TSTP Solution File: NUN085+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUN085+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n192.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:27:09 EST 2019
% Result : Theorem 109.03s
% Output : CNFRefutation 109.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 172 ( 64 unt; 0 def)
% Number of atoms : 487 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 546 ( 231 ~; 213 |; 102 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 307 ( 15 sgn 135 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ~ id(X1,X2)
| id(X1,X3)
| ~ id(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_7) ).
fof(2,axiom,
! [X4] :
? [X5] :
! [X6] :
( ( id(X6,X5)
& r2(X4,X6) )
| ( ~ r2(X4,X6)
& ~ id(X6,X5) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_2) ).
fof(3,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ~ id(X7,X10)
| ~ id(X8,X11)
| ~ id(X9,X12)
| ( ~ r3(X7,X8,X9)
& ~ r3(X10,X11,X12) )
| ( r3(X7,X8,X9)
& r3(X10,X11,X12) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_10) ).
fof(5,axiom,
! [X17] :
( ? [X18] :
( id(X17,X18)
& r1(X18) )
| ? [X19,X20] :
( id(X17,X20)
& r2(X19,X20) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_6a) ).
fof(6,axiom,
! [X21,X22] :
? [X23] :
! [X24] :
( ( id(X24,X23)
& r3(X21,X22,X24) )
| ( ~ r3(X21,X22,X24)
& ~ id(X24,X23) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_3) ).
fof(7,axiom,
? [X25] :
! [X26] :
( ( id(X26,X25)
& r1(X26) )
| ( ~ r1(X26)
& ~ id(X26,X25) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_1) ).
fof(8,axiom,
! [X27,X28] :
( ~ id(X27,X28)
| id(X28,X27) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_6) ).
fof(9,axiom,
! [X29,X30] :
? [X31] :
( ? [X32] :
( id(X32,X31)
& ? [X33] :
( r2(X30,X33)
& r3(X29,X33,X32) ) )
& ? [X34] :
( r2(X34,X31)
& r3(X29,X30,X34) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_1a) ).
fof(10,axiom,
! [X35] : id(X35,X35),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_5) ).
fof(11,axiom,
! [X36,X37] :
( ~ id(X36,X37)
| ( ~ r1(X36)
& ~ r1(X37) )
| ( r1(X36)
& r1(X37) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_8) ).
fof(12,axiom,
! [X38,X39,X40,X41] :
( ~ id(X38,X40)
| ~ id(X39,X41)
| ( ~ r2(X38,X39)
& ~ r2(X40,X41) )
| ( r2(X38,X39)
& r2(X40,X41) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_9) ).
fof(13,axiom,
! [X42] :
? [X43] :
( id(X43,X42)
& ? [X44] :
( r1(X44)
& r3(X42,X44,X43) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_4a) ).
fof(14,axiom,
! [X45,X46] :
( ! [X47] :
( ~ id(X47,X46)
| ~ r1(X47) )
| ~ r2(X45,X46) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',axiom_7a) ).
fof(15,conjecture,
! [X19] :
( ! [X48] :
( ! [X49] :
( ~ r1(X49)
| ~ r3(X49,X48,X19) )
| ! [X31] :
( ~ r1(X31)
| ~ r2(X31,X48) ) )
| ! [X32] :
( ~ id(X19,X32)
| ~ r1(X32) ) ),
file('/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2',zeroplusoneidzero) ).
fof(16,negated_conjecture,
~ ! [X19] :
( ! [X48] :
( ! [X49] :
( ~ r1(X49)
| ~ r3(X49,X48,X19) )
| ! [X31] :
( ~ r1(X31)
| ~ r2(X31,X48) ) )
| ! [X32] :
( ~ id(X19,X32)
| ~ r1(X32) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(17,plain,
! [X1,X2,X3] :
( ~ id(X1,X2)
| id(X1,X3)
| ~ id(X2,X3) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(18,plain,
! [X4] :
? [X5] :
! [X6] :
( ( id(X6,X5)
& r2(X4,X6) )
| ( ~ r2(X4,X6)
& ~ id(X6,X5) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(19,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ id(X7,X10)
| ~ id(X8,X11)
| ~ id(X9,X12)
| ( ~ r3(X7,X8,X9)
& ~ r3(X10,X11,X12) )
| ( r3(X7,X8,X9)
& r3(X10,X11,X12) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(21,plain,
! [X21,X22] :
? [X23] :
! [X24] :
( ( id(X24,X23)
& r3(X21,X22,X24) )
| ( ~ r3(X21,X22,X24)
& ~ id(X24,X23) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(22,plain,
? [X25] :
! [X26] :
( ( id(X26,X25)
& r1(X26) )
| ( ~ r1(X26)
& ~ id(X26,X25) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(23,plain,
! [X27,X28] :
( ~ id(X27,X28)
| id(X28,X27) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(24,plain,
! [X36,X37] :
( ~ id(X36,X37)
| ( ~ r1(X36)
& ~ r1(X37) )
| ( r1(X36)
& r1(X37) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(25,plain,
! [X38,X39,X40,X41] :
( ~ id(X38,X40)
| ~ id(X39,X41)
| ( ~ r2(X38,X39)
& ~ r2(X40,X41) )
| ( r2(X38,X39)
& r2(X40,X41) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(26,plain,
! [X45,X46] :
( ! [X47] :
( ~ id(X47,X46)
| ~ r1(X47) )
| ~ r2(X45,X46) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(27,negated_conjecture,
~ ! [X19] :
( ! [X48] :
( ! [X49] :
( ~ r1(X49)
| ~ r3(X49,X48,X19) )
| ! [X31] :
( ~ r1(X31)
| ~ r2(X31,X48) ) )
| ! [X32] :
( ~ id(X19,X32)
| ~ r1(X32) ) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(28,plain,
! [X4,X5,X6] :
( ~ id(X4,X5)
| id(X4,X6)
| ~ id(X5,X6) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(29,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r2(X7,X9) )
| ( ~ r2(X7,X9)
& ~ id(X9,X8) ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(31,plain,
! [X7,X9] :
( ( id(X9,esk1_1(X7))
& r2(X7,X9) )
| ( ~ r2(X7,X9)
& ~ id(X9,esk1_1(X7)) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,plain,
! [X7,X9] :
( ( ~ r2(X7,X9)
| id(X9,esk1_1(X7)) )
& ( ~ id(X9,esk1_1(X7))
| id(X9,esk1_1(X7)) )
& ( ~ r2(X7,X9)
| r2(X7,X9) )
& ( ~ id(X9,esk1_1(X7))
| r2(X7,X9) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(36,plain,
( id(X1,esk1_1(X2))
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(37,plain,
! [X13,X14,X15,X16,X17,X18] :
( ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18)
| ( ~ r3(X13,X14,X15)
& ~ r3(X16,X17,X18) )
| ( r3(X13,X14,X15)
& r3(X16,X17,X18) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(38,plain,
! [X13,X14,X15,X16,X17,X18] :
( ( r3(X13,X14,X15)
| ~ r3(X13,X14,X15)
| ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18) )
& ( r3(X16,X17,X18)
| ~ r3(X13,X14,X15)
| ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18) )
& ( r3(X13,X14,X15)
| ~ r3(X16,X17,X18)
| ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18) )
& ( r3(X16,X17,X18)
| ~ r3(X16,X17,X18)
| ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(40,plain,
( r3(X5,X3,X1)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X6,X4,X2) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,plain,
( r3(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(46,plain,
! [X21] :
( ? [X22] :
( id(X21,X22)
& r1(X22) )
| ? [X23,X24] :
( id(X21,X24)
& r2(X23,X24) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(47,plain,
! [X21] :
( ( id(X21,esk2_1(X21))
& r1(esk2_1(X21)) )
| ( id(X21,esk4_1(X21))
& r2(esk3_1(X21),esk4_1(X21)) ) ),
inference(skolemize,[status(esa)],[46]) ).
fof(48,plain,
! [X21] :
( ( id(X21,esk4_1(X21))
| id(X21,esk2_1(X21)) )
& ( r2(esk3_1(X21),esk4_1(X21))
| id(X21,esk2_1(X21)) )
& ( id(X21,esk4_1(X21))
| r1(esk2_1(X21)) )
& ( r2(esk3_1(X21),esk4_1(X21))
| r1(esk2_1(X21)) ) ),
inference(distribute,[status(thm)],[47]) ).
cnf(49,plain,
( r1(esk2_1(X1))
| r2(esk3_1(X1),esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,plain,
( r1(esk2_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(51,plain,
( id(X1,esk2_1(X1))
| r2(esk3_1(X1),esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
( id(X1,esk2_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(53,plain,
! [X25,X26] :
? [X27] :
! [X28] :
( ( id(X28,X27)
& r3(X25,X26,X28) )
| ( ~ r3(X25,X26,X28)
& ~ id(X28,X27) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(54,plain,
! [X25,X26,X28] :
( ( id(X28,esk5_2(X25,X26))
& r3(X25,X26,X28) )
| ( ~ r3(X25,X26,X28)
& ~ id(X28,esk5_2(X25,X26)) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X25,X26,X28] :
( ( ~ r3(X25,X26,X28)
| id(X28,esk5_2(X25,X26)) )
& ( ~ id(X28,esk5_2(X25,X26))
| id(X28,esk5_2(X25,X26)) )
& ( ~ r3(X25,X26,X28)
| r3(X25,X26,X28) )
& ( ~ id(X28,esk5_2(X25,X26))
| r3(X25,X26,X28) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(59,plain,
( id(X1,esk5_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(60,plain,
? [X27] :
! [X28] :
( ( id(X28,X27)
& r1(X28) )
| ( ~ r1(X28)
& ~ id(X28,X27) ) ),
inference(variable_rename,[status(thm)],[22]) ).
fof(61,plain,
! [X28] :
( ( id(X28,esk6_0)
& r1(X28) )
| ( ~ r1(X28)
& ~ id(X28,esk6_0) ) ),
inference(skolemize,[status(esa)],[60]) ).
fof(62,plain,
! [X28] :
( ( ~ r1(X28)
| id(X28,esk6_0) )
& ( ~ id(X28,esk6_0)
| id(X28,esk6_0) )
& ( ~ r1(X28)
| r1(X28) )
& ( ~ id(X28,esk6_0)
| r1(X28) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(66,plain,
( id(X1,esk6_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(67,plain,
! [X29,X30] :
( ~ id(X29,X30)
| id(X30,X29) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(68,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(69,plain,
! [X35,X36] :
? [X37] :
( ? [X38] :
( id(X38,X37)
& ? [X39] :
( r2(X36,X39)
& r3(X35,X39,X38) ) )
& ? [X40] :
( r2(X40,X37)
& r3(X35,X36,X40) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(70,plain,
! [X35,X36] :
( id(esk8_2(X35,X36),esk7_2(X35,X36))
& r2(X36,esk9_2(X35,X36))
& r3(X35,esk9_2(X35,X36),esk8_2(X35,X36))
& r2(esk10_2(X35,X36),esk7_2(X35,X36))
& r3(X35,X36,esk10_2(X35,X36)) ),
inference(skolemize,[status(esa)],[69]) ).
cnf(71,plain,
r3(X1,X2,esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(72,plain,
r2(esk10_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(73,plain,
r3(X1,esk9_2(X1,X2),esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(74,plain,
r2(X1,esk9_2(X2,X1)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(75,plain,
id(esk8_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[70]) ).
fof(76,plain,
! [X36] : id(X36,X36),
inference(variable_rename,[status(thm)],[10]) ).
cnf(77,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[76]) ).
fof(78,plain,
! [X38,X39] :
( ~ id(X38,X39)
| ( ~ r1(X38)
& ~ r1(X39) )
| ( r1(X38)
& r1(X39) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(79,plain,
! [X38,X39] :
( ( r1(X38)
| ~ r1(X38)
| ~ id(X38,X39) )
& ( r1(X39)
| ~ r1(X38)
| ~ id(X38,X39) )
& ( r1(X38)
| ~ r1(X39)
| ~ id(X38,X39) )
& ( r1(X39)
| ~ r1(X39)
| ~ id(X38,X39) ) ),
inference(distribute,[status(thm)],[78]) ).
cnf(81,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(82,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[79]) ).
fof(84,plain,
! [X42,X43,X44,X45] :
( ~ id(X42,X44)
| ~ id(X43,X45)
| ( ~ r2(X42,X43)
& ~ r2(X44,X45) )
| ( r2(X42,X43)
& r2(X44,X45) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(85,plain,
! [X42,X43,X44,X45] :
( ( r2(X42,X43)
| ~ r2(X42,X43)
| ~ id(X42,X44)
| ~ id(X43,X45) )
& ( r2(X44,X45)
| ~ r2(X42,X43)
| ~ id(X42,X44)
| ~ id(X43,X45) )
& ( r2(X42,X43)
| ~ r2(X44,X45)
| ~ id(X42,X44)
| ~ id(X43,X45) )
& ( r2(X44,X45)
| ~ r2(X44,X45)
| ~ id(X42,X44)
| ~ id(X43,X45) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(87,plain,
( r2(X3,X1)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X4,X2) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(88,plain,
( r2(X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X3,X1) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(90,plain,
! [X45] :
? [X46] :
( id(X46,X45)
& ? [X47] :
( r1(X47)
& r3(X45,X47,X46) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(91,plain,
! [X45] :
( id(esk11_1(X45),X45)
& r1(esk12_1(X45))
& r3(X45,esk12_1(X45),esk11_1(X45)) ),
inference(skolemize,[status(esa)],[90]) ).
cnf(92,plain,
r3(X1,esk12_1(X1),esk11_1(X1)),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(93,plain,
r1(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(94,plain,
id(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[91]) ).
fof(95,plain,
! [X48,X49] :
( ! [X50] :
( ~ id(X50,X49)
| ~ r1(X50) )
| ~ r2(X48,X49) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(96,plain,
! [X48,X49,X50] :
( ~ id(X50,X49)
| ~ r1(X50)
| ~ r2(X48,X49) ),
inference(shift_quantors,[status(thm)],[95]) ).
cnf(97,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(98,negated_conjecture,
? [X19] :
( ? [X48] :
( ? [X49] :
( r1(X49)
& r3(X49,X48,X19) )
& ? [X31] :
( r1(X31)
& r2(X31,X48) ) )
& ? [X32] :
( id(X19,X32)
& r1(X32) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(99,negated_conjecture,
? [X50] :
( ? [X51] :
( ? [X52] :
( r1(X52)
& r3(X52,X51,X50) )
& ? [X53] :
( r1(X53)
& r2(X53,X51) ) )
& ? [X54] :
( id(X50,X54)
& r1(X54) ) ),
inference(variable_rename,[status(thm)],[98]) ).
fof(100,negated_conjecture,
( r1(esk15_0)
& r3(esk15_0,esk14_0,esk13_0)
& r1(esk16_0)
& r2(esk16_0,esk14_0)
& id(esk13_0,esk17_0)
& r1(esk17_0) ),
inference(skolemize,[status(esa)],[99]) ).
cnf(101,negated_conjecture,
r1(esk17_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(102,negated_conjecture,
id(esk13_0,esk17_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(103,negated_conjecture,
r2(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(104,negated_conjecture,
r1(esk16_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(105,negated_conjecture,
r3(esk15_0,esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(106,negated_conjecture,
r1(esk15_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(107,negated_conjecture,
id(esk15_0,esk6_0),
inference(spm,[status(thm)],[66,106,theory(equality)]) ).
cnf(108,negated_conjecture,
id(esk16_0,esk6_0),
inference(spm,[status(thm)],[66,104,theory(equality)]) ).
cnf(110,plain,
id(esk12_1(X1),esk6_0),
inference(spm,[status(thm)],[66,93,theory(equality)]) ).
cnf(115,plain,
id(X1,esk11_1(X1)),
inference(spm,[status(thm)],[68,94,theory(equality)]) ).
cnf(121,negated_conjecture,
( r1(esk13_0)
| ~ r1(esk17_0) ),
inference(spm,[status(thm)],[81,102,theory(equality)]) ).
cnf(124,negated_conjecture,
( r1(esk13_0)
| $false ),
inference(rw,[status(thm)],[121,101,theory(equality)]) ).
cnf(125,negated_conjecture,
r1(esk13_0),
inference(cn,[status(thm)],[124,theory(equality)]) ).
cnf(130,negated_conjecture,
( ~ r1(X1)
| ~ id(X1,esk14_0) ),
inference(spm,[status(thm)],[97,103,theory(equality)]) ).
cnf(132,negated_conjecture,
id(esk14_0,esk1_1(esk16_0)),
inference(spm,[status(thm)],[36,103,theory(equality)]) ).
cnf(133,plain,
id(esk9_2(X1,X2),esk1_1(X2)),
inference(spm,[status(thm)],[36,74,theory(equality)]) ).
cnf(136,negated_conjecture,
( id(esk13_0,X1)
| ~ id(esk17_0,X1) ),
inference(spm,[status(thm)],[29,102,theory(equality)]) ).
cnf(143,plain,
( id(esk8_2(X1,X2),X3)
| ~ id(esk7_2(X1,X2),X3) ),
inference(spm,[status(thm)],[29,75,theory(equality)]) ).
cnf(145,plain,
id(esk7_2(X1,X2),esk1_1(esk10_2(X1,X2))),
inference(spm,[status(thm)],[36,72,theory(equality)]) ).
cnf(150,plain,
( r1(esk2_1(X2))
| ~ r1(X1)
| ~ id(X1,esk4_1(X2)) ),
inference(spm,[status(thm)],[97,49,theory(equality)]) ).
cnf(152,plain,
( id(X2,esk2_1(X2))
| ~ r1(X1)
| ~ id(X1,esk4_1(X2)) ),
inference(spm,[status(thm)],[97,51,theory(equality)]) ).
cnf(157,plain,
id(esk10_2(X1,X2),esk5_2(X1,X2)),
inference(spm,[status(thm)],[59,71,theory(equality)]) ).
cnf(177,negated_conjecture,
( r3(X1,X2,X3)
| ~ id(esk15_0,X1)
| ~ id(esk14_0,X2)
| ~ id(esk13_0,X3) ),
inference(spm,[status(thm)],[41,105,theory(equality)]) ).
cnf(179,plain,
( r3(X1,X2,X3)
| ~ id(X4,X1)
| ~ id(esk12_1(X4),X2)
| ~ id(esk11_1(X4),X3) ),
inference(spm,[status(thm)],[41,92,theory(equality)]) ).
cnf(184,plain,
( r3(X1,X2,X3)
| ~ id(X1,X4)
| ~ id(X2,esk9_2(X4,X5))
| ~ id(X3,esk8_2(X4,X5)) ),
inference(spm,[status(thm)],[40,73,theory(equality)]) ).
cnf(189,negated_conjecture,
( id(esk15_0,X1)
| ~ id(esk6_0,X1) ),
inference(spm,[status(thm)],[29,107,theory(equality)]) ).
cnf(196,negated_conjecture,
~ r1(esk14_0),
inference(spm,[status(thm)],[130,77,theory(equality)]) ).
cnf(200,negated_conjecture,
id(esk13_0,esk6_0),
inference(spm,[status(thm)],[66,125,theory(equality)]) ).
cnf(218,negated_conjecture,
id(esk6_0,esk16_0),
inference(spm,[status(thm)],[68,108,theory(equality)]) ).
cnf(222,negated_conjecture,
( r2(esk6_0,X1)
| ~ r2(esk16_0,X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[88,108,theory(equality)]) ).
cnf(262,negated_conjecture,
id(esk6_0,esk13_0),
inference(spm,[status(thm)],[68,200,theory(equality)]) ).
cnf(278,plain,
id(esk6_0,esk12_1(X1)),
inference(spm,[status(thm)],[68,110,theory(equality)]) ).
cnf(293,plain,
( r1(esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[150,50,theory(equality)]) ).
cnf(295,plain,
( id(esk2_1(X1),esk6_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[66,293,theory(equality)]) ).
cnf(350,plain,
( r2(esk2_1(X1),X2)
| ~ r2(esk6_0,X3)
| ~ id(X2,X3)
| ~ r1(X1) ),
inference(spm,[status(thm)],[87,295,theory(equality)]) ).
cnf(358,negated_conjecture,
( id(esk14_0,X1)
| ~ id(esk1_1(esk16_0),X1) ),
inference(spm,[status(thm)],[29,132,theory(equality)]) ).
cnf(405,negated_conjecture,
id(esk13_0,esk11_1(esk17_0)),
inference(spm,[status(thm)],[136,115,theory(equality)]) ).
cnf(434,negated_conjecture,
id(esk11_1(esk17_0),esk13_0),
inference(spm,[status(thm)],[68,405,theory(equality)]) ).
cnf(663,plain,
id(esk1_1(X1),esk9_2(X2,X1)),
inference(spm,[status(thm)],[68,133,theory(equality)]) ).
cnf(667,plain,
( id(esk9_2(X1,X2),X3)
| ~ id(esk1_1(X2),X3) ),
inference(spm,[status(thm)],[29,133,theory(equality)]) ).
cnf(1025,negated_conjecture,
id(esk15_0,esk16_0),
inference(spm,[status(thm)],[189,218,theory(equality)]) ).
cnf(1027,negated_conjecture,
id(esk15_0,esk13_0),
inference(spm,[status(thm)],[189,262,theory(equality)]) ).
cnf(1029,negated_conjecture,
id(esk15_0,esk12_1(X1)),
inference(spm,[status(thm)],[189,278,theory(equality)]) ).
cnf(1041,negated_conjecture,
id(esk16_0,esk15_0),
inference(spm,[status(thm)],[68,1025,theory(equality)]) ).
cnf(1087,plain,
( id(esk7_2(X1,X2),X3)
| ~ id(esk1_1(esk10_2(X1,X2)),X3) ),
inference(spm,[status(thm)],[29,145,theory(equality)]) ).
cnf(1099,negated_conjecture,
( id(esk16_0,X1)
| ~ id(esk15_0,X1) ),
inference(spm,[status(thm)],[29,1041,theory(equality)]) ).
cnf(1458,plain,
( id(X1,esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[152,52,theory(equality)]) ).
cnf(1467,plain,
( r2(X1,X2)
| ~ r2(esk2_1(X1),X3)
| ~ id(X2,X3)
| ~ r1(X1) ),
inference(spm,[status(thm)],[87,1458,theory(equality)]) ).
cnf(1928,plain,
( r1(esk10_2(X1,X2))
| ~ r1(esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[81,157,theory(equality)]) ).
cnf(2060,negated_conjecture,
id(esk16_0,esk12_1(X1)),
inference(spm,[status(thm)],[1099,1029,theory(equality)]) ).
cnf(2331,negated_conjecture,
id(esk12_1(X1),esk16_0),
inference(spm,[status(thm)],[68,2060,theory(equality)]) ).
cnf(4865,negated_conjecture,
( r3(esk13_0,X1,X2)
| ~ id(esk14_0,X1)
| ~ id(esk13_0,X2) ),
inference(spm,[status(thm)],[177,1027,theory(equality)]) ).
cnf(5310,negated_conjecture,
( r3(X1,esk16_0,X2)
| ~ id(esk11_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[179,2331,theory(equality)]) ).
cnf(6105,negated_conjecture,
( r2(esk6_0,X1)
| ~ id(esk14_0,X1) ),
inference(spm,[status(thm)],[222,103,theory(equality)]) ).
cnf(6180,negated_conjecture,
r2(esk6_0,esk14_0),
inference(spm,[status(thm)],[6105,77,theory(equality)]) ).
cnf(6186,negated_conjecture,
id(esk14_0,esk1_1(esk6_0)),
inference(spm,[status(thm)],[36,6180,theory(equality)]) ).
cnf(6246,negated_conjecture,
id(esk1_1(esk6_0),esk14_0),
inference(spm,[status(thm)],[68,6186,theory(equality)]) ).
cnf(8726,plain,
( r2(esk2_1(X1),X2)
| ~ r1(X1)
| ~ id(X2,esk9_2(X3,esk6_0)) ),
inference(spm,[status(thm)],[350,74,theory(equality)]) ).
cnf(16251,negated_conjecture,
id(esk14_0,esk9_2(X1,esk16_0)),
inference(spm,[status(thm)],[358,663,theory(equality)]) ).
cnf(16296,negated_conjecture,
( r3(X1,esk14_0,X2)
| ~ id(X2,esk8_2(X3,esk16_0))
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[184,16251,theory(equality)]) ).
cnf(18435,negated_conjecture,
id(esk9_2(X1,esk6_0),esk14_0),
inference(spm,[status(thm)],[667,6246,theory(equality)]) ).
cnf(19383,negated_conjecture,
id(esk14_0,esk9_2(X1,esk6_0)),
inference(spm,[status(thm)],[68,18435,theory(equality)]) ).
cnf(158622,negated_conjecture,
( r3(esk13_0,esk14_0,X1)
| ~ id(esk13_0,X1) ),
inference(spm,[status(thm)],[4865,77,theory(equality)]) ).
cnf(158685,negated_conjecture,
r3(esk13_0,esk14_0,esk17_0),
inference(spm,[status(thm)],[158622,102,theory(equality)]) ).
cnf(158850,negated_conjecture,
id(esk17_0,esk5_2(esk13_0,esk14_0)),
inference(spm,[status(thm)],[59,158685,theory(equality)]) ).
cnf(158905,negated_conjecture,
( r1(esk5_2(esk13_0,esk14_0))
| ~ r1(esk17_0) ),
inference(spm,[status(thm)],[82,158850,theory(equality)]) ).
cnf(158942,negated_conjecture,
( r1(esk5_2(esk13_0,esk14_0))
| $false ),
inference(rw,[status(thm)],[158905,101,theory(equality)]) ).
cnf(158943,negated_conjecture,
r1(esk5_2(esk13_0,esk14_0)),
inference(cn,[status(thm)],[158942,theory(equality)]) ).
cnf(242286,negated_conjecture,
( r3(X1,esk16_0,esk13_0)
| ~ id(esk17_0,X1) ),
inference(spm,[status(thm)],[5310,434,theory(equality)]) ).
cnf(293652,negated_conjecture,
r3(esk17_0,esk16_0,esk13_0),
inference(spm,[status(thm)],[242286,77,theory(equality)]) ).
cnf(293894,negated_conjecture,
id(esk13_0,esk5_2(esk17_0,esk16_0)),
inference(spm,[status(thm)],[59,293652,theory(equality)]) ).
cnf(294019,negated_conjecture,
( r1(esk5_2(esk17_0,esk16_0))
| ~ r1(esk13_0) ),
inference(spm,[status(thm)],[82,293894,theory(equality)]) ).
cnf(294078,negated_conjecture,
( r1(esk5_2(esk17_0,esk16_0))
| $false ),
inference(rw,[status(thm)],[294019,125,theory(equality)]) ).
cnf(294079,negated_conjecture,
r1(esk5_2(esk17_0,esk16_0)),
inference(cn,[status(thm)],[294078,theory(equality)]) ).
cnf(294094,negated_conjecture,
r1(esk10_2(esk17_0,esk16_0)),
inference(spm,[status(thm)],[1928,294079,theory(equality)]) ).
cnf(530158,negated_conjecture,
( r2(esk2_1(X1),esk14_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[8726,19383,theory(equality)]) ).
cnf(709454,negated_conjecture,
( r2(X1,X2)
| ~ r1(X1)
| ~ id(X2,esk14_0) ),
inference(spm,[status(thm)],[1467,530158,theory(equality)]) ).
cnf(716312,negated_conjecture,
( r2(X1,esk14_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[709454,77,theory(equality)]) ).
cnf(716643,negated_conjecture,
r2(esk10_2(esk17_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[716312,294094,theory(equality)]) ).
cnf(719337,negated_conjecture,
id(esk14_0,esk1_1(esk10_2(esk17_0,esk16_0))),
inference(spm,[status(thm)],[36,716643,theory(equality)]) ).
cnf(774891,negated_conjecture,
id(esk1_1(esk10_2(esk17_0,esk16_0)),esk14_0),
inference(spm,[status(thm)],[68,719337,theory(equality)]) ).
cnf(837151,negated_conjecture,
id(esk7_2(esk17_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[1087,774891,theory(equality)]) ).
cnf(837240,negated_conjecture,
id(esk8_2(esk17_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[143,837151,theory(equality)]) ).
cnf(837449,negated_conjecture,
id(esk14_0,esk8_2(esk17_0,esk16_0)),
inference(spm,[status(thm)],[68,837240,theory(equality)]) ).
cnf(1290542,negated_conjecture,
( r3(X1,esk14_0,esk14_0)
| ~ id(X1,esk17_0) ),
inference(spm,[status(thm)],[16296,837449,theory(equality)]) ).
cnf(1290606,negated_conjecture,
r3(esk13_0,esk14_0,esk14_0),
inference(spm,[status(thm)],[1290542,102,theory(equality)]) ).
cnf(1291079,negated_conjecture,
id(esk14_0,esk5_2(esk13_0,esk14_0)),
inference(spm,[status(thm)],[59,1290606,theory(equality)]) ).
cnf(1291542,negated_conjecture,
( r1(esk14_0)
| ~ r1(esk5_2(esk13_0,esk14_0)) ),
inference(spm,[status(thm)],[81,1291079,theory(equality)]) ).
cnf(1291664,negated_conjecture,
( r1(esk14_0)
| $false ),
inference(rw,[status(thm)],[1291542,158943,theory(equality)]) ).
cnf(1291665,negated_conjecture,
r1(esk14_0),
inference(cn,[status(thm)],[1291664,theory(equality)]) ).
cnf(1291666,negated_conjecture,
$false,
inference(sr,[status(thm)],[1291665,196,theory(equality)]) ).
cnf(1291667,negated_conjecture,
$false,
1291666,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN085+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.25 % Computer : n192.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25 % CPULimit : 300
% 0.03/0.25 % DateTime : Sun Feb 24 01:42:27 CST 2019
% 0.03/0.25 % CPUTime :
% 0.03/0.30 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 --creating new selector for [NUM009+0.ax]
% 29.12/29.37 eprover: CPU time limit exceeded, terminating
% 109.03/109.44 -running prover on /export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_1 with time limit 29
% 109.03/109.44 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_1']
% 109.03/109.44 -prover status ResourceOut
% 109.03/109.44 -running prover on /export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2 with time limit 81
% 109.03/109.44 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpYoNQ9S/sel_theBenchmark.p_2']
% 109.03/109.44 -prover status Theorem
% 109.03/109.44 Problem theBenchmark.p solved in phase 1.
% 109.03/109.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.03/109.44 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.03/109.44 Solved 1 out of 1.
% 109.03/109.44 # Problem is unsatisfiable (or provable), constructing proof object
% 109.03/109.44 # SZS status Theorem
% 109.03/109.44 # SZS output start CNFRefutation.
% See solution above
% 109.03/109.45 # SZS output end CNFRefutation
%------------------------------------------------------------------------------