%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET712+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:15:03 PM UTC 2026
% Result : Theorem 12.45s 2.64s
% Output : CNFRefutation 12.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 6
% Syntax : Number of formulae : 131 ( 15 unt; 0 def)
% Number of atoms : 678 ( 43 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 943 ( 396 ~; 492 |; 41 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 561 ( 0 sgn 67 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3,X7,X8] :
( ( member(X8,X2)
& member(X7,X2)
& member(X3,X1) )
=> ( ( apply(X6,X3,X8)
& apply(X6,X3,X7) )
=> X7 = X8 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X5] :
( apply(X6,X3,X5)
& member(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(inverse_function,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X5,X2)
& member(X3,X1) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_function) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X5,X2)
& member(X14,X1)
& member(X13,X1) )
=> ( ( apply(X6,X14,X5)
& apply(X6,X13,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( apply(X6,X4,X5)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(thII03,conjecture,
! [X6,X1,X2] :
( ( one_to_one(X6,X1,X2)
& maps(X6,X1,X2) )
=> maps(inverse_function(X6,X1,X2),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII03) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( surjective(X6,X1,X2)
& injective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(c_0_6,plain,
! [X20,X21,X22,X23,X25,X26,X27,X28,X29,X30,X32] :
( ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| esk7_3(X28,X29,X30) != esk8_3(X28,X29,X30) )
& ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| apply(X28,esk6_3(X28,X29,X30),esk8_3(X28,X29,X30)) )
& ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| apply(X28,esk6_3(X28,X29,X30),esk7_3(X28,X29,X30)) )
& ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| member(esk8_3(X28,X29,X30),X30) )
& ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| member(esk7_3(X28,X29,X30),X30) )
& ( maps(X28,X29,X30)
| ~ apply(X28,esk5_3(X28,X29,X30),X32)
| ~ member(X32,X30)
| member(esk6_3(X28,X29,X30),X29) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| esk7_3(X28,X29,X30) != esk8_3(X28,X29,X30) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| apply(X28,esk6_3(X28,X29,X30),esk8_3(X28,X29,X30)) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| apply(X28,esk6_3(X28,X29,X30),esk7_3(X28,X29,X30)) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| member(esk8_3(X28,X29,X30),X30) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| member(esk7_3(X28,X29,X30),X30) )
& ( maps(X28,X29,X30)
| member(esk5_3(X28,X29,X30),X29)
| member(esk6_3(X28,X29,X30),X29) )
& ( ~ maps(X20,X21,X22)
| X26 = X27
| ~ apply(X20,X25,X27)
| ~ apply(X20,X25,X26)
| ~ member(X27,X22)
| ~ member(X26,X22)
| ~ member(X25,X21) )
& ( ~ maps(X20,X21,X22)
| ~ member(X23,X21)
| apply(X20,X23,esk4_4(X20,X21,X22,X23)) )
& ( ~ maps(X20,X21,X22)
| ~ member(X23,X21)
| member(esk4_4(X20,X21,X22,X23),X22) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
cnf(c_0_7,plain,
( ~ maps(X6,X2,X4)
| ~ apply(X6,X1,X5)
| ~ apply(X6,X1,X3)
| ~ member(X5,X4)
| ~ member(X3,X4)
| ~ member(X1,X2)
| X3 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,plain,
( ~ maps(X1,X3,X4)
| ~ member(X2,X3)
| apply(X1,X2,esk4_4(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X36,X37,X38,X39,X40] :
( ( ~ member(X40,X38)
| ~ member(X39,X37)
| apply(X36,X39,X40)
| ~ apply(inverse_function(X36,X37,X38),X40,X39) )
& ( ~ member(X40,X38)
| ~ member(X39,X37)
| apply(inverse_function(X36,X37,X38),X40,X39)
| ~ apply(X36,X39,X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_function])])])]) ).
fof(c_0_10,plain,
! [X54,X55,X56,X57,X58,X59,X60,X61,X62] :
( ( injective(X60,X61,X62)
| esk11_3(X60,X61,X62) != esk12_3(X60,X61,X62) )
& ( injective(X60,X61,X62)
| apply(X60,esk12_3(X60,X61,X62),esk13_3(X60,X61,X62)) )
& ( injective(X60,X61,X62)
| apply(X60,esk11_3(X60,X61,X62),esk13_3(X60,X61,X62)) )
& ( injective(X60,X61,X62)
| member(esk13_3(X60,X61,X62),X62) )
& ( injective(X60,X61,X62)
| member(esk12_3(X60,X61,X62),X61) )
& ( injective(X60,X61,X62)
| member(esk11_3(X60,X61,X62),X61) )
& ( X57 = X58
| ~ apply(X54,X58,X59)
| ~ apply(X54,X57,X59)
| ~ member(X59,X56)
| ~ member(X58,X55)
| ~ member(X57,X55)
| ~ injective(X54,X55,X56) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).
cnf(c_0_11,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(esk4_4(X2,X3,X4,X5),X7)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X7)
| ~ apply(X2,X5,X1)
| X1 = esk4_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( ~ maps(X1,X2,X3)
| ~ member(X4,X2)
| member(esk4_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( ~ member(X4,X3)
| ~ member(X5,X2)
| ~ apply(inverse_function(X1,X2,X3),X4,X5)
| apply(X1,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( injective(X1,X2,X3)
| apply(X1,esk12_3(X1,X2,X3),esk13_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( injective(X1,X2,X3)
| apply(X1,esk11_3(X1,X2,X3),esk13_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X4)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X4)
| ~ apply(X2,X5,X1)
| X1 = esk4_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ member(esk12_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk13_3(inverse_function(X1,X2,X3),X4,X5),X2)
| apply(X1,esk13_3(inverse_function(X1,X2,X3),X4,X5),esk12_3(inverse_function(X1,X2,X3),X4,X5))
| injective(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ member(esk11_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk13_3(inverse_function(X1,X2,X3),X4,X5),X2)
| apply(X1,esk13_3(inverse_function(X1,X2,X3),X4,X5),esk11_3(inverse_function(X1,X2,X3),X4,X5))
| injective(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_19,plain,
( ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X7),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X4)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X2)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X8)
| ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X7),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X8,X3)
| injective(inverse_function(X1,X4,X5),X6,X7)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X7)) = esk12_3(inverse_function(X1,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( injective(X1,X2,X3)
| member(esk13_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X7),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X4)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X2)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X8)
| ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X7),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X8,X3)
| injective(inverse_function(X1,X4,X5),X6,X7)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X7)) = esk11_3(inverse_function(X1,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_22,plain,
( ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X7),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X4)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X2)
| ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X7),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X7,X3)
| injective(inverse_function(X1,X4,X5),X6,X7)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X7)) = esk12_3(inverse_function(X1,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X7),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X4)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X7),X2)
| ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X7),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X7,X3)
| injective(inverse_function(X1,X4,X5),X6,X7)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X7)) = esk11_3(inverse_function(X1,X4,X5),X6,X7) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_24,plain,
( ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X4),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X4),X2)
| ~ member(esk12_3(inverse_function(X1,X4,X5),X6,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(inverse_function(X1,X4,X5),X6,X4)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X4)) = esk12_3(inverse_function(X1,X4,X5),X6,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_25,plain,
( injective(X1,X2,X3)
| member(esk12_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X4),X5)
| ~ member(esk13_3(inverse_function(X1,X4,X5),X6,X4),X2)
| ~ member(esk11_3(inverse_function(X1,X4,X5),X6,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(inverse_function(X1,X4,X5),X6,X4)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X6,X4)) = esk11_3(inverse_function(X1,X4,X5),X6,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_27,plain,
( injective(X1,X2,X3)
| member(esk11_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( ~ member(esk13_3(inverse_function(X1,X4,X5),X5,X4),X2)
| ~ member(esk12_3(inverse_function(X1,X4,X5),X5,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(inverse_function(X1,X4,X5),X5,X4)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X5,X4)) = esk12_3(inverse_function(X1,X4,X5),X5,X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( ~ member(esk13_3(inverse_function(X1,X4,X5),X5,X4),X2)
| ~ member(esk11_3(inverse_function(X1,X4,X5),X5,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(inverse_function(X1,X4,X5),X5,X4)
| esk4_4(X1,X2,X3,esk13_3(inverse_function(X1,X4,X5),X5,X4)) = esk11_3(inverse_function(X1,X4,X5),X5,X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( esk11_3(X1,X2,X3) != esk12_3(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( ~ member(esk11_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ member(esk13_3(inverse_function(X1,X2,X3),X3,X2),X5)
| ~ member(esk12_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ maps(X1,X5,X4)
| ~ maps(X1,X2,X4)
| injective(inverse_function(X1,X2,X3),X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_32,plain,
( ~ member(esk13_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| injective(inverse_function(X1,X2,X3),X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_27]) ).
cnf(c_0_33,plain,
( ~ apply(X1,X5,X6)
| ~ apply(X1,X4,X6)
| ~ member(X6,X3)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ injective(X1,X2,X3)
| X4 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,plain,
( ~ maps(X1,X2,X3)
| injective(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
fof(c_0_35,plain,
! [X44,X45,X46,X47,X49,X50,X51,X53] :
( ( surjective(X49,X50,X51)
| ~ apply(X49,X53,esk10_3(X49,X50,X51))
| ~ member(X53,X50) )
& ( surjective(X49,X50,X51)
| member(esk10_3(X49,X50,X51),X51) )
& ( ~ surjective(X44,X45,X46)
| ~ member(X47,X46)
| apply(X44,esk9_4(X44,X45,X46,X47),X47) )
& ( ~ surjective(X44,X45,X46)
| ~ member(X47,X46)
| member(esk9_4(X44,X45,X46,X47),X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).
cnf(c_0_36,plain,
( ~ member(X1,X5)
| ~ member(X2,X5)
| ~ member(X6,X4)
| ~ maps(X3,X4,X5)
| ~ apply(inverse_function(X3,X4,X5),X1,X6)
| ~ apply(inverse_function(X3,X4,X5),X2,X6)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ member(X3,X5)
| ~ member(X2,X4)
| ~ apply(X1,X2,X3)
| apply(inverse_function(X1,X4,X5),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,plain,
( ~ apply(X3,X1,esk10_3(X3,X2,X4))
| ~ member(X1,X2)
| surjective(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( ~ member(X1,X5)
| ~ member(X2,X5)
| ~ member(X6,X4)
| ~ maps(X3,X4,X5)
| ~ apply(X3,X6,X2)
| ~ apply(inverse_function(X3,X4,X5),X1,X6)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| apply(X1,esk9_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( ~ member(X6,X3)
| ~ member(X6,X4)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ apply(X1,esk10_3(inverse_function(X1,X2,X3),X4,X5),X6)
| surjective(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_42,plain,
( ~ member(X6,X5)
| ~ member(X7,X3)
| ~ member(X6,X2)
| ~ member(esk9_4(inverse_function(X1,X2,X3),X4,X5,X6),X3)
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X7)
| ~ surjective(inverse_function(X1,X2,X3),X4,X5)
| esk9_4(inverse_function(X1,X2,X3),X4,X5,X6) = X7 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| member(esk9_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk4_4(X1,X6,X7,esk10_3(inverse_function(X1,X2,X3),X4,X5)),X3)
| ~ member(esk4_4(X1,X6,X7,esk10_3(inverse_function(X1,X2,X3),X4,X5)),X4)
| ~ maps(X1,X6,X7)
| surjective(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_41,c_0_8]) ).
cnf(c_0_45,plain,
( ~ member(X5,X4)
| ~ member(X6,X3)
| ~ member(X5,X2)
| ~ maps(X1,X2,X3)
| ~ apply(X1,X5,X6)
| ~ surjective(inverse_function(X1,X2,X3),X3,X4)
| esk9_4(inverse_function(X1,X2,X3),X3,X4,X5) = X6 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X4,X5),X2)
| ~ member(esk4_4(X1,X6,X4,esk10_3(inverse_function(X1,X2,X3),X4,X5)),X3)
| ~ maps(X1,X6,X4)
| surjective(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_44,c_0_12]) ).
cnf(c_0_47,plain,
( ~ member(X5,X6)
| ~ member(X5,X4)
| ~ member(X5,X2)
| ~ member(esk4_4(X1,X6,X7,X5),X3)
| ~ maps(X1,X6,X7)
| ~ maps(X1,X2,X3)
| ~ surjective(inverse_function(X1,X2,X3),X3,X4)
| esk9_4(inverse_function(X1,X2,X3),X3,X4,X5) = esk4_4(X1,X6,X7,X5) ),
inference(spm,[status(thm)],[c_0_45,c_0_8]) ).
cnf(c_0_48,plain,
( ~ member(esk10_3(inverse_function(X1,X2,X3),X3,X4),X5)
| ~ member(esk10_3(inverse_function(X1,X2,X3),X3,X4),X2)
| ~ maps(X1,X5,X3)
| surjective(inverse_function(X1,X2,X3),X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_12]) ).
cnf(c_0_49,plain,
( surjective(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( ~ member(X5,X6)
| ~ member(X5,X4)
| ~ member(X5,X2)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ surjective(inverse_function(X1,X2,X3),X3,X4)
| esk9_4(inverse_function(X1,X2,X3),X3,X4,X5) = esk4_4(X1,X6,X3,X5) ),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_51,plain,
( ~ member(esk10_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ maps(X1,X4,X3)
| surjective(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,plain,
( ~ member(X5,X4)
| ~ member(X5,X2)
| ~ member(X5,X6)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ surjective(inverse_function(X1,X2,X3),X3,X6)
| apply(inverse_function(X1,X2,X3),esk4_4(X1,X4,X3,X5),X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_53,plain,
( ~ maps(X1,X2,X3)
| surjective(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_54,plain,
( ~ member(X5,X4)
| ~ member(X5,X2)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| apply(inverse_function(X1,X2,X3),esk4_4(X1,X4,X3,X5),X5) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
( ~ member(X5,X3)
| ~ member(X1,X4)
| ~ member(X5,X6)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X4)
| ~ apply(inverse_function(X2,X6,X4),X1,X5)
| X1 = esk4_4(X2,X3,X4,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_54]),c_0_12]) ).
cnf(c_0_56,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_57,negated_conjecture,
~ ! [X6,X1,X2] :
( ( one_to_one(X6,X1,X2)
& maps(X6,X1,X2) )
=> maps(inverse_function(X6,X1,X2),X2,X1) ),
inference(assume_negation,[status(cth)],[thII03]) ).
cnf(c_0_58,plain,
( ~ member(esk8_3(inverse_function(X1,X4,X3),X5,X6),X2)
| ~ member(esk6_3(inverse_function(X1,X4,X3),X5,X6),X3)
| ~ member(esk8_3(inverse_function(X1,X4,X3),X5,X6),X4)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X5,X6),X5)
| maps(inverse_function(X1,X4,X3),X5,X6)
| esk4_4(X1,X2,X3,esk8_3(inverse_function(X1,X4,X3),X5,X6)) = esk6_3(inverse_function(X1,X4,X3),X5,X6) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_60,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_61,plain,
! [X41,X42,X43] :
( ( one_to_one(X41,X42,X43)
| ~ surjective(X41,X42,X43)
| ~ injective(X41,X42,X43) )
& ( ~ one_to_one(X41,X42,X43)
| surjective(X41,X42,X43) )
& ( ~ one_to_one(X41,X42,X43)
| injective(X41,X42,X43) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])]) ).
fof(c_0_62,negated_conjecture,
( ~ maps(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0)
& one_to_one(esk1_0,esk2_0,esk3_0)
& maps(esk1_0,esk2_0,esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
cnf(c_0_63,plain,
( ~ member(esk8_3(inverse_function(X1,X4,X3),X5,X4),X2)
| ~ member(esk6_3(inverse_function(X1,X4,X3),X5,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X5,X4),X5)
| maps(inverse_function(X1,X4,X3),X5,X4)
| esk4_4(X1,X2,X3,esk8_3(inverse_function(X1,X4,X3),X5,X4)) = esk6_3(inverse_function(X1,X4,X3),X5,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_65,plain,
( ~ member(esk7_3(inverse_function(X1,X4,X3),X5,X6),X2)
| ~ member(esk6_3(inverse_function(X1,X4,X3),X5,X6),X3)
| ~ member(esk7_3(inverse_function(X1,X4,X3),X5,X6),X4)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X5,X6),X5)
| maps(inverse_function(X1,X4,X3),X5,X6)
| esk4_4(X1,X2,X3,esk7_3(inverse_function(X1,X4,X3),X5,X6)) = esk6_3(inverse_function(X1,X4,X3),X5,X6) ),
inference(spm,[status(thm)],[c_0_55,c_0_60]) ).
cnf(c_0_66,plain,
( maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_67,plain,
( ~ one_to_one(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
one_to_one(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( ~ member(esk8_3(inverse_function(X1,X4,X3),X3,X4),X2)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X3,X4),X3)
| maps(inverse_function(X1,X4,X3),X3,X4)
| esk4_4(X1,X2,X3,esk8_3(inverse_function(X1,X4,X3),X3,X4)) = esk6_3(inverse_function(X1,X4,X3),X3,X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
( ~ member(esk7_3(inverse_function(X1,X4,X3),X5,X4),X2)
| ~ member(esk6_3(inverse_function(X1,X4,X3),X5,X4),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X5,X4),X5)
| maps(inverse_function(X1,X4,X3),X5,X4)
| esk4_4(X1,X2,X3,esk7_3(inverse_function(X1,X4,X3),X5,X4)) = esk6_3(inverse_function(X1,X4,X3),X5,X4) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
injective(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( ~ member(esk8_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2)
| apply(X1,esk8_3(inverse_function(X1,X2,X3),X3,X2),esk6_3(inverse_function(X1,X2,X3),X3,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_69]) ).
cnf(c_0_73,plain,
( ~ member(esk7_3(inverse_function(X1,X4,X3),X3,X4),X2)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X4,X3),X3,X4),X3)
| maps(inverse_function(X1,X4,X3),X3,X4)
| esk4_4(X1,X2,X3,esk7_3(inverse_function(X1,X4,X3),X3,X4)) = esk6_3(inverse_function(X1,X4,X3),X3,X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_64]) ).
cnf(c_0_74,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_75,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_76,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X3,esk3_0)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk1_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_33,c_0_71]) ).
cnf(c_0_77,plain,
( ~ maps(X1,X2,X3)
| member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2)
| apply(X1,esk8_3(inverse_function(X1,X2,X3),X3,X2),esk6_3(inverse_function(X1,X2,X3),X3,X2)) ),
inference(spm,[status(thm)],[c_0_72,c_0_59]) ).
cnf(c_0_78,plain,
( ~ member(esk7_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2)
| apply(X1,esk7_3(inverse_function(X1,X2,X3),X3,X2),esk6_3(inverse_function(X1,X2,X3),X3,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_73]) ).
cnf(c_0_79,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_80,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| member(esk7_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_74,c_0_37]) ).
cnf(c_0_81,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| member(esk6_3(inverse_function(X1,X2,X3),X4,X5),X4)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_75,c_0_37]) ).
cnf(c_0_82,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(esk8_3(inverse_function(esk1_0,X2,X3),X3,X2),esk2_0)
| ~ member(esk6_3(inverse_function(esk1_0,X2,X3),X3,X2),esk3_0)
| ~ maps(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,esk6_3(inverse_function(esk1_0,X2,X3),X3,X2))
| member(esk5_3(inverse_function(esk1_0,X2,X3),X3,X2),X3)
| maps(inverse_function(esk1_0,X2,X3),X3,X2)
| X1 = esk8_3(inverse_function(esk1_0,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( ~ maps(X1,X2,X3)
| member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2)
| apply(X1,esk7_3(inverse_function(X1,X2,X3),X3,X2),esk6_3(inverse_function(X1,X2,X3),X3,X2)) ),
inference(spm,[status(thm)],[c_0_78,c_0_66]) ).
cnf(c_0_84,plain,
( esk7_3(X1,X2,X3) != esk8_3(X1,X2,X3)
| maps(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_85,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_86,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk7_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_79,c_0_37]) ).
cnf(c_0_87,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| member(esk7_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_80,c_0_40]) ).
cnf(c_0_88,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| member(esk6_3(inverse_function(X1,X2,X3),X4,X5),X4)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_81,c_0_40]) ).
cnf(c_0_89,negated_conjecture,
( ~ member(esk7_3(inverse_function(esk1_0,X1,X2),X2,X1),esk2_0)
| ~ member(esk8_3(inverse_function(esk1_0,X1,X2),X2,X1),esk2_0)
| ~ member(esk6_3(inverse_function(esk1_0,X1,X2),X2,X1),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk5_3(inverse_function(esk1_0,X1,X2),X2,X1),X2)
| maps(inverse_function(esk1_0,X1,X2),X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_90,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_91,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| member(esk8_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_85,c_0_37]) ).
cnf(c_0_92,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk7_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_86,c_0_40]) ).
cnf(c_0_93,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| member(esk7_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_87,c_0_43]) ).
cnf(c_0_94,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| member(esk6_3(inverse_function(X1,X2,X3),X4,X5),X4)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_88,c_0_43]) ).
cnf(c_0_95,negated_conjecture,
( ~ member(esk6_3(inverse_function(esk1_0,esk2_0,X1),X1,esk2_0),esk3_0)
| ~ maps(esk1_0,esk2_0,X1)
| member(esk5_3(inverse_function(esk1_0,esk2_0,X1),X1,esk2_0),X1)
| maps(inverse_function(esk1_0,esk2_0,X1),X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_59]),c_0_66]) ).
cnf(c_0_96,negated_conjecture,
maps(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_97,negated_conjecture,
~ maps(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_98,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk8_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_90,c_0_37]) ).
cnf(c_0_99,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| member(esk8_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_91,c_0_40]) ).
cnf(c_0_100,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk7_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_92,c_0_43]) ).
cnf(c_0_101,plain,
( ~ one_to_one(X1,X2,X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_102,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| member(esk7_3(inverse_function(X1,X2,X3),X4,X2),X2)
| maps(inverse_function(X1,X2,X3),X4,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_43]) ).
cnf(c_0_103,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| member(esk6_3(inverse_function(X1,X2,X3),X4,X2),X4)
| maps(inverse_function(X1,X2,X3),X4,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_43]) ).
cnf(c_0_104,negated_conjecture,
member(esk5_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_64]),c_0_96])]),c_0_97]) ).
cnf(c_0_105,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk8_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_98,c_0_40]) ).
cnf(c_0_106,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| member(esk8_3(inverse_function(X1,X2,X3),X4,X5),X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_99,c_0_43]) ).
cnf(c_0_107,plain,
( ~ apply(X1,esk5_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk7_3(X1,X2,X3) != esk8_3(X1,X2,X3)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_108,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| maps(inverse_function(X1,X2,X3),X4,X2)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X2),esk7_3(inverse_function(X1,X2,X3),X4,X2)) ),
inference(spm,[status(thm)],[c_0_100,c_0_43]) ).
cnf(c_0_109,negated_conjecture,
surjective(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_101,c_0_68]) ).
cnf(c_0_110,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ surjective(X1,X2,X4)
| member(esk7_3(inverse_function(X1,X2,X3),X3,X2),X2)
| maps(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_66]) ).
cnf(c_0_111,negated_conjecture,
( ~ member(esk5_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),X1)
| ~ surjective(esk1_0,esk2_0,X1)
| member(esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_97]) ).
cnf(c_0_112,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| maps(inverse_function(X1,X2,X3),X4,X5)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X5),esk8_3(inverse_function(X1,X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_105,c_0_43]) ).
cnf(c_0_113,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| member(esk8_3(inverse_function(X1,X2,X3),X4,X2),X2)
| maps(inverse_function(X1,X2,X3),X4,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_43]) ).
cnf(c_0_114,plain,
( ~ member(X6,X2)
| ~ member(X6,X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ apply(X1,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5))
| esk8_3(inverse_function(X1,X2,X3),X4,X5) != esk7_3(inverse_function(X1,X2,X3),X4,X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_107,c_0_37]) ).
cnf(c_0_115,negated_conjecture,
apply(inverse_function(esk1_0,esk2_0,esk3_0),esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk7_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_104]),c_0_109]),c_0_104])]),c_0_97]) ).
cnf(c_0_116,negated_conjecture,
member(esk7_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_104]),c_0_109])]),c_0_97]) ).
cnf(c_0_117,negated_conjecture,
member(esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_104]),c_0_109])]) ).
cnf(c_0_118,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| maps(inverse_function(X1,X2,X3),X4,X2)
| apply(inverse_function(X1,X2,X3),esk6_3(inverse_function(X1,X2,X3),X4,X2),esk8_3(inverse_function(X1,X2,X3),X4,X2)) ),
inference(spm,[status(thm)],[c_0_112,c_0_43]) ).
cnf(c_0_119,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X3,X2),X4)
| ~ surjective(X1,X2,X4)
| member(esk8_3(inverse_function(X1,X2,X3),X3,X2),X2)
| maps(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_59]) ).
cnf(c_0_120,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X7)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ member(esk9_4(X1,X6,X7,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X5)
| ~ surjective(X1,X6,X7)
| esk8_3(inverse_function(X1,X2,X3),X4,X5) != esk7_3(inverse_function(X1,X2,X3),X4,X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_114,c_0_40]) ).
cnf(c_0_121,negated_conjecture,
apply(esk1_0,esk7_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_115]),c_0_116])]),c_0_117])]) ).
cnf(c_0_122,negated_conjecture,
apply(inverse_function(esk1_0,esk2_0,esk3_0),esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk8_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_104]),c_0_109]),c_0_104])]),c_0_97]) ).
cnf(c_0_123,negated_conjecture,
member(esk8_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_104]),c_0_109])]),c_0_97]) ).
cnf(c_0_124,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X6)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk9_4(X1,X5,X6,esk5_3(inverse_function(X1,X2,X3),X4,X5)),X2)
| ~ surjective(X1,X5,X6)
| esk8_3(inverse_function(X1,X2,X3),X4,X5) != esk7_3(inverse_function(X1,X2,X3),X4,X5)
| maps(inverse_function(X1,X2,X3),X4,X5) ),
inference(spm,[status(thm)],[c_0_120,c_0_43]) ).
cnf(c_0_125,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk1_0,X1,esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0))
| X1 = esk7_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_121]),c_0_117]),c_0_116])]) ).
cnf(c_0_126,negated_conjecture,
apply(esk1_0,esk8_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),esk6_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_122]),c_0_123])]),c_0_117])]) ).
cnf(c_0_127,plain,
( ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X5)
| ~ member(esk5_3(inverse_function(X1,X2,X3),X4,X2),X3)
| ~ surjective(X1,X2,X5)
| esk8_3(inverse_function(X1,X2,X3),X4,X2) != esk7_3(inverse_function(X1,X2,X3),X4,X2)
| maps(inverse_function(X1,X2,X3),X4,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_43]) ).
cnf(c_0_128,negated_conjecture,
esk8_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0) = esk7_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_123])]) ).
cnf(c_0_129,negated_conjecture,
( ~ member(esk5_3(inverse_function(esk1_0,esk2_0,esk3_0),esk3_0,esk2_0),X1)
| ~ surjective(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_104]),c_0_97]),c_0_128])]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_104]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET712+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n006.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:32:58 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.53 Running first-order theorem proving
% 0.16/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.45/2.64 % Version: 3.5.1
% 12.45/2.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.45/2.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.45/2.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.45/2.64 % Starting new_bool_3 with 300s (1) cores
% 12.45/2.64 % Starting new_bool_1 with 300s (1) cores
% 12.45/2.64 % Starting sh5l with 300s (1) cores
% 12.45/2.64 % new_bool_1 with pid 2099242 completed with status 0
% 12.45/2.64 % Result found by new_bool_1
% 12.45/2.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.45/2.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.45/2.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.45/2.64 % Starting new_bool_3 with 300s (1) cores
% 12.45/2.64 % Starting new_bool_1 with 300s (1) cores
% 12.45/2.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 12.45/2.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.45/2.64 % Search class: FGUSF-FFMF33-SFFFFFNN
% 12.45/2.64 % partial match(1): FGUSM-FFMF33-SFFFFFNN
% 12.45/2.64 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 12.45/2.64 % Starting SubtermCWHack with 28s (1) cores
% 12.45/2.64 % SubtermCWHack with pid 2099244 completed with status 0
% 12.45/2.64 % Result found by SubtermCWHack
% 12.45/2.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.45/2.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.45/2.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.45/2.64 % Starting new_bool_3 with 300s (1) cores
% 12.45/2.64 % Starting new_bool_1 with 300s (1) cores
% 12.45/2.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 12.45/2.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.45/2.64 % Search class: FGUSF-FFMF33-SFFFFFNN
% 12.45/2.64 % partial match(1): FGUSM-FFMF33-SFFFFFNN
% 12.45/2.64 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 12.45/2.64 % Starting SubtermCWHack with 28s (1) cores
% 12.45/2.64 % Preprocessing time : 0.002 s
% 12.45/2.64
% 12.45/2.64 % Proof found!
% 12.45/2.64 % SZS status Theorem
% 12.45/2.64 % SZS output start CNFRefutation
% See solution above
% 12.45/2.64 % Parsed axioms : 29
% 12.45/2.64 % Removed by relevancy pruning/SinE : 23
% 12.45/2.64 % Initial clauses : 34
% 12.45/2.64 % Removed in clause preprocessing : 0
% 12.45/2.64 % Initial clauses in saturation : 34
% 12.45/2.64 % Processed clauses : 4199
% 12.45/2.64 % ...of these trivial : 4
% 12.45/2.64 % ...subsumed : 2803
% 12.45/2.64 % ...remaining for further processing : 1392
% 12.45/2.64 % Other redundant clauses eliminated : 0
% 12.45/2.64 % Clauses deleted for lack of memory : 0
% 12.45/2.64 % Backward-subsumed : 252
% 12.45/2.64 % Backward-rewritten : 10
% 12.45/2.64 % Generated clauses : 27219
% 12.45/2.64 % ...of the previous two non-redundant : 26943
% 12.45/2.64 % ...aggressively subsumed : 0
% 12.45/2.64 % Contextual simplify-reflections : 85
% 12.45/2.64 % Paramodulations : 27219
% 12.45/2.64 % Factorizations : 0
% 12.45/2.64 % NegExts : 0
% 12.45/2.64 % Equation resolutions : 0
% 12.45/2.64 % Disequality decompositions : 0
% 12.45/2.64 % Total rewrite steps : 891
% 12.45/2.64 % ...of those cached : 881
% 12.45/2.64 % Propositional unsat checks : 0
% 12.45/2.64 % Propositional check models : 0
% 12.45/2.64 % Propositional check unsatisfiable : 0
% 12.45/2.64 % Propositional clauses : 0
% 12.45/2.64 % Propositional clauses after purity: 0
% 12.45/2.64 % Propositional unsat core size : 0
% 12.45/2.64 % Propositional preprocessing time : 0.000
% 12.45/2.64 % Propositional encoding time : 0.000
% 12.45/2.64 % Propositional solver time : 0.000
% 12.45/2.64 % Success case prop preproc time : 0.000
% 12.45/2.64 % Success case prop encoding time : 0.000
% 12.45/2.64 % Success case prop solver time : 0.000
% 12.45/2.64 % Current number of processed clauses : 1130
% 12.45/2.64 % Positive orientable unit clauses : 10
% 12.45/2.64 % Positive unorientable unit clauses: 0
% 12.45/2.64 % Negative unit clauses : 1
% 12.45/2.64 % Non-unit-clauses : 1119
% 12.45/2.64 % Current number of unprocessed clauses: 22351
% 12.45/2.64 % ...number of literals in the above : 308838
% 12.45/2.64 % Current number of archived formulas : 0
% 12.45/2.64 % Current number of archived clauses : 262
% 12.45/2.64 % Clause-clause subsumption calls (NU) : 901568
% 12.45/2.64 % Rec. Clause-clause subsumption calls : 18219
% 12.45/2.64 % Non-unit clause-clause subsumptions : 3094
% 12.45/2.64 % Unit Clause-clause subsumption calls : 281
% 12.45/2.64 % Rewrite failures with RHS unbound : 0
% 12.45/2.64 % BW rewrite match attempts : 6
% 12.45/2.64 % BW rewrite match successes : 5
% 12.45/2.64 % Condensation attempts : 0
% 12.45/2.64 % Condensation successes : 0
% 12.45/2.64 % Termbank termtop insertions : 1635064
% 12.45/2.64 % Search garbage collected termcells : 963
% 12.45/2.64
% 12.45/2.64 % -------------------------------------------------
% 12.45/2.64 % User time : 1.960 s
% 12.45/2.64 % System time : 0.036 s
% 12.45/2.64 % Total time : 1.996 s
% 12.45/2.64 % Maximum resident set size: 3948 pages
% 12.45/2.64
% 12.45/2.64 % -------------------------------------------------
% 12.45/2.64 % User time : 1.965 s
% 12.45/2.64 % System time : 0.041 s
% 12.45/2.64 % Total time : 2.006 s
% 12.45/2.64 % Maximum resident set size: 4864 pages
% 12.45/2.64 % E exiting
%------------------------------------------------------------------------------