%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM492+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n061.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 15:21:32 EST 2018
% Result : Theorem 0.38s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 179 ( 3 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 225 ( 99 ~; 102 |; 18 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__1860) ).
fof(3,axiom,
equal(xr,sdtmndt0(xn,xp)),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__1883) ).
fof(11,axiom,
equal(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__1951) ).
fof(14,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__2001) ).
fof(16,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',mDivMin) ).
fof(17,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__1870) ).
fof(19,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__1837) ).
fof(33,conjecture,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',m__) ).
fof(38,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( equal(X3,sdtmndt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',mDefDiff) ).
fof(39,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1',mSortsB_02) ).
fof(50,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(assume_negation,[status(cth)],[33]) ).
fof(51,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
cnf(57,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(59,plain,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(91,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(100,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[14]) ).
fof(105,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X2,X3))
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(106,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X4,sdtpldt0(X5,X6))
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[105]) ).
cnf(107,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(108,plain,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(112,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(113,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(114,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(170,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[51]) ).
fof(183,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(X1,X3),X2)
| equal(X3,sdtmndt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(184,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ sdtlseqdt0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[183]) ).
fof(185,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) )
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[184]) ).
fof(186,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,X6),X5)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[185]) ).
cnf(189,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[186]) ).
fof(190,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(191,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[190]) ).
cnf(192,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(480,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[189,theory(equality)]) ).
cnf(659,plain,
( doDivides0(X1,sdtasdt0(xr,xm))
| ~ doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[107,91,theory(equality)]) ).
cnf(4964,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[480,59,theory(equality)]) ).
cnf(4979,plain,
( aNaturalNumber0(xr)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[4964,108,theory(equality)]) ).
cnf(4980,plain,
( aNaturalNumber0(xr)
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[4979,112,theory(equality)]) ).
cnf(4981,plain,
( aNaturalNumber0(xr)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4980,114,theory(equality)]) ).
cnf(4982,plain,
aNaturalNumber0(xr),
inference(cn,[status(thm)],[4981,theory(equality)]) ).
cnf(16454,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[170,659,theory(equality)]) ).
cnf(16465,plain,
( $false
| ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[16454,57,theory(equality)]) ).
cnf(16466,plain,
( $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[16465,100,theory(equality)]) ).
cnf(16467,plain,
( $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| $false ),
inference(rw,[status(thm)],[16466,112,theory(equality)]) ).
cnf(16468,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(cn,[status(thm)],[16467,theory(equality)]) ).
cnf(16479,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[16468,192,theory(equality)]) ).
cnf(16484,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[16479,113,theory(equality)]) ).
cnf(16485,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| $false ),
inference(rw,[status(thm)],[16484,4982,theory(equality)]) ).
cnf(16486,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[16485,theory(equality)]) ).
cnf(16493,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[16486,192,theory(equality)]) ).
cnf(16495,plain,
( $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[16493,113,theory(equality)]) ).
cnf(16496,plain,
( $false
| $false ),
inference(rw,[status(thm)],[16495,112,theory(equality)]) ).
cnf(16497,plain,
$false,
inference(cn,[status(thm)],[16496,theory(equality)]) ).
cnf(16498,plain,
$false,
16497,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM492+1 : 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 : n061.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 06:46:45 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 []
% 0.38/0.61 -running prover on /export/starexec/sandbox/tmp/tmprJun9A/sel_theBenchmark.p_1 with time limit 29
% 0.38/0.61 -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/tmprJun9A/sel_theBenchmark.p_1']
% 0.38/0.61 -prover status Theorem
% 0.38/0.61 Problem theBenchmark.p solved in phase 0.
% 0.38/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.61 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.61 Solved 1 out of 1.
% 0.38/0.61 # Problem is unsatisfiable (or provable), constructing proof object
% 0.38/0.61 # SZS status Theorem
% 0.38/0.61 # SZS output start CNFRefutation.
% See solution above
% 0.43/0.61 # SZS output end CNFRefutation
%------------------------------------------------------------------------------