TSTP Solution File: RNG069+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG069+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 02:03:25 EST 2010
% Result : Theorem 5.02s
% Output : CNFRefutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 74 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 34 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',mDistr2) ).
fof(23,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__1911) ).
fof(25,axiom,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__2580) ).
fof(37,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__1892) ).
fof(39,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__1930) ).
fof(46,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__) ).
fof(56,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/tmp/tmp-9OtGI/sel_RNG069+2.p_1',m__1949) ).
fof(63,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(assume_negation,[status(cth)],[46]) ).
fof(64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(fof_simplification,[status(thm)],[63,theory(equality)]) ).
fof(68,plain,
! [X1,X2,X3,X4] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(69,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| sdtasdt0(sdtpldt0(X5,X6),sdtpldt0(X7,X8)) = sdtpldt0(sdtpldt0(sdtasdt0(X5,X7),sdtasdt0(X5,X8)),sdtpldt0(sdtasdt0(X6,X7),sdtasdt0(X6,X8))) ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(136,plain,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(139,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(181,plain,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(186,plain,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(206,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(238,plain,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(604,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(rw,[status(thm)],[139,238,theory(equality)]) ).
cnf(1027,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),xN),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xS))) = sdtasdt0(sdtpldt0(xR,X2),sdtpldt0(X1,xS))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(xR) ),
inference(spm,[status(thm)],[70,238,theory(equality)]) ).
cnf(1054,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[604,70,theory(equality)]) ).
cnf(1084,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),xN),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xS))) = sdtasdt0(sdtpldt0(xR,X2),sdtpldt0(X1,xS))
| $false
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(xR) ),
inference(rw,[status(thm)],[1027,186,theory(equality)]) ).
cnf(1085,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),xN),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xS))) = sdtasdt0(sdtpldt0(xR,X2),sdtpldt0(X1,xS))
| $false
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| $false ),
inference(rw,[status(thm)],[1084,181,theory(equality)]) ).
cnf(1086,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),xN),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xS))) = sdtasdt0(sdtpldt0(xR,X2),sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[1085,theory(equality)]) ).
cnf(1157,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))
| $false ),
inference(rw,[status(thm)],[1054,136,theory(equality)]) ).
cnf(1158,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(cn,[status(thm)],[1157,theory(equality)]) ).
cnf(139159,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(spm,[status(thm)],[1158,1086,theory(equality)]) ).
cnf(139203,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| $false
| ~ aScalar0(xS) ),
inference(rw,[status(thm)],[139159,181,theory(equality)]) ).
cnf(139204,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| $false
| $false ),
inference(rw,[status(thm)],[139203,186,theory(equality)]) ).
cnf(139205,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cn,[status(thm)],[139204,theory(equality)]) ).
cnf(139206,plain,
$false,
inference(sr,[status(thm)],[139205,206,theory(equality)]) ).
cnf(139207,plain,
$false,
139206,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG069+2.p
% --creating new selector for []
% -running prover on /tmp/tmp-9OtGI/sel_RNG069+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG069+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG069+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG069+2.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
%
%------------------------------------------------------------------------------