TSTP Solution File: NUM479+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM479+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n100.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:29 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 171 ( 31 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 201 ( 79 ~; 86 |; 26 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( ~ equal(X1,sz00)
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
=> equal(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',mMulCanc) ).
fof(12,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',m__1524) ).
fof(14,axiom,
( ~ equal(xl,sz00)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xm,sdtasdt0(xl,X1)) )
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',m__1524_04) ).
fof(26,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl))) )
=> ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) )
=> equal(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) ) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',m__) ).
fof(27,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',mMulAsso) ).
fof(32,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',m__1553) ).
fof(37,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1',mMulComm) ).
fof(40,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl))) )
=> ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) )
=> equal(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) ) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(55,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| ! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
| equal(X2,X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(56,plain,
! [X4] :
( ~ aNaturalNumber0(X4)
| equal(X4,sz00)
| ! [X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6) ) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ),
inference(shift_quantors,[status(thm)],[56]) ).
fof(58,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[57]) ).
cnf(60,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(89,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[12]) ).
fof(93,plain,
( ~ equal(xl,sz00)
& ? [X2] :
( aNaturalNumber0(X2)
& equal(xm,sdtasdt0(xl,X2)) )
& doDivides0(xl,xm) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(94,plain,
( ~ equal(xl,sz00)
& aNaturalNumber0(esk2_0)
& equal(xm,sdtasdt0(xl,esk2_0))
& doDivides0(xl,xm) ),
inference(skolemize,[status(esa)],[93]) ).
cnf(96,plain,
xm = sdtasdt0(xl,esk2_0),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(97,plain,
aNaturalNumber0(esk2_0),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(98,plain,
xl != sz00,
inference(split_conjunct,[status(thm)],[94]) ).
fof(151,negated_conjecture,
( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)))
& ~ equal(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) ),
inference(fof_nnf,[status(thm)],[40]) ).
cnf(152,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(153,negated_conjecture,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(155,negated_conjecture,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(156,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(split_conjunct,[status(thm)],[151]) ).
fof(157,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(158,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(sdtasdt0(sdtasdt0(X4,X5),X6),sdtasdt0(X4,sdtasdt0(X5,X6))) ),
inference(variable_rename,[status(thm)],[157]) ).
cnf(159,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(178,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[32]) ).
fof(191,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(192,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[191]) ).
cnf(193,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[192]) ).
cnf(425,plain,
( sdtasdt0(sdtasdt0(X2,X1),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[159,193,theory(equality)]) ).
cnf(505,plain,
( sz00 = xl
| esk2_0 = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[60,96,theory(equality)]) ).
cnf(523,plain,
( sz00 = xl
| esk2_0 = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[505,97,theory(equality)]) ).
cnf(524,plain,
( sz00 = xl
| esk2_0 = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[523,89,theory(equality)]) ).
cnf(525,plain,
( sz00 = xl
| esk2_0 = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[524,theory(equality)]) ).
cnf(526,plain,
( esk2_0 = X1
| sdtasdt0(xl,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[525,98,theory(equality)]) ).
cnf(579,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xn,xm),
inference(rw,[status(thm)],[152,153,theory(equality)]) ).
cnf(1306,negated_conjecture,
( esk2_0 = sdtsldt0(xm,xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(spm,[status(thm)],[526,155,theory(equality)]) ).
cnf(1315,negated_conjecture,
( esk2_0 = sdtsldt0(xm,xl)
| $false ),
inference(rw,[status(thm)],[1306,156,theory(equality)]) ).
cnf(1316,negated_conjecture,
esk2_0 = sdtsldt0(xm,xl),
inference(cn,[status(thm)],[1315,theory(equality)]) ).
cnf(1341,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),esk2_0) != sdtasdt0(xn,xm),
inference(rw,[status(thm)],[579,1316,theory(equality)]) ).
cnf(7471,negated_conjecture,
( sdtasdt0(xn,sdtasdt0(xl,esk2_0)) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[1341,425,theory(equality)]) ).
cnf(7602,negated_conjecture,
( $false
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7471,96,theory(equality)]) ).
cnf(7603,negated_conjecture,
( $false
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7602,97,theory(equality)]) ).
cnf(7604,negated_conjecture,
( $false
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7603,89,theory(equality)]) ).
cnf(7605,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[7604,178,theory(equality)]) ).
cnf(7606,negated_conjecture,
$false,
inference(cn,[status(thm)],[7605,theory(equality)]) ).
cnf(7607,negated_conjecture,
$false,
7606,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM479+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n100.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 05:14:00 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.45 -running prover on /export/starexec/sandbox/tmp/tmpUNuh9a/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.45 -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/tmpUNuh9a/sel_theBenchmark.p_1']
% 0.06/0.45 -prover status Theorem
% 0.06/0.45 Problem theBenchmark.p solved in phase 0.
% 0.06/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.45 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.45 Solved 1 out of 1.
% 0.06/0.45 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.45 # SZS status Theorem
% 0.06/0.45 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.45 # SZS output end CNFRefutation
%------------------------------------------------------------------------------