%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET740+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 00:53:30 EDT 2022
% Result : Theorem 0.30s 12.46s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 130 ( 21 unt; 0 def)
% Number of atoms : 499 ( 39 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 586 ( 217 ~; 298 |; 57 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-7 aty)
% Number of variables : 361 ( 12 sgn 81 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII31,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& injective(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X1),X1,X1)
& surjective(compose_function(X6,compose_function(X9,X10,X2,X11,X1),X2,X1,X2),X2,X2)
& surjective(compose_function(X10,compose_function(X6,X9,X11,X1,X2),X11,X2,X11),X11,X11) )
=> one_to_one(X10,X2,X11) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thII31) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& injective(compose_function(X9,compose_function(X10,X6,X1,X2,X11),X1,X11,X1),X1,X1)
& surjective(compose_function(X6,compose_function(X9,X10,X2,X11,X1),X2,X1,X2),X2,X2)
& surjective(compose_function(X10,compose_function(X6,X9,X11,X1,X2),X11,X2,X11),X11,X11) )
=> one_to_one(X10,X2,X11) ),
inference(assume_negation,[status(cth)],[thII31]) ).
fof(c_0_7,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk7_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk7_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk8_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk8_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])])])])])])]) ).
fof(c_0_8,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk3_0,esk6_0,esk4_0)
& injective(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),esk4_0,esk4_0)
& surjective(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0)
& surjective(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0)
& ~ one_to_one(esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,plain,
( apply(X1,esk7_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
surjective(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( member(esk7_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk9_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,esk9_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,esk9_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_13,negated_conjecture,
( apply(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,X1),X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( surjective(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( member(esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
fof(c_0_16,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk13_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk13_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(esk15_3(X9,X10,X11),X10)
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk16_3(X9,X10,X11),X11)
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk17_3(X9,X10,X11),X11)
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk15_3(X9,X10,X11),esk16_3(X9,X10,X11))
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk15_3(X9,X10,X11),esk17_3(X9,X10,X11))
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk16_3(X9,X10,X11) != esk17_3(X9,X10,X11)
| member(esk14_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk15_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk14_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk16_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk14_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk17_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk14_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk15_3(X9,X10,X11),esk16_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk14_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk15_3(X9,X10,X11),esk17_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk14_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk16_3(X9,X10,X11) != esk17_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk14_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_17,plain,
( apply(X5,esk9_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_12]) ).
cnf(c_0_18,negated_conjecture,
( surjective(X1,X2,esk5_0)
| apply(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,esk8_3(X1,X2,esk5_0)),esk8_3(X1,X2,esk5_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( surjective(X1,X2,esk5_0)
| member(esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,esk8_3(X1,X2,esk5_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
fof(c_0_20,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(esk10_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk11_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk12_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk10_3(X15,X16,X17),esk12_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk11_3(X15,X16,X17),esk12_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk10_3(X15,X16,X17) != esk11_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_21,plain,
( apply(X1,X4,esk13_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
maps(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk8_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( surjective(X1,X2,esk5_0)
| apply(esk1_0,esk9_7(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0,esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,esk8_3(X1,X2,esk5_0)),esk8_3(X1,X2,esk5_0)),esk8_3(X1,X2,esk5_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),c_0_19]) ).
cnf(c_0_25,plain,
( member(esk9_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_12]) ).
cnf(c_0_26,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
surjective(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,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_12]) ).
cnf(c_0_29,plain,
( injective(X1,X2,X3)
| apply(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( apply(esk3_0,X1,esk13_4(esk3_0,esk6_0,esk4_0,X1))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( injective(X1,X2,X3)
| member(esk12_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( member(esk13_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( surjective(esk1_0,X1,esk5_0)
| ~ member(esk9_7(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0,esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,esk8_3(esk1_0,X1,esk5_0)),esk8_3(esk1_0,X1,esk5_0)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( surjective(X1,X2,esk5_0)
| member(esk9_7(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0,esk7_4(compose_function(esk1_0,compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0,esk5_0),esk5_0,esk5_0,esk8_3(X1,X2,esk5_0)),esk8_3(X1,X2,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_14]),c_0_19]) ).
cnf(c_0_35,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_16]) ).
cnf(c_0_36,negated_conjecture,
( apply(esk2_0,X1,esk13_4(esk2_0,esk5_0,esk6_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_37,plain,
( injective(X1,X2,X3)
| member(esk11_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,negated_conjecture,
( apply(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,X1),X1)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( member(esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_40,plain,
( injective(X1,X2,X3)
| apply(X1,esk10_3(X1,X2,X3),esk12_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,plain,
( injective(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,plain,
( injective(X1,X2,X3)
| apply(compose_function(X4,X1,X5,X6,X7),esk11_3(X1,X2,X3),X8)
| ~ apply(X4,esk12_3(X1,X2,X3),X8)
| ~ member(esk12_3(X1,X2,X3),X6)
| ~ member(esk11_3(X1,X2,X3),X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(esk3_0,esk12_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,negated_conjecture,
( member(esk13_4(esk3_0,esk6_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_45,negated_conjecture,
surjective(esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_46,plain,
( X1 = esk12_3(X2,X3,X4)
| injective(X2,X3,X4)
| ~ apply(X2,esk11_3(X2,X3,X4),X1)
| ~ maps(X2,X5,X6)
| ~ member(esk11_3(X2,X3,X4),X5)
| ~ member(esk12_3(X2,X3,X4),X6)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_47,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk2_0,esk11_3(X1,esk5_0,X2),esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(X1,esk5_0,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,negated_conjecture,
( member(esk13_4(esk2_0,esk5_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( surjective(X1,X2,esk6_0)
| apply(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,esk8_3(X1,X2,esk6_0)),esk8_3(X1,X2,esk6_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( surjective(X1,X2,esk6_0)
| member(esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,esk8_3(X1,X2,esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_51,plain,
( X1 = esk12_3(X2,X3,X4)
| injective(X2,X3,X4)
| ~ apply(X2,esk10_3(X2,X3,X4),X1)
| ~ maps(X2,X5,X6)
| ~ member(esk10_3(X2,X3,X4),X5)
| ~ member(esk12_3(X2,X3,X4),X6)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk2_0,esk10_3(X1,esk5_0,X2),esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(X1,esk5_0,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_41]) ).
cnf(c_0_53,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,X4,X5),esk11_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)),X5)
| ~ member(esk12_3(X1,X2,esk6_0),X4)
| ~ member(esk11_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
( injective(X1,X2,esk6_0)
| member(esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_55,plain,
( injective(X1,X2,X3)
| apply(compose_function(X4,X1,X5,X6,X7),esk10_3(X1,X2,X3),X8)
| ~ apply(X4,esk12_3(X1,X2,X3),X8)
| ~ member(esk12_3(X1,X2,X3),X6)
| ~ member(esk10_3(X1,X2,X3),X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_56,negated_conjecture,
( apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,X1),X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_45]) ).
cnf(c_0_57,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,X1)) = esk12_3(esk2_0,esk5_0,X1)
| injective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,X2,X3)
| ~ member(esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,X1)),X3)
| ~ member(esk11_3(esk2_0,esk5_0,X1),X2)
| ~ member(esk12_3(esk2_0,esk5_0,X1),X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(X1,esk5_0,X2)),esk6_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_59,negated_conjecture,
( surjective(X1,X2,esk6_0)
| apply(esk2_0,esk9_7(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0,esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,esk8_3(X1,X2,esk6_0)),esk8_3(X1,X2,esk6_0)),esk8_3(X1,X2,esk6_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_49]),c_0_14]),c_0_50]) ).
cnf(c_0_60,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,X1)) = esk12_3(esk2_0,esk5_0,X1)
| injective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,X2,X3)
| ~ member(esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,X1)),X3)
| ~ member(esk10_3(esk2_0,esk5_0,X1),X2)
| ~ member(esk12_3(esk2_0,esk5_0,X1),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(X1,esk5_0,X2)),esk6_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
cnf(c_0_62,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,X4,esk4_0),esk11_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk12_3(X1,X2,esk6_0),X4)
| ~ member(esk11_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,X4,X5),esk10_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)),X5)
| ~ member(esk12_3(X1,X2,esk6_0),X4)
| ~ member(esk10_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_64,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),esk11_3(X1,esk5_0,X2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_65,negated_conjecture,
( member(esk7_4(esk1_0,esk4_0,esk5_0,X1),esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_45]) ).
cnf(c_0_66,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,X1)) = esk12_3(esk2_0,esk5_0,X1)
| injective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,X2,esk6_0)
| ~ member(esk12_3(esk2_0,esk5_0,X1),esk6_0)
| ~ member(esk11_3(esk2_0,esk5_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_67,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_68,negated_conjecture,
( surjective(esk2_0,X1,esk6_0)
| ~ member(esk9_7(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0,esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,esk8_3(esk2_0,X1,esk6_0)),esk8_3(esk2_0,X1,esk6_0)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( surjective(X1,X2,esk6_0)
| member(esk9_7(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0,esk7_4(compose_function(esk2_0,compose_function(esk1_0,esk3_0,esk6_0,esk4_0,esk5_0),esk6_0,esk5_0,esk6_0),esk6_0,esk6_0,esk8_3(X1,X2,esk6_0)),esk8_3(X1,X2,esk6_0)),esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_49]),c_0_14]),c_0_50]) ).
cnf(c_0_70,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,X1)) = esk12_3(esk2_0,esk5_0,X1)
| injective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,X2,esk6_0)
| ~ member(esk12_3(esk2_0,esk5_0,X1),esk6_0)
| ~ member(esk10_3(esk2_0,esk5_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,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_20]) ).
cnf(c_0_72,negated_conjecture,
injective(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),esk4_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_73,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,esk6_0,esk4_0),esk11_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk11_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_74,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,X4,esk4_0),esk10_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk12_3(X1,X2,esk6_0),X4)
| ~ member(esk10_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_75,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X3,esk1_0,X4,X5,X6),esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),X7)
| ~ apply(X3,esk11_3(X1,esk5_0,X2),X7)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),X4)
| ~ member(esk11_3(X1,esk5_0,X2),X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[c_0_28,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_37]) ).
cnf(c_0_77,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0)
| injective(esk2_0,esk5_0,esk6_0)
| ~ maps(esk2_0,X1,esk6_0)
| ~ member(esk11_3(esk2_0,esk5_0,esk6_0),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_31]) ).
cnf(c_0_78,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,negated_conjecture,
surjective(esk2_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_80,negated_conjecture,
~ one_to_one(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_81,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0)
| injective(esk2_0,esk5_0,esk6_0)
| ~ maps(esk2_0,X1,esk6_0)
| ~ member(esk10_3(esk2_0,esk5_0,esk6_0),X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_82,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X2,X3)
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X2,esk6_0,esk4_0),esk11_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_37]) ).
cnf(c_0_84,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X3,esk6_0,esk4_0),esk10_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0)))
| ~ member(esk10_3(X1,X2,esk6_0),X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_31]) ).
cnf(c_0_85,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X3,esk1_0,esk4_0,X4,X5),esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),X6)
| ~ apply(X3,esk11_3(X1,esk5_0,X2),X6)
| ~ member(esk11_3(X1,esk5_0,X2),X4)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_86,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0)
| injective(esk2_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_37]),c_0_26])]) ).
cnf(c_0_87,negated_conjecture,
~ injective(esk2_0,esk5_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),esk10_3(X1,esk5_0,X2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
cnf(c_0_89,negated_conjecture,
( esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0)
| injective(esk2_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_41]),c_0_26])]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk11_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
| injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
| ~ apply(compose_function(esk3_0,compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0,esk4_0),X1,esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)))
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_37]),c_0_54]) ).
cnf(c_0_91,negated_conjecture,
( injective(X1,X2,esk6_0)
| apply(compose_function(esk3_0,X1,X2,esk6_0,esk4_0),esk10_3(X1,X2,esk6_0),esk13_4(esk3_0,esk6_0,esk4_0,esk12_3(X1,X2,esk6_0))) ),
inference(spm,[status(thm)],[c_0_84,c_0_41]) ).
cnf(c_0_92,plain,
( injective(X1,X2,X3)
| esk10_3(X1,X2,X3) != esk11_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_93,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X1,esk1_0,esk4_0,X3,X4),esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),esk12_3(X1,esk5_0,X2))
| ~ member(esk11_3(X1,esk5_0,X2),X3)
| ~ member(esk12_3(X1,esk5_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_85,c_0_29]) ).
cnf(c_0_94,negated_conjecture,
esk13_4(esk2_0,esk5_0,esk6_0,esk11_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X3,esk1_0,X4,X5,X6),esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),X7)
| ~ apply(X3,esk10_3(X1,esk5_0,X2),X7)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),X4)
| ~ member(esk10_3(X1,esk5_0,X2),X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[c_0_28,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_97,negated_conjecture,
esk13_4(esk2_0,esk5_0,esk6_0,esk10_3(esk2_0,esk5_0,esk6_0)) = esk12_3(esk2_0,esk5_0,esk6_0),
inference(sr,[status(thm)],[c_0_89,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_99,negated_conjecture,
injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_41]),c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X1,esk1_0,esk4_0,esk5_0,X3),esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),esk12_3(X1,esk5_0,X2))
| ~ member(esk12_3(X1,esk5_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_37]) ).
cnf(c_0_101,negated_conjecture,
member(esk12_3(esk2_0,esk5_0,esk6_0),esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_94]),c_0_87]) ).
cnf(c_0_102,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(compose_function(X3,esk1_0,esk4_0,X4,X5),esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),X6)
| ~ apply(X3,esk10_3(X1,esk5_0,X2),X6)
| ~ member(esk10_3(X1,esk5_0,X2),X4)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
apply(esk2_0,esk10_3(esk2_0,esk5_0,esk6_0),esk12_3(esk2_0,esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_97]),c_0_87]) ).
cnf(c_0_104,negated_conjecture,
( apply(esk1_0,X1,esk13_4(esk1_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X3)
| ~ member(X3,esk6_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0)),esk12_3(esk2_0,esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_87]) ).
cnf(c_0_107,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,X1,X2),esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0)),esk12_3(esk2_0,esk5_0,esk6_0))
| ~ member(esk10_3(esk2_0,esk5_0,esk6_0),X1)
| ~ member(esk12_3(esk2_0,esk5_0,esk6_0),X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_87]) ).
cnf(c_0_108,negated_conjecture,
( X1 = esk11_3(X2,esk5_0,X3)
| injective(X2,esk5_0,X3)
| ~ apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X2,esk5_0,X3)),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X2,esk5_0,X3)),X4)
| ~ member(esk11_3(X2,esk5_0,X3),X5)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_64]) ).
cnf(c_0_109,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_76]) ).
cnf(c_0_110,negated_conjecture,
( member(esk13_4(esk1_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_98]) ).
cnf(c_0_111,negated_conjecture,
( X1 = esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0))
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk12_3(esk2_0,esk5_0,esk6_0))
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0)),esk4_0)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_101])]) ).
cnf(c_0_112,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,X1),esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0)),esk12_3(esk2_0,esk5_0,esk6_0))
| ~ member(esk12_3(esk2_0,esk5_0,esk6_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_41]),c_0_87]) ).
cnf(c_0_113,negated_conjecture,
( X1 = esk10_3(X2,esk5_0,X3)
| injective(X2,esk5_0,X3)
| ~ apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X2,esk5_0,X3)),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X2,esk5_0,X3)),X4)
| ~ member(esk10_3(X2,esk5_0,X3),X5)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_88]) ).
cnf(c_0_114,negated_conjecture,
( injective(X1,esk5_0,X2)
| apply(esk1_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_96]) ).
cnf(c_0_115,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2))) = esk11_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2))),X4)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),X3)
| ~ member(esk11_3(X1,esk5_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2))),esk5_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_76]) ).
cnf(c_0_117,negated_conjecture,
( X1 = esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0))
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk12_3(esk2_0,esk5_0,esk6_0))
| ~ member(X1,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_76]),c_0_87]) ).
cnf(c_0_118,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0)),esk12_3(esk2_0,esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_112,c_0_101]) ).
cnf(c_0_119,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2))) = esk10_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2))),X4)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),X3)
| ~ member(esk10_3(X1,esk5_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
( injective(X1,esk5_0,X2)
| member(esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2))),esk5_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_96]) ).
cnf(c_0_121,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2))) = esk11_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2)
| ~ maps(esk1_0,X3,esk5_0)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2)),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_37]) ).
cnf(c_0_122,negated_conjecture,
( esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0)) = esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0))
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2))) = esk10_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2)
| ~ maps(esk1_0,X3,esk5_0)
| ~ member(esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2)),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_41]) ).
cnf(c_0_124,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(X1,esk5_0,X2))) = esk11_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_76]),c_0_98])]) ).
cnf(c_0_125,negated_conjecture,
esk7_4(esk1_0,esk4_0,esk5_0,esk11_3(esk2_0,esk5_0,esk6_0)) = esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_96]),c_0_87]) ).
cnf(c_0_126,negated_conjecture,
( esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(X1,esk5_0,X2))) = esk10_3(X1,esk5_0,X2)
| injective(X1,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_96]),c_0_98])]) ).
cnf(c_0_127,negated_conjecture,
esk13_4(esk1_0,esk4_0,esk5_0,esk7_4(esk1_0,esk4_0,esk5_0,esk10_3(esk2_0,esk5_0,esk6_0))) = esk11_3(esk2_0,esk5_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_87]) ).
cnf(c_0_128,negated_conjecture,
esk11_3(esk2_0,esk5_0,esk6_0) = esk10_3(esk2_0,esk5_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_87]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_128]),c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET740+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 05:35:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.30/12.46 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.30/12.46 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.30/12.46 # Preprocessing time : 0.017 s
% 0.30/12.46
% 0.30/12.46 # Proof found!
% 0.30/12.46 # SZS status Theorem
% 0.30/12.46 # SZS output start CNFRefutation
% See solution above
% 0.30/12.46 # Proof object total steps : 130
% 0.30/12.46 # Proof object clause steps : 117
% 0.30/12.46 # Proof object formula steps : 13
% 0.30/12.46 # Proof object conjectures : 98
% 0.30/12.46 # Proof object clause conjectures : 95
% 0.30/12.46 # Proof object formula conjectures : 3
% 0.30/12.46 # Proof object initial clauses used : 25
% 0.30/12.46 # Proof object initial formulas used : 6
% 0.30/12.46 # Proof object generating inferences : 90
% 0.30/12.46 # Proof object simplifying inferences : 37
% 0.30/12.46 # Training examples: 0 positive, 0 negative
% 0.30/12.46 # Parsed axioms : 29
% 0.30/12.46 # Removed by relevancy pruning/SinE : 23
% 0.30/12.46 # Initial clauses : 40
% 0.30/12.46 # Removed in clause preprocessing : 0
% 0.30/12.46 # Initial clauses in saturation : 40
% 0.30/12.46 # Processed clauses : 21725
% 0.30/12.46 # ...of these trivial : 189
% 0.30/12.46 # ...subsumed : 7452
% 0.30/12.46 # ...remaining for further processing : 14084
% 0.30/12.46 # Other redundant clauses eliminated : 0
% 0.30/12.46 # Clauses deleted for lack of memory : 0
% 0.30/12.46 # Backward-subsumed : 550
% 0.30/12.46 # Backward-rewritten : 2879
% 0.30/12.46 # Generated clauses : 69535
% 0.30/12.46 # ...of the previous two non-trivial : 69819
% 0.30/12.46 # Contextual simplify-reflections : 2047
% 0.30/12.46 # Paramodulations : 69533
% 0.30/12.46 # Factorizations : 0
% 0.30/12.46 # Equation resolutions : 0
% 0.30/12.46 # Current number of processed clauses : 10653
% 0.30/12.46 # Positive orientable unit clauses : 2161
% 0.30/12.46 # Positive unorientable unit clauses: 0
% 0.30/12.46 # Negative unit clauses : 2
% 0.30/12.46 # Non-unit-clauses : 8490
% 0.30/12.46 # Current number of unprocessed clauses: 38023
% 0.30/12.46 # ...number of literals in the above : 109483
% 0.30/12.46 # Current number of archived formulas : 0
% 0.30/12.46 # Current number of archived clauses : 3431
% 0.30/12.46 # Clause-clause subsumption calls (NU) : 20943607
% 0.30/12.46 # Rec. Clause-clause subsumption calls : 13642101
% 0.30/12.46 # Non-unit clause-clause subsumptions : 10049
% 0.30/12.46 # Unit Clause-clause subsumption calls : 267079
% 0.30/12.46 # Rewrite failures with RHS unbound : 0
% 0.30/12.46 # BW rewrite match attempts : 1357100
% 0.30/12.46 # BW rewrite match successes : 82
% 0.30/12.46 # Condensation attempts : 0
% 0.30/12.46 # Condensation successes : 0
% 0.30/12.46 # Termbank termtop insertions : 9343899
% 0.30/12.46
% 0.30/12.46 # -------------------------------------------------
% 0.30/12.46 # User time : 11.307 s
% 0.30/12.46 # System time : 0.128 s
% 0.30/12.46 # Total time : 11.435 s
% 0.30/12.46 # Maximum resident set size: 155064 pages
% 0.30/23.40 eprover: CPU time limit exceeded, terminating
% 0.30/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.42 eprover: No such file or directory
% 0.30/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.43 eprover: No such file or directory
% 0.30/23.43 eprover: CPU time limit exceeded, terminating
% 0.30/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.43 eprover: No such file or directory
% 0.30/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.44 eprover: No such file or directory
% 0.30/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.44 eprover: No such file or directory
% 0.30/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.45 eprover: No such file or directory
% 0.30/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45 eprover: No such file or directory
% 0.30/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.45 eprover: No such file or directory
% 0.30/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45 eprover: No such file or directory
% 0.30/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.45 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------