TSTP Solution File: KRS104+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS104+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 12:59:48 EST 2010
% Result : Unsatisfiable 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 142 ( 7 unt; 0 def)
% Number of atoms : 470 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 533 ( 205 ~; 222 |; 87 &)
% ( 17 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 226 ( 7 sgn 134 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ca_Cx6(X1)
<=> ~ ? [X2] : ra_Px6(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_14) ).
fof(2,axiom,
! [X1] :
( ca_Cx6xcomp(X1)
<=> ( ca(X1)
& cb(X1) ) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_15) ).
fof(3,axiom,
! [X1] :
( ca_Cx6xcomp(X1)
<=> ? [X3] : ra_Px6(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_16) ).
fof(4,axiom,
! [X1] :
( ca_Cx7(X1)
<=> ? [X3] : ra_Px7(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_17) ).
fof(5,axiom,
! [X1] :
( ccxcomp(X1)
<=> ~ ? [X2] : ra_Px2(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_10) ).
fof(6,axiom,
! [X1] :
( ca_Cx1(X1)
<=> ( cbxcomp(X1)
& ccxcomp(X1) ) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_11) ).
fof(9,axiom,
! [X1] :
( ca_Cx7xcomp(X1)
<=> ( cc(X1)
& ca(X1) ) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_18) ).
fof(10,axiom,
! [X1] :
( ca_Cx7xcomp(X1)
<=> ~ ? [X2] : ra_Px7(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_19) ).
fof(11,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ~ ? [X2] : ra_Px5(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_2) ).
fof(12,axiom,
! [X1] :
( cUnsatisfiablexcomp(X1)
<=> ( ca_Cx7(X1)
& ca_Cx8(X1)
& ca_Cx6(X1) ) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_3) ).
fof(15,axiom,
! [X1] :
( cb(X1)
<=> ? [X3] : ra_Px3(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_6) ).
fof(16,axiom,
! [X1] :
( cb(X1)
=> ccxcomp(X1) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_7) ).
fof(17,axiom,
! [X1] :
( cUnsatisfiablexcomp(X1)
<=> ? [X3] : ra_Px5(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_4) ).
fof(18,axiom,
! [X1] :
( ca(X1)
=> ca_Cx1(X1) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_5) ).
fof(19,axiom,
! [X1] :
( cbxcomp(X1)
<=> ~ ? [X2] : ra_Px3(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_8) ).
fof(20,axiom,
! [X1] :
( cc(X1)
<=> ? [X3] : ra_Px2(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_9) ).
fof(21,axiom,
! [X1] :
( ca_Cx8xcomp(X1)
<=> ? [X3] : ra_Px8(X1,X3) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_21) ).
fof(22,axiom,
! [X1] :
( ca_Cx8(X1)
<=> ~ ? [X2] : ra_Px8(X1,X2) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_20) ).
fof(23,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_23) ).
fof(24,axiom,
! [X1] :
( ca_Cx8xcomp(X1)
<=> ( cc(X1)
& cb(X1) ) ),
file('/tmp/tmp8xfaCY/sel_KRS104+1.p_1',axiom_22) ).
fof(27,plain,
! [X1] :
( ( ~ ca_Cx6(X1)
| ! [X2] : ~ ra_Px6(X1,X2) )
& ( ? [X2] : ra_Px6(X1,X2)
| ca_Cx6(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(28,plain,
! [X3] :
( ( ~ ca_Cx6(X3)
| ! [X4] : ~ ra_Px6(X3,X4) )
& ( ? [X5] : ra_Px6(X3,X5)
| ca_Cx6(X3) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,plain,
! [X3] :
( ( ~ ca_Cx6(X3)
| ! [X4] : ~ ra_Px6(X3,X4) )
& ( ra_Px6(X3,esk1_1(X3))
| ca_Cx6(X3) ) ),
inference(skolemize,[status(esa)],[28]) ).
fof(30,plain,
! [X3,X4] :
( ( ~ ra_Px6(X3,X4)
| ~ ca_Cx6(X3) )
& ( ra_Px6(X3,esk1_1(X3))
| ca_Cx6(X3) ) ),
inference(shift_quantors,[status(thm)],[29]) ).
cnf(31,plain,
( ca_Cx6(X1)
| ra_Px6(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(33,plain,
! [X1] :
( ( ~ ca_Cx6xcomp(X1)
| ( ca(X1)
& cb(X1) ) )
& ( ~ ca(X1)
| ~ cb(X1)
| ca_Cx6xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(34,plain,
! [X2] :
( ( ~ ca_Cx6xcomp(X2)
| ( ca(X2)
& cb(X2) ) )
& ( ~ ca(X2)
| ~ cb(X2)
| ca_Cx6xcomp(X2) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X2] :
( ( ca(X2)
| ~ ca_Cx6xcomp(X2) )
& ( cb(X2)
| ~ ca_Cx6xcomp(X2) )
& ( ~ ca(X2)
| ~ cb(X2)
| ca_Cx6xcomp(X2) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(37,plain,
( cb(X1)
| ~ ca_Cx6xcomp(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(38,plain,
( ca(X1)
| ~ ca_Cx6xcomp(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(39,plain,
! [X1] :
( ( ~ ca_Cx6xcomp(X1)
| ? [X3] : ra_Px6(X1,X3) )
& ( ! [X3] : ~ ra_Px6(X1,X3)
| ca_Cx6xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(40,plain,
! [X4] :
( ( ~ ca_Cx6xcomp(X4)
| ? [X5] : ra_Px6(X4,X5) )
& ( ! [X6] : ~ ra_Px6(X4,X6)
| ca_Cx6xcomp(X4) ) ),
inference(variable_rename,[status(thm)],[39]) ).
fof(41,plain,
! [X4] :
( ( ~ ca_Cx6xcomp(X4)
| ra_Px6(X4,esk2_1(X4)) )
& ( ! [X6] : ~ ra_Px6(X4,X6)
| ca_Cx6xcomp(X4) ) ),
inference(skolemize,[status(esa)],[40]) ).
fof(42,plain,
! [X4,X6] :
( ( ~ ra_Px6(X4,X6)
| ca_Cx6xcomp(X4) )
& ( ~ ca_Cx6xcomp(X4)
| ra_Px6(X4,esk2_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[41]) ).
cnf(44,plain,
( ca_Cx6xcomp(X1)
| ~ ra_Px6(X1,X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(45,plain,
! [X1] :
( ( ~ ca_Cx7(X1)
| ? [X3] : ra_Px7(X1,X3) )
& ( ! [X3] : ~ ra_Px7(X1,X3)
| ca_Cx7(X1) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(46,plain,
! [X4] :
( ( ~ ca_Cx7(X4)
| ? [X5] : ra_Px7(X4,X5) )
& ( ! [X6] : ~ ra_Px7(X4,X6)
| ca_Cx7(X4) ) ),
inference(variable_rename,[status(thm)],[45]) ).
fof(47,plain,
! [X4] :
( ( ~ ca_Cx7(X4)
| ra_Px7(X4,esk3_1(X4)) )
& ( ! [X6] : ~ ra_Px7(X4,X6)
| ca_Cx7(X4) ) ),
inference(skolemize,[status(esa)],[46]) ).
fof(48,plain,
! [X4,X6] :
( ( ~ ra_Px7(X4,X6)
| ca_Cx7(X4) )
& ( ~ ca_Cx7(X4)
| ra_Px7(X4,esk3_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[47]) ).
cnf(50,plain,
( ca_Cx7(X1)
| ~ ra_Px7(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(51,plain,
! [X1] :
( ( ~ ccxcomp(X1)
| ! [X2] : ~ ra_Px2(X1,X2) )
& ( ? [X2] : ra_Px2(X1,X2)
| ccxcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(52,plain,
! [X3] :
( ( ~ ccxcomp(X3)
| ! [X4] : ~ ra_Px2(X3,X4) )
& ( ? [X5] : ra_Px2(X3,X5)
| ccxcomp(X3) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X3] :
( ( ~ ccxcomp(X3)
| ! [X4] : ~ ra_Px2(X3,X4) )
& ( ra_Px2(X3,esk4_1(X3))
| ccxcomp(X3) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X3,X4] :
( ( ~ ra_Px2(X3,X4)
| ~ ccxcomp(X3) )
& ( ra_Px2(X3,esk4_1(X3))
| ccxcomp(X3) ) ),
inference(shift_quantors,[status(thm)],[53]) ).
cnf(56,plain,
( ~ ccxcomp(X1)
| ~ ra_Px2(X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(57,plain,
! [X1] :
( ( ~ ca_Cx1(X1)
| ( cbxcomp(X1)
& ccxcomp(X1) ) )
& ( ~ cbxcomp(X1)
| ~ ccxcomp(X1)
| ca_Cx1(X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(58,plain,
! [X2] :
( ( ~ ca_Cx1(X2)
| ( cbxcomp(X2)
& ccxcomp(X2) ) )
& ( ~ cbxcomp(X2)
| ~ ccxcomp(X2)
| ca_Cx1(X2) ) ),
inference(variable_rename,[status(thm)],[57]) ).
fof(59,plain,
! [X2] :
( ( cbxcomp(X2)
| ~ ca_Cx1(X2) )
& ( ccxcomp(X2)
| ~ ca_Cx1(X2) )
& ( ~ cbxcomp(X2)
| ~ ccxcomp(X2)
| ca_Cx1(X2) ) ),
inference(distribute,[status(thm)],[58]) ).
cnf(61,plain,
( ccxcomp(X1)
| ~ ca_Cx1(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(62,plain,
( cbxcomp(X1)
| ~ ca_Cx1(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(75,plain,
! [X1] :
( ( ~ ca_Cx7xcomp(X1)
| ( cc(X1)
& ca(X1) ) )
& ( ~ cc(X1)
| ~ ca(X1)
| ca_Cx7xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(76,plain,
! [X2] :
( ( ~ ca_Cx7xcomp(X2)
| ( cc(X2)
& ca(X2) ) )
& ( ~ cc(X2)
| ~ ca(X2)
| ca_Cx7xcomp(X2) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,plain,
! [X2] :
( ( cc(X2)
| ~ ca_Cx7xcomp(X2) )
& ( ca(X2)
| ~ ca_Cx7xcomp(X2) )
& ( ~ cc(X2)
| ~ ca(X2)
| ca_Cx7xcomp(X2) ) ),
inference(distribute,[status(thm)],[76]) ).
cnf(79,plain,
( ca(X1)
| ~ ca_Cx7xcomp(X1) ),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(80,plain,
( cc(X1)
| ~ ca_Cx7xcomp(X1) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(81,plain,
! [X1] :
( ( ~ ca_Cx7xcomp(X1)
| ! [X2] : ~ ra_Px7(X1,X2) )
& ( ? [X2] : ra_Px7(X1,X2)
| ca_Cx7xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(82,plain,
! [X3] :
( ( ~ ca_Cx7xcomp(X3)
| ! [X4] : ~ ra_Px7(X3,X4) )
& ( ? [X5] : ra_Px7(X3,X5)
| ca_Cx7xcomp(X3) ) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,plain,
! [X3] :
( ( ~ ca_Cx7xcomp(X3)
| ! [X4] : ~ ra_Px7(X3,X4) )
& ( ra_Px7(X3,esk7_1(X3))
| ca_Cx7xcomp(X3) ) ),
inference(skolemize,[status(esa)],[82]) ).
fof(84,plain,
! [X3,X4] :
( ( ~ ra_Px7(X3,X4)
| ~ ca_Cx7xcomp(X3) )
& ( ra_Px7(X3,esk7_1(X3))
| ca_Cx7xcomp(X3) ) ),
inference(shift_quantors,[status(thm)],[83]) ).
cnf(85,plain,
( ca_Cx7xcomp(X1)
| ra_Px7(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(87,plain,
! [X1] :
( ( ~ cUnsatisfiable(X1)
| ! [X2] : ~ ra_Px5(X1,X2) )
& ( ? [X2] : ra_Px5(X1,X2)
| cUnsatisfiable(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(88,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ! [X4] : ~ ra_Px5(X3,X4) )
& ( ? [X5] : ra_Px5(X3,X5)
| cUnsatisfiable(X3) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,plain,
! [X3] :
( ( ~ cUnsatisfiable(X3)
| ! [X4] : ~ ra_Px5(X3,X4) )
& ( ra_Px5(X3,esk8_1(X3))
| cUnsatisfiable(X3) ) ),
inference(skolemize,[status(esa)],[88]) ).
fof(90,plain,
! [X3,X4] :
( ( ~ ra_Px5(X3,X4)
| ~ cUnsatisfiable(X3) )
& ( ra_Px5(X3,esk8_1(X3))
| cUnsatisfiable(X3) ) ),
inference(shift_quantors,[status(thm)],[89]) ).
cnf(92,plain,
( ~ cUnsatisfiable(X1)
| ~ ra_Px5(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(93,plain,
! [X1] :
( ( ~ cUnsatisfiablexcomp(X1)
| ( ca_Cx7(X1)
& ca_Cx8(X1)
& ca_Cx6(X1) ) )
& ( ~ ca_Cx7(X1)
| ~ ca_Cx8(X1)
| ~ ca_Cx6(X1)
| cUnsatisfiablexcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(94,plain,
! [X2] :
( ( ~ cUnsatisfiablexcomp(X2)
| ( ca_Cx7(X2)
& ca_Cx8(X2)
& ca_Cx6(X2) ) )
& ( ~ ca_Cx7(X2)
| ~ ca_Cx8(X2)
| ~ ca_Cx6(X2)
| cUnsatisfiablexcomp(X2) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X2] :
( ( ca_Cx7(X2)
| ~ cUnsatisfiablexcomp(X2) )
& ( ca_Cx8(X2)
| ~ cUnsatisfiablexcomp(X2) )
& ( ca_Cx6(X2)
| ~ cUnsatisfiablexcomp(X2) )
& ( ~ ca_Cx7(X2)
| ~ ca_Cx8(X2)
| ~ ca_Cx6(X2)
| cUnsatisfiablexcomp(X2) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(96,plain,
( cUnsatisfiablexcomp(X1)
| ~ ca_Cx6(X1)
| ~ ca_Cx8(X1)
| ~ ca_Cx7(X1) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(107,plain,
! [X1] :
( ( ~ cb(X1)
| ? [X3] : ra_Px3(X1,X3) )
& ( ! [X3] : ~ ra_Px3(X1,X3)
| cb(X1) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(108,plain,
! [X4] :
( ( ~ cb(X4)
| ? [X5] : ra_Px3(X4,X5) )
& ( ! [X6] : ~ ra_Px3(X4,X6)
| cb(X4) ) ),
inference(variable_rename,[status(thm)],[107]) ).
fof(109,plain,
! [X4] :
( ( ~ cb(X4)
| ra_Px3(X4,esk9_1(X4)) )
& ( ! [X6] : ~ ra_Px3(X4,X6)
| cb(X4) ) ),
inference(skolemize,[status(esa)],[108]) ).
fof(110,plain,
! [X4,X6] :
( ( ~ ra_Px3(X4,X6)
| cb(X4) )
& ( ~ cb(X4)
| ra_Px3(X4,esk9_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[109]) ).
cnf(111,plain,
( ra_Px3(X1,esk9_1(X1))
| ~ cb(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(113,plain,
! [X1] :
( ~ cb(X1)
| ccxcomp(X1) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(114,plain,
! [X2] :
( ~ cb(X2)
| ccxcomp(X2) ),
inference(variable_rename,[status(thm)],[113]) ).
cnf(115,plain,
( ccxcomp(X1)
| ~ cb(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(116,plain,
! [X1] :
( ( ~ cUnsatisfiablexcomp(X1)
| ? [X3] : ra_Px5(X1,X3) )
& ( ! [X3] : ~ ra_Px5(X1,X3)
| cUnsatisfiablexcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(117,plain,
! [X4] :
( ( ~ cUnsatisfiablexcomp(X4)
| ? [X5] : ra_Px5(X4,X5) )
& ( ! [X6] : ~ ra_Px5(X4,X6)
| cUnsatisfiablexcomp(X4) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X4] :
( ( ~ cUnsatisfiablexcomp(X4)
| ra_Px5(X4,esk10_1(X4)) )
& ( ! [X6] : ~ ra_Px5(X4,X6)
| cUnsatisfiablexcomp(X4) ) ),
inference(skolemize,[status(esa)],[117]) ).
fof(119,plain,
! [X4,X6] :
( ( ~ ra_Px5(X4,X6)
| cUnsatisfiablexcomp(X4) )
& ( ~ cUnsatisfiablexcomp(X4)
| ra_Px5(X4,esk10_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[118]) ).
cnf(120,plain,
( ra_Px5(X1,esk10_1(X1))
| ~ cUnsatisfiablexcomp(X1) ),
inference(split_conjunct,[status(thm)],[119]) ).
fof(122,plain,
! [X1] :
( ~ ca(X1)
| ca_Cx1(X1) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(123,plain,
! [X2] :
( ~ ca(X2)
| ca_Cx1(X2) ),
inference(variable_rename,[status(thm)],[122]) ).
cnf(124,plain,
( ca_Cx1(X1)
| ~ ca(X1) ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(125,plain,
! [X1] :
( ( ~ cbxcomp(X1)
| ! [X2] : ~ ra_Px3(X1,X2) )
& ( ? [X2] : ra_Px3(X1,X2)
| cbxcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(126,plain,
! [X3] :
( ( ~ cbxcomp(X3)
| ! [X4] : ~ ra_Px3(X3,X4) )
& ( ? [X5] : ra_Px3(X3,X5)
| cbxcomp(X3) ) ),
inference(variable_rename,[status(thm)],[125]) ).
fof(127,plain,
! [X3] :
( ( ~ cbxcomp(X3)
| ! [X4] : ~ ra_Px3(X3,X4) )
& ( ra_Px3(X3,esk11_1(X3))
| cbxcomp(X3) ) ),
inference(skolemize,[status(esa)],[126]) ).
fof(128,plain,
! [X3,X4] :
( ( ~ ra_Px3(X3,X4)
| ~ cbxcomp(X3) )
& ( ra_Px3(X3,esk11_1(X3))
| cbxcomp(X3) ) ),
inference(shift_quantors,[status(thm)],[127]) ).
cnf(130,plain,
( ~ cbxcomp(X1)
| ~ ra_Px3(X1,X2) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(131,plain,
! [X1] :
( ( ~ cc(X1)
| ? [X3] : ra_Px2(X1,X3) )
& ( ! [X3] : ~ ra_Px2(X1,X3)
| cc(X1) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(132,plain,
! [X4] :
( ( ~ cc(X4)
| ? [X5] : ra_Px2(X4,X5) )
& ( ! [X6] : ~ ra_Px2(X4,X6)
| cc(X4) ) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,plain,
! [X4] :
( ( ~ cc(X4)
| ra_Px2(X4,esk12_1(X4)) )
& ( ! [X6] : ~ ra_Px2(X4,X6)
| cc(X4) ) ),
inference(skolemize,[status(esa)],[132]) ).
fof(134,plain,
! [X4,X6] :
( ( ~ ra_Px2(X4,X6)
| cc(X4) )
& ( ~ cc(X4)
| ra_Px2(X4,esk12_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[133]) ).
cnf(135,plain,
( ra_Px2(X1,esk12_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
fof(137,plain,
! [X1] :
( ( ~ ca_Cx8xcomp(X1)
| ? [X3] : ra_Px8(X1,X3) )
& ( ! [X3] : ~ ra_Px8(X1,X3)
| ca_Cx8xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(138,plain,
! [X4] :
( ( ~ ca_Cx8xcomp(X4)
| ? [X5] : ra_Px8(X4,X5) )
& ( ! [X6] : ~ ra_Px8(X4,X6)
| ca_Cx8xcomp(X4) ) ),
inference(variable_rename,[status(thm)],[137]) ).
fof(139,plain,
! [X4] :
( ( ~ ca_Cx8xcomp(X4)
| ra_Px8(X4,esk13_1(X4)) )
& ( ! [X6] : ~ ra_Px8(X4,X6)
| ca_Cx8xcomp(X4) ) ),
inference(skolemize,[status(esa)],[138]) ).
fof(140,plain,
! [X4,X6] :
( ( ~ ra_Px8(X4,X6)
| ca_Cx8xcomp(X4) )
& ( ~ ca_Cx8xcomp(X4)
| ra_Px8(X4,esk13_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[139]) ).
cnf(142,plain,
( ca_Cx8xcomp(X1)
| ~ ra_Px8(X1,X2) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(143,plain,
! [X1] :
( ( ~ ca_Cx8(X1)
| ! [X2] : ~ ra_Px8(X1,X2) )
& ( ? [X2] : ra_Px8(X1,X2)
| ca_Cx8(X1) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(144,plain,
! [X3] :
( ( ~ ca_Cx8(X3)
| ! [X4] : ~ ra_Px8(X3,X4) )
& ( ? [X5] : ra_Px8(X3,X5)
| ca_Cx8(X3) ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,plain,
! [X3] :
( ( ~ ca_Cx8(X3)
| ! [X4] : ~ ra_Px8(X3,X4) )
& ( ra_Px8(X3,esk14_1(X3))
| ca_Cx8(X3) ) ),
inference(skolemize,[status(esa)],[144]) ).
fof(146,plain,
! [X3,X4] :
( ( ~ ra_Px8(X3,X4)
| ~ ca_Cx8(X3) )
& ( ra_Px8(X3,esk14_1(X3))
| ca_Cx8(X3) ) ),
inference(shift_quantors,[status(thm)],[145]) ).
cnf(147,plain,
( ca_Cx8(X1)
| ra_Px8(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(149,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(split_conjunct,[status(thm)],[23]) ).
fof(150,plain,
! [X1] :
( ( ~ ca_Cx8xcomp(X1)
| ( cc(X1)
& cb(X1) ) )
& ( ~ cc(X1)
| ~ cb(X1)
| ca_Cx8xcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(151,plain,
! [X2] :
( ( ~ ca_Cx8xcomp(X2)
| ( cc(X2)
& cb(X2) ) )
& ( ~ cc(X2)
| ~ cb(X2)
| ca_Cx8xcomp(X2) ) ),
inference(variable_rename,[status(thm)],[150]) ).
fof(152,plain,
! [X2] :
( ( cc(X2)
| ~ ca_Cx8xcomp(X2) )
& ( cb(X2)
| ~ ca_Cx8xcomp(X2) )
& ( ~ cc(X2)
| ~ cb(X2)
| ca_Cx8xcomp(X2) ) ),
inference(distribute,[status(thm)],[151]) ).
cnf(154,plain,
( cb(X1)
| ~ ca_Cx8xcomp(X1) ),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(155,plain,
( cc(X1)
| ~ ca_Cx8xcomp(X1) ),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(156,plain,
( ca_Cx1(X1)
| ~ ca_Cx7xcomp(X1) ),
inference(spm,[status(thm)],[124,79,theory(equality)]) ).
cnf(161,plain,
( ca_Cx6xcomp(X1)
| ca_Cx6(X1) ),
inference(spm,[status(thm)],[44,31,theory(equality)]) ).
cnf(170,plain,
( ca_Cx7(X1)
| ca_Cx7xcomp(X1) ),
inference(spm,[status(thm)],[50,85,theory(equality)]) ).
cnf(174,plain,
( ca_Cx8xcomp(X1)
| ca_Cx8(X1) ),
inference(spm,[status(thm)],[142,147,theory(equality)]) ).
cnf(184,plain,
( ~ ccxcomp(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[56,135,theory(equality)]) ).
cnf(188,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiablexcomp(X1) ),
inference(spm,[status(thm)],[92,120,theory(equality)]) ).
cnf(190,plain,
( ~ cbxcomp(X1)
| ~ cb(X1) ),
inference(spm,[status(thm)],[130,111,theory(equality)]) ).
cnf(197,plain,
( ~ cc(X1)
| ~ cb(X1) ),
inference(spm,[status(thm)],[184,115,theory(equality)]) ).
cnf(198,plain,
( ~ cc(X1)
| ~ ca_Cx1(X1) ),
inference(spm,[status(thm)],[184,61,theory(equality)]) ).
cnf(201,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| ~ ca_Cx8(X1)
| ~ ca_Cx6(X1) ),
inference(spm,[status(thm)],[96,170,theory(equality)]) ).
cnf(203,plain,
~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
inference(spm,[status(thm)],[188,149,theory(equality)]) ).
cnf(205,plain,
( ~ cb(X1)
| ~ ca_Cx1(X1) ),
inference(spm,[status(thm)],[190,62,theory(equality)]) ).
cnf(214,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| ca_Cx8xcomp(X1)
| ~ ca_Cx6(X1) ),
inference(spm,[status(thm)],[201,174,theory(equality)]) ).
cnf(219,plain,
( ca_Cx8xcomp(X1)
| cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| ca_Cx6xcomp(X1) ),
inference(spm,[status(thm)],[214,161,theory(equality)]) ).
cnf(220,plain,
( cb(X1)
| cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| ca_Cx6xcomp(X1) ),
inference(spm,[status(thm)],[154,219,theory(equality)]) ).
cnf(221,plain,
( cc(X1)
| cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| ca_Cx6xcomp(X1) ),
inference(spm,[status(thm)],[155,219,theory(equality)]) ).
cnf(223,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1)
| cb(X1) ),
inference(csr,[status(thm)],[220,37]) ).
cnf(224,plain,
( cc(X1)
| cUnsatisfiablexcomp(X1)
| cb(X1) ),
inference(spm,[status(thm)],[80,223,theory(equality)]) ).
cnf(225,plain,
( ca_Cx1(X1)
| cUnsatisfiablexcomp(X1)
| cb(X1) ),
inference(spm,[status(thm)],[156,223,theory(equality)]) ).
cnf(228,plain,
( cUnsatisfiablexcomp(X1)
| cc(X1)
| ca_Cx6xcomp(X1) ),
inference(csr,[status(thm)],[221,80]) ).
cnf(229,plain,
( ca(X1)
| cUnsatisfiablexcomp(X1)
| cc(X1) ),
inference(spm,[status(thm)],[38,228,theory(equality)]) ).
cnf(233,plain,
( cUnsatisfiablexcomp(X1)
| cb(X1)
| ~ ca_Cx1(X1) ),
inference(spm,[status(thm)],[198,224,theory(equality)]) ).
cnf(234,plain,
( cUnsatisfiablexcomp(X1)
| ~ ca_Cx1(X1) ),
inference(csr,[status(thm)],[233,205]) ).
cnf(235,plain,
( cUnsatisfiablexcomp(X1)
| cb(X1) ),
inference(csr,[status(thm)],[225,234]) ).
cnf(237,plain,
( ca_Cx1(X1)
| cUnsatisfiablexcomp(X1)
| cc(X1) ),
inference(spm,[status(thm)],[124,229,theory(equality)]) ).
cnf(241,plain,
( cUnsatisfiablexcomp(X1)
| cc(X1) ),
inference(csr,[status(thm)],[237,234]) ).
cnf(242,plain,
( cUnsatisfiablexcomp(X1)
| ~ cb(X1) ),
inference(spm,[status(thm)],[197,241,theory(equality)]) ).
cnf(244,plain,
cUnsatisfiablexcomp(X1),
inference(csr,[status(thm)],[242,235]) ).
cnf(245,plain,
$false,
inference(rw,[status(thm)],[203,244,theory(equality)]) ).
cnf(246,plain,
$false,
inference(cn,[status(thm)],[245,theory(equality)]) ).
cnf(247,plain,
$false,
246,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS104+1.p
% --creating new selector for []
% -running prover on /tmp/tmp8xfaCY/sel_KRS104+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS104+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS104+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS104+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
%
%------------------------------------------------------------------------------