%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET709+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:15:02 PM UTC 2026
% Result : Theorem 200.82s 29.96s
% Output : CNFRefutation 200.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of formulae : 126 ( 11 unt; 0 def)
% Number of atoms : 473 ( 59 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 513 ( 166 ~; 310 |; 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 : 330 ( 0 sgn 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII01,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> maps(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII01) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3,X7,X8] :
( ( member(X8,X2)
& member(X7,X2)
& member(X3,X1) )
=> ( ( apply(X6,X3,X8)
& apply(X6,X3,X7) )
=> X7 = X8 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X5] :
( apply(X6,X3,X5)
& member(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X12,X11)
& member(X3,X1) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( apply(X10,X5,X12)
& apply(X6,X3,X5)
& member(X5,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> 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] :
( ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| esk9_3(X30,X31,X32) != esk10_3(X30,X31,X32) )
& ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| apply(X30,esk8_3(X30,X31,X32),esk10_3(X30,X31,X32)) )
& ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| apply(X30,esk8_3(X30,X31,X32),esk9_3(X30,X31,X32)) )
& ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| member(esk10_3(X30,X31,X32),X32) )
& ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| member(esk9_3(X30,X31,X32),X32) )
& ( maps(X30,X31,X32)
| ~ apply(X30,esk7_3(X30,X31,X32),X34)
| ~ member(X34,X32)
| member(esk8_3(X30,X31,X32),X31) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| esk9_3(X30,X31,X32) != esk10_3(X30,X31,X32) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| apply(X30,esk8_3(X30,X31,X32),esk10_3(X30,X31,X32)) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| apply(X30,esk8_3(X30,X31,X32),esk9_3(X30,X31,X32)) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| member(esk10_3(X30,X31,X32),X32) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| member(esk9_3(X30,X31,X32),X32) )
& ( maps(X30,X31,X32)
| member(esk7_3(X30,X31,X32),X31)
| member(esk8_3(X30,X31,X32),X31) )
& ( ~ maps(X22,X23,X24)
| X28 = X29
| ~ apply(X22,X27,X29)
| ~ apply(X22,X27,X28)
| ~ member(X29,X24)
| ~ member(X28,X24)
| ~ member(X27,X23) )
& ( ~ maps(X22,X23,X24)
| ~ member(X25,X23)
| apply(X22,X25,esk6_4(X22,X23,X24,X25)) )
& ( ~ maps(X22,X23,X24)
| ~ member(X25,X23)
| member(esk6_4(X22,X23,X24,X25),X24) ) ),
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(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
& maps(esk2_0,esk4_0,esk5_0)
& maps(esk1_0,esk3_0,esk4_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,
( ~ maps(X1,X2,X3)
| ~ member(X4,X2)
| member(esk6_4(X1,X2,X3,X4),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,
( ~ maps(X1,X3,X4)
| ~ member(X2,X3)
| apply(X1,X2,esk6_4(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
maps(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ member(X1,esk3_0)
| member(esk6_4(esk1_0,esk3_0,esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_12,plain,
! [X38,X39,X40,X41,X42,X43,X44,X46] :
( ( ~ member(X44,X42)
| ~ member(X43,X40)
| apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| ~ apply(X38,X46,X44)
| ~ apply(X39,X43,X46)
| ~ member(X46,X41) )
& ( ~ member(X44,X42)
| ~ member(X43,X40)
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| apply(X38,esk11_7(X38,X39,X40,X41,X42,X43,X44),X44) )
& ( ~ member(X44,X42)
| ~ member(X43,X40)
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| apply(X39,X43,esk11_7(X38,X39,X40,X41,X42,X43,X44)) )
& ( ~ member(X44,X42)
| ~ member(X43,X40)
| ~ apply(compose_function(X38,X39,X40,X41,X42),X43,X44)
| member(esk11_7(X38,X39,X40,X41,X42,X43,X44),X41) ) ),
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_13,negated_conjecture,
( ~ member(X1,esk4_0)
| apply(esk2_0,X1,esk6_4(esk2_0,esk4_0,esk5_0,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)),esk4_0)
| maps(X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| apply(X1,X2,esk11_7(X3,X1,X4,X5,X6,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ member(X6,X8)
| ~ member(X4,X7)
| ~ apply(X5,X1,X6)
| ~ apply(X3,X4,X1)
| ~ member(X1,X2)
| apply(compose_function(X5,X3,X7,X2,X8),X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| 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)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ member(X1,esk3_0)
| apply(esk1_0,X1,esk6_4(esk1_0,esk3_0,esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_20,plain,
( ~ maps(X6,X2,X4)
| ~ apply(X6,X1,X5)
| ~ apply(X6,X1,X3)
| ~ member(X5,X4)
| ~ member(X3,X4)
| ~ member(X1,X2)
| X3 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X6)
| maps(compose_function(X2,X1,X3,X4,X5),X6,X7)
| 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))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk11_7(X1,X2,X3,X4,X5,X6,X7),X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( ~ member(X5,X2)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7)),X3)
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7))),X4)
| ~ apply(X1,X5,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X6,esk3_0,X7)))
| member(esk7_3(X6,esk3_0,X7),esk3_0)
| maps(X6,esk3_0,X7)
| 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)))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| apply(esk1_0,esk8_3(X1,esk3_0,X2),esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_26,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk11_7(X1,X2,X3,X4,X5,X6,X7),X7) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(X3,esk3_0)
| ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ apply(esk1_0,X3,X1)
| ~ apply(esk1_0,X3,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_28,plain,
( ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X6)
| maps(compose_function(X2,X1,X3,X4,X5),X6,X5)
| 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))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( ~ member(esk8_3(X4,esk3_0,X5),X1)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5)),X2)
| ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5))),X3)
| member(esk7_3(X4,esk3_0,X5),esk3_0)
| maps(X4,esk3_0,X5)
| apply(compose_function(esk2_0,esk1_0,X1,X2,X3),esk8_3(X4,esk3_0,X5),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X4,esk3_0,X5)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk10_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| 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)) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( ~ member(X1,esk4_0)
| ~ apply(esk1_0,esk8_3(X2,esk3_0,X3),X1)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| maps(X2,esk3_0,X3)
| X1 = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_11]),c_0_14]) ).
cnf(c_0_33,plain,
( member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X5),X3)
| maps(compose_function(X2,X1,X3,X4,X5),X3,X5)
| 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))) ),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_34,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X3,esk3_0,X4)),X1)
| ~ 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(esk7_3(X3,esk3_0,X4),esk3_0)
| maps(X3,esk3_0,X4)
| apply(compose_function(esk2_0,esk1_0,esk3_0,X1,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)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
cnf(c_0_36,negated_conjecture,
( ~ member(X1,esk4_0)
| member(esk6_4(esk2_0,esk4_0,esk5_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_37,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| 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)) ),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( ~ member(esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk10_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)),esk4_0)
| member(esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk3_0)
| maps(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)
| esk11_7(X1,esk1_0,esk3_0,X2,X3,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk10_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_34,c_0_11]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))),X1)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| maps(X2,esk3_0,X3)
| 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)))) ),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_41,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| 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)
| maps(X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_42,negated_conjecture,
( ~ member(X3,esk4_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ apply(esk2_0,X3,X1)
| ~ apply(esk2_0,X3,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_43,plain,
( member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3)
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| 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)) ),
inference(spm,[status(thm)],[c_0_37,c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0)
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| esk11_7(X1,esk1_0,esk3_0,esk4_0,X2,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk10_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| 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)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(X1,esk5_0)
| ~ apply(esk2_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)),X1)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| maps(X2,esk3_0,X3)
| X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_14]),c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk3_0)
| maps(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| 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)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| apply(esk1_0,esk8_3(X1,esk3_0,X2),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_45]),c_0_11]),c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| 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)
| maps(X1,esk3_0,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_45]),c_0_11]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( ~ member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk3_0)
| maps(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| 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,X1),esk3_0,X1))) = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,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_52,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))) = esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_22]),c_0_51]) ).
cnf(c_0_54,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_55,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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)) = 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_51]) ).
cnf(c_0_56,plain,
( ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X6)
| maps(compose_function(X2,X1,X3,X4,X5),X6,X7)
| 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))) ),
inference(spm,[status(thm)],[c_0_15,c_0_54]) ).
cnf(c_0_57,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk9_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_58,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_51]) ).
cnf(c_0_59,plain,
( ~ member(esk8_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X6)
| maps(compose_function(X2,X1,X3,X4,X5),X6,X5)
| 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))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( ~ member(X1,esk4_0)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| ~ apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_58]),c_0_10]) ).
cnf(c_0_61,plain,
( member(esk7_3(compose_function(X2,X1,X3,X4,X5),X3,X5),X3)
| maps(compose_function(X2,X1,X3,X4,X5),X3,X5)
| 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))) ),
inference(spm,[status(thm)],[c_0_59,c_0_11]) ).
cnf(c_0_62,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_23,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( member(esk7_3(X1,esk3_0,X2),esk3_0)
| maps(X1,esk3_0,X2)
| apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X1,esk3_0,X2),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X1,esk3_0,X2)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_45]),c_0_11]),c_0_41]) ).
cnf(c_0_64,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk9_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X6)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X7)
| 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)) ),
inference(spm,[status(thm)],[c_0_26,c_0_54]) ).
cnf(c_0_65,negated_conjecture,
( ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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)) = 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_51]) ).
cnf(c_0_66,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5) ),
inference(spm,[status(thm)],[c_0_62,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( ~ member(X1,esk5_0)
| ~ apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(X2,esk3_0,X3),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3)))),X1)
| member(esk7_3(X2,esk3_0,X3),esk3_0)
| maps(X2,esk3_0,X3)
| X1 = esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(X2,esk3_0,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_63]),c_0_41]),c_0_49]) ).
cnf(c_0_68,plain,
( ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3)
| member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X6)
| maps(compose_function(X1,X2,X3,X4,X5),X6,X5)
| 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)) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
( ~ member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| 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)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_11]),c_0_51]) ).
cnf(c_0_70,plain,
( member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3)
| 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)
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_66,c_0_11]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(X1,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)),X1)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| X1 = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_51]) ).
cnf(c_0_72,plain,
( member(esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X3)
| maps(compose_function(X1,X2,X3,X4,X5),X3,X5)
| 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)) ),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_73,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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)) = 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_51]) ).
cnf(c_0_74,negated_conjecture,
( ~ member(X1,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(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| X1 = esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_44]),c_0_51]) ).
cnf(c_0_75,negated_conjecture,
( 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)),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_51]) ).
cnf(c_0_76,negated_conjecture,
( ~ member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0)
| member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0)
| esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_51]) ).
cnf(c_0_78,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)
| 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(spm,[status(thm)],[c_0_10,c_0_77]) ).
cnf(c_0_79,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))))
| 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(spm,[status(thm)],[c_0_13,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
( ~ member(X5,X2)
| ~ 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(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)
| ~ 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)))
| 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))))
| 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(spm,[status(thm)],[c_0_17,c_0_79]) ).
cnf(c_0_81,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)))
| 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(spm,[status(thm)],[c_0_19,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(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)
| apply(compose_function(esk2_0,esk1_0,X1,X2,X3),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))))
| 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(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,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)),X1)
| ~ 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)
| apply(compose_function(esk2_0,esk1_0,esk3_0,X1,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))))
| 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(spm,[status(thm)],[c_0_82,c_0_77]) ).
cnf(c_0_84,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))),X1)
| 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))))
| 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(spm,[status(thm)],[c_0_83,c_0_78]) ).
cnf(c_0_85,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)
| 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(spm,[status(thm)],[c_0_36,c_0_78]) ).
cnf(c_0_86,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_87,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))))
| 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(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_51]),c_0_85]) ).
cnf(c_0_89,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_90,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_91,negated_conjecture,
( apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk1_0,esk3_0,esk4_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))
| 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(spm,[status(thm)],[c_0_19,c_0_88]) ).
cnf(c_0_92,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)
| 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(spm,[status(thm)],[c_0_10,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_87]),c_0_51]),c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( member(esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_87]),c_0_51]),c_0_85]) ).
cnf(c_0_95,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_96,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_97,negated_conjecture,
( ~ member(X1,esk4_0)
| ~ apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| 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))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_91]),c_0_88]),c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_93]),c_0_88]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( member(esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_93]),c_0_88]),c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_87]),c_0_51]),c_0_85]) ).
cnf(c_0_101,negated_conjecture,
( member(esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_87]),c_0_51]),c_0_85]) ).
cnf(c_0_102,negated_conjecture,
( apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_93]),c_0_88]),c_0_94]) ).
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)
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( apply(esk1_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_100]),c_0_88]),c_0_101]) ).
cnf(c_0_105,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)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_100]),c_0_88]),c_0_101]) ).
cnf(c_0_106,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)),esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( apply(esk2_0,esk11_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_100]),c_0_88]),c_0_101]) ).
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)
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_104]),c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( ~ member(X1,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)
| X1 = esk9_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| esk10_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = 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_42,c_0_106]),c_0_94]),c_0_92]) ).
cnf(c_0_110,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))
| 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(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_112,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_109,c_0_110]),c_0_101]) ).
cnf(c_0_113,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_111,c_0_112]),c_0_51]) ).
cnf(c_0_114,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_10,c_0_113]) ).
cnf(c_0_115,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_13,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( ~ member(X5,X2)
| ~ 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(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)
| ~ 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)))
| 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)))) ),
inference(spm,[status(thm)],[c_0_17,c_0_115]) ).
cnf(c_0_117,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_19,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),X1)
| ~ member(esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),X2)
| ~ member(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)
| apply(compose_function(esk2_0,esk1_0,X1,X2,X3),esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk6_4(esk2_0,esk4_0,esk5_0,esk6_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)))) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,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)),X1)
| ~ 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)
| apply(compose_function(esk2_0,esk1_0,esk3_0,X1,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)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_113]) ).
cnf(c_0_120,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_121,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))),X1)
| 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)))) ),
inference(spm,[status(thm)],[c_0_119,c_0_114]) ).
cnf(c_0_122,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_36,c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( ~ member(X1,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),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_112]),c_0_51]) ).
cnf(c_0_124,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_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_122])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET709+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 05:28:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.46 Running first-order theorem proving
% 0.12/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 200.82/29.96 % Version: 3.5.1
% 200.82/29.96 % Preprocessing class: FSLSSMSSSSSNFFN.
% 200.82/29.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.82/29.96 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 200.82/29.96 % Starting new_bool_3 with 300s (1) cores
% 200.82/29.96 % Starting new_bool_1 with 300s (1) cores
% 200.82/29.96 % Starting sh5l with 300s (1) cores
% 200.82/29.96 % new_bool_1 with pid 1527472 completed with status 0
% 200.82/29.96 % Result found by new_bool_1
% 200.82/29.96 % Preprocessing class: FSLSSMSSSSSNFFN.
% 200.82/29.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.82/29.96 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 200.82/29.96 % Starting new_bool_3 with 300s (1) cores
% 200.82/29.96 % Starting new_bool_1 with 300s (1) cores
% 200.82/29.96 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 200.82/29.96 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.82/29.96 % Search class: FGUSF-FFMF33-SFFFFFNN
% 200.82/29.96 % partial match(1): FGUSM-FFMF33-SFFFFFNN
% 200.82/29.96 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 200.82/29.96 % Starting SubtermCWHack with 28s (1) cores
% 200.82/29.96 % SubtermCWHack with pid 1527475 completed with status 8
% 200.82/29.96 % Starting new_bool_1 with 31s (1) cores
% 200.82/29.96 % new_bool_1 with pid 1528038 completed with status 0
% 200.82/29.96 % Result found by new_bool_1
% 200.82/29.96 % Preprocessing class: FSLSSMSSSSSNFFN.
% 200.82/29.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.82/29.96 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 200.82/29.96 % Starting new_bool_3 with 300s (1) cores
% 200.82/29.96 % Starting new_bool_1 with 300s (1) cores
% 200.82/29.96 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 200.82/29.96 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.82/29.96 % Search class: FGUSF-FFMF33-SFFFFFNN
% 200.82/29.96 % partial match(1): FGUSM-FFMF33-SFFFFFNN
% 200.82/29.96 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 200.82/29.96 % Starting SubtermCWHack with 28s (1) cores
% 200.82/29.96 % SubtermCWHack with pid 1527475 completed with status 8
% 200.82/29.96 % Starting new_bool_1 with 31s (1) cores
% 200.82/29.96 % Preprocessing time : 0.002 s
% 200.82/29.96 % Presaturation interreduction done
% 200.82/29.96
% 200.82/29.96 % Proof found!
% 200.82/29.96 % SZS status Theorem
% 200.82/29.96 % SZS output start CNFRefutation
% See solution above
% 200.82/29.96 % Parsed axioms : 29
% 200.82/29.96 % Removed by relevancy pruning/SinE : 26
% 200.82/29.96 % Initial clauses : 22
% 200.82/29.96 % Removed in clause preprocessing : 0
% 200.82/29.96 % Initial clauses in saturation : 22
% 200.82/29.96 % Processed clauses : 1322
% 200.82/29.96 % ...of these trivial : 41
% 200.82/29.96 % ...subsumed : 594
% 200.82/29.96 % ...remaining for further processing : 687
% 200.82/29.96 % Other redundant clauses eliminated : 0
% 200.82/29.96 % Clauses deleted for lack of memory : 0
% 200.82/29.96 % Backward-subsumed : 14
% 200.82/29.96 % Backward-rewritten : 142
% 200.82/29.96 % Generated clauses : 1716
% 200.82/29.96 % ...of the previous two non-redundant : 1732
% 200.82/29.96 % ...aggressively subsumed : 0
% 200.82/29.96 % Contextual simplify-reflections : 223
% 200.82/29.96 % Paramodulations : 1716
% 200.82/29.96 % Factorizations : 0
% 200.82/29.96 % NegExts : 0
% 200.82/29.96 % Equation resolutions : 0
% 200.82/29.96 % Disequality decompositions : 0
% 200.82/29.96 % Total rewrite steps : 261
% 200.82/29.96 % ...of those cached : 255
% 200.82/29.96 % Propositional unsat checks : 0
% 200.82/29.96 % Propositional check models : 0
% 200.82/29.96 % Propositional check unsatisfiable : 0
% 200.82/29.96 % Propositional clauses : 0
% 200.82/29.96 % Propositional clauses after purity: 0
% 200.82/29.96 % Propositional unsat core size : 0
% 200.82/29.96 % Propositional preprocessing time : 0.000
% 200.82/29.96 % Propositional encoding time : 0.000
% 200.82/29.96 % Propositional solver time : 0.000
% 200.82/29.96 % Success case prop preproc time : 0.000
% 200.82/29.96 % Success case prop encoding time : 0.000
% 200.82/29.96 % Success case prop solver time : 0.000
% 200.82/29.96 % Current number of processed clauses : 509
% 200.82/29.96 % Positive orientable unit clauses : 9
% 200.82/29.96 % Positive unorientable unit clauses: 0
% 200.82/29.96 % Negative unit clauses : 1
% 200.82/29.96 % Non-unit-clauses : 499
% 200.82/29.96 % Current number of unprocessed clauses: 367
% 200.82/29.96 % ...number of literals in the above : 1991
% 200.82/29.96 % Current number of archived formulas : 0
% 200.82/29.96 % Current number of archived clauses : 178
% 200.82/29.96 % Clause-clause subsumption calls (NU) : 60150
% 200.82/29.96 % Rec. Clause-clause subsumption calls : 4061
% 200.82/29.96 % Non-unit clause-clause subsumptions : 831
% 200.82/29.96 % Unit Clause-clause subsumption calls : 936
% 200.82/29.96 % Rewrite failures with RHS unbound : 0
% 200.82/29.96 % BW rewrite match attempts : 69
% 200.82/29.96 % BW rewrite match successes : 2
% 200.82/29.96 % Condensation attempts : 0
% 200.82/29.96 % Condensation successes : 0
% 200.82/29.96 % Termbank termtop insertions : 148321
% 200.82/29.96 % Search garbage collected termcells : 751
% 200.82/29.96
% 200.82/29.96 % -------------------------------------------------
% 200.82/29.96 % User time : 27.840 s
% 200.82/29.96 % System time : 0.489 s
% 200.82/29.96 % Total time : 28.329 s
% 200.82/29.96 % Maximum resident set size: 3640 pages
% 200.82/29.96
% 200.82/29.96 % -------------------------------------------------
% 200.82/29.96 % User time : 27.843 s
% 200.82/29.96 % System time : 0.500 s
% 200.82/29.96 % Total time : 28.343 s
% 200.82/29.96 % Maximum resident set size: 4608 pages
% 200.82/29.96 % E exiting
%------------------------------------------------------------------------------