TSTP Solution File: LAT376+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT376+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 17:06:37 EST 2010
% Result : Theorem 24.26s
% Output : CNFRefutation 24.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 13
% Syntax : Number of formulae : 119 ( 6 unt; 0 def)
% Number of atoms : 939 ( 11 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 1178 ( 358 ~; 478 |; 303 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,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/tmpC_AHkJ/sel_LAT376+1.p_1',fc6_waybel34) ).
fof(37,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',cc2_setfam_1) ).
fof(45,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/tmpC_AHkJ/sel_LAT376+1.p_1',fc7_waybel34) ).
fof(75,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',t52_yellow20) ).
fof(79,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/tmpC_AHkJ/sel_LAT376+1.p_1',fc5_waybel34) ).
fof(96,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',t56_waybel34) ).
fof(101,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',t57_waybel34) ).
fof(105,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',dt_k8_waybel34) ).
fof(108,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/tmpC_AHkJ/sel_LAT376+1.p_1',dt_k4_waybel34) ).
fof(116,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',dt_k9_waybel34) ).
fof(123,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
file('/tmp/tmpC_AHkJ/sel_LAT376+1.p_1',t18_waybel34) ).
fof(124,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/tmpC_AHkJ/sel_LAT376+1.p_1',dt_k5_waybel34) ).
fof(127,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/tmpC_AHkJ/sel_LAT376+1.p_1',dt_k6_waybel34) ).
fof(128,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(assume_negation,[status(cth)],[101]) ).
fof(131,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)],[8,theory(equality)]) ).
fof(142,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(145,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)],[45,theory(equality)]) ).
fof(154,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[75,theory(equality)]) ).
fof(155,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)],[79,theory(equality)]) ).
fof(161,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[96,theory(equality)]) ).
fof(162,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[128,theory(equality)]) ).
fof(164,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[105,theory(equality)]) ).
fof(165,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)],[108,theory(equality)]) ).
fof(167,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[116,theory(equality)]) ).
fof(171,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
inference(fof_simplification,[status(thm)],[123,theory(equality)]) ).
fof(172,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)],[124,theory(equality)]) ).
fof(174,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)],[127,theory(equality)]) ).
fof(219,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)],[131]) ).
fof(220,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)],[219]) ).
fof(221,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)],[220]) ).
cnf(229,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(230,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(233,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(234,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
fof(366,plain,
! [X1] :
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(fof_nnf,[status(thm)],[142]) ).
fof(367,plain,
! [X2] :
( v2_setfam_1(X2)
| ~ v1_xboole_0(X2) ),
inference(variable_rename,[status(thm)],[366]) ).
cnf(368,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[367]) ).
fof(412,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)],[145]) ).
fof(413,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)],[412]) ).
fof(414,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)],[413]) ).
cnf(415,plain,
( v2_setfam_1(X1)
| v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[414]) ).
cnf(416,plain,
( v2_setfam_1(X1)
| v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[414]) ).
fof(560,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ! [X3] :
( ~ v16_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ! [X4] :
( v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| ! [X5] :
( v3_struct_0(X5)
| ~ v2_altcat_1(X5)
| ~ v3_altcat_2(X5,X2)
| ~ m1_altcat_2(X5,X2)
| ~ r3_yellow20(X1,X2,X3,X4,X5)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[154]) ).
fof(561,plain,
! [X6] :
( v3_struct_0(X6)
| ~ v2_altcat_1(X6)
| ~ v11_altcat_1(X6)
| ~ v12_altcat_1(X6)
| ~ l2_altcat_1(X6)
| ! [X7] :
( v3_struct_0(X7)
| ~ v2_altcat_1(X7)
| ~ v11_altcat_1(X7)
| ~ v12_altcat_1(X7)
| ~ l2_altcat_1(X7)
| ! [X8] :
( ~ v16_functor0(X8,X6,X7)
| ~ m2_functor0(X8,X6,X7)
| ~ v21_functor0(X8,X6,X7)
| ! [X9] :
( v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v3_altcat_2(X9,X6)
| ~ m1_altcat_2(X9,X6)
| ! [X10] :
( v3_struct_0(X10)
| ~ v2_altcat_1(X10)
| ~ v3_altcat_2(X10,X7)
| ~ m1_altcat_2(X10,X7)
| ~ r3_yellow20(X6,X7,X8,X9,X10)
| r3_yellow20(X7,X6,k15_functor0(X6,X7,X8),X10,X9) ) ) ) ) ),
inference(variable_rename,[status(thm)],[560]) ).
fof(562,plain,
! [X6,X7,X8,X9,X10] :
( v3_struct_0(X10)
| ~ v2_altcat_1(X10)
| ~ v3_altcat_2(X10,X7)
| ~ m1_altcat_2(X10,X7)
| ~ r3_yellow20(X6,X7,X8,X9,X10)
| r3_yellow20(X7,X6,k15_functor0(X6,X7,X8),X10,X9)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v3_altcat_2(X9,X6)
| ~ m1_altcat_2(X9,X6)
| ~ v21_functor0(X8,X6,X7)
| ~ v16_functor0(X8,X6,X7)
| ~ m2_functor0(X8,X6,X7)
| v3_struct_0(X7)
| ~ v2_altcat_1(X7)
| ~ v11_altcat_1(X7)
| ~ v12_altcat_1(X7)
| ~ l2_altcat_1(X7)
| v3_struct_0(X6)
| ~ v2_altcat_1(X6)
| ~ v11_altcat_1(X6)
| ~ v12_altcat_1(X6)
| ~ l2_altcat_1(X6) ),
inference(shift_quantors,[status(thm)],[561]) ).
cnf(563,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4)
| v3_struct_0(X5)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v2_altcat_1(X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v16_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| ~ r3_yellow20(X1,X2,X3,X4,X5)
| ~ m1_altcat_2(X5,X2)
| ~ v3_altcat_2(X5,X2)
| ~ v2_altcat_1(X5) ),
inference(split_conjunct,[status(thm)],[562]) ).
fof(577,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)],[155]) ).
fof(578,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)],[577]) ).
fof(579,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)],[578]) ).
cnf(587,plain,
( v2_setfam_1(X1)
| v12_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[579]) ).
cnf(588,plain,
( v2_setfam_1(X1)
| v11_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[579]) ).
cnf(591,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[579]) ).
cnf(592,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[579]) ).
fof(668,plain,
! [X1] :
( v2_setfam_1(X1)
| r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
inference(fof_nnf,[status(thm)],[161]) ).
fof(669,plain,
! [X2] :
( v2_setfam_1(X2)
| r3_yellow20(k4_waybel34(X2),k5_waybel34(X2),k6_waybel34(X2),k8_waybel34(X2),k9_waybel34(X2)) ),
inference(variable_rename,[status(thm)],[668]) ).
cnf(670,plain,
( r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[669]) ).
fof(684,negated_conjecture,
? [X1] :
( ~ v2_setfam_1(X1)
& ~ r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
inference(fof_nnf,[status(thm)],[162]) ).
fof(685,negated_conjecture,
? [X2] :
( ~ v2_setfam_1(X2)
& ~ r3_yellow20(k5_waybel34(X2),k4_waybel34(X2),k7_waybel34(X2),k9_waybel34(X2),k8_waybel34(X2)) ),
inference(variable_rename,[status(thm)],[684]) ).
fof(686,negated_conjecture,
( ~ v2_setfam_1(esk24_0)
& ~ r3_yellow20(k5_waybel34(esk24_0),k4_waybel34(esk24_0),k7_waybel34(esk24_0),k9_waybel34(esk24_0),k8_waybel34(esk24_0)) ),
inference(skolemize,[status(esa)],[685]) ).
cnf(687,negated_conjecture,
~ r3_yellow20(k5_waybel34(esk24_0),k4_waybel34(esk24_0),k7_waybel34(esk24_0),k9_waybel34(esk24_0),k8_waybel34(esk24_0)),
inference(split_conjunct,[status(thm)],[686]) ).
cnf(688,negated_conjecture,
~ v2_setfam_1(esk24_0),
inference(split_conjunct,[status(thm)],[686]) ).
fof(705,plain,
! [X1] :
( v1_xboole_0(X1)
| ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[164]) ).
fof(706,plain,
! [X2] :
( v1_xboole_0(X2)
| ( ~ v3_struct_0(k8_waybel34(X2))
& v2_altcat_1(k8_waybel34(X2))
& v6_altcat_1(k8_waybel34(X2))
& v3_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
& m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[705]) ).
fof(707,plain,
! [X2] :
( ( ~ v3_struct_0(k8_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_altcat_1(k8_waybel34(X2))
| v1_xboole_0(X2) )
& ( v6_altcat_1(k8_waybel34(X2))
| v1_xboole_0(X2) )
& ( v3_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| v1_xboole_0(X2) )
& ( m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[706]) ).
cnf(708,plain,
( v1_xboole_0(X1)
| m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[707]) ).
cnf(709,plain,
( v1_xboole_0(X1)
| v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[707]) ).
cnf(711,plain,
( v1_xboole_0(X1)
| v2_altcat_1(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[707]) ).
cnf(712,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[707]) ).
fof(719,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)],[165]) ).
fof(720,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)],[719]) ).
fof(721,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)],[720]) ).
cnf(722,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[721]) ).
fof(763,plain,
! [X1] :
( v2_setfam_1(X1)
| ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_nnf,[status(thm)],[167]) ).
fof(764,plain,
! [X2] :
( v2_setfam_1(X2)
| ( ~ v3_struct_0(k9_waybel34(X2))
& v2_altcat_1(k9_waybel34(X2))
& v6_altcat_1(k9_waybel34(X2))
& v3_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
& m1_altcat_2(k9_waybel34(X2),k5_waybel34(X2)) ) ),
inference(variable_rename,[status(thm)],[763]) ).
fof(765,plain,
! [X2] :
( ( ~ v3_struct_0(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_altcat_1(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v6_altcat_1(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( m1_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[764]) ).
cnf(766,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[765]) ).
cnf(767,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[765]) ).
cnf(769,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[765]) ).
cnf(770,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[765]) ).
fof(811,plain,
! [X1] :
( v2_setfam_1(X1)
| ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
inference(fof_nnf,[status(thm)],[171]) ).
fof(812,plain,
! [X2] :
( v2_setfam_1(X2)
| ( k15_functor0(k4_waybel34(X2),k5_waybel34(X2),k6_waybel34(X2)) = k7_waybel34(X2)
& k15_functor0(k5_waybel34(X2),k4_waybel34(X2),k7_waybel34(X2)) = k6_waybel34(X2) ) ),
inference(variable_rename,[status(thm)],[811]) ).
fof(813,plain,
! [X2] :
( ( k15_functor0(k4_waybel34(X2),k5_waybel34(X2),k6_waybel34(X2)) = k7_waybel34(X2)
| v2_setfam_1(X2) )
& ( k15_functor0(k5_waybel34(X2),k4_waybel34(X2),k7_waybel34(X2)) = k6_waybel34(X2)
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[812]) ).
cnf(815,plain,
( v2_setfam_1(X1)
| k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1) ),
inference(split_conjunct,[status(thm)],[813]) ).
fof(816,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)],[172]) ).
fof(817,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)],[816]) ).
fof(818,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)],[817]) ).
cnf(819,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[818]) ).
fof(842,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)],[174]) ).
fof(843,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)],[842]) ).
fof(844,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)],[843]) ).
cnf(845,plain,
( v2_setfam_1(X1)
| m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[844]) ).
cnf(1175,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| v2_setfam_1(X1)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3)
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(k4_waybel34(X1)) ),
inference(spm,[status(thm)],[563,815,theory(equality)]) ).
cnf(6360,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[1175,591]) ).
cnf(6361,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6360,233]) ).
cnf(6362,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6361,588]) ).
cnf(6363,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6362,230]) ).
cnf(6364,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6363,587]) ).
cnf(6365,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_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))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6364,229]) ).
cnf(6366,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6365,845]) ).
cnf(6367,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6366,416]) ).
cnf(6368,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6367,415]) ).
cnf(6369,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(k4_waybel34(X1))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6368,234]) ).
cnf(6370,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
| v2_setfam_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2)
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X3,k4_waybel34(X1))
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ m1_altcat_2(X3,k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X3) ),
inference(csr,[status(thm)],[6369,592]) ).
cnf(6371,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| v3_struct_0(k9_waybel34(X1))
| v3_struct_0(k8_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1)) ),
inference(spm,[status(thm)],[6370,670,theory(equality)]) ).
cnf(111760,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| v3_struct_0(k9_waybel34(X1))
| v3_struct_0(k8_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1)) ),
inference(csr,[status(thm)],[6371,769]) ).
cnf(111761,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| v3_struct_0(k9_waybel34(X1))
| v3_struct_0(k8_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1)) ),
inference(csr,[status(thm)],[111760,766]) ).
cnf(111762,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| v3_struct_0(k9_waybel34(X1))
| v3_struct_0(k8_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1)) ),
inference(csr,[status(thm)],[111761,767]) ).
cnf(111763,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1)
| v3_struct_0(k8_waybel34(X1))
| ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1))
| ~ v2_altcat_1(k8_waybel34(X1)) ),
inference(csr,[status(thm)],[111762,770]) ).
cnf(111764,negated_conjecture,
( v2_setfam_1(esk24_0)
| v3_struct_0(k8_waybel34(esk24_0))
| ~ v3_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ l2_altcat_1(k5_waybel34(esk24_0))
| ~ l2_altcat_1(k4_waybel34(esk24_0))
| ~ v2_altcat_1(k8_waybel34(esk24_0)) ),
inference(spm,[status(thm)],[687,111763,theory(equality)]) ).
cnf(111765,negated_conjecture,
( v3_struct_0(k8_waybel34(esk24_0))
| ~ v3_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ l2_altcat_1(k5_waybel34(esk24_0))
| ~ l2_altcat_1(k4_waybel34(esk24_0))
| ~ v2_altcat_1(k8_waybel34(esk24_0)) ),
inference(sr,[status(thm)],[111764,688,theory(equality)]) ).
cnf(111778,negated_conjecture,
( v3_struct_0(k8_waybel34(esk24_0))
| v1_xboole_0(esk24_0)
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ l2_altcat_1(k5_waybel34(esk24_0))
| ~ l2_altcat_1(k4_waybel34(esk24_0))
| ~ v2_altcat_1(k8_waybel34(esk24_0)) ),
inference(spm,[status(thm)],[111765,709,theory(equality)]) ).
cnf(111779,negated_conjecture,
( v1_xboole_0(esk24_0)
| v3_struct_0(k8_waybel34(esk24_0))
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ l2_altcat_1(k5_waybel34(esk24_0))
| ~ l2_altcat_1(k4_waybel34(esk24_0)) ),
inference(csr,[status(thm)],[111778,711]) ).
cnf(111780,negated_conjecture,
( v1_xboole_0(esk24_0)
| v3_struct_0(k8_waybel34(esk24_0))
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0))
| ~ l2_altcat_1(k5_waybel34(esk24_0)) ),
inference(csr,[status(thm)],[111779,722]) ).
cnf(111781,negated_conjecture,
( v1_xboole_0(esk24_0)
| v3_struct_0(k8_waybel34(esk24_0))
| ~ m1_altcat_2(k8_waybel34(esk24_0),k4_waybel34(esk24_0)) ),
inference(csr,[status(thm)],[111780,819]) ).
cnf(111782,negated_conjecture,
( v1_xboole_0(esk24_0)
| v3_struct_0(k8_waybel34(esk24_0)) ),
inference(csr,[status(thm)],[111781,708]) ).
cnf(111783,negated_conjecture,
v1_xboole_0(esk24_0),
inference(csr,[status(thm)],[111782,712]) ).
cnf(111784,negated_conjecture,
v2_setfam_1(esk24_0),
inference(spm,[status(thm)],[368,111783,theory(equality)]) ).
cnf(111796,negated_conjecture,
$false,
inference(sr,[status(thm)],[111784,688,theory(equality)]) ).
cnf(111797,negated_conjecture,
$false,
111796,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT376+1.p
% --creating new selector for []
% -running prover on /tmp/tmpC_AHkJ/sel_LAT376+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT376+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT376+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT376+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
%
%------------------------------------------------------------------------------