TSTP Solution File: SET709+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET709+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:17 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 127 ( 27 unt; 0 def)
% Number of atoms : 493 ( 41 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 564 ( 198 ~; 329 |; 29 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-7 aty)
% Number of variables : 361 ( 3 sgn 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII01,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11) )
=> maps(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thII01) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11) )
=> maps(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
inference(assume_negation,[status(cth)],[thII01]) ).
fof(c_0_4,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk6_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk6_4(X9,X10,X11,X12))
| ~ member(X12,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(esk8_3(X9,X10,X11),X10)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk8_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
fof(c_0_5,negated_conjecture,
( maps(esk1_0,esk3_0,esk4_0)
& maps(esk2_0,esk4_0,esk5_0)
& ~ maps(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( apply(X1,X4,esk6_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk11_7(X13,X14,X15,X16,X17,X18,X19),X16)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X14,X18,esk11_7(X13,X14,X15,X16,X17,X18,X19))
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X13,esk11_7(X13,X14,X15,X16,X17,X18,X19),X19)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( ~ member(X21,X16)
| ~ apply(X14,X18,X21)
| ~ apply(X13,X21,X19)
| apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])])]) ).
cnf(c_0_9,plain,
( member(esk6_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( apply(esk1_0,X1,esk6_4(esk1_0,esk3_0,esk4_0,X1))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( apply(X6,X3,esk11_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)],[c_0_8]) ).
cnf(c_0_13,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
maps(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( member(esk6_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_16,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)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( apply(esk1_0,esk8_3(X1,esk3_0,X2),esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk10_3(compose_function(X2,X1,X3,X4,X5),X6,X7)))
| maps(compose_function(X2,X1,X3,X4,X5),X6,X7)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( member(esk11_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)],[c_0_8]) ).
cnf(c_0_20,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)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk2_0,X1,esk6_4(esk2_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( maps(X1,esk3_0,X2)
| member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)),esk4_0)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_23,negated_conjecture,
( X1 = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))
| maps(X2,esk3_0,X3)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| ~ apply(esk1_0,esk8_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X5)
| ~ member(esk8_3(X2,esk3_0,X3),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X6),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X6),esk10_3(compose_function(X2,X1,X3,X4,X5),X3,X6)))
| maps(compose_function(X2,X1,X3,X4,X5),X3,X6)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X6),X3)
| ~ member(esk10_3(compose_function(X2,X1,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_25,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_27,negated_conjecture,
( apply(compose_function(X1,esk1_0,X2,X3,X4),esk8_3(X5,esk3_0,X6),X7)
| maps(X5,esk3_0,X6)
| member(esk7_3(X5,esk3_0,X6),esk3_0)
| ~ apply(X1,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6)),X7)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6)),X3)
| ~ member(esk8_3(X5,esk3_0,X6),X2)
| ~ member(X7,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( member(esk6_4(esk2_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( X1 = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))
| maps(X2,esk3_0,X3)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| ~ apply(esk1_0,esk8_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk8_3(X2,esk3_0,X3),X4)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_31,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk10_3(compose_function(X2,X1,X3,X4,X5),X3,X5)))
| maps(compose_function(X2,X1,X3,X4,X5),X3,X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_33,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_34,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,X2,X3),esk8_3(X4,esk3_0,X5),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5))))
| maps(X4,esk3_0,X5)
| member(esk7_3(X4,esk3_0,X5),esk3_0)
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5))),X3)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5)),X2)
| ~ member(esk8_3(X4,esk3_0,X5),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( maps(X1,esk3_0,X2)
| member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))),esk5_0)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_36,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) = esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk10_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3))
| maps(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk3_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk10_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)),esk4_0)
| ~ member(esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_25]) ).
cnf(c_0_38,plain,
( apply(X5,esk11_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)],[c_0_8]) ).
cnf(c_0_39,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk9_3(compose_function(X2,X1,X3,X4,X5),X6,X7)))
| maps(compose_function(X2,X1,X3,X4,X5),X6,X7)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_12,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,X2,esk5_0),esk8_3(X3,esk3_0,X4),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X3,esk3_0,X4))))
| maps(X3,esk3_0,X4)
| member(esk7_3(X3,esk3_0,X4),esk3_0)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X3,esk3_0,X4)),X2)
| ~ member(esk8_3(X3,esk3_0,X4),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)))
| maps(X2,esk3_0,X3)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| ~ apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,X5)
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))),X5)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_28]) ).
cnf(c_0_42,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk10_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0)
| ~ maps(esk1_0,X3,esk4_0)
| ~ member(esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_13]) ).
cnf(c_0_44,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X6),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X6),esk9_3(compose_function(X2,X1,X3,X4,X5),X3,X6)))
| maps(compose_function(X2,X1,X3,X4,X5),X3,X6)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X6),X3)
| ~ member(esk9_3(compose_function(X2,X1,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_39,c_0_11]) ).
cnf(c_0_45,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk9_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_47,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,esk4_0,esk5_0),esk8_3(X2,esk3_0,X3),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))))
| maps(X2,esk3_0,X3)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| ~ member(esk8_3(X2,esk3_0,X3),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)))
| maps(X2,esk3_0,X3)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| ~ apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,esk5_0)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X4)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_49,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk10_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_11]),c_0_7])]) ).
cnf(c_0_50,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X6))
| maps(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_43,c_0_11]) ).
cnf(c_0_51,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk9_3(compose_function(X2,X1,X3,X4,X5),X3,X5)))
| maps(compose_function(X2,X1,X3,X4,X5),X3,X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_46,c_0_11]) ).
cnf(c_0_53,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_11]) ).
cnf(c_0_54,negated_conjecture,
( X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(X2,esk1_0,esk3_0,esk4_0,X3,esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk10_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)))
| maps(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)
| member(esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk3_0)
| ~ apply(esk2_0,esk11_7(X2,esk1_0,esk3_0,esk4_0,X3,esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk10_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,esk5_0)
| ~ member(esk11_7(X2,esk1_0,esk3_0,esk4_0,X3,esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk10_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)),X4)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk10_3(compose_function(X1,X2,X3,X4,X5),X3,X5))
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_56,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) = esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk9_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3))
| maps(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk3_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk9_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)),esk4_0)
| ~ member(esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_57,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_58,negated_conjecture,
( apply(esk1_0,esk8_3(X1,esk3_0,X2),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_53]),c_0_35]),c_0_11]) ).
cnf(c_0_59,negated_conjecture,
( maps(X1,esk3_0,X2)
| member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))),esk4_0)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_53]),c_0_35]),c_0_11]) ).
cnf(c_0_60,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1))) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| maps(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk3_0)
| ~ maps(esk2_0,X2,esk5_0)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)),X2)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0)
| ~ maps(esk1_0,X3,esk4_0)
| ~ member(esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0)
| ~ maps(esk1_0,X3,esk4_0)
| ~ member(esk8_3(X1,esk3_0,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_58]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1))) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| maps(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk3_0)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_37]),c_0_14])]) ).
cnf(c_0_64,negated_conjecture,
~ maps(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_65,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_11]),c_0_7])]) ).
cnf(c_0_66,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))
| maps(X1,esk3_0,X2)
| member(esk7_3(X1,esk3_0,X2),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_11]),c_0_7])]) ).
cnf(c_0_67,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_25]),c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk10_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)))) = esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]) ).
cnf(c_0_71,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_72,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_64]) ).
cnf(c_0_73,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X6))
| maps(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_71,c_0_11]) ).
cnf(c_0_74,negated_conjecture,
( maps(compose_function(X1,X2,X3,esk4_0,X4),X3,X4)
| member(esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(X1,X2,X3,esk4_0,X4,esk8_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),esk10_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4))),esk5_0)
| member(esk7_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_75,negated_conjecture,
( X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| ~ apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X1)
| ~ maps(esk2_0,X2,esk5_0)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_72]),c_0_64]) ).
cnf(c_0_76,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk9_3(compose_function(X1,X2,X3,X4,X5),X3,X5))
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_45]) ).
cnf(c_0_77,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_67]),c_0_64]) ).
cnf(c_0_78,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| ~ maps(esk2_0,X1,esk5_0)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X1)
| ~ member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_77]),c_0_64]) ).
cnf(c_0_80,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| ~ maps(esk2_0,X1,esk5_0)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_45]),c_0_64]) ).
cnf(c_0_81,negated_conjecture,
( member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_64]) ).
cnf(c_0_82,negated_conjecture,
( esk6_4(esk2_0,esk4_0,esk5_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_14])]) ).
cnf(c_0_83,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_84,negated_conjecture,
( esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_64]) ).
cnf(c_0_86,negated_conjecture,
apply(esk1_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),
inference(spm,[status(thm)],[c_0_10,c_0_85]) ).
cnf(c_0_87,negated_conjecture,
member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0),
inference(spm,[status(thm)],[c_0_15,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( apply(compose_function(X1,esk1_0,X2,X3,X4),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X5)
| ~ apply(X1,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X5)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X3)
| ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2)
| ~ member(X5,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))),
inference(spm,[status(thm)],[c_0_21,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,X2,X3),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))))
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),X3)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_91,negated_conjecture,
member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),esk5_0),
inference(spm,[status(thm)],[c_0_29,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,X2,esk5_0),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))))
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_93,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,esk4_0,esk5_0),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))))
| ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_94,plain,
( maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X2)
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_95,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))),
inference(spm,[status(thm)],[c_0_93,c_0_85]) ).
cnf(c_0_96,negated_conjecture,
member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_97,negated_conjecture,
apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),
inference(spm,[status(thm)],[c_0_10,c_0_96]) ).
cnf(c_0_98,plain,
( maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_99,plain,
( maps(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_100,negated_conjecture,
( X1 = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X3)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0),
inference(spm,[status(thm)],[c_0_15,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_103,negated_conjecture,
member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_104,negated_conjecture,
( X1 = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_102]),c_0_96]),c_0_103])]) ).
cnf(c_0_106,negated_conjecture,
member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_102]),c_0_96]),c_0_103])]) ).
cnf(c_0_107,negated_conjecture,
( esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
cnf(c_0_108,plain,
( maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_109,plain,
( maps(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_110,negated_conjecture,
esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_96]),c_0_7])]) ).
cnf(c_0_111,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_112,negated_conjecture,
member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_113,negated_conjecture,
( X1 = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2)
| ~ member(X1,esk4_0) ),
inference(rw,[status(thm)],[c_0_104,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_111]),c_0_96]),c_0_112])]) ).
cnf(c_0_115,negated_conjecture,
member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_111]),c_0_96]),c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
( esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).
cnf(c_0_117,negated_conjecture,
apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_111]),c_0_96]),c_0_112])]) ).
cnf(c_0_118,negated_conjecture,
apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_102]),c_0_96]),c_0_103])]) ).
cnf(c_0_119,negated_conjecture,
esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_96]),c_0_7])]) ).
cnf(c_0_120,plain,
( maps(X1,X2,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_121,negated_conjecture,
( X1 = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| ~ apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X1)
| ~ maps(esk2_0,X2,X3)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(rw,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) != esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_95]),c_0_91])]),c_0_64]) ).
cnf(c_0_124,negated_conjecture,
( ~ maps(esk2_0,X1,X2)
| ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X1)
| ~ member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_125,negated_conjecture,
( ~ maps(esk2_0,esk4_0,X1)
| ~ member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_115]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_112]),c_0_14]),c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET709+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 01:48:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/1.44 # Preprocessing time : 0.016 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 127
% 0.26/1.44 # Proof object clause steps : 120
% 0.26/1.44 # Proof object formula steps : 7
% 0.26/1.44 # Proof object conjectures : 86
% 0.26/1.44 # Proof object clause conjectures : 83
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 22
% 0.26/1.44 # Proof object initial formulas used : 3
% 0.26/1.44 # Proof object generating inferences : 96
% 0.26/1.44 # Proof object simplifying inferences : 75
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 29
% 0.26/1.44 # Removed by relevancy pruning/SinE : 26
% 0.26/1.44 # Initial clauses : 22
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 22
% 0.26/1.44 # Processed clauses : 426
% 0.26/1.44 # ...of these trivial : 0
% 0.26/1.44 # ...subsumed : 60
% 0.26/1.44 # ...remaining for further processing : 366
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 24
% 0.26/1.44 # Backward-rewritten : 40
% 0.26/1.44 # Generated clauses : 804
% 0.26/1.44 # ...of the previous two non-trivial : 651
% 0.26/1.44 # Contextual simplify-reflections : 68
% 0.26/1.44 # Paramodulations : 804
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 302
% 0.26/1.44 # Positive orientable unit clauses : 22
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 2
% 0.26/1.44 # Non-unit-clauses : 278
% 0.26/1.44 # Current number of unprocessed clauses: 154
% 0.26/1.44 # ...number of literals in the above : 906
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 64
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 17180
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 1053
% 0.26/1.44 # Non-unit clause-clause subsumptions : 149
% 0.26/1.44 # Unit Clause-clause subsumption calls : 851
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 288
% 0.26/1.44 # BW rewrite match successes : 4
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 66891
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.099 s
% 0.26/1.44 # System time : 0.008 s
% 0.26/1.44 # Total time : 0.107 s
% 0.26/1.44 # Maximum resident set size: 4668 pages
% 0.29/23.43 eprover: CPU time limit exceeded, terminating
% 0.29/23.44 eprover: CPU time limit exceeded, terminating
% 0.29/23.44 eprover: CPU time limit exceeded, terminating
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------