TSTP Solution File: SET721+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET721+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 03:18:47 EST 2010
% Result : Theorem 20.46s
% Output : CNFRefutation 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 5
% Syntax : Number of formulae : 151 ( 8 unt; 0 def)
% Number of atoms : 1212 ( 83 equ)
% Maximal formula atoms : 55 ( 8 avg)
% Number of connectives : 1924 ( 863 ~; 913 |; 135 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-7 aty)
% Number of variables : 771 ( 23 sgn 169 !; 35 ?)
% 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/tmpg_BA4A/sel_SET721+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/tmpg_BA4A/sel_SET721+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/tmpg_BA4A/sel_SET721+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/tmpg_BA4A/sel_SET721+4.p_1',injective) ).
fof(6,conjecture,
! [X1,X9,X2,X3,X10] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X10)
& injective(compose_function(X9,X1,X2,X3,X10),X2,X10) )
=> injective(X1,X2,X3) ),
file('/tmp/tmpg_BA4A/sel_SET721+4.p_1',thII12) ).
fof(7,negated_conjecture,
~ ! [X1,X9,X2,X3,X10] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X10)
& injective(compose_function(X9,X1,X2,X3,X10),X2,X10) )
=> injective(X1,X2,X3) ),
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]) ).
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(43,plain,
( apply(X6,X3,esk8_7(X5,X6,X4,X7,X2,X3,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(64,negated_conjecture,
? [X1,X9,X2,X3,X10] :
( maps(X1,X2,X3)
& maps(X9,X3,X10)
& injective(compose_function(X9,X1,X2,X3,X10),X2,X10)
& ~ injective(X1,X2,X3) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(65,negated_conjecture,
? [X11,X12,X13,X14,X15] :
( maps(X11,X13,X14)
& maps(X12,X14,X15)
& injective(compose_function(X12,X11,X13,X14,X15),X13,X15)
& ~ injective(X11,X13,X14) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( maps(esk12_0,esk14_0,esk15_0)
& maps(esk13_0,esk15_0,esk16_0)
& injective(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),esk14_0,esk16_0)
& ~ injective(esk12_0,esk14_0,esk15_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
~ injective(esk12_0,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
injective(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),esk14_0,esk16_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
maps(esk13_0,esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
maps(esk12_0,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(75,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X2,X3)
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X1,X3)
| ~ member(X3,esk16_0)
| ~ member(X2,esk14_0)
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[57,68,theory(equality)]) ).
cnf(79,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,X3,X2)
| ~ apply(esk12_0,X3,X1)
| ~ member(X3,esk14_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[24,70,theory(equality)]) ).
cnf(83,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk9_3(X2,X6,X7),X8)
| injective(X2,X6,X7)
| ~ apply(X1,esk11_3(X2,X6,X7),X8)
| ~ member(esk11_3(X2,X6,X7),X4)
| ~ member(esk9_3(X2,X6,X7),X3)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[45,53,theory(equality)]) ).
cnf(84,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk10_3(X2,X6,X7),X8)
| injective(X2,X6,X7)
| ~ apply(X1,esk11_3(X2,X6,X7),X8)
| ~ member(esk11_3(X2,X6,X7),X4)
| ~ member(esk10_3(X2,X6,X7),X3)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[45,52,theory(equality)]) ).
cnf(85,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(86,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,negated_conjecture,
( X1 = esk11_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ apply(esk12_0,esk10_3(esk12_0,X2,X3),X1)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[79,52,theory(equality)]) ).
cnf(100,negated_conjecture,
( X1 = esk3_4(esk12_0,X2,X3,X4)
| ~ apply(esk12_0,X4,X1)
| ~ member(X4,esk14_0)
| ~ member(esk3_4(esk12_0,X2,X3,X4),esk15_0)
| ~ member(X1,esk15_0)
| ~ maps(esk12_0,X2,X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[79,22,theory(equality)]) ).
cnf(101,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,esk1_4(esk12_0,X3,X4,X2),X1)
| ~ member(esk1_4(esk12_0,X3,X4,X2),esk14_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ member(X2,X4)
| ~ surjective(esk12_0,X3,X4) ),
inference(spm,[status(thm)],[79,13,theory(equality)]) ).
cnf(104,negated_conjecture,
( X1 = esk8_7(X2,esk12_0,X3,X4,X5,X6,X7)
| ~ apply(esk12_0,X6,X1)
| ~ member(X6,esk14_0)
| ~ member(esk8_7(X2,esk12_0,X3,X4,X5,X6,X7),esk15_0)
| ~ member(X1,esk15_0)
| ~ apply(compose_function(X2,esk12_0,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[79,43,theory(equality)]) ).
cnf(141,negated_conjecture,
( X1 = esk3_4(esk12_0,X2,esk15_0,X3)
| ~ maps(esk12_0,X2,esk15_0)
| ~ apply(esk12_0,X3,X1)
| ~ member(X3,esk14_0)
| ~ member(X1,esk15_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[100,23,theory(equality)]) ).
cnf(147,negated_conjecture,
( esk3_4(esk12_0,X1,X2,X3) = esk3_4(esk12_0,X4,esk15_0,X3)
| ~ maps(esk12_0,X4,esk15_0)
| ~ member(X3,esk14_0)
| ~ member(esk3_4(esk12_0,X1,X2,X3),esk15_0)
| ~ member(X3,X4)
| ~ maps(esk12_0,X1,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[141,22,theory(equality)]) ).
cnf(175,negated_conjecture,
( esk3_4(esk12_0,X1,esk15_0,X2) = esk3_4(esk12_0,X3,esk15_0,X2)
| ~ maps(esk12_0,X3,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ member(X2,esk14_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[147,23,theory(equality)]) ).
cnf(217,negated_conjecture,
( X1 = esk9_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X1,X4)
| ~ member(X4,esk16_0)
| ~ member(esk9_3(esk12_0,X2,X3),esk14_0)
| ~ member(X1,esk14_0)
| ~ apply(esk13_0,esk11_3(esk12_0,X2,X3),X4)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0) ),
inference(spm,[status(thm)],[75,83,theory(equality)]) ).
cnf(290,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)],[85,22,theory(equality)]) ).
cnf(318,negated_conjecture,
( X1 = esk1_4(esk12_0,X2,X3,X4)
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X1,X5)
| ~ member(X5,esk16_0)
| ~ member(esk1_4(esk12_0,X2,X3,X4),esk14_0)
| ~ member(X1,esk14_0)
| ~ apply(esk13_0,X4,X5)
| ~ member(X4,esk15_0)
| ~ member(X4,X3)
| ~ surjective(esk12_0,X2,X3) ),
inference(spm,[status(thm)],[75,86,theory(equality)]) ).
cnf(452,negated_conjecture,
( esk1_4(esk12_0,X1,X2,X3) = esk1_4(esk12_0,X4,X5,X6)
| ~ apply(esk13_0,X6,X7)
| ~ member(esk1_4(esk12_0,X4,X5,X6),esk14_0)
| ~ member(X7,esk16_0)
| ~ member(esk1_4(esk12_0,X1,X2,X3),esk14_0)
| ~ member(X6,esk15_0)
| ~ member(X6,X5)
| ~ surjective(esk12_0,X4,X5)
| ~ apply(esk13_0,X3,X7)
| ~ member(X3,esk15_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,X1,X2) ),
inference(spm,[status(thm)],[318,86,theory(equality)]) ).
cnf(520,negated_conjecture,
( X1 = esk8_7(X2,esk12_0,X3,esk15_0,X4,X5,X6)
| ~ apply(compose_function(X2,esk12_0,X3,esk15_0,X4),X5,X6)
| ~ apply(esk12_0,X5,X1)
| ~ member(X5,esk14_0)
| ~ member(X1,esk15_0)
| ~ member(X5,X3)
| ~ member(X6,X4) ),
inference(spm,[status(thm)],[104,44,theory(equality)]) ).
cnf(523,negated_conjecture,
( esk11_3(esk12_0,X1,X2) = esk8_7(X3,esk12_0,X4,esk15_0,X5,esk10_3(esk12_0,X1,X2),X6)
| injective(esk12_0,X1,X2)
| ~ apply(compose_function(X3,esk12_0,X4,esk15_0,X5),esk10_3(esk12_0,X1,X2),X6)
| ~ member(esk10_3(esk12_0,X1,X2),esk14_0)
| ~ member(esk11_3(esk12_0,X1,X2),esk15_0)
| ~ member(esk10_3(esk12_0,X1,X2),X4)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[520,52,theory(equality)]) ).
cnf(524,negated_conjecture,
( esk3_4(esk12_0,X1,X2,X3) = esk8_7(X4,esk12_0,X5,esk15_0,X6,X3,X7)
| ~ apply(compose_function(X4,esk12_0,X5,esk15_0,X6),X3,X7)
| ~ member(X3,esk14_0)
| ~ member(esk3_4(esk12_0,X1,X2,X3),esk15_0)
| ~ member(X3,X5)
| ~ member(X7,X6)
| ~ maps(esk12_0,X1,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[520,22,theory(equality)]) ).
cnf(677,negated_conjecture,
( esk3_4(esk12_0,X1,esk15_0,X2) = esk8_7(X3,esk12_0,X4,esk15_0,X5,X2,X6)
| ~ maps(esk12_0,X1,esk15_0)
| ~ apply(compose_function(X3,esk12_0,X4,esk15_0,X5),X2,X6)
| ~ member(X2,esk14_0)
| ~ member(X2,X4)
| ~ member(X6,X5)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[524,23,theory(equality)]) ).
cnf(689,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X6,esk15_0,X4),X5)
| ~ apply(compose_function(X1,esk12_0,X2,esk15_0,X3),X4,X5)
| ~ member(X4,X2)
| ~ member(X5,X3)
| ~ maps(esk12_0,X6,esk15_0)
| ~ member(X4,esk14_0)
| ~ member(X4,X6) ),
inference(spm,[status(thm)],[42,677,theory(equality)]) ).
cnf(1549,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,X7,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(X3,esk14_0)
| ~ member(X3,X8)
| ~ member(esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,X7,X3)),X9)
| ~ member(X3,X2)
| ~ maps(esk12_0,X6,X7)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X6,X7,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X6,X7,X3),X4)
| ~ member(X3,X6) ),
inference(spm,[status(thm)],[689,290,theory(equality)]) ).
cnf(4307,negated_conjecture,
( esk1_4(esk12_0,X1,X2,X3) = esk1_4(esk12_0,esk14_0,X4,X5)
| ~ apply(esk13_0,X5,X6)
| ~ apply(esk13_0,X3,X6)
| ~ member(esk1_4(esk12_0,X1,X2,X3),esk14_0)
| ~ member(X6,esk16_0)
| ~ member(X5,esk15_0)
| ~ member(X3,esk15_0)
| ~ member(X5,X4)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X4)
| ~ surjective(esk12_0,X1,X2) ),
inference(spm,[status(thm)],[452,14,theory(equality)]) ).
cnf(4328,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,X2) = esk1_4(esk12_0,esk14_0,X3,X4)
| ~ apply(esk13_0,X4,X5)
| ~ apply(esk13_0,X2,X5)
| ~ member(X5,esk16_0)
| ~ member(X4,esk15_0)
| ~ member(X2,esk15_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[4307,14,theory(equality)]) ).
cnf(4335,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,X2) = esk1_4(esk12_0,esk14_0,X3,X4)
| ~ apply(esk13_0,X2,esk3_4(esk13_0,X5,X6,X4))
| ~ member(esk3_4(esk13_0,X5,X6,X4),esk16_0)
| ~ member(X4,esk15_0)
| ~ member(X2,esk15_0)
| ~ member(X4,X3)
| ~ member(X2,X1)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ maps(esk13_0,X5,X6)
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[4328,22,theory(equality)]) ).
cnf(4373,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,X2) = esk1_4(esk12_0,esk14_0,X3,X2)
| ~ maps(esk13_0,X4,X5)
| ~ member(esk3_4(esk13_0,X4,X5,X2),esk16_0)
| ~ member(X2,esk15_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[4335,22,theory(equality)]) ).
cnf(4391,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,X2) = esk1_4(esk12_0,esk14_0,X3,X2)
| ~ maps(esk13_0,X4,esk16_0)
| ~ member(X2,esk15_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X4)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[4373,23,theory(equality)]) ).
cnf(4401,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,X2) = esk1_4(esk12_0,esk14_0,X3,X2)
| ~ member(X2,esk15_0)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[4391,69,theory(equality)]) ).
cnf(4408,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,esk1_4(esk12_0,esk14_0,X4,X2),X1)
| ~ member(esk1_4(esk12_0,esk14_0,X4,X2),esk14_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ member(X2,X3)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ member(X2,X4)
| ~ surjective(esk12_0,esk14_0,X4) ),
inference(spm,[status(thm)],[101,4401,theory(equality)]) ).
cnf(4496,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,esk1_4(esk12_0,esk14_0,X4,X2),X1)
| ~ member(esk1_4(esk12_0,esk14_0,X4,X2),esk14_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ member(X2,X4)
| ~ member(X2,X3)
| ~ surjective(esk12_0,esk14_0,X4) ),
inference(csr,[status(thm)],[4408,101]) ).
cnf(4497,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,esk1_4(esk12_0,esk14_0,X4,X2),X1)
| ~ member(esk1_4(esk12_0,esk14_0,X4,X2),esk14_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ member(X2,X4)
| ~ surjective(esk12_0,esk14_0,X4) ),
inference(csr,[status(thm)],[4496,101]) ).
cnf(4498,negated_conjecture,
( X1 = X2
| ~ apply(esk12_0,esk1_4(esk12_0,esk14_0,X4,X2),X1)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ member(X2,X4)
| ~ surjective(esk12_0,esk14_0,X4) ),
inference(csr,[status(thm)],[4497,14]) ).
cnf(4499,negated_conjecture,
( esk3_4(esk12_0,X1,X2,esk1_4(esk12_0,esk14_0,X3,X4)) = X4
| ~ member(X4,esk15_0)
| ~ member(esk3_4(esk12_0,X1,X2,esk1_4(esk12_0,esk14_0,X3,X4)),esk15_0)
| ~ member(X4,X3)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ maps(esk12_0,X1,X2)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X1) ),
inference(spm,[status(thm)],[4498,22,theory(equality)]) ).
cnf(4522,negated_conjecture,
( esk3_4(esk12_0,X1,esk15_0,esk1_4(esk12_0,esk14_0,X2,X3)) = X3
| ~ maps(esk12_0,X1,esk15_0)
| ~ member(esk1_4(esk12_0,esk14_0,X2,X3),X1)
| ~ member(X3,esk15_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X2) ),
inference(spm,[status(thm)],[4499,23,theory(equality)]) ).
cnf(4541,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,X3,X4),esk1_4(esk12_0,esk14_0,X5,X6),esk3_4(X1,X7,X8,X6))
| ~ maps(esk12_0,X9,esk15_0)
| ~ maps(X1,X7,X8)
| ~ member(esk3_4(X1,X7,X8,X6),X4)
| ~ member(X6,X3)
| ~ member(X6,X7)
| ~ member(esk1_4(esk12_0,esk14_0,X5,X6),X2)
| ~ member(esk1_4(esk12_0,esk14_0,X5,X6),X9)
| ~ member(X6,esk15_0)
| ~ member(X6,X5)
| ~ surjective(esk12_0,esk14_0,X5) ),
inference(spm,[status(thm)],[290,4522,theory(equality)]) ).
cnf(11341,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,X3,X4),esk1_4(esk12_0,esk14_0,X5,X6),esk3_4(X1,X7,X8,X6))
| ~ maps(esk12_0,esk14_0,esk15_0)
| ~ maps(X1,X7,X8)
| ~ member(esk1_4(esk12_0,esk14_0,X5,X6),X2)
| ~ member(esk3_4(X1,X7,X8,X6),X4)
| ~ member(X6,esk15_0)
| ~ member(X6,X3)
| ~ member(X6,X7)
| ~ member(X6,X5)
| ~ surjective(esk12_0,esk14_0,X5) ),
inference(spm,[status(thm)],[4541,14,theory(equality)]) ).
cnf(11351,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,X3,X4),esk1_4(esk12_0,esk14_0,X5,X6),esk3_4(X1,X7,X8,X6))
| $false
| ~ maps(X1,X7,X8)
| ~ member(esk1_4(esk12_0,esk14_0,X5,X6),X2)
| ~ member(esk3_4(X1,X7,X8,X6),X4)
| ~ member(X6,esk15_0)
| ~ member(X6,X3)
| ~ member(X6,X7)
| ~ member(X6,X5)
| ~ surjective(esk12_0,esk14_0,X5) ),
inference(rw,[status(thm)],[11341,70,theory(equality)]) ).
cnf(11352,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,X3,X4),esk1_4(esk12_0,esk14_0,X5,X6),esk3_4(X1,X7,X8,X6))
| ~ maps(X1,X7,X8)
| ~ member(esk1_4(esk12_0,esk14_0,X5,X6),X2)
| ~ member(esk3_4(X1,X7,X8,X6),X4)
| ~ member(X6,esk15_0)
| ~ member(X6,X3)
| ~ member(X6,X7)
| ~ member(X6,X5)
| ~ surjective(esk12_0,esk14_0,X5) ),
inference(cn,[status(thm)],[11351,theory(equality)]) ).
cnf(11354,negated_conjecture,
( X1 = esk1_4(esk12_0,esk14_0,X2,X3)
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X1,esk3_4(esk13_0,X4,X5,X3))
| ~ member(esk3_4(esk13_0,X4,X5,X3),esk16_0)
| ~ member(esk1_4(esk12_0,esk14_0,X2,X3),esk14_0)
| ~ member(X1,esk14_0)
| ~ maps(esk13_0,X4,X5)
| ~ member(X3,esk15_0)
| ~ member(X3,X4)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X2) ),
inference(spm,[status(thm)],[75,11352,theory(equality)]) ).
cnf(11375,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,esk1_4(esk12_0,esk14_0,X3,X4)),esk3_4(X1,X5,X6,X4))
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),esk14_0)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X7)
| ~ member(esk3_4(X1,X5,X6,X4),X8)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X2)
| ~ maps(X1,X5,X6)
| ~ member(X4,esk15_0)
| ~ member(X4,X5)
| ~ member(X4,X3)
| ~ surjective(esk12_0,esk14_0,X3) ),
inference(spm,[status(thm)],[689,11352,theory(equality)]) ).
cnf(11435,negated_conjecture,
( X1 = esk1_4(esk12_0,esk14_0,X2,X3)
| ~ maps(esk13_0,X4,X5)
| ~ apply(compose_function(esk13_0,esk12_0,esk14_0,esk15_0,esk16_0),X1,esk3_4(esk13_0,X4,X5,X3))
| ~ member(esk3_4(esk13_0,X4,X5,X3),esk16_0)
| ~ member(X1,esk14_0)
| ~ member(X3,esk15_0)
| ~ member(X3,X4)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X2) ),
inference(csr,[status(thm)],[11354,14]) ).
cnf(11451,negated_conjecture,
( X1 = esk1_4(esk12_0,esk14_0,X2,esk3_4(esk12_0,X3,X4,X1))
| ~ maps(esk13_0,X5,X6)
| ~ member(esk3_4(esk13_0,X5,X6,esk3_4(esk12_0,X3,X4,X1)),esk16_0)
| ~ member(X1,esk14_0)
| ~ member(esk3_4(esk12_0,X3,X4,X1),esk15_0)
| ~ member(esk3_4(esk12_0,X3,X4,X1),X5)
| ~ member(esk3_4(esk12_0,X3,X4,X1),X2)
| ~ surjective(esk12_0,esk14_0,X2)
| ~ maps(esk12_0,X3,X4)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[11435,290,theory(equality)]) ).
cnf(11641,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X2,X3,X4)) = X4
| ~ maps(esk13_0,X5,esk16_0)
| ~ maps(esk12_0,X2,X3)
| ~ member(esk3_4(esk12_0,X2,X3,X4),esk15_0)
| ~ member(esk3_4(esk12_0,X2,X3,X4),X5)
| ~ member(esk3_4(esk12_0,X2,X3,X4),X1)
| ~ member(X4,esk14_0)
| ~ member(X4,X2)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[11451,23,theory(equality)]) ).
cnf(11655,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X2,X3,X4)) = X4
| ~ maps(esk13_0,X3,esk16_0)
| ~ maps(esk12_0,X2,X3)
| ~ member(esk3_4(esk12_0,X2,X3,X4),esk15_0)
| ~ member(esk3_4(esk12_0,X2,X3,X4),X1)
| ~ member(X4,esk14_0)
| ~ member(X4,X2)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[11641,23,theory(equality)]) ).
cnf(11670,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X4,esk15_0,X3)) = X3
| ~ maps(esk13_0,esk15_0,esk16_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ maps(esk12_0,X4,esk15_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[11655,175,theory(equality)]) ).
cnf(11752,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X4,esk15_0,X3)) = X3
| $false
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ maps(esk12_0,X4,esk15_0)
| ~ member(X3,X4) ),
inference(rw,[status(thm)],[11670,69,theory(equality)]) ).
cnf(11753,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X4,esk15_0,X3)) = X3
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ maps(esk12_0,X4,esk15_0)
| ~ member(X3,X4) ),
inference(cn,[status(thm)],[11752,theory(equality)]) ).
cnf(11775,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X4,esk15_0,X3)) = X3
| ~ maps(esk12_0,X4,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk3_4(esk12_0,X4,esk15_0,X3),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X4)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(csr,[status(thm)],[11753,23]) ).
cnf(11776,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk3_4(esk12_0,X2,esk15_0,X3)) = X3
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk3_4(esk12_0,X2,esk15_0,X3),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[11775,70,theory(equality)]) ).
cnf(11789,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk8_7(X4,esk12_0,X5,esk15_0,X6,X3,X7)) = X3
| ~ maps(esk12_0,X2,esk15_0)
| ~ member(esk8_7(X4,esk12_0,X5,esk15_0,X6,X3,X7),X1)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ apply(compose_function(X4,esk12_0,X5,esk15_0,X6),X3,X7)
| ~ member(X3,X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[11776,677,theory(equality)]) ).
cnf(12557,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk8_7(X2,esk12_0,X3,esk15_0,X4,X5,X6)) = X5
| ~ apply(compose_function(X2,esk12_0,X3,esk15_0,X4),X5,X6)
| ~ member(esk8_7(X2,esk12_0,X3,esk15_0,X4,X5,X6),X1)
| ~ member(X5,esk14_0)
| ~ member(X5,X3)
| ~ member(X6,X4)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[11789,70,theory(equality)]) ).
cnf(12567,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X5,X6)) = esk10_3(esk12_0,X5,X6)
| injective(esk12_0,X5,X6)
| ~ apply(compose_function(X2,esk12_0,X3,esk15_0,X4),esk10_3(esk12_0,X5,X6),X7)
| ~ member(esk11_3(esk12_0,X5,X6),X1)
| ~ member(esk10_3(esk12_0,X5,X6),esk14_0)
| ~ member(esk10_3(esk12_0,X5,X6),X3)
| ~ member(X7,X4)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ member(esk11_3(esk12_0,X5,X6),esk15_0) ),
inference(spm,[status(thm)],[12557,523,theory(equality)]) ).
cnf(13329,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,X3)) = esk10_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk11_3(esk12_0,X2,X3),X1)
| ~ member(esk10_3(esk12_0,X2,X3),X5)
| ~ member(X7,X6)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ apply(X4,esk11_3(esk12_0,X2,X3),X7) ),
inference(spm,[status(thm)],[12567,84,theory(equality)]) ).
cnf(13349,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,X3)) = esk10_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk11_3(esk12_0,X2,X3),X1)
| ~ member(esk10_3(esk12_0,X2,X3),X7)
| ~ member(esk3_4(X4,X5,X6,esk11_3(esk12_0,X2,X3)),X8)
| ~ surjective(esk12_0,esk14_0,X1)
| ~ maps(X4,X5,X6)
| ~ member(esk11_3(esk12_0,X2,X3),X5) ),
inference(spm,[status(thm)],[13329,22,theory(equality)]) ).
cnf(49103,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,X3)) = esk10_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ maps(X4,X5,X6)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk11_3(esk12_0,X2,X3),X1)
| ~ member(esk10_3(esk12_0,X2,X3),X7)
| ~ member(esk11_3(esk12_0,X2,X3),X5)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[13349,23,theory(equality)]) ).
cnf(49122,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,X3)) = esk10_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ maps(X4,X5,X6)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk11_3(esk12_0,X2,X3),X1)
| ~ member(esk11_3(esk12_0,X2,X3),X5)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[49103,55,theory(equality)]) ).
cnf(49123,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,X3)) = esk10_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ maps(X4,X3,X5)
| ~ member(esk10_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk11_3(esk12_0,X2,X3),X1)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[49122,54,theory(equality)]) ).
cnf(49125,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,esk15_0)) = esk10_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),esk15_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),X1)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(spm,[status(thm)],[49123,69,theory(equality)]) ).
cnf(49292,negated_conjecture,
( esk1_4(esk12_0,esk14_0,X1,esk11_3(esk12_0,X2,esk15_0)) = esk10_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),X1)
| ~ surjective(esk12_0,esk14_0,X1) ),
inference(csr,[status(thm)],[49125,54]) ).
cnf(49295,negated_conjecture,
( X1 = esk11_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ apply(esk12_0,esk10_3(esk12_0,X2,esk15_0),X1)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),esk15_0)
| ~ member(X1,esk15_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),X3)
| ~ surjective(esk12_0,esk14_0,X3) ),
inference(spm,[status(thm)],[101,49292,theory(equality)]) ).
cnf(49491,negated_conjecture,
( X1 = esk11_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ apply(esk12_0,esk10_3(esk12_0,X2,esk15_0),X1)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),esk15_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),X3)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[49295,99]) ).
cnf(49492,negated_conjecture,
( X1 = esk11_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ apply(esk12_0,esk10_3(esk12_0,X2,esk15_0),X1)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X2,esk15_0),esk15_0)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[49491,99]) ).
cnf(49493,negated_conjecture,
( X1 = esk11_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ apply(esk12_0,esk10_3(esk12_0,X2,esk15_0),X1)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[49492,54]) ).
cnf(49494,negated_conjecture,
( esk3_4(esk12_0,X1,X2,esk10_3(esk12_0,X3,esk15_0)) = esk11_3(esk12_0,X3,esk15_0)
| injective(esk12_0,X3,esk15_0)
| ~ member(esk10_3(esk12_0,X3,esk15_0),esk14_0)
| ~ member(esk3_4(esk12_0,X1,X2,esk10_3(esk12_0,X3,esk15_0)),esk15_0)
| ~ maps(esk12_0,X1,X2)
| ~ member(esk10_3(esk12_0,X3,esk15_0),X1) ),
inference(spm,[status(thm)],[49493,22,theory(equality)]) ).
cnf(49509,negated_conjecture,
( esk3_4(esk12_0,X1,esk15_0,esk10_3(esk12_0,X2,esk15_0)) = esk11_3(esk12_0,X2,esk15_0)
| injective(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ member(esk10_3(esk12_0,X2,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X2,esk15_0),X1) ),
inference(spm,[status(thm)],[49494,23,theory(equality)]) ).
cnf(51002,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,X7,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,X7)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X6,X7,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X6,X7,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X8)
| ~ member(X3,X2)
| ~ member(X3,X6) ),
inference(spm,[status(thm)],[1549,23,theory(equality)]) ).
cnf(70762,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,esk1_4(esk12_0,esk14_0,X3,X4)),esk3_4(X1,X5,X6,X4))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(X1,X5,X6)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X7)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X2)
| ~ member(esk3_4(X1,X5,X6,X4),X8)
| ~ member(X4,esk15_0)
| ~ member(X4,X5)
| ~ member(X4,X3)
| ~ surjective(esk12_0,esk14_0,X3) ),
inference(csr,[status(thm)],[11375,14]) ).
cnf(70763,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,esk1_4(esk12_0,esk14_0,X3,X4)),esk3_4(X1,X5,X6,X4))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(X1,X5,X6)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X2)
| ~ member(esk3_4(X1,X5,X6,X4),X7)
| ~ member(X4,esk15_0)
| ~ member(X4,X5)
| ~ member(X4,X3)
| ~ surjective(esk12_0,esk14_0,X3) ),
inference(spm,[status(thm)],[70762,14,theory(equality)]) ).
cnf(70806,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,esk1_4(esk12_0,esk14_0,X3,X4)),esk3_4(X1,X5,X6,X4))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(X1,X5,X6)
| ~ member(esk1_4(esk12_0,esk14_0,X3,X4),X2)
| ~ member(X4,esk15_0)
| ~ member(X4,X5)
| ~ member(X4,X3)
| ~ surjective(esk12_0,esk14_0,X3) ),
inference(spm,[status(thm)],[70763,23,theory(equality)]) ).
cnf(70938,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X6),esk3_4(X1,X7,X8,esk3_4(esk12_0,X4,X5,X6)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(X1,X7,X8)
| ~ member(X6,X2)
| ~ member(esk3_4(esk12_0,X4,X5,X6),esk15_0)
| ~ member(esk3_4(esk12_0,X4,X5,X6),X7)
| ~ member(esk3_4(esk12_0,X4,X5,X6),X3)
| ~ surjective(esk12_0,esk14_0,X3)
| ~ maps(esk13_0,X5,esk16_0)
| ~ maps(esk12_0,X4,X5)
| ~ member(X6,esk14_0)
| ~ member(X6,X4) ),
inference(spm,[status(thm)],[70806,11655,theory(equality)]) ).
cnf(71312,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,X7,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk13_0,X7,esk16_0)
| ~ maps(esk12_0,X6,X7)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X6,X7,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X6,X7,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6)
| ~ surjective(esk12_0,esk14_0,X7) ),
inference(spm,[status(thm)],[70938,23,theory(equality)]) ).
cnf(71361,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X7,esk15_0,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk13_0,esk15_0,esk16_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6)
| ~ surjective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X7,esk15_0)
| ~ member(X3,X7) ),
inference(spm,[status(thm)],[71312,175,theory(equality)]) ).
cnf(71560,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X7,esk15_0,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| $false
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6)
| ~ surjective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X7,esk15_0)
| ~ member(X3,X7) ),
inference(rw,[status(thm)],[71361,69,theory(equality)]) ).
cnf(71561,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X7,esk15_0,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6)
| ~ surjective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X7,esk15_0)
| ~ member(X3,X7) ),
inference(cn,[status(thm)],[71560,theory(equality)]) ).
cnf(71592,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X7,esk15_0,X3)))
| ~ maps(esk12_0,X7,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),esk15_0)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X7)
| ~ member(X3,X2)
| ~ member(X3,X6) ),
inference(csr,[status(thm)],[71561,51002]) ).
cnf(71593,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X7,esk15_0,X3)))
| ~ maps(esk12_0,X7,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6)
| ~ member(X3,X7) ),
inference(csr,[status(thm)],[71592,23]) ).
cnf(71594,negated_conjecture,
( apply(X1,esk3_4(esk12_0,X2,esk15_0,X3),esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,esk15_0,X3)))
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X6,esk15_0,X3),X4)
| ~ member(X3,esk14_0)
| ~ member(X3,X2)
| ~ member(X3,X6) ),
inference(spm,[status(thm)],[71593,70,theory(equality)]) ).
cnf(71613,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,X3,X4),X5,esk3_4(X1,X6,X7,esk3_4(esk12_0,X8,esk15_0,X5)))
| ~ maps(esk12_0,X9,esk15_0)
| ~ member(esk3_4(esk12_0,X9,esk15_0,X5),X3)
| ~ member(X5,X2)
| ~ member(esk3_4(X1,X6,X7,esk3_4(esk12_0,X8,esk15_0,X5)),X4)
| ~ member(X5,X9)
| ~ maps(esk12_0,X8,esk15_0)
| ~ maps(X1,X6,X7)
| ~ member(esk3_4(esk12_0,X8,esk15_0,X5),X6)
| ~ member(X5,esk14_0)
| ~ member(X5,X8) ),
inference(spm,[status(thm)],[85,71594,theory(equality)]) ).
cnf(71778,negated_conjecture,
( apply(X1,esk11_3(esk12_0,X3,esk15_0),esk3_4(X1,X4,X5,esk3_4(esk12_0,X6,esk15_0,esk10_3(esk12_0,X3,esk15_0))))
| injective(esk12_0,X3,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(X1,X4,X5)
| ~ member(esk3_4(esk12_0,X6,esk15_0,esk10_3(esk12_0,X3,esk15_0)),X4)
| ~ member(esk10_3(esk12_0,X3,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X3,esk15_0),X2)
| ~ member(esk10_3(esk12_0,X3,esk15_0),X6) ),
inference(spm,[status(thm)],[71594,49509,theory(equality)]) ).
cnf(72660,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| apply(X2,esk11_3(esk12_0,X1,esk15_0),esk3_4(X2,X3,X4,esk3_4(esk12_0,X5,esk15_0,esk10_3(esk12_0,X1,esk15_0))))
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X5,esk15_0)
| ~ maps(X2,X3,X4)
| ~ member(esk3_4(esk12_0,X5,esk15_0,esk10_3(esk12_0,X1,esk15_0)),X3)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X5) ),
inference(spm,[status(thm)],[71778,55,theory(equality)]) ).
cnf(74834,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,esk15_0,X3),X4,esk3_4(X1,X5,X6,esk3_4(esk12_0,X7,esk15_0,X4)))
| ~ maps(esk12_0,X8,esk15_0)
| ~ maps(esk12_0,X7,esk15_0)
| ~ maps(X1,X5,X6)
| ~ member(esk3_4(X1,X5,X6,esk3_4(esk12_0,X7,esk15_0,X4)),X3)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X4),X5)
| ~ member(X4,esk14_0)
| ~ member(X4,X2)
| ~ member(X4,X8)
| ~ member(X4,X7) ),
inference(spm,[status(thm)],[71613,23,theory(equality)]) ).
cnf(74848,negated_conjecture,
( apply(compose_function(X1,esk12_0,X2,esk15_0,X3),X4,esk3_4(X1,X5,X6,esk3_4(esk12_0,X7,esk15_0,X4)))
| ~ maps(esk12_0,X7,esk15_0)
| ~ maps(X1,X5,X6)
| ~ member(esk3_4(X1,X5,X6,esk3_4(esk12_0,X7,esk15_0,X4)),X3)
| ~ member(esk3_4(esk12_0,X7,esk15_0,X4),X5)
| ~ member(X4,esk14_0)
| ~ member(X4,X2)
| ~ member(X4,X7) ),
inference(spm,[status(thm)],[74834,70,theory(equality)]) ).
cnf(74875,negated_conjecture,
( X1 = esk9_3(esk12_0,X2,X3)
| injective(esk12_0,X2,X3)
| ~ apply(esk13_0,esk11_3(esk12_0,X2,X3),esk3_4(esk13_0,X4,X5,esk3_4(esk12_0,X6,esk15_0,X1)))
| ~ member(esk9_3(esk12_0,X2,X3),esk14_0)
| ~ member(esk11_3(esk12_0,X2,X3),esk15_0)
| ~ member(esk3_4(esk13_0,X4,X5,esk3_4(esk12_0,X6,esk15_0,X1)),esk16_0)
| ~ member(X1,esk14_0)
| ~ maps(esk12_0,X6,esk15_0)
| ~ maps(esk13_0,X4,X5)
| ~ member(esk3_4(esk12_0,X6,esk15_0,X1),X4)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[217,74848,theory(equality)]) ).
cnf(75375,negated_conjecture,
( esk10_3(esk12_0,X1,esk15_0) = esk9_3(esk12_0,X1,esk15_0)
| injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk13_0,X3,X4)
| ~ member(esk3_4(esk13_0,X3,X4,esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0))),esk16_0)
| ~ member(esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0)),X3)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk11_3(esk12_0,X1,esk15_0),esk15_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2)
| ~ maps(esk12_0,X1,esk15_0) ),
inference(spm,[status(thm)],[74875,72660,theory(equality)]) ).
cnf(75589,negated_conjecture,
( esk10_3(esk12_0,X1,esk15_0) = esk9_3(esk12_0,X1,esk15_0)
| injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk13_0,X3,X4)
| ~ member(esk3_4(esk13_0,X3,X4,esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0))),esk16_0)
| ~ member(esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0)),X3)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(csr,[status(thm)],[75375,54]) ).
cnf(75590,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk13_0,X3,X4)
| ~ member(esk3_4(esk13_0,X3,X4,esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0))),esk16_0)
| ~ member(esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0)),X3)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(csr,[status(thm)],[75589,51]) ).
cnf(75591,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk13_0,X3,esk16_0)
| ~ member(esk3_4(esk12_0,X2,esk15_0,esk10_3(esk12_0,X1,esk15_0)),X3)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(spm,[status(thm)],[75590,23,theory(equality)]) ).
cnf(75602,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk13_0,esk15_0,esk16_0)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(spm,[status(thm)],[75591,23,theory(equality)]) ).
cnf(75608,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| $false
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(rw,[status(thm)],[75602,69,theory(equality)]) ).
cnf(75609,negated_conjecture,
( injective(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,X2,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ member(esk9_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,X1,esk15_0),X2) ),
inference(cn,[status(thm)],[75608,theory(equality)]) ).
cnf(75610,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ maps(esk12_0,esk14_0,esk15_0)
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,esk14_0,esk15_0),X1) ),
inference(spm,[status(thm)],[75609,55,theory(equality)]) ).
cnf(75611,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| $false
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,esk14_0,esk15_0),X1) ),
inference(rw,[status(thm)],[75610,70,theory(equality)]) ).
cnf(75612,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,X1,esk15_0)
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,esk14_0,esk15_0),X1) ),
inference(cn,[status(thm)],[75611,theory(equality)]) ).
cnf(75613,negated_conjecture,
( ~ maps(esk12_0,X1,esk15_0)
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0)
| ~ member(esk10_3(esk12_0,esk14_0,esk15_0),X1) ),
inference(sr,[status(thm)],[75612,67,theory(equality)]) ).
cnf(75614,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| ~ maps(esk12_0,esk14_0,esk15_0)
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0) ),
inference(spm,[status(thm)],[75613,55,theory(equality)]) ).
cnf(75615,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| $false
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0) ),
inference(rw,[status(thm)],[75614,70,theory(equality)]) ).
cnf(75616,negated_conjecture,
( injective(esk12_0,esk14_0,esk15_0)
| ~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0) ),
inference(cn,[status(thm)],[75615,theory(equality)]) ).
cnf(75617,negated_conjecture,
~ member(esk9_3(esk12_0,esk14_0,esk15_0),esk14_0),
inference(sr,[status(thm)],[75616,67,theory(equality)]) ).
cnf(75622,negated_conjecture,
injective(esk12_0,esk14_0,esk15_0),
inference(spm,[status(thm)],[75617,56,theory(equality)]) ).
cnf(75623,negated_conjecture,
$false,
inference(sr,[status(thm)],[75622,67,theory(equality)]) ).
cnf(75624,negated_conjecture,
$false,
75623,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET721+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmpg_BA4A/sel_SET721+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET721+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET721+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET721+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
%
%------------------------------------------------------------------------------