TSTP Solution File: SET709+4 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET709+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 300s
% DateTime : Sat May 4 09:23:41 EDT 2024
% Result : Theorem 37.05s 5.10s
% Output : CNFRefutation 37.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 124 ( 11 unt; 0 def)
% Number of atoms : 486 ( 58 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 535 ( 173 ~; 325 |; 29 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 5 ( 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 : 353 ( 0 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/tmp/tmp.D2vCIhaS9y/E---3.1_21972.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/tmp/tmp.D2vCIhaS9y/E---3.1_21972.p',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/tmp/tmp.D2vCIhaS9y/E---3.1_21972.p',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,
! [X22,X23,X24,X25,X27,X28,X29,X30,X31,X32,X34] :
( ( member(esk6_4(X22,X23,X24,X25),X24)
| ~ member(X25,X23)
| ~ maps(X22,X23,X24) )
& ( apply(X22,X25,esk6_4(X22,X23,X24,X25))
| ~ member(X25,X23)
| ~ maps(X22,X23,X24) )
& ( ~ member(X27,X23)
| ~ member(X28,X24)
| ~ member(X29,X24)
| ~ apply(X22,X27,X28)
| ~ apply(X22,X27,X29)
| X28 = X29
| ~ maps(X22,X23,X24) )
& ( member(esk8_3(X30,X31,X32),X31)
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( member(esk9_3(X30,X31,X32),X32)
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( member(esk10_3(X30,X31,X32),X32)
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( apply(X30,esk8_3(X30,X31,X32),esk9_3(X30,X31,X32))
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( apply(X30,esk8_3(X30,X31,X32),esk10_3(X30,X31,X32))
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( esk9_3(X30,X31,X32) != esk10_3(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| maps(X30,X31,X32) )
& ( member(esk8_3(X30,X31,X32),X31)
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) )
& ( member(esk9_3(X30,X31,X32),X32)
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) )
& ( member(esk10_3(X30,X31,X32),X32)
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) )
& ( apply(X30,esk8_3(X30,X31,X32),esk9_3(X30,X31,X32))
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) )
& ( apply(X30,esk8_3(X30,X31,X32),esk10_3(X30,X31,X32))
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) )
& ( esk9_3(X30,X31,X32) != esk10_3(X30,X31,X32)
| ~ member(X34,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| maps(X30,X31,X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( member(esk6_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
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]) ).
cnf(c_0_8,plain,
( apply(X1,X2,esk6_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X38,X39,X40,X41,X42,X43,X44,X46] :
( ( member(esk11_7(X38,X39,X40,X41,X42,X43,X44),X41)
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| ~ member(X43,X40)
| ~ member(X44,X42) )
& ( apply(X39,X43,esk11_7(X38,X39,X40,X41,X42,X43,X44))
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| ~ member(X43,X40)
| ~ member(X44,X42) )
& ( apply(X38,esk11_7(X38,X39,X40,X41,X42,X43,X44),X44)
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| ~ member(X43,X40)
| ~ member(X44,X42) )
& ( ~ member(X46,X41)
| ~ apply(X39,X43,X46)
| ~ apply(X38,X46,X44)
| apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| ~ member(X43,X40)
| ~ member(X44,X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])]) ).
cnf(c_0_10,negated_conjecture,
maps(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( member(esk6_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,plain,
( member(esk8_3(X1,X2,X3),X2)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,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_8,c_0_7]) ).
cnf(c_0_14,plain,
( member(esk11_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,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_8,c_0_10]) ).
cnf(c_0_17,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_11,c_0_12]) ).
cnf(c_0_18,plain,
( X3 = X5
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ apply(X6,X1,X3)
| ~ apply(X6,X1,X5)
| ~ maps(X6,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,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_13,c_0_12]) ).
cnf(c_0_20,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(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( member(esk10_3(X1,X2,X3),X3)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( apply(X1,X2,esk11_7(X3,X1,X4,X5,X6,X2,X7))
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| ~ member(X2,X4)
| ~ member(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( apply(compose_function(X5,X3,X7,X2,X8),X4,X6)
| ~ member(X1,X2)
| ~ apply(X3,X4,X1)
| ~ apply(X5,X1,X6)
| ~ member(X4,X7)
| ~ member(X6,X8) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,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_16,c_0_17]) ).
cnf(c_0_25,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,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_18,c_0_19]) ).
cnf(c_0_27,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,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(esk10_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( apply(compose_function(esk2_0,X1,X2,X3,X4),X5,esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7))))
| maps(X6,esk3_0,X7)
| member(esk7_3(X6,esk3_0,X7),esk3_0)
| ~ apply(X1,X5,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7)))
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7))),X4)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7)),X3)
| ~ member(X5,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( member(esk6_4(esk2_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_31,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(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_32,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)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_7]),c_0_12]),c_0_17]) ).
cnf(c_0_33,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_27,c_0_12]) ).
cnf(c_0_34,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk10_3(compose_function(X2,X1,X3,X4,X5),X6,X5)))
| maps(compose_function(X2,X1,X3,X4,X5),X6,X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( apply(compose_function(esk2_0,X1,X2,esk4_0,X3),X4,esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6))))
| maps(X5,esk3_0,X6)
| member(esk7_3(X5,esk3_0,X6),esk3_0)
| ~ apply(X1,X4,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6)))
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6))),X3)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_36,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_18,c_0_24]) ).
cnf(c_0_37,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_30,c_0_17]) ).
cnf(c_0_38,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_39,negated_conjecture,
( 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)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6))
| maps(compose_function(X1,X2,X3,esk4_0,X4),X3,X4)
| maps(X5,esk3_0,X6)
| member(esk7_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),X3)
| member(esk7_3(X5,esk3_0,X6),esk3_0)
| ~ apply(esk1_0,esk8_3(X5,esk3_0,X6),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))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,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_34,c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,esk4_0,X2),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(esk2_0,esk4_0,esk5_0,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_35,c_0_19]) ).
cnf(c_0_42,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)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_10]),c_0_17]),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),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_38,c_0_12]) ).
cnf(c_0_44,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)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_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_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),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(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_12]) ).
cnf(c_0_46,plain,
( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,negated_conjecture,
( esk10_3(X1,X2,esk5_0) = esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X3,esk3_0,X4)))
| maps(X1,X2,esk5_0)
| maps(X3,esk3_0,X4)
| member(esk7_3(X3,esk3_0,X4),esk3_0)
| member(esk7_3(X1,X2,esk5_0),X2)
| ~ apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X3,esk3_0,X4)),esk10_3(X1,X2,esk5_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_48,negated_conjecture,
( apply(X1,esk6_4(esk1_0,esk3_0,esk4_0,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(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,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_50,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_45,c_0_37]) ).
cnf(c_0_51,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(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_46]) ).
cnf(c_0_52,plain,
( member(esk9_3(X1,X2,X3),X3)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_53,negated_conjecture,
( esk6_4(esk2_0,esk4_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))) = 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_47,c_0_48]),c_0_49]) ).
cnf(c_0_54,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_14,c_0_50]),c_0_12]),c_0_37]) ).
cnf(c_0_55,plain,
( maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,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(esk9_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_46]) ).
cnf(c_0_57,negated_conjecture,
( apply(esk2_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)),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_24,c_0_53]),c_0_49]) ).
cnf(c_0_58,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_54,c_0_53]),c_0_49]) ).
cnf(c_0_59,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(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_60,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_55,c_0_12]) ).
cnf(c_0_61,plain,
( apply(X1,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk11_7(X2,X1,X3,X4,X5,esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk9_3(compose_function(X2,X1,X3,X4,X5),X6,X5)))
| maps(compose_function(X2,X1,X3,X4,X5),X6,X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( X1 = 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)
| ~ apply(esk2_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)),X1)
| ~ maps(esk2_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)),X2)
| ~ member(esk10_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_18,c_0_57]) ).
cnf(c_0_63,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_37,c_0_53]),c_0_49]) ).
cnf(c_0_64,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)
| 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_58,c_0_44]),c_0_49]) ).
cnf(c_0_65,plain,
( apply(X1,esk11_7(X1,X2,X3,X4,X5,esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]) ).
cnf(c_0_66,negated_conjecture,
( esk11_7(X1,X2,X3,esk4_0,X4,esk8_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),esk9_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X5,esk3_0,X6))
| maps(compose_function(X1,X2,X3,esk4_0,X4),X3,X4)
| maps(X5,esk3_0,X6)
| member(esk7_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),X3)
| member(esk7_3(X5,esk3_0,X6),esk3_0)
| ~ apply(esk1_0,esk8_3(X5,esk3_0,X6),esk11_7(X1,X2,X3,esk4_0,X4,esk8_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),esk9_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_60]) ).
cnf(c_0_67,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_61,c_0_12]) ).
cnf(c_0_68,negated_conjecture,
( X1 = 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)
| ~ apply(esk2_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)),X1)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_10]),c_0_63]),c_0_64]) ).
cnf(c_0_69,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_65,c_0_12]) ).
cnf(c_0_70,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),esk9_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_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_67]) ).
cnf(c_0_71,negated_conjecture,
( esk9_3(X1,X2,esk5_0) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| maps(X1,X2,esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| member(esk7_3(X1,X2,esk5_0),X2)
| ~ apply(esk2_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)),esk9_3(X1,X2,esk5_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_52]) ).
cnf(c_0_72,negated_conjecture,
( apply(X1,esk6_4(esk1_0,esk3_0,esk4_0,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_69,c_0_70]) ).
cnf(c_0_73,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_49]) ).
cnf(c_0_74,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(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_11,c_0_73]) ).
cnf(c_0_75,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)
| 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_16,c_0_74]) ).
cnf(c_0_76,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)
| apply(compose_function(esk2_0,X1,X2,X3,X4),X5,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))))
| ~ apply(X1,X5,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))),X4)
| ~ 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(X5,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_75]) ).
cnf(c_0_77,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)
| apply(compose_function(esk2_0,X1,X2,esk4_0,X3),X4,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))))
| ~ apply(X1,X4,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(X4,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_78,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)
| 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_13,c_0_73]) ).
cnf(c_0_79,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)
| apply(compose_function(esk2_0,esk1_0,X1,esk4_0,X2),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))),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_77,c_0_78]) ).
cnf(c_0_80,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)
| apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),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))),X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_73]) ).
cnf(c_0_81,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(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_30,c_0_74]) ).
cnf(c_0_82,plain,
( member(esk8_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_83,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)
| 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_80,c_0_81]) ).
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(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_49]),c_0_81]) ).
cnf(c_0_85,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)
| 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_13,c_0_84]) ).
cnf(c_0_86,plain,
( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_87,plain,
( member(esk10_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_88,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)
| 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_18,c_0_85]) ).
cnf(c_0_89,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(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_11,c_0_84]) ).
cnf(c_0_90,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)
| 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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_49]),c_0_81]) ).
cnf(c_0_91,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(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_83]),c_0_49]),c_0_81]) ).
cnf(c_0_92,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)
| 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)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_7]),c_0_84]),c_0_89]) ).
cnf(c_0_93,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(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_90]),c_0_84]),c_0_91]) ).
cnf(c_0_94,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)
| 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_90]),c_0_84]),c_0_91]) ).
cnf(c_0_95,plain,
( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_96,plain,
( member(esk9_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_97,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)
| 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_90]),c_0_84]),c_0_91]) ).
cnf(c_0_98,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)) = 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))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_99,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)
| 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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_83]),c_0_49]),c_0_81]) ).
cnf(c_0_100,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(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_83]),c_0_49]),c_0_81]) ).
cnf(c_0_101,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)
| apply(esk2_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)),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,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(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_99]),c_0_84]),c_0_100]) ).
cnf(c_0_103,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)
| 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_99]),c_0_84]),c_0_100]) ).
cnf(c_0_104,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)
| X1 = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| ~ apply(esk2_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)),X1)
| ~ maps(esk2_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)),X2)
| ~ member(esk10_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_18,c_0_101]) ).
cnf(c_0_105,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)
| 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_99]),c_0_84]),c_0_100]) ).
cnf(c_0_106,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),esk9_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))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_102]),c_0_103]) ).
cnf(c_0_107,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)
| X1 = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| ~ apply(esk2_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)),X1)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_10]),c_0_91]),c_0_89]) ).
cnf(c_0_108,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)
| apply(esk2_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)),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,plain,
( member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_110,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_100]),c_0_108]) ).
cnf(c_0_111,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_109,c_0_110]),c_0_49]) ).
cnf(c_0_112,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_11,c_0_111]) ).
cnf(c_0_113,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_16,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
( apply(compose_function(esk2_0,X1,X2,X3,X4),X5,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))))
| ~ apply(X1,X5,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))),X4)
| ~ 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(X5,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
( apply(compose_function(esk2_0,X1,X2,esk4_0,X3),X4,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))))
| ~ apply(X1,X4,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(X4,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_112]) ).
cnf(c_0_116,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_13,c_0_111]) ).
cnf(c_0_117,plain,
( maps(X1,X2,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_118,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,X1,esk4_0,X2),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))),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_115,c_0_116]) ).
cnf(c_0_119,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),X1)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_110]),c_0_49]) ).
cnf(c_0_120,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_30,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),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))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_111]) ).
cnf(c_0_122,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_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : SET709+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n013.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 10:05:18 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.15/0.39 Running first-order model finding
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.D2vCIhaS9y/E---3.1_21972.p
% 37.05/5.10 # Version: 3.1.0
% 37.05/5.10 # Preprocessing class: FSLSSMSSSSSNFFN.
% 37.05/5.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.05/5.10 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 37.05/5.10 # Starting new_bool_3 with 300s (1) cores
% 37.05/5.10 # Starting new_bool_1 with 300s (1) cores
% 37.05/5.10 # Starting sh5l with 300s (1) cores
% 37.05/5.10 # new_bool_3 with pid 22050 completed with status 0
% 37.05/5.10 # Result found by new_bool_3
% 37.05/5.10 # Preprocessing class: FSLSSMSSSSSNFFN.
% 37.05/5.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.05/5.10 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 37.05/5.10 # Starting new_bool_3 with 300s (1) cores
% 37.05/5.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 37.05/5.10 # Search class: FGUSF-FFMF33-SFFFFFNN
% 37.05/5.10 # partial match(1): FGUSM-FFMF33-SFFFFFNN
% 37.05/5.10 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 37.05/5.10 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 37.05/5.10 # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 22054 completed with status 0
% 37.05/5.10 # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 37.05/5.10 # Preprocessing class: FSLSSMSSSSSNFFN.
% 37.05/5.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.05/5.10 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 37.05/5.10 # Starting new_bool_3 with 300s (1) cores
% 37.05/5.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 37.05/5.10 # Search class: FGUSF-FFMF33-SFFFFFNN
% 37.05/5.10 # partial match(1): FGUSM-FFMF33-SFFFFFNN
% 37.05/5.10 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 37.05/5.10 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 37.05/5.10 # Preprocessing time : 0.001 s
% 37.05/5.10 # Presaturation interreduction done
% 37.05/5.10
% 37.05/5.10 # Proof found!
% 37.05/5.10 # SZS status Theorem
% 37.05/5.10 # SZS output start CNFRefutation
% See solution above
% 37.05/5.10 # Parsed axioms : 29
% 37.05/5.10 # Removed by relevancy pruning/SinE : 26
% 37.05/5.10 # Initial clauses : 22
% 37.05/5.10 # Removed in clause preprocessing : 0
% 37.05/5.10 # Initial clauses in saturation : 22
% 37.05/5.10 # Processed clauses : 10084
% 37.05/5.10 # ...of these trivial : 90
% 37.05/5.10 # ...subsumed : 5286
% 37.05/5.10 # ...remaining for further processing : 4708
% 37.05/5.10 # Other redundant clauses eliminated : 0
% 37.05/5.10 # Clauses deleted for lack of memory : 0
% 37.05/5.10 # Backward-subsumed : 16
% 37.05/5.10 # Backward-rewritten : 546
% 37.05/5.10 # Generated clauses : 27779
% 37.05/5.10 # ...of the previous two non-redundant : 27753
% 37.05/5.10 # ...aggressively subsumed : 0
% 37.05/5.10 # Contextual simplify-reflections : 791
% 37.05/5.10 # Paramodulations : 27779
% 37.05/5.10 # Factorizations : 0
% 37.05/5.10 # NegExts : 0
% 37.05/5.10 # Equation resolutions : 0
% 37.05/5.10 # Disequality decompositions : 0
% 37.05/5.10 # Total rewrite steps : 924
% 37.05/5.10 # ...of those cached : 918
% 37.05/5.10 # Propositional unsat checks : 0
% 37.05/5.10 # Propositional check models : 0
% 37.05/5.10 # Propositional check unsatisfiable : 0
% 37.05/5.10 # Propositional clauses : 0
% 37.05/5.10 # Propositional clauses after purity: 0
% 37.05/5.10 # Propositional unsat core size : 0
% 37.05/5.10 # Propositional preprocessing time : 0.000
% 37.05/5.10 # Propositional encoding time : 0.000
% 37.05/5.10 # Propositional solver time : 0.000
% 37.05/5.10 # Success case prop preproc time : 0.000
% 37.05/5.10 # Success case prop encoding time : 0.000
% 37.05/5.10 # Success case prop solver time : 0.000
% 37.05/5.10 # Current number of processed clauses : 4124
% 37.05/5.10 # Positive orientable unit clauses : 8
% 37.05/5.10 # Positive unorientable unit clauses: 0
% 37.05/5.10 # Negative unit clauses : 2
% 37.05/5.10 # Non-unit-clauses : 4114
% 37.05/5.10 # Current number of unprocessed clauses: 17463
% 37.05/5.10 # ...number of literals in the above : 97166
% 37.05/5.10 # Current number of archived formulas : 0
% 37.05/5.10 # Current number of archived clauses : 584
% 37.05/5.10 # Clause-clause subsumption calls (NU) : 2756150
% 37.05/5.10 # Rec. Clause-clause subsumption calls : 25780
% 37.05/5.10 # Non-unit clause-clause subsumptions : 6092
% 37.05/5.10 # Unit Clause-clause subsumption calls : 14610
% 37.05/5.10 # Rewrite failures with RHS unbound : 0
% 37.05/5.10 # BW rewrite match attempts : 439
% 37.05/5.10 # BW rewrite match successes : 2
% 37.05/5.10 # Condensation attempts : 0
% 37.05/5.10 # Condensation successes : 0
% 37.05/5.10 # Termbank termtop insertions : 3368455
% 37.05/5.10 # Search garbage collected termcells : 751
% 37.05/5.10
% 37.05/5.10 # -------------------------------------------------
% 37.05/5.10 # User time : 4.563 s
% 37.05/5.10 # System time : 0.035 s
% 37.05/5.10 # Total time : 4.598 s
% 37.05/5.10 # Maximum resident set size: 1904 pages
% 37.05/5.10
% 37.05/5.10 # -------------------------------------------------
% 37.05/5.10 # User time : 4.565 s
% 37.05/5.10 # System time : 0.036 s
% 37.05/5.10 # Total time : 4.601 s
% 37.05/5.10 # Maximum resident set size: 1760 pages
% 37.05/5.10 % E---3.1 exiting
%------------------------------------------------------------------------------