TSTP Solution File: KRS117+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS117+1 : TPTP v5.0.0. Released v3.1.0.
% 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 : Sat Dec 25 13:00:42 EST 2010
% Result : Unsatisfiable 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 6 unt; 0 def)
% Number of atoms : 311 ( 9 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 391 ( 159 ~; 149 |; 72 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 150 ( 3 sgn 90 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_11) ).
fof(3,axiom,
! [X1,X2] :
( rf(X1,X2)
=> rr(X1,X2) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_12) ).
fof(7,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ccxcomp(X1)
& ! [X2] :
( rinvR(X1,X2)
=> ca_Vx3(X2) )
& ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) ) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_2) ).
fof(8,axiom,
! [X1] :
( cc(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_3) ).
fof(9,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_0) ).
fof(11,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_6) ).
fof(12,axiom,
! [X1] :
( cowlThing(X1)
=> ! [X7,X8] :
( ( rf(X1,X7)
& rf(X1,X8) )
=> X7 = X8 ) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_7) ).
fof(13,axiom,
! [X1] :
( ccxcomp(X1)
<=> ? [X7] : ra_Px1(X1,X7) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_4) ).
fof(14,axiom,
! [X1] :
( cd(X1)
<=> ( ? [X2] :
( rf(X1,X2)
& ccxcomp(X2) )
& cc(X1) ) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_5) ).
fof(15,axiom,
! [X1,X2] :
( rinvF(X1,X2)
<=> rf(X2,X1) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_8) ).
fof(16,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/tmp/tmpn9lrFh/sel_KRS117+1.p_1',axiom_9) ).
fof(33,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
cnf(38,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(split_conjunct,[status(thm)],[2]) ).
fof(39,plain,
! [X1,X2] :
( ~ rf(X1,X2)
| rr(X1,X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(40,plain,
! [X3,X4] :
( ~ rf(X3,X4)
| rr(X3,X4) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( rr(X1,X2)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(51,plain,
! [X1] :
( ( ~ cUnsatisfiable(X1)
| ( ccxcomp(X1)
& ! [X2] :
( ~ rinvR(X1,X2)
| ca_Vx3(X2) )
& ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) ) )
& ( ~ ccxcomp(X1)
| ? [X2] :
( rinvR(X1,X2)
& ~ ca_Vx3(X2) )
| ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
| cUnsatisfiable(X1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(52,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( ccxcomp(X3)
& ! [X4] :
( ~ rinvR(X3,X4)
| ca_Vx3(X4) )
& ? [X5] :
( rinvF(X3,X5)
& cd(X5) ) ) )
& ( ~ ccxcomp(X3)
| ? [X6] :
( rinvR(X3,X6)
& ~ ca_Vx3(X6) )
| ! [X7] :
( ~ rinvF(X3,X7)
| ~ cd(X7) )
| cUnsatisfiable(X3) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ( ccxcomp(X3)
& ! [X4] :
( ~ rinvR(X3,X4)
| ca_Vx3(X4) )
& rinvF(X3,esk1_1(X3))
& cd(esk1_1(X3)) ) )
& ( ~ ccxcomp(X3)
| ( rinvR(X3,esk2_1(X3))
& ~ ca_Vx3(esk2_1(X3)) )
| ! [X7] :
( ~ rinvF(X3,X7)
| ~ cd(X7) )
| cUnsatisfiable(X3) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X3,X4,X7] :
( ( ~ rinvF(X3,X7)
| ~ cd(X7)
| ~ ccxcomp(X3)
| ( rinvR(X3,esk2_1(X3))
& ~ ca_Vx3(esk2_1(X3)) )
| cUnsatisfiable(X3) )
& ( ( ( ~ rinvR(X3,X4)
| ca_Vx3(X4) )
& ccxcomp(X3)
& rinvF(X3,esk1_1(X3))
& cd(esk1_1(X3)) )
| ~ cUnsatisfiable(X3) ) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X3,X4,X7] :
( ( rinvR(X3,esk2_1(X3))
| ~ ccxcomp(X3)
| ~ rinvF(X3,X7)
| ~ cd(X7)
| cUnsatisfiable(X3) )
& ( ~ ca_Vx3(esk2_1(X3))
| ~ ccxcomp(X3)
| ~ rinvF(X3,X7)
| ~ cd(X7)
| cUnsatisfiable(X3) )
& ( ~ rinvR(X3,X4)
| ca_Vx3(X4)
| ~ cUnsatisfiable(X3) )
& ( ccxcomp(X3)
| ~ cUnsatisfiable(X3) )
& ( rinvF(X3,esk1_1(X3))
| ~ cUnsatisfiable(X3) )
& ( cd(esk1_1(X3))
| ~ cUnsatisfiable(X3) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(56,plain,
( cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( rinvF(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(59,plain,
( ca_Vx3(X2)
| ~ cUnsatisfiable(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(62,plain,
! [X1] :
( ( ~ cc(X1)
| ! [X2] : ~ ra_Px1(X1,X2) )
& ( ? [X2] : ra_Px1(X1,X2)
| cc(X1) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(63,plain,
! [X3] :
( ( ~ cc(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ? [X5] : ra_Px1(X3,X5)
| cc(X3) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,plain,
! [X3] :
( ( ~ cc(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ra_Px1(X3,esk3_1(X3))
| cc(X3) ) ),
inference(skolemize,[status(esa)],[63]) ).
fof(65,plain,
! [X3,X4] :
( ( ~ ra_Px1(X3,X4)
| ~ cc(X3) )
& ( ra_Px1(X3,esk3_1(X3))
| cc(X3) ) ),
inference(shift_quantors,[status(thm)],[64]) ).
cnf(67,plain,
( ~ cc(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(68,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(70,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[68]) ).
fof(75,plain,
! [X1] :
( ( ~ ca_Vx3(X1)
| ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) )
& ( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
| ca_Vx3(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(76,plain,
! [X3] :
( ( ~ ca_Vx3(X3)
| ? [X4] :
( rinvF(X3,X4)
& cd(X4) ) )
& ( ! [X5] :
( ~ rinvF(X3,X5)
| ~ cd(X5) )
| ca_Vx3(X3) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,plain,
! [X3] :
( ( ~ ca_Vx3(X3)
| ( rinvF(X3,esk4_1(X3))
& cd(esk4_1(X3)) ) )
& ( ! [X5] :
( ~ rinvF(X3,X5)
| ~ cd(X5) )
| ca_Vx3(X3) ) ),
inference(skolemize,[status(esa)],[76]) ).
fof(78,plain,
! [X3,X5] :
( ( ~ rinvF(X3,X5)
| ~ cd(X5)
| ca_Vx3(X3) )
& ( ~ ca_Vx3(X3)
| ( rinvF(X3,esk4_1(X3))
& cd(esk4_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[77]) ).
fof(79,plain,
! [X3,X5] :
( ( ~ rinvF(X3,X5)
| ~ cd(X5)
| ca_Vx3(X3) )
& ( rinvF(X3,esk4_1(X3))
| ~ ca_Vx3(X3) )
& ( cd(esk4_1(X3))
| ~ ca_Vx3(X3) ) ),
inference(distribute,[status(thm)],[78]) ).
cnf(80,plain,
( cd(esk4_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(81,plain,
( rinvF(X1,esk4_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[79]) ).
fof(83,plain,
! [X1] :
( ~ cowlThing(X1)
| ! [X7,X8] :
( ~ rf(X1,X7)
| ~ rf(X1,X8)
| X7 = X8 ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(84,plain,
! [X9] :
( ~ cowlThing(X9)
| ! [X10,X11] :
( ~ rf(X9,X10)
| ~ rf(X9,X11)
| X10 = X11 ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X9,X10,X11] :
( ~ rf(X9,X10)
| ~ rf(X9,X11)
| X10 = X11
| ~ cowlThing(X9) ),
inference(shift_quantors,[status(thm)],[84]) ).
cnf(86,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf(X1,X3)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(87,plain,
! [X1] :
( ( ~ ccxcomp(X1)
| ? [X7] : ra_Px1(X1,X7) )
& ( ! [X7] : ~ ra_Px1(X1,X7)
| ccxcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(88,plain,
! [X8] :
( ( ~ ccxcomp(X8)
| ? [X9] : ra_Px1(X8,X9) )
& ( ! [X10] : ~ ra_Px1(X8,X10)
| ccxcomp(X8) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,plain,
! [X8] :
( ( ~ ccxcomp(X8)
| ra_Px1(X8,esk5_1(X8)) )
& ( ! [X10] : ~ ra_Px1(X8,X10)
| ccxcomp(X8) ) ),
inference(skolemize,[status(esa)],[88]) ).
fof(90,plain,
! [X8,X10] :
( ( ~ ra_Px1(X8,X10)
| ccxcomp(X8) )
& ( ~ ccxcomp(X8)
| ra_Px1(X8,esk5_1(X8)) ) ),
inference(shift_quantors,[status(thm)],[89]) ).
cnf(91,plain,
( ra_Px1(X1,esk5_1(X1))
| ~ ccxcomp(X1) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(93,plain,
! [X1] :
( ( ~ cd(X1)
| ( ? [X2] :
( rf(X1,X2)
& ccxcomp(X2) )
& cc(X1) ) )
& ( ! [X2] :
( ~ rf(X1,X2)
| ~ ccxcomp(X2) )
| ~ cc(X1)
| cd(X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(94,plain,
! [X3] :
( ( ~ cd(X3)
| ( ? [X4] :
( rf(X3,X4)
& ccxcomp(X4) )
& cc(X3) ) )
& ( ! [X5] :
( ~ rf(X3,X5)
| ~ ccxcomp(X5) )
| ~ cc(X3)
| cd(X3) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X3] :
( ( ~ cd(X3)
| ( rf(X3,esk6_1(X3))
& ccxcomp(esk6_1(X3))
& cc(X3) ) )
& ( ! [X5] :
( ~ rf(X3,X5)
| ~ ccxcomp(X5) )
| ~ cc(X3)
| cd(X3) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,plain,
! [X3,X5] :
( ( ~ rf(X3,X5)
| ~ ccxcomp(X5)
| ~ cc(X3)
| cd(X3) )
& ( ~ cd(X3)
| ( rf(X3,esk6_1(X3))
& ccxcomp(esk6_1(X3))
& cc(X3) ) ) ),
inference(shift_quantors,[status(thm)],[95]) ).
fof(97,plain,
! [X3,X5] :
( ( ~ rf(X3,X5)
| ~ ccxcomp(X5)
| ~ cc(X3)
| cd(X3) )
& ( rf(X3,esk6_1(X3))
| ~ cd(X3) )
& ( ccxcomp(esk6_1(X3))
| ~ cd(X3) )
& ( cc(X3)
| ~ cd(X3) ) ),
inference(distribute,[status(thm)],[96]) ).
cnf(98,plain,
( cc(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(99,plain,
( ccxcomp(esk6_1(X1))
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(100,plain,
( rf(X1,esk6_1(X1))
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(102,plain,
! [X1,X2] :
( ( ~ rinvF(X1,X2)
| rf(X2,X1) )
& ( ~ rf(X2,X1)
| rinvF(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(103,plain,
! [X3,X4] :
( ( ~ rinvF(X3,X4)
| rf(X4,X3) )
& ( ~ rf(X4,X3)
| rinvF(X3,X4) ) ),
inference(variable_rename,[status(thm)],[102]) ).
cnf(105,plain,
( rf(X1,X2)
| ~ rinvF(X2,X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(106,plain,
! [X1,X2] :
( ( ~ rinvR(X1,X2)
| rr(X2,X1) )
& ( ~ rr(X2,X1)
| rinvR(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(107,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| rr(X4,X3) )
& ( ~ rr(X4,X3)
| rinvR(X3,X4) ) ),
inference(variable_rename,[status(thm)],[106]) ).
cnf(108,plain,
( rinvR(X1,X2)
| ~ rr(X2,X1) ),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(158,plain,
( X2 = X3
| $false
| ~ rf(X1,X3)
| ~ rf(X1,X2) ),
inference(rw,[status(thm)],[86,70,theory(equality)]),
[unfolding] ).
cnf(164,plain,
( rf(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[105,57,theory(equality)]) ).
cnf(165,plain,
( rf(esk4_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[105,81,theory(equality)]) ).
cnf(167,plain,
( ~ cc(X1)
| ~ ccxcomp(X1) ),
inference(spm,[status(thm)],[67,91,theory(equality)]) ).
cnf(168,plain,
( X1 = esk6_1(X2)
| ~ rf(X2,X1)
| ~ cd(X2) ),
inference(spm,[status(thm)],[158,100,theory(equality)]) ).
cnf(169,plain,
( ca_Vx3(X1)
| ~ cUnsatisfiable(X2)
| ~ rr(X1,X2) ),
inference(spm,[status(thm)],[59,108,theory(equality)]) ).
cnf(178,plain,
( ~ ccxcomp(X1)
| ~ cd(X1) ),
inference(spm,[status(thm)],[167,98,theory(equality)]) ).
cnf(180,plain,
( ~ cd(esk6_1(X1))
| ~ cd(X1) ),
inference(spm,[status(thm)],[178,99,theory(equality)]) ).
cnf(188,plain,
( X1 = esk6_1(esk4_1(X1))
| ~ cd(esk4_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[168,165,theory(equality)]) ).
cnf(193,plain,
( ca_Vx3(X1)
| ~ cUnsatisfiable(X2)
| ~ rf(X1,X2) ),
inference(spm,[status(thm)],[169,41,theory(equality)]) ).
cnf(198,plain,
( ca_Vx3(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[193,164,theory(equality)]) ).
cnf(217,plain,
( esk6_1(esk4_1(X1)) = X1
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[188,80]) ).
cnf(220,plain,
( ~ cd(X1)
| ~ cd(esk4_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[180,217,theory(equality)]) ).
cnf(223,plain,
( ~ cd(X1)
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[220,80]) ).
cnf(226,plain,
( ~ cd(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[223,198,theory(equality)]) ).
cnf(233,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[226,56]) ).
cnf(234,plain,
$false,
inference(sr,[status(thm)],[38,233,theory(equality)]) ).
cnf(235,plain,
$false,
234,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS117+1.p
% --creating new selector for []
% -running prover on /tmp/tmpn9lrFh/sel_KRS117+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS117+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS117+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS117+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
%
%------------------------------------------------------------------------------