TSTP Solution File: SEU272+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU272+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sun Dec 26 06:34:55 EST 2010
% Result : Theorem 12.16s
% Output : CNFRefutation 12.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 2
% Syntax : Number of formulae : 148 ( 8 unt; 0 def)
% Number of atoms : 907 ( 290 equ)
% Maximal formula atoms : 252 ( 6 avg)
% Number of connectives : 1179 ( 420 ~; 604 |; 147 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 224 ( 0 sgn 47 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1,X2] :
( ordinal(X2)
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X1) )
& X3 = X5
& ? [X7] :
( ordinal(X7)
& X5 = X7
& in(X7,X1) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,succ(X2))
& X5 = X4
& ? [X8] :
( ordinal(X8)
& X4 = X8
& in(X8,X1) ) ) ) ) ),
file('/tmp/tmpzwWSQk/sel_SEU272+1.p_1',s1_tarski__e8_6__wellord2__1) ).
fof(11,conjecture,
! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
file('/tmp/tmpzwWSQk/sel_SEU272+1.p_1',s1_xboole_0__e8_6__wellord2__1) ).
fof(15,negated_conjecture,
~ ! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(52,plain,
! [X1,X2] :
( ~ ordinal(X2)
| ? [X3,X4,X5] :
( X3 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X1) )
& X3 = X5
& ? [X7] :
( ordinal(X7)
& X5 = X7
& in(X7,X1) )
& X4 != X5 )
| ? [X3] :
! [X4] :
( ( ~ in(X4,X3)
| ? [X5] :
( in(X5,succ(X2))
& X5 = X4
& ? [X8] :
( ordinal(X8)
& X4 = X8
& in(X8,X1) ) ) )
& ( ! [X5] :
( ~ in(X5,succ(X2))
| X5 != X4
| ! [X8] :
( ~ ordinal(X8)
| X4 != X8
| ~ in(X8,X1) ) )
| in(X4,X3) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(53,plain,
! [X9,X10] :
( ~ ordinal(X10)
| ? [X11,X12,X13] :
( X11 = X12
& ? [X14] :
( ordinal(X14)
& X12 = X14
& in(X14,X9) )
& X11 = X13
& ? [X15] :
( ordinal(X15)
& X13 = X15
& in(X15,X9) )
& X12 != X13 )
| ? [X16] :
! [X17] :
( ( ~ in(X17,X16)
| ? [X18] :
( in(X18,succ(X10))
& X18 = X17
& ? [X19] :
( ordinal(X19)
& X17 = X19
& in(X19,X9) ) ) )
& ( ! [X20] :
( ~ in(X20,succ(X10))
| X20 != X17
| ! [X21] :
( ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9) ) )
| in(X17,X16) ) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X9,X10] :
( ~ ordinal(X10)
| ( esk4_2(X9,X10) = esk5_2(X9,X10)
& ordinal(esk7_2(X9,X10))
& esk5_2(X9,X10) = esk7_2(X9,X10)
& in(esk7_2(X9,X10),X9)
& esk4_2(X9,X10) = esk6_2(X9,X10)
& ordinal(esk8_2(X9,X10))
& esk6_2(X9,X10) = esk8_2(X9,X10)
& in(esk8_2(X9,X10),X9)
& esk5_2(X9,X10) != esk6_2(X9,X10) )
| ! [X17] :
( ( ~ in(X17,esk9_2(X9,X10))
| ( in(esk10_3(X9,X10,X17),succ(X10))
& esk10_3(X9,X10,X17) = X17
& ordinal(esk11_3(X9,X10,X17))
& X17 = esk11_3(X9,X10,X17)
& in(esk11_3(X9,X10,X17),X9) ) )
& ( ! [X20] :
( ~ in(X20,succ(X10))
| X20 != X17
| ! [X21] :
( ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9) ) )
| in(X17,esk9_2(X9,X10)) ) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X9,X10,X17,X20,X21] :
( ( ( ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10)) )
& ( ~ in(X17,esk9_2(X9,X10))
| ( in(esk10_3(X9,X10,X17),succ(X10))
& esk10_3(X9,X10,X17) = X17
& ordinal(esk11_3(X9,X10,X17))
& X17 = esk11_3(X9,X10,X17)
& in(esk11_3(X9,X10,X17),X9) ) ) )
| ( esk4_2(X9,X10) = esk5_2(X9,X10)
& ordinal(esk7_2(X9,X10))
& esk5_2(X9,X10) = esk7_2(X9,X10)
& in(esk7_2(X9,X10),X9)
& esk4_2(X9,X10) = esk6_2(X9,X10)
& ordinal(esk8_2(X9,X10))
& esk6_2(X9,X10) = esk8_2(X9,X10)
& in(esk8_2(X9,X10),X9)
& esk5_2(X9,X10) != esk6_2(X9,X10) )
| ~ ordinal(X10) ),
inference(shift_quantors,[status(thm)],[54]) ).
fof(56,plain,
! [X9,X10,X17,X20,X21] :
( ( esk4_2(X9,X10) = esk5_2(X9,X10)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| ~ ordinal(X21)
| X17 != X21
| ~ in(X21,X9)
| ~ in(X20,succ(X10))
| X20 != X17
| in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk5_2(X9,X10)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| in(esk10_3(X9,X10,X17),succ(X10))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk5_2(X9,X10)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| esk10_3(X9,X10,X17) = X17
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk5_2(X9,X10)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| ordinal(esk11_3(X9,X10,X17))
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk5_2(X9,X10)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| X17 = esk11_3(X9,X10,X17)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk5_2(X9,X10)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk7_2(X9,X10))
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) = esk7_2(X9,X10)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk7_2(X9,X10),X9)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk4_2(X9,X10) = esk6_2(X9,X10)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( ordinal(esk8_2(X9,X10))
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk6_2(X9,X10) = esk8_2(X9,X10)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( in(esk8_2(X9,X10),X9)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) )
& ( esk5_2(X9,X10) != esk6_2(X9,X10)
| in(esk11_3(X9,X10,X17),X9)
| ~ in(X17,esk9_2(X9,X10))
| ~ ordinal(X10) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(57,plain,
( in(esk11_3(X3,X1,X2),X3)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1))
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(61,plain,
( in(esk11_3(X3,X1,X2),X3)
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(65,plain,
( in(esk11_3(X3,X1,X2),X3)
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(66,plain,
( X2 = esk11_3(X3,X1,X2)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1))
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(70,plain,
( X2 = esk11_3(X3,X1,X2)
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(74,plain,
( X2 = esk11_3(X3,X1,X2)
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(75,plain,
( ordinal(esk11_3(X3,X1,X2))
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1))
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(79,plain,
( ordinal(esk11_3(X3,X1,X2))
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(83,plain,
( ordinal(esk11_3(X3,X1,X2))
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(84,plain,
( esk10_3(X3,X1,X2) = X2
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1))
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(88,plain,
( esk10_3(X3,X1,X2) = X2
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(92,plain,
( esk10_3(X3,X1,X2) = X2
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(93,plain,
( in(esk10_3(X3,X1,X2),succ(X1))
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1))
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(97,plain,
( in(esk10_3(X3,X1,X2),succ(X1))
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(101,plain,
( in(esk10_3(X3,X1,X2),succ(X1))
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| ~ in(X2,esk9_2(X3,X1)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(102,plain,
( in(X2,esk9_2(X3,X1))
| ~ ordinal(X1)
| X4 != X2
| ~ in(X4,succ(X1))
| ~ in(X5,X3)
| X2 != X5
| ~ ordinal(X5)
| esk5_2(X3,X1) != esk6_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(106,plain,
( in(X2,esk9_2(X3,X1))
| esk4_2(X3,X1) = esk6_2(X3,X1)
| ~ ordinal(X1)
| X4 != X2
| ~ in(X4,succ(X1))
| ~ in(X5,X3)
| X2 != X5
| ~ ordinal(X5) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(110,plain,
( in(X2,esk9_2(X3,X1))
| esk4_2(X3,X1) = esk5_2(X3,X1)
| ~ ordinal(X1)
| X4 != X2
| ~ in(X4,succ(X1))
| ~ in(X5,X3)
| X2 != X5
| ~ ordinal(X5) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(119,negated_conjecture,
? [X1,X2] :
( ordinal(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,succ(X2))
| ! [X5] :
( ~ ordinal(X5)
| X4 != X5
| ~ in(X5,X1) ) )
& ( in(X4,X3)
| ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(120,negated_conjecture,
? [X6,X7] :
( ordinal(X7)
& ! [X8] :
? [X9] :
( ( ~ in(X9,X8)
| ~ in(X9,succ(X7))
| ! [X10] :
( ~ ordinal(X10)
| X9 != X10
| ~ in(X10,X6) ) )
& ( in(X9,X8)
| ( in(X9,succ(X7))
& ? [X11] :
( ordinal(X11)
& X9 = X11
& in(X11,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(121,negated_conjecture,
( ordinal(esk13_0)
& ! [X8] :
( ( ~ in(esk14_1(X8),X8)
| ~ in(esk14_1(X8),succ(esk13_0))
| ! [X10] :
( ~ ordinal(X10)
| esk14_1(X8) != X10
| ~ in(X10,esk12_0) ) )
& ( in(esk14_1(X8),X8)
| ( in(esk14_1(X8),succ(esk13_0))
& ordinal(esk15_1(X8))
& esk14_1(X8) = esk15_1(X8)
& in(esk15_1(X8),esk12_0) ) ) ) ),
inference(skolemize,[status(esa)],[120]) ).
fof(122,negated_conjecture,
! [X8,X10] :
( ( ~ ordinal(X10)
| esk14_1(X8) != X10
| ~ in(X10,esk12_0)
| ~ in(esk14_1(X8),succ(esk13_0))
| ~ in(esk14_1(X8),X8) )
& ( in(esk14_1(X8),X8)
| ( in(esk14_1(X8),succ(esk13_0))
& ordinal(esk15_1(X8))
& esk14_1(X8) = esk15_1(X8)
& in(esk15_1(X8),esk12_0) ) )
& ordinal(esk13_0) ),
inference(shift_quantors,[status(thm)],[121]) ).
fof(123,negated_conjecture,
! [X8,X10] :
( ( ~ ordinal(X10)
| esk14_1(X8) != X10
| ~ in(X10,esk12_0)
| ~ in(esk14_1(X8),succ(esk13_0))
| ~ in(esk14_1(X8),X8) )
& ( in(esk14_1(X8),succ(esk13_0))
| in(esk14_1(X8),X8) )
& ( ordinal(esk15_1(X8))
| in(esk14_1(X8),X8) )
& ( esk14_1(X8) = esk15_1(X8)
| in(esk14_1(X8),X8) )
& ( in(esk15_1(X8),esk12_0)
| in(esk14_1(X8),X8) )
& ordinal(esk13_0) ),
inference(distribute,[status(thm)],[122]) ).
cnf(124,negated_conjecture,
ordinal(esk13_0),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(125,negated_conjecture,
( in(esk14_1(X1),X1)
| in(esk15_1(X1),esk12_0) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(126,negated_conjecture,
( in(esk14_1(X1),X1)
| esk14_1(X1) = esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(127,negated_conjecture,
( in(esk14_1(X1),X1)
| ordinal(esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(128,negated_conjecture,
( in(esk14_1(X1),X1)
| in(esk14_1(X1),succ(esk13_0)) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(129,negated_conjecture,
( ~ in(esk14_1(X1),X1)
| ~ in(esk14_1(X1),succ(esk13_0))
| ~ in(X2,esk12_0)
| esk14_1(X1) != X2
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(147,negated_conjecture,
( in(esk14_1(X1),X1)
| ordinal(esk14_1(X1)) ),
inference(spm,[status(thm)],[127,126,theory(equality)]) ).
cnf(148,negated_conjecture,
( in(esk14_1(X1),esk12_0)
| in(esk14_1(X1),X1) ),
inference(spm,[status(thm)],[125,126,theory(equality)]) ).
cnf(206,plain,
( esk4_2(X1,X2) = esk5_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| X3 != X4
| ~ in(X4,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[110,theory(equality)]) ).
cnf(207,plain,
( esk4_2(X1,X2) = esk5_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[206,theory(equality)]) ).
cnf(242,plain,
( in(X3,succ(X2))
| esk6_2(X1,X2) != esk5_2(X1,X2)
| ~ in(X3,esk9_2(X1,X2))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[93,84,theory(equality)]) ).
cnf(268,plain,
( esk4_2(X1,X2) = esk6_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| X3 != X4
| ~ in(X4,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[106,theory(equality)]) ).
cnf(269,plain,
( esk4_2(X1,X2) = esk6_2(X1,X2)
| in(X3,esk9_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[268,theory(equality)]) ).
cnf(401,plain,
( in(X1,esk9_2(X2,X3))
| esk6_2(X2,X3) != esk5_2(X2,X3)
| X1 != X4
| ~ in(X4,succ(X3))
| ~ in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X3) ),
inference(er,[status(thm)],[102,theory(equality)]) ).
cnf(402,plain,
( in(X1,esk9_2(X2,X3))
| esk6_2(X2,X3) != esk5_2(X2,X3)
| ~ in(X1,succ(X3))
| ~ in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X3) ),
inference(er,[status(thm)],[401,theory(equality)]) ).
cnf(520,negated_conjecture,
( esk4_2(X1,X2) = esk5_2(X1,X2)
| esk11_3(X1,X2,esk14_1(esk9_2(X1,X2))) = esk14_1(esk9_2(X1,X2))
| in(esk14_1(esk9_2(X1,X2)),esk12_0)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[74,148,theory(equality)]) ).
cnf(521,negated_conjecture,
( esk4_2(X1,X2) = esk6_2(X1,X2)
| esk11_3(X1,X2,esk14_1(esk9_2(X1,X2))) = esk14_1(esk9_2(X1,X2))
| in(esk14_1(esk9_2(X1,X2)),esk12_0)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[70,148,theory(equality)]) ).
cnf(552,negated_conjecture,
( in(esk14_1(esk9_2(X1,X2)),succ(X2))
| in(esk14_1(esk9_2(X1,X2)),succ(esk13_0))
| esk6_2(X1,X2) != esk5_2(X1,X2)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[242,128,theory(equality)]) ).
cnf(684,negated_conjecture,
( in(esk14_1(esk9_2(X1,esk13_0)),succ(esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0) ),
inference(spm,[status(thm)],[552,124,theory(equality)]) ).
cnf(703,negated_conjecture,
( esk14_1(esk9_2(X1,esk13_0)) != X2
| ~ in(esk14_1(esk9_2(X1,esk13_0)),esk9_2(X1,esk13_0))
| ~ in(X2,esk12_0)
| ~ ordinal(X2)
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0) ),
inference(spm,[status(thm)],[129,684,theory(equality)]) ).
cnf(4633,negated_conjecture,
( esk4_2(X1,esk13_0) = esk5_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[207,128,theory(equality)]) ).
cnf(4722,negated_conjecture,
( esk4_2(X1,esk13_0) = esk5_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2))
| $false ),
inference(rw,[status(thm)],[4633,124,theory(equality)]) ).
cnf(4723,negated_conjecture,
( esk4_2(X1,esk13_0) = esk5_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2)) ),
inference(cn,[status(thm)],[4722,theory(equality)]) ).
cnf(13091,negated_conjecture,
( esk4_2(X1,esk13_0) = esk6_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[269,128,theory(equality)]) ).
cnf(13247,negated_conjecture,
( esk4_2(X1,esk13_0) = esk6_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2))
| $false ),
inference(rw,[status(thm)],[13091,124,theory(equality)]) ).
cnf(13248,negated_conjecture,
( esk4_2(X1,esk13_0) = esk6_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1)
| ~ ordinal(esk14_1(X2)) ),
inference(cn,[status(thm)],[13247,theory(equality)]) ).
cnf(106092,negated_conjecture,
( esk4_2(X1,esk13_0) = esk5_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1) ),
inference(csr,[status(thm)],[4723,147]) ).
cnf(106102,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(X1),esk9_2(esk12_0,esk13_0))
| in(esk14_1(X1),X1) ),
inference(spm,[status(thm)],[106092,148,theory(equality)]) ).
cnf(107651,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0)) ),
inference(ef,[status(thm)],[106102,theory(equality)]) ).
cnf(107850,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[83,107651,theory(equality)]) ).
cnf(107852,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[92,107651,theory(equality)]) ).
cnf(107854,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[74,107651,theory(equality)]) ).
cnf(107858,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[65,107651,theory(equality)]) ).
cnf(107917,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))))
| $false ),
inference(rw,[status(thm)],[107850,124,theory(equality)]) ).
cnf(107918,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0)))) ),
inference(cn,[status(thm)],[107917,theory(equality)]) ).
cnf(107921,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[107852,124,theory(equality)]) ).
cnf(107922,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[107921,theory(equality)]) ).
cnf(107925,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[107854,124,theory(equality)]) ).
cnf(107926,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[107925,theory(equality)]) ).
cnf(107933,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0)
| $false ),
inference(rw,[status(thm)],[107858,124,theory(equality)]) ).
cnf(107934,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0) ),
inference(cn,[status(thm)],[107933,theory(equality)]) ).
cnf(108171,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[107934,520,theory(equality)]) ).
cnf(108261,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| $false ),
inference(rw,[status(thm)],[108171,124,theory(equality)]) ).
cnf(108262,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(cn,[status(thm)],[108261,theory(equality)]) ).
cnf(108416,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[101,107922,theory(equality)]) ).
cnf(108447,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[108416,124,theory(equality)]) ).
cnf(108448,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[108447,theory(equality)]) ).
cnf(108609,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(spm,[status(thm)],[107918,107926,theory(equality)]) ).
cnf(109275,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0)) ),
inference(csr,[status(thm)],[108448,128]) ).
cnf(109277,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| ~ in(X1,esk12_0)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[129,109275,theory(equality)]) ).
cnf(115804,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[109277,107651]) ).
cnf(115805,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(er,[status(thm)],[115804,theory(equality)]) ).
cnf(115806,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(csr,[status(thm)],[115805,108609]) ).
cnf(115807,negated_conjecture,
esk4_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0),
inference(csr,[status(thm)],[115806,108262]) ).
cnf(137385,negated_conjecture,
( esk4_2(X1,esk13_0) = esk6_2(X1,esk13_0)
| in(esk14_1(X2),esk9_2(X1,esk13_0))
| in(esk14_1(X2),X2)
| ~ in(esk14_1(X2),X1) ),
inference(csr,[status(thm)],[13248,147]) ).
cnf(137395,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(X1),esk9_2(esk12_0,esk13_0))
| in(esk14_1(X1),X1) ),
inference(spm,[status(thm)],[137385,148,theory(equality)]) ).
cnf(137803,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(X1),esk9_2(esk12_0,esk13_0))
| in(esk14_1(X1),X1) ),
inference(rw,[status(thm)],[137395,115807,theory(equality)]) ).
cnf(139589,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0)) ),
inference(ef,[status(thm)],[137803,theory(equality)]) ).
cnf(139821,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[79,139589,theory(equality)]) ).
cnf(139823,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[88,139589,theory(equality)]) ).
cnf(139825,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[70,139589,theory(equality)]) ).
cnf(139829,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0)
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[61,139589,theory(equality)]) ).
cnf(139892,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[139821,115807,theory(equality)]) ).
cnf(139893,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[139892,124,theory(equality)]) ).
cnf(139894,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ordinal(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0)))) ),
inference(cn,[status(thm)],[139893,theory(equality)]) ).
cnf(139898,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[139823,115807,theory(equality)]) ).
cnf(139899,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[139898,124,theory(equality)]) ).
cnf(139900,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk10_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[139899,theory(equality)]) ).
cnf(139904,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[139825,115807,theory(equality)]) ).
cnf(139905,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[139904,124,theory(equality)]) ).
cnf(139906,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))) = esk14_1(esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[139905,theory(equality)]) ).
cnf(139914,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0)
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[139829,115807,theory(equality)]) ).
cnf(139915,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0)
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[139914,124,theory(equality)]) ).
cnf(139916,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk11_3(esk12_0,esk13_0,esk14_1(esk9_2(esk12_0,esk13_0))),esk12_0) ),
inference(cn,[status(thm)],[139915,theory(equality)]) ).
cnf(140279,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[139916,521,theory(equality)]) ).
cnf(140379,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[140279,115807,theory(equality)]) ).
cnf(140380,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[140379,124,theory(equality)]) ).
cnf(140381,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(cn,[status(thm)],[140380,theory(equality)]) ).
cnf(140548,negated_conjecture,
( esk4_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[97,139900,theory(equality)]) ).
cnf(140588,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[140548,115807,theory(equality)]) ).
cnf(140589,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[140588,124,theory(equality)]) ).
cnf(140590,negated_conjecture,
( esk5_2(esk12_0,esk13_0) = esk6_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0))
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[140589,theory(equality)]) ).
cnf(140778,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(spm,[status(thm)],[139894,139906,theory(equality)]) ).
cnf(141593,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0)) ),
inference(csr,[status(thm)],[140590,128]) ).
cnf(141594,negated_conjecture,
in(esk14_1(esk9_2(esk12_0,esk13_0)),succ(esk13_0)),
inference(csr,[status(thm)],[141593,684]) ).
cnf(141596,negated_conjecture,
( esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(esk12_0,esk13_0))
| ~ in(X1,esk12_0)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[129,141594,theory(equality)]) ).
cnf(141604,negated_conjecture,
( in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(X1,esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),X1)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0)))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[402,141594,theory(equality)]) ).
cnf(141622,negated_conjecture,
( in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(X1,esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),X1)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0)))
| $false ),
inference(rw,[status(thm)],[141604,124,theory(equality)]) ).
cnf(141623,negated_conjecture,
( in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(X1,esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),X1)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(cn,[status(thm)],[141622,theory(equality)]) ).
cnf(144694,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[141596,139589,theory(equality)]) ).
cnf(144746,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(er,[status(thm)],[144694,theory(equality)]) ).
cnf(144747,negated_conjecture,
( esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(csr,[status(thm)],[144746,140778]) ).
cnf(144748,negated_conjecture,
esk6_2(esk12_0,esk13_0) = esk5_2(esk12_0,esk13_0),
inference(csr,[status(thm)],[144747,140381]) ).
cnf(144749,negated_conjecture,
( esk11_3(esk12_0,esk13_0,X1) = X1
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[66,144748,theory(equality)]) ).
cnf(144777,negated_conjecture,
( esk11_3(esk12_0,esk13_0,X1) = X1
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[144749,124,theory(equality)]) ).
cnf(144778,negated_conjecture,
( esk11_3(esk12_0,esk13_0,X1) = X1
| ~ in(X1,esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[144777,theory(equality)]) ).
cnf(144779,negated_conjecture,
( ordinal(X1)
| esk6_2(esk12_0,esk13_0) != esk5_2(esk12_0,esk13_0)
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[75,144778,theory(equality)]) ).
cnf(144780,negated_conjecture,
( in(X1,esk12_0)
| esk6_2(esk12_0,esk13_0) != esk5_2(esk12_0,esk13_0)
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(spm,[status(thm)],[57,144778,theory(equality)]) ).
cnf(144967,negated_conjecture,
( ordinal(X1)
| $false
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[144779,144748,theory(equality)]) ).
cnf(144968,negated_conjecture,
( ordinal(X1)
| $false
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[144967,124,theory(equality)]) ).
cnf(144969,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[144968,theory(equality)]) ).
cnf(144970,negated_conjecture,
( in(X1,esk12_0)
| $false
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| ~ ordinal(esk13_0) ),
inference(rw,[status(thm)],[144780,144748,theory(equality)]) ).
cnf(144971,negated_conjecture,
( in(X1,esk12_0)
| $false
| ~ in(X1,esk9_2(esk12_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[144970,124,theory(equality)]) ).
cnf(144972,negated_conjecture,
( in(X1,esk12_0)
| ~ in(X1,esk9_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[144971,theory(equality)]) ).
cnf(145480,negated_conjecture,
ordinal(esk14_1(esk9_2(esk12_0,esk13_0))),
inference(spm,[status(thm)],[144969,147,theory(equality)]) ).
cnf(146203,negated_conjecture,
in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0),
inference(spm,[status(thm)],[144972,148,theory(equality)]) ).
cnf(164152,negated_conjecture,
( in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(X1,esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),X1)
| $false ),
inference(rw,[status(thm)],[141623,145480,theory(equality)]) ).
cnf(164153,negated_conjecture,
( in(esk14_1(esk9_2(esk12_0,esk13_0)),esk9_2(X1,esk13_0))
| esk6_2(X1,esk13_0) != esk5_2(X1,esk13_0)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),X1) ),
inference(cn,[status(thm)],[164152,theory(equality)]) ).
cnf(164189,negated_conjecture,
( esk6_2(esk12_0,esk13_0) != esk5_2(esk12_0,esk13_0)
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(spm,[status(thm)],[703,164153,theory(equality)]) ).
cnf(164273,negated_conjecture,
( $false
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1)
| ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0) ),
inference(rw,[status(thm)],[164189,144748,theory(equality)]) ).
cnf(164274,negated_conjecture,
( $false
| esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1)
| $false ),
inference(rw,[status(thm)],[164273,146203,theory(equality)]) ).
cnf(164275,negated_conjecture,
( esk14_1(esk9_2(esk12_0,esk13_0)) != X1
| ~ in(X1,esk12_0)
| ~ ordinal(X1) ),
inference(cn,[status(thm)],[164274,theory(equality)]) ).
cnf(164305,negated_conjecture,
( ~ in(esk14_1(esk9_2(esk12_0,esk13_0)),esk12_0)
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(er,[status(thm)],[164275,theory(equality)]) ).
cnf(164306,negated_conjecture,
( $false
| ~ ordinal(esk14_1(esk9_2(esk12_0,esk13_0))) ),
inference(rw,[status(thm)],[164305,146203,theory(equality)]) ).
cnf(164307,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[164306,145480,theory(equality)]) ).
cnf(164308,negated_conjecture,
$false,
inference(cn,[status(thm)],[164307,theory(equality)]) ).
cnf(164309,negated_conjecture,
$false,
164308,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU272+1.p
% --creating new selector for []
% -running prover on /tmp/tmpzwWSQk/sel_SEU272+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU272+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU272+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU272+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
%
%------------------------------------------------------------------------------