TSTP Solution File: KRS114+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS114+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 13:00:29 EST 2010
% Result : Unsatisfiable 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 5 unt; 0 def)
% Number of atoms : 293 ( 15 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 377 ( 147 ~; 143 |; 78 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 130 ( 2 sgn 79 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_10) ).
fof(2,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_11) ).
fof(9,axiom,
! [X1] :
( cp(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_3) ).
fof(13,axiom,
! [X1] :
( ca_Ax3(X1)
<=> ( cqxcomp(X1)
& cpxcomp(X1) ) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_7) ).
fof(14,axiom,
! [X1] :
( cpxcomp(X1)
<=> ? [X6] : ra_Px1(X1,X6) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_4) ).
fof(16,axiom,
! [X1] :
( ca_Ax4(X1)
<=> ( ! [X6,X7] :
( ( rinvR(X1,X6)
& rinvR(X1,X7) )
=> X6 = X7 )
& ? [X2] :
( rinvR(X1,X2)
& ca_Vx5(X2) ) ) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_8) ).
fof(17,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rs(X1,X2)
=> cp(X2) ) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_9) ).
fof(30,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& ca_Ax4(X2) )
& ? [X2] :
( rs(X1,X2)
& ca_Ax3(X2) ) ) ),
file('/tmp/tmpibZxSv/sel_KRS114+1.p_1',axiom_2) ).
fof(37,plain,
! [X1,X2] :
( ( ~ rinvR(X1,X2)
| rr(X2,X1) )
& ( ~ rr(X2,X1)
| rinvR(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(38,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| rr(X4,X3) )
& ( ~ rr(X4,X3)
| rinvR(X3,X4) ) ),
inference(variable_rename,[status(thm)],[37]) ).
cnf(39,plain,
( rinvR(X1,X2)
| ~ rr(X2,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(split_conjunct,[status(thm)],[2]) ).
fof(60,plain,
! [X1] :
( ( ~ cp(X1)
| ! [X2] : ~ ra_Px1(X1,X2) )
& ( ? [X2] : ra_Px1(X1,X2)
| cp(X1) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(61,plain,
! [X3] :
( ( ~ cp(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ? [X5] : ra_Px1(X3,X5)
| cp(X3) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,plain,
! [X3] :
( ( ~ cp(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ra_Px1(X3,esk1_1(X3))
| cp(X3) ) ),
inference(skolemize,[status(esa)],[61]) ).
fof(63,plain,
! [X3,X4] :
( ( ~ ra_Px1(X3,X4)
| ~ cp(X3) )
& ( ra_Px1(X3,esk1_1(X3))
| cp(X3) ) ),
inference(shift_quantors,[status(thm)],[62]) ).
cnf(65,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(78,plain,
! [X1] :
( ( ~ ca_Ax3(X1)
| ( cqxcomp(X1)
& cpxcomp(X1) ) )
& ( ~ cqxcomp(X1)
| ~ cpxcomp(X1)
| ca_Ax3(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(79,plain,
! [X2] :
( ( ~ ca_Ax3(X2)
| ( cqxcomp(X2)
& cpxcomp(X2) ) )
& ( ~ cqxcomp(X2)
| ~ cpxcomp(X2)
| ca_Ax3(X2) ) ),
inference(variable_rename,[status(thm)],[78]) ).
fof(80,plain,
! [X2] :
( ( cqxcomp(X2)
| ~ ca_Ax3(X2) )
& ( cpxcomp(X2)
| ~ ca_Ax3(X2) )
& ( ~ cqxcomp(X2)
| ~ cpxcomp(X2)
| ca_Ax3(X2) ) ),
inference(distribute,[status(thm)],[79]) ).
cnf(82,plain,
( cpxcomp(X1)
| ~ ca_Ax3(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(84,plain,
! [X1] :
( ( ~ cpxcomp(X1)
| ? [X6] : ra_Px1(X1,X6) )
& ( ! [X6] : ~ ra_Px1(X1,X6)
| cpxcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(85,plain,
! [X7] :
( ( ~ cpxcomp(X7)
| ? [X8] : ra_Px1(X7,X8) )
& ( ! [X9] : ~ ra_Px1(X7,X9)
| cpxcomp(X7) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X7] :
( ( ~ cpxcomp(X7)
| ra_Px1(X7,esk3_1(X7)) )
& ( ! [X9] : ~ ra_Px1(X7,X9)
| cpxcomp(X7) ) ),
inference(skolemize,[status(esa)],[85]) ).
fof(87,plain,
! [X7,X9] :
( ( ~ ra_Px1(X7,X9)
| cpxcomp(X7) )
& ( ~ cpxcomp(X7)
| ra_Px1(X7,esk3_1(X7)) ) ),
inference(shift_quantors,[status(thm)],[86]) ).
cnf(88,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(96,plain,
! [X1] :
( ( ~ ca_Ax4(X1)
| ( ! [X6,X7] :
( ~ rinvR(X1,X6)
| ~ rinvR(X1,X7)
| X6 = X7 )
& ? [X2] :
( rinvR(X1,X2)
& ca_Vx5(X2) ) ) )
& ( ? [X6,X7] :
( rinvR(X1,X6)
& rinvR(X1,X7)
& X6 != X7 )
| ! [X2] :
( ~ rinvR(X1,X2)
| ~ ca_Vx5(X2) )
| ca_Ax4(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(97,plain,
! [X8] :
( ( ~ ca_Ax4(X8)
| ( ! [X9,X10] :
( ~ rinvR(X8,X9)
| ~ rinvR(X8,X10)
| X9 = X10 )
& ? [X11] :
( rinvR(X8,X11)
& ca_Vx5(X11) ) ) )
& ( ? [X12,X13] :
( rinvR(X8,X12)
& rinvR(X8,X13)
& X12 != X13 )
| ! [X14] :
( ~ rinvR(X8,X14)
| ~ ca_Vx5(X14) )
| ca_Ax4(X8) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,plain,
! [X8] :
( ( ~ ca_Ax4(X8)
| ( ! [X9,X10] :
( ~ rinvR(X8,X9)
| ~ rinvR(X8,X10)
| X9 = X10 )
& rinvR(X8,esk5_1(X8))
& ca_Vx5(esk5_1(X8)) ) )
& ( ( rinvR(X8,esk6_1(X8))
& rinvR(X8,esk7_1(X8))
& esk6_1(X8) != esk7_1(X8) )
| ! [X14] :
( ~ rinvR(X8,X14)
| ~ ca_Vx5(X14) )
| ca_Ax4(X8) ) ),
inference(skolemize,[status(esa)],[97]) ).
fof(99,plain,
! [X8,X9,X10,X14] :
( ( ~ rinvR(X8,X14)
| ~ ca_Vx5(X14)
| ( rinvR(X8,esk6_1(X8))
& rinvR(X8,esk7_1(X8))
& esk6_1(X8) != esk7_1(X8) )
| ca_Ax4(X8) )
& ( ( ( ~ rinvR(X8,X9)
| ~ rinvR(X8,X10)
| X9 = X10 )
& rinvR(X8,esk5_1(X8))
& ca_Vx5(esk5_1(X8)) )
| ~ ca_Ax4(X8) ) ),
inference(shift_quantors,[status(thm)],[98]) ).
fof(100,plain,
! [X8,X9,X10,X14] :
( ( rinvR(X8,esk6_1(X8))
| ~ rinvR(X8,X14)
| ~ ca_Vx5(X14)
| ca_Ax4(X8) )
& ( rinvR(X8,esk7_1(X8))
| ~ rinvR(X8,X14)
| ~ ca_Vx5(X14)
| ca_Ax4(X8) )
& ( esk6_1(X8) != esk7_1(X8)
| ~ rinvR(X8,X14)
| ~ ca_Vx5(X14)
| ca_Ax4(X8) )
& ( ~ rinvR(X8,X9)
| ~ rinvR(X8,X10)
| X9 = X10
| ~ ca_Ax4(X8) )
& ( rinvR(X8,esk5_1(X8))
| ~ ca_Ax4(X8) )
& ( ca_Vx5(esk5_1(X8))
| ~ ca_Ax4(X8) ) ),
inference(distribute,[status(thm)],[99]) ).
cnf(101,plain,
( ca_Vx5(esk5_1(X1))
| ~ ca_Ax4(X1) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(102,plain,
( rinvR(X1,esk5_1(X1))
| ~ ca_Ax4(X1) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(103,plain,
( X2 = X3
| ~ ca_Ax4(X1)
| ~ rinvR(X1,X3)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(107,plain,
! [X1] :
( ( ~ ca_Vx5(X1)
| ! [X2] :
( ~ rs(X1,X2)
| cp(X2) ) )
& ( ? [X2] :
( rs(X1,X2)
& ~ cp(X2) )
| ca_Vx5(X1) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(108,plain,
! [X3] :
( ( ~ ca_Vx5(X3)
| ! [X4] :
( ~ rs(X3,X4)
| cp(X4) ) )
& ( ? [X5] :
( rs(X3,X5)
& ~ cp(X5) )
| ca_Vx5(X3) ) ),
inference(variable_rename,[status(thm)],[107]) ).
fof(109,plain,
! [X3] :
( ( ~ ca_Vx5(X3)
| ! [X4] :
( ~ rs(X3,X4)
| cp(X4) ) )
& ( ( rs(X3,esk8_1(X3))
& ~ cp(esk8_1(X3)) )
| ca_Vx5(X3) ) ),
inference(skolemize,[status(esa)],[108]) ).
fof(110,plain,
! [X3,X4] :
( ( ~ rs(X3,X4)
| cp(X4)
| ~ ca_Vx5(X3) )
& ( ( rs(X3,esk8_1(X3))
& ~ cp(esk8_1(X3)) )
| ca_Vx5(X3) ) ),
inference(shift_quantors,[status(thm)],[109]) ).
fof(111,plain,
! [X3,X4] :
( ( ~ rs(X3,X4)
| cp(X4)
| ~ ca_Vx5(X3) )
& ( rs(X3,esk8_1(X3))
| ca_Vx5(X3) )
& ( ~ cp(esk8_1(X3))
| ca_Vx5(X3) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(114,plain,
( cp(X2)
| ~ ca_Vx5(X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[111]) ).
fof(151,plain,
! [X1] :
( ( ~ cUnsatisfiable(X1)
| ( ? [X2] :
( rr(X1,X2)
& ca_Ax4(X2) )
& ? [X2] :
( rs(X1,X2)
& ca_Ax3(X2) ) ) )
& ( ! [X2] :
( ~ rr(X1,X2)
| ~ ca_Ax4(X2) )
| ! [X2] :
( ~ rs(X1,X2)
| ~ ca_Ax3(X2) )
| cUnsatisfiable(X1) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(152,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( ? [X4] :
( rr(X3,X4)
& ca_Ax4(X4) )
& ? [X5] :
( rs(X3,X5)
& ca_Ax3(X5) ) ) )
& ( ! [X6] :
( ~ rr(X3,X6)
| ~ ca_Ax4(X6) )
| ! [X7] :
( ~ rs(X3,X7)
| ~ ca_Ax3(X7) )
| cUnsatisfiable(X3) ) ),
inference(variable_rename,[status(thm)],[151]) ).
fof(153,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( rr(X3,esk9_1(X3))
& ca_Ax4(esk9_1(X3))
& rs(X3,esk10_1(X3))
& ca_Ax3(esk10_1(X3)) ) )
& ( ! [X6] :
( ~ rr(X3,X6)
| ~ ca_Ax4(X6) )
| ! [X7] :
( ~ rs(X3,X7)
| ~ ca_Ax3(X7) )
| cUnsatisfiable(X3) ) ),
inference(skolemize,[status(esa)],[152]) ).
fof(154,plain,
! [X3,X6,X7] :
( ( ~ rs(X3,X7)
| ~ ca_Ax3(X7)
| ~ rr(X3,X6)
| ~ ca_Ax4(X6)
| cUnsatisfiable(X3) )
& ( ~ cUnsatisfiable(X3)
| ( rr(X3,esk9_1(X3))
& ca_Ax4(esk9_1(X3))
& rs(X3,esk10_1(X3))
& ca_Ax3(esk10_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[153]) ).
fof(155,plain,
! [X3,X6,X7] :
( ( ~ rs(X3,X7)
| ~ ca_Ax3(X7)
| ~ rr(X3,X6)
| ~ ca_Ax4(X6)
| cUnsatisfiable(X3) )
& ( rr(X3,esk9_1(X3))
| ~ cUnsatisfiable(X3) )
& ( ca_Ax4(esk9_1(X3))
| ~ cUnsatisfiable(X3) )
& ( rs(X3,esk10_1(X3))
| ~ cUnsatisfiable(X3) )
& ( ca_Ax3(esk10_1(X3))
| ~ cUnsatisfiable(X3) ) ),
inference(distribute,[status(thm)],[154]) ).
cnf(156,plain,
( ca_Ax3(esk10_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(157,plain,
( rs(X1,esk10_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(158,plain,
( ca_Ax4(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(159,plain,
( rr(X1,esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(181,plain,
( rinvR(esk9_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[39,159,theory(equality)]) ).
cnf(185,plain,
( ~ cp(X1)
| ~ cpxcomp(X1) ),
inference(spm,[status(thm)],[65,88,theory(equality)]) ).
cnf(187,plain,
( cp(esk10_1(X1))
| ~ ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[114,157,theory(equality)]) ).
cnf(189,plain,
( X1 = esk5_1(X2)
| ~ ca_Ax4(X2)
| ~ rinvR(X2,X1) ),
inference(spm,[status(thm)],[103,102,theory(equality)]) ).
cnf(201,plain,
( ~ cp(X1)
| ~ ca_Ax3(X1) ),
inference(spm,[status(thm)],[185,82,theory(equality)]) ).
cnf(203,plain,
( ~ ca_Ax3(esk10_1(X1))
| ~ ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[201,187,theory(equality)]) ).
cnf(204,plain,
( ~ ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[203,156]) ).
cnf(206,plain,
( X1 = esk5_1(esk9_1(X1))
| ~ ca_Ax4(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[189,181,theory(equality)]) ).
cnf(207,plain,
( esk5_1(esk9_1(X1)) = X1
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[206,158]) ).
cnf(208,plain,
( ca_Vx5(X1)
| ~ ca_Ax4(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[101,207,theory(equality)]) ).
cnf(210,plain,
( ca_Vx5(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[208,158]) ).
cnf(211,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[210,204]) ).
cnf(212,plain,
$false,
inference(sr,[status(thm)],[41,211,theory(equality)]) ).
cnf(213,plain,
$false,
212,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS114+1.p
% --creating new selector for []
% -running prover on /tmp/tmpibZxSv/sel_KRS114+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS114+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS114+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS114+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
%
%------------------------------------------------------------------------------