%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET743+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 03:27:33 EST 2010
% Result : Theorem 7.49s
% Output : CNFRefutation 7.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 6
% Syntax : Number of formulae : 159 ( 14 unt; 0 def)
% Number of atoms : 1098 ( 81 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 1668 ( 729 ~; 773 |; 152 &)
% ( 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 : 642 ( 6 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/tmp3Dzczm/sel_SET743+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/tmp3Dzczm/sel_SET743+4.p_1',maps) ).
fof(3,axiom,
! [X9,X1,X2,X3,X10,X6,X11] :
( ( member(X6,X2)
& member(X11,X10) )
=> ( apply(compose_function(X9,X1,X2,X3,X10),X6,X11)
<=> ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4)
& apply(X9,X4,X11) ) ) ),
file('/tmp/tmp3Dzczm/sel_SET743+4.p_1',compose_function) ).
fof(4,axiom,
! [X1,X2,X3] :
( injective(X1,X2,X3)
<=> ! [X12,X13,X4] :
( ( member(X12,X2)
& member(X13,X2)
& member(X4,X3) )
=> ( ( apply(X1,X12,X4)
& apply(X1,X13,X4) )
=> X12 = X13 ) ) ),
file('/tmp/tmp3Dzczm/sel_SET743+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/tmp3Dzczm/sel_SET743+4.p_1',one_to_one) ).
fof(6,conjecture,
! [X1,X9,X14,X2,X3,X10] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X10)
& maps(X14,X10,X2)
& one_to_one(compose_function(X9,X1,X2,X3,X10),X2,X10)
& one_to_one(compose_function(X14,X9,X3,X10,X2),X3,X2) )
=> one_to_one(X9,X3,X10) ),
file('/tmp/tmp3Dzczm/sel_SET743+4.p_1',thII34) ).
fof(7,negated_conjecture,
~ ! [X1,X9,X14,X2,X3,X10] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X10)
& maps(X14,X10,X2)
& one_to_one(compose_function(X9,X1,X2,X3,X10),X2,X10)
& one_to_one(compose_function(X14,X9,X3,X10,X2),X3,X2) )
=> one_to_one(X9,X3,X10) ),
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(13,plain,
( apply(X1,esk1_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
( member(esk1_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
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,
! [X9,X1,X2,X3,X10,X6,X11] :
( ~ member(X6,X2)
| ~ member(X11,X10)
| ( ( ~ apply(compose_function(X9,X1,X2,X3,X10),X6,X11)
| ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4)
& apply(X9,X4,X11) ) )
& ( ! [X4] :
( ~ member(X4,X3)
| ~ apply(X1,X6,X4)
| ~ apply(X9,X4,X11) )
| apply(compose_function(X9,X1,X2,X3,X10),X6,X11) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(38,plain,
! [X12,X13,X14,X15,X16,X17,X18] :
( ~ member(X17,X14)
| ~ member(X18,X16)
| ( ( ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ? [X19] :
( member(X19,X15)
& apply(X13,X17,X19)
& apply(X12,X19,X18) ) )
& ( ! [X20] :
( ~ member(X20,X15)
| ~ apply(X13,X17,X20)
| ~ apply(X12,X20,X18) )
| apply(compose_function(X12,X13,X14,X15,X16),X17,X18) ) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X12,X13,X14,X15,X16,X17,X18] :
( ~ member(X17,X14)
| ~ member(X18,X16)
| ( ( ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ( member(esk8_7(X12,X13,X14,X15,X16,X17,X18),X15)
& apply(X13,X17,esk8_7(X12,X13,X14,X15,X16,X17,X18))
& apply(X12,esk8_7(X12,X13,X14,X15,X16,X17,X18),X18) ) )
& ( ! [X20] :
( ~ member(X20,X15)
| ~ apply(X13,X17,X20)
| ~ apply(X12,X20,X18) )
| apply(compose_function(X12,X13,X14,X15,X16),X17,X18) ) ) ),
inference(skolemize,[status(esa)],[38]) ).
fof(40,plain,
! [X12,X13,X14,X15,X16,X17,X18,X20] :
( ( ( ~ member(X20,X15)
| ~ apply(X13,X17,X20)
| ~ apply(X12,X20,X18)
| apply(compose_function(X12,X13,X14,X15,X16),X17,X18) )
& ( ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ( member(esk8_7(X12,X13,X14,X15,X16,X17,X18),X15)
& apply(X13,X17,esk8_7(X12,X13,X14,X15,X16,X17,X18))
& apply(X12,esk8_7(X12,X13,X14,X15,X16,X17,X18),X18) ) ) )
| ~ member(X17,X14)
| ~ member(X18,X16) ),
inference(shift_quantors,[status(thm)],[39]) ).
fof(41,plain,
! [X12,X13,X14,X15,X16,X17,X18,X20] :
( ( ~ member(X20,X15)
| ~ apply(X13,X17,X20)
| ~ apply(X12,X20,X18)
| apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ~ member(X17,X14)
| ~ member(X18,X16) )
& ( member(esk8_7(X12,X13,X14,X15,X16,X17,X18),X15)
| ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ~ member(X17,X14)
| ~ member(X18,X16) )
& ( apply(X13,X17,esk8_7(X12,X13,X14,X15,X16,X17,X18))
| ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ~ member(X17,X14)
| ~ member(X18,X16) )
& ( apply(X12,esk8_7(X12,X13,X14,X15,X16,X17,X18),X18)
| ~ apply(compose_function(X12,X13,X14,X15,X16),X17,X18)
| ~ member(X17,X14)
| ~ member(X18,X16) ) ),
inference(distribute,[status(thm)],[40]) ).
cnf(42,plain,
( apply(X5,esk8_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)],[41]) ).
cnf(44,plain,
( member(esk8_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)],[41]) ).
cnf(45,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)],[41]) ).
fof(46,plain,
! [X1,X2,X3] :
( ( ~ injective(X1,X2,X3)
| ! [X12,X13,X4] :
( ~ member(X12,X2)
| ~ member(X13,X2)
| ~ member(X4,X3)
| ~ apply(X1,X12,X4)
| ~ apply(X1,X13,X4)
| X12 = X13 ) )
& ( ? [X12,X13,X4] :
( member(X12,X2)
& member(X13,X2)
& member(X4,X3)
& apply(X1,X12,X4)
& apply(X1,X13,X4)
& X12 != X13 )
| injective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(47,plain,
! [X14,X15,X16] :
( ( ~ injective(X14,X15,X16)
| ! [X17,X18,X19] :
( ~ member(X17,X15)
| ~ member(X18,X15)
| ~ member(X19,X16)
| ~ apply(X14,X17,X19)
| ~ apply(X14,X18,X19)
| X17 = X18 ) )
& ( ? [X20,X21,X22] :
( member(X20,X15)
& member(X21,X15)
& member(X22,X16)
& apply(X14,X20,X22)
& apply(X14,X21,X22)
& X20 != X21 )
| injective(X14,X15,X16) ) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,plain,
! [X14,X15,X16] :
( ( ~ injective(X14,X15,X16)
| ! [X17,X18,X19] :
( ~ member(X17,X15)
| ~ member(X18,X15)
| ~ member(X19,X16)
| ~ apply(X14,X17,X19)
| ~ apply(X14,X18,X19)
| X17 = X18 ) )
& ( ( member(esk9_3(X14,X15,X16),X15)
& member(esk10_3(X14,X15,X16),X15)
& member(esk11_3(X14,X15,X16),X16)
& apply(X14,esk9_3(X14,X15,X16),esk11_3(X14,X15,X16))
& apply(X14,esk10_3(X14,X15,X16),esk11_3(X14,X15,X16))
& esk9_3(X14,X15,X16) != esk10_3(X14,X15,X16) )
| injective(X14,X15,X16) ) ),
inference(skolemize,[status(esa)],[47]) ).
fof(49,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ~ member(X17,X15)
| ~ member(X18,X15)
| ~ member(X19,X16)
| ~ apply(X14,X17,X19)
| ~ apply(X14,X18,X19)
| X17 = X18
| ~ injective(X14,X15,X16) )
& ( ( member(esk9_3(X14,X15,X16),X15)
& member(esk10_3(X14,X15,X16),X15)
& member(esk11_3(X14,X15,X16),X16)
& apply(X14,esk9_3(X14,X15,X16),esk11_3(X14,X15,X16))
& apply(X14,esk10_3(X14,X15,X16),esk11_3(X14,X15,X16))
& esk9_3(X14,X15,X16) != esk10_3(X14,X15,X16) )
| injective(X14,X15,X16) ) ),
inference(shift_quantors,[status(thm)],[48]) ).
fof(50,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ~ member(X17,X15)
| ~ member(X18,X15)
| ~ member(X19,X16)
| ~ apply(X14,X17,X19)
| ~ apply(X14,X18,X19)
| X17 = X18
| ~ injective(X14,X15,X16) )
& ( member(esk9_3(X14,X15,X16),X15)
| injective(X14,X15,X16) )
& ( member(esk10_3(X14,X15,X16),X15)
| injective(X14,X15,X16) )
& ( member(esk11_3(X14,X15,X16),X16)
| injective(X14,X15,X16) )
& ( apply(X14,esk9_3(X14,X15,X16),esk11_3(X14,X15,X16))
| injective(X14,X15,X16) )
& ( apply(X14,esk10_3(X14,X15,X16),esk11_3(X14,X15,X16))
| injective(X14,X15,X16) )
& ( esk9_3(X14,X15,X16) != esk10_3(X14,X15,X16)
| injective(X14,X15,X16) ) ),
inference(distribute,[status(thm)],[49]) ).
cnf(51,plain,
( injective(X1,X2,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(52,plain,
( injective(X1,X2,X3)
| apply(X1,esk10_3(X1,X2,X3),esk11_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(53,plain,
( injective(X1,X2,X3)
| apply(X1,esk9_3(X1,X2,X3),esk11_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(54,plain,
( injective(X1,X2,X3)
| member(esk11_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(55,plain,
( injective(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(56,plain,
( injective(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(57,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)],[50]) ).
fof(58,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(59,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)],[58]) ).
fof(60,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)],[59]) ).
cnf(61,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(63,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(64,negated_conjecture,
? [X1,X9,X14,X2,X3,X10] :
( maps(X1,X2,X3)
& maps(X9,X3,X10)
& maps(X14,X10,X2)
& one_to_one(compose_function(X9,X1,X2,X3,X10),X2,X10)
& one_to_one(compose_function(X14,X9,X3,X10,X2),X3,X2)
& ~ one_to_one(X9,X3,X10) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(65,negated_conjecture,
? [X15,X16,X17,X18,X19,X20] :
( maps(X15,X18,X19)
& maps(X16,X19,X20)
& maps(X17,X20,X18)
& one_to_one(compose_function(X16,X15,X18,X19,X20),X18,X20)
& one_to_one(compose_function(X17,X16,X19,X20,X18),X19,X18)
& ~ one_to_one(X16,X19,X20) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( maps(esk12_0,esk15_0,esk16_0)
& maps(esk13_0,esk16_0,esk17_0)
& maps(esk14_0,esk17_0,esk15_0)
& one_to_one(compose_function(esk13_0,esk12_0,esk15_0,esk16_0,esk17_0),esk15_0,esk17_0)
& one_to_one(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,esk15_0)
& ~ one_to_one(esk13_0,esk16_0,esk17_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
~ one_to_one(esk13_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
one_to_one(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
one_to_one(compose_function(esk13_0,esk12_0,esk15_0,esk16_0,esk17_0),esk15_0,esk17_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
maps(esk14_0,esk17_0,esk15_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(71,negated_conjecture,
maps(esk13_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(74,negated_conjecture,
injective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,esk15_0),
inference(spm,[status(thm)],[63,68,theory(equality)]) ).
cnf(82,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,X3,X2)
| ~ apply(esk13_0,X3,X1)
| ~ member(X3,esk16_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0) ),
inference(spm,[status(thm)],[24,71,theory(equality)]) ).
cnf(83,negated_conjecture,
( X1 = X2
| ~ apply(esk14_0,X3,X2)
| ~ apply(esk14_0,X3,X1)
| ~ member(X3,esk17_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[24,70,theory(equality)]) ).
cnf(86,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ apply(X1,esk3_4(X2,X8,X9,X6),X7)
| ~ member(esk3_4(X2,X8,X9,X6),X4)
| ~ member(X6,X3)
| ~ member(X7,X5)
| ~ maps(X2,X8,X9)
| ~ member(X6,X8) ),
inference(spm,[status(thm)],[45,22,theory(equality)]) ).
cnf(89,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)],[45,13,theory(equality)]) ).
cnf(99,plain,
( surjective(X1,X2,X3)
| ~ member(esk8_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)],[16,42,theory(equality)]) ).
cnf(102,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X2,X3)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,X3)
| ~ member(X3,esk15_0)
| ~ member(X2,esk16_0)
| ~ member(X1,esk16_0) ),
inference(spm,[status(thm)],[57,74,theory(equality)]) ).
cnf(111,negated_conjecture,
( X1 = esk3_4(esk13_0,X2,X3,X4)
| ~ apply(esk13_0,X4,X1)
| ~ member(X4,esk16_0)
| ~ member(esk3_4(esk13_0,X2,X3,X4),esk17_0)
| ~ member(X1,esk17_0)
| ~ maps(esk13_0,X2,X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[82,22,theory(equality)]) ).
cnf(114,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,esk1_4(esk13_0,X3,X4,X2),X1)
| ~ member(esk1_4(esk13_0,X3,X4,X2),esk16_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X2,X4)
| ~ surjective(esk13_0,X3,X4) ),
inference(spm,[status(thm)],[82,13,theory(equality)]) ).
cnf(119,negated_conjecture,
( X1 = esk3_4(esk14_0,X2,X3,X4)
| ~ apply(esk14_0,X4,X1)
| ~ member(X4,esk17_0)
| ~ member(esk3_4(esk14_0,X2,X3,X4),esk15_0)
| ~ member(X1,esk15_0)
| ~ maps(esk14_0,X2,X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[83,22,theory(equality)]) ).
cnf(146,negated_conjecture,
( X1 = esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X2,X3,X4)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,X4)
| ~ member(X4,esk15_0)
| ~ member(esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X2,X3,X4),esk16_0)
| ~ member(X1,esk16_0)
| ~ member(X4,X3)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X2,X3) ),
inference(spm,[status(thm)],[102,13,theory(equality)]) ).
cnf(187,negated_conjecture,
( X1 = esk3_4(esk13_0,X2,esk17_0,X3)
| ~ maps(esk13_0,X2,esk17_0)
| ~ apply(esk13_0,X3,X1)
| ~ member(X3,esk16_0)
| ~ member(X1,esk17_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[111,23,theory(equality)]) ).
cnf(189,negated_conjecture,
( esk11_3(esk13_0,X1,X2) = esk3_4(esk13_0,X3,esk17_0,esk9_3(esk13_0,X1,X2))
| injective(esk13_0,X1,X2)
| ~ maps(esk13_0,X3,esk17_0)
| ~ member(esk9_3(esk13_0,X1,X2),esk16_0)
| ~ member(esk11_3(esk13_0,X1,X2),esk17_0)
| ~ member(esk9_3(esk13_0,X1,X2),X3) ),
inference(spm,[status(thm)],[187,53,theory(equality)]) ).
cnf(190,negated_conjecture,
( esk11_3(esk13_0,X1,X2) = esk3_4(esk13_0,X3,esk17_0,esk10_3(esk13_0,X1,X2))
| injective(esk13_0,X1,X2)
| ~ maps(esk13_0,X3,esk17_0)
| ~ member(esk10_3(esk13_0,X1,X2),esk16_0)
| ~ member(esk11_3(esk13_0,X1,X2),esk17_0)
| ~ member(esk10_3(esk13_0,X1,X2),X3) ),
inference(spm,[status(thm)],[187,52,theory(equality)]) ).
cnf(199,negated_conjecture,
( X1 = esk3_4(esk14_0,X2,esk15_0,X3)
| ~ maps(esk14_0,X2,esk15_0)
| ~ apply(esk14_0,X3,X1)
| ~ member(X3,esk17_0)
| ~ member(X1,esk15_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[119,23,theory(equality)]) ).
cnf(200,negated_conjecture,
( esk3_4(esk14_0,X1,X2,X3) = esk3_4(esk14_0,X4,esk15_0,X3)
| ~ maps(esk14_0,X4,esk15_0)
| ~ member(X3,esk17_0)
| ~ member(esk3_4(esk14_0,X1,X2,X3),esk15_0)
| ~ member(X3,X4)
| ~ maps(esk14_0,X1,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[199,22,theory(equality)]) ).
cnf(242,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,esk3_4(X1,X7,X8,esk3_4(X2,X9,X10,X6)))
| ~ maps(X2,X9,X10)
| ~ member(esk3_4(X2,X9,X10,X6),X4)
| ~ member(X6,X3)
| ~ member(esk3_4(X1,X7,X8,esk3_4(X2,X9,X10,X6)),X5)
| ~ member(X6,X9)
| ~ maps(X1,X7,X8)
| ~ member(esk3_4(X2,X9,X10,X6),X7) ),
inference(spm,[status(thm)],[86,22,theory(equality)]) ).
cnf(308,negated_conjecture,
( esk3_4(esk14_0,X1,esk15_0,X2) = esk3_4(esk14_0,X3,esk15_0,X2)
| ~ maps(esk14_0,X3,esk15_0)
| ~ maps(esk14_0,X1,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[200,23,theory(equality)]) ).
cnf(360,negated_conjecture,
( X1 = esk1_4(esk13_0,X2,X3,X4)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,X5)
| ~ member(X5,esk15_0)
| ~ member(esk1_4(esk13_0,X2,X3,X4),esk16_0)
| ~ member(X1,esk16_0)
| ~ apply(esk14_0,X4,X5)
| ~ member(X4,esk17_0)
| ~ member(X4,X3)
| ~ surjective(esk13_0,X2,X3) ),
inference(spm,[status(thm)],[102,89,theory(equality)]) ).
cnf(496,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)],[99,44,theory(equality)]) ).
cnf(497,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)],[496,13,theory(equality)]) ).
cnf(524,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)],[497,14,theory(equality)]) ).
cnf(525,plain,
( surjective(X1,X2,X3)
| ~ member(esk2_3(X1,X2,X3),X4)
| ~ member(esk2_3(X1,X2,X3),X5)
| ~ one_to_one(compose_function(X1,X6,X7,X2,X4),X7,X5) ),
inference(spm,[status(thm)],[524,62,theory(equality)]) ).
cnf(526,negated_conjecture,
( surjective(esk13_0,esk16_0,X1)
| ~ member(esk2_3(esk13_0,esk16_0,X1),esk17_0) ),
inference(spm,[status(thm)],[525,69,theory(equality)]) ).
cnf(527,negated_conjecture,
( surjective(esk14_0,esk17_0,X1)
| ~ member(esk2_3(esk14_0,esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[525,68,theory(equality)]) ).
cnf(528,negated_conjecture,
surjective(esk13_0,esk16_0,esk17_0),
inference(spm,[status(thm)],[526,15,theory(equality)]) ).
cnf(529,negated_conjecture,
( one_to_one(esk13_0,esk16_0,esk17_0)
| ~ injective(esk13_0,esk16_0,esk17_0) ),
inference(spm,[status(thm)],[61,528,theory(equality)]) ).
cnf(530,negated_conjecture,
~ injective(esk13_0,esk16_0,esk17_0),
inference(sr,[status(thm)],[529,67,theory(equality)]) ).
cnf(531,negated_conjecture,
surjective(esk14_0,esk17_0,esk15_0),
inference(spm,[status(thm)],[527,15,theory(equality)]) ).
cnf(710,negated_conjecture,
( esk1_4(esk13_0,X1,X2,X3) = esk1_4(esk13_0,X4,X5,X6)
| ~ apply(esk14_0,X6,X7)
| ~ member(esk1_4(esk13_0,X4,X5,X6),esk16_0)
| ~ member(X7,esk15_0)
| ~ member(esk1_4(esk13_0,X1,X2,X3),esk16_0)
| ~ member(X6,esk17_0)
| ~ member(X6,X5)
| ~ surjective(esk13_0,X4,X5)
| ~ apply(esk14_0,X3,X7)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ surjective(esk13_0,X1,X2) ),
inference(spm,[status(thm)],[360,89,theory(equality)]) ).
cnf(1172,negated_conjecture,
( X1 = esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X2,X3)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,X3)
| ~ member(X3,esk15_0)
| ~ member(X1,esk16_0)
| ~ member(X3,X2)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X2) ),
inference(spm,[status(thm)],[146,14,theory(equality)]) ).
cnf(1183,negated_conjecture,
( esk1_4(esk13_0,X1,X2,X3) = esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X4,X5)
| ~ member(X5,esk15_0)
| ~ member(esk1_4(esk13_0,X1,X2,X3),esk16_0)
| ~ member(X5,X4)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X4)
| ~ apply(esk14_0,X3,X5)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ surjective(esk13_0,X1,X2) ),
inference(spm,[status(thm)],[1172,89,theory(equality)]) ).
cnf(2400,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X3,X4)
| ~ apply(esk14_0,X2,X4)
| ~ member(X4,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[1183,14,theory(equality)]) ).
cnf(2404,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk1_4(esk14_0,X2,X3,X4)) = esk1_4(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X5,X4)
| ~ member(X4,esk15_0)
| ~ member(esk1_4(esk14_0,X2,X3,X4),esk17_0)
| ~ member(X4,X5)
| ~ member(esk1_4(esk14_0,X2,X3,X4),X1)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X5)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ member(X4,X3)
| ~ surjective(esk14_0,X2,X3) ),
inference(spm,[status(thm)],[2400,13,theory(equality)]) ).
cnf(3422,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X3,esk1_4(esk14_0,X4,X5,X2)),X2)
| ~ member(X2,X1)
| ~ surjective(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X1)
| ~ member(esk1_4(esk14_0,X4,X5,X2),esk17_0)
| ~ member(esk1_4(esk14_0,X4,X5,X2),X3)
| ~ member(X2,esk15_0)
| ~ member(X2,X5)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk14_0,X4,X5) ),
inference(spm,[status(thm)],[13,2404,theory(equality)]) ).
cnf(10183,negated_conjecture,
( esk1_4(esk13_0,X1,X2,X3) = esk1_4(esk13_0,esk16_0,X4,X5)
| ~ apply(esk14_0,X5,X6)
| ~ apply(esk14_0,X3,X6)
| ~ member(esk1_4(esk13_0,X1,X2,X3),esk16_0)
| ~ member(X6,esk15_0)
| ~ member(X5,esk17_0)
| ~ member(X3,esk17_0)
| ~ member(X5,X4)
| ~ member(X3,X2)
| ~ surjective(esk13_0,esk16_0,X4)
| ~ surjective(esk13_0,X1,X2) ),
inference(spm,[status(thm)],[710,14,theory(equality)]) ).
cnf(10189,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,X4)
| ~ apply(esk14_0,X4,X5)
| ~ apply(esk14_0,X2,X5)
| ~ member(X5,esk15_0)
| ~ member(X4,esk17_0)
| ~ member(X2,esk17_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10183,14,theory(equality)]) ).
cnf(10192,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,X4)
| ~ apply(esk14_0,X2,esk3_4(esk14_0,X5,X6,X4))
| ~ member(esk3_4(esk14_0,X5,X6,X4),esk15_0)
| ~ member(X4,esk17_0)
| ~ member(X2,esk17_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ maps(esk14_0,X5,X6)
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[10189,22,theory(equality)]) ).
cnf(10193,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,esk9_3(esk14_0,X4,X5))
| injective(esk14_0,X4,X5)
| ~ apply(esk14_0,X2,esk11_3(esk14_0,X4,X5))
| ~ member(esk11_3(esk14_0,X4,X5),esk15_0)
| ~ member(esk9_3(esk14_0,X4,X5),esk17_0)
| ~ member(X2,esk17_0)
| ~ member(esk9_3(esk14_0,X4,X5),X3)
| ~ member(X2,X1)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10189,53,theory(equality)]) ).
cnf(10244,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,X2)
| ~ maps(esk14_0,X4,X5)
| ~ member(esk3_4(esk14_0,X4,X5,X2),esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10192,22,theory(equality)]) ).
cnf(10261,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,X2)
| ~ maps(esk14_0,X4,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10244,23,theory(equality)]) ).
cnf(10271,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,X2) = esk1_4(esk13_0,esk16_0,X3,X2)
| ~ member(X2,esk17_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10261,70,theory(equality)]) ).
cnf(10278,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,esk1_4(esk13_0,esk16_0,X4,X2),X1)
| ~ member(esk1_4(esk13_0,esk16_0,X4,X2),esk16_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X2,X3)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ member(X2,X4)
| ~ surjective(esk13_0,esk16_0,X4) ),
inference(spm,[status(thm)],[114,10271,theory(equality)]) ).
cnf(10378,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,esk1_4(esk13_0,esk16_0,X4,X2),X1)
| ~ member(esk1_4(esk13_0,esk16_0,X4,X2),esk16_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X2,X4)
| ~ member(X2,X3)
| ~ surjective(esk13_0,esk16_0,X4) ),
inference(csr,[status(thm)],[10278,114]) ).
cnf(10379,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,esk1_4(esk13_0,esk16_0,X4,X2),X1)
| ~ member(esk1_4(esk13_0,esk16_0,X4,X2),esk16_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X2,X4)
| ~ surjective(esk13_0,esk16_0,X4) ),
inference(csr,[status(thm)],[10378,114]) ).
cnf(10380,negated_conjecture,
( X1 = X2
| ~ apply(esk13_0,esk1_4(esk13_0,esk16_0,X4,X2),X1)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X2,X4)
| ~ surjective(esk13_0,esk16_0,X4) ),
inference(csr,[status(thm)],[10379,14]) ).
cnf(15339,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk10_3(esk14_0,X2,X3)) = esk1_4(esk13_0,esk16_0,X4,esk9_3(esk14_0,X2,X3))
| injective(esk14_0,X2,X3)
| ~ member(esk11_3(esk14_0,X2,X3),esk15_0)
| ~ member(esk9_3(esk14_0,X2,X3),esk17_0)
| ~ member(esk9_3(esk14_0,X2,X3),X4)
| ~ member(esk10_3(esk14_0,X2,X3),esk17_0)
| ~ member(esk10_3(esk14_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X4)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10193,52,theory(equality)]) ).
cnf(15872,negated_conjecture,
( apply(esk13_0,esk1_4(esk13_0,esk16_0,X4,esk9_3(esk14_0,X2,X3)),esk10_3(esk14_0,X2,X3))
| injective(esk14_0,X2,X3)
| ~ member(esk10_3(esk14_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ member(esk11_3(esk14_0,X2,X3),esk15_0)
| ~ member(esk9_3(esk14_0,X2,X3),esk17_0)
| ~ member(esk10_3(esk14_0,X2,X3),esk17_0)
| ~ member(esk9_3(esk14_0,X2,X3),X4)
| ~ surjective(esk13_0,esk16_0,X4) ),
inference(spm,[status(thm)],[13,15339,theory(equality)]) ).
cnf(16145,negated_conjecture,
( injective(esk14_0,X1,X2)
| apply(esk13_0,esk1_4(esk13_0,esk16_0,X3,esk9_3(esk14_0,X1,X2)),esk10_3(esk14_0,X1,X2))
| ~ member(esk11_3(esk14_0,X1,X2),esk15_0)
| ~ member(esk9_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk10_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk9_3(esk14_0,X1,X2),X3)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk13_0,esk16_0,X3) ),
inference(spm,[status(thm)],[15872,55,theory(equality)]) ).
cnf(16159,negated_conjecture,
( esk10_3(esk14_0,X1,X2) = esk9_3(esk14_0,X1,X2)
| injective(esk14_0,X1,X2)
| ~ member(esk9_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk10_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk9_3(esk14_0,X1,X2),X3)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ member(esk11_3(esk14_0,X1,X2),esk15_0)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[10380,16145,theory(equality)]) ).
cnf(16162,negated_conjecture,
( injective(esk14_0,X1,X2)
| ~ member(esk9_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk10_3(esk14_0,X1,X2),esk17_0)
| ~ member(esk11_3(esk14_0,X1,X2),esk15_0)
| ~ member(esk9_3(esk14_0,X1,X2),X3)
| ~ surjective(esk13_0,esk16_0,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(csr,[status(thm)],[16159,51]) ).
cnf(16163,negated_conjecture,
( injective(esk14_0,X1,esk15_0)
| ~ member(esk9_3(esk14_0,X1,esk15_0),esk17_0)
| ~ member(esk10_3(esk14_0,X1,esk15_0),esk17_0)
| ~ member(esk9_3(esk14_0,X1,esk15_0),X2)
| ~ surjective(esk13_0,esk16_0,X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[16162,54,theory(equality)]) ).
cnf(16164,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),esk17_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),X1)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk13_0,esk16_0,esk17_0) ),
inference(spm,[status(thm)],[16163,55,theory(equality)]) ).
cnf(16165,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),esk17_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),X1)
| ~ surjective(esk13_0,esk16_0,X1)
| $false ),
inference(rw,[status(thm)],[16164,528,theory(equality)]) ).
cnf(16166,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),esk17_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),X1)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(cn,[status(thm)],[16165,theory(equality)]) ).
cnf(16167,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| ~ member(esk9_3(esk14_0,esk17_0,esk15_0),X1)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(csr,[status(thm)],[16166,56]) ).
cnf(16168,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| ~ surjective(esk13_0,esk16_0,esk17_0) ),
inference(spm,[status(thm)],[16167,56,theory(equality)]) ).
cnf(16169,negated_conjecture,
( injective(esk14_0,esk17_0,esk15_0)
| $false ),
inference(rw,[status(thm)],[16168,528,theory(equality)]) ).
cnf(16170,negated_conjecture,
injective(esk14_0,esk17_0,esk15_0),
inference(cn,[status(thm)],[16169,theory(equality)]) ).
cnf(16171,negated_conjecture,
( X1 = X2
| ~ apply(esk14_0,X2,X3)
| ~ apply(esk14_0,X1,X3)
| ~ member(X3,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X1,esk17_0) ),
inference(spm,[status(thm)],[57,16170,theory(equality)]) ).
cnf(16180,negated_conjecture,
( X1 = esk1_4(esk14_0,X2,X3,X4)
| ~ apply(esk14_0,X1,X4)
| ~ member(X4,esk15_0)
| ~ member(esk1_4(esk14_0,X2,X3,X4),esk17_0)
| ~ member(X1,esk17_0)
| ~ member(X4,X3)
| ~ surjective(esk14_0,X2,X3) ),
inference(spm,[status(thm)],[16171,13,theory(equality)]) ).
cnf(16312,negated_conjecture,
( X1 = esk1_4(esk14_0,esk17_0,X2,X3)
| ~ apply(esk14_0,X1,X3)
| ~ member(X3,esk15_0)
| ~ member(X1,esk17_0)
| ~ member(X3,X2)
| ~ surjective(esk14_0,esk17_0,X2) ),
inference(spm,[status(thm)],[16180,14,theory(equality)]) ).
cnf(16313,negated_conjecture,
( X1 = esk1_4(esk14_0,esk17_0,X2,esk3_4(esk14_0,X3,X4,X1))
| ~ member(esk3_4(esk14_0,X3,X4,X1),esk15_0)
| ~ member(X1,esk17_0)
| ~ member(esk3_4(esk14_0,X3,X4,X1),X2)
| ~ surjective(esk14_0,esk17_0,X2)
| ~ maps(esk14_0,X3,X4)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[16312,22,theory(equality)]) ).
cnf(16521,negated_conjecture,
( esk1_4(esk14_0,esk17_0,X1,esk3_4(esk14_0,X4,esk15_0,X3)) = X3
| ~ maps(esk14_0,X2,esk15_0)
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ surjective(esk14_0,esk17_0,X1)
| ~ maps(esk14_0,X4,esk15_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[16313,308,theory(equality)]) ).
cnf(16823,negated_conjecture,
( esk1_4(esk14_0,esk17_0,X1,esk3_4(esk14_0,X4,esk15_0,X3)) = X3
| ~ maps(esk14_0,X4,esk15_0)
| ~ maps(esk14_0,X2,esk15_0)
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk17_0)
| ~ member(X3,X4)
| ~ surjective(esk14_0,esk17_0,X1) ),
inference(csr,[status(thm)],[16521,16313]) ).
cnf(16824,negated_conjecture,
( esk1_4(esk14_0,esk17_0,X1,esk3_4(esk14_0,X4,esk15_0,X3)) = X3
| ~ maps(esk14_0,X4,esk15_0)
| ~ maps(esk14_0,X2,esk15_0)
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk17_0)
| ~ member(X3,X4)
| ~ surjective(esk14_0,esk17_0,X1) ),
inference(csr,[status(thm)],[16823,23]) ).
cnf(16825,negated_conjecture,
( esk1_4(esk14_0,esk17_0,X1,esk3_4(esk14_0,X2,esk15_0,X3)) = X3
| ~ maps(esk14_0,X2,esk15_0)
| ~ member(esk3_4(esk14_0,X2,esk15_0,X3),X1)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ surjective(esk14_0,esk17_0,X1) ),
inference(spm,[status(thm)],[16824,70,theory(equality)]) ).
cnf(28199,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,esk1_4(esk14_0,X2,X3,X4)),X4)
| ~ member(esk1_4(esk14_0,X2,X3,X4),esk17_0)
| ~ member(esk1_4(esk14_0,X2,X3,X4),X1)
| ~ member(X4,esk15_0)
| ~ member(X4,X5)
| ~ member(X4,X3)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk14_0,X2,X3)
| ~ one_to_one(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk16_0,X5) ),
inference(spm,[status(thm)],[3422,62,theory(equality)]) ).
cnf(28337,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,esk1_4(esk14_0,X2,X3,X4)),X4)
| ~ member(esk1_4(esk14_0,X2,X3,X4),esk17_0)
| ~ member(esk1_4(esk14_0,X2,X3,X4),X1)
| ~ member(X4,esk15_0)
| ~ member(X4,X3)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk14_0,X2,X3) ),
inference(spm,[status(thm)],[28199,68,theory(equality)]) ).
cnf(28392,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,X4),esk3_4(esk14_0,X3,esk15_0,X4))
| ~ member(X4,esk17_0)
| ~ member(X4,X1)
| ~ member(esk3_4(esk14_0,X3,esk15_0,X4),esk15_0)
| ~ member(esk3_4(esk14_0,X3,esk15_0,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk14_0,esk17_0,X2)
| ~ maps(esk14_0,X3,esk15_0)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[28337,16825,theory(equality)]) ).
cnf(28435,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,X4),esk3_4(esk14_0,X3,esk15_0,X4))
| ~ maps(esk14_0,X3,esk15_0)
| ~ member(esk3_4(esk14_0,X3,esk15_0,X4),X2)
| ~ member(X4,esk17_0)
| ~ member(X4,X3)
| ~ member(X4,X1)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk14_0,esk17_0,X2) ),
inference(csr,[status(thm)],[28392,23]) ).
cnf(28436,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,X2),esk3_4(esk14_0,X3,esk15_0,X2))
| ~ maps(esk14_0,X3,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X1)
| ~ member(X2,X3)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ surjective(esk14_0,esk17_0,esk15_0) ),
inference(spm,[status(thm)],[28435,23,theory(equality)]) ).
cnf(28448,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,X2),esk3_4(esk14_0,X3,esk15_0,X2))
| ~ maps(esk14_0,X3,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X1)
| ~ member(X2,X3)
| ~ surjective(esk13_0,esk16_0,X1)
| $false ),
inference(rw,[status(thm)],[28436,531,theory(equality)]) ).
cnf(28449,negated_conjecture,
( apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),esk1_4(esk13_0,esk16_0,X1,X2),esk3_4(esk14_0,X3,esk15_0,X2))
| ~ maps(esk14_0,X3,esk15_0)
| ~ member(X2,esk17_0)
| ~ member(X2,X1)
| ~ member(X2,X3)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(cn,[status(thm)],[28448,theory(equality)]) ).
cnf(28451,negated_conjecture,
( X1 = esk1_4(esk13_0,esk16_0,X2,X3)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,esk3_4(esk14_0,X4,esk15_0,X3))
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk1_4(esk13_0,esk16_0,X2,X3),esk16_0)
| ~ member(X1,esk16_0)
| ~ maps(esk14_0,X4,esk15_0)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ member(X3,X4)
| ~ surjective(esk13_0,esk16_0,X2) ),
inference(spm,[status(thm)],[102,28449,theory(equality)]) ).
cnf(29406,negated_conjecture,
( X1 = esk1_4(esk13_0,esk16_0,X2,X3)
| ~ maps(esk14_0,X4,esk15_0)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,esk3_4(esk14_0,X4,esk15_0,X3))
| ~ member(esk3_4(esk14_0,X4,esk15_0,X3),esk15_0)
| ~ member(X1,esk16_0)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ member(X3,X4)
| ~ surjective(esk13_0,esk16_0,X2) ),
inference(csr,[status(thm)],[28451,14]) ).
cnf(29407,negated_conjecture,
( X1 = esk1_4(esk13_0,esk16_0,X2,X3)
| ~ maps(esk14_0,X4,esk15_0)
| ~ apply(compose_function(esk14_0,esk13_0,esk16_0,esk17_0,esk15_0),X1,esk3_4(esk14_0,X4,esk15_0,X3))
| ~ member(X1,esk16_0)
| ~ member(X3,esk17_0)
| ~ member(X3,X2)
| ~ member(X3,X4)
| ~ surjective(esk13_0,esk16_0,X2) ),
inference(csr,[status(thm)],[29406,23]) ).
cnf(29423,negated_conjecture,
( X1 = esk1_4(esk13_0,esk16_0,X2,esk3_4(esk13_0,X3,X4,X1))
| ~ maps(esk14_0,X5,esk15_0)
| ~ member(X1,esk16_0)
| ~ member(esk3_4(esk13_0,X3,X4,X1),esk17_0)
| ~ member(esk3_4(esk13_0,X3,X4,X1),X2)
| ~ member(esk3_4(esk13_0,X3,X4,X1),X5)
| ~ surjective(esk13_0,esk16_0,X2)
| ~ maps(esk13_0,X3,X4)
| ~ member(esk3_4(esk14_0,X5,esk15_0,esk3_4(esk13_0,X3,X4,X1)),esk15_0)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[29407,242,theory(equality)]) ).
cnf(34367,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X2,esk3_4(esk13_0,X3,X4,X1)) = X1
| ~ maps(esk14_0,X5,esk15_0)
| ~ maps(esk13_0,X3,X4)
| ~ member(esk3_4(esk13_0,X3,X4,X1),esk17_0)
| ~ member(esk3_4(esk13_0,X3,X4,X1),X2)
| ~ member(esk3_4(esk13_0,X3,X4,X1),X5)
| ~ member(X1,esk16_0)
| ~ member(X1,X3)
| ~ surjective(esk13_0,esk16_0,X2) ),
inference(csr,[status(thm)],[29423,23]) ).
cnf(34368,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk3_4(esk13_0,X2,X3,X4)) = X4
| ~ maps(esk14_0,X3,esk15_0)
| ~ maps(esk13_0,X2,X3)
| ~ member(esk3_4(esk13_0,X2,X3,X4),esk17_0)
| ~ member(esk3_4(esk13_0,X2,X3,X4),X1)
| ~ member(X4,esk16_0)
| ~ member(X4,X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[34367,23,theory(equality)]) ).
cnf(34387,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk9_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| ~ maps(esk14_0,esk17_0,esk15_0)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk9_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk9_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[34368,189,theory(equality)]) ).
cnf(34388,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk10_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| ~ maps(esk14_0,esk17_0,esk15_0)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk10_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk10_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[34368,190,theory(equality)]) ).
cnf(34482,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk9_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| $false
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk9_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk9_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(rw,[status(thm)],[34387,70,theory(equality)]) ).
cnf(34483,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk9_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk9_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk9_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(cn,[status(thm)],[34482,theory(equality)]) ).
cnf(34484,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk10_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| $false
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk10_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk10_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(rw,[status(thm)],[34388,70,theory(equality)]) ).
cnf(34485,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X3,X4)) = esk10_3(esk13_0,X3,X4)
| injective(esk13_0,X3,X4)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),esk17_0)
| ~ member(esk11_3(esk13_0,X3,X4),X1)
| ~ member(esk10_3(esk13_0,X3,X4),esk16_0)
| ~ member(esk10_3(esk13_0,X3,X4),X2)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(cn,[status(thm)],[34484,theory(equality)]) ).
cnf(34767,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X2,X3)) = esk9_3(esk13_0,X2,X3)
| injective(esk13_0,X2,X3)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X2,X3),esk17_0)
| ~ member(esk9_3(esk13_0,X2,X3),esk16_0)
| ~ member(esk11_3(esk13_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[34483,56,theory(equality)]) ).
cnf(35002,negated_conjecture,
( esk1_4(esk13_0,esk16_0,X1,esk11_3(esk13_0,X2,X3)) = esk10_3(esk13_0,X2,X3)
| injective(esk13_0,X2,X3)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X2,X3),esk17_0)
| ~ member(esk10_3(esk13_0,X2,X3),esk16_0)
| ~ member(esk11_3(esk13_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(spm,[status(thm)],[34485,55,theory(equality)]) ).
cnf(35090,negated_conjecture,
( esk10_3(esk13_0,X2,X3) = esk9_3(esk13_0,X2,X3)
| injective(esk13_0,X2,X3)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X2,X3),esk17_0)
| ~ member(esk9_3(esk13_0,X2,X3),esk16_0)
| ~ member(esk11_3(esk13_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X1)
| ~ member(esk10_3(esk13_0,X2,X3),esk16_0) ),
inference(spm,[status(thm)],[34767,35002,theory(equality)]) ).
cnf(35097,negated_conjecture,
( injective(esk13_0,X2,X3)
| ~ maps(esk13_0,X2,esk17_0)
| ~ member(esk11_3(esk13_0,X2,X3),esk17_0)
| ~ member(esk9_3(esk13_0,X2,X3),esk16_0)
| ~ member(esk10_3(esk13_0,X2,X3),esk16_0)
| ~ member(esk11_3(esk13_0,X2,X3),X1)
| ~ surjective(esk13_0,esk16_0,X1) ),
inference(csr,[status(thm)],[35090,51]) ).
cnf(35098,negated_conjecture,
( injective(esk13_0,X1,esk17_0)
| ~ maps(esk13_0,X1,esk17_0)
| ~ member(esk9_3(esk13_0,X1,esk17_0),esk16_0)
| ~ member(esk10_3(esk13_0,X1,esk17_0),esk16_0)
| ~ member(esk11_3(esk13_0,X1,esk17_0),X2)
| ~ surjective(esk13_0,esk16_0,X2) ),
inference(spm,[status(thm)],[35097,54,theory(equality)]) ).
cnf(35099,negated_conjecture,
( injective(esk13_0,X1,esk17_0)
| ~ maps(esk13_0,X1,esk17_0)
| ~ member(esk9_3(esk13_0,X1,esk17_0),esk16_0)
| ~ member(esk10_3(esk13_0,X1,esk17_0),esk16_0)
| ~ surjective(esk13_0,esk16_0,esk17_0) ),
inference(spm,[status(thm)],[35098,54,theory(equality)]) ).
cnf(35100,negated_conjecture,
( injective(esk13_0,X1,esk17_0)
| ~ maps(esk13_0,X1,esk17_0)
| ~ member(esk9_3(esk13_0,X1,esk17_0),esk16_0)
| ~ member(esk10_3(esk13_0,X1,esk17_0),esk16_0)
| $false ),
inference(rw,[status(thm)],[35099,528,theory(equality)]) ).
cnf(35101,negated_conjecture,
( injective(esk13_0,X1,esk17_0)
| ~ maps(esk13_0,X1,esk17_0)
| ~ member(esk9_3(esk13_0,X1,esk17_0),esk16_0)
| ~ member(esk10_3(esk13_0,X1,esk17_0),esk16_0) ),
inference(cn,[status(thm)],[35100,theory(equality)]) ).
cnf(35102,negated_conjecture,
( injective(esk13_0,esk16_0,esk17_0)
| ~ maps(esk13_0,esk16_0,esk17_0)
| ~ member(esk9_3(esk13_0,esk16_0,esk17_0),esk16_0) ),
inference(spm,[status(thm)],[35101,55,theory(equality)]) ).
cnf(35103,negated_conjecture,
( injective(esk13_0,esk16_0,esk17_0)
| $false
| ~ member(esk9_3(esk13_0,esk16_0,esk17_0),esk16_0) ),
inference(rw,[status(thm)],[35102,71,theory(equality)]) ).
cnf(35104,negated_conjecture,
( injective(esk13_0,esk16_0,esk17_0)
| ~ member(esk9_3(esk13_0,esk16_0,esk17_0),esk16_0) ),
inference(cn,[status(thm)],[35103,theory(equality)]) ).
cnf(35105,negated_conjecture,
~ member(esk9_3(esk13_0,esk16_0,esk17_0),esk16_0),
inference(sr,[status(thm)],[35104,530,theory(equality)]) ).
cnf(35106,negated_conjecture,
injective(esk13_0,esk16_0,esk17_0),
inference(spm,[status(thm)],[35105,56,theory(equality)]) ).
cnf(35107,negated_conjecture,
$false,
inference(sr,[status(thm)],[35106,530,theory(equality)]) ).
cnf(35108,negated_conjecture,
$false,
35107,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET743+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmp3Dzczm/sel_SET743+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET743+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET743+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET743+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
%
%------------------------------------------------------------------------------