TSTP Solution File: SET729+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET729+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:26 EDT 2022
% Result : Theorem 0.64s 95.82s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 8
% Syntax : Number of formulae : 159 ( 9 unt; 0 def)
% Number of atoms : 965 ( 45 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 1440 ( 634 ~; 731 |; 54 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-7 aty)
% Number of variables : 705 ( 39 sgn 97 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(thII20,conjecture,
! [X6,X1] :
( maps(X6,X1,X1)
=> ( ( one_to_one(X6,X1,X1)
& inverse_predicate(X6,X6,X1,X1) )
<=> identity(compose_function(X6,X6,X1,X1,X1),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thII20) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',identity) ).
fof(inverse_predicate,axiom,
! [X10,X6,X1,X2] :
( inverse_predicate(X10,X6,X1,X2)
<=> ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(X10,X5,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_predicate) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X13,X1)
& member(X14,X1)
& member(X5,X2) )
=> ( ( apply(X6,X13,X5)
& apply(X6,X14,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(c_0_8,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk7_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk7_4(X9,X10,X11,X12))
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16
| ~ maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X10)
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk9_3(X9,X10,X11),esk10_3(X9,X10,X11))
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk9_3(X9,X10,X11),esk11_3(X9,X10,X11))
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk10_3(X9,X10,X11) != esk11_3(X9,X10,X11)
| member(esk8_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk9_3(X9,X10,X11),esk10_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk9_3(X9,X10,X11),esk11_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk10_3(X9,X10,X11) != esk11_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk8_3(X9,X10,X11),X18)
| maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
cnf(c_0_9,plain,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,plain,
( apply(X1,X4,esk7_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk4_7(X13,X14,X15,X16,X17,X18,X19),X16)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X14,X18,esk4_7(X13,X14,X15,X16,X17,X18,X19))
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X13,esk4_7(X13,X14,X15,X16,X17,X18,X19),X19)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( ~ member(X21,X16)
| ~ apply(X14,X18,X21)
| ~ apply(X13,X21,X19)
| apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])])]) ).
cnf(c_0_12,plain,
( X1 = esk7_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk7_4(X2,X3,X4,X5),X7)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( member(esk7_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( apply(X6,X3,esk4_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( X1 = esk7_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X4)
| ~ maps(X2,X3,X4)
| ~ member(X5,X6)
| ~ member(X1,X4)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,negated_conjecture,
~ ! [X6,X1] :
( maps(X6,X1,X1)
=> ( ( one_to_one(X6,X1,X1)
& inverse_predicate(X6,X6,X1,X1) )
<=> identity(compose_function(X6,X6,X1,X1,X1),X1) ) ),
inference(assume_negation,[status(cth)],[thII20]) ).
cnf(c_0_17,plain,
( X1 = esk4_7(X2,X3,X4,X5,X6,X7,X8)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| ~ apply(X3,X7,X1)
| ~ maps(X3,X9,X10)
| ~ member(esk4_7(X2,X3,X4,X5,X6,X7,X8),X10)
| ~ member(X7,X9)
| ~ member(X1,X10)
| ~ member(X7,X4)
| ~ member(X8,X6) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_18,plain,
( member(esk4_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( esk4_7(X1,X2,X3,X4,X5,X6,X7) = esk7_4(X2,X8,X9,X6)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ maps(X2,X10,X9)
| ~ maps(X2,X8,X9)
| ~ member(esk4_7(X1,X2,X3,X4,X5,X6,X7),X9)
| ~ member(X6,X10)
| ~ member(X6,X8)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
fof(c_0_20,negated_conjecture,
( maps(esk1_0,esk2_0,esk2_0)
& ( ~ one_to_one(esk1_0,esk2_0,esk2_0)
| ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) )
& ( one_to_one(esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) )
& ( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_21,plain,
( X1 = esk4_7(X2,X3,X4,X5,X6,X7,X8)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| ~ apply(X3,X7,X1)
| ~ maps(X3,X9,X5)
| ~ member(X7,X9)
| ~ member(X1,X5)
| ~ member(X7,X4)
| ~ member(X8,X6) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( apply(X5,esk4_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_23,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk12_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk12_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk13_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk13_3(X7,X8,X9))
| surjective(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).
cnf(c_0_24,plain,
( esk4_7(X1,X2,X3,X4,X5,X6,X7) = esk7_4(X2,X8,X4,X6)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ maps(X2,X9,X4)
| ~ maps(X2,X8,X4)
| ~ member(X6,X9)
| ~ member(X6,X8)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
maps(esk1_0,esk2_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X7,X8,X9,X7,X8] :
( ( ~ identity(X7,X8)
| ~ member(X9,X8)
| apply(X7,X9,X9) )
& ( member(esk3_2(X7,X8),X8)
| identity(X7,X8) )
& ( ~ apply(X7,esk3_2(X7,X8),esk3_2(X7,X8))
| identity(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[identity])])])])])])]) ).
cnf(c_0_27,plain,
( esk4_7(X1,X2,X3,X4,X5,esk4_7(X2,X6,X7,X8,X9,X10,X11),X12) = X11
| ~ apply(compose_function(X1,X2,X3,X4,X5),esk4_7(X2,X6,X7,X8,X9,X10,X11),X12)
| ~ apply(compose_function(X2,X6,X7,X8,X9),X10,X11)
| ~ maps(X2,X13,X4)
| ~ member(esk4_7(X2,X6,X7,X8,X9,X10,X11),X13)
| ~ member(esk4_7(X2,X6,X7,X8,X9,X10,X11),X3)
| ~ member(X11,X4)
| ~ member(X12,X5)
| ~ member(X10,X7)
| ~ member(X11,X9) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( apply(X1,esk12_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( esk4_7(X1,esk1_0,X2,esk2_0,X3,X4,X5) = esk7_4(esk1_0,X6,esk2_0,X4)
| ~ apply(compose_function(X1,esk1_0,X2,esk2_0,X3),X4,X5)
| ~ maps(esk1_0,X6,esk2_0)
| ~ member(X4,esk2_0)
| ~ member(X4,X6)
| ~ member(X4,X2)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( esk4_7(X1,X2,X3,X4,X5,esk4_7(X2,X6,X7,X8,X9,X10,X11),X12) = X11
| ~ apply(compose_function(X1,X2,X3,X4,X5),esk4_7(X2,X6,X7,X8,X9,X10,X11),X12)
| ~ apply(compose_function(X2,X6,X7,X8,X9),X10,X11)
| ~ maps(X2,X8,X4)
| ~ member(esk4_7(X2,X6,X7,X8,X9,X10,X11),X3)
| ~ member(X11,X4)
| ~ member(X12,X5)
| ~ member(X10,X7)
| ~ member(X11,X9) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_33,plain,
( esk4_7(X1,X2,X3,X4,X5,esk12_4(X2,X6,X7,X8),X9) = X8
| ~ surjective(X2,X6,X7)
| ~ apply(compose_function(X1,X2,X3,X4,X5),esk12_4(X2,X6,X7,X8),X9)
| ~ maps(X2,X10,X4)
| ~ member(esk12_4(X2,X6,X7,X8),X10)
| ~ member(esk12_4(X2,X6,X7,X8),X3)
| ~ member(X8,X4)
| ~ member(X9,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_34,plain,
( member(esk12_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
( apply(X1,esk7_4(esk1_0,X2,esk2_0,X3),X4)
| ~ apply(compose_function(X1,esk1_0,X5,esk2_0,X6),X3,X4)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X5)
| ~ member(X4,X6)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( apply(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),esk4_7(X4,X8,X9,X10,X11,X12,X2),X3)
| ~ apply(compose_function(X4,X8,X9,X10,X11),X12,X2)
| ~ maps(X4,X10,X6)
| ~ member(esk4_7(X4,X8,X9,X10,X11,X12,X2),X5)
| ~ member(X3,X7)
| ~ member(X2,X6)
| ~ member(X12,X9)
| ~ member(X2,X11) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_38,plain,
( esk4_7(X1,X2,X3,X4,X5,esk12_4(X2,X6,X7,X8),X9) = X8
| ~ surjective(X2,X6,X7)
| ~ apply(compose_function(X1,X2,X3,X4,X5),esk12_4(X2,X6,X7,X8),X9)
| ~ maps(X2,X6,X4)
| ~ member(esk12_4(X2,X6,X7,X8),X3)
| ~ member(X8,X4)
| ~ member(X9,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
( esk7_4(X1,X2,X3,X4) = esk7_4(X1,X5,X6,X4)
| ~ maps(X1,X7,X6)
| ~ maps(X1,X5,X6)
| ~ maps(X1,X2,X3)
| ~ member(esk7_4(X1,X2,X3,X4),X6)
| ~ member(X4,X7)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_41,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(esk1_0,esk7_4(esk1_0,X1,esk2_0,X2),X2)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( apply(X1,X2,X3)
| ~ surjective(X4,X5,X6)
| ~ apply(compose_function(X7,X4,X8,X9,X10),esk12_4(X4,X5,X6,X11),X2)
| ~ apply(compose_function(X1,X7,X12,X13,X14),X11,X3)
| ~ maps(X7,X9,X13)
| ~ maps(X4,X5,X9)
| ~ member(esk12_4(X4,X5,X6,X11),X8)
| ~ member(X11,X12)
| ~ member(X3,X14)
| ~ member(X2,X13)
| ~ member(X2,X10)
| ~ member(X11,X9)
| ~ member(X11,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk12_4(X2,X6,X7,X8),X9)
| ~ surjective(X2,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(esk12_4(X2,X6,X7,X8),X3)
| ~ member(X8,X4)
| ~ member(X9,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
fof(c_0_44,plain,
! [X11,X12,X13,X14,X15,X16,X11,X12,X13,X14] :
( ( ~ apply(X12,X15,X16)
| apply(X11,X16,X15)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ inverse_predicate(X11,X12,X13,X14) )
& ( ~ apply(X11,X16,X15)
| apply(X12,X15,X16)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ inverse_predicate(X11,X12,X13,X14) )
& ( member(esk5_4(X11,X12,X13,X14),X13)
| inverse_predicate(X11,X12,X13,X14) )
& ( member(esk6_4(X11,X12,X13,X14),X14)
| inverse_predicate(X11,X12,X13,X14) )
& ( ~ apply(X12,esk5_4(X11,X12,X13,X14),esk6_4(X11,X12,X13,X14))
| ~ apply(X11,esk6_4(X11,X12,X13,X14),esk5_4(X11,X12,X13,X14))
| inverse_predicate(X11,X12,X13,X14) )
& ( apply(X12,esk5_4(X11,X12,X13,X14),esk6_4(X11,X12,X13,X14))
| apply(X11,esk6_4(X11,X12,X13,X14),esk5_4(X11,X12,X13,X14))
| inverse_predicate(X11,X12,X13,X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_predicate])])])])])])]) ).
cnf(c_0_45,plain,
( esk7_4(X1,X2,X3,X4) = esk7_4(X1,X5,X3,X4)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X5,X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X6)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( esk7_4(esk1_0,X1,X2,esk7_4(esk1_0,X3,esk2_0,X4)) = X4
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X5,X2)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X3,esk2_0,X4),X5)
| ~ member(esk7_4(esk1_0,X3,esk2_0,X4),X1)
| ~ member(X4,esk2_0)
| ~ member(X4,X2)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_41]) ).
fof(c_0_47,plain,
! [X15,X16,X17,X18,X19,X20,X15,X16,X17] :
( ( ~ injective(X15,X16,X17)
| ~ member(X18,X16)
| ~ member(X19,X16)
| ~ member(X20,X17)
| ~ apply(X15,X18,X20)
| ~ apply(X15,X19,X20)
| X18 = X19 )
& ( member(esk14_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk15_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk16_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk14_3(X15,X16,X17),esk16_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk15_3(X15,X16,X17),esk16_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk14_3(X15,X16,X17) != esk15_3(X15,X16,X17)
| injective(X15,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).
cnf(c_0_48,plain,
( apply(X1,X2,X3)
| ~ surjective(X4,X5,X6)
| ~ apply(compose_function(X1,X7,X8,X9,X10),X11,X3)
| ~ apply(X7,X11,X2)
| ~ maps(X7,X12,X9)
| ~ maps(X4,X5,X12)
| ~ member(esk12_4(X4,X5,X6,X11),X13)
| ~ member(X11,X8)
| ~ member(X3,X10)
| ~ member(X2,X9)
| ~ member(X2,X14)
| ~ member(X11,X12)
| ~ member(X11,X6) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( apply(X1,X5,X6)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X2,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,X2) = esk7_4(esk1_0,X3,esk2_0,X2)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_51,negated_conjecture,
( esk7_4(esk1_0,X1,X2,esk7_4(esk1_0,X3,esk2_0,X4)) = X4
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,esk2_0,X2)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X3,esk2_0,X4),X1)
| ~ member(X4,esk2_0)
| ~ member(X4,X2)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_13]) ).
cnf(c_0_52,plain,
( injective(X1,X2,X3)
| apply(X1,esk14_3(X1,X2,X3),esk16_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
( injective(X1,X2,X3)
| apply(X1,esk15_3(X1,X2,X3),esk16_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ surjective(X3,X4,X5)
| ~ apply(esk1_0,X2,X1)
| ~ maps(esk1_0,X6,esk2_0)
| ~ maps(X3,X4,X6)
| ~ member(esk12_4(X3,X4,X5,X2),X7)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X8)
| ~ member(X2,X6)
| ~ member(X2,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk7_4(esk1_0,X2,esk2_0,X3)) = X3
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X4,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk7_4(esk1_0,X2,esk2_0,X3),X1)
| ~ member(esk7_4(esk1_0,X2,esk2_0,X3),X4)
| ~ member(X3,esk2_0)
| ~ member(X3,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_25])]),c_0_13]) ).
cnf(c_0_56,plain,
( esk7_4(X1,X2,X3,esk14_3(X1,X4,X5)) = esk16_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk14_3(X1,X4,X5),X6)
| ~ member(esk16_3(X1,X4,X5),X3)
| ~ member(esk14_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_57,plain,
( injective(X1,X2,X3)
| member(esk14_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( esk7_4(X1,X2,X3,esk15_3(X1,X4,X5)) = esk16_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk15_3(X1,X4,X5),X6)
| ~ member(esk16_3(X1,X4,X5),X3)
| ~ member(esk15_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_53]) ).
cnf(c_0_59,plain,
( injective(X1,X2,X3)
| member(esk15_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ surjective(X3,X4,X5)
| ~ apply(esk1_0,X2,X1)
| ~ maps(esk1_0,X6,esk2_0)
| ~ maps(X3,X4,X6)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X7)
| ~ member(X2,X6)
| ~ member(X2,X5) ),
inference(spm,[status(thm)],[c_0_54,c_0_34]) ).
cnf(c_0_61,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk7_4(esk1_0,X2,esk2_0,X3)) = X3
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk7_4(esk1_0,X2,esk2_0,X3),X1)
| ~ member(X3,esk2_0)
| ~ member(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_13]),c_0_25])]) ).
cnf(c_0_62,plain,
( esk7_4(X1,X2,X3,esk14_3(X1,X4,X5)) = esk16_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk16_3(X1,X4,X5),X3)
| ~ member(esk14_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( esk7_4(X1,X2,X3,esk15_3(X1,X4,X5)) = esk16_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk16_3(X1,X4,X5),X3)
| ~ member(esk15_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ surjective(X3,X4,X5)
| ~ apply(esk1_0,X2,X1)
| ~ maps(X3,X4,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X6)
| ~ member(X2,X5) ),
inference(spm,[status(thm)],[c_0_60,c_0_25]) ).
fof(c_0_65,plain,
! [X7,X8,X9,X7,X8,X9] :
( ( injective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( surjective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( ~ injective(X7,X8,X9)
| ~ surjective(X7,X8,X9)
| one_to_one(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])])]) ).
cnf(c_0_66,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk16_3(esk1_0,X2,X3)) = esk14_3(esk1_0,X2,X3)
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X4,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk14_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),X1)
| ~ member(esk14_3(esk1_0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk16_3(esk1_0,X2,X3)) = esk15_3(esk1_0,X2,X3)
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X4,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk15_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),X1)
| ~ member(esk15_3(esk1_0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( apply(esk1_0,esk7_4(esk1_0,X1,X2,X3),X3)
| ~ surjective(X4,X5,X6)
| ~ maps(X4,X5,esk2_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(esk7_4(esk1_0,X1,X2,X3),X7)
| ~ member(X3,esk2_0)
| ~ member(X3,X6)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_10]) ).
cnf(c_0_69,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| one_to_one(esk1_0,esk2_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_71,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk16_3(esk1_0,X2,X3)) = esk14_3(esk1_0,X2,X3)
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk14_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_72,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk16_3(esk1_0,X2,X3)) = esk15_3(esk1_0,X2,X3)
| inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ maps(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(esk15_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
cnf(c_0_73,plain,
( injective(X1,X2,X3)
| esk14_3(X1,X2,X3) != esk15_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_74,negated_conjecture,
( apply(esk1_0,esk7_4(esk1_0,X1,X2,X3),X3)
| ~ surjective(X4,X5,X6)
| ~ maps(X4,X5,esk2_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X6)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_13]) ).
cnf(c_0_75,negated_conjecture,
( surjective(esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk14_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk15_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_77,plain,
( injective(X1,X2,X3)
| member(esk16_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_78,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(esk1_0,esk7_4(esk1_0,X1,X2,X3),X3)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_25])]) ).
cnf(c_0_79,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk13_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_80,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X2,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk14_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk15_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk16_3(esk1_0,X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(esk1_0,esk7_4(esk1_0,X1,esk2_0,X2),X2)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_50]),c_0_78]),c_0_13]) ).
cnf(c_0_83,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk13_3(X1,X2,X3))
| ~ member(esk4_7(X1,X4,X5,X6,X7,X8,esk13_3(X1,X2,X3)),X2)
| ~ member(esk13_3(X1,X2,X3),X7)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[c_0_79,c_0_22]) ).
cnf(c_0_84,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_85,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk14_3(esk1_0,X1,esk2_0),esk2_0)
| ~ member(esk15_3(esk1_0,X1,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_77]),c_0_25])]) ).
cnf(c_0_86,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ apply(X1,esk7_4(X2,X8,X9,X6),X7)
| ~ maps(X2,X8,X9)
| ~ member(esk7_4(X2,X8,X9,X6),X4)
| ~ member(X6,X3)
| ~ member(X7,X5)
| ~ member(X6,X8) ),
inference(spm,[status(thm)],[c_0_39,c_0_10]) ).
cnf(c_0_87,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(esk1_0,esk7_4(esk1_0,X1,esk2_0,X2),X2)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_25]) ).
cnf(c_0_88,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk13_3(X1,X2,X3))
| ~ member(esk13_3(X1,X2,X3),X6)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_83,c_0_18]) ).
cnf(c_0_89,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| apply(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| injective(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_59]),c_0_25])]),c_0_57]) ).
cnf(c_0_91,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(compose_function(esk1_0,esk1_0,X1,X2,X3),X4,X4)
| ~ maps(esk1_0,X5,esk2_0)
| ~ member(esk7_4(esk1_0,X5,esk2_0,X4),X2)
| ~ member(X4,esk2_0)
| ~ member(X4,X1)
| ~ member(X4,X3)
| ~ member(X4,X5) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( apply(esk1_0,X1,esk12_4(esk1_0,X2,X3,X1))
| ~ surjective(esk1_0,X2,X3)
| ~ surjective(X4,X5,X6)
| ~ maps(X4,X5,esk2_0)
| ~ member(esk12_4(esk1_0,X2,X3,X1),esk2_0)
| ~ member(esk12_4(esk1_0,X2,X3,X1),X6)
| ~ member(X1,esk2_0)
| ~ member(X1,X7)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_28]) ).
cnf(c_0_93,negated_conjecture,
( surjective(esk1_0,esk2_0,X1)
| injective(esk1_0,esk2_0,esk2_0)
| ~ member(esk13_3(esk1_0,esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( surjective(X1,X2,X3)
| member(esk13_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_95,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3,X3)
| ~ maps(esk1_0,X4,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X1)
| ~ member(X3,X2)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_13]) ).
cnf(c_0_97,negated_conjecture,
( apply(esk1_0,X1,esk12_4(esk1_0,X2,X3,X1))
| ~ surjective(esk1_0,X2,X3)
| ~ surjective(X4,X5,X2)
| ~ maps(X4,X5,esk2_0)
| ~ member(esk12_4(esk1_0,X2,X3,X1),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X6)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_34]) ).
cnf(c_0_98,negated_conjecture,
( surjective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,esk12_4(esk1_0,X2,X3,X1))
| ~ surjective(esk1_0,X2,X3)
| ~ member(esk12_4(esk1_0,X2,X3,X1),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_28]) ).
cnf(c_0_100,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| apply(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),X3,X3)
| ~ member(X3,esk2_0)
| ~ member(X3,X1)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_25]) ).
cnf(c_0_101,plain,
( identity(X1,X2)
| member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_102,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| apply(esk1_0,X1,esk12_4(esk1_0,esk2_0,X2,X1))
| ~ surjective(esk1_0,esk2_0,X2)
| ~ member(X1,esk2_0)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_25])]),c_0_99]),c_0_34]) ).
cnf(c_0_103,negated_conjecture,
( injective(esk1_0,X1,X2)
| apply(esk1_0,esk16_3(esk1_0,X1,X2),esk15_3(esk1_0,X1,X2))
| ~ surjective(X3,X4,X5)
| ~ maps(X3,X4,esk2_0)
| ~ member(esk15_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),X6)
| ~ member(esk15_3(esk1_0,X1,X2),X5) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]) ).
cnf(c_0_104,plain,
( identity(X1,X2)
| ~ apply(X1,esk3_2(X1,X2),esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_105,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| identity(X1,esk2_0)
| apply(compose_function(esk1_0,esk1_0,X2,esk2_0,X3),esk3_2(X1,esk2_0),esk3_2(X1,esk2_0))
| ~ member(esk3_2(X1,esk2_0),X2)
| ~ member(esk3_2(X1,esk2_0),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( X1 = esk12_4(esk1_0,esk2_0,X2,X3)
| injective(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk12_4(esk1_0,esk2_0,X2,X3),X5)
| ~ member(X3,esk2_0)
| ~ member(X3,X4)
| ~ member(X1,X5)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( injective(esk1_0,X1,X2)
| apply(esk1_0,esk16_3(esk1_0,X1,X2),esk15_3(esk1_0,X1,X2))
| ~ surjective(X3,X4,X5)
| ~ maps(X3,X4,esk2_0)
| ~ member(esk15_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk15_3(esk1_0,X1,X2),X5) ),
inference(spm,[status(thm)],[c_0_103,c_0_77]) ).
cnf(c_0_108,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| identity(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0),X1)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,X1,esk2_0,X2),esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( X1 = esk12_4(esk1_0,esk2_0,X2,X3)
| injective(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ maps(esk1_0,X4,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X4)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_34]) ).
cnf(c_0_110,negated_conjecture,
( injective(esk1_0,X1,X2)
| apply(esk1_0,esk16_3(esk1_0,X1,X2),esk15_3(esk1_0,X1,X2))
| ~ surjective(X3,X4,X1)
| ~ maps(X3,X4,esk2_0)
| ~ member(esk15_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_59]) ).
cnf(c_0_111,plain,
( apply(X1,X2,X3)
| ~ apply(compose_function(X4,X5,X6,X7,X8),esk4_7(X5,X9,X10,X11,X12,X13,X14),X2)
| ~ apply(compose_function(X1,X4,X15,X16,X17),X14,X3)
| ~ apply(compose_function(X5,X9,X10,X11,X12),X13,X14)
| ~ maps(X4,X7,X16)
| ~ maps(X5,X11,X7)
| ~ member(esk4_7(X5,X9,X10,X11,X12,X13,X14),X6)
| ~ member(X14,X15)
| ~ member(X3,X17)
| ~ member(X2,X16)
| ~ member(X2,X8)
| ~ member(X14,X7)
| ~ member(X13,X10)
| ~ member(X14,X12) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_112,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk4_7(X2,X6,X7,X8,X9,X10,X11),X12)
| ~ apply(compose_function(X2,X6,X7,X8,X9),X10,X11)
| ~ apply(X1,X11,X12)
| ~ member(esk4_7(X2,X6,X7,X8,X9,X10,X11),X3)
| ~ member(X11,X4)
| ~ member(X12,X5)
| ~ member(X10,X7)
| ~ member(X11,X9) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_113,negated_conjecture,
( identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,X1),esk2_0)
| ~ member(esk3_2(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,X1),esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_101]) ).
cnf(c_0_114,negated_conjecture,
( X1 = esk12_4(esk1_0,esk2_0,X2,X3)
| injective(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_25]) ).
cnf(c_0_115,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X1,X2)
| apply(esk1_0,esk16_3(esk1_0,X1,X2),esk14_3(esk1_0,X1,X2))
| ~ member(esk14_3(esk1_0,X1,X2),esk2_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_52]) ).
cnf(c_0_116,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,esk2_0,X1)
| apply(esk1_0,esk16_3(esk1_0,esk2_0,X1),esk15_3(esk1_0,esk2_0,X1))
| ~ member(esk16_3(esk1_0,esk2_0,X1),esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_98]),c_0_25])]),c_0_59]) ).
cnf(c_0_117,plain,
( apply(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,X3)
| ~ apply(compose_function(X9,X10,X11,X12,X13),X14,X8)
| ~ apply(X4,X8,X2)
| ~ maps(X4,X15,X6)
| ~ maps(X9,X12,X15)
| ~ member(esk4_7(X9,X10,X11,X12,X13,X14,X8),X16)
| ~ member(X8,X5)
| ~ member(X3,X7)
| ~ member(X2,X6)
| ~ member(X2,X17)
| ~ member(X8,X15)
| ~ member(X14,X11)
| ~ member(X8,X13) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_113,c_0_101]) ).
cnf(c_0_119,negated_conjecture,
( esk12_4(esk1_0,esk2_0,X1,esk16_3(esk1_0,X2,X3)) = esk14_3(esk1_0,X2,X3)
| injective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,X2,X3)
| ~ surjective(esk1_0,esk2_0,X1)
| ~ member(esk16_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk14_3(esk1_0,X2,X3),esk2_0)
| ~ member(esk16_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( esk12_4(esk1_0,esk2_0,X1,esk16_3(esk1_0,esk2_0,X2)) = esk15_3(esk1_0,esk2_0,X2)
| injective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,esk2_0,X2)
| ~ surjective(esk1_0,esk2_0,X1)
| ~ member(esk16_3(esk1_0,esk2_0,X2),esk2_0)
| ~ member(esk16_3(esk1_0,esk2_0,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_116]),c_0_59]) ).
cnf(c_0_121,plain,
( apply(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,X3)
| ~ apply(compose_function(X9,X10,X11,X12,X13),X14,X8)
| ~ apply(X4,X8,X2)
| ~ maps(X4,X15,X6)
| ~ maps(X9,X12,X15)
| ~ member(X8,X5)
| ~ member(X3,X7)
| ~ member(X2,X6)
| ~ member(X2,X16)
| ~ member(X8,X15)
| ~ member(X14,X11)
| ~ member(X8,X13) ),
inference(spm,[status(thm)],[c_0_117,c_0_18]) ).
cnf(c_0_122,negated_conjecture,
( apply(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| injective(esk1_0,esk2_0,X1)
| ~ surjective(esk1_0,esk2_0,X2)
| ~ member(esk16_3(esk1_0,esk2_0,X1),esk2_0)
| ~ member(esk16_3(esk1_0,esk2_0,X1),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_57]),c_0_73]) ).
cnf(c_0_124,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(compose_function(X3,X4,X5,X6,X7),X8,X2)
| ~ apply(esk1_0,X2,X1)
| ~ maps(esk1_0,X9,esk2_0)
| ~ maps(X3,X6,X9)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X10)
| ~ member(X2,X9)
| ~ member(X8,X5)
| ~ member(X2,X7) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0)
| ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ one_to_one(esk1_0,esk2_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_126,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_127,negated_conjecture,
( injective(esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,X1)
| ~ member(esk16_3(esk1_0,esk2_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_77]) ).
cnf(c_0_128,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X2,X1)
| ~ maps(esk1_0,X3,esk2_0)
| ~ maps(esk1_0,esk2_0,X3)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X4)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,esk2_0)
| ~ injective(esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
injective(esk1_0,esk2_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_77]),c_0_98]) ).
cnf(c_0_131,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_25]),c_0_25])]) ).
cnf(c_0_132,plain,
( inverse_predicate(X1,X2,X3,X4)
| apply(X1,esk6_4(X1,X2,X3,X4),esk5_4(X1,X2,X3,X4))
| apply(X2,esk5_4(X1,X2,X3,X4),esk6_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_133,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| surjective(esk1_0,esk2_0,X1)
| ~ member(esk13_3(esk1_0,esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_36]) ).
cnf(c_0_134,negated_conjecture,
( ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,esk2_0)
| ~ identity(compose_function(esk1_0,esk1_0,esk2_0,esk2_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_135,negated_conjecture,
( surjective(esk1_0,esk2_0,X1)
| ~ member(esk13_3(esk1_0,esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_122]) ).
cnf(c_0_136,negated_conjecture,
( inverse_predicate(esk1_0,X1,X2,X3)
| apply(esk1_0,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| apply(X1,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| ~ member(esk6_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(esk5_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(esk5_4(esk1_0,X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk5_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_138,plain,
( X1 = X2
| ~ apply(X3,X2,X4)
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_139,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| surjective(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_94]) ).
cnf(c_0_140,negated_conjecture,
( ~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ surjective(esk1_0,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_118])]) ).
cnf(c_0_141,negated_conjecture,
surjective(esk1_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_135,c_0_94]) ).
cnf(c_0_142,negated_conjecture,
( inverse_predicate(esk1_0,X1,X2,X3)
| apply(esk1_0,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| apply(X1,esk5_4(esk1_0,X1,X2,X3),esk6_4(esk1_0,X1,X2,X3))
| ~ member(esk6_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(esk5_4(esk1_0,X1,X2,X3),esk2_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_143,plain,
( inverse_predicate(X1,X2,X3,X4)
| member(esk6_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_144,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_130]) ).
cnf(c_0_145,negated_conjecture,
( inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0)
| apply(esk1_0,esk7_4(esk1_0,X1,X2,X3),X3)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk7_4(esk1_0,X1,X2,X3),esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_139]),c_0_25])]) ).
cnf(c_0_146,negated_conjecture,
~ inverse_predicate(esk1_0,esk1_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_147,negated_conjecture,
( inverse_predicate(esk1_0,X1,X2,esk2_0)
| apply(esk1_0,esk5_4(esk1_0,X1,X2,esk2_0),esk6_4(esk1_0,X1,X2,esk2_0))
| apply(X1,esk5_4(esk1_0,X1,X2,esk2_0),esk6_4(esk1_0,X1,X2,esk2_0))
| ~ member(esk5_4(esk1_0,X1,X2,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( X1 = esk7_4(esk1_0,X2,X3,X4)
| ~ apply(esk1_0,X1,X4)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_4(esk1_0,X2,X3,X4),esk2_0)
| ~ member(X4,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X4,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_149,negated_conjecture,
( inverse_predicate(esk1_0,X1,esk2_0,esk2_0)
| apply(esk1_0,esk5_4(esk1_0,X1,esk2_0,esk2_0),esk6_4(esk1_0,X1,esk2_0,esk2_0))
| apply(X1,esk5_4(esk1_0,X1,esk2_0,esk2_0),esk6_4(esk1_0,X1,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_137]) ).
cnf(c_0_150,negated_conjecture,
( X1 = esk7_4(esk1_0,X2,esk2_0,X3)
| ~ apply(esk1_0,X1,X3)
| ~ maps(esk1_0,X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_13]) ).
cnf(c_0_151,negated_conjecture,
apply(esk1_0,esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk6_4(esk1_0,esk1_0,esk2_0,esk2_0)),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_149]),c_0_146]) ).
cnf(c_0_152,plain,
( inverse_predicate(X1,X2,X3,X4)
| ~ apply(X1,esk6_4(X1,X2,X3,X4),esk5_4(X1,X2,X3,X4))
| ~ apply(X2,esk5_4(X1,X2,X3,X4),esk6_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_153,negated_conjecture,
( esk7_4(esk1_0,X1,esk2_0,esk6_4(esk1_0,esk1_0,esk2_0,esk2_0)) = esk5_4(esk1_0,esk1_0,esk2_0,esk2_0)
| ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
~ apply(esk1_0,esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk5_4(esk1_0,esk1_0,esk2_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_151]),c_0_146]) ).
cnf(c_0_155,negated_conjecture,
( ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_153]),c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( ~ maps(esk1_0,X1,esk2_0)
| ~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0)
| ~ member(esk6_4(esk1_0,esk1_0,esk2_0,esk2_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_143]),c_0_146]) ).
cnf(c_0_157,negated_conjecture,
~ member(esk5_4(esk1_0,esk1_0,esk2_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_143]),c_0_25])]),c_0_146]) ).
cnf(c_0_158,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_137]),c_0_146]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET729+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 11:52:12 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.31/23.39 eprover: CPU time limit exceeded, terminating
% 0.31/23.39 eprover: CPU time limit exceeded, terminating
% 0.31/23.39 eprover: CPU time limit exceeded, terminating
% 0.31/23.40 eprover: CPU time limit exceeded, terminating
% 0.40/46.41 eprover: CPU time limit exceeded, terminating
% 0.40/46.41 eprover: CPU time limit exceeded, terminating
% 0.40/46.41 eprover: CPU time limit exceeded, terminating
% 0.40/46.41 eprover: CPU time limit exceeded, terminating
% 0.52/69.42 eprover: CPU time limit exceeded, terminating
% 0.52/69.42 eprover: CPU time limit exceeded, terminating
% 0.52/69.43 eprover: CPU time limit exceeded, terminating
% 0.52/69.43 eprover: CPU time limit exceeded, terminating
% 0.63/92.43 eprover: CPU time limit exceeded, terminating
% 0.63/92.44 eprover: CPU time limit exceeded, terminating
% 0.63/92.45 eprover: CPU time limit exceeded, terminating
% 0.63/92.46 eprover: CPU time limit exceeded, terminating
% 0.64/95.82 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.64/95.82
% 0.64/95.82 # Failure: Resource limit exceeded (time)
% 0.64/95.82 # OLD status Res
% 0.64/95.82 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.64/95.82 # Preprocessing time : 0.016 s
% 0.64/95.82 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.64/95.82
% 0.64/95.82 # Failure: Resource limit exceeded (time)
% 0.64/95.82 # OLD status Res
% 0.64/95.82 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.64/95.82 # Preprocessing time : 0.009 s
% 0.64/95.82 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.64/95.82
% 0.64/95.82 # Failure: Resource limit exceeded (time)
% 0.64/95.82 # OLD status Res
% 0.64/95.82 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.64/95.82 # Preprocessing time : 0.020 s
% 0.64/95.82 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.64/95.82
% 0.64/95.82 # Failure: Resource limit exceeded (time)
% 0.64/95.82 # OLD status Res
% 0.64/95.82 # Preprocessing time : 0.012 s
% 0.64/95.82 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.64/95.82 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.64/95.82 # Preprocessing time : 0.011 s
% 0.64/95.82
% 0.64/95.82 # Proof found!
% 0.64/95.82 # SZS status Theorem
% 0.64/95.82 # SZS output start CNFRefutation
% See solution above
% 0.64/95.82 # Proof object total steps : 159
% 0.64/95.82 # Proof object clause steps : 142
% 0.64/95.82 # Proof object formula steps : 17
% 0.64/95.82 # Proof object conjectures : 89
% 0.64/95.82 # Proof object clause conjectures : 86
% 0.64/95.82 # Proof object formula conjectures : 3
% 0.64/95.82 # Proof object initial clauses used : 33
% 0.64/95.82 # Proof object initial formulas used : 8
% 0.64/95.82 # Proof object generating inferences : 106
% 0.64/95.82 # Proof object simplifying inferences : 46
% 0.64/95.82 # Training examples: 0 positive, 0 negative
% 0.64/95.82 # Parsed axioms : 29
% 0.64/95.82 # Removed by relevancy pruning/SinE : 21
% 0.64/95.82 # Initial clauses : 46
% 0.64/95.82 # Removed in clause preprocessing : 0
% 0.64/95.82 # Initial clauses in saturation : 46
% 0.64/95.82 # Processed clauses : 3477
% 0.64/95.82 # ...of these trivial : 1
% 0.64/95.82 # ...subsumed : 1950
% 0.64/95.82 # ...remaining for further processing : 1526
% 0.64/95.82 # Other redundant clauses eliminated : 0
% 0.64/95.82 # Clauses deleted for lack of memory : 0
% 0.64/95.82 # Backward-subsumed : 398
% 0.64/95.82 # Backward-rewritten : 348
% 0.64/95.82 # Generated clauses : 27246
% 0.64/95.82 # ...of the previous two non-trivial : 26700
% 0.64/95.82 # Contextual simplify-reflections : 6972
% 0.64/95.82 # Paramodulations : 27239
% 0.64/95.82 # Factorizations : 6
% 0.64/95.82 # Equation resolutions : 0
% 0.64/95.82 # Current number of processed clauses : 779
% 0.64/95.82 # Positive orientable unit clauses : 6
% 0.64/95.82 # Positive unorientable unit clauses: 0
% 0.64/95.82 # Negative unit clauses : 3
% 0.64/95.82 # Non-unit-clauses : 770
% 0.64/95.82 # Current number of unprocessed clauses: 10862
% 0.64/95.82 # ...number of literals in the above : 151423
% 0.64/95.82 # Current number of archived formulas : 0
% 0.64/95.82 # Current number of archived clauses : 747
% 0.64/95.82 # Clause-clause subsumption calls (NU) : 922380
% 0.64/95.82 # Rec. Clause-clause subsumption calls : 34814
% 0.64/95.82 # Non-unit clause-clause subsumptions : 9318
% 0.64/95.82 # Unit Clause-clause subsumption calls : 517
% 0.64/95.82 # Rewrite failures with RHS unbound : 0
% 0.64/95.82 # BW rewrite match attempts : 16
% 0.64/95.82 # BW rewrite match successes : 3
% 0.64/95.82 # Condensation attempts : 0
% 0.64/95.82 # Condensation successes : 0
% 0.64/95.82 # Termbank termtop insertions : 1685862
% 0.64/95.82
% 0.64/95.82 # -------------------------------------------------
% 0.64/95.82 # User time : 2.462 s
% 0.64/95.82 # System time : 0.012 s
% 0.64/95.82 # Total time : 2.474 s
% 0.64/95.82 # Maximum resident set size: 27840 pages
%------------------------------------------------------------------------------