))
| ~ v2_funct_1(X65)
| ~ v1_relat_1(X65)
| ~ v1_funct_1(X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_funct_1])])])]) ).
cnf(c_0_157,plain,
( v2_funct_1(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v4_group_6(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_group_6(X1,X2,X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_158,negated_conjecture,
( v4_group_6(esk2_0,esk1_0,esk1_0)
| ~ r2_hidden(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_47]),c_0_48]),c_0_49]),c_0_46]),c_0_152]),c_0_141])]),c_0_50]) ).
cnf(c_0_159,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk2_0,k1_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_63]),c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( v2_funct_1(esk2_0)
| r2_hidden(esk94_1(esk2_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_141]),c_0_124]),c_0_123])]) ).
fof(c_0_161,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k9_group_6(X1,X2,X3) = k2_relat_1(X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_group_6]) ).
cnf(c_0_162,plain,
( k1_relat_1(X1) = k2_relat_1(k2_funct_1(X1))
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_163,negated_conjecture,
( v2_funct_1(esk2_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(spm,[status(thm)],[c_0_157,c_0_150]),c_0_151]),c_0_47]),c_0_48]),c_0_46]),c_0_152]),c_0_141])]),c_0_50]) ).
cnf(c_0_164,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_158,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( v2_funct_1(esk2_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_160]) ).
fof(c_0_166,plain,
! [X77] :
( ~ v1_relat_1(X77)
| ~ v1_funct_1(X77)
| ~ v2_funct_1(X77)
| v2_funct_1(k2_funct_1(X77)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t62_funct_1])])]) ).
fof(c_0_167,plain,
! [X3436,X3437,X3438] :
( v3_struct_0(X3436)
| ~ v3_group_1(X3436)
| ~ v4_group_1(X3436)
| ~ l1_group_1(X3436)
| v3_struct_0(X3437)
| ~ v3_group_1(X3437)
| ~ v4_group_1(X3437)
| ~ l1_group_1(X3437)
| ~ v1_funct_1(X3438)
| ~ v1_funct_2(X3438,u1_struct_0(X3436),u1_struct_0(X3437))
| ~ v1_group_6(X3438,X3436,X3437)
| ~ m1_relset_1(X3438,u1_struct_0(X3436),u1_struct_0(X3437))
| k9_group_6(X3436,X3437,X3438) = k2_relat_1(X3438) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_161])])]) ).
cnf(c_0_168,negated_conjecture,
( k2_relat_1(k2_funct_1(esk2_0)) = u1_struct_0(esk1_0)
| ~ v2_funct_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_141]),c_0_124]),c_0_123])]) ).
cnf(c_0_169,negated_conjecture,
v2_funct_1(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_170,plain,
( v1_group_6(k2_funct_1(X1),X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_171,plain,
( v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_172,plain,
( v1_funct_1(k2_funct_1(X1))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_173,plain,
( v2_funct_1(k2_funct_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v2_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_174,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k9_group_6(X1,X2,X3) = k2_relat_1(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_175,negated_conjecture,
k2_relat_1(k2_funct_1(esk2_0)) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]) ).
cnf(c_0_176,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_170,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_177,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_171,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_178,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_172,c_0_56]),c_0_47]),c_0_48]),c_0_49]),c_0_46])]),c_0_50]) ).
cnf(c_0_179,negated_conjecture,
( v2_funct_1(k2_funct_1(esk2_0))
| ~ v2_funct_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_141]),c_0_123])]) ).
cnf(c_0_180,plain,
( r2_hidden(X1,k1_autgroup(X2))
| v3_struct_0(X2)
| ~ v4_group_6(X1,X2,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_181,plain,
( v4_group_6(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| k9_group_6(X1,X2,X3) != u1_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_182,negated_conjecture,
k9_group_6(esk1_0,esk1_0,k2_funct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_95]),c_0_175]),c_0_176]),c_0_47]),c_0_48]),c_0_46]),c_0_177]),c_0_178])]),c_0_50]) ).
cnf(c_0_183,negated_conjecture,
v2_funct_1(k2_funct_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_169])]) ).
fof(c_0_184,plain,
! [X809,X810] :
( ~ r2_hidden(X809,X810)
| m1_subset_1(X809,X810) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_185,negated_conjecture,
( r2_hidden(k2_funct_1(esk2_0),k1_autgroup(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(spm,[status(thm)],[c_0_180,c_0_80]),c_0_176]),c_0_47]),c_0_48]),c_0_49]),c_0_46]),c_0_177]),c_0_178])]),c_0_50]) ).
cnf(c_0_186,negated_conjecture,
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(spm,[status(thm)],[c_0_181,c_0_182]),c_0_176]),c_0_47]),c_0_48]),c_0_46]),c_0_177]),c_0_80]),c_0_183]),c_0_178])]),c_0_50]) ).
cnf(c_0_187,plain,
( m2_fraenkel(X1,X3,X4,X2)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,X2)
| ~ m1_fraenkel(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_188,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_189,negated_conjecture,
r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186])]) ).
cnf(c_0_190,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_57]) ).
cnf(c_0_191,negated_conjecture,
m1_subset_1(k2_funct_1(esk2_0),k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_192,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_117]) ).
fof(c_0_193,plain,
! [X85] : k2_funct_1(k6_relat_1(X85)) = k6_relat_1(X85),
inference(variable_rename,[status(thm)],[t67_funct_1]) ).
cnf(c_0_194,negated_conjecture,
v1_xboole_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_192])]) ).
cnf(c_0_195,plain,
k2_funct_1(k6_relat_1(X1)) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_196,plain,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t81_relat_1]) ).
cnf(c_0_197,negated_conjecture,
esk2_0 = k1_xboole_0,
inference(spm,[status(thm)],[c_0_92,c_0_194]) ).
cnf(c_0_198,negated_conjecture,
u1_struct_0(esk1_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_92,c_0_192]) ).
cnf(c_0_199,plain,
k2_funct_1(k1_xboole_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_200,negated_conjecture,
m2_fraenkel(k1_xboole_0,k1_xboole_0,k1_xboole_0,k1_autgroup(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_197]),c_0_198]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_197]),c_0_199]),c_0_198]),c_0_198]),c_0_200])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP620+3 : TPTP v8.2.0. Released v3.4.0.
% 0.10/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 06:01:24 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 112.94/15.15 # Version: 3.1.0
% 112.94/15.15 # Preprocessing class: FMLLSMLLSSSNFFN.
% 112.94/15.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 112.94/15.15 # Starting new_bool_3 with 900s (3) cores
% 112.94/15.15 # Starting new_bool_1 with 900s (3) cores
% 112.94/15.15 # Starting sh5l with 300s (1) cores
% 112.94/15.15 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 112.94/15.15 # new_bool_3 with pid 27848 completed with status 0
% 112.94/15.15 # Result found by new_bool_3
% 112.94/15.15 # Preprocessing class: FMLLSMLLSSSNFFN.
% 112.94/15.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 112.94/15.15 # Starting new_bool_3 with 900s (3) cores
% 112.94/15.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 112.94/15.15 # Search class: FGHSM-SMLM32-MFFFFFNN
% 112.94/15.15 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 112.94/15.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 112.94/15.15 # Starting new_bool_3 with 91s (1) cores
% 112.94/15.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 112.94/15.15 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 27894 completed with status 0
% 112.94/15.15 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 112.94/15.15 # Preprocessing class: FMLLSMLLSSSNFFN.
% 112.94/15.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 112.94/15.15 # Starting new_bool_3 with 900s (3) cores
% 112.94/15.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 112.94/15.15 # Search class: FGHSM-SMLM32-MFFFFFNN
% 112.94/15.15 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 112.94/15.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 112.94/15.15 # Starting new_bool_3 with 91s (1) cores
% 112.94/15.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 112.94/15.15 # Preprocessing time : 0.101 s
% 112.94/15.15 # Presaturation interreduction done
% 112.94/15.15
% 112.94/15.15 # Proof found!
% 112.94/15.15 # SZS status Theorem
% 112.94/15.15 # SZS output start CNFRefutation
% See solution above
% 112.94/15.15 # Parsed axioms : 12883
% 112.94/15.15 # Removed by relevancy pruning/SinE : 11112
% 112.94/15.15 # Initial clauses : 3502
% 112.94/15.15 # Removed in clause preprocessing : 114
% 112.94/15.15 # Initial clauses in saturation : 3388
% 112.94/15.15 # Processed clauses : 29407
% 112.94/15.15 # ...of these trivial : 1296
% 112.94/15.15 # ...subsumed : 12772
% 112.94/15.15 # ...remaining for further processing : 15338
% 112.94/15.15 # Other redundant clauses eliminated : 1320
% 112.94/15.15 # Clauses deleted for lack of memory : 0
% 112.94/15.15 # Backward-subsumed : 150
% 112.94/15.15 # Backward-rewritten : 2172
% 112.94/15.15 # Generated clauses : 374924
% 112.94/15.15 # ...of the previous two non-redundant : 357931
% 112.94/15.15 # ...aggressively subsumed : 0
% 112.94/15.15 # Contextual simplify-reflections : 272
% 112.94/15.15 # Paramodulations : 373525
% 112.94/15.15 # Factorizations : 18
% 112.94/15.15 # NegExts : 0
% 112.94/15.15 # Equation resolutions : 1404
% 112.94/15.15 # Disequality decompositions : 0
% 112.94/15.15 # Total rewrite steps : 257757
% 112.94/15.15 # ...of those cached : 249494
% 112.94/15.15 # Propositional unsat checks : 0
% 112.94/15.15 # Propositional check models : 0
% 112.94/15.15 # Propositional check unsatisfiable : 0
% 112.94/15.15 # Propositional clauses : 0
% 112.94/15.15 # Propositional clauses after purity: 0
% 112.94/15.15 # Propositional unsat core size : 0
% 112.94/15.15 # Propositional preprocessing time : 0.000
% 112.94/15.15 # Propositional encoding time : 0.000
% 112.94/15.15 # Propositional solver time : 0.000
% 112.94/15.15 # Success case prop preproc time : 0.000
% 112.94/15.15 # Success case prop encoding time : 0.000
% 112.94/15.15 # Success case prop solver time : 0.000
% 112.94/15.15 # Current number of processed clauses : 9512
% 112.94/15.15 # Positive orientable unit clauses : 4050
% 112.94/15.15 # Positive unorientable unit clauses: 5
% 112.94/15.15 # Negative unit clauses : 1839
% 112.94/15.15 # Non-unit-clauses : 3618
% 112.94/15.15 # Current number of unprocessed clauses: 333291
% 112.94/15.15 # ...number of literals in the above : 712255
% 112.94/15.15 # Current number of archived formulas : 0
% 112.94/15.15 # Current number of archived clauses : 5448
% 112.94/15.15 # Clause-clause subsumption calls (NU) : 11109640
% 112.94/15.15 # Rec. Clause-clause subsumption calls : 1895882
% 112.94/15.15 # Non-unit clause-clause subsumptions : 2839
% 112.94/15.15 # Unit Clause-clause subsumption calls : 3698715
% 112.94/15.15 # Rewrite failures with RHS unbound : 28
% 112.94/15.15 # BW rewrite match attempts : 75669
% 112.94/15.15 # BW rewrite match successes : 467
% 112.94/15.15 # Condensation attempts : 0
% 112.94/15.15 # Condensation successes : 0
% 112.94/15.15 # Termbank termtop insertions : 8532140
% 112.94/15.15 # Search garbage collected termcells : 163524
% 112.94/15.15
% 112.94/15.15 # -------------------------------------------------
% 112.94/15.15 # User time : 13.845 s
% 112.94/15.15 # System time : 0.365 s
% 112.94/15.15 # Total time : 14.210 s
% 112.94/15.15 # Maximum resident set size: 31212 pages
% 112.94/15.15
% 112.94/15.15 # -------------------------------------------------
% 112.94/15.15 # User time : 41.217 s
% 112.94/15.15 # System time : 0.707 s
% 112.94/15.15 # Total time : 41.924 s
% 112.94/15.15 # Maximum resident set size: 18944 pages
% 112.94/15.15 % E---3.1 exiting
% 112.94/15.15 % E exiting
%------------------------------------------------------------------------------