%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS128+1 : TPTP v5.0.0. Released v3.1.0.
% 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 : Sat Dec 25 13:01:28 EST 2010
% Result : Unsatisfiable 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 5 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 244 ( 96 ~; 93 |; 49 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 75 ( 2 sgn 45 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ca_Cx4xcomp(X1)
<=> ( cd(X1)
& cexcomp(X1) ) ),
file('/tmp/tmpBCz2H1/sel_KRS128+1.p_1',axiom_10) ).
fof(2,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/tmp/tmpBCz2H1/sel_KRS128+1.p_1',axiom_11) ).
fof(3,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& cexcomp(X2) )
& ! [X2] :
( rr(X1,X2)
=> cd(X2) )
& ! [X2] :
( rr(X1,X2)
=> ca_Cx4(X2) ) ) ),
file('/tmp/tmpBCz2H1/sel_KRS128+1.p_1',axiom_2) ).
fof(11,axiom,
! [X1] :
( ca_Cx4(X1)
<=> ? [X3] : ra_Px4(X1,X3) ),
file('/tmp/tmpBCz2H1/sel_KRS128+1.p_1',axiom_8) ).
fof(12,axiom,
! [X1] :
( ca_Cx4xcomp(X1)
<=> ~ ? [X2] : ra_Px4(X1,X2) ),
file('/tmp/tmpBCz2H1/sel_KRS128+1.p_1',axiom_9) ).
fof(15,plain,
! [X1] :
( ( ~ ca_Cx4xcomp(X1)
| ( cd(X1)
& cexcomp(X1) ) )
& ( ~ cd(X1)
| ~ cexcomp(X1)
| ca_Cx4xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(16,plain,
! [X2] :
( ( ~ ca_Cx4xcomp(X2)
| ( cd(X2)
& cexcomp(X2) ) )
& ( ~ cd(X2)
| ~ cexcomp(X2)
| ca_Cx4xcomp(X2) ) ),
inference(variable_rename,[status(thm)],[15]) ).
fof(17,plain,
! [X2] :
( ( cd(X2)
| ~ ca_Cx4xcomp(X2) )
& ( cexcomp(X2)
| ~ ca_Cx4xcomp(X2) )
& ( ~ cd(X2)
| ~ cexcomp(X2)
| ca_Cx4xcomp(X2) ) ),
inference(distribute,[status(thm)],[16]) ).
cnf(18,plain,
( ca_Cx4xcomp(X1)
| ~ cexcomp(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(21,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(split_conjunct,[status(thm)],[2]) ).
fof(22,plain,
! [X1] :
( ( ~ cUnsatisfiable(X1)
| ( ? [X2] :
( rr(X1,X2)
& cexcomp(X2) )
& ! [X2] :
( ~ rr(X1,X2)
| cd(X2) )
& ! [X2] :
( ~ rr(X1,X2)
| ca_Cx4(X2) ) ) )
& ( ! [X2] :
( ~ rr(X1,X2)
| ~ cexcomp(X2) )
| ? [X2] :
( rr(X1,X2)
& ~ cd(X2) )
| ? [X2] :
( rr(X1,X2)
& ~ ca_Cx4(X2) )
| cUnsatisfiable(X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(23,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( ? [X4] :
( rr(X3,X4)
& cexcomp(X4) )
& ! [X5] :
( ~ rr(X3,X5)
| cd(X5) )
& ! [X6] :
( ~ rr(X3,X6)
| ca_Cx4(X6) ) ) )
& ( ! [X7] :
( ~ rr(X3,X7)
| ~ cexcomp(X7) )
| ? [X8] :
( rr(X3,X8)
& ~ cd(X8) )
| ? [X9] :
( rr(X3,X9)
& ~ ca_Cx4(X9) )
| cUnsatisfiable(X3) ) ),
inference(variable_rename,[status(thm)],[22]) ).
fof(24,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( rr(X3,esk1_1(X3))
& cexcomp(esk1_1(X3))
& ! [X5] :
( ~ rr(X3,X5)
| cd(X5) )
& ! [X6] :
( ~ rr(X3,X6)
| ca_Cx4(X6) ) ) )
& ( ! [X7] :
( ~ rr(X3,X7)
| ~ cexcomp(X7) )
| ( rr(X3,esk2_1(X3))
& ~ cd(esk2_1(X3)) )
| ( rr(X3,esk3_1(X3))
& ~ ca_Cx4(esk3_1(X3)) )
| cUnsatisfiable(X3) ) ),
inference(skolemize,[status(esa)],[23]) ).
fof(25,plain,
! [X3,X5,X6,X7] :
( ( ~ rr(X3,X7)
| ~ cexcomp(X7)
| ( rr(X3,esk2_1(X3))
& ~ cd(esk2_1(X3)) )
| ( rr(X3,esk3_1(X3))
& ~ ca_Cx4(esk3_1(X3)) )
| cUnsatisfiable(X3) )
& ( ( ( ~ rr(X3,X6)
| ca_Cx4(X6) )
& ( ~ rr(X3,X5)
| cd(X5) )
& rr(X3,esk1_1(X3))
& cexcomp(esk1_1(X3)) )
| ~ cUnsatisfiable(X3) ) ),
inference(shift_quantors,[status(thm)],[24]) ).
fof(26,plain,
! [X3,X5,X6,X7] :
( ( rr(X3,esk3_1(X3))
| rr(X3,esk2_1(X3))
| ~ rr(X3,X7)
| ~ cexcomp(X7)
| cUnsatisfiable(X3) )
& ( ~ ca_Cx4(esk3_1(X3))
| rr(X3,esk2_1(X3))
| ~ rr(X3,X7)
| ~ cexcomp(X7)
| cUnsatisfiable(X3) )
& ( rr(X3,esk3_1(X3))
| ~ cd(esk2_1(X3))
| ~ rr(X3,X7)
| ~ cexcomp(X7)
| cUnsatisfiable(X3) )
& ( ~ ca_Cx4(esk3_1(X3))
| ~ cd(esk2_1(X3))
| ~ rr(X3,X7)
| ~ cexcomp(X7)
| cUnsatisfiable(X3) )
& ( ~ rr(X3,X6)
| ca_Cx4(X6)
| ~ cUnsatisfiable(X3) )
& ( ~ rr(X3,X5)
| cd(X5)
| ~ cUnsatisfiable(X3) )
& ( rr(X3,esk1_1(X3))
| ~ cUnsatisfiable(X3) )
& ( cexcomp(esk1_1(X3))
| ~ cUnsatisfiable(X3) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,plain,
( cexcomp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,plain,
( cd(X2)
| ~ cUnsatisfiable(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(30,plain,
( ca_Cx4(X2)
| ~ cUnsatisfiable(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(69,plain,
! [X1] :
( ( ~ ca_Cx4(X1)
| ? [X3] : ra_Px4(X1,X3) )
& ( ! [X3] : ~ ra_Px4(X1,X3)
| ca_Cx4(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(70,plain,
! [X4] :
( ( ~ ca_Cx4(X4)
| ? [X5] : ra_Px4(X4,X5) )
& ( ! [X6] : ~ ra_Px4(X4,X6)
| ca_Cx4(X4) ) ),
inference(variable_rename,[status(thm)],[69]) ).
fof(71,plain,
! [X4] :
( ( ~ ca_Cx4(X4)
| ra_Px4(X4,esk8_1(X4)) )
& ( ! [X6] : ~ ra_Px4(X4,X6)
| ca_Cx4(X4) ) ),
inference(skolemize,[status(esa)],[70]) ).
fof(72,plain,
! [X4,X6] :
( ( ~ ra_Px4(X4,X6)
| ca_Cx4(X4) )
& ( ~ ca_Cx4(X4)
| ra_Px4(X4,esk8_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[71]) ).
cnf(73,plain,
( ra_Px4(X1,esk8_1(X1))
| ~ ca_Cx4(X1) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(75,plain,
! [X1] :
( ( ~ ca_Cx4xcomp(X1)
| ! [X2] : ~ ra_Px4(X1,X2) )
& ( ? [X2] : ra_Px4(X1,X2)
| ca_Cx4xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(76,plain,
! [X3] :
( ( ~ ca_Cx4xcomp(X3)
| ! [X4] : ~ ra_Px4(X3,X4) )
& ( ? [X5] : ra_Px4(X3,X5)
| ca_Cx4xcomp(X3) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,plain,
! [X3] :
( ( ~ ca_Cx4xcomp(X3)
| ! [X4] : ~ ra_Px4(X3,X4) )
& ( ra_Px4(X3,esk9_1(X3))
| ca_Cx4xcomp(X3) ) ),
inference(skolemize,[status(esa)],[76]) ).
fof(78,plain,
! [X3,X4] :
( ( ~ ra_Px4(X3,X4)
| ~ ca_Cx4xcomp(X3) )
& ( ra_Px4(X3,esk9_1(X3))
| ca_Cx4xcomp(X3) ) ),
inference(shift_quantors,[status(thm)],[77]) ).
cnf(80,plain,
( ~ ca_Cx4xcomp(X1)
| ~ ra_Px4(X1,X2) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(95,plain,
( ~ ca_Cx4xcomp(X1)
| ~ ca_Cx4(X1) ),
inference(spm,[status(thm)],[80,73,theory(equality)]) ).
cnf(96,plain,
( cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[29,28,theory(equality)]) ).
cnf(97,plain,
( ca_Cx4(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[30,28,theory(equality)]) ).
cnf(104,plain,
( ~ ca_Cx4xcomp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[95,97,theory(equality)]) ).
cnf(105,plain,
( ~ cUnsatisfiable(X1)
| ~ cexcomp(esk1_1(X1))
| ~ cd(esk1_1(X1)) ),
inference(spm,[status(thm)],[104,18,theory(equality)]) ).
cnf(106,plain,
( ~ cUnsatisfiable(X1)
| ~ cexcomp(esk1_1(X1)) ),
inference(csr,[status(thm)],[105,96]) ).
cnf(107,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[106,27]) ).
cnf(108,plain,
$false,
inference(sr,[status(thm)],[21,107,theory(equality)]) ).
cnf(109,plain,
$false,
108,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS128+1.p
% --creating new selector for []
% -running prover on /tmp/tmpBCz2H1/sel_KRS128+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS128+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS128+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS128+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------