TSTP Solution File: NUN054+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUN054+1 : TPTP v7.3.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n189.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 14:27:03 EST 2019
% Result : Theorem 5.22s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 158 ( 39 unt; 0 def)
% Number of atoms : 495 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 596 ( 259 ~; 238 |; 99 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 328 ( 12 sgn 138 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ~ id(X1,X2)
| id(X1,X3)
| ~ id(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_7) ).
fof(2,axiom,
! [X4] :
? [X5] :
! [X6] :
( ( id(X6,X5)
& r2(X4,X6) )
| ( ~ r2(X4,X6)
& ~ id(X6,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',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/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_10) ).
fof(5,axiom,
! [X17] :
( ? [X18] :
( id(X17,X18)
& r1(X18) )
| ? [X19,X20] :
( id(X17,X20)
& r2(X19,X20) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',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/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_3) ).
fof(7,axiom,
? [X25] :
! [X26] :
( ( id(X26,X25)
& r1(X26) )
| ( ~ r1(X26)
& ~ id(X26,X25) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_1) ).
fof(8,axiom,
! [X27,X28] :
( ~ id(X27,X28)
| id(X28,X27) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',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/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_1a) ).
fof(10,axiom,
! [X35] : id(X35,X35),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_5) ).
fof(11,axiom,
! [X36,X37] :
( ~ id(X36,X37)
| ( ~ r1(X36)
& ~ r1(X37) )
| ( r1(X36)
& r1(X37) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',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/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_9) ).
fof(13,axiom,
! [X42] :
? [X43] :
( id(X43,X42)
& ? [X44] :
( r1(X44)
& r3(X42,X44,X43) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_4a) ).
fof(14,axiom,
! [X45,X46] :
( ! [X47] :
( ~ id(X47,X46)
| ~ r1(X47) )
| ~ r2(X45,X46) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',axiom_7a) ).
fof(15,conjecture,
? [X19] :
( ? [X48] :
( ? [X31] :
( r1(X31)
& r3(X31,X48,X19) )
& ? [X32] :
( r1(X32)
& r2(X32,X48) ) )
& ? [X49] :
( id(X19,X49)
& ? [X50] :
( r1(X50)
& r2(X50,X49) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1',zeroplusoneidone) ).
fof(16,negated_conjecture,
~ ? [X19] :
( ? [X48] :
( ? [X31] :
( r1(X31)
& r3(X31,X48,X19) )
& ? [X32] :
( r1(X32)
& r2(X32,X48) ) )
& ? [X49] :
( id(X19,X49)
& ? [X50] :
( r1(X50)
& r2(X50,X49) ) ) ),
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,plain,
! [X4,X5,X6] :
( ~ id(X4,X5)
| id(X4,X6)
| ~ id(X5,X6) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(28,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(29,plain,
! [X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r2(X7,X9) )
| ( ~ r2(X7,X9)
& ~ id(X9,X8) ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(30,plain,
! [X7,X9] :
( ( id(X9,esk1_1(X7))
& r2(X7,X9) )
| ( ~ r2(X7,X9)
& ~ id(X9,esk1_1(X7)) ) ),
inference(skolemize,[status(esa)],[29]) ).
fof(31,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)],[30]) ).
cnf(32,plain,
( r2(X1,X2)
| ~ id(X2,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(35,plain,
( id(X1,esk1_1(X2))
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(36,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(37,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)],[36]) ).
cnf(40,plain,
( r3(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(45,plain,
! [X21] :
( ? [X22] :
( id(X21,X22)
& r1(X22) )
| ? [X23,X24] :
( id(X21,X24)
& r2(X23,X24) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(46,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)],[45]) ).
fof(47,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)],[46]) ).
cnf(48,plain,
( r1(esk2_1(X1))
| r2(esk3_1(X1),esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(51,plain,
( id(X1,esk2_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(52,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(53,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)],[52]) ).
fof(54,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)],[53]) ).
cnf(58,plain,
( id(X1,esk5_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(59,plain,
? [X27] :
! [X28] :
( ( id(X28,X27)
& r1(X28) )
| ( ~ r1(X28)
& ~ id(X28,X27) ) ),
inference(variable_rename,[status(thm)],[22]) ).
fof(60,plain,
! [X28] :
( ( id(X28,esk6_0)
& r1(X28) )
| ( ~ r1(X28)
& ~ id(X28,esk6_0) ) ),
inference(skolemize,[status(esa)],[59]) ).
fof(61,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)],[60]) ).
cnf(65,plain,
( id(X1,esk6_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(66,plain,
! [X29,X30] :
( ~ id(X29,X30)
| id(X30,X29) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(67,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(68,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(69,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)],[68]) ).
cnf(70,plain,
r3(X1,X2,esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(71,plain,
r2(esk10_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(72,plain,
r3(X1,esk9_2(X1,X2),esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(73,plain,
r2(X1,esk9_2(X2,X1)),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(74,plain,
id(esk8_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[69]) ).
fof(75,plain,
! [X36] : id(X36,X36),
inference(variable_rename,[status(thm)],[10]) ).
cnf(76,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[75]) ).
fof(77,plain,
! [X38,X39] :
( ~ id(X38,X39)
| ( ~ r1(X38)
& ~ r1(X39) )
| ( r1(X38)
& r1(X39) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(78,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)],[77]) ).
cnf(80,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(83,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(84,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)],[83]) ).
cnf(87,plain,
( r2(X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X3,X1) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(89,plain,
! [X45] :
? [X46] :
( id(X46,X45)
& ? [X47] :
( r1(X47)
& r3(X45,X47,X46) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(90,plain,
! [X45] :
( id(esk11_1(X45),X45)
& r1(esk12_1(X45))
& r3(X45,esk12_1(X45),esk11_1(X45)) ),
inference(skolemize,[status(esa)],[89]) ).
cnf(91,plain,
r3(X1,esk12_1(X1),esk11_1(X1)),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(92,plain,
r1(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(93,plain,
id(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[90]) ).
fof(94,plain,
! [X48,X49] :
( ! [X50] :
( ~ id(X50,X49)
| ~ r1(X50) )
| ~ r2(X48,X49) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(95,plain,
! [X48,X49,X50] :
( ~ id(X50,X49)
| ~ r1(X50)
| ~ r2(X48,X49) ),
inference(shift_quantors,[status(thm)],[94]) ).
cnf(96,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(97,negated_conjecture,
! [X19] :
( ! [X48] :
( ! [X31] :
( ~ r1(X31)
| ~ r3(X31,X48,X19) )
| ! [X32] :
( ~ r1(X32)
| ~ r2(X32,X48) ) )
| ! [X49] :
( ~ id(X19,X49)
| ! [X50] :
( ~ r1(X50)
| ~ r2(X50,X49) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(98,negated_conjecture,
! [X51] :
( ! [X52] :
( ! [X53] :
( ~ r1(X53)
| ~ r3(X53,X52,X51) )
| ! [X54] :
( ~ r1(X54)
| ~ r2(X54,X52) ) )
| ! [X55] :
( ~ id(X51,X55)
| ! [X56] :
( ~ r1(X56)
| ~ r2(X56,X55) ) ) ),
inference(variable_rename,[status(thm)],[97]) ).
fof(99,negated_conjecture,
! [X51,X52,X53,X54,X55,X56] :
( ~ r1(X56)
| ~ r2(X56,X55)
| ~ id(X51,X55)
| ~ r1(X54)
| ~ r2(X54,X52)
| ~ r1(X53)
| ~ r3(X53,X52,X51) ),
inference(shift_quantors,[status(thm)],[98]) ).
cnf(100,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ r1(X1)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ id(X3,X5)
| ~ r2(X6,X5)
| ~ r1(X6) ),
inference(split_conjunct,[status(thm)],[99]) ).
cnf(101,plain,
id(esk12_1(X1),esk6_0),
inference(spm,[status(thm)],[65,92,theory(equality)]) ).
cnf(104,plain,
id(X1,esk11_1(X1)),
inference(spm,[status(thm)],[67,93,theory(equality)]) ).
cnf(112,plain,
( r1(esk11_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[80,93,theory(equality)]) ).
cnf(115,plain,
( id(esk1_1(X1),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[67,35,theory(equality)]) ).
cnf(118,plain,
r2(X1,esk1_1(X1)),
inference(spm,[status(thm)],[32,76,theory(equality)]) ).
cnf(122,plain,
( id(esk11_1(X1),X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[28,93,theory(equality)]) ).
cnf(128,plain,
( id(esk8_2(X1,X2),X3)
| ~ id(esk7_2(X1,X2),X3) ),
inference(spm,[status(thm)],[28,74,theory(equality)]) ).
cnf(132,plain,
( r1(esk4_1(X1))
| id(X1,esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[81,51,theory(equality)]) ).
cnf(138,plain,
( r1(esk5_2(X1,X2))
| ~ r1(X3)
| ~ r3(X1,X2,X3) ),
inference(spm,[status(thm)],[81,58,theory(equality)]) ).
cnf(139,plain,
( r1(X1)
| ~ r1(esk5_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(spm,[status(thm)],[80,58,theory(equality)]) ).
cnf(145,plain,
( r2(X1,X2)
| ~ r2(X1,X3)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[87,76,theory(equality)]) ).
cnf(146,plain,
( r2(X1,X2)
| ~ r2(esk11_1(X1),X3)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[87,93,theory(equality)]) ).
cnf(162,plain,
( r3(X1,X2,X3)
| ~ id(X4,X1)
| ~ id(esk12_1(X4),X2)
| ~ id(esk11_1(X4),X3) ),
inference(spm,[status(thm)],[40,91,theory(equality)]) ).
cnf(169,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r1(X3)
| ~ r2(X1,X5)
| ~ r2(X2,esk9_2(X3,X4))
| ~ id(esk8_2(X3,X4),X5) ),
inference(spm,[status(thm)],[100,72,theory(equality)]) ).
cnf(173,plain,
( r1(esk6_0)
| ~ r1(esk12_1(X1)) ),
inference(spm,[status(thm)],[81,101,theory(equality)]) ).
cnf(175,plain,
( id(esk12_1(X1),X2)
| ~ id(esk6_0,X2) ),
inference(spm,[status(thm)],[28,101,theory(equality)]) ).
cnf(176,plain,
( r2(esk6_0,X1)
| ~ r2(esk12_1(X2),X3)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[87,101,theory(equality)]) ).
cnf(178,plain,
( r1(esk6_0)
| $false ),
inference(rw,[status(thm)],[173,92,theory(equality)]) ).
cnf(179,plain,
r1(esk6_0),
inference(cn,[status(thm)],[178,theory(equality)]) ).
cnf(186,plain,
( id(X1,X2)
| ~ id(esk11_1(X1),X2) ),
inference(spm,[status(thm)],[28,104,theory(equality)]) ).
cnf(190,plain,
( ~ r1(X1)
| ~ id(X1,esk1_1(X2)) ),
inference(spm,[status(thm)],[96,118,theory(equality)]) ).
cnf(196,plain,
( ~ r1(X1)
| ~ r2(X2,X1) ),
inference(spm,[status(thm)],[190,35,theory(equality)]) ).
cnf(201,plain,
( r1(esk2_1(X1))
| ~ r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[196,48,theory(equality)]) ).
cnf(216,plain,
( id(esk11_1(X1),esk6_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[65,112,theory(equality)]) ).
cnf(264,plain,
( r2(esk6_0,X1)
| ~ r2(esk11_1(X2),X3)
| ~ id(X3,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[87,216,theory(equality)]) ).
cnf(321,plain,
( r2(X1,esk1_1(X2))
| ~ r2(X2,esk1_1(X1)) ),
inference(spm,[status(thm)],[32,115,theory(equality)]) ).
cnf(343,plain,
( r1(esk11_1(X1))
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[80,122,theory(equality)]) ).
cnf(358,plain,
( r1(X1)
| ~ r1(esk12_1(X2))
| ~ id(esk6_0,X1) ),
inference(spm,[status(thm)],[81,175,theory(equality)]) ).
cnf(368,plain,
( r1(X1)
| $false
| ~ id(esk6_0,X1) ),
inference(rw,[status(thm)],[358,92,theory(equality)]) ).
cnf(369,plain,
( r1(X1)
| ~ id(esk6_0,X1) ),
inference(cn,[status(thm)],[368,theory(equality)]) ).
cnf(394,plain,
id(X1,esk11_1(esk11_1(X1))),
inference(spm,[status(thm)],[186,104,theory(equality)]) ).
cnf(396,plain,
( id(X1,esk1_1(X2))
| ~ r2(X2,esk11_1(X1)) ),
inference(spm,[status(thm)],[186,35,theory(equality)]) ).
cnf(429,plain,
id(esk11_1(esk11_1(X1)),X1),
inference(spm,[status(thm)],[67,394,theory(equality)]) ).
cnf(672,plain,
( r1(esk4_1(esk6_0))
| id(esk6_0,esk2_1(esk6_0)) ),
inference(spm,[status(thm)],[132,179,theory(equality)]) ).
cnf(698,plain,
( r1(esk2_1(esk6_0))
| id(esk6_0,esk2_1(esk6_0)) ),
inference(spm,[status(thm)],[201,672,theory(equality)]) ).
cnf(700,plain,
r1(esk2_1(esk6_0)),
inference(csr,[status(thm)],[698,369]) ).
cnf(701,plain,
id(esk2_1(esk6_0),esk6_0),
inference(spm,[status(thm)],[65,700,theory(equality)]) ).
cnf(703,plain,
id(esk6_0,esk2_1(esk6_0)),
inference(spm,[status(thm)],[67,701,theory(equality)]) ).
cnf(726,plain,
( id(esk6_0,X1)
| ~ id(esk2_1(esk6_0),X1) ),
inference(spm,[status(thm)],[28,703,theory(equality)]) ).
cnf(821,plain,
id(esk6_0,esk11_1(esk2_1(esk6_0))),
inference(spm,[status(thm)],[726,104,theory(equality)]) ).
cnf(851,plain,
id(esk11_1(esk2_1(esk6_0)),esk6_0),
inference(spm,[status(thm)],[67,821,theory(equality)]) ).
cnf(1126,plain,
( r2(X1,X2)
| ~ r2(X1,esk1_1(X3))
| ~ r2(X3,X2) ),
inference(spm,[status(thm)],[145,115,theory(equality)]) ).
cnf(1167,plain,
( r2(X1,X2)
| ~ id(esk1_1(esk11_1(X1)),X2) ),
inference(spm,[status(thm)],[146,118,theory(equality)]) ).
cnf(2103,plain,
( r3(X1,esk6_0,X2)
| ~ id(esk11_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[162,101,theory(equality)]) ).
cnf(2415,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r1(X3)
| ~ r2(X1,X4)
| ~ id(esk8_2(X3,X2),X4) ),
inference(spm,[status(thm)],[169,73,theory(equality)]) ).
cnf(36653,plain,
r2(X1,esk1_1(esk11_1(X1))),
inference(spm,[status(thm)],[1167,76,theory(equality)]) ).
cnf(36654,plain,
r2(X1,esk11_1(esk1_1(esk11_1(X1)))),
inference(spm,[status(thm)],[1167,104,theory(equality)]) ).
cnf(36759,plain,
r2(esk11_1(X1),esk1_1(X1)),
inference(spm,[status(thm)],[321,36653,theory(equality)]) ).
cnf(36824,plain,
( r2(esk6_0,X1)
| ~ r1(X2)
| ~ id(esk1_1(X2),X1) ),
inference(spm,[status(thm)],[264,36759,theory(equality)]) ).
cnf(36989,plain,
id(esk1_1(esk11_1(X1)),esk1_1(X1)),
inference(spm,[status(thm)],[396,36654,theory(equality)]) ).
cnf(38413,plain,
( r2(esk6_0,esk1_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[36824,76,theory(equality)]) ).
cnf(38419,plain,
( r2(esk6_0,esk1_1(X1))
| ~ r1(esk11_1(X1)) ),
inference(spm,[status(thm)],[36824,36989,theory(equality)]) ).
cnf(38504,plain,
( r2(X1,esk1_1(esk6_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[321,38413,theory(equality)]) ).
cnf(38622,plain,
( r2(X1,X2)
| ~ r2(esk6_0,X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[1126,38504,theory(equality)]) ).
cnf(74465,plain,
( r3(X1,esk6_0,X2)
| ~ id(esk11_1(X2),X1) ),
inference(spm,[status(thm)],[2103,429,theory(equality)]) ).
cnf(74782,plain,
r3(esk6_0,esk6_0,esk2_1(esk6_0)),
inference(spm,[status(thm)],[74465,851,theory(equality)]) ).
cnf(74980,plain,
( r1(esk5_2(esk6_0,esk6_0))
| ~ r1(esk2_1(esk6_0)) ),
inference(spm,[status(thm)],[138,74782,theory(equality)]) ).
cnf(74996,plain,
( r1(esk5_2(esk6_0,esk6_0))
| $false ),
inference(rw,[status(thm)],[74980,700,theory(equality)]) ).
cnf(74997,plain,
r1(esk5_2(esk6_0,esk6_0)),
inference(cn,[status(thm)],[74996,theory(equality)]) ).
cnf(75001,plain,
( r1(X1)
| ~ r3(esk6_0,esk6_0,X1) ),
inference(spm,[status(thm)],[139,74997,theory(equality)]) ).
cnf(75857,plain,
r1(esk10_2(esk6_0,esk6_0)),
inference(spm,[status(thm)],[75001,70,theory(equality)]) ).
cnf(75925,plain,
id(esk10_2(esk6_0,esk6_0),esk6_0),
inference(spm,[status(thm)],[65,75857,theory(equality)]) ).
cnf(76000,plain,
( r1(esk11_1(esk10_2(esk6_0,esk6_0)))
| ~ r1(esk6_0) ),
inference(spm,[status(thm)],[343,75925,theory(equality)]) ).
cnf(76063,plain,
( r1(esk11_1(esk10_2(esk6_0,esk6_0)))
| $false ),
inference(rw,[status(thm)],[76000,179,theory(equality)]) ).
cnf(76064,plain,
r1(esk11_1(esk10_2(esk6_0,esk6_0))),
inference(cn,[status(thm)],[76063,theory(equality)]) ).
cnf(76397,plain,
r2(esk6_0,esk1_1(esk10_2(esk6_0,esk6_0))),
inference(spm,[status(thm)],[38419,76064,theory(equality)]) ).
cnf(83795,plain,
( r2(esk6_0,X1)
| ~ r2(esk10_2(esk6_0,esk6_0),X1) ),
inference(spm,[status(thm)],[1126,76397,theory(equality)]) ).
cnf(293901,plain,
r2(esk6_0,esk7_2(esk6_0,esk6_0)),
inference(spm,[status(thm)],[83795,71,theory(equality)]) ).
cnf(294265,plain,
( r2(X1,esk7_2(esk6_0,esk6_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[38622,293901,theory(equality)]) ).
cnf(294680,plain,
( r2(esk6_0,X1)
| ~ id(esk7_2(esk6_0,esk6_0),X1)
| ~ r1(esk12_1(X2)) ),
inference(spm,[status(thm)],[176,294265,theory(equality)]) ).
cnf(294907,plain,
( r2(esk6_0,X1)
| ~ id(esk7_2(esk6_0,esk6_0),X1)
| $false ),
inference(rw,[status(thm)],[294680,92,theory(equality)]) ).
cnf(294908,plain,
( r2(esk6_0,X1)
| ~ id(esk7_2(esk6_0,esk6_0),X1) ),
inference(cn,[status(thm)],[294907,theory(equality)]) ).
cnf(323214,plain,
r2(esk6_0,esk11_1(esk7_2(esk6_0,esk6_0))),
inference(spm,[status(thm)],[294908,104,theory(equality)]) ).
cnf(323411,plain,
id(esk7_2(esk6_0,esk6_0),esk1_1(esk6_0)),
inference(spm,[status(thm)],[396,323214,theory(equality)]) ).
cnf(323849,plain,
id(esk8_2(esk6_0,esk6_0),esk1_1(esk6_0)),
inference(spm,[status(thm)],[128,323411,theory(equality)]) ).
cnf(324187,negated_conjecture,
( ~ r1(X1)
| ~ r1(esk6_0)
| ~ r2(X1,esk1_1(esk6_0)) ),
inference(spm,[status(thm)],[2415,323849,theory(equality)]) ).
cnf(324248,negated_conjecture,
( ~ r1(X1)
| $false
| ~ r2(X1,esk1_1(esk6_0)) ),
inference(rw,[status(thm)],[324187,179,theory(equality)]) ).
cnf(324249,negated_conjecture,
( ~ r1(X1)
| ~ r2(X1,esk1_1(esk6_0)) ),
inference(cn,[status(thm)],[324248,theory(equality)]) ).
cnf(328502,negated_conjecture,
~ r1(X1),
inference(csr,[status(thm)],[324249,38504]) ).
cnf(328613,plain,
$false,
inference(sr,[status(thm)],[92,328502,theory(equality)]) ).
cnf(328614,plain,
$false,
328613,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN054+1 : TPTP v7.3.0. Bugfixed v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.25 % Computer : n189.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 : Sat Feb 23 16:16:58 CST 2019
% 0.03/0.25 % CPUTime :
% 0.03/0.30 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 --creating new selector for [NUM009+0.ax]
% 5.22/5.47 -running prover on /export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1 with time limit 29
% 5.22/5.47 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp_7xPAy/sel_theBenchmark.p_1']
% 5.22/5.47 -prover status Theorem
% 5.22/5.47 Problem theBenchmark.p solved in phase 0.
% 5.22/5.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/5.47 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/5.47 Solved 1 out of 1.
% 5.22/5.47 # Problem is unsatisfiable (or provable), constructing proof object
% 5.22/5.47 # SZS status Theorem
% 5.22/5.47 # SZS output start CNFRefutation.
% See solution above
% 5.22/5.48 # SZS output end CNFRefutation
%------------------------------------------------------------------------------