%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET713+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% 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 03:16:19 EST 2010
% Result : Theorem 1.21s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 7 unt; 0 def)
% Number of atoms : 536 ( 36 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 735 ( 282 ~; 316 |; 123 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 325 ( 0 sgn 150 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( surjective(X1,X2,X3)
<=> ! [X4] :
( member(X4,X3)
=> ? [X5] :
( member(X5,X2)
& apply(X1,X5,X4) ) ) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',surjective) ).
fof(2,axiom,
! [X1,X2,X3] :
( maps(X1,X2,X3)
<=> ( ! [X6] :
( member(X6,X2)
=> ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4) ) )
& ! [X6,X7,X8] :
( ( member(X6,X2)
& member(X7,X3)
& member(X8,X3) )
=> ( ( apply(X1,X6,X7)
& apply(X1,X6,X8) )
=> X7 = X8 ) ) ) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',maps) ).
fof(3,axiom,
! [X1,X2,X3,X6,X4] :
( ( member(X6,X2)
& member(X4,X3) )
=> ( apply(X1,X6,X4)
<=> apply(inverse_function(X1,X2,X3),X4,X6) ) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',inverse_function) ).
fof(4,axiom,
! [X1,X2,X3] :
( injective(X1,X2,X3)
<=> ! [X9,X10,X4] :
( ( member(X9,X2)
& member(X10,X2)
& member(X4,X3) )
=> ( ( apply(X1,X9,X4)
& apply(X1,X10,X4) )
=> X9 = X10 ) ) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',injective) ).
fof(5,axiom,
! [X1,X2,X3] :
( one_to_one(X1,X2,X3)
<=> ( injective(X1,X2,X3)
& surjective(X1,X2,X3) ) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',one_to_one) ).
fof(6,conjecture,
! [X1,X2,X3] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3) )
=> one_to_one(inverse_function(X1,X2,X3),X3,X2) ),
file('/tmp/tmpRl_Smr/sel_SET713+4.p_1',thII04) ).
fof(7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3) )
=> one_to_one(inverse_function(X1,X2,X3),X3,X2) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(8,plain,
! [X1,X2,X3] :
( ( ~ surjective(X1,X2,X3)
| ! [X4] :
( ~ member(X4,X3)
| ? [X5] :
( member(X5,X2)
& apply(X1,X5,X4) ) ) )
& ( ? [X4] :
( member(X4,X3)
& ! [X5] :
( ~ member(X5,X2)
| ~ apply(X1,X5,X4) ) )
| surjective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(9,plain,
! [X6,X7,X8] :
( ( ~ surjective(X6,X7,X8)
| ! [X9] :
( ~ member(X9,X8)
| ? [X10] :
( member(X10,X7)
& apply(X6,X10,X9) ) ) )
& ( ? [X11] :
( member(X11,X8)
& ! [X12] :
( ~ member(X12,X7)
| ~ apply(X6,X12,X11) ) )
| surjective(X6,X7,X8) ) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(10,plain,
! [X6,X7,X8] :
( ( ~ surjective(X6,X7,X8)
| ! [X9] :
( ~ member(X9,X8)
| ( member(esk1_4(X6,X7,X8,X9),X7)
& apply(X6,esk1_4(X6,X7,X8,X9),X9) ) ) )
& ( ( member(esk2_3(X6,X7,X8),X8)
& ! [X12] :
( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8)) ) )
| surjective(X6,X7,X8) ) ),
inference(skolemize,[status(esa)],[9]) ).
fof(11,plain,
! [X6,X7,X8,X9,X12] :
( ( ( ( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8)) )
& member(esk2_3(X6,X7,X8),X8) )
| surjective(X6,X7,X8) )
& ( ~ member(X9,X8)
| ( member(esk1_4(X6,X7,X8,X9),X7)
& apply(X6,esk1_4(X6,X7,X8,X9),X9) )
| ~ surjective(X6,X7,X8) ) ),
inference(shift_quantors,[status(thm)],[10]) ).
fof(12,plain,
! [X6,X7,X8,X9,X12] :
( ( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8))
| surjective(X6,X7,X8) )
& ( member(esk2_3(X6,X7,X8),X8)
| surjective(X6,X7,X8) )
& ( member(esk1_4(X6,X7,X8,X9),X7)
| ~ member(X9,X8)
| ~ surjective(X6,X7,X8) )
& ( apply(X6,esk1_4(X6,X7,X8,X9),X9)
| ~ member(X9,X8)
| ~ surjective(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[11]) ).
cnf(15,plain,
( surjective(X1,X2,X3)
| member(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(16,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk2_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(17,plain,
! [X1,X2,X3] :
( ( ~ maps(X1,X2,X3)
| ( ! [X6] :
( ~ member(X6,X2)
| ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4) ) )
& ! [X6,X7,X8] :
( ~ member(X6,X2)
| ~ member(X7,X3)
| ~ member(X8,X3)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X6,X8)
| X7 = X8 ) ) )
& ( ? [X6] :
( member(X6,X2)
& ! [X4] :
( ~ member(X4,X3)
| ~ apply(X1,X6,X4) ) )
| ? [X6,X7,X8] :
( member(X6,X2)
& member(X7,X3)
& member(X8,X3)
& apply(X1,X6,X7)
& apply(X1,X6,X8)
& X7 != X8 )
| maps(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(18,plain,
! [X9,X10,X11] :
( ( ~ maps(X9,X10,X11)
| ( ! [X12] :
( ~ member(X12,X10)
| ? [X13] :
( member(X13,X11)
& apply(X9,X12,X13) ) )
& ! [X14,X15,X16] :
( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16 ) ) )
& ( ? [X17] :
( member(X17,X10)
& ! [X18] :
( ~ member(X18,X11)
| ~ apply(X9,X17,X18) ) )
| ? [X19,X20,X21] :
( member(X19,X10)
& member(X20,X11)
& member(X21,X11)
& apply(X9,X19,X20)
& apply(X9,X19,X21)
& X20 != X21 )
| maps(X9,X10,X11) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X9,X10,X11] :
( ( ~ maps(X9,X10,X11)
| ( ! [X12] :
( ~ member(X12,X10)
| ( member(esk3_4(X9,X10,X11,X12),X11)
& apply(X9,X12,esk3_4(X9,X10,X11,X12)) ) )
& ! [X14,X15,X16] :
( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16 ) ) )
& ( ( member(esk4_3(X9,X10,X11),X10)
& ! [X18] :
( ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18) ) )
| ( member(esk5_3(X9,X10,X11),X10)
& member(esk6_3(X9,X10,X11),X11)
& member(esk7_3(X9,X10,X11),X11)
& apply(X9,esk5_3(X9,X10,X11),esk6_3(X9,X10,X11))
& apply(X9,esk5_3(X9,X10,X11),esk7_3(X9,X10,X11))
& esk6_3(X9,X10,X11) != esk7_3(X9,X10,X11) )
| maps(X9,X10,X11) ) ),
inference(skolemize,[status(esa)],[18]) ).
fof(20,plain,
! [X9,X10,X11,X12,X14,X15,X16,X18] :
( ( ( ( ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18) )
& member(esk4_3(X9,X10,X11),X10) )
| ( member(esk5_3(X9,X10,X11),X10)
& member(esk6_3(X9,X10,X11),X11)
& member(esk7_3(X9,X10,X11),X11)
& apply(X9,esk5_3(X9,X10,X11),esk6_3(X9,X10,X11))
& apply(X9,esk5_3(X9,X10,X11),esk7_3(X9,X10,X11))
& esk6_3(X9,X10,X11) != esk7_3(X9,X10,X11) )
| maps(X9,X10,X11) )
& ( ( ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16 )
& ( ~ member(X12,X10)
| ( member(esk3_4(X9,X10,X11,X12),X11)
& apply(X9,X12,esk3_4(X9,X10,X11,X12)) ) ) )
| ~ maps(X9,X10,X11) ) ),
inference(shift_quantors,[status(thm)],[19]) ).
fof(21,plain,
! [X9,X10,X11,X12,X14,X15,X16,X18] :
( ( member(esk5_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk6_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk7_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk5_3(X9,X10,X11),esk6_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk5_3(X9,X10,X11),esk7_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk6_3(X9,X10,X11) != esk7_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk4_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk5_3(X9,X10,X11),X10)
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk6_3(X9,X10,X11),X11)
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk7_3(X9,X10,X11),X11)
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk5_3(X9,X10,X11),esk6_3(X9,X10,X11))
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk5_3(X9,X10,X11),esk7_3(X9,X10,X11))
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk6_3(X9,X10,X11) != esk7_3(X9,X10,X11)
| member(esk4_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16
| ~ maps(X9,X10,X11) )
& ( member(esk3_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk3_4(X9,X10,X11,X12))
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[20]) ).
cnf(22,plain,
( apply(X1,X4,esk3_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( member(esk3_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(24,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)],[21]) ).
fof(37,plain,
! [X1,X2,X3,X6,X4] :
( ~ member(X6,X2)
| ~ member(X4,X3)
| ( ( ~ apply(X1,X6,X4)
| apply(inverse_function(X1,X2,X3),X4,X6) )
& ( ~ apply(inverse_function(X1,X2,X3),X4,X6)
| apply(X1,X6,X4) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(38,plain,
! [X7,X8,X9,X10,X11] :
( ~ member(X10,X8)
| ~ member(X11,X9)
| ( ( ~ apply(X7,X10,X11)
| apply(inverse_function(X7,X8,X9),X11,X10) )
& ( ~ apply(inverse_function(X7,X8,X9),X11,X10)
| apply(X7,X10,X11) ) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ apply(X7,X10,X11)
| apply(inverse_function(X7,X8,X9),X11,X10)
| ~ member(X10,X8)
| ~ member(X11,X9) )
& ( ~ apply(inverse_function(X7,X8,X9),X11,X10)
| apply(X7,X10,X11)
| ~ member(X10,X8)
| ~ member(X11,X9) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(40,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(42,plain,
! [X1,X2,X3] :
( ( ~ injective(X1,X2,X3)
| ! [X9,X10,X4] :
( ~ member(X9,X2)
| ~ member(X10,X2)
| ~ member(X4,X3)
| ~ apply(X1,X9,X4)
| ~ apply(X1,X10,X4)
| X9 = X10 ) )
& ( ? [X9,X10,X4] :
( member(X9,X2)
& member(X10,X2)
& member(X4,X3)
& apply(X1,X9,X4)
& apply(X1,X10,X4)
& X9 != X10 )
| injective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(43,plain,
! [X11,X12,X13] :
( ( ~ injective(X11,X12,X13)
| ! [X14,X15,X16] :
( ~ member(X14,X12)
| ~ member(X15,X12)
| ~ member(X16,X13)
| ~ apply(X11,X14,X16)
| ~ apply(X11,X15,X16)
| X14 = X15 ) )
& ( ? [X17,X18,X19] :
( member(X17,X12)
& member(X18,X12)
& member(X19,X13)
& apply(X11,X17,X19)
& apply(X11,X18,X19)
& X17 != X18 )
| injective(X11,X12,X13) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X11,X12,X13] :
( ( ~ injective(X11,X12,X13)
| ! [X14,X15,X16] :
( ~ member(X14,X12)
| ~ member(X15,X12)
| ~ member(X16,X13)
| ~ apply(X11,X14,X16)
| ~ apply(X11,X15,X16)
| X14 = X15 ) )
& ( ( member(esk8_3(X11,X12,X13),X12)
& member(esk9_3(X11,X12,X13),X12)
& member(esk10_3(X11,X12,X13),X13)
& apply(X11,esk8_3(X11,X12,X13),esk10_3(X11,X12,X13))
& apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))
& esk8_3(X11,X12,X13) != esk9_3(X11,X12,X13) )
| injective(X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[43]) ).
fof(45,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ member(X14,X12)
| ~ member(X15,X12)
| ~ member(X16,X13)
| ~ apply(X11,X14,X16)
| ~ apply(X11,X15,X16)
| X14 = X15
| ~ injective(X11,X12,X13) )
& ( ( member(esk8_3(X11,X12,X13),X12)
& member(esk9_3(X11,X12,X13),X12)
& member(esk10_3(X11,X12,X13),X13)
& apply(X11,esk8_3(X11,X12,X13),esk10_3(X11,X12,X13))
& apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))
& esk8_3(X11,X12,X13) != esk9_3(X11,X12,X13) )
| injective(X11,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[44]) ).
fof(46,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ member(X14,X12)
| ~ member(X15,X12)
| ~ member(X16,X13)
| ~ apply(X11,X14,X16)
| ~ apply(X11,X15,X16)
| X14 = X15
| ~ injective(X11,X12,X13) )
& ( member(esk8_3(X11,X12,X13),X12)
| injective(X11,X12,X13) )
& ( member(esk9_3(X11,X12,X13),X12)
| injective(X11,X12,X13) )
& ( member(esk10_3(X11,X12,X13),X13)
| injective(X11,X12,X13) )
& ( apply(X11,esk8_3(X11,X12,X13),esk10_3(X11,X12,X13))
| injective(X11,X12,X13) )
& ( apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))
| injective(X11,X12,X13) )
& ( esk8_3(X11,X12,X13) != esk9_3(X11,X12,X13)
| injective(X11,X12,X13) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( injective(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk9_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,plain,
( injective(X1,X2,X3)
| apply(X1,esk9_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(49,plain,
( injective(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(50,plain,
( injective(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(51,plain,
( injective(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(52,plain,
( injective(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(54,plain,
! [X1,X2,X3] :
( ( ~ one_to_one(X1,X2,X3)
| ( injective(X1,X2,X3)
& surjective(X1,X2,X3) ) )
& ( ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| one_to_one(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(55,plain,
! [X4,X5,X6] :
( ( ~ one_to_one(X4,X5,X6)
| ( injective(X4,X5,X6)
& surjective(X4,X5,X6) ) )
& ( ~ injective(X4,X5,X6)
| ~ surjective(X4,X5,X6)
| one_to_one(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X4,X5,X6] :
( ( injective(X4,X5,X6)
| ~ one_to_one(X4,X5,X6) )
& ( surjective(X4,X5,X6)
| ~ one_to_one(X4,X5,X6) )
& ( ~ injective(X4,X5,X6)
| ~ surjective(X4,X5,X6)
| one_to_one(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(57,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(60,negated_conjecture,
? [X1,X2,X3] :
( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& ~ one_to_one(inverse_function(X1,X2,X3),X3,X2) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(61,negated_conjecture,
? [X4,X5,X6] :
( maps(X4,X5,X6)
& one_to_one(X4,X5,X6)
& ~ one_to_one(inverse_function(X4,X5,X6),X6,X5) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,negated_conjecture,
( maps(esk11_0,esk12_0,esk13_0)
& one_to_one(esk11_0,esk12_0,esk13_0)
& ~ one_to_one(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0) ),
inference(skolemize,[status(esa)],[61]) ).
cnf(63,negated_conjecture,
~ one_to_one(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(65,negated_conjecture,
maps(esk11_0,esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(68,negated_conjecture,
( ~ injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0)
| ~ surjective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0) ),
inference(spm,[status(thm)],[63,57,theory(equality)]) ).
cnf(71,plain,
( surjective(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X6,X4)
| ~ apply(X1,esk2_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(X6,X3) ),
inference(spm,[status(thm)],[16,41,theory(equality)]) ).
cnf(74,plain,
( apply(X1,esk10_3(inverse_function(X1,X2,X3),X4,X5),esk8_3(inverse_function(X1,X2,X3),X4,X5))
| injective(inverse_function(X1,X2,X3),X4,X5)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk8_3(inverse_function(X1,X2,X3),X4,X5),X3) ),
inference(spm,[status(thm)],[40,49,theory(equality)]) ).
cnf(75,plain,
( apply(X1,esk10_3(inverse_function(X1,X2,X3),X4,X5),esk9_3(inverse_function(X1,X2,X3),X4,X5))
| injective(inverse_function(X1,X2,X3),X4,X5)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk9_3(inverse_function(X1,X2,X3),X4,X5),X3) ),
inference(spm,[status(thm)],[40,48,theory(equality)]) ).
cnf(88,negated_conjecture,
( X1 = X2
| ~ apply(esk11_0,X3,X2)
| ~ apply(esk11_0,X3,X1)
| ~ member(X3,esk12_0)
| ~ member(X2,esk13_0)
| ~ member(X1,esk13_0) ),
inference(spm,[status(thm)],[24,65,theory(equality)]) ).
cnf(94,negated_conjecture,
( X1 = esk3_4(esk11_0,X2,X3,X4)
| ~ apply(esk11_0,X4,X1)
| ~ member(X4,esk12_0)
| ~ member(esk3_4(esk11_0,X2,X3,X4),esk13_0)
| ~ member(X1,esk13_0)
| ~ maps(esk11_0,X2,X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[88,22,theory(equality)]) ).
cnf(111,plain,
( surjective(inverse_function(X1,X2,X3),X4,X5)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk3_4(X1,X6,X7,esk2_3(inverse_function(X1,X2,X3),X4,X5)),X4)
| ~ member(esk3_4(X1,X6,X7,esk2_3(inverse_function(X1,X2,X3),X4,X5)),X3)
| ~ maps(X1,X6,X7)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X4,X5),X6) ),
inference(spm,[status(thm)],[71,22,theory(equality)]) ).
cnf(123,negated_conjecture,
( X1 = esk3_4(esk11_0,X2,esk13_0,X3)
| ~ maps(esk11_0,X2,esk13_0)
| ~ apply(esk11_0,X3,X1)
| ~ member(X3,esk12_0)
| ~ member(X1,esk13_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[94,23,theory(equality)]) ).
cnf(151,negated_conjecture,
( esk8_3(inverse_function(esk11_0,X1,X2),X3,X4) = esk3_4(esk11_0,X5,esk13_0,esk10_3(inverse_function(esk11_0,X1,X2),X3,X4))
| injective(inverse_function(esk11_0,X1,X2),X3,X4)
| ~ maps(esk11_0,X5,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X3,X4),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),X5)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),X1)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X3,X4),X2) ),
inference(spm,[status(thm)],[123,74,theory(equality)]) ).
cnf(199,negated_conjecture,
( esk9_3(inverse_function(esk11_0,X1,X2),X3,X4) = esk3_4(esk11_0,X5,esk13_0,esk10_3(inverse_function(esk11_0,X1,X2),X3,X4))
| injective(inverse_function(esk11_0,X1,X2),X3,X4)
| ~ maps(esk11_0,X5,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),esk12_0)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X3,X4),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),X5)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X3,X4),X1)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X3,X4),X2) ),
inference(spm,[status(thm)],[123,75,theory(equality)]) ).
cnf(570,plain,
( surjective(inverse_function(X1,X2,X3),X4,X5)
| ~ maps(X1,X6,X4)
| ~ member(esk3_4(X1,X6,X4,esk2_3(inverse_function(X1,X2,X3),X4,X5)),X3)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X4,X5),X6) ),
inference(spm,[status(thm)],[111,23,theory(equality)]) ).
cnf(655,plain,
( surjective(inverse_function(X1,X2,X3),X3,X4)
| ~ maps(X1,X5,X3)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X3,X4),X2)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X3,X4),X5) ),
inference(spm,[status(thm)],[570,23,theory(equality)]) ).
cnf(658,plain,
( surjective(inverse_function(X1,X2,X3),X3,X2)
| ~ maps(X1,X4,X3)
| ~ member(esk2_3(inverse_function(X1,X2,X3),X3,X2),X4) ),
inference(spm,[status(thm)],[655,15,theory(equality)]) ).
cnf(659,plain,
( surjective(inverse_function(X1,X2,X3),X3,X2)
| ~ maps(X1,X2,X3) ),
inference(spm,[status(thm)],[658,15,theory(equality)]) ).
cnf(660,negated_conjecture,
( ~ injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0)
| ~ maps(esk11_0,esk12_0,esk13_0) ),
inference(spm,[status(thm)],[68,659,theory(equality)]) ).
cnf(665,negated_conjecture,
( ~ injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[660,65,theory(equality)]) ).
cnf(666,negated_conjecture,
~ injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0),
inference(cn,[status(thm)],[665,theory(equality)]) ).
cnf(1057,negated_conjecture,
( esk3_4(esk11_0,X1,esk13_0,esk10_3(inverse_function(esk11_0,X2,X3),X4,X2)) = esk8_3(inverse_function(esk11_0,X2,X3),X4,X2)
| injective(inverse_function(esk11_0,X2,X3),X4,X2)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X4,X2),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X2,X3),X4,X2),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X4,X2),X1)
| ~ member(esk8_3(inverse_function(esk11_0,X2,X3),X4,X2),X3) ),
inference(spm,[status(thm)],[151,50,theory(equality)]) ).
cnf(1351,negated_conjecture,
( esk3_4(esk11_0,X1,esk13_0,esk10_3(inverse_function(esk11_0,X2,X3),X4,X2)) = esk9_3(inverse_function(esk11_0,X2,X3),X4,X2)
| injective(inverse_function(esk11_0,X2,X3),X4,X2)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X4,X2),esk12_0)
| ~ member(esk9_3(inverse_function(esk11_0,X2,X3),X4,X2),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X4,X2),X1)
| ~ member(esk9_3(inverse_function(esk11_0,X2,X3),X4,X2),X3) ),
inference(spm,[status(thm)],[199,50,theory(equality)]) ).
cnf(6378,negated_conjecture,
( esk3_4(esk11_0,X1,esk13_0,esk10_3(inverse_function(esk11_0,X2,X3),X3,X2)) = esk8_3(inverse_function(esk11_0,X2,X3),X3,X2)
| injective(inverse_function(esk11_0,X2,X3),X3,X2)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X2,X3),X3,X2),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),X1) ),
inference(spm,[status(thm)],[1057,52,theory(equality)]) ).
cnf(6380,negated_conjecture,
( apply(esk11_0,esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk8_3(inverse_function(esk11_0,X1,X2),X2,X1))
| injective(inverse_function(esk11_0,X1,X2),X2,X1)
| ~ maps(esk11_0,X3,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),X3)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(spm,[status(thm)],[22,6378,theory(equality)]) ).
cnf(6416,negated_conjecture,
( injective(inverse_function(esk11_0,X1,X2),X2,X1)
| apply(esk11_0,esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk8_3(inverse_function(esk11_0,X1,X2),X2,X1))
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(spm,[status(thm)],[6380,50,theory(equality)]) ).
cnf(6417,negated_conjecture,
( X1 = esk8_3(inverse_function(esk11_0,X2,X3),X3,X2)
| injective(inverse_function(esk11_0,X2,X3),X3,X2)
| ~ apply(esk11_0,esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),X1)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X2,X3),X3,X2),esk13_0)
| ~ member(X1,esk13_0)
| ~ maps(esk11_0,X2,esk13_0) ),
inference(spm,[status(thm)],[88,6416,theory(equality)]) ).
cnf(6503,negated_conjecture,
( esk3_4(esk11_0,X1,esk13_0,esk10_3(inverse_function(esk11_0,X2,X3),X3,X2)) = esk9_3(inverse_function(esk11_0,X2,X3),X3,X2)
| injective(inverse_function(esk11_0,X2,X3),X3,X2)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),esk12_0)
| ~ member(esk9_3(inverse_function(esk11_0,X2,X3),X3,X2),esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X2,X3),X3,X2),X1) ),
inference(spm,[status(thm)],[1351,51,theory(equality)]) ).
cnf(6505,negated_conjecture,
( apply(esk11_0,esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk9_3(inverse_function(esk11_0,X1,X2),X2,X1))
| injective(inverse_function(esk11_0,X1,X2),X2,X1)
| ~ maps(esk11_0,X3,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),X3)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(spm,[status(thm)],[22,6503,theory(equality)]) ).
cnf(6542,negated_conjecture,
( injective(inverse_function(esk11_0,X1,X2),X2,X1)
| apply(esk11_0,esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk9_3(inverse_function(esk11_0,X1,X2),X2,X1))
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(spm,[status(thm)],[6505,50,theory(equality)]) ).
cnf(6552,negated_conjecture,
( esk9_3(inverse_function(esk11_0,X1,X2),X2,X1) = esk8_3(inverse_function(esk11_0,X1,X2),X2,X1)
| injective(inverse_function(esk11_0,X1,X2),X2,X1)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(spm,[status(thm)],[6417,6542,theory(equality)]) ).
cnf(6562,negated_conjecture,
( injective(inverse_function(esk11_0,X1,X2),X2,X1)
| ~ maps(esk11_0,X1,esk13_0)
| ~ member(esk10_3(inverse_function(esk11_0,X1,X2),X2,X1),esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0)
| ~ member(esk9_3(inverse_function(esk11_0,X1,X2),X2,X1),esk13_0) ),
inference(csr,[status(thm)],[6552,47]) ).
cnf(6563,negated_conjecture,
( injective(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0)
| ~ maps(esk11_0,esk12_0,esk13_0)
| ~ member(esk8_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0)
| ~ member(esk9_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0) ),
inference(spm,[status(thm)],[6562,50,theory(equality)]) ).
cnf(6564,negated_conjecture,
( injective(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0)
| $false
| ~ member(esk8_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0)
| ~ member(esk9_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0) ),
inference(rw,[status(thm)],[6563,65,theory(equality)]) ).
cnf(6565,negated_conjecture,
( injective(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0)
| ~ member(esk9_3(inverse_function(esk11_0,esk12_0,X1),X1,esk12_0),esk13_0) ),
inference(cn,[status(thm)],[6564,theory(equality)]) ).
cnf(6566,negated_conjecture,
( injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0)
| ~ member(esk8_3(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0),esk13_0) ),
inference(spm,[status(thm)],[6565,51,theory(equality)]) ).
cnf(6567,negated_conjecture,
~ member(esk8_3(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0),esk13_0),
inference(sr,[status(thm)],[6566,666,theory(equality)]) ).
cnf(6568,negated_conjecture,
injective(inverse_function(esk11_0,esk12_0,esk13_0),esk13_0,esk12_0),
inference(spm,[status(thm)],[6567,52,theory(equality)]) ).
cnf(6569,negated_conjecture,
$false,
inference(sr,[status(thm)],[6568,666,theory(equality)]) ).
cnf(6570,negated_conjecture,
$false,
6569,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET713+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmpRl_Smr/sel_SET713+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET713+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET713+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET713+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
%
%------------------------------------------------------------------------------