%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET740+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 03:25:18 EST 2010
% Result : Theorem 263.58s
% Output : CNFRefutation 263.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 106 ( 13 unt; 0 def)
% Number of atoms : 764 ( 46 equ)
% Maximal formula atoms : 55 ( 7 avg)
% Number of connectives : 1118 ( 460 ~; 487 |; 157 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-7 aty)
% Number of variables : 482 ( 3 sgn 183 !; 37 ?)
% 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/tmprUQiNZ/sel_SET740+4.p_5',surjective) ).
fof(3,axiom,
! [X1,X2,X3] :
( one_to_one(X1,X2,X3)
<=> ( injective(X1,X2,X3)
& surjective(X1,X2,X3) ) ),
file('/tmp/tmprUQiNZ/sel_SET740+4.p_5',one_to_one) ).
fof(4,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/tmprUQiNZ/sel_SET740+4.p_5',maps) ).
fof(5,axiom,
! [X1,X2,X3] :
( injective(X1,X2,X3)
<=> ! [X8,X10,X4] :
( ( member(X8,X2)
& member(X10,X2)
& member(X4,X3) )
=> ( ( apply(X1,X8,X4)
& apply(X1,X10,X4) )
=> X8 = X10 ) ) ),
file('/tmp/tmprUQiNZ/sel_SET740+4.p_5',injective) ).
fof(6,axiom,
! [X13,X1,X2,X3,X14,X12,X15] :
( ( member(X12,X2)
& member(X15,X14) )
=> ( apply(compose_function(X13,X1,X2,X3,X14),X12,X15)
<=> ? [X4] :
( member(X4,X3)
& apply(X1,X12,X4)
& apply(X13,X4,X15) ) ) ),
file('/tmp/tmprUQiNZ/sel_SET740+4.p_5',compose_function) ).
fof(7,conjecture,
! [X1,X13,X16,X2,X3,X14] :
( ( maps(X1,X2,X3)
& maps(X13,X3,X14)
& maps(X16,X14,X2)
& injective(compose_function(X16,compose_function(X13,X1,X2,X3,X14),X2,X14,X2),X2,X2)
& surjective(compose_function(X1,compose_function(X16,X13,X3,X14,X2),X3,X2,X3),X3,X3)
& surjective(compose_function(X13,compose_function(X1,X16,X14,X2,X3),X14,X3,X14),X14,X14) )
=> one_to_one(X13,X3,X14) ),
file('/tmp/tmprUQiNZ/sel_SET740+4.p_5',thII31) ).
fof(8,negated_conjecture,
~ ! [X1,X13,X16,X2,X3,X14] :
( ( maps(X1,X2,X3)
& maps(X13,X3,X14)
& maps(X16,X14,X2)
& injective(compose_function(X16,compose_function(X13,X1,X2,X3,X14),X2,X14,X2),X2,X2)
& surjective(compose_function(X1,compose_function(X16,X13,X3,X14,X2),X3,X2,X3),X3,X3)
& surjective(compose_function(X13,compose_function(X1,X16,X14,X2,X3),X14,X3,X14),X14,X14) )
=> one_to_one(X13,X3,X14) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(9,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(10,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)],[9]) ).
fof(11,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)],[10]) ).
fof(12,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)],[11]) ).
fof(13,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)],[12]) ).
cnf(14,plain,
( apply(X1,esk1_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
( member(esk1_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(16,plain,
( surjective(X1,X2,X3)
| member(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(17,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk2_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(35,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)],[3]) ).
fof(36,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)],[35]) ).
fof(37,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)],[36]) ).
cnf(38,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(41,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)],[4]) ).
fof(42,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)],[41]) ).
fof(43,plain,
! [X13,X14,X15] :
( ( ~ maps(X13,X14,X15)
| ( ! [X16] :
( ~ member(X16,X14)
| ( member(esk7_4(X13,X14,X15,X16),X15)
& apply(X13,X16,esk7_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(esk8_3(X13,X14,X15),X14)
& ! [X22] :
( ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22) ) )
| ( member(esk9_3(X13,X14,X15),X14)
& member(esk10_3(X13,X14,X15),X15)
& member(esk11_3(X13,X14,X15),X15)
& apply(X13,esk9_3(X13,X14,X15),esk10_3(X13,X14,X15))
& apply(X13,esk9_3(X13,X14,X15),esk11_3(X13,X14,X15))
& esk10_3(X13,X14,X15) != esk11_3(X13,X14,X15) )
| maps(X13,X14,X15) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,plain,
! [X13,X14,X15,X16,X18,X19,X20,X22] :
( ( ( ( ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22) )
& member(esk8_3(X13,X14,X15),X14) )
| ( member(esk9_3(X13,X14,X15),X14)
& member(esk10_3(X13,X14,X15),X15)
& member(esk11_3(X13,X14,X15),X15)
& apply(X13,esk9_3(X13,X14,X15),esk10_3(X13,X14,X15))
& apply(X13,esk9_3(X13,X14,X15),esk11_3(X13,X14,X15))
& esk10_3(X13,X14,X15) != esk11_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(esk7_4(X13,X14,X15,X16),X15)
& apply(X13,X16,esk7_4(X13,X14,X15,X16)) ) ) )
| ~ maps(X13,X14,X15) ) ),
inference(shift_quantors,[status(thm)],[43]) ).
fof(45,plain,
! [X13,X14,X15,X16,X18,X19,X20,X22] :
( ( member(esk9_3(X13,X14,X15),X14)
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk10_3(X13,X14,X15),X15)
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk11_3(X13,X14,X15),X15)
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( apply(X13,esk9_3(X13,X14,X15),esk10_3(X13,X14,X15))
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( apply(X13,esk9_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( esk10_3(X13,X14,X15) != esk11_3(X13,X14,X15)
| ~ member(X22,X15)
| ~ apply(X13,esk8_3(X13,X14,X15),X22)
| maps(X13,X14,X15) )
& ( member(esk9_3(X13,X14,X15),X14)
| member(esk8_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( member(esk10_3(X13,X14,X15),X15)
| member(esk8_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( member(esk11_3(X13,X14,X15),X15)
| member(esk8_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( apply(X13,esk9_3(X13,X14,X15),esk10_3(X13,X14,X15))
| member(esk8_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( apply(X13,esk9_3(X13,X14,X15),esk11_3(X13,X14,X15))
| member(esk8_3(X13,X14,X15),X14)
| maps(X13,X14,X15) )
& ( esk10_3(X13,X14,X15) != esk11_3(X13,X14,X15)
| member(esk8_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(esk7_4(X13,X14,X15,X16),X15)
| ~ member(X16,X14)
| ~ maps(X13,X14,X15) )
& ( apply(X13,X16,esk7_4(X13,X14,X15,X16))
| ~ member(X16,X14)
| ~ maps(X13,X14,X15) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(46,plain,
( apply(X1,X4,esk7_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(47,plain,
( member(esk7_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(48,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)],[45]) ).
fof(61,plain,
! [X1,X2,X3] :
( ( ~ injective(X1,X2,X3)
| ! [X8,X10,X4] :
( ~ member(X8,X2)
| ~ member(X10,X2)
| ~ member(X4,X3)
| ~ apply(X1,X8,X4)
| ~ apply(X1,X10,X4)
| X8 = X10 ) )
& ( ? [X8,X10,X4] :
( member(X8,X2)
& member(X10,X2)
& member(X4,X3)
& apply(X1,X8,X4)
& apply(X1,X10,X4)
& X8 != X10 )
| injective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(62,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)],[61]) ).
fof(63,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(esk12_3(X11,X12,X13),X12)
& member(esk13_3(X11,X12,X13),X12)
& member(esk14_3(X11,X12,X13),X13)
& apply(X11,esk12_3(X11,X12,X13),esk14_3(X11,X12,X13))
& apply(X11,esk13_3(X11,X12,X13),esk14_3(X11,X12,X13))
& esk12_3(X11,X12,X13) != esk13_3(X11,X12,X13) )
| injective(X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[62]) ).
fof(64,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(esk12_3(X11,X12,X13),X12)
& member(esk13_3(X11,X12,X13),X12)
& member(esk14_3(X11,X12,X13),X13)
& apply(X11,esk12_3(X11,X12,X13),esk14_3(X11,X12,X13))
& apply(X11,esk13_3(X11,X12,X13),esk14_3(X11,X12,X13))
& esk12_3(X11,X12,X13) != esk13_3(X11,X12,X13) )
| injective(X11,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[63]) ).
fof(65,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(esk12_3(X11,X12,X13),X12)
| injective(X11,X12,X13) )
& ( member(esk13_3(X11,X12,X13),X12)
| injective(X11,X12,X13) )
& ( member(esk14_3(X11,X12,X13),X13)
| injective(X11,X12,X13) )
& ( apply(X11,esk12_3(X11,X12,X13),esk14_3(X11,X12,X13))
| injective(X11,X12,X13) )
& ( apply(X11,esk13_3(X11,X12,X13),esk14_3(X11,X12,X13))
| injective(X11,X12,X13) )
& ( esk12_3(X11,X12,X13) != esk13_3(X11,X12,X13)
| injective(X11,X12,X13) ) ),
inference(distribute,[status(thm)],[64]) ).
cnf(66,plain,
( injective(X1,X2,X3)
| esk12_3(X1,X2,X3) != esk13_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(67,plain,
( injective(X1,X2,X3)
| apply(X1,esk13_3(X1,X2,X3),esk14_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(68,plain,
( injective(X1,X2,X3)
| apply(X1,esk12_3(X1,X2,X3),esk14_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(69,plain,
( injective(X1,X2,X3)
| member(esk14_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(70,plain,
( injective(X1,X2,X3)
| member(esk13_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(71,plain,
( injective(X1,X2,X3)
| member(esk12_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(72,plain,
( X4 = X5
| ~ injective(X1,X2,X3)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X4,X6)
| ~ member(X6,X3)
| ~ member(X5,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(73,plain,
! [X13,X1,X2,X3,X14,X12,X15] :
( ~ member(X12,X2)
| ~ member(X15,X14)
| ( ( ~ apply(compose_function(X13,X1,X2,X3,X14),X12,X15)
| ? [X4] :
( member(X4,X3)
& apply(X1,X12,X4)
& apply(X13,X4,X15) ) )
& ( ! [X4] :
( ~ member(X4,X3)
| ~ apply(X1,X12,X4)
| ~ apply(X13,X4,X15) )
| apply(compose_function(X13,X1,X2,X3,X14),X12,X15) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(74,plain,
! [X16,X17,X18,X19,X20,X21,X22] :
( ~ member(X21,X18)
| ~ member(X22,X20)
| ( ( ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ? [X23] :
( member(X23,X19)
& apply(X17,X21,X23)
& apply(X16,X23,X22) ) )
& ( ! [X24] :
( ~ member(X24,X19)
| ~ apply(X17,X21,X24)
| ~ apply(X16,X24,X22) )
| apply(compose_function(X16,X17,X18,X19,X20),X21,X22) ) ) ),
inference(variable_rename,[status(thm)],[73]) ).
fof(75,plain,
! [X16,X17,X18,X19,X20,X21,X22] :
( ~ member(X21,X18)
| ~ member(X22,X20)
| ( ( ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ( member(esk15_7(X16,X17,X18,X19,X20,X21,X22),X19)
& apply(X17,X21,esk15_7(X16,X17,X18,X19,X20,X21,X22))
& apply(X16,esk15_7(X16,X17,X18,X19,X20,X21,X22),X22) ) )
& ( ! [X24] :
( ~ member(X24,X19)
| ~ apply(X17,X21,X24)
| ~ apply(X16,X24,X22) )
| apply(compose_function(X16,X17,X18,X19,X20),X21,X22) ) ) ),
inference(skolemize,[status(esa)],[74]) ).
fof(76,plain,
! [X16,X17,X18,X19,X20,X21,X22,X24] :
( ( ( ~ member(X24,X19)
| ~ apply(X17,X21,X24)
| ~ apply(X16,X24,X22)
| apply(compose_function(X16,X17,X18,X19,X20),X21,X22) )
& ( ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ( member(esk15_7(X16,X17,X18,X19,X20,X21,X22),X19)
& apply(X17,X21,esk15_7(X16,X17,X18,X19,X20,X21,X22))
& apply(X16,esk15_7(X16,X17,X18,X19,X20,X21,X22),X22) ) ) )
| ~ member(X21,X18)
| ~ member(X22,X20) ),
inference(shift_quantors,[status(thm)],[75]) ).
fof(77,plain,
! [X16,X17,X18,X19,X20,X21,X22,X24] :
( ( ~ member(X24,X19)
| ~ apply(X17,X21,X24)
| ~ apply(X16,X24,X22)
| apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ~ member(X21,X18)
| ~ member(X22,X20) )
& ( member(esk15_7(X16,X17,X18,X19,X20,X21,X22),X19)
| ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ~ member(X21,X18)
| ~ member(X22,X20) )
& ( apply(X17,X21,esk15_7(X16,X17,X18,X19,X20,X21,X22))
| ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ~ member(X21,X18)
| ~ member(X22,X20) )
& ( apply(X16,esk15_7(X16,X17,X18,X19,X20,X21,X22),X22)
| ~ apply(compose_function(X16,X17,X18,X19,X20),X21,X22)
| ~ member(X21,X18)
| ~ member(X22,X20) ) ),
inference(distribute,[status(thm)],[76]) ).
cnf(78,plain,
( apply(X5,esk15_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(80,plain,
( member(esk15_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(81,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(82,negated_conjecture,
? [X1,X13,X16,X2,X3,X14] :
( maps(X1,X2,X3)
& maps(X13,X3,X14)
& maps(X16,X14,X2)
& injective(compose_function(X16,compose_function(X13,X1,X2,X3,X14),X2,X14,X2),X2,X2)
& surjective(compose_function(X1,compose_function(X16,X13,X3,X14,X2),X3,X2,X3),X3,X3)
& surjective(compose_function(X13,compose_function(X1,X16,X14,X2,X3),X14,X3,X14),X14,X14)
& ~ one_to_one(X13,X3,X14) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(83,negated_conjecture,
? [X17,X18,X19,X20,X21,X22] :
( maps(X17,X20,X21)
& maps(X18,X21,X22)
& maps(X19,X22,X20)
& injective(compose_function(X19,compose_function(X18,X17,X20,X21,X22),X20,X22,X20),X20,X20)
& surjective(compose_function(X17,compose_function(X19,X18,X21,X22,X20),X21,X20,X21),X21,X21)
& surjective(compose_function(X18,compose_function(X17,X19,X22,X20,X21),X22,X21,X22),X22,X22)
& ~ one_to_one(X18,X21,X22) ),
inference(variable_rename,[status(thm)],[82]) ).
fof(84,negated_conjecture,
( maps(esk16_0,esk19_0,esk20_0)
& maps(esk17_0,esk20_0,esk21_0)
& maps(esk18_0,esk21_0,esk19_0)
& injective(compose_function(esk18_0,compose_function(esk17_0,esk16_0,esk19_0,esk20_0,esk21_0),esk19_0,esk21_0,esk19_0),esk19_0,esk19_0)
& surjective(compose_function(esk16_0,compose_function(esk18_0,esk17_0,esk20_0,esk21_0,esk19_0),esk20_0,esk19_0,esk20_0),esk20_0,esk20_0)
& surjective(compose_function(esk17_0,compose_function(esk16_0,esk18_0,esk21_0,esk19_0,esk20_0),esk21_0,esk20_0,esk21_0),esk21_0,esk21_0)
& ~ one_to_one(esk17_0,esk20_0,esk21_0) ),
inference(skolemize,[status(esa)],[83]) ).
cnf(85,negated_conjecture,
~ one_to_one(esk17_0,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(86,negated_conjecture,
surjective(compose_function(esk17_0,compose_function(esk16_0,esk18_0,esk21_0,esk19_0,esk20_0),esk21_0,esk20_0,esk21_0),esk21_0,esk21_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(87,negated_conjecture,
surjective(compose_function(esk16_0,compose_function(esk18_0,esk17_0,esk20_0,esk21_0,esk19_0),esk20_0,esk19_0,esk20_0),esk20_0,esk20_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(88,negated_conjecture,
injective(compose_function(esk18_0,compose_function(esk17_0,esk16_0,esk19_0,esk20_0,esk21_0),esk19_0,esk21_0,esk19_0),esk19_0,esk19_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(89,negated_conjecture,
maps(esk18_0,esk21_0,esk19_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(90,negated_conjecture,
maps(esk17_0,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(91,negated_conjecture,
maps(esk16_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(98,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk18_0,compose_function(esk17_0,esk16_0,esk19_0,esk20_0,esk21_0),esk19_0,esk21_0,esk19_0),X2,X3)
| ~ apply(compose_function(esk18_0,compose_function(esk17_0,esk16_0,esk19_0,esk20_0,esk21_0),esk19_0,esk21_0,esk19_0),X1,X3)
| ~ member(X3,esk19_0)
| ~ member(X2,esk19_0)
| ~ member(X1,esk19_0) ),
inference(spm,[status(thm)],[72,88,theory(equality)]) ).
cnf(102,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,X3,X2)
| ~ apply(esk16_0,X3,X1)
| ~ member(X3,esk19_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[48,91,theory(equality)]) ).
cnf(110,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk1_4(X2,X6,X7,X8),X9)
| ~ apply(X1,X8,X9)
| ~ member(X8,X4)
| ~ member(esk1_4(X2,X6,X7,X8),X3)
| ~ member(X9,X5)
| ~ member(X8,X7)
| ~ surjective(X2,X6,X7) ),
inference(spm,[status(thm)],[81,14,theory(equality)]) ).
cnf(122,plain,
( surjective(X1,X2,X3)
| ~ member(esk15_7(X1,X4,X5,X6,X7,X8,esk2_3(X1,X2,X3)),X2)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk2_3(X1,X2,X3))
| ~ member(X8,X5)
| ~ member(esk2_3(X1,X2,X3),X7) ),
inference(spm,[status(thm)],[17,78,theory(equality)]) ).
cnf(127,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,esk1_4(esk16_0,X3,X4,X2),X1)
| ~ member(esk1_4(esk16_0,X3,X4,X2),esk19_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X2,X4)
| ~ surjective(esk16_0,X3,X4) ),
inference(spm,[status(thm)],[102,14,theory(equality)]) ).
cnf(385,plain,
( apply(compose_function(X1,compose_function(X2,X3,X4,X5,X6),X7,X8,X9),esk1_4(X3,X10,X11,X12),X13)
| ~ apply(X1,X14,X13)
| ~ member(X14,X8)
| ~ member(esk1_4(X3,X10,X11,X12),X7)
| ~ member(X13,X9)
| ~ apply(X2,X12,X14)
| ~ member(esk1_4(X3,X10,X11,X12),X4)
| ~ member(X12,X5)
| ~ member(X14,X6)
| ~ member(X12,X11)
| ~ surjective(X3,X10,X11) ),
inference(spm,[status(thm)],[81,110,theory(equality)]) ).
cnf(476,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk2_3(X1,X2,X3))
| ~ member(esk2_3(X1,X2,X3),X6)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[122,80,theory(equality)]) ).
cnf(477,plain,
( surjective(X1,X2,X3)
| ~ member(esk2_3(X1,X2,X3),X6)
| ~ member(esk1_4(compose_function(X1,X4,X5,X2,X6),X7,X8,esk2_3(X1,X2,X3)),X5)
| ~ member(esk2_3(X1,X2,X3),X8)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X7,X8) ),
inference(spm,[status(thm)],[476,14,theory(equality)]) ).
cnf(506,plain,
( surjective(X1,X2,X3)
| ~ member(esk2_3(X1,X2,X3),X6)
| ~ member(esk2_3(X1,X2,X3),X7)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X5,X7) ),
inference(spm,[status(thm)],[477,15,theory(equality)]) ).
cnf(507,negated_conjecture,
( surjective(esk16_0,esk19_0,X1)
| ~ member(esk2_3(esk16_0,esk19_0,X1),esk20_0) ),
inference(spm,[status(thm)],[506,87,theory(equality)]) ).
cnf(508,negated_conjecture,
( surjective(esk17_0,esk20_0,X1)
| ~ member(esk2_3(esk17_0,esk20_0,X1),esk21_0) ),
inference(spm,[status(thm)],[506,86,theory(equality)]) ).
cnf(510,negated_conjecture,
surjective(esk16_0,esk19_0,esk20_0),
inference(spm,[status(thm)],[507,16,theory(equality)]) ).
cnf(513,negated_conjecture,
surjective(esk17_0,esk20_0,esk21_0),
inference(spm,[status(thm)],[508,16,theory(equality)]) ).
cnf(518,negated_conjecture,
( one_to_one(esk17_0,esk20_0,esk21_0)
| ~ injective(esk17_0,esk20_0,esk21_0) ),
inference(spm,[status(thm)],[38,513,theory(equality)]) ).
cnf(519,negated_conjecture,
~ injective(esk17_0,esk20_0,esk21_0),
inference(sr,[status(thm)],[518,85,theory(equality)]) ).
cnf(3574,plain,
( apply(compose_function(X1,compose_function(X2,X3,X4,X5,X6),X7,X8,X9),esk1_4(X3,X10,X11,X12),esk7_4(X1,X13,X14,X15))
| ~ apply(X2,X12,X15)
| ~ member(esk1_4(X3,X10,X11,X12),X7)
| ~ member(esk1_4(X3,X10,X11,X12),X4)
| ~ member(X15,X8)
| ~ member(esk7_4(X1,X13,X14,X15),X9)
| ~ member(X12,X5)
| ~ member(X15,X6)
| ~ member(X12,X11)
| ~ surjective(X3,X10,X11)
| ~ maps(X1,X13,X14)
| ~ member(X15,X13) ),
inference(spm,[status(thm)],[385,46,theory(equality)]) ).
cnf(44167,negated_conjecture,
( X1 = esk1_4(esk16_0,X2,X3,X4)
| ~ apply(compose_function(esk18_0,compose_function(esk17_0,esk16_0,esk19_0,esk20_0,esk21_0),esk19_0,esk21_0,esk19_0),X1,esk7_4(esk18_0,X5,X6,X7))
| ~ member(esk7_4(esk18_0,X5,X6,X7),esk19_0)
| ~ member(esk1_4(esk16_0,X2,X3,X4),esk19_0)
| ~ member(X1,esk19_0)
| ~ maps(esk18_0,X5,X6)
| ~ apply(esk17_0,X4,X7)
| ~ member(X7,esk21_0)
| ~ member(X4,esk20_0)
| ~ member(X4,X3)
| ~ member(X7,X5)
| ~ surjective(esk16_0,X2,X3) ),
inference(spm,[status(thm)],[98,3574,theory(equality)]) ).
cnf(44296,negated_conjecture,
( esk1_4(esk16_0,X1,X2,X3) = esk1_4(esk16_0,X4,X5,X6)
| ~ maps(esk18_0,X7,X8)
| ~ apply(esk17_0,X6,X9)
| ~ member(esk7_4(esk18_0,X7,X8,X9),esk19_0)
| ~ member(esk1_4(esk16_0,X4,X5,X6),esk19_0)
| ~ member(esk1_4(esk16_0,X1,X2,X3),esk19_0)
| ~ member(X9,esk21_0)
| ~ member(X6,esk20_0)
| ~ member(X6,X5)
| ~ member(X9,X7)
| ~ surjective(esk16_0,X4,X5)
| ~ apply(esk17_0,X3,X9)
| ~ member(X3,esk20_0)
| ~ member(X3,X2)
| ~ surjective(esk16_0,X1,X2) ),
inference(spm,[status(thm)],[44167,3574,theory(equality)]) ).
cnf(93048,negated_conjecture,
( esk1_4(esk16_0,X1,X2,X3) = esk1_4(esk16_0,X4,X5,X6)
| ~ maps(esk18_0,X7,esk19_0)
| ~ apply(esk17_0,X6,X8)
| ~ apply(esk17_0,X3,X8)
| ~ member(esk1_4(esk16_0,X4,X5,X6),esk19_0)
| ~ member(esk1_4(esk16_0,X1,X2,X3),esk19_0)
| ~ member(X8,esk21_0)
| ~ member(X6,esk20_0)
| ~ member(X3,esk20_0)
| ~ member(X6,X5)
| ~ member(X8,X7)
| ~ member(X3,X2)
| ~ surjective(esk16_0,X4,X5)
| ~ surjective(esk16_0,X1,X2) ),
inference(spm,[status(thm)],[44296,47,theory(equality)]) ).
cnf(93076,negated_conjecture,
( esk1_4(esk16_0,X1,X2,X3) = esk1_4(esk16_0,esk19_0,X4,X5)
| ~ maps(esk18_0,X6,esk19_0)
| ~ apply(esk17_0,X5,X7)
| ~ apply(esk17_0,X3,X7)
| ~ member(esk1_4(esk16_0,X1,X2,X3),esk19_0)
| ~ member(X7,esk21_0)
| ~ member(X5,esk20_0)
| ~ member(X3,esk20_0)
| ~ member(X5,X4)
| ~ member(X7,X6)
| ~ member(X3,X2)
| ~ surjective(esk16_0,esk19_0,X4)
| ~ surjective(esk16_0,X1,X2) ),
inference(spm,[status(thm)],[93048,15,theory(equality)]) ).
cnf(93077,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X4)
| ~ maps(esk18_0,X5,esk19_0)
| ~ apply(esk17_0,X4,X6)
| ~ apply(esk17_0,X2,X6)
| ~ member(X6,esk21_0)
| ~ member(X4,esk20_0)
| ~ member(X2,esk20_0)
| ~ member(X4,X3)
| ~ member(X6,X5)
| ~ member(X2,X1)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93076,15,theory(equality)]) ).
cnf(93078,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X4)
| ~ apply(esk17_0,X4,X5)
| ~ apply(esk17_0,X2,X5)
| ~ member(X5,esk21_0)
| ~ member(X4,esk20_0)
| ~ member(X2,esk20_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93077,89,theory(equality)]) ).
cnf(93079,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,esk12_3(esk17_0,X4,X5))
| injective(esk17_0,X4,X5)
| ~ apply(esk17_0,X2,esk14_3(esk17_0,X4,X5))
| ~ member(esk14_3(esk17_0,X4,X5),esk21_0)
| ~ member(esk12_3(esk17_0,X4,X5),esk20_0)
| ~ member(X2,esk20_0)
| ~ member(esk12_3(esk17_0,X4,X5),X3)
| ~ member(X2,X1)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93078,68,theory(equality)]) ).
cnf(93081,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X4)
| ~ apply(esk17_0,X2,esk7_4(esk17_0,X5,X6,X4))
| ~ member(esk7_4(esk17_0,X5,X6,X4),esk21_0)
| ~ member(X4,esk20_0)
| ~ member(X2,esk20_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1)
| ~ maps(esk17_0,X5,X6)
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[93078,46,theory(equality)]) ).
cnf(93384,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X2)
| ~ maps(esk17_0,X4,X5)
| ~ member(esk7_4(esk17_0,X4,X5,X2),esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93081,46,theory(equality)]) ).
cnf(93440,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X2)
| ~ maps(esk17_0,X4,esk21_0)
| ~ member(X2,esk20_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93384,47,theory(equality)]) ).
cnf(93458,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,X2) = esk1_4(esk16_0,esk19_0,X3,X2)
| ~ member(X2,esk20_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93440,90,theory(equality)]) ).
cnf(93465,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,esk1_4(esk16_0,esk19_0,X4,X2),X1)
| ~ member(esk1_4(esk16_0,esk19_0,X4,X2),esk19_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X2,X3)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ member(X2,X4)
| ~ surjective(esk16_0,esk19_0,X4) ),
inference(spm,[status(thm)],[127,93458,theory(equality)]) ).
cnf(93849,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,esk1_4(esk16_0,esk19_0,X4,X2),X1)
| ~ member(esk1_4(esk16_0,esk19_0,X4,X2),esk19_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X2,X4)
| ~ member(X2,X3)
| ~ surjective(esk16_0,esk19_0,X4) ),
inference(csr,[status(thm)],[93465,127]) ).
cnf(93850,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,esk1_4(esk16_0,esk19_0,X4,X2),X1)
| ~ member(esk1_4(esk16_0,esk19_0,X4,X2),esk19_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X2,X4)
| ~ surjective(esk16_0,esk19_0,X4) ),
inference(csr,[status(thm)],[93849,127]) ).
cnf(93851,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,esk1_4(esk16_0,esk19_0,X4,X2),X1)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X2,X4)
| ~ surjective(esk16_0,esk19_0,X4) ),
inference(csr,[status(thm)],[93850,15]) ).
cnf(94251,negated_conjecture,
( esk1_4(esk16_0,esk19_0,X1,esk13_3(esk17_0,X2,X3)) = esk1_4(esk16_0,esk19_0,X4,esk12_3(esk17_0,X2,X3))
| injective(esk17_0,X2,X3)
| ~ member(esk14_3(esk17_0,X2,X3),esk21_0)
| ~ member(esk12_3(esk17_0,X2,X3),esk20_0)
| ~ member(esk12_3(esk17_0,X2,X3),X4)
| ~ member(esk13_3(esk17_0,X2,X3),esk20_0)
| ~ member(esk13_3(esk17_0,X2,X3),X1)
| ~ surjective(esk16_0,esk19_0,X4)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93079,67,theory(equality)]) ).
cnf(95049,negated_conjecture,
( apply(esk16_0,esk1_4(esk16_0,esk19_0,X4,esk12_3(esk17_0,X2,X3)),esk13_3(esk17_0,X2,X3))
| injective(esk17_0,X2,X3)
| ~ member(esk13_3(esk17_0,X2,X3),X1)
| ~ surjective(esk16_0,esk19_0,X1)
| ~ member(esk14_3(esk17_0,X2,X3),esk21_0)
| ~ member(esk12_3(esk17_0,X2,X3),esk20_0)
| ~ member(esk13_3(esk17_0,X2,X3),esk20_0)
| ~ member(esk12_3(esk17_0,X2,X3),X4)
| ~ surjective(esk16_0,esk19_0,X4) ),
inference(spm,[status(thm)],[14,94251,theory(equality)]) ).
cnf(95361,negated_conjecture,
( injective(esk17_0,X1,X2)
| apply(esk16_0,esk1_4(esk16_0,esk19_0,X3,esk12_3(esk17_0,X1,X2)),esk13_3(esk17_0,X1,X2))
| ~ member(esk14_3(esk17_0,X1,X2),esk21_0)
| ~ member(esk12_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk13_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk12_3(esk17_0,X1,X2),X3)
| ~ surjective(esk16_0,esk19_0,X1)
| ~ surjective(esk16_0,esk19_0,X3) ),
inference(spm,[status(thm)],[95049,70,theory(equality)]) ).
cnf(95374,negated_conjecture,
( esk13_3(esk17_0,X1,X2) = esk12_3(esk17_0,X1,X2)
| injective(esk17_0,X1,X2)
| ~ member(esk12_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk13_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk12_3(esk17_0,X1,X2),X3)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ member(esk14_3(esk17_0,X1,X2),esk21_0)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[93851,95361,theory(equality)]) ).
cnf(95380,negated_conjecture,
( injective(esk17_0,X1,X2)
| ~ member(esk12_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk13_3(esk17_0,X1,X2),esk20_0)
| ~ member(esk14_3(esk17_0,X1,X2),esk21_0)
| ~ member(esk12_3(esk17_0,X1,X2),X3)
| ~ surjective(esk16_0,esk19_0,X3)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(csr,[status(thm)],[95374,66]) ).
cnf(95381,negated_conjecture,
( injective(esk17_0,X1,esk21_0)
| ~ member(esk12_3(esk17_0,X1,esk21_0),esk20_0)
| ~ member(esk13_3(esk17_0,X1,esk21_0),esk20_0)
| ~ member(esk12_3(esk17_0,X1,esk21_0),X2)
| ~ surjective(esk16_0,esk19_0,X2)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[95380,69,theory(equality)]) ).
cnf(95382,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),esk20_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1)
| ~ surjective(esk16_0,esk19_0,esk20_0) ),
inference(spm,[status(thm)],[95381,70,theory(equality)]) ).
cnf(95383,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),esk20_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1)
| $false ),
inference(rw,[status(thm)],[95382,510,theory(equality)]) ).
cnf(95384,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),esk20_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(cn,[status(thm)],[95383,theory(equality)]) ).
cnf(95385,negated_conjecture,
( ~ member(esk12_3(esk17_0,esk20_0,esk21_0),esk20_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(sr,[status(thm)],[95384,519,theory(equality)]) ).
cnf(95386,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(spm,[status(thm)],[95385,71,theory(equality)]) ).
cnf(95387,negated_conjecture,
( ~ member(esk12_3(esk17_0,esk20_0,esk21_0),X1)
| ~ surjective(esk16_0,esk19_0,X1) ),
inference(sr,[status(thm)],[95386,519,theory(equality)]) ).
cnf(95388,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| ~ surjective(esk16_0,esk19_0,esk20_0) ),
inference(spm,[status(thm)],[95387,71,theory(equality)]) ).
cnf(95389,negated_conjecture,
( injective(esk17_0,esk20_0,esk21_0)
| $false ),
inference(rw,[status(thm)],[95388,510,theory(equality)]) ).
cnf(95390,negated_conjecture,
injective(esk17_0,esk20_0,esk21_0),
inference(cn,[status(thm)],[95389,theory(equality)]) ).
cnf(95391,negated_conjecture,
$false,
inference(sr,[status(thm)],[95390,519,theory(equality)]) ).
cnf(95392,negated_conjecture,
$false,
95391,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET740+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmprUQiNZ/sel_SET740+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmprUQiNZ/sel_SET740+4.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmprUQiNZ/sel_SET740+4.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmprUQiNZ/sel_SET740+4.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmprUQiNZ/sel_SET740+4.p_5 with time limit 55
% -prover status Theorem
% Problem SET740+4.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET740+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET740+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
%
%------------------------------------------------------------------------------