TSTP Solution File: NUN066+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUN066+2 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n183.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 14:27:05 EST 2019
% Result : Theorem 0.08s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 80 ( 9 unt; 0 def)
% Number of atoms : 242 ( 42 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 257 ( 95 ~; 118 |; 44 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 143 ( 9 sgn 59 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X5,X6] :
( ! [X7] :
( ! [X8] :
( ~ r2(X5,X8)
| ~ equal(X8,X7) )
| ~ r2(X6,X7) )
| equal(X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1',axiom_3a) ).
fof(3,axiom,
! [X9] :
? [X10] :
! [X11] :
( ( ~ r2(X9,X11)
& ~ equal(X11,X10) )
| ( r2(X9,X11)
& equal(X11,X10) ) ),
file('/export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1',axiom_2) ).
fof(4,axiom,
? [X12] :
! [X13] :
( ( ~ r1(X13)
& ~ equal(X13,X12) )
| ( r1(X13)
& equal(X13,X12) ) ),
file('/export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1',axiom_1) ).
fof(5,axiom,
! [X14,X15] :
( ! [X16] :
( ~ r1(X16)
| ~ equal(X16,X15) )
| ~ r2(X14,X15) ),
file('/export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1',axiom_7a) ).
fof(6,conjecture,
? [X3] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ r1(X19)
| ~ r2(X19,X18) )
| ~ r2(X18,X17) )
| ~ equal(X3,X17) )
& ! [X20] :
( ~ r1(X20)
| ~ equal(X3,X20) ) ),
file('/export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1',nonzerononetwoexist) ).
fof(7,negated_conjecture,
~ ? [X3] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ r1(X19)
| ~ r2(X19,X18) )
| ~ r2(X18,X17) )
| ~ equal(X3,X17) )
& ! [X20] :
( ~ r1(X20)
| ~ equal(X3,X20) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(8,plain,
! [X5,X6] :
( ! [X7] :
( ! [X8] :
( ~ r2(X5,X8)
| ~ equal(X8,X7) )
| ~ r2(X6,X7) )
| equal(X5,X6) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(9,plain,
! [X9] :
? [X10] :
! [X11] :
( ( ~ r2(X9,X11)
& ~ equal(X11,X10) )
| ( r2(X9,X11)
& equal(X11,X10) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(10,plain,
? [X12] :
! [X13] :
( ( ~ r1(X13)
& ~ equal(X13,X12) )
| ( r1(X13)
& equal(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(11,plain,
! [X14,X15] :
( ! [X16] :
( ~ r1(X16)
| ~ equal(X16,X15) )
| ~ r2(X14,X15) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(12,negated_conjecture,
~ ? [X3] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ r1(X19)
| ~ r2(X19,X18) )
| ~ r2(X18,X17) )
| ~ equal(X3,X17) )
& ! [X20] :
( ~ r1(X20)
| ~ equal(X3,X20) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(20,plain,
! [X9,X10] :
( ! [X11] :
( ! [X12] :
( ~ r2(X9,X12)
| ~ equal(X12,X11) )
| ~ r2(X10,X11) )
| equal(X9,X10) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(21,plain,
! [X9,X10,X11,X12] :
( ~ r2(X9,X12)
| ~ equal(X12,X11)
| ~ r2(X10,X11)
| equal(X9,X10) ),
inference(shift_quantors,[status(thm)],[20]) ).
cnf(22,plain,
( X1 = X2
| ~ r2(X2,X3)
| X4 != X3
| ~ r2(X1,X4) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(23,plain,
! [X12] :
? [X13] :
! [X14] :
( ( ~ r2(X12,X14)
& ~ equal(X14,X13) )
| ( r2(X12,X14)
& equal(X14,X13) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(24,plain,
! [X12,X14] :
( ( ~ r2(X12,X14)
& ~ equal(X14,esk4_1(X12)) )
| ( r2(X12,X14)
& equal(X14,esk4_1(X12)) ) ),
inference(skolemize,[status(esa)],[23]) ).
fof(25,plain,
! [X12,X14] :
( ( r2(X12,X14)
| ~ r2(X12,X14) )
& ( equal(X14,esk4_1(X12))
| ~ r2(X12,X14) )
& ( r2(X12,X14)
| ~ equal(X14,esk4_1(X12)) )
& ( equal(X14,esk4_1(X12))
| ~ equal(X14,esk4_1(X12)) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(27,plain,
( r2(X2,X1)
| X1 != esk4_1(X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,plain,
( X2 = esk4_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(30,plain,
? [X14] :
! [X15] :
( ( ~ r1(X15)
& ~ equal(X15,X14) )
| ( r1(X15)
& equal(X15,X14) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(31,plain,
! [X15] :
( ( ~ r1(X15)
& ~ equal(X15,esk5_0) )
| ( r1(X15)
& equal(X15,esk5_0) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,plain,
! [X15] :
( ( r1(X15)
| ~ r1(X15) )
& ( equal(X15,esk5_0)
| ~ r1(X15) )
& ( r1(X15)
| ~ equal(X15,esk5_0) )
& ( equal(X15,esk5_0)
| ~ equal(X15,esk5_0) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(34,plain,
( r1(X1)
| X1 != esk5_0 ),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(35,plain,
( X1 = esk5_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(37,plain,
! [X17,X18] :
( ! [X19] :
( ~ r1(X19)
| ~ equal(X19,X18) )
| ~ r2(X17,X18) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(38,plain,
! [X17,X18,X19] :
( ~ r1(X19)
| ~ equal(X19,X18)
| ~ r2(X17,X18) ),
inference(shift_quantors,[status(thm)],[37]) ).
cnf(39,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,negated_conjecture,
! [X3] :
( ? [X17] :
( ? [X18] :
( ? [X19] :
( r1(X19)
& r2(X19,X18) )
& r2(X18,X17) )
& equal(X3,X17) )
| ? [X20] :
( r1(X20)
& equal(X3,X20) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(41,negated_conjecture,
! [X21] :
( ? [X22] :
( ? [X23] :
( ? [X24] :
( r1(X24)
& r2(X24,X23) )
& r2(X23,X22) )
& equal(X21,X22) )
| ? [X25] :
( r1(X25)
& equal(X21,X25) ) ),
inference(variable_rename,[status(thm)],[40]) ).
fof(42,negated_conjecture,
! [X21] :
( ( r1(esk8_1(X21))
& r2(esk8_1(X21),esk7_1(X21))
& r2(esk7_1(X21),esk6_1(X21))
& equal(X21,esk6_1(X21)) )
| ( r1(esk9_1(X21))
& equal(X21,esk9_1(X21)) ) ),
inference(skolemize,[status(esa)],[41]) ).
fof(43,negated_conjecture,
! [X21] :
( ( r1(esk9_1(X21))
| r1(esk8_1(X21)) )
& ( equal(X21,esk9_1(X21))
| r1(esk8_1(X21)) )
& ( r1(esk9_1(X21))
| r2(esk8_1(X21),esk7_1(X21)) )
& ( equal(X21,esk9_1(X21))
| r2(esk8_1(X21),esk7_1(X21)) )
& ( r1(esk9_1(X21))
| r2(esk7_1(X21),esk6_1(X21)) )
& ( equal(X21,esk9_1(X21))
| r2(esk7_1(X21),esk6_1(X21)) )
& ( r1(esk9_1(X21))
| equal(X21,esk6_1(X21)) )
& ( equal(X21,esk9_1(X21))
| equal(X21,esk6_1(X21)) ) ),
inference(distribute,[status(thm)],[42]) ).
cnf(44,negated_conjecture,
( X1 = esk6_1(X1)
| X1 = esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(45,negated_conjecture,
( X1 = esk6_1(X1)
| r1(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(46,negated_conjecture,
( r2(esk7_1(X1),esk6_1(X1))
| X1 = esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(47,negated_conjecture,
( r2(esk7_1(X1),esk6_1(X1))
| r1(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(48,negated_conjecture,
( r2(esk8_1(X1),esk7_1(X1))
| X1 = esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(49,negated_conjecture,
( r2(esk8_1(X1),esk7_1(X1))
| r1(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(50,negated_conjecture,
( r1(esk8_1(X1))
| X1 = esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(51,negated_conjecture,
( r1(esk8_1(X1))
| r1(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(52,plain,
r1(esk5_0),
inference(er,[status(thm)],[34,theory(equality)]) ).
cnf(53,negated_conjecture,
( esk5_0 = esk8_1(X1)
| r1(esk9_1(X1)) ),
inference(spm,[status(thm)],[35,51,theory(equality)]) ).
cnf(54,negated_conjecture,
( esk5_0 = esk8_1(X1)
| esk9_1(X1) = X1 ),
inference(spm,[status(thm)],[35,50,theory(equality)]) ).
cnf(55,negated_conjecture,
( r2(esk7_1(X1),X1)
| r1(esk9_1(X1)) ),
inference(spm,[status(thm)],[47,45,theory(equality)]) ).
cnf(58,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[39,theory(equality)]) ).
cnf(60,plain,
r2(X1,esk4_1(X1)),
inference(er,[status(thm)],[27,theory(equality)]) ).
cnf(64,negated_conjecture,
( esk9_1(X1) = X1
| r2(esk7_1(X1),X1) ),
inference(spm,[status(thm)],[46,44,theory(equality)]) ).
cnf(67,plain,
( X1 = X2
| ~ r2(X2,X3)
| ~ r2(X1,X3) ),
inference(er,[status(thm)],[22,theory(equality)]) ).
cnf(71,negated_conjecture,
( r1(esk9_1(X1))
| ~ r1(esk7_1(X1)) ),
inference(spm,[status(thm)],[58,49,theory(equality)]) ).
cnf(73,negated_conjecture,
( esk9_1(X1) = X1
| ~ r1(esk7_1(X1)) ),
inference(spm,[status(thm)],[58,48,theory(equality)]) ).
cnf(81,negated_conjecture,
( r2(esk5_0,esk7_1(X1))
| r1(esk9_1(X1)) ),
inference(spm,[status(thm)],[49,53,theory(equality)]) ).
cnf(85,plain,
~ r1(esk4_1(X1)),
inference(spm,[status(thm)],[58,60,theory(equality)]) ).
cnf(89,negated_conjecture,
( esk9_1(X1) = X1
| r2(esk5_0,esk7_1(X1)) ),
inference(spm,[status(thm)],[48,54,theory(equality)]) ).
cnf(109,negated_conjecture,
( esk4_1(esk5_0) = esk7_1(X1)
| r1(esk9_1(X1)) ),
inference(spm,[status(thm)],[28,81,theory(equality)]) ).
cnf(138,negated_conjecture,
( esk4_1(esk5_0) = esk7_1(X1)
| esk9_1(X1) = X1 ),
inference(spm,[status(thm)],[28,89,theory(equality)]) ).
cnf(175,negated_conjecture,
( r2(esk5_0,X1)
| esk9_1(X2) = X2
| esk7_1(X2) != X1 ),
inference(spm,[status(thm)],[27,138,theory(equality)]) ).
cnf(196,plain,
( X1 = X2
| ~ r2(X1,esk4_1(X2)) ),
inference(spm,[status(thm)],[67,60,theory(equality)]) ).
cnf(204,negated_conjecture,
( X1 = esk5_0
| r1(esk9_1(X2))
| ~ r2(X1,esk7_1(X2)) ),
inference(spm,[status(thm)],[67,81,theory(equality)]) ).
cnf(208,negated_conjecture,
( esk7_1(esk4_1(X1)) = X1
| r1(esk9_1(esk4_1(X1))) ),
inference(spm,[status(thm)],[196,55,theory(equality)]) ).
cnf(235,negated_conjecture,
( esk7_1(esk7_1(X1)) = esk5_0
| r1(esk9_1(X1))
| esk9_1(esk7_1(X1)) = esk7_1(X1) ),
inference(spm,[status(thm)],[204,64,theory(equality)]) ).
cnf(256,negated_conjecture,
( r1(esk9_1(esk4_1(X1)))
| ~ r1(X1) ),
inference(spm,[status(thm)],[71,208,theory(equality)]) ).
cnf(286,negated_conjecture,
( r1(esk9_1(esk7_1(X1)))
| r1(esk9_1(X1))
| ~ r1(esk5_0) ),
inference(spm,[status(thm)],[256,109,theory(equality)]) ).
cnf(292,negated_conjecture,
( r1(esk9_1(esk7_1(X1)))
| r1(esk9_1(X1))
| $false ),
inference(rw,[status(thm)],[286,52,theory(equality)]) ).
cnf(293,negated_conjecture,
( r1(esk9_1(esk7_1(X1)))
| r1(esk9_1(X1)) ),
inference(cn,[status(thm)],[292,theory(equality)]) ).
cnf(1778,negated_conjecture,
( esk9_1(esk7_1(X1)) = esk7_1(X1)
| r1(esk9_1(X1))
| ~ r1(esk5_0) ),
inference(spm,[status(thm)],[73,235,theory(equality)]) ).
cnf(1819,negated_conjecture,
( esk9_1(esk7_1(X1)) = esk7_1(X1)
| r1(esk9_1(X1))
| $false ),
inference(rw,[status(thm)],[1778,52,theory(equality)]) ).
cnf(1820,negated_conjecture,
( esk9_1(esk7_1(X1)) = esk7_1(X1)
| r1(esk9_1(X1)) ),
inference(cn,[status(thm)],[1819,theory(equality)]) ).
cnf(1844,negated_conjecture,
( r1(esk7_1(X1))
| r1(esk9_1(X1)) ),
inference(spm,[status(thm)],[293,1820,theory(equality)]) ).
cnf(1866,negated_conjecture,
r1(esk9_1(X1)),
inference(csr,[status(thm)],[1844,71]) ).
cnf(1869,negated_conjecture,
esk5_0 = esk9_1(X1),
inference(spm,[status(thm)],[35,1866,theory(equality)]) ).
cnf(1978,negated_conjecture,
( esk5_0 = X1
| r2(esk5_0,X2)
| esk7_1(X1) != X2 ),
inference(rw,[status(thm)],[175,1869,theory(equality)]) ).
cnf(2014,negated_conjecture,
( esk5_0 = X1
| r2(esk7_1(X1),X1) ),
inference(rw,[status(thm)],[64,1869,theory(equality)]) ).
cnf(2039,negated_conjecture,
( esk7_1(esk4_1(X1)) = X1
| esk5_0 = esk4_1(X1) ),
inference(spm,[status(thm)],[196,2014,theory(equality)]) ).
cnf(2098,negated_conjecture,
( esk5_0 = esk4_1(X1)
| r2(esk5_0,X2)
| X1 != X2 ),
inference(spm,[status(thm)],[1978,2039,theory(equality)]) ).
cnf(2109,negated_conjecture,
( esk4_1(X1) = esk5_0
| r2(esk5_0,X1) ),
inference(er,[status(thm)],[2098,theory(equality)]) ).
cnf(2113,negated_conjecture,
( r2(esk5_0,X1)
| ~ r1(esk5_0) ),
inference(spm,[status(thm)],[85,2109,theory(equality)]) ).
cnf(2124,negated_conjecture,
( r2(esk5_0,X1)
| $false ),
inference(rw,[status(thm)],[2113,52,theory(equality)]) ).
cnf(2125,negated_conjecture,
r2(esk5_0,X1),
inference(cn,[status(thm)],[2124,theory(equality)]) ).
cnf(2127,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[58,2125,theory(equality)]) ).
cnf(2144,plain,
$false,
inference(sr,[status(thm)],[52,2127,theory(equality)]) ).
cnf(2145,plain,
$false,
2144,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN066+2 : 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 : n183.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 19:32:12 CST 2019
% 0.03/0.25 % CPUTime :
% 0.08/0.30 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.30 --creating new selector for [NUM008+0.ax]
% 0.08/0.41 -running prover on /export/starexec/sandbox/tmp/tmp3Iwy0b/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.41 -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/tmp3Iwy0b/sel_theBenchmark.p_1']
% 0.08/0.41 -prover status Theorem
% 0.08/0.41 Problem theBenchmark.p solved in phase 0.
% 0.08/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41 Solved 1 out of 1.
% 0.08/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.08/0.41 # SZS status Theorem
% 0.08/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.08/0.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------