%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG061+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 01:56:22 EST 2010
% Result : Theorem 0.58s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 175 ( 52 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 177 ( 68 ~; 78 |; 27 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 1 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(16,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',mArith) ).
fof(21,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',mNegSc) ).
fof(23,axiom,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__2144) ).
fof(25,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__1837) ).
fof(31,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__2180) ).
fof(36,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__1892) ).
fof(38,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__1930) ).
fof(44,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',mMulSc) ).
fof(45,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__) ).
fof(46,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',mMNeg) ).
fof(49,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__1800) ).
fof(55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/tmp/tmpLcsVsB/sel_RNG061+1.p_1',m__1949) ).
fof(61,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(assume_negation,[status(cth)],[45]) ).
fof(62,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(fof_simplification,[status(thm)],[61,theory(equality)]) ).
fof(109,plain,
! [X1,X2,X3] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(110,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
& sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
& sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
& sdtasdt0(X4,X5) = sdtasdt0(X5,X4) ) ),
inference(variable_rename,[status(thm)],[109]) ).
fof(111,plain,
! [X4,X5,X6] :
( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(114,plain,
( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[111]) ).
fof(127,plain,
! [X1] :
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(128,plain,
! [X2] :
( ~ aScalar0(X2)
| aScalar0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(129,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(133,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(135,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(139,plain,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(156,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(180,plain,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(184,plain,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(185,plain,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[38]) ).
fof(202,plain,
! [X1,X2] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| aScalar0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(203,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[202]) ).
cnf(204,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(205,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(split_conjunct,[status(thm)],[62]) ).
fof(206,plain,
! [X1,X2] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(207,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
& sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[206]) ).
fof(208,plain,
! [X3,X4] :
( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[207]) ).
cnf(210,plain,
( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[208]) ).
cnf(215,plain,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(228,plain,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(295,plain,
( smndt0(xS) = sdtasdt0(xF,smndt0(xD))
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(spm,[status(thm)],[210,184,theory(equality)]) ).
cnf(307,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[129,210,theory(equality)]) ).
cnf(317,plain,
( smndt0(xS) = sdtasdt0(xF,smndt0(xD))
| $false
| ~ aScalar0(xD) ),
inference(rw,[status(thm)],[295,139,theory(equality)]) ).
cnf(318,plain,
( smndt0(xS) = sdtasdt0(xF,smndt0(xD))
| $false
| $false ),
inference(rw,[status(thm)],[317,215,theory(equality)]) ).
cnf(319,plain,
smndt0(xS) = sdtasdt0(xF,smndt0(xD)),
inference(cn,[status(thm)],[318,theory(equality)]) ).
cnf(413,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR) ),
inference(spm,[status(thm)],[204,135,theory(equality)]) ).
cnf(436,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS))
| $false ),
inference(rw,[status(thm)],[413,180,theory(equality)]) ).
cnf(437,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[436,theory(equality)]) ).
cnf(472,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[114,228,theory(equality)]) ).
cnf(1404,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(xF) ),
inference(spm,[status(thm)],[204,319,theory(equality)]) ).
cnf(1421,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD))
| $false ),
inference(rw,[status(thm)],[1404,139,theory(equality)]) ).
cnf(1422,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD)) ),
inference(cn,[status(thm)],[1421,theory(equality)]) ).
cnf(3057,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(xD) ),
inference(spm,[status(thm)],[1422,129,theory(equality)]) ).
cnf(3058,plain,
( aScalar0(smndt0(xS))
| $false ),
inference(rw,[status(thm)],[3057,215,theory(equality)]) ).
cnf(3059,plain,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[3058,theory(equality)]) ).
cnf(3439,plain,
( aScalar0(smndt0(xN))
| $false ),
inference(rw,[status(thm)],[437,3059,theory(equality)]) ).
cnf(3440,plain,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[3439,theory(equality)]) ).
cnf(4033,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[307,204]) ).
cnf(4035,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(spm,[status(thm)],[4033,133,theory(equality)]) ).
cnf(4076,plain,
( aScalar0(sdtasdt0(xS,xS))
| $false
| ~ aScalar0(xS) ),
inference(rw,[status(thm)],[4035,3059,theory(equality)]) ).
cnf(4077,plain,
( aScalar0(sdtasdt0(xS,xS))
| $false
| $false ),
inference(rw,[status(thm)],[4076,185,theory(equality)]) ).
cnf(4078,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[4077,theory(equality)]) ).
cnf(10908,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN)) ),
inference(spm,[status(thm)],[156,472,theory(equality)]) ).
cnf(10992,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| $false
| ~ aScalar0(smndt0(xN)) ),
inference(rw,[status(thm)],[10908,4078,theory(equality)]) ).
cnf(10993,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| $false
| $false ),
inference(rw,[status(thm)],[10992,3440,theory(equality)]) ).
cnf(10994,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[10993,theory(equality)]) ).
cnf(10995,plain,
$false,
inference(sr,[status(thm)],[10994,205,theory(equality)]) ).
cnf(10996,plain,
$false,
10995,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG061+1.p
% --creating new selector for []
% -running prover on /tmp/tmpLcsVsB/sel_RNG061+1.p_1 with time limit 29
% -prover status Theorem
% Problem RNG061+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG061+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG061+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------