TSTP Solution File: SET715+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET715+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:19 EDT 2022
% Result : Theorem 0.38s 24.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 69 ( 6 unt; 0 def)
% Number of atoms : 451 ( 20 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 675 ( 293 ~; 315 |; 49 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-7 aty)
% Number of variables : 380 ( 23 sgn 93 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII06,conjecture,
! [X6,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> identity(compose_function(X6,inverse_function(X6,X1,X2),X2,X1,X2),X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thII06) ).
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(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(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(inverse_function,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_function) ).
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(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',identity) ).
fof(c_0_8,negated_conjecture,
~ ! [X6,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> identity(compose_function(X6,inverse_function(X6,X1,X2),X2,X1,X2),X2) ),
inference(assume_negation,[status(cth)],[thII06]) ).
fof(c_0_9,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])])])])]) ).
fof(c_0_10,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& one_to_one(esk1_0,esk2_0,esk3_0)
& ~ identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0,esk3_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk6_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk6_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(esk8_3(X9,X10,X11),X10)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
| member(esk7_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk8_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk9_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk7_3(X9,X10,X11),X18)
| maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
fof(c_0_12,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(esk13_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk14_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk15_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk13_3(X15,X16,X17),esk15_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk14_3(X15,X16,X17),esk15_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk13_3(X15,X16,X17) != esk14_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_13,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
one_to_one(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,plain,
( apply(X1,X4,esk6_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,negated_conjecture,
injective(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_19,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk5_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,esk5_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,esk5_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_20,plain,
( X1 = esk6_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk6_4(X2,X3,X4,X5),X7)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( member(esk6_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk3_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( apply(X5,esk5_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_19]) ).
cnf(c_0_24,plain,
( X1 = esk6_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_20,c_0_21]) ).
fof(c_0_25,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ apply(X7,X10,X11)
| apply(inverse_function(X7,X8,X9),X11,X10)
| ~ member(X10,X8)
| ~ member(X11,X9) )
& ( ~ apply(inverse_function(X7,X8,X9),X11,X10)
| apply(X7,X10,X11)
| ~ member(X10,X8)
| ~ member(X11,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_function])])]) ).
cnf(c_0_26,negated_conjecture,
( X1 = esk5_7(esk1_0,X2,X3,X4,X5,X6,X7)
| ~ apply(compose_function(esk1_0,X2,X3,X4,X5),X6,X7)
| ~ apply(esk1_0,X1,X7)
| ~ member(esk5_7(esk1_0,X2,X3,X4,X5,X6,X7),esk2_0)
| ~ member(X7,esk3_0)
| ~ member(X1,esk2_0)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( member(esk5_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_19]) ).
cnf(c_0_28,plain,
( esk6_4(X1,X2,X3,X4) = esk6_4(X1,X5,X6,X4)
| ~ maps(X1,X7,X6)
| ~ maps(X1,X5,X6)
| ~ maps(X1,X2,X3)
| ~ member(esk6_4(X1,X2,X3,X4),X6)
| ~ member(X4,X7)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_29,plain,
( apply(X5,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(inverse_function(X5,X4,X2),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( apply(X6,X3,esk5_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_19]) ).
cnf(c_0_31,negated_conjecture,
( X1 = esk5_7(esk1_0,X2,X3,esk2_0,X4,X5,X6)
| ~ apply(compose_function(esk1_0,X2,X3,esk2_0,X4),X5,X6)
| ~ apply(esk1_0,X1,X6)
| ~ member(X6,esk3_0)
| ~ member(X1,esk2_0)
| ~ member(X5,X3)
| ~ member(X6,X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( esk6_4(X1,X2,X3,X4) = esk6_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_28,c_0_21]) ).
cnf(c_0_33,negated_conjecture,
maps(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,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_19]) ).
cnf(c_0_35,plain,
( apply(X1,esk5_7(X2,inverse_function(X1,X3,X4),X5,X6,X7,X8,X9),X8)
| ~ apply(compose_function(X2,inverse_function(X1,X3,X4),X5,X6,X7),X8,X9)
| ~ member(esk5_7(X2,inverse_function(X1,X3,X4),X5,X6,X7,X8,X9),X3)
| ~ member(X8,X4)
| ~ member(X8,X5)
| ~ member(X9,X7) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( esk5_7(esk1_0,X1,X2,esk2_0,X3,X4,esk6_4(esk1_0,X5,X6,X7)) = X7
| ~ apply(compose_function(esk1_0,X1,X2,esk2_0,X3),X4,esk6_4(esk1_0,X5,X6,X7))
| ~ maps(esk1_0,X5,X6)
| ~ member(esk6_4(esk1_0,X5,X6,X7),esk3_0)
| ~ member(esk6_4(esk1_0,X5,X6,X7),X3)
| ~ member(X7,esk2_0)
| ~ member(X4,X2)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_31,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( esk6_4(esk1_0,X1,esk3_0,X2) = esk6_4(esk1_0,X3,esk3_0,X2)
| ~ maps(esk1_0,X3,esk3_0)
| ~ maps(esk1_0,X1,esk3_0)
| ~ member(X2,esk2_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ apply(X1,esk5_7(X8,X2,X9,X10,X11,X6,X12),X7)
| ~ apply(compose_function(X8,X2,X9,X10,X11),X6,X12)
| ~ member(esk5_7(X8,X2,X9,X10,X11,X6,X12),X4)
| ~ member(X6,X3)
| ~ member(X7,X5)
| ~ member(X6,X9)
| ~ member(X12,X11) ),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_39,plain,
( apply(X1,esk5_7(X2,inverse_function(X1,X3,X4),X5,X3,X6,X7,X8),X7)
| ~ apply(compose_function(X2,inverse_function(X1,X3,X4),X5,X3,X6),X7,X8)
| ~ member(X7,X4)
| ~ member(X7,X5)
| ~ member(X8,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( esk5_7(esk1_0,X1,X2,esk2_0,X3,X4,esk6_4(esk1_0,X5,esk3_0,X6)) = X6
| ~ apply(compose_function(esk1_0,X1,X2,esk2_0,X3),X4,esk6_4(esk1_0,X5,esk3_0,X6))
| ~ maps(esk1_0,X7,esk3_0)
| ~ maps(esk1_0,X5,esk3_0)
| ~ member(esk6_4(esk1_0,X5,esk3_0,X6),X3)
| ~ member(X6,esk2_0)
| ~ member(X4,X2)
| ~ member(X6,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]),c_0_21]) ).
cnf(c_0_41,plain,
( apply(inverse_function(X5,X4,X2),X1,X3)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
( apply(compose_function(X1,inverse_function(X1,X2,X3),X4,X5,X6),X7,X7)
| ~ apply(compose_function(X8,inverse_function(X1,X2,X3),X9,X2,X10),X7,X11)
| ~ member(esk5_7(X8,inverse_function(X1,X2,X3),X9,X2,X10,X7,X11),X5)
| ~ member(X7,X4)
| ~ member(X7,X6)
| ~ member(X7,X9)
| ~ member(X11,X10)
| ~ member(X7,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( esk5_7(esk1_0,X1,X2,esk2_0,X3,X4,esk6_4(esk1_0,X5,esk3_0,X6)) = X6
| ~ apply(compose_function(esk1_0,X1,X2,esk2_0,X3),X4,esk6_4(esk1_0,X5,esk3_0,X6))
| ~ maps(esk1_0,X5,esk3_0)
| ~ member(esk6_4(esk1_0,X5,esk3_0,X6),X3)
| ~ member(X6,esk2_0)
| ~ member(X4,X2)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_44,plain,
( apply(compose_function(X1,inverse_function(X2,X3,X4),X5,X6,X7),X8,X9)
| ~ apply(X1,X10,X9)
| ~ apply(X2,X10,X8)
| ~ member(X10,X6)
| ~ member(X8,X5)
| ~ member(X9,X7)
| ~ member(X10,X3)
| ~ member(X8,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ apply(compose_function(esk1_0,inverse_function(X1,esk2_0,X2),X7,esk2_0,X8),X6,esk6_4(esk1_0,X9,esk3_0,X10))
| ~ maps(esk1_0,X9,esk3_0)
| ~ member(esk6_4(esk1_0,X9,esk3_0,X10),X8)
| ~ member(X10,esk2_0)
| ~ member(X10,X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X7)
| ~ member(X6,X2)
| ~ member(X10,X9) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( apply(compose_function(X1,inverse_function(X2,X3,X4),X5,X6,X7),X8,esk6_4(X1,X9,X10,X11))
| ~ apply(X2,X11,X8)
| ~ maps(X1,X9,X10)
| ~ member(esk6_4(X1,X9,X10,X11),X7)
| ~ member(X11,X6)
| ~ member(X8,X5)
| ~ member(X11,X3)
| ~ member(X8,X4)
| ~ member(X11,X9) ),
inference(spm,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_47,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ apply(X1,X7,X6)
| ~ maps(esk1_0,X8,esk3_0)
| ~ member(esk6_4(esk1_0,X8,esk3_0,X7),X9)
| ~ member(X7,esk2_0)
| ~ member(X7,X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X10)
| ~ member(X6,X2)
| ~ member(X7,X8) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ apply(X1,X7,X6)
| ~ maps(esk1_0,X8,esk3_0)
| ~ member(X7,esk2_0)
| ~ member(X7,X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X9)
| ~ member(X6,X2)
| ~ member(X7,X8) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
fof(c_0_49,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk11_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk11_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk12_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk12_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_50,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ apply(X1,X7,X6)
| ~ member(X7,esk2_0)
| ~ member(X7,X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X8)
| ~ member(X6,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_51,plain,
( apply(X1,esk11_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ surjective(X1,X7,X8)
| ~ member(esk11_4(X1,X7,X8,X6),esk2_0)
| ~ member(esk11_4(X1,X7,X8,X6),X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X9)
| ~ member(X6,X2)
| ~ member(X6,X8) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
( member(esk11_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,X4,X5),X6,X6)
| ~ surjective(X1,esk2_0,X7)
| ~ member(esk11_4(X1,esk2_0,X7,X6),X4)
| ~ member(X6,X3)
| ~ member(X6,X5)
| ~ member(X6,X8)
| ~ member(X6,X2)
| ~ member(X6,X7) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_56,negated_conjecture,
( apply(compose_function(X1,inverse_function(X1,esk2_0,X2),X3,esk2_0,X4),X5,X5)
| ~ surjective(X1,esk2_0,X6)
| ~ member(X5,X3)
| ~ member(X5,X4)
| ~ member(X5,X7)
| ~ member(X5,X2)
| ~ member(X5,X6) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
surjective(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_55,c_0_14]) ).
fof(c_0_58,plain,
! [X7,X8,X9,X7,X8] :
( ( ~ identity(X7,X8)
| ~ member(X9,X8)
| apply(X7,X9,X9) )
& ( member(esk4_2(X7,X8),X8)
| identity(X7,X8) )
& ( ~ apply(X7,esk4_2(X7,X8),esk4_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_59,negated_conjecture,
( apply(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4,X4)
| ~ member(X4,esk3_0)
| ~ member(X4,X2)
| ~ member(X4,X3)
| ~ member(X4,X5)
| ~ member(X4,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
( identity(X1,X2)
| member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_61,plain,
( identity(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,negated_conjecture,
( identity(X1,X2)
| apply(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X3),X4,esk2_0,X5),esk4_2(X1,X2),esk4_2(X1,X2))
| ~ member(esk4_2(X1,X2),esk3_0)
| ~ member(esk4_2(X1,X2),X4)
| ~ member(esk4_2(X1,X2),X5)
| ~ member(esk4_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4),esk3_0)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4),X2)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4),X3)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
( identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),esk3_0)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),esk3_0),X2)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),esk3_0),X3)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),X2,esk2_0,X3),esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),esk3_0,esk2_0,X2),esk3_0)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),esk3_0,esk2_0,X2),esk3_0),X2)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),esk3_0,esk2_0,X2),esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),esk3_0,esk2_0,esk3_0),esk3_0)
| ~ member(esk4_2(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,X1),esk3_0,esk2_0,esk3_0),esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
~ identity(compose_function(esk1_0,inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0,esk3_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET715+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 01:29:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/24.56 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.38/24.56
% 0.38/24.56 # Failure: Resource limit exceeded (time)
% 0.38/24.56 # OLD status Res
% 0.38/24.56 # Preprocessing time : 0.028 s
% 0.38/24.56 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.38/24.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.38/24.56 # Preprocessing time : 0.009 s
% 0.38/24.56
% 0.38/24.56 # Proof found!
% 0.38/24.56 # SZS status Theorem
% 0.38/24.56 # SZS output start CNFRefutation
% See solution above
% 0.38/24.56 # Proof object total steps : 69
% 0.38/24.56 # Proof object clause steps : 52
% 0.38/24.56 # Proof object formula steps : 17
% 0.38/24.56 # Proof object conjectures : 29
% 0.38/24.56 # Proof object clause conjectures : 26
% 0.38/24.56 # Proof object formula conjectures : 3
% 0.38/24.56 # Proof object initial clauses used : 19
% 0.38/24.56 # Proof object initial formulas used : 8
% 0.38/24.56 # Proof object generating inferences : 33
% 0.38/24.56 # Proof object simplifying inferences : 3
% 0.38/24.56 # Training examples: 0 positive, 0 negative
% 0.38/24.56 # Parsed axioms : 29
% 0.38/24.56 # Removed by relevancy pruning/SinE : 21
% 0.38/24.56 # Initial clauses : 41
% 0.38/24.56 # Removed in clause preprocessing : 0
% 0.38/24.56 # Initial clauses in saturation : 41
% 0.38/24.56 # Processed clauses : 1032
% 0.38/24.56 # ...of these trivial : 0
% 0.38/24.56 # ...subsumed : 566
% 0.38/24.56 # ...remaining for further processing : 466
% 0.38/24.56 # Other redundant clauses eliminated : 0
% 0.38/24.56 # Clauses deleted for lack of memory : 0
% 0.38/24.56 # Backward-subsumed : 30
% 0.38/24.56 # Backward-rewritten : 0
% 0.38/24.56 # Generated clauses : 4309
% 0.38/24.56 # ...of the previous two non-trivial : 4264
% 0.38/24.56 # Contextual simplify-reflections : 1989
% 0.38/24.56 # Paramodulations : 4309
% 0.38/24.56 # Factorizations : 0
% 0.38/24.56 # Equation resolutions : 0
% 0.38/24.56 # Current number of processed clauses : 436
% 0.38/24.56 # Positive orientable unit clauses : 4
% 0.38/24.56 # Positive unorientable unit clauses: 0
% 0.38/24.56 # Negative unit clauses : 1
% 0.38/24.56 # Non-unit-clauses : 431
% 0.38/24.56 # Current number of unprocessed clauses: 3049
% 0.38/24.56 # ...number of literals in the above : 40191
% 0.38/24.56 # Current number of archived formulas : 0
% 0.38/24.56 # Current number of archived clauses : 30
% 0.38/24.56 # Clause-clause subsumption calls (NU) : 207574
% 0.38/24.56 # Rec. Clause-clause subsumption calls : 13994
% 0.38/24.56 # Non-unit clause-clause subsumptions : 2585
% 0.38/24.56 # Unit Clause-clause subsumption calls : 9
% 0.38/24.56 # Rewrite failures with RHS unbound : 0
% 0.38/24.56 # BW rewrite match attempts : 0
% 0.38/24.56 # BW rewrite match successes : 0
% 0.38/24.56 # Condensation attempts : 0
% 0.38/24.56 # Condensation successes : 0
% 0.38/24.56 # Termbank termtop insertions : 228925
% 0.38/24.56
% 0.38/24.56 # -------------------------------------------------
% 0.38/24.56 # User time : 0.305 s
% 0.38/24.56 # System time : 0.006 s
% 0.38/24.56 # Total time : 0.311 s
% 0.38/24.56 # Maximum resident set size: 10088 pages
% 0.38/46.43 eprover: CPU time limit exceeded, terminating
% 0.38/46.43 eprover: CPU time limit exceeded, terminating
% 0.38/46.43 eprover: CPU time limit exceeded, terminating
% 0.38/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.44 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------