TSTP Solution File: LAT362+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT362+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 16:33:25 EST 2010
% Result : Theorem 0.52s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 7 unt; 0 def)
% Number of atoms : 602 ( 0 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 706 ( 183 ~; 241 |; 259 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',fc6_waybel34) ).
fof(14,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( m2_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) ) ) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',d41_functor0) ).
fof(29,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',t20_waybel34) ).
fof(34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',cc2_setfam_1) ).
fof(41,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',fc7_waybel34) ).
fof(72,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',fc5_waybel34) ).
fof(96,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',dt_k4_waybel34) ).
fof(110,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',dt_k5_waybel34) ).
fof(112,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/tmp/tmp0KcLsV/sel_LAT362+1.p_1',dt_k6_waybel34) ).
fof(114,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(assume_negation,[status(cth)],[29]) ).
fof(115,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(119,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ( r2_functor0(X1,X2)
<=> ? [X3] :
( m2_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(124,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[114,theory(equality)]) ).
fof(126,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(128,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(136,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(141,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[96,theory(equality)]) ).
fof(146,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[110,theory(equality)]) ).
fof(147,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[112,theory(equality)]) ).
fof(165,plain,
! [X1] :
( v2_setfam_1(X1)
| ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[115]) ).
fof(166,plain,
! [X2] :
( v2_setfam_1(X2)
| ( ~ v3_struct_0(k5_waybel34(X2))
& v2_altcat_1(k5_waybel34(X2))
& v6_altcat_1(k5_waybel34(X2))
& v9_altcat_1(k5_waybel34(X2))
& v11_altcat_1(k5_waybel34(X2))
& v12_altcat_1(k5_waybel34(X2))
& v1_altcat_2(k5_waybel34(X2))
& v2_yellow18(k5_waybel34(X2))
& v3_yellow18(k5_waybel34(X2))
& v4_yellow18(k5_waybel34(X2))
& v1_yellow21(k5_waybel34(X2))
& v2_yellow21(k5_waybel34(X2))
& v3_yellow21(k5_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[165]) ).
fof(167,plain,
! [X2] :
( ( ~ v3_struct_0(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_altcat_1(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v6_altcat_1(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v9_altcat_1(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v11_altcat_1(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v12_altcat_1(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v1_altcat_2(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_yellow18(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_yellow18(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v4_yellow18(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v1_yellow21(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_yellow21(k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_yellow21(k5_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(175,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(179,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(180,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(217,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ( ( ~ r2_functor0(X1,X2)
| ? [X3] :
( m2_functor0(X3,X1,X2)
& v21_functor0(X3,X1,X2)
& v16_functor0(X3,X1,X2) ) )
& ( ! [X3] :
( ~ m2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ v16_functor0(X3,X1,X2) )
| r2_functor0(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[119]) ).
fof(218,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| ( ( ~ r2_functor0(X4,X5)
| ? [X6] :
( m2_functor0(X6,X4,X5)
& v21_functor0(X6,X4,X5)
& v16_functor0(X6,X4,X5) ) )
& ( ! [X7] :
( ~ m2_functor0(X7,X4,X5)
| ~ v21_functor0(X7,X4,X5)
| ~ v16_functor0(X7,X4,X5) )
| r2_functor0(X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| ( ( ~ r2_functor0(X4,X5)
| ( m2_functor0(esk6_2(X4,X5),X4,X5)
& v21_functor0(esk6_2(X4,X5),X4,X5)
& v16_functor0(esk6_2(X4,X5),X4,X5) ) )
& ( ! [X7] :
( ~ m2_functor0(X7,X4,X5)
| ~ v21_functor0(X7,X4,X5)
| ~ v16_functor0(X7,X4,X5) )
| r2_functor0(X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[218]) ).
fof(220,plain,
! [X4,X5,X7] :
( ( ( ~ m2_functor0(X7,X4,X5)
| ~ v21_functor0(X7,X4,X5)
| ~ v16_functor0(X7,X4,X5)
| r2_functor0(X4,X5) )
& ( ~ r2_functor0(X4,X5)
| ( m2_functor0(esk6_2(X4,X5),X4,X5)
& v21_functor0(esk6_2(X4,X5),X4,X5)
& v16_functor0(esk6_2(X4,X5),X4,X5) ) ) )
| v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4) ),
inference(shift_quantors,[status(thm)],[219]) ).
fof(221,plain,
! [X4,X5,X7] :
( ( ~ m2_functor0(X7,X4,X5)
| ~ v21_functor0(X7,X4,X5)
| ~ v16_functor0(X7,X4,X5)
| r2_functor0(X4,X5)
| v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4) )
& ( m2_functor0(esk6_2(X4,X5),X4,X5)
| ~ r2_functor0(X4,X5)
| v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4) )
& ( v21_functor0(esk6_2(X4,X5),X4,X5)
| ~ r2_functor0(X4,X5)
| v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4) )
& ( v16_functor0(esk6_2(X4,X5),X4,X5)
| ~ r2_functor0(X4,X5)
| v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v12_altcat_1(X5)
| ~ l2_altcat_1(X5)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v12_altcat_1(X4)
| ~ l2_altcat_1(X4) ) ),
inference(distribute,[status(thm)],[220]) ).
cnf(225,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r2_functor0(X1,X2)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ v16_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[221]) ).
fof(295,negated_conjecture,
? [X1] :
( ~ v2_setfam_1(X1)
& ~ r2_functor0(k4_waybel34(X1),k5_waybel34(X1)) ),
inference(fof_nnf,[status(thm)],[124]) ).
fof(296,negated_conjecture,
? [X2] :
( ~ v2_setfam_1(X2)
& ~ r2_functor0(k4_waybel34(X2),k5_waybel34(X2)) ),
inference(variable_rename,[status(thm)],[295]) ).
fof(297,negated_conjecture,
( ~ v2_setfam_1(esk12_0)
& ~ r2_functor0(k4_waybel34(esk12_0),k5_waybel34(esk12_0)) ),
inference(skolemize,[status(esa)],[296]) ).
cnf(298,negated_conjecture,
~ r2_functor0(k4_waybel34(esk12_0),k5_waybel34(esk12_0)),
inference(split_conjunct,[status(thm)],[297]) ).
cnf(299,negated_conjecture,
~ v2_setfam_1(esk12_0),
inference(split_conjunct,[status(thm)],[297]) ).
fof(314,plain,
! [X1] :
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(fof_nnf,[status(thm)],[126]) ).
fof(315,plain,
! [X2] :
( v2_setfam_1(X2)
| ~ v1_xboole_0(X2) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(316,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[315]) ).
fof(346,plain,
! [X1] :
( v2_setfam_1(X1)
| ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[128]) ).
fof(347,plain,
! [X2] :
( v2_setfam_1(X2)
| ( v6_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v8_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v9_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v11_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v12_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v14_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v16_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v21_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[346]) ).
fof(348,plain,
! [X2] :
( ( v6_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v8_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v9_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v11_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v12_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v14_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v16_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v21_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[347]) ).
cnf(349,plain,
( v2_setfam_1(X1)
| v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[348]) ).
cnf(350,plain,
( v2_setfam_1(X1)
| v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[348]) ).
fof(481,plain,
! [X1] :
( v2_setfam_1(X1)
| ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[136]) ).
fof(482,plain,
! [X2] :
( v2_setfam_1(X2)
| ( ~ v3_struct_0(k4_waybel34(X2))
& v2_altcat_1(k4_waybel34(X2))
& v6_altcat_1(k4_waybel34(X2))
& v9_altcat_1(k4_waybel34(X2))
& v11_altcat_1(k4_waybel34(X2))
& v12_altcat_1(k4_waybel34(X2))
& v1_altcat_2(k4_waybel34(X2))
& v2_yellow18(k4_waybel34(X2))
& v3_yellow18(k4_waybel34(X2))
& v4_yellow18(k4_waybel34(X2))
& v1_yellow21(k4_waybel34(X2))
& v2_yellow21(k4_waybel34(X2))
& v3_yellow21(k4_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[481]) ).
fof(483,plain,
! [X2] :
( ( ~ v3_struct_0(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_altcat_1(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v6_altcat_1(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v9_altcat_1(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v11_altcat_1(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v12_altcat_1(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v1_altcat_2(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_yellow18(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_yellow18(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v4_yellow18(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v1_yellow21(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_yellow21(k4_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_yellow21(k4_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[482]) ).
cnf(491,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[483]) ).
cnf(495,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[483]) ).
cnf(496,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[483]) ).
fof(594,plain,
! [X1] :
( v1_xboole_0(X1)
| ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[141]) ).
fof(595,plain,
! [X2] :
( v1_xboole_0(X2)
| ( ~ v3_struct_0(k4_waybel34(X2))
& v2_altcat_1(k4_waybel34(X2))
& v6_altcat_1(k4_waybel34(X2))
& v11_altcat_1(k4_waybel34(X2))
& v12_altcat_1(k4_waybel34(X2))
& v2_yellow21(k4_waybel34(X2))
& l2_altcat_1(k4_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[594]) ).
fof(596,plain,
! [X2] :
( ( ~ v3_struct_0(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_altcat_1(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( v6_altcat_1(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( v11_altcat_1(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( v12_altcat_1(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_yellow21(k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( l2_altcat_1(k4_waybel34(X2))
| v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[595]) ).
cnf(597,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[596]) ).
fof(678,plain,
! [X1] :
( v1_xboole_0(X1)
| ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[146]) ).
fof(679,plain,
! [X2] :
( v1_xboole_0(X2)
| ( ~ v3_struct_0(k5_waybel34(X2))
& v2_altcat_1(k5_waybel34(X2))
& v6_altcat_1(k5_waybel34(X2))
& v11_altcat_1(k5_waybel34(X2))
& v12_altcat_1(k5_waybel34(X2))
& v2_yellow21(k5_waybel34(X2))
& l2_altcat_1(k5_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[678]) ).
fof(680,plain,
! [X2] :
( ( ~ v3_struct_0(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v6_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v11_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v12_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_yellow21(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( l2_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[679]) ).
cnf(681,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[680]) ).
fof(693,plain,
! [X1] :
( v2_setfam_1(X1)
| ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[147]) ).
fof(694,plain,
! [X2] :
( v2_setfam_1(X2)
| ( v9_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& v16_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
& m2_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[693]) ).
fof(695,plain,
! [X2] :
( ( v9_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( v16_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( m2_functor0(k6_waybel34(X2),k4_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[694]) ).
cnf(696,plain,
( v2_setfam_1(X1)
| m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[695]) ).
cnf(702,negated_conjecture,
~ v1_xboole_0(esk12_0),
inference(spm,[status(thm)],[299,316,theory(equality)]) ).
cnf(944,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(spm,[status(thm)],[225,349,theory(equality)]) ).
cnf(2402,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[944,495]) ).
cnf(2403,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2402,179]) ).
cnf(2404,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2403,491]) ).
cnf(2405,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2404,175]) ).
cnf(2406,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2405,696]) ).
cnf(2407,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2406,350]) ).
cnf(2408,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k4_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2407,180]) ).
cnf(2409,plain,
( r2_functor0(k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[2408,496]) ).
cnf(2410,negated_conjecture,
( v2_setfam_1(esk12_0)
| ~ l2_altcat_1(k5_waybel34(esk12_0))
| ~ l2_altcat_1(k4_waybel34(esk12_0)) ),
inference(spm,[status(thm)],[298,2409,theory(equality)]) ).
cnf(2412,negated_conjecture,
( ~ l2_altcat_1(k5_waybel34(esk12_0))
| ~ l2_altcat_1(k4_waybel34(esk12_0)) ),
inference(sr,[status(thm)],[2410,299,theory(equality)]) ).
cnf(2413,negated_conjecture,
( v1_xboole_0(esk12_0)
| ~ l2_altcat_1(k5_waybel34(esk12_0)) ),
inference(spm,[status(thm)],[2412,597,theory(equality)]) ).
cnf(2414,negated_conjecture,
~ l2_altcat_1(k5_waybel34(esk12_0)),
inference(sr,[status(thm)],[2413,702,theory(equality)]) ).
cnf(2415,negated_conjecture,
v1_xboole_0(esk12_0),
inference(spm,[status(thm)],[2414,681,theory(equality)]) ).
cnf(2416,negated_conjecture,
$false,
inference(sr,[status(thm)],[2415,702,theory(equality)]) ).
cnf(2417,negated_conjecture,
$false,
2416,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT362+1.p
% --creating new selector for []
% -running prover on /tmp/tmp0KcLsV/sel_LAT362+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT362+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT362+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT362+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
%
%------------------------------------------------------------------------------