TSTP Solution File: GRP638+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP638+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 10:48:20 EST 2010
% Result : Theorem 0.39s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% Syntax : Number of formulae : 138 ( 29 unt; 0 def)
% Number of atoms : 719 ( 38 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 895 ( 314 ~; 384 |; 145 &)
% ( 5 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 193 ( 4 sgn 126 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',t66_group_2) ).
fof(4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',d5_group_2) ).
fof(5,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',cc1_relset_1) ).
fof(8,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',redefinition_m2_relset_1) ).
fof(17,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',redefinition_m1_group_6) ).
fof(18,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& m1_relset_1(X3,X1,X2) )
=> k3_funct_2(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',redefinition_k3_funct_2) ).
fof(28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',dt_m1_group_2) ).
fof(32,conjecture,
! [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)) )
=> ! [X4] :
( m1_group_2(X4,X2)
=> ! [X5] :
( m1_group_2(X5,X2)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ! [X7] :
( m1_group_2(X7,X1)
=> ( ( u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5) )
=> m1_group_6(X6,X1,X7) ) ) ) ) ) ) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',t11_latsubgr) ).
fof(33,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k10_relat_1(X3,X1),k10_relat_1(X3,X2)) ) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',t178_relat_1) ).
fof(36,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/tmp/tmp_IHtEh/sel_GRP638+1.p_1',dt_m2_relset_1) ).
fof(56,negated_conjecture,
~ ! [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)) )
=> ! [X4] :
( m1_group_2(X4,X2)
=> ! [X5] :
( m1_group_2(X5,X2)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ! [X7] :
( m1_group_2(X7,X1)
=> ( ( u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5) )
=> m1_group_6(X6,X1,X7) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[32]) ).
fof(57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(64,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(67,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(68,negated_conjecture,
~ ! [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)) )
=> ! [X4] :
( m1_group_2(X4,X2)
=> ! [X5] :
( m1_group_2(X5,X2)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ! [X7] :
( m1_group_2(X7,X1)
=> ( ( u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5) )
=> m1_group_6(X6,X1,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(76,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| m1_group_2(X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(77,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ m1_group_2(X5,X4)
| ! [X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| m1_group_2(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X4,X5,X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| m1_group_2(X5,X6)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[77]) ).
cnf(79,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(83,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| ( ( ~ m1_group_2(X2,X1)
| ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) )
& ( ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| u1_group_1(X2) != k1_realset1(u1_group_1(X1),u1_struct_0(X2))
| m1_group_2(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(84,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ( ( ~ m1_group_2(X4,X3)
| ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
& u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4)) ) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X3,X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ( ( ~ m1_group_2(X4,X3)
| ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
& u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4)) ) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3) ) )
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[84]) ).
fof(86,plain,
! [X3,X4] :
( ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| ~ m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| ~ m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[85]) ).
cnf(89,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(90,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X3) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(91,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(101,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(102,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[101]) ).
cnf(104,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(136,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ! [X3] :
( ( ~ m1_group_6(X3,X1,X2)
| m1_group_2(X3,X2) )
& ( ~ m1_group_2(X3,X2)
| m1_group_6(X3,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(137,plain,
! [X4,X5] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ! [X6] :
( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5) )
& ( ~ m1_group_2(X6,X5)
| m1_group_6(X6,X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[136]) ).
fof(138,plain,
! [X4,X5,X6] :
( ( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5) )
& ( ~ m1_group_2(X6,X5)
| m1_group_6(X6,X4,X5) ) )
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4) ),
inference(shift_quantors,[status(thm)],[137]) ).
fof(139,plain,
! [X4,X5,X6] :
( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4) )
& ( ~ m1_group_2(X6,X5)
| m1_group_6(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4) ) ),
inference(distribute,[status(thm)],[138]) ).
cnf(140,plain,
( v3_struct_0(X2)
| m1_group_6(X3,X2,X1)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(141,plain,
( v3_struct_0(X2)
| m1_group_2(X3,X1)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_6(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[139]) ).
fof(142,plain,
! [X1,X2,X3,X4] :
( ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| k3_funct_2(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(143,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X7)
| ~ m1_relset_1(X7,X5,X6)
| k3_funct_2(X5,X6,X7,X8) = k10_relat_1(X7,X8) ),
inference(variable_rename,[status(thm)],[142]) ).
cnf(144,plain,
( k3_funct_2(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(171,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(172,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) ) ) ),
inference(variable_rename,[status(thm)],[171]) ).
fof(173,plain,
! [X3,X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) )
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[172]) ).
fof(174,plain,
! [X3,X4] :
( ( ~ v3_struct_0(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( v3_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( l1_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[173]) ).
cnf(175,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(176,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(177,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(187,negated_conjecture,
? [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))
& ? [X4] :
( m1_group_2(X4,X2)
& ? [X5] :
( m1_group_2(X5,X2)
& ? [X6] :
( m1_group_2(X6,X1)
& ? [X7] :
( m1_group_2(X7,X1)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5)
& ~ m1_group_6(X6,X1,X7) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(188,negated_conjecture,
? [X8] :
( ~ v3_struct_0(X8)
& v3_group_1(X8)
& v4_group_1(X8)
& l1_group_1(X8)
& ? [X9] :
( ~ v3_struct_0(X9)
& v3_group_1(X9)
& v4_group_1(X9)
& l1_group_1(X9)
& ? [X10] :
( v1_funct_1(X10)
& v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
& v1_group_6(X10,X8,X9)
& m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
& ? [X11] :
( m1_group_2(X11,X9)
& ? [X12] :
( m1_group_2(X12,X9)
& ? [X13] :
( m1_group_2(X13,X8)
& ? [X14] :
( m1_group_2(X14,X8)
& u1_struct_0(X13) = k3_funct_2(u1_struct_0(X8),u1_struct_0(X9),X10,u1_struct_0(X11))
& u1_struct_0(X14) = k3_funct_2(u1_struct_0(X8),u1_struct_0(X9),X10,u1_struct_0(X12))
& m1_group_6(X11,X9,X12)
& ~ m1_group_6(X13,X8,X14) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[187]) ).
fof(189,negated_conjecture,
( ~ v3_struct_0(esk9_0)
& v3_group_1(esk9_0)
& v4_group_1(esk9_0)
& l1_group_1(esk9_0)
& ~ v3_struct_0(esk10_0)
& v3_group_1(esk10_0)
& v4_group_1(esk10_0)
& l1_group_1(esk10_0)
& v1_funct_1(esk11_0)
& v1_funct_2(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0))
& v1_group_6(esk11_0,esk9_0,esk10_0)
& m2_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0))
& m1_group_2(esk12_0,esk10_0)
& m1_group_2(esk13_0,esk10_0)
& m1_group_2(esk14_0,esk9_0)
& m1_group_2(esk15_0,esk9_0)
& u1_struct_0(esk14_0) = k3_funct_2(u1_struct_0(esk9_0),u1_struct_0(esk10_0),esk11_0,u1_struct_0(esk12_0))
& u1_struct_0(esk15_0) = k3_funct_2(u1_struct_0(esk9_0),u1_struct_0(esk10_0),esk11_0,u1_struct_0(esk13_0))
& m1_group_6(esk12_0,esk10_0,esk13_0)
& ~ m1_group_6(esk14_0,esk9_0,esk15_0) ),
inference(skolemize,[status(esa)],[188]) ).
cnf(190,negated_conjecture,
~ m1_group_6(esk14_0,esk9_0,esk15_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(191,negated_conjecture,
m1_group_6(esk12_0,esk10_0,esk13_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(192,negated_conjecture,
u1_struct_0(esk15_0) = k3_funct_2(u1_struct_0(esk9_0),u1_struct_0(esk10_0),esk11_0,u1_struct_0(esk13_0)),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(193,negated_conjecture,
u1_struct_0(esk14_0) = k3_funct_2(u1_struct_0(esk9_0),u1_struct_0(esk10_0),esk11_0,u1_struct_0(esk12_0)),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(194,negated_conjecture,
m1_group_2(esk15_0,esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(195,negated_conjecture,
m1_group_2(esk14_0,esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(196,negated_conjecture,
m1_group_2(esk13_0,esk10_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(198,negated_conjecture,
m2_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(201,negated_conjecture,
v1_funct_1(esk11_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(202,negated_conjecture,
l1_group_1(esk10_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(203,negated_conjecture,
v4_group_1(esk10_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(204,negated_conjecture,
v3_group_1(esk10_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(205,negated_conjecture,
~ v3_struct_0(esk10_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(206,negated_conjecture,
l1_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(207,negated_conjecture,
v4_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(208,negated_conjecture,
v3_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(209,negated_conjecture,
~ v3_struct_0(esk9_0),
inference(split_conjunct,[status(thm)],[189]) ).
fof(210,plain,
! [X1,X2,X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X1,X2)
| r1_tarski(k10_relat_1(X3,X1),k10_relat_1(X3,X2)) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(211,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ r1_tarski(X4,X5)
| r1_tarski(k10_relat_1(X6,X4),k10_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[210]) ).
cnf(212,plain,
( r1_tarski(k10_relat_1(X1,X2),k10_relat_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[211]) ).
fof(217,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(218,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[217]) ).
cnf(219,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(288,negated_conjecture,
( v3_group_1(esk13_0)
| v3_struct_0(esk10_0)
| ~ l1_group_1(esk10_0)
| ~ v3_group_1(esk10_0) ),
inference(spm,[status(thm)],[176,196,theory(equality)]) ).
cnf(295,negated_conjecture,
( v3_group_1(esk13_0)
| v3_struct_0(esk10_0)
| $false
| ~ v3_group_1(esk10_0) ),
inference(rw,[status(thm)],[288,202,theory(equality)]) ).
cnf(296,negated_conjecture,
( v3_group_1(esk13_0)
| v3_struct_0(esk10_0)
| $false
| $false ),
inference(rw,[status(thm)],[295,204,theory(equality)]) ).
cnf(297,negated_conjecture,
( v3_group_1(esk13_0)
| v3_struct_0(esk10_0) ),
inference(cn,[status(thm)],[296,theory(equality)]) ).
cnf(298,negated_conjecture,
v3_group_1(esk13_0),
inference(sr,[status(thm)],[297,205,theory(equality)]) ).
cnf(308,negated_conjecture,
( l1_group_1(esk13_0)
| v3_struct_0(esk10_0)
| ~ l1_group_1(esk10_0)
| ~ v3_group_1(esk10_0) ),
inference(spm,[status(thm)],[175,196,theory(equality)]) ).
cnf(315,negated_conjecture,
( l1_group_1(esk13_0)
| v3_struct_0(esk10_0)
| $false
| ~ v3_group_1(esk10_0) ),
inference(rw,[status(thm)],[308,202,theory(equality)]) ).
cnf(316,negated_conjecture,
( l1_group_1(esk13_0)
| v3_struct_0(esk10_0)
| $false
| $false ),
inference(rw,[status(thm)],[315,204,theory(equality)]) ).
cnf(317,negated_conjecture,
( l1_group_1(esk13_0)
| v3_struct_0(esk10_0) ),
inference(cn,[status(thm)],[316,theory(equality)]) ).
cnf(318,negated_conjecture,
l1_group_1(esk13_0),
inference(sr,[status(thm)],[317,205,theory(equality)]) ).
cnf(328,negated_conjecture,
( v3_struct_0(esk10_0)
| ~ l1_group_1(esk10_0)
| ~ v3_group_1(esk10_0)
| ~ v3_struct_0(esk13_0) ),
inference(spm,[status(thm)],[177,196,theory(equality)]) ).
cnf(335,negated_conjecture,
( v3_struct_0(esk10_0)
| $false
| ~ v3_group_1(esk10_0)
| ~ v3_struct_0(esk13_0) ),
inference(rw,[status(thm)],[328,202,theory(equality)]) ).
cnf(336,negated_conjecture,
( v3_struct_0(esk10_0)
| $false
| $false
| ~ v3_struct_0(esk13_0) ),
inference(rw,[status(thm)],[335,204,theory(equality)]) ).
cnf(337,negated_conjecture,
( v3_struct_0(esk10_0)
| ~ v3_struct_0(esk13_0) ),
inference(cn,[status(thm)],[336,theory(equality)]) ).
cnf(338,negated_conjecture,
~ v3_struct_0(esk13_0),
inference(sr,[status(thm)],[337,205,theory(equality)]) ).
cnf(354,negated_conjecture,
m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)),
inference(spm,[status(thm)],[104,198,theory(equality)]) ).
cnf(370,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[92,219,theory(equality)]) ).
cnf(376,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0)
| ~ m1_group_2(esk15_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(spm,[status(thm)],[190,140,theory(equality)]) ).
cnf(377,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0)
| $false
| ~ l1_group_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[376,194,theory(equality)]) ).
cnf(378,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0)
| $false
| $false
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[377,206,theory(equality)]) ).
cnf(379,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0)
| $false
| $false
| $false
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[378,207,theory(equality)]) ).
cnf(380,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[379,208,theory(equality)]) ).
cnf(381,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk15_0) ),
inference(cn,[status(thm)],[380,theory(equality)]) ).
cnf(382,negated_conjecture,
~ m1_group_2(esk14_0,esk15_0),
inference(sr,[status(thm)],[381,209,theory(equality)]) ).
cnf(391,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0)
| ~ m1_group_2(esk13_0,esk10_0)
| ~ l1_group_1(esk10_0)
| ~ v4_group_1(esk10_0)
| ~ v3_group_1(esk10_0) ),
inference(spm,[status(thm)],[141,191,theory(equality)]) ).
cnf(393,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0)
| $false
| ~ l1_group_1(esk10_0)
| ~ v4_group_1(esk10_0)
| ~ v3_group_1(esk10_0) ),
inference(rw,[status(thm)],[391,196,theory(equality)]) ).
cnf(394,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0)
| $false
| $false
| ~ v4_group_1(esk10_0)
| ~ v3_group_1(esk10_0) ),
inference(rw,[status(thm)],[393,202,theory(equality)]) ).
cnf(395,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| ~ v3_group_1(esk10_0) ),
inference(rw,[status(thm)],[394,203,theory(equality)]) ).
cnf(396,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[395,204,theory(equality)]) ).
cnf(397,negated_conjecture,
( m1_group_2(esk12_0,esk13_0)
| v3_struct_0(esk10_0) ),
inference(cn,[status(thm)],[396,theory(equality)]) ).
cnf(398,negated_conjecture,
m1_group_2(esk12_0,esk13_0),
inference(sr,[status(thm)],[397,205,theory(equality)]) ).
cnf(409,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| ~ v1_funct_1(esk11_0)
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(spm,[status(thm)],[193,144,theory(equality)]) ).
cnf(410,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk13_0)) = u1_struct_0(esk15_0)
| ~ v1_funct_1(esk11_0)
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(spm,[status(thm)],[192,144,theory(equality)]) ).
cnf(411,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| $false
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[409,201,theory(equality)]) ).
cnf(412,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(cn,[status(thm)],[411,theory(equality)]) ).
cnf(413,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk13_0)) = u1_struct_0(esk15_0)
| $false
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[410,201,theory(equality)]) ).
cnf(414,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk13_0)) = u1_struct_0(esk15_0)
| ~ m1_relset_1(esk11_0,u1_struct_0(esk9_0),u1_struct_0(esk10_0)) ),
inference(cn,[status(thm)],[413,theory(equality)]) ).
cnf(426,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[89,175]) ).
cnf(427,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[426,176]) ).
cnf(428,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[427,177]) ).
cnf(502,negated_conjecture,
v1_relat_1(esk11_0),
inference(spm,[status(thm)],[370,198,theory(equality)]) ).
cnf(638,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| $false ),
inference(rw,[status(thm)],[412,354,theory(equality)]) ).
cnf(639,negated_conjecture,
k10_relat_1(esk11_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0),
inference(cn,[status(thm)],[638,theory(equality)]) ).
cnf(640,negated_conjecture,
( r1_tarski(u1_struct_0(esk14_0),k10_relat_1(esk11_0,X1))
| ~ v1_relat_1(esk11_0)
| ~ r1_tarski(u1_struct_0(esk12_0),X1) ),
inference(spm,[status(thm)],[212,639,theory(equality)]) ).
cnf(642,negated_conjecture,
( r1_tarski(u1_struct_0(esk14_0),k10_relat_1(esk11_0,X1))
| $false
| ~ r1_tarski(u1_struct_0(esk12_0),X1) ),
inference(rw,[status(thm)],[640,502,theory(equality)]) ).
cnf(643,negated_conjecture,
( r1_tarski(u1_struct_0(esk14_0),k10_relat_1(esk11_0,X1))
| ~ r1_tarski(u1_struct_0(esk12_0),X1) ),
inference(cn,[status(thm)],[642,theory(equality)]) ).
cnf(646,negated_conjecture,
( k10_relat_1(esk11_0,u1_struct_0(esk13_0)) = u1_struct_0(esk15_0)
| $false ),
inference(rw,[status(thm)],[414,354,theory(equality)]) ).
cnf(647,negated_conjecture,
k10_relat_1(esk11_0,u1_struct_0(esk13_0)) = u1_struct_0(esk15_0),
inference(cn,[status(thm)],[646,theory(equality)]) ).
cnf(2326,negated_conjecture,
( r1_tarski(u1_struct_0(esk14_0),u1_struct_0(esk15_0))
| ~ r1_tarski(u1_struct_0(esk12_0),u1_struct_0(esk13_0)) ),
inference(spm,[status(thm)],[643,647,theory(equality)]) ).
cnf(2625,negated_conjecture,
( m1_group_2(esk14_0,esk15_0)
| v3_struct_0(X1)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ r1_tarski(u1_struct_0(esk12_0),u1_struct_0(esk13_0)) ),
inference(spm,[status(thm)],[79,2326,theory(equality)]) ).
cnf(2627,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ r1_tarski(u1_struct_0(esk12_0),u1_struct_0(esk13_0)) ),
inference(sr,[status(thm)],[2625,382,theory(equality)]) ).
cnf(3162,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk13_0)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(esk12_0,esk13_0)
| ~ l1_group_1(esk13_0)
| ~ v3_group_1(esk13_0) ),
inference(spm,[status(thm)],[2627,428,theory(equality)]) ).
cnf(3163,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk13_0)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| ~ l1_group_1(esk13_0)
| ~ v3_group_1(esk13_0) ),
inference(rw,[status(thm)],[3162,398,theory(equality)]) ).
cnf(3164,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk13_0)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| $false
| ~ v3_group_1(esk13_0) ),
inference(rw,[status(thm)],[3163,318,theory(equality)]) ).
cnf(3165,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk13_0)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3164,298,theory(equality)]) ).
cnf(3166,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk13_0)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[3165,theory(equality)]) ).
cnf(3167,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk15_0,X1)
| ~ m1_group_2(esk14_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[3166,338,theory(equality)]) ).
cnf(3168,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk15_0,esk9_0)
| ~ m1_group_2(esk14_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(spm,[status(thm)],[3167,207,theory(equality)]) ).
cnf(3170,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| ~ m1_group_2(esk14_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[3168,194,theory(equality)]) ).
cnf(3171,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[3170,195,theory(equality)]) ).
cnf(3172,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| $false
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[3171,206,theory(equality)]) ).
cnf(3173,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3172,208,theory(equality)]) ).
cnf(3174,negated_conjecture,
v3_struct_0(esk9_0),
inference(cn,[status(thm)],[3173,theory(equality)]) ).
cnf(3175,negated_conjecture,
$false,
inference(sr,[status(thm)],[3174,209,theory(equality)]) ).
cnf(3176,negated_conjecture,
$false,
3175,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP638+1.p
% --creating new selector for []
% -running prover on /tmp/tmp_IHtEh/sel_GRP638+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP638+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP638+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP638+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------