TSTP Solution File: SET710+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET710+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 1.00s 117.16s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 164 ( 10 unt; 0 def)
% Number of atoms : 671 ( 92 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 818 ( 311 ~; 455 |; 41 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-7 aty)
% Number of variables : 687 ( 7 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(equal_maps,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',equal_maps) ).
fof(thII02,conjecture,
! [X6,X10,X9,X1,X2,X11,X17] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X17) )
=> equal_maps(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X17),compose_function(compose_function(X9,X10,X2,X11,X17),X6,X1,X2,X17),X1,X17) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII02) ).
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_4,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk12_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk12_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(esk14_3(X9,X10,X11),X10)
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk15_3(X9,X10,X11),X11)
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk16_3(X9,X10,X11),X11)
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk14_3(X9,X10,X11),esk15_3(X9,X10,X11))
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk14_3(X9,X10,X11),esk16_3(X9,X10,X11))
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk15_3(X9,X10,X11) != esk16_3(X9,X10,X11)
| member(esk13_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk14_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk13_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk15_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk13_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk16_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk13_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk14_3(X9,X10,X11),esk15_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk13_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk14_3(X9,X10,X11),esk16_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk13_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk15_3(X9,X10,X11) != esk16_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk13_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,plain,
! [X11,X12,X13,X14,X15,X16,X17,X11,X12,X13,X14] :
( ( ~ equal_maps(X11,X12,X13,X14)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ member(X17,X14)
| ~ apply(X11,X15,X16)
| ~ apply(X12,X15,X17)
| X16 = X17 )
& ( member(esk8_4(X11,X12,X13,X14),X13)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk9_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk10_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( apply(X11,esk8_4(X11,X12,X13,X14),esk9_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( apply(X12,esk8_4(X11,X12,X13,X14),esk10_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( esk9_4(X11,X12,X13,X14) != esk10_4(X11,X12,X13,X14)
| equal_maps(X11,X12,X13,X14) ) ),
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)],[equal_maps])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11,X17] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X17) )
=> equal_maps(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X17),compose_function(compose_function(X9,X10,X2,X11,X17),X6,X1,X2,X17),X1,X17) ),
inference(assume_negation,[status(cth)],[thII02]) ).
cnf(c_0_7,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_8,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk8_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk3_0,esk6_0,esk7_0)
& ~ equal_maps(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( X1 = esk10_4(X2,X3,X4,X5)
| equal_maps(X2,X3,X4,X5)
| ~ apply(X3,esk8_4(X2,X3,X4,X5),X1)
| ~ maps(X3,X6,X7)
| ~ member(esk8_4(X2,X3,X4,X5),X6)
| ~ member(esk10_4(X2,X3,X4,X5),X7)
| ~ member(X1,X7) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk8_4(X1,X2,X3,X4),esk9_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( apply(X1,X4,esk12_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,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_15,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( esk10_4(X1,X1,X2,X3) = esk9_4(X1,X1,X2,X3)
| equal_maps(X1,X1,X2,X3)
| ~ maps(X1,X4,X5)
| ~ member(esk8_4(X1,X1,X2,X3),X4)
| ~ member(esk10_4(X1,X1,X2,X3),X5)
| ~ member(esk9_4(X1,X1,X2,X3),X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk8_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( apply(esk2_0,X1,esk12_4(esk2_0,esk5_0,esk6_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( member(esk12_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk1_0,X1,esk12_4(esk1_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_22,plain,
( esk10_4(X1,X1,X2,X3) = esk9_4(X1,X1,X2,X3)
| equal_maps(X1,X1,X2,X3)
| ~ maps(X1,X2,X4)
| ~ member(esk10_4(X1,X1,X2,X3),X4)
| ~ member(esk9_4(X1,X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( equal_maps(X1,X2,esk5_0,X3)
| apply(esk2_0,esk8_4(X1,X2,esk5_0,X3),esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,X2,esk5_0,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( member(esk12_4(esk2_0,esk5_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_26,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)
| apply(X3,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)))
| ~ member(esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X4)
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X6) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_27,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_14]) ).
cnf(c_0_28,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(esk1_0,esk8_4(X1,X2,esk4_0,X3),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))) ),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_29,negated_conjecture,
( member(esk12_4(esk1_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_30,plain,
( esk10_4(X1,X1,X2,X3) = esk9_4(X1,X1,X2,X3)
| equal_maps(X1,X1,X2,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk9_4(X1,X1,X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk9_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4))
| equal_maps(X2,X3,esk5_0,X4)
| ~ apply(esk2_0,esk8_4(X2,X3,esk5_0,X4),X1)
| ~ maps(esk2_0,X5,X6)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)),X6)
| ~ member(esk8_4(X2,X3,esk5_0,X4),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( equal_maps(X1,X2,esk5_0,X3)
| member(esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,X2,esk5_0,X3)),esk6_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_34,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)
| apply(X3,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)))
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),X6) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_35,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)
| member(esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)),X5)
| ~ member(esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X4)
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_8]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4))
| equal_maps(X2,X3,esk4_0,X4)
| ~ apply(esk1_0,esk8_4(X2,X3,esk4_0,X4),X1)
| ~ maps(esk1_0,X5,X6)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)),X6)
| ~ member(esk8_4(X2,X3,esk4_0,X4),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_7,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk5_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_38,plain,
( esk10_4(X1,X1,X2,X3) = esk9_4(X1,X1,X2,X3)
| equal_maps(X1,X1,X2,X3)
| ~ maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
maps(esk3_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4))
| equal_maps(X2,X3,esk5_0,X4)
| ~ apply(esk2_0,esk8_4(X2,X3,esk5_0,X4),X1)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk8_4(X2,X3,esk5_0,X4),X5)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)
| apply(X3,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6),esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6))) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_42,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)
| member(esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)),X5)
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_17]) ).
cnf(c_0_43,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)
| apply(X2,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)))
| ~ member(esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X3)
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( X1 = esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4))
| equal_maps(X2,X3,esk4_0,X4)
| ~ apply(esk1_0,esk8_4(X2,X3,esk4_0,X4),X1)
| ~ maps(esk1_0,X5,esk5_0)
| ~ member(esk8_4(X2,X3,esk4_0,X4),X5)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,plain,
( equal_maps(X1,X2,X3,X4)
| esk9_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_46,negated_conjecture,
( esk10_4(esk3_0,esk3_0,esk6_0,esk7_0) = esk9_4(esk3_0,esk3_0,esk6_0,esk7_0)
| equal_maps(esk3_0,esk3_0,esk6_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4)) = esk11_7(X2,esk2_0,esk5_0,X3,X4,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4),esk10_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4))
| equal_maps(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk11_7(X2,esk2_0,esk5_0,X3,X4,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4),esk10_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4)),esk6_0)
| ~ member(esk8_4(X1,compose_function(X2,esk2_0,esk5_0,X3,X4),esk5_0,X4),X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)
| member(esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)),X5) ),
inference(spm,[status(thm)],[c_0_42,c_0_23]) ).
cnf(c_0_49,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)
| apply(X2,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)))
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),X5) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_50,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)),X4)
| ~ member(esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X3)
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X5) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_51,negated_conjecture,
( esk10_4(esk2_0,esk2_0,esk5_0,esk6_0) = esk9_4(esk2_0,esk2_0,esk5_0,esk6_0)
| equal_maps(esk2_0,esk2_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4)) = esk11_7(X2,esk1_0,esk4_0,X3,X4,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4),esk10_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4))
| equal_maps(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4)
| ~ maps(esk1_0,X5,esk5_0)
| ~ member(esk11_7(X2,esk1_0,esk4_0,X3,X4,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4),esk10_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4)),esk5_0)
| ~ member(esk8_4(X1,compose_function(X2,esk1_0,esk4_0,X3,X4),esk4_0,X4),X5) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_53,plain,
( X1 = X2
| ~ apply(X3,X4,X2)
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,negated_conjecture,
equal_maps(esk3_0,esk3_0,esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( apply(esk3_0,X1,esk12_4(esk3_0,esk6_0,esk7_0,X1))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_56,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_14]) ).
cnf(c_0_57,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)) = esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3))
| equal_maps(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)
| ~ maps(esk2_0,X4,esk6_0)
| ~ member(esk8_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)
| apply(X2,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5),esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5))) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_59,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)),X4)
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),X5) ),
inference(spm,[status(thm)],[c_0_50,c_0_17]) ).
cnf(c_0_60,negated_conjecture,
equal_maps(esk2_0,esk2_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_45,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)) = esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3))
| equal_maps(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)
| ~ maps(esk1_0,X4,esk5_0)
| ~ member(esk8_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( X1 = X2
| ~ apply(esk3_0,X3,X1)
| ~ apply(esk3_0,X3,X2)
| ~ member(X3,esk6_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( equal_maps(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5)
| apply(esk3_0,esk11_7(X2,X3,X4,esk6_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5)),esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X2,X3,X4,esk6_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_64,negated_conjecture,
( member(esk12_4(esk3_0,esk6_0,esk7_0,X1),esk7_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_65,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)
| apply(X2,esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8)),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8))
| ~ member(esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X4)
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X7,X8),X6) ),
inference(spm,[status(thm)],[c_0_56,c_0_8]) ).
cnf(c_0_66,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)) = esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3))
| equal_maps(X1,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_17]),c_0_13])]) ).
cnf(c_0_67,negated_conjecture,
( equal_maps(X1,X2,esk5_0,X3)
| apply(esk3_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,X2,esk5_0,X3)),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,X2,esk5_0,X3)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_33]) ).
cnf(c_0_68,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3)) = esk11_7(X1,esk2_0,esk5_0,X2,X3,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3),esk9_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3))
| equal_maps(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk11_7(X1,esk2_0,esk5_0,X2,X3,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3),esk9_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3)),esk6_0)
| ~ member(esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),X4,esk5_0,X3),X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_58]) ).
cnf(c_0_69,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)),X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_70,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X1)
| ~ apply(esk2_0,X3,X2)
| ~ member(X3,esk5_0)
| ~ member(X2,esk6_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( equal_maps(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5)
| apply(esk2_0,esk11_7(X2,X3,X4,esk5_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5)),esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X2,X3,X4,esk5_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_48]) ).
cnf(c_0_72,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)) = esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3))
| equal_maps(X1,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_17]),c_0_15])]) ).
cnf(c_0_73,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(esk2_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_37]) ).
cnf(c_0_74,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3)) = esk11_7(X1,esk1_0,esk4_0,X2,X3,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3),esk9_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3))
| equal_maps(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3)
| ~ maps(esk1_0,X5,esk5_0)
| ~ member(esk11_7(X1,esk1_0,esk4_0,X2,X3,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3),esk9_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3)),esk5_0)
| ~ member(esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),X4,esk4_0,X3),X5) ),
inference(spm,[status(thm)],[c_0_44,c_0_58]) ).
cnf(c_0_75,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4))) = X6
| equal_maps(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)
| ~ apply(esk3_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)),X6)
| ~ member(esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4))),esk7_0)
| ~ member(esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)),esk6_0)
| ~ member(X6,esk7_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_76,negated_conjecture,
( equal_maps(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5)
| member(esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X2,X3,X4,esk6_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk6_0,X5),X4,X5))),esk7_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_77,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)
| apply(X2,esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7)),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7))
| ~ member(esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X7),X6) ),
inference(spm,[status(thm)],[c_0_65,c_0_17]) ).
cnf(c_0_78,negated_conjecture,
( X1 = esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3))
| equal_maps(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)
| ~ apply(esk2_0,esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X1)
| ~ maps(esk2_0,X5,X6)
| ~ member(esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)),X6)
| ~ member(esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_32,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
( X1 = esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)))
| equal_maps(X2,X3,esk5_0,X4)
| ~ apply(esk3_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)),X1)
| ~ maps(esk3_0,X5,X6)
| ~ member(esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4))),X6)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_7,c_0_67]) ).
cnf(c_0_80,negated_conjecture,
( equal_maps(X1,X2,esk5_0,X3)
| member(esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X1,X2,esk5_0,X3))),esk7_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_33]) ).
cnf(c_0_81,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2)) = esk11_7(X1,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2),esk9_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2))
| equal_maps(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2)
| ~ maps(esk2_0,X4,esk6_0)
| ~ member(esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_82,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)
| apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8)),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8))
| ~ member(esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X3)
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X5) ),
inference(spm,[status(thm)],[c_0_56,c_0_11]) ).
cnf(c_0_83,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4))) = X6
| equal_maps(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)
| ~ apply(esk2_0,esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)),X6)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4))),esk6_0)
| ~ member(esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)),esk5_0)
| ~ member(X6,esk6_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_84,negated_conjecture,
( equal_maps(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5)
| member(esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X2,X3,X4,esk5_0,X5,esk8_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5),esk10_4(X1,compose_function(X2,X3,X4,esk5_0,X5),X4,X5))),esk6_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_85,negated_conjecture,
( X1 = esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3))
| equal_maps(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)
| ~ apply(esk1_0,esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X1)
| ~ maps(esk1_0,X5,X6)
| ~ member(esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)),X6)
| ~ member(esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_36,c_0_72]) ).
cnf(c_0_86,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)))
| equal_maps(X2,X3,esk4_0,X4)
| ~ apply(esk2_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)),X1)
| ~ maps(esk2_0,X5,X6)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4))),X6)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_7,c_0_73]) ).
cnf(c_0_87,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),esk6_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_88,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2)) = esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2),esk9_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2))
| equal_maps(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2)
| ~ maps(esk1_0,X4,esk5_0)
| ~ member(esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_74,c_0_69]) ).
cnf(c_0_89,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4))) = X6
| equal_maps(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)
| ~ apply(esk3_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)),X6)
| ~ member(esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk6_0,X4),X3,X4)),esk6_0)
| ~ member(X6,esk7_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_90,plain,
( equal_maps(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)
| apply(X2,esk11_7(X2,X3,X4,X5,X6,esk8_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)),esk10_4(X1,compose_function(X2,X3,X4,X5,X6),X4,X6)) ),
inference(spm,[status(thm)],[c_0_77,c_0_23]) ).
cnf(c_0_91,negated_conjecture,
( X1 = esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3))
| equal_maps(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)
| ~ apply(esk2_0,esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X1)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk8_4(X4,compose_function(X2,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X5)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_48]) ).
cnf(c_0_92,negated_conjecture,
( X1 = esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)))
| equal_maps(X2,X3,esk5_0,X4)
| ~ apply(esk3_0,esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)),X1)
| ~ maps(esk3_0,X5,esk7_0)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(X2,X3,esk5_0,X4)),X5)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_93,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2)) = esk11_7(X1,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2),esk9_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2))
| equal_maps(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),X3,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_17]),c_0_13])]) ).
cnf(c_0_94,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)
| apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7)),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7))
| ~ member(esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X7),X5) ),
inference(spm,[status(thm)],[c_0_82,c_0_17]) ).
cnf(c_0_95,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4))) = X6
| equal_maps(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)
| ~ apply(esk2_0,esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)),X6)
| ~ member(esk11_7(X1,X2,X3,esk5_0,X4,esk8_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4),esk10_4(X5,compose_function(X1,X2,X3,esk5_0,X4),X3,X4)),esk5_0)
| ~ member(X6,esk6_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( X1 = esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3))
| equal_maps(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)
| ~ apply(esk1_0,esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X1)
| ~ maps(esk1_0,X5,esk5_0)
| ~ member(esk8_4(X4,compose_function(X2,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X5)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_48]) ).
cnf(c_0_97,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)))
| equal_maps(X2,X3,esk4_0,X4)
| ~ apply(esk2_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)),X1)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X2,X3,esk4_0,X4)),X5)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2)) = esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2),esk9_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2))
| equal_maps(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),X3,esk4_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_17]),c_0_15])]) ).
cnf(c_0_99,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3),esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3))) = esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3)
| equal_maps(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3)
| ~ member(esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3),esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3)),esk6_0)
| ~ member(esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3),esk7_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
( esk11_7(X1,esk2_0,esk5_0,X2,X3,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk9_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)) = esk11_7(X4,esk2_0,esk5_0,esk6_0,X3,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk10_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3))
| equal_maps(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk11_7(X1,esk2_0,esk5_0,X2,X3,esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),esk9_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3)),esk6_0)
| ~ member(esk8_4(compose_function(X1,esk2_0,esk5_0,X2,X3),compose_function(X4,esk2_0,esk5_0,esk6_0,X3),esk5_0,X3),X5) ),
inference(spm,[status(thm)],[c_0_91,c_0_58]) ).
cnf(c_0_101,negated_conjecture,
( X1 = esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3),esk9_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3)))
| equal_maps(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3)
| ~ apply(esk3_0,esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3),esk9_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3)),X1)
| ~ maps(esk3_0,X5,esk7_0)
| ~ member(esk11_7(X2,esk2_0,esk5_0,esk6_0,X3,esk8_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3),esk9_4(compose_function(X2,esk2_0,esk5_0,esk6_0,X3),X4,esk5_0,X3)),X5)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,plain,
( equal_maps(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)
| apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)),esk9_4(compose_function(X1,X2,X3,X4,X5),X6,X3,X5)) ),
inference(spm,[status(thm)],[c_0_94,c_0_31]) ).
cnf(c_0_103,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,X1,X2,esk5_0,X3,esk8_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3),esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3))) = esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3)
| equal_maps(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3)
| ~ member(esk11_7(esk2_0,X1,X2,esk5_0,X3,esk8_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3),esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3)),esk5_0)
| ~ member(esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3),esk6_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_90]) ).
cnf(c_0_104,negated_conjecture,
( esk11_7(X1,esk1_0,esk4_0,X2,X3,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk9_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)) = esk11_7(X4,esk1_0,esk4_0,esk5_0,X3,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk10_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3))
| equal_maps(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)
| ~ maps(esk1_0,X5,esk5_0)
| ~ member(esk11_7(X1,esk1_0,esk4_0,X2,X3,esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),esk9_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3)),esk5_0)
| ~ member(esk8_4(compose_function(X1,esk1_0,esk4_0,X2,X3),compose_function(X4,esk1_0,esk4_0,esk5_0,X3),esk4_0,X3),X5) ),
inference(spm,[status(thm)],[c_0_96,c_0_58]) ).
cnf(c_0_105,negated_conjecture,
( X1 = esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3),esk9_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3)))
| equal_maps(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3)
| ~ apply(esk2_0,esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3),esk9_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3)),X1)
| ~ maps(esk2_0,X5,esk6_0)
| ~ member(esk11_7(X2,esk1_0,esk4_0,esk5_0,X3,esk8_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3),esk9_4(compose_function(X2,esk1_0,esk4_0,esk5_0,X3),X4,esk4_0,X3)),X5)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3),esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3))) = esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3)
| equal_maps(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3)
| ~ member(esk10_4(X4,compose_function(esk3_0,X1,X2,esk6_0,X3),X2,X3),esk7_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_48]) ).
cnf(c_0_107,negated_conjecture,
( esk11_7(X1,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2),esk9_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2)) = esk11_7(X3,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2),esk10_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2))
| equal_maps(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2)
| ~ maps(esk2_0,X4,esk6_0)
| ~ member(esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_100,c_0_69]) ).
cnf(c_0_108,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,X1,esk8_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1),esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1))) = esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1)
| equal_maps(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1)
| ~ maps(esk3_0,X3,esk7_0)
| ~ member(esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,X1,esk8_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1),esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1)),X3)
| ~ member(esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1),esk7_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,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_14]) ).
cnf(c_0_110,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,X1,X2,esk5_0,X3,esk8_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3),esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3))) = esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3)
| equal_maps(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3)
| ~ member(esk10_4(X4,compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X3),esk6_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_48]) ).
cnf(c_0_111,negated_conjecture,
( esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk9_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)) = esk11_7(X3,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2))
| equal_maps(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)
| ~ maps(esk1_0,X4,esk5_0)
| ~ member(esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_104,c_0_69]) ).
cnf(c_0_112,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,X1,esk8_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1),esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1))) = esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1)
| equal_maps(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1)
| ~ maps(esk2_0,X3,esk6_0)
| ~ member(esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,X1,esk8_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1),esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1)),X3)
| ~ member(esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1),esk6_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_102]) ).
cnf(c_0_113,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,esk7_0,esk8_4(X3,compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X2,esk7_0),esk10_4(X3,compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X2,esk7_0))) = esk10_4(X3,compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X2,esk7_0)
| equal_maps(X3,compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_23]) ).
cnf(c_0_114,negated_conjecture,
( esk11_7(X1,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2),esk9_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2)) = esk11_7(X3,esk2_0,esk5_0,esk6_0,X2,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2),esk10_4(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2))
| equal_maps(compose_function(X1,esk2_0,esk5_0,esk6_0,X2),compose_function(X3,esk2_0,esk5_0,esk6_0,X2),esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_17]),c_0_13])]) ).
cnf(c_0_115,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,X1,esk8_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1),esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1))) = esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1)
| equal_maps(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1)
| ~ member(esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,X1),X2,esk5_0,X1),esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_69]),c_0_39])]) ).
cnf(c_0_116,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(X4,esk2_0,X5,X6,X7),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X8)
| ~ apply(X4,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),X8)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),X6)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_109,c_0_73]) ).
cnf(c_0_117,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(esk3_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))))) ),
inference(spm,[status(thm)],[c_0_55,c_0_87]) ).
cnf(c_0_118,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,X1,X2,esk5_0,esk6_0,esk8_4(X3,compose_function(esk2_0,X1,X2,esk5_0,esk6_0),X2,esk6_0),esk10_4(X3,compose_function(esk2_0,X1,X2,esk5_0,esk6_0),X2,esk6_0))) = esk10_4(X3,compose_function(esk2_0,X1,X2,esk5_0,esk6_0),X2,esk6_0)
| equal_maps(X3,compose_function(esk2_0,X1,X2,esk5_0,esk6_0),X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_23]) ).
cnf(c_0_119,negated_conjecture,
( esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk9_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)) = esk11_7(X3,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2))
| equal_maps(compose_function(X1,esk1_0,esk4_0,esk5_0,X2),compose_function(X3,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_17]),c_0_15])]) ).
cnf(c_0_120,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,X1,esk8_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1),esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1))) = esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1)
| equal_maps(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1)
| ~ member(esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),X2,esk4_0,X1),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_69]),c_0_13])]) ).
cnf(c_0_121,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(X4,esk1_0,X5,X6,X7),esk8_4(X1,X2,esk4_0,X3),X8)
| ~ apply(X4,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X8)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X6)
| ~ member(esk8_4(X1,X2,esk4_0,X3),X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_109,c_0_28]) ).
cnf(c_0_122,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,esk2_0,esk5_0,esk6_0,esk7_0,esk8_4(compose_function(X1,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0),esk9_4(compose_function(X1,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0))) = esk10_4(compose_function(X1,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0)
| equal_maps(compose_function(X1,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0) ),
inference(pm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0,esk8_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X1,esk5_0,esk7_0),esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X1,esk5_0,esk7_0))) = esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X1,esk5_0,esk7_0)
| equal_maps(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X1,esk5_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_31]) ).
cnf(c_0_124,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk3_0,esk2_0,X4,X5,X6),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))))
| ~ member(esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))),X6)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),X5)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X4) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_125,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| member(esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))),esk7_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_87]) ).
cnf(c_0_126,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,esk1_0,esk4_0,esk5_0,esk6_0,esk8_4(compose_function(X1,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),esk9_4(compose_function(X1,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0))) = esk10_4(compose_function(X1,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
| equal_maps(compose_function(X1,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0) ),
inference(pm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0,esk8_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk4_0,esk6_0),esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk4_0,esk6_0))) = esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk4_0,esk6_0)
| equal_maps(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_31]) ).
cnf(c_0_128,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk2_0,esk1_0,X4,X5,X6),esk8_4(X1,X2,esk4_0,X3),esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))))
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),X6)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X5)
| ~ member(esk8_4(X1,X2,esk4_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_121,c_0_73]) ).
cnf(c_0_129,negated_conjecture,
( esk10_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0) = esk9_4(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0)
| equal_maps(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk3_0,esk2_0,X4,X5,esk7_0),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))))
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),X5)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X4) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
( esk10_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0) = esk9_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
| equal_maps(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk2_0,esk1_0,X4,X5,esk6_0),esk8_4(X1,X2,esk4_0,X3),esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))))
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X5)
| ~ member(esk8_4(X1,X2,esk4_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_128,c_0_87]) ).
cnf(c_0_133,negated_conjecture,
equal_maps(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk5_0,esk7_0),
inference(spm,[status(thm)],[c_0_45,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk3_0,esk2_0,X4,esk6_0,esk7_0),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))))
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X4) ),
inference(spm,[status(thm)],[c_0_130,c_0_87]) ).
cnf(c_0_135,negated_conjecture,
equal_maps(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_45,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk2_0,esk1_0,X4,esk5_0,esk6_0),esk8_4(X1,X2,esk4_0,X3),esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))))
| ~ member(esk8_4(X1,X2,esk4_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_132,c_0_37]) ).
cnf(c_0_137,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X3,X1)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),X3,X2)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))))) ),
inference(spm,[status(thm)],[c_0_134,c_0_37]) ).
cnf(c_0_139,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X3,X1)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X3,X2)
| ~ member(X3,esk4_0)
| ~ member(X2,esk6_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
( equal_maps(X1,X2,esk4_0,X3)
| apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk8_4(X1,X2,esk4_0,X3),esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))) ),
inference(spm,[status(thm)],[c_0_136,c_0_17]) ).
cnf(c_0_141,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))) = X4
| equal_maps(X1,X2,esk4_0,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X4)
| ~ member(esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))),esk7_0)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk5_0)
| ~ member(X4,esk7_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))) = X4
| equal_maps(X1,X2,esk4_0,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk8_4(X1,X2,esk4_0,X3),X4)
| ~ member(esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))),esk6_0)
| ~ member(esk8_4(X1,X2,esk4_0,X3),esk4_0)
| ~ member(X4,esk6_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)))) = X4
| equal_maps(X1,X2,esk4_0,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),X4)
| ~ member(esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3)),esk5_0)
| ~ member(X4,esk7_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_125]) ).
cnf(c_0_144,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(X1,X2,esk4_0,X3))) = X4
| equal_maps(X1,X2,esk4_0,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk8_4(X1,X2,esk4_0,X3),X4)
| ~ member(esk8_4(X1,X2,esk4_0,X3),esk4_0)
| ~ member(X4,esk6_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_87]) ).
cnf(c_0_145,negated_conjecture,
( esk9_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4) = X6
| equal_maps(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4)
| ~ apply(esk3_0,esk11_7(esk3_0,X1,X2,X3,X4,esk8_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4),esk9_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4)),X6)
| ~ member(esk11_7(esk3_0,X1,X2,X3,X4,esk8_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4),esk9_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4)),esk6_0)
| ~ member(esk9_4(compose_function(esk3_0,X1,X2,X3,X4),X5,X2,X4),esk7_0)
| ~ member(X6,esk7_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_102]) ).
cnf(c_0_146,negated_conjecture,
( equal_maps(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4)
| apply(esk3_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4),esk9_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4)),esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4),esk9_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_69]) ).
cnf(c_0_147,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)))) = X4
| equal_maps(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)),X4)
| ~ member(esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(X3,compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2)),esk5_0)
| ~ member(X4,esk7_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_72]) ).
cnf(c_0_148,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3))) = esk11_7(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3),esk9_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3))
| equal_maps(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3)
| ~ member(esk11_7(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3),esk9_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3)),esk6_0)
| ~ member(esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3),X4,esk4_0,X3),esk4_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_58]) ).
cnf(c_0_149,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3))) = esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| equal_maps(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| ~ member(esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3))),esk7_0)
| ~ member(esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)),esk6_0)
| ~ member(esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk7_0) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
( equal_maps(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4)
| member(esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,X2,X3,esk6_0,X4,esk8_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4),esk9_4(compose_function(X1,X2,X3,esk6_0,X4),X5,X3,X4))),esk7_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_151,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1,esk8_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1),esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)))) = esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)
| equal_maps(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)
| ~ member(esk11_7(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1,esk8_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1),esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)),esk5_0)
| ~ member(esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1),esk7_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_90]) ).
cnf(c_0_152,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2))) = esk11_7(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2),esk9_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2))
| equal_maps(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2)
| ~ member(esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_69]) ).
cnf(c_0_153,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3))) = esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| equal_maps(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| ~ member(esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)),esk6_0)
| ~ member(esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk7_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_154,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1,esk8_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1),esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)))) = esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)
| equal_maps(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1)
| ~ member(esk10_4(X2,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,X1),esk4_0,X1),esk7_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_48]) ).
cnf(c_0_155,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk12_4(esk1_0,esk4_0,esk5_0,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2))) = esk11_7(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2),esk9_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2))
| equal_maps(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),X3,esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_17]) ).
cnf(c_0_156,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,X3,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3))) = esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| equal_maps(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3)
| ~ member(esk9_4(compose_function(esk3_0,X1,X2,esk6_0,X3),X4,X2,X3),esk7_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_69]) ).
cnf(c_0_157,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0,esk8_4(X1,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0),esk10_4(X1,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0)))) = esk10_4(X1,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0)
| equal_maps(X1,compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_23]) ).
cnf(c_0_158,negated_conjecture,
( esk12_4(esk2_0,esk5_0,esk6_0,esk11_7(X1,esk1_0,esk4_0,esk5_0,X2,esk8_4(compose_function(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk10_4(compose_function(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2))) = esk11_7(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2,esk8_4(compose_function(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2),esk9_4(compose_function(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2))
| equal_maps(compose_function(X3,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,X2),compose_function(X1,esk1_0,esk4_0,esk5_0,X2),esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_72]) ).
cnf(c_0_159,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(esk3_0,X1,X2,esk6_0,esk7_0,esk8_4(compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X3,X2,esk7_0),esk9_4(compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X3,X2,esk7_0))) = esk9_4(compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X3,X2,esk7_0)
| equal_maps(compose_function(esk3_0,X1,X2,esk6_0,esk7_0),X3,X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_31]) ).
cnf(c_0_160,negated_conjecture,
( esk12_4(esk3_0,esk6_0,esk7_0,esk11_7(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0,esk8_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0),esk9_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0))) = esk10_4(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0)
| equal_maps(compose_function(X1,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,negated_conjecture,
~ equal_maps(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_162,negated_conjecture,
esk10_4(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0) = esk9_4(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk7_0),compose_function(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk7_0),esk1_0,esk4_0,esk5_0,esk7_0),esk4_0,esk7_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
cnf(c_0_163,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_162]),c_0_161]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET710+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 03:18:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.40/23.42 eprover: CPU time limit exceeded, terminating
% 0.40/23.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.40/23.43
% 0.40/23.44 eprover: CPU time limit exceeded, terminating
% 0.53/46.45 eprover: CPU time limit exceeded, terminating
% 0.53/46.46 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.53/46.46
% 0.53/46.47 eprover: CPU time limit exceeded, terminating
% 0.69/69.47 eprover: CPU time limit exceeded, terminating
% 0.69/69.47 eprover: CPU time limit exceeded, terminating
% 0.69/69.49 eprover: CPU time limit exceeded, terminating
% 0.69/69.50 eprover: CPU time limit exceeded, terminating
% 0.83/92.49 eprover: CPU time limit exceeded, terminating
% 0.83/92.51 eprover: CPU time limit exceeded, terminating
% 0.83/92.52 eprover: CPU time limit exceeded, terminating
% 0.83/92.53 eprover: CPU time limit exceeded, terminating
% 0.99/115.51 eprover: CPU time limit exceeded, terminating
% 0.99/115.54 eprover: CPU time limit exceeded, terminating
% 0.99/115.55 eprover: CPU time limit exceeded, terminating
% 0.99/115.57 eprover: CPU time limit exceeded, terminating
% 1.00/117.16 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.00/117.16
% 1.00/117.16 # Failure: Resource limit exceeded (time)
% 1.00/117.16 # OLD status Res
% 1.00/117.16 # Preprocessing time : 0.023 s
% 1.00/117.16 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.00/117.16
% 1.00/117.16 # Failure: Resource limit exceeded (time)
% 1.00/117.16 # OLD status Res
% 1.00/117.16 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.00/117.16 # Preprocessing time : 0.026 s
% 1.00/117.16 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.00/117.16
% 1.00/117.16 # Failure: Resource limit exceeded (time)
% 1.00/117.16 # OLD status Res
% 1.00/117.16 # Preprocessing time : 0.044 s
% 1.00/117.16 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.00/117.16
% 1.00/117.16 # Failure: Resource limit exceeded (time)
% 1.00/117.16 # OLD status Res
% 1.00/117.16 # Preprocessing time : 0.014 s
% 1.00/117.16 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.00/117.16
% 1.00/117.16 # Failure: Resource limit exceeded (time)
% 1.00/117.16 # OLD status Res
% 1.00/117.16 # Preprocessing time : 0.034 s
% 1.00/117.16 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.00/117.16 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.00/117.16 # Preprocessing time : 0.018 s
% 1.00/117.16
% 1.00/117.16 # Proof found!
% 1.00/117.16 # SZS status Theorem
% 1.00/117.16 # SZS output start CNFRefutation
% See solution above
% 1.00/117.16 # Proof object total steps : 164
% 1.00/117.16 # Proof object clause steps : 155
% 1.00/117.16 # Proof object formula steps : 9
% 1.00/117.16 # Proof object conjectures : 121
% 1.00/117.16 # Proof object clause conjectures : 118
% 1.00/117.16 # Proof object formula conjectures : 3
% 1.00/117.16 # Proof object initial clauses used : 18
% 1.00/117.16 # Proof object initial formulas used : 4
% 1.00/117.16 # Proof object generating inferences : 137
% 1.00/117.16 # Proof object simplifying inferences : 18
% 1.00/117.16 # Training examples: 0 positive, 0 negative
% 1.00/117.16 # Parsed axioms : 29
% 1.00/117.16 # Removed by relevancy pruning/SinE : 25
% 1.00/117.16 # Initial clauses : 30
% 1.00/117.16 # Removed in clause preprocessing : 0
% 1.00/117.16 # Initial clauses in saturation : 30
% 1.00/117.16 # Processed clauses : 7688
% 1.00/117.16 # ...of these trivial : 1
% 1.00/117.16 # ...subsumed : 4256
% 1.00/117.16 # ...remaining for further processing : 3431
% 1.00/117.16 # Other redundant clauses eliminated : 0
% 1.00/117.16 # Clauses deleted for lack of memory : 0
% 1.00/117.16 # Backward-subsumed : 753
% 1.00/117.16 # Backward-rewritten : 7
% 1.00/117.16 # Generated clauses : 11129
% 1.00/117.16 # ...of the previous two non-trivial : 10376
% 1.00/117.16 # Contextual simplify-reflections : 0
% 1.00/117.16 # Paramodulations : 11129
% 1.00/117.16 # Factorizations : 0
% 1.00/117.16 # Equation resolutions : 0
% 1.00/117.16 # Current number of processed clauses : 2671
% 1.00/117.16 # Positive orientable unit clauses : 11
% 1.00/117.16 # Positive unorientable unit clauses: 0
% 1.00/117.16 # Negative unit clauses : 1
% 1.00/117.16 # Non-unit-clauses : 2659
% 1.00/117.16 # Current number of unprocessed clauses: 1946
% 1.00/117.16 # ...number of literals in the above : 9213
% 1.00/117.16 # Current number of archived formulas : 0
% 1.00/117.16 # Current number of archived clauses : 760
% 1.00/117.16 # Clause-clause subsumption calls (NU) : 1565535
% 1.00/117.16 # Rec. Clause-clause subsumption calls : 356604
% 1.00/117.16 # Non-unit clause-clause subsumptions : 5009
% 1.00/117.16 # Unit Clause-clause subsumption calls : 1363
% 1.00/117.16 # Rewrite failures with RHS unbound : 0
% 1.00/117.16 # BW rewrite match attempts : 9
% 1.00/117.16 # BW rewrite match successes : 7
% 1.00/117.16 # Condensation attempts : 0
% 1.00/117.16 # Condensation successes : 0
% 1.00/117.16 # Termbank termtop insertions : 1308674
% 1.00/117.16
% 1.00/117.16 # -------------------------------------------------
% 1.00/117.16 # User time : 1.312 s
% 1.00/117.16 # System time : 0.016 s
% 1.00/117.16 # Total time : 1.328 s
% 1.00/117.16 # Maximum resident set size: 18916 pages
% 1.00/138.55 eprover: CPU time limit exceeded, terminating
% 1.00/138.56 eprover: CPU time limit exceeded, terminating
% 1.00/138.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.57 eprover: No such file or directory
% 1.00/138.57 eprover: CPU time limit exceeded, terminating
% 1.00/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.58 eprover: No such file or directory
% 1.00/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.58 eprover: No such file or directory
% 1.00/138.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.59 eprover: No such file or directory
% 1.00/138.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.59 eprover: No such file or directory
% 1.00/138.59 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.59
% 1.00/138.59 eprover: No such file or directory
% 1.00/138.59 eprover: No such file or directory
% 1.00/138.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.59 eprover: No such file or directory
% 1.00/138.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.60 eprover: No such file or directory
% 1.00/138.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.60 eprover: No such file or directory
% 1.00/138.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.60 eprover: No such file or directory
% 1.00/138.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.60 eprover: No such file or directory
% 1.00/138.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.60 eprover: No such file or directory
% 1.00/138.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.61 eprover: No such file or directory
% 1.00/138.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.61 eprover: No such file or directory
% 1.00/138.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.61 eprover: No such file or directory
% 1.00/138.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.00/138.61 eprover: No such file or directory
% 1.00/138.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.00/138.61 eprover: No such file or directory
%------------------------------------------------------------------------------