TSTP Solution File: SET750+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET750+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 03:29:48 EST 2010
% Result : Theorem 78.75s
% Output : CNFRefutation 78.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 5
% Syntax : Number of formulae : 162 ( 9 unt; 0 def)
% Number of atoms : 1177 ( 22 equ)
% Maximal formula atoms : 56 ( 7 avg)
% Number of connectives : 1657 ( 642 ~; 813 |; 187 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-5 aty)
% Number of variables : 532 ( 0 sgn 185 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X6,X3,X7] :
( isomorphism(X1,X2,X6,X3,X7)
<=> ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& ! [X8,X9,X10,X11] :
( ( member(X8,X2)
& member(X9,X3)
& member(X10,X2)
& member(X11,X3)
& apply(X1,X8,X9)
& apply(X1,X10,X11) )
=> ( apply(X6,X8,X10)
<=> apply(X7,X9,X11) ) ) ) ),
file('/tmp/tmpysQYtz/sel_SET750+4.p_2',isomorphism) ).
fof(3,axiom,
! [X1,X2,X6,X3,X7] :
( increasing(X1,X2,X6,X3,X7)
<=> ! [X8,X9,X10,X11] :
( ( member(X8,X2)
& member(X9,X3)
& member(X10,X2)
& member(X11,X3)
& apply(X6,X8,X10)
& apply(X1,X8,X9)
& apply(X1,X10,X11) )
=> apply(X7,X9,X11) ) ),
file('/tmp/tmpysQYtz/sel_SET750+4.p_2',increasing_function) ).
fof(5,axiom,
! [X1,X2,X3] :
( maps(X1,X2,X3)
<=> ( ! [X12] :
( member(X12,X2)
=> ? [X4] :
( member(X4,X3)
& apply(X1,X12,X4) ) )
& ! [X12,X9,X11] :
( ( member(X12,X2)
& member(X9,X3)
& member(X11,X3) )
=> ( ( apply(X1,X12,X9)
& apply(X1,X12,X11) )
=> X9 = X11 ) ) ) ),
file('/tmp/tmpysQYtz/sel_SET750+4.p_2',maps) ).
fof(7,axiom,
! [X1,X2,X3,X12,X4] :
( ( member(X12,X2)
& member(X4,X3) )
=> ( apply(X1,X12,X4)
<=> apply(inverse_function(X1,X2,X3),X4,X12) ) ),
file('/tmp/tmpysQYtz/sel_SET750+4.p_2',inverse_function) ).
fof(8,conjecture,
! [X1,X2,X3,X6,X7] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3) )
=> ( isomorphism(X1,X2,X6,X3,X7)
<=> ( increasing(X1,X2,X6,X3,X7)
& increasing(inverse_function(X1,X2,X3),X3,X7,X2,X6) ) ) ),
file('/tmp/tmpysQYtz/sel_SET750+4.p_2',thII41) ).
fof(9,negated_conjecture,
~ ! [X1,X2,X3,X6,X7] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3) )
=> ( isomorphism(X1,X2,X6,X3,X7)
<=> ( increasing(X1,X2,X6,X3,X7)
& increasing(inverse_function(X1,X2,X3),X3,X7,X2,X6) ) ) ),
inference(assume_negation,[status(cth)],[8]) ).
fof(19,plain,
! [X1,X2,X6,X3,X7] :
( ( ~ isomorphism(X1,X2,X6,X3,X7)
| ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& ! [X8,X9,X10,X11] :
( ~ member(X8,X2)
| ~ member(X9,X3)
| ~ member(X10,X2)
| ~ member(X11,X3)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X10,X11)
| ( ( ~ apply(X6,X8,X10)
| apply(X7,X9,X11) )
& ( ~ apply(X7,X9,X11)
| apply(X6,X8,X10) ) ) ) ) )
& ( ~ maps(X1,X2,X3)
| ~ one_to_one(X1,X2,X3)
| ? [X8,X9,X10,X11] :
( member(X8,X2)
& member(X9,X3)
& member(X10,X2)
& member(X11,X3)
& apply(X1,X8,X9)
& apply(X1,X10,X11)
& ( ~ apply(X6,X8,X10)
| ~ apply(X7,X9,X11) )
& ( apply(X6,X8,X10)
| apply(X7,X9,X11) ) )
| isomorphism(X1,X2,X6,X3,X7) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(20,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ isomorphism(X12,X13,X14,X15,X16)
| ( maps(X12,X13,X15)
& one_to_one(X12,X13,X15)
& ! [X17,X18,X19,X20] :
( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| ( ( ~ apply(X14,X17,X19)
| apply(X16,X18,X20) )
& ( ~ apply(X16,X18,X20)
| apply(X14,X17,X19) ) ) ) ) )
& ( ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| ? [X21,X22,X23,X24] :
( member(X21,X13)
& member(X22,X15)
& member(X23,X13)
& member(X24,X15)
& apply(X12,X21,X22)
& apply(X12,X23,X24)
& ( ~ apply(X14,X21,X23)
| ~ apply(X16,X22,X24) )
& ( apply(X14,X21,X23)
| apply(X16,X22,X24) ) )
| isomorphism(X12,X13,X14,X15,X16) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ isomorphism(X12,X13,X14,X15,X16)
| ( maps(X12,X13,X15)
& one_to_one(X12,X13,X15)
& ! [X17,X18,X19,X20] :
( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| ( ( ~ apply(X14,X17,X19)
| apply(X16,X18,X20) )
& ( ~ apply(X16,X18,X20)
| apply(X14,X17,X19) ) ) ) ) )
& ( ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| ( member(esk3_5(X12,X13,X14,X15,X16),X13)
& member(esk4_5(X12,X13,X14,X15,X16),X15)
& member(esk5_5(X12,X13,X14,X15,X16),X13)
& member(esk6_5(X12,X13,X14,X15,X16),X15)
& apply(X12,esk3_5(X12,X13,X14,X15,X16),esk4_5(X12,X13,X14,X15,X16))
& apply(X12,esk5_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
& ( ~ apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| ~ apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16)) )
& ( apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16)) ) )
| isomorphism(X12,X13,X14,X15,X16) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ( ( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| ( ( ~ apply(X14,X17,X19)
| apply(X16,X18,X20) )
& ( ~ apply(X16,X18,X20)
| apply(X14,X17,X19) ) ) )
& maps(X12,X13,X15)
& one_to_one(X12,X13,X15) )
| ~ isomorphism(X12,X13,X14,X15,X16) )
& ( ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| ( member(esk3_5(X12,X13,X14,X15,X16),X13)
& member(esk4_5(X12,X13,X14,X15,X16),X15)
& member(esk5_5(X12,X13,X14,X15,X16),X13)
& member(esk6_5(X12,X13,X14,X15,X16),X15)
& apply(X12,esk3_5(X12,X13,X14,X15,X16),esk4_5(X12,X13,X14,X15,X16))
& apply(X12,esk5_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
& ( ~ apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| ~ apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16)) )
& ( apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16)) ) )
| isomorphism(X12,X13,X14,X15,X16) ) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ apply(X14,X17,X19)
| apply(X16,X18,X20)
| ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| ~ isomorphism(X12,X13,X14,X15,X16) )
& ( ~ apply(X16,X18,X20)
| apply(X14,X17,X19)
| ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| ~ isomorphism(X12,X13,X14,X15,X16) )
& ( maps(X12,X13,X15)
| ~ isomorphism(X12,X13,X14,X15,X16) )
& ( one_to_one(X12,X13,X15)
| ~ isomorphism(X12,X13,X14,X15,X16) )
& ( member(esk3_5(X12,X13,X14,X15,X16),X13)
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( member(esk4_5(X12,X13,X14,X15,X16),X15)
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( member(esk5_5(X12,X13,X14,X15,X16),X13)
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( member(esk6_5(X12,X13,X14,X15,X16),X15)
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( apply(X12,esk3_5(X12,X13,X14,X15,X16),esk4_5(X12,X13,X14,X15,X16))
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( apply(X12,esk5_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( ~ apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| ~ apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) )
& ( apply(X14,esk3_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| apply(X16,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
| ~ maps(X12,X13,X15)
| ~ one_to_one(X12,X13,X15)
| isomorphism(X12,X13,X14,X15,X16) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(24,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X5,esk4_5(X1,X2,X3,X4,X5),esk6_5(X1,X2,X3,X4,X5))
| apply(X3,esk3_5(X1,X2,X3,X4,X5),esk5_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(25,plain,
( isomorphism(X1,X2,X3,X4,X5)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4)
| ~ apply(X5,esk4_5(X1,X2,X3,X4,X5),esk6_5(X1,X2,X3,X4,X5))
| ~ apply(X3,esk3_5(X1,X2,X3,X4,X5),esk5_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk5_5(X1,X2,X3,X4,X5),esk6_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(27,plain,
( isomorphism(X1,X2,X3,X4,X5)
| apply(X1,esk3_5(X1,X2,X3,X4,X5),esk4_5(X1,X2,X3,X4,X5))
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(28,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk6_5(X1,X2,X3,X4,X5),X4)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(29,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk5_5(X1,X2,X3,X4,X5),X2)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(30,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk4_5(X1,X2,X3,X4,X5),X4)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(31,plain,
( isomorphism(X1,X2,X3,X4,X5)
| member(esk3_5(X1,X2,X3,X4,X5),X2)
| ~ one_to_one(X1,X2,X4)
| ~ maps(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(34,plain,
( apply(X3,X8,X6)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X5,X9,X7) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(35,plain,
( apply(X5,X9,X7)
| ~ isomorphism(X1,X2,X3,X4,X5)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(X7,X4)
| ~ member(X6,X2)
| ~ member(X9,X4)
| ~ member(X8,X2)
| ~ apply(X3,X8,X6) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(36,plain,
! [X1,X2,X6,X3,X7] :
( ( ~ increasing(X1,X2,X6,X3,X7)
| ! [X8,X9,X10,X11] :
( ~ member(X8,X2)
| ~ member(X9,X3)
| ~ member(X10,X2)
| ~ member(X11,X3)
| ~ apply(X6,X8,X10)
| ~ apply(X1,X8,X9)
| ~ apply(X1,X10,X11)
| apply(X7,X9,X11) ) )
& ( ? [X8,X9,X10,X11] :
( member(X8,X2)
& member(X9,X3)
& member(X10,X2)
& member(X11,X3)
& apply(X6,X8,X10)
& apply(X1,X8,X9)
& apply(X1,X10,X11)
& ~ apply(X7,X9,X11) )
| increasing(X1,X2,X6,X3,X7) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(37,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ increasing(X12,X13,X14,X15,X16)
| ! [X17,X18,X19,X20] :
( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X14,X17,X19)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| apply(X16,X18,X20) ) )
& ( ? [X21,X22,X23,X24] :
( member(X21,X13)
& member(X22,X15)
& member(X23,X13)
& member(X24,X15)
& apply(X14,X21,X23)
& apply(X12,X21,X22)
& apply(X12,X23,X24)
& ~ apply(X16,X22,X24) )
| increasing(X12,X13,X14,X15,X16) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ increasing(X12,X13,X14,X15,X16)
| ! [X17,X18,X19,X20] :
( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X14,X17,X19)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| apply(X16,X18,X20) ) )
& ( ( member(esk7_5(X12,X13,X14,X15,X16),X13)
& member(esk8_5(X12,X13,X14,X15,X16),X15)
& member(esk9_5(X12,X13,X14,X15,X16),X13)
& member(esk10_5(X12,X13,X14,X15,X16),X15)
& apply(X14,esk7_5(X12,X13,X14,X15,X16),esk9_5(X12,X13,X14,X15,X16))
& apply(X12,esk7_5(X12,X13,X14,X15,X16),esk8_5(X12,X13,X14,X15,X16))
& apply(X12,esk9_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16))
& ~ apply(X16,esk8_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16)) )
| increasing(X12,X13,X14,X15,X16) ) ),
inference(skolemize,[status(esa)],[37]) ).
fof(39,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X14,X17,X19)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| apply(X16,X18,X20)
| ~ increasing(X12,X13,X14,X15,X16) )
& ( ( member(esk7_5(X12,X13,X14,X15,X16),X13)
& member(esk8_5(X12,X13,X14,X15,X16),X15)
& member(esk9_5(X12,X13,X14,X15,X16),X13)
& member(esk10_5(X12,X13,X14,X15,X16),X15)
& apply(X14,esk7_5(X12,X13,X14,X15,X16),esk9_5(X12,X13,X14,X15,X16))
& apply(X12,esk7_5(X12,X13,X14,X15,X16),esk8_5(X12,X13,X14,X15,X16))
& apply(X12,esk9_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16))
& ~ apply(X16,esk8_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16)) )
| increasing(X12,X13,X14,X15,X16) ) ),
inference(shift_quantors,[status(thm)],[38]) ).
fof(40,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ member(X17,X13)
| ~ member(X18,X15)
| ~ member(X19,X13)
| ~ member(X20,X15)
| ~ apply(X14,X17,X19)
| ~ apply(X12,X17,X18)
| ~ apply(X12,X19,X20)
| apply(X16,X18,X20)
| ~ increasing(X12,X13,X14,X15,X16) )
& ( member(esk7_5(X12,X13,X14,X15,X16),X13)
| increasing(X12,X13,X14,X15,X16) )
& ( member(esk8_5(X12,X13,X14,X15,X16),X15)
| increasing(X12,X13,X14,X15,X16) )
& ( member(esk9_5(X12,X13,X14,X15,X16),X13)
| increasing(X12,X13,X14,X15,X16) )
& ( member(esk10_5(X12,X13,X14,X15,X16),X15)
| increasing(X12,X13,X14,X15,X16) )
& ( apply(X14,esk7_5(X12,X13,X14,X15,X16),esk9_5(X12,X13,X14,X15,X16))
| increasing(X12,X13,X14,X15,X16) )
& ( apply(X12,esk7_5(X12,X13,X14,X15,X16),esk8_5(X12,X13,X14,X15,X16))
| increasing(X12,X13,X14,X15,X16) )
& ( apply(X12,esk9_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16))
| increasing(X12,X13,X14,X15,X16) )
& ( ~ apply(X16,esk8_5(X12,X13,X14,X15,X16),esk10_5(X12,X13,X14,X15,X16))
| increasing(X12,X13,X14,X15,X16) ) ),
inference(distribute,[status(thm)],[39]) ).
cnf(41,plain,
( increasing(X1,X2,X3,X4,X5)
| ~ apply(X5,esk8_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(42,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk9_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(43,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X1,esk7_5(X1,X2,X3,X4,X5),esk8_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(44,plain,
( increasing(X1,X2,X3,X4,X5)
| apply(X3,esk7_5(X1,X2,X3,X4,X5),esk9_5(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(45,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk10_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(46,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk9_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(47,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk8_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(48,plain,
( increasing(X1,X2,X3,X4,X5)
| member(esk7_5(X1,X2,X3,X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(49,plain,
( apply(X5,X6,X7)
| ~ increasing(X1,X2,X3,X4,X5)
| ~ apply(X1,X8,X7)
| ~ apply(X1,X9,X6)
| ~ apply(X3,X9,X8)
| ~ member(X7,X4)
| ~ member(X8,X2)
| ~ member(X6,X4)
| ~ member(X9,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(56,plain,
! [X1,X2,X3] :
( ( ~ maps(X1,X2,X3)
| ( ! [X12] :
( ~ member(X12,X2)
| ? [X4] :
( member(X4,X3)
& apply(X1,X12,X4) ) )
& ! [X12,X9,X11] :
( ~ member(X12,X2)
| ~ member(X9,X3)
| ~ member(X11,X3)
| ~ apply(X1,X12,X9)
| ~ apply(X1,X12,X11)
| X9 = X11 ) ) )
& ( ? [X12] :
( member(X12,X2)
& ! [X4] :
( ~ member(X4,X3)
| ~ apply(X1,X12,X4) ) )
| ? [X12,X9,X11] :
( member(X12,X2)
& member(X9,X3)
& member(X11,X3)
& apply(X1,X12,X9)
& apply(X1,X12,X11)
& X9 != X11 )
| maps(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(57,plain,
! [X13,X14,X15] :
( ( ~ maps(X13,X14,X15)
| ( ! [X16] :
( ~ member(X16,X14)
| ? [X17] :
( member(X17,X15)
& apply(X13,X16,X17) ) )
& ! [X18,X19,X20] :
( ~ member(X18,X14)
| ~ member(X19,X15)
| ~ member(X20,X15)
| ~ apply(X13,X18,X19)
| ~ apply(X13,X18,X20)
| X19 = X20 ) ) )
& ( ? [X21] :
( member(X21,X14)
& ! [X22] :
( ~ member(X22,X15)
| ~ apply(X13,X21,X22) ) )
| ? [X23,X24,X25] :
( member(X23,X14)
& member(X24,X15)
& member(X25,X15)
& apply(X13,X23,X24)
& apply(X13,X23,X25)
& X24 != X25 )
| maps(X13,X14,X15) ) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,plain,
! [X13,X14,X15] :
( ( ~ maps(X13,X14,X15)
| ( ! [X16] :
( ~ member(X16,X14)
| ( member(esk11_4(X13,X14,X15,X16),X15)
& apply(X13,X16,esk11_4(X13,X14,X15,X16)) ) )
& ! [X18,X19,X20] :
( ~ member(X18,X14)
| ~ member(X19,X15)
| ~ member(X20,X15)
| ~ apply(X13,X18,X19)
| ~ apply(X13,X18,X20)
| X19 = X20 ) ) )
& ( ( member(esk12_3(X13,X14,X15),X14)
& ! [X22] :
( ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22) ) )
| ( member(esk13_3(X13,X14,X15),X14)
& member(esk14_3(X13,X14,X15),X15)
& member(esk15_3(X13,X14,X15),X15)
& apply(X13,esk13_3(X13,X14,X15),esk14_3(X13,X14,X15))
& apply(X13,esk13_3(X13,X14,X15),esk15_3(X13,X14,X15))
& esk14_3(X13,X14,X15) != esk15_3(X13,X14,X15) )
| maps(X13,X14,X15) ) ),
inference(skolemize,[status(esa)],[57]) ).
fof(59,plain,
! [X13,X14,X15,X16,X18,X19,X20,X22] :
( ( ( ( ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22) )
& member(esk12_3(X13,X14,X15),X14) )
| ( member(esk13_3(X13,X14,X15),X14)
& member(esk14_3(X13,X14,X15),X15)
& member(esk15_3(X13,X14,X15),X15)
& apply(X13,esk13_3(X13,X14,X15),esk14_3(X13,X14,X15))
& apply(X13,esk13_3(X13,X14,X15),esk15_3(X13,X14,X15))
& esk14_3(X13,X14,X15) != esk15_3(X13,X14,X15) )
| maps(X13,X14,X15) )
& ( ( ( ~ member(X18,X14)
| ~ member(X19,X15)
| ~ member(X20,X15)
| ~ apply(X13,X18,X19)
| ~ apply(X13,X18,X20)
| X19 = X20 )
& ( ~ member(X16,X14)
| ( member(esk11_4(X13,X14,X15,X16),X15)
& apply(X13,X16,esk11_4(X13,X14,X15,X16)) ) ) )
| ~ maps(X13,X14,X15) ) ),
inference(shift_quantors,[status(thm)],[58]) ).
fof(60,plain,
! [X13,X14,X15,X16,X18,X19,X20,X22] :
( ( member(esk13_3(X13,X14,X15),X14)
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk14_3(X13,X14,X15),X15)
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk15_3(X13,X14,X15),X15)
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( apply(X13,esk13_3(X13,X14,X15),esk14_3(X13,X14,X15))
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( apply(X13,esk13_3(X13,X14,X15),esk15_3(X13,X14,X15))
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( esk14_3(X13,X14,X15) != esk15_3(X13,X14,X15)
| ~ member(X22,X15)
| ~ apply(X13,esk12_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk13_3(X13,X14,X15),X14)
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( member(esk14_3(X13,X14,X15),X15)
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( member(esk15_3(X13,X14,X15),X15)
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( apply(X13,esk13_3(X13,X14,X15),esk14_3(X13,X14,X15))
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( apply(X13,esk13_3(X13,X14,X15),esk15_3(X13,X14,X15))
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( esk14_3(X13,X14,X15) != esk15_3(X13,X14,X15)
| member(esk12_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( ~ member(X18,X14)
| ~ member(X19,X15)
| ~ member(X20,X15)
| ~ apply(X13,X18,X19)
| ~ apply(X13,X18,X20)
| X19 = X20
| ~ maps(X13,X14,X15) )
& ( member(esk11_4(X13,X14,X15,X16),X15)
| ~ member(X16,X14)
| ~ maps(X13,X14,X15) )
& ( apply(X13,X16,esk11_4(X13,X14,X15,X16))
| ~ member(X16,X14)
| ~ maps(X13,X14,X15) ) ),
inference(distribute,[status(thm)],[59]) ).
cnf(61,plain,
( apply(X1,X4,esk11_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
( member(esk11_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(63,plain,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(88,plain,
! [X1,X2,X3,X12,X4] :
( ~ member(X12,X2)
| ~ member(X4,X3)
| ( ( ~ apply(X1,X12,X4)
| apply(inverse_function(X1,X2,X3),X4,X12) )
& ( ~ apply(inverse_function(X1,X2,X3),X4,X12)
| apply(X1,X12,X4) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(89,plain,
! [X13,X14,X15,X16,X17] :
( ~ member(X16,X14)
| ~ member(X17,X15)
| ( ( ~ apply(X13,X16,X17)
| apply(inverse_function(X13,X14,X15),X17,X16) )
& ( ~ apply(inverse_function(X13,X14,X15),X17,X16)
| apply(X13,X16,X17) ) ) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(90,plain,
! [X13,X14,X15,X16,X17] :
( ( ~ apply(X13,X16,X17)
| apply(inverse_function(X13,X14,X15),X17,X16)
| ~ member(X16,X14)
| ~ member(X17,X15) )
& ( ~ apply(inverse_function(X13,X14,X15),X17,X16)
| apply(X13,X16,X17)
| ~ member(X16,X14)
| ~ member(X17,X15) ) ),
inference(distribute,[status(thm)],[89]) ).
cnf(91,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(92,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(93,negated_conjecture,
? [X1,X2,X3,X6,X7] :
( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& ( ~ isomorphism(X1,X2,X6,X3,X7)
| ~ increasing(X1,X2,X6,X3,X7)
| ~ increasing(inverse_function(X1,X2,X3),X3,X7,X2,X6) )
& ( isomorphism(X1,X2,X6,X3,X7)
| ( increasing(X1,X2,X6,X3,X7)
& increasing(inverse_function(X1,X2,X3),X3,X7,X2,X6) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(94,negated_conjecture,
? [X8,X9,X10,X11,X12] :
( maps(X8,X9,X10)
& one_to_one(X8,X9,X10)
& ( ~ isomorphism(X8,X9,X11,X10,X12)
| ~ increasing(X8,X9,X11,X10,X12)
| ~ increasing(inverse_function(X8,X9,X10),X10,X12,X9,X11) )
& ( isomorphism(X8,X9,X11,X10,X12)
| ( increasing(X8,X9,X11,X10,X12)
& increasing(inverse_function(X8,X9,X10),X10,X12,X9,X11) ) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,negated_conjecture,
( maps(esk19_0,esk20_0,esk21_0)
& one_to_one(esk19_0,esk20_0,esk21_0)
& ( ~ isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0) )
& ( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ( increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
& increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0) ) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,negated_conjecture,
( maps(esk19_0,esk20_0,esk21_0)
& one_to_one(esk19_0,esk20_0,esk21_0)
& ( ~ isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0) )
& ( increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) )
& ( increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) ) ),
inference(distribute,[status(thm)],[95]) ).
cnf(97,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(98,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(99,negated_conjecture,
( ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| ~ increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,negated_conjecture,
one_to_one(esk19_0,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(101,negated_conjecture,
maps(esk19_0,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(114,plain,
( apply(X1,esk8_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),esk7_5(inverse_function(X1,X2,X3),X4,X5,X6,X7))
| increasing(inverse_function(X1,X2,X3),X4,X5,X6,X7)
| ~ member(esk8_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X2)
| ~ member(esk7_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X3) ),
inference(spm,[status(thm)],[91,43,theory(equality)]) ).
cnf(115,plain,
( apply(X1,esk10_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),esk9_5(inverse_function(X1,X2,X3),X4,X5,X6,X7))
| increasing(inverse_function(X1,X2,X3),X4,X5,X6,X7)
| ~ member(esk10_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X2)
| ~ member(esk9_5(inverse_function(X1,X2,X3),X4,X5,X6,X7),X3) ),
inference(spm,[status(thm)],[91,42,theory(equality)]) ).
cnf(120,negated_conjecture,
( X1 = X2
| ~ apply(esk19_0,X3,X2)
| ~ apply(esk19_0,X3,X1)
| ~ member(X3,esk20_0)
| ~ member(X2,esk21_0)
| ~ member(X1,esk21_0) ),
inference(spm,[status(thm)],[63,101,theory(equality)]) ).
cnf(133,negated_conjecture,
( apply(esk23_0,X1,X2)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ apply(esk22_0,X3,X4)
| ~ apply(esk19_0,X3,X1)
| ~ apply(esk19_0,X4,X2)
| ~ member(X3,esk20_0)
| ~ member(X4,esk20_0)
| ~ member(X2,esk21_0)
| ~ member(X1,esk21_0) ),
inference(spm,[status(thm)],[49,98,theory(equality)]) ).
cnf(134,negated_conjecture,
( apply(esk22_0,X1,X2)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ apply(esk23_0,X3,X4)
| ~ apply(inverse_function(esk19_0,esk20_0,esk21_0),X3,X1)
| ~ apply(inverse_function(esk19_0,esk20_0,esk21_0),X4,X2)
| ~ member(X3,esk21_0)
| ~ member(X4,esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[49,97,theory(equality)]) ).
cnf(135,negated_conjecture,
( isomorphism(esk19_0,esk20_0,X1,esk21_0,X2)
| apply(X1,esk3_5(esk19_0,esk20_0,X1,esk21_0,X2),esk5_5(esk19_0,esk20_0,X1,esk21_0,X2))
| apply(X2,esk4_5(esk19_0,esk20_0,X1,esk21_0,X2),esk6_5(esk19_0,esk20_0,X1,esk21_0,X2))
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[24,100,theory(equality)]) ).
cnf(136,negated_conjecture,
( isomorphism(esk19_0,esk20_0,X1,esk21_0,X2)
| apply(X1,esk3_5(esk19_0,esk20_0,X1,esk21_0,X2),esk5_5(esk19_0,esk20_0,X1,esk21_0,X2))
| apply(X2,esk4_5(esk19_0,esk20_0,X1,esk21_0,X2),esk6_5(esk19_0,esk20_0,X1,esk21_0,X2))
| $false ),
inference(rw,[status(thm)],[135,101,theory(equality)]) ).
cnf(137,negated_conjecture,
( isomorphism(esk19_0,esk20_0,X1,esk21_0,X2)
| apply(X1,esk3_5(esk19_0,esk20_0,X1,esk21_0,X2),esk5_5(esk19_0,esk20_0,X1,esk21_0,X2))
| apply(X2,esk4_5(esk19_0,esk20_0,X1,esk21_0,X2),esk6_5(esk19_0,esk20_0,X1,esk21_0,X2)) ),
inference(cn,[status(thm)],[136,theory(equality)]) ).
cnf(140,negated_conjecture,
( X1 = esk11_4(esk19_0,X2,X3,X4)
| ~ apply(esk19_0,X4,X1)
| ~ member(X4,esk20_0)
| ~ member(esk11_4(esk19_0,X2,X3,X4),esk21_0)
| ~ member(X1,esk21_0)
| ~ maps(esk19_0,X2,X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[120,61,theory(equality)]) ).
cnf(213,negated_conjecture,
( X1 = esk11_4(esk19_0,X2,esk21_0,X3)
| ~ maps(esk19_0,X2,esk21_0)
| ~ apply(esk19_0,X3,X1)
| ~ member(X3,esk20_0)
| ~ member(X1,esk21_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[140,62,theory(equality)]) ).
cnf(337,negated_conjecture,
( apply(esk23_0,X1,X2)
| ~ apply(esk22_0,X3,X4)
| ~ apply(esk19_0,X3,X1)
| ~ apply(esk19_0,X4,X2)
| ~ member(X3,esk20_0)
| ~ member(X4,esk20_0)
| ~ member(X2,esk21_0)
| ~ member(X1,esk21_0) ),
inference(csr,[status(thm)],[133,35]) ).
cnf(343,negated_conjecture,
( apply(esk23_0,X1,X2)
| increasing(X3,X4,esk22_0,X5,X6)
| ~ apply(esk19_0,esk7_5(X3,X4,esk22_0,X5,X6),X1)
| ~ apply(esk19_0,esk9_5(X3,X4,esk22_0,X5,X6),X2)
| ~ member(esk7_5(X3,X4,esk22_0,X5,X6),esk20_0)
| ~ member(esk9_5(X3,X4,esk22_0,X5,X6),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(X1,esk21_0) ),
inference(spm,[status(thm)],[337,44,theory(equality)]) ).
cnf(350,negated_conjecture,
( apply(esk23_0,X1,X2)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X3)
| apply(X3,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X3),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X3))
| ~ apply(esk19_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X3),X1)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X3),X2)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X3),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X3),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(X1,esk21_0) ),
inference(spm,[status(thm)],[337,137,theory(equality)]) ).
cnf(371,negated_conjecture,
( esk7_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6) = esk11_4(esk19_0,X7,esk21_0,esk8_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6))
| increasing(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6)
| ~ maps(esk19_0,X7,esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),esk20_0)
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X7)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X1)
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X2) ),
inference(spm,[status(thm)],[213,114,theory(equality)]) ).
cnf(444,negated_conjecture,
( esk9_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6) = esk11_4(esk19_0,X7,esk21_0,esk10_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6))
| increasing(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6)
| ~ maps(esk19_0,X7,esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),esk20_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X7)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X1)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X3,X4,X5,X6),X2) ),
inference(spm,[status(thm)],[213,115,theory(equality)]) ).
cnf(474,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,X1,X2)
| ~ apply(inverse_function(esk19_0,esk20_0,esk21_0),X4,X2)
| ~ apply(esk23_0,X3,X4)
| ~ member(X3,esk21_0)
| ~ member(X4,esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ apply(esk19_0,X1,X3) ),
inference(spm,[status(thm)],[134,92,theory(equality)]) ).
cnf(496,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,X1,X2)
| ~ apply(esk23_0,X4,X3)
| ~ apply(esk19_0,X1,X4)
| ~ member(X4,esk21_0)
| ~ member(X3,esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ apply(esk19_0,X2,X3) ),
inference(spm,[status(thm)],[474,92,theory(equality)]) ).
cnf(517,negated_conjecture,
( apply(esk22_0,X1,X2)
| ~ apply(esk23_0,X4,X3)
| ~ apply(esk19_0,X1,X4)
| ~ apply(esk19_0,X2,X3)
| ~ member(X4,esk21_0)
| ~ member(X3,esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(csr,[status(thm)],[496,34]) ).
cnf(523,negated_conjecture,
( apply(esk22_0,X1,X2)
| increasing(X3,X4,esk23_0,X5,X6)
| ~ apply(esk19_0,X1,esk7_5(X3,X4,esk23_0,X5,X6))
| ~ apply(esk19_0,X2,esk9_5(X3,X4,esk23_0,X5,X6))
| ~ member(esk7_5(X3,X4,esk23_0,X5,X6),esk21_0)
| ~ member(esk9_5(X3,X4,esk23_0,X5,X6),esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[517,44,theory(equality)]) ).
cnf(3513,negated_conjecture,
( increasing(esk19_0,X1,esk22_0,X2,X3)
| apply(esk23_0,esk8_5(esk19_0,X1,esk22_0,X2,X3),X4)
| ~ apply(esk19_0,esk9_5(esk19_0,X1,esk22_0,X2,X3),X4)
| ~ member(esk7_5(esk19_0,X1,esk22_0,X2,X3),esk20_0)
| ~ member(esk9_5(esk19_0,X1,esk22_0,X2,X3),esk20_0)
| ~ member(X4,esk21_0)
| ~ member(esk8_5(esk19_0,X1,esk22_0,X2,X3),esk21_0) ),
inference(spm,[status(thm)],[343,43,theory(equality)]) ).
cnf(3517,negated_conjecture,
( increasing(esk19_0,X1,esk22_0,X2,esk23_0)
| ~ apply(esk19_0,esk9_5(esk19_0,X1,esk22_0,X2,esk23_0),esk10_5(esk19_0,X1,esk22_0,X2,esk23_0))
| ~ member(esk7_5(esk19_0,X1,esk22_0,X2,esk23_0),esk20_0)
| ~ member(esk9_5(esk19_0,X1,esk22_0,X2,esk23_0),esk20_0)
| ~ member(esk8_5(esk19_0,X1,esk22_0,X2,esk23_0),esk21_0)
| ~ member(esk10_5(esk19_0,X1,esk22_0,X2,esk23_0),esk21_0) ),
inference(spm,[status(thm)],[41,3513,theory(equality)]) ).
cnf(3536,negated_conjecture,
( increasing(esk19_0,X1,esk22_0,X2,esk23_0)
| ~ member(esk7_5(esk19_0,X1,esk22_0,X2,esk23_0),esk20_0)
| ~ member(esk9_5(esk19_0,X1,esk22_0,X2,esk23_0),esk20_0)
| ~ member(esk8_5(esk19_0,X1,esk22_0,X2,esk23_0),esk21_0)
| ~ member(esk10_5(esk19_0,X1,esk22_0,X2,esk23_0),esk21_0) ),
inference(csr,[status(thm)],[3517,42]) ).
cnf(3537,negated_conjecture,
( increasing(esk19_0,X1,esk22_0,esk21_0,esk23_0)
| ~ member(esk7_5(esk19_0,X1,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk9_5(esk19_0,X1,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk8_5(esk19_0,X1,esk22_0,esk21_0,esk23_0),esk21_0) ),
inference(spm,[status(thm)],[3536,45,theory(equality)]) ).
cnf(3538,negated_conjecture,
( increasing(esk19_0,X1,esk22_0,esk21_0,esk23_0)
| ~ member(esk7_5(esk19_0,X1,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk9_5(esk19_0,X1,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(csr,[status(thm)],[3537,47]) ).
cnf(3539,negated_conjecture,
( increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk7_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(spm,[status(thm)],[3538,46,theory(equality)]) ).
cnf(3540,negated_conjecture,
increasing(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),
inference(csr,[status(thm)],[3539,48]) ).
cnf(3542,negated_conjecture,
( ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| $false
| ~ isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) ),
inference(rw,[status(thm)],[99,3540,theory(equality)]) ).
cnf(3543,negated_conjecture,
( ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| ~ isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0) ),
inference(cn,[status(thm)],[3542,theory(equality)]) ).
cnf(3994,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[350,27,theory(equality)]) ).
cnf(3997,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[3994,100,theory(equality)]) ).
cnf(3998,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[3997,101,theory(equality)]) ).
cnf(3999,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),X2)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(X2,esk21_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0) ),
inference(cn,[status(thm)],[3998,theory(equality)]) ).
cnf(4844,negated_conjecture,
( esk11_4(esk19_0,X1,esk21_0,esk8_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)) = esk7_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)
| increasing(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),esk20_0)
| ~ member(esk7_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),X1)
| ~ member(esk7_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),X3) ),
inference(spm,[status(thm)],[371,47,theory(equality)]) ).
cnf(5163,negated_conjecture,
( esk11_4(esk19_0,X1,esk21_0,esk10_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)) = esk9_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)
| increasing(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6)
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),esk20_0)
| ~ member(esk9_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),X1)
| ~ member(esk9_5(inverse_function(esk19_0,X2,X3),X4,X5,X2,X6),X3) ),
inference(spm,[status(thm)],[444,45,theory(equality)]) ).
cnf(9452,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[3999,26,theory(equality)]) ).
cnf(9455,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[9452,100,theory(equality)]) ).
cnf(9456,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[9455,101,theory(equality)]) ).
cnf(9457,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0) ),
inference(cn,[status(thm)],[9456,theory(equality)]) ).
cnf(13695,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[9457,31,theory(equality)]) ).
cnf(13696,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13695,100,theory(equality)]) ).
cnf(13697,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[13696,101,theory(equality)]) ).
cnf(13698,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk20_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0) ),
inference(cn,[status(thm)],[13697,theory(equality)]) ).
cnf(13699,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13698,29,theory(equality)]) ).
cnf(13700,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13699,100,theory(equality)]) ).
cnf(13701,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[13700,101,theory(equality)]) ).
cnf(13702,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0) ),
inference(cn,[status(thm)],[13701,theory(equality)]) ).
cnf(13703,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13702,30,theory(equality)]) ).
cnf(13704,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13703,100,theory(equality)]) ).
cnf(13705,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[13704,101,theory(equality)]) ).
cnf(13706,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk21_0) ),
inference(cn,[status(thm)],[13705,theory(equality)]) ).
cnf(13715,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13706,28,theory(equality)]) ).
cnf(13716,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13715,100,theory(equality)]) ).
cnf(13717,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| $false
| $false ),
inference(rw,[status(thm)],[13716,101,theory(equality)]) ).
cnf(13718,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,X1)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1))
| apply(X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,X1),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,X1)) ),
inference(cn,[status(thm)],[13717,theory(equality)]) ).
cnf(13719,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk23_0,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)) ),
inference(ef,[status(thm)],[13718,theory(equality)]) ).
cnf(13748,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0)
| ~ apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)) ),
inference(spm,[status(thm)],[25,13719,theory(equality)]) ).
cnf(13749,negated_conjecture,
( apply(esk22_0,X1,X2)
| isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ apply(esk19_0,X1,esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ apply(esk19_0,X2,esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[517,13719,theory(equality)]) ).
cnf(13759,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0)
| ~ apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)) ),
inference(rw,[status(thm)],[13748,100,theory(equality)]) ).
cnf(13760,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| $false
| $false
| ~ apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)) ),
inference(rw,[status(thm)],[13759,101,theory(equality)]) ).
cnf(13761,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)) ),
inference(cn,[status(thm)],[13760,theory(equality)]) ).
cnf(13778,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),X1)
| ~ apply(esk19_0,X1,esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(X1,esk20_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13749,27,theory(equality)]) ).
cnf(13782,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),X1)
| ~ apply(esk19_0,X1,esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(X1,esk20_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13778,100,theory(equality)]) ).
cnf(13783,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),X1)
| ~ apply(esk19_0,X1,esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(X1,esk20_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| $false ),
inference(rw,[status(thm)],[13782,101,theory(equality)]) ).
cnf(13784,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| apply(esk22_0,esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),X1)
| ~ apply(esk19_0,X1,esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(X1,esk20_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(cn,[status(thm)],[13783,theory(equality)]) ).
cnf(13800,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ apply(esk19_0,esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0))
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(spm,[status(thm)],[13761,13784,theory(equality)]) ).
cnf(13801,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13800,26,theory(equality)]) ).
cnf(13802,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13801,100,theory(equality)]) ).
cnf(13803,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| $false ),
inference(rw,[status(thm)],[13802,101,theory(equality)]) ).
cnf(13804,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk6_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(cn,[status(thm)],[13803,theory(equality)]) ).
cnf(13805,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13804,28,theory(equality)]) ).
cnf(13806,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13805,100,theory(equality)]) ).
cnf(13807,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| $false ),
inference(rw,[status(thm)],[13806,101,theory(equality)]) ).
cnf(13808,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ member(esk5_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(cn,[status(thm)],[13807,theory(equality)]) ).
cnf(13809,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13808,29,theory(equality)]) ).
cnf(13810,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13809,100,theory(equality)]) ).
cnf(13811,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| $false ),
inference(rw,[status(thm)],[13810,101,theory(equality)]) ).
cnf(13812,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk4_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk21_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(cn,[status(thm)],[13811,theory(equality)]) ).
cnf(13813,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13812,30,theory(equality)]) ).
cnf(13814,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13813,100,theory(equality)]) ).
cnf(13815,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0)
| $false
| $false ),
inference(rw,[status(thm)],[13814,101,theory(equality)]) ).
cnf(13816,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ member(esk3_5(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),esk20_0) ),
inference(cn,[status(thm)],[13815,theory(equality)]) ).
cnf(13817,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| ~ one_to_one(esk19_0,esk20_0,esk21_0)
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[13816,31,theory(equality)]) ).
cnf(13818,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| $false
| ~ maps(esk19_0,esk20_0,esk21_0) ),
inference(rw,[status(thm)],[13817,100,theory(equality)]) ).
cnf(13819,negated_conjecture,
( isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0)
| $false
| $false ),
inference(rw,[status(thm)],[13818,101,theory(equality)]) ).
cnf(13820,negated_conjecture,
isomorphism(esk19_0,esk20_0,esk22_0,esk21_0,esk23_0),
inference(cn,[status(thm)],[13819,theory(equality)]) ).
cnf(14030,negated_conjecture,
( ~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| $false ),
inference(rw,[status(thm)],[3543,13820,theory(equality)]) ).
cnf(14031,negated_conjecture,
~ increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0),
inference(cn,[status(thm)],[14030,theory(equality)]) ).
cnf(55490,negated_conjecture,
( esk11_4(esk19_0,X1,esk21_0,esk8_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)) = esk7_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)
| increasing(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),esk20_0)
| ~ member(esk7_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),X1) ),
inference(spm,[status(thm)],[4844,48,theory(equality)]) ).
cnf(58015,negated_conjecture,
( esk11_4(esk19_0,X1,esk21_0,esk10_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)) = esk9_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)
| increasing(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5)
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),esk20_0)
| ~ member(esk9_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X2,X3),X3,X4,X2,X5),X1) ),
inference(spm,[status(thm)],[5163,46,theory(equality)]) ).
cnf(59114,negated_conjecture,
( apply(esk19_0,esk8_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk7_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4))
| increasing(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4)
| ~ maps(esk19_0,X5,esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),X5)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk20_0)
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk21_0) ),
inference(spm,[status(thm)],[61,55490,theory(equality)]) ).
cnf(59245,negated_conjecture,
( apply(esk19_0,esk10_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk9_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4))
| increasing(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4)
| ~ maps(esk19_0,X5,esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),X5)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk20_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk21_0) ),
inference(spm,[status(thm)],[61,58015,theory(equality)]) ).
cnf(85160,negated_conjecture,
( increasing(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4)
| apply(esk19_0,esk8_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk7_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4))
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk20_0)
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk21_0) ),
inference(spm,[status(thm)],[59114,47,theory(equality)]) ).
cnf(85168,negated_conjecture,
( increasing(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3)
| apply(esk22_0,esk8_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3),X4)
| ~ apply(esk19_0,X4,esk9_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3))
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3),esk21_0)
| ~ member(X4,esk20_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,X3),esk20_0)
| ~ maps(esk19_0,X1,esk21_0) ),
inference(spm,[status(thm)],[523,85160,theory(equality)]) ).
cnf(85215,negated_conjecture,
( increasing(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0)
| ~ maps(esk19_0,X1,esk21_0)
| ~ apply(esk19_0,esk10_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk9_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0))
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk20_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk20_0) ),
inference(spm,[status(thm)],[41,85168,theory(equality)]) ).
cnf(85372,negated_conjecture,
( increasing(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4)
| apply(esk19_0,esk10_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk9_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4))
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk20_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X2,X3,X1,X4),esk21_0) ),
inference(spm,[status(thm)],[59245,45,theory(equality)]) ).
cnf(158873,negated_conjecture,
( increasing(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0)
| ~ maps(esk19_0,X1,esk21_0)
| ~ member(esk7_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk20_0)
| ~ member(esk10_5(inverse_function(esk19_0,X1,X2),X2,esk23_0,X1,esk22_0),esk20_0) ),
inference(csr,[status(thm)],[85215,85372]) ).
cnf(158874,negated_conjecture,
( increasing(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0)
| ~ maps(esk19_0,esk20_0,esk21_0)
| ~ member(esk7_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk20_0) ),
inference(spm,[status(thm)],[158873,45,theory(equality)]) ).
cnf(158875,negated_conjecture,
( increasing(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0)
| $false
| ~ member(esk7_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk20_0) ),
inference(rw,[status(thm)],[158874,101,theory(equality)]) ).
cnf(158876,negated_conjecture,
( increasing(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0)
| ~ member(esk7_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk8_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk20_0) ),
inference(cn,[status(thm)],[158875,theory(equality)]) ).
cnf(158877,negated_conjecture,
( increasing(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0)
| ~ member(esk7_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0)
| ~ member(esk9_5(inverse_function(esk19_0,esk20_0,X1),X1,esk23_0,esk20_0,esk22_0),esk21_0) ),
inference(csr,[status(thm)],[158876,47]) ).
cnf(158878,negated_conjecture,
( increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0)
| ~ member(esk7_5(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0),esk21_0) ),
inference(spm,[status(thm)],[158877,46,theory(equality)]) ).
cnf(158879,negated_conjecture,
~ member(esk7_5(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0),esk21_0),
inference(sr,[status(thm)],[158878,14031,theory(equality)]) ).
cnf(158880,negated_conjecture,
increasing(inverse_function(esk19_0,esk20_0,esk21_0),esk21_0,esk23_0,esk20_0,esk22_0),
inference(spm,[status(thm)],[158879,48,theory(equality)]) ).
cnf(158881,negated_conjecture,
$false,
inference(sr,[status(thm)],[158880,14031,theory(equality)]) ).
cnf(158882,negated_conjecture,
$false,
158881,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET750+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpysQYtz/sel_SET750+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpysQYtz/sel_SET750+4.p_2 with time limit 81
% -prover status Theorem
% Problem SET750+4.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET750+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET750+4.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
%
%------------------------------------------------------------------------------