%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS158+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 13:03:40 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 19 unt; 0 def)
% Number of atoms : 409 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 565 ( 239 ~; 239 |; 77 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 2 sgn 33 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cC6(X1)
<=> ( cC4xcomp(X1)
& cC2xcomp(X1) ) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_14) ).
fof(3,axiom,
! [X1] :
( cTEST(X1)
<=> ( cTOP(X1)
& cC18(X1) ) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_16) ).
fof(9,axiom,
cTEST(iV16560),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_18) ).
fof(13,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_0) ).
fof(14,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_1) ).
fof(16,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_7) ).
fof(18,axiom,
! [X1] :
( cC12(X1)
<=> ( cC10xcomp(X1)
& cC2xcomp(X1) ) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_5) ).
fof(19,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_8) ).
fof(21,axiom,
cC2xcomp(iV16562),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_29) ).
fof(22,axiom,
cC10xcomp(iV16562),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_28) ).
fof(23,axiom,
cC2xcomp(iV16561),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_25) ).
fof(24,axiom,
cC4xcomp(iV16561),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',axiom_24) ).
fof(31,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
file('/tmp/tmpeqgHQV/sel_KRS158+1.p_1',the_axiom) ).
fof(32,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(33,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(34,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(35,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(fof_simplification,[status(thm)],[32,theory(equality)]) ).
fof(36,plain,
! [X1] :
( ( ~ cC6(X1)
| ( cC4xcomp(X1)
& cC2xcomp(X1) ) )
& ( ~ cC4xcomp(X1)
| ~ cC2xcomp(X1)
| cC6(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(37,plain,
! [X2] :
( ( ~ cC6(X2)
| ( cC4xcomp(X2)
& cC2xcomp(X2) ) )
& ( ~ cC4xcomp(X2)
| ~ cC2xcomp(X2)
| cC6(X2) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X2] :
( ( cC4xcomp(X2)
| ~ cC6(X2) )
& ( cC2xcomp(X2)
| ~ cC6(X2) )
& ( ~ cC4xcomp(X2)
| ~ cC2xcomp(X2)
| cC6(X2) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(39,plain,
( cC6(X1)
| ~ cC2xcomp(X1)
| ~ cC4xcomp(X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(50,plain,
! [X1] :
( ( ~ cTEST(X1)
| ( cTOP(X1)
& cC18(X1) ) )
& ( ~ cTOP(X1)
| ~ cC18(X1)
| cTEST(X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(51,plain,
! [X2] :
( ( ~ cTEST(X2)
| ( cTOP(X2)
& cC18(X2) ) )
& ( ~ cTOP(X2)
| ~ cC18(X2)
| cTEST(X2) ) ),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,plain,
! [X2] :
( ( cTOP(X2)
| ~ cTEST(X2) )
& ( cC18(X2)
| ~ cTEST(X2) )
& ( ~ cTOP(X2)
| ~ cC18(X2)
| cTEST(X2) ) ),
inference(distribute,[status(thm)],[51]) ).
cnf(54,plain,
( cC18(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(83,plain,
cTEST(iV16560),
inference(split_conjunct,[status(thm)],[9]) ).
fof(99,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(100,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[99]) ).
cnf(101,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[99]) ).
fof(102,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(103,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[102]) ).
cnf(104,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(105,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(114,plain,
! [X1] :
( ( ~ cC16(X1)
| ( cC14(X1)
& cC8(X1) ) )
& ( ~ cC14(X1)
| ~ cC8(X1)
| cC16(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(115,plain,
! [X2] :
( ( ~ cC16(X2)
| ( cC14(X2)
& cC8(X2) ) )
& ( ~ cC14(X2)
| ~ cC8(X2)
| cC16(X2) ) ),
inference(variable_rename,[status(thm)],[114]) ).
fof(116,plain,
! [X2] :
( ( cC14(X2)
| ~ cC16(X2) )
& ( cC8(X2)
| ~ cC16(X2) )
& ( ~ cC14(X2)
| ~ cC8(X2)
| cC16(X2) ) ),
inference(distribute,[status(thm)],[115]) ).
cnf(118,plain,
( cC8(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(119,plain,
( cC14(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(126,plain,
! [X1] :
( ( ~ cC12(X1)
| ( cC10xcomp(X1)
& cC2xcomp(X1) ) )
& ( ~ cC10xcomp(X1)
| ~ cC2xcomp(X1)
| cC12(X1) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(127,plain,
! [X2] :
( ( ~ cC12(X2)
| ( cC10xcomp(X2)
& cC2xcomp(X2) ) )
& ( ~ cC10xcomp(X2)
| ~ cC2xcomp(X2)
| cC12(X2) ) ),
inference(variable_rename,[status(thm)],[126]) ).
fof(128,plain,
! [X2] :
( ( cC10xcomp(X2)
| ~ cC12(X2) )
& ( cC2xcomp(X2)
| ~ cC12(X2) )
& ( ~ cC10xcomp(X2)
| ~ cC2xcomp(X2)
| cC12(X2) ) ),
inference(distribute,[status(thm)],[127]) ).
cnf(129,plain,
( cC12(X1)
| ~ cC2xcomp(X1)
| ~ cC10xcomp(X1) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(132,plain,
! [X1] :
( ( ~ cC18(X1)
| ( cTOP(X1)
& cC16(X1) ) )
& ( ~ cTOP(X1)
| ~ cC16(X1)
| cC18(X1) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(133,plain,
! [X2] :
( ( ~ cC18(X2)
| ( cTOP(X2)
& cC16(X2) ) )
& ( ~ cTOP(X2)
| ~ cC16(X2)
| cC18(X2) ) ),
inference(variable_rename,[status(thm)],[132]) ).
fof(134,plain,
! [X2] :
( ( cTOP(X2)
| ~ cC18(X2) )
& ( cC16(X2)
| ~ cC18(X2) )
& ( ~ cTOP(X2)
| ~ cC16(X2)
| cC18(X2) ) ),
inference(distribute,[status(thm)],[133]) ).
cnf(136,plain,
( cC16(X1)
| ~ cC18(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(144,plain,
cC2xcomp(iV16562),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(145,plain,
cC10xcomp(iV16562),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(146,plain,
cC2xcomp(iV16561),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(147,plain,
cC4xcomp(iV16561),
inference(split_conjunct,[status(thm)],[24]) ).
fof(158,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(159,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(variable_rename,[status(thm)],[158]) ).
fof(160,negated_conjecture,
( ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ( ( ~ xsd_string(esk12_0)
| xsd_integer(esk12_0) )
& ( xsd_string(esk12_0)
| ~ xsd_integer(esk12_0) ) )
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(skolemize,[status(esa)],[159]) ).
fof(161,negated_conjecture,
( ( ~ xsd_string(esk12_0)
| xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) )
& ( xsd_string(esk12_0)
| ~ xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ) ),
inference(distribute,[status(thm)],[160]) ).
cnf(162,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_string(esk12_0)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk11_0)
| ~ xsd_integer(esk12_0) ),
inference(split_conjunct,[status(thm)],[161]) ).
cnf(163,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_integer(esk12_0)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk11_0)
| ~ xsd_string(esk12_0) ),
inference(split_conjunct,[status(thm)],[161]) ).
cnf(167,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_string(esk12_0)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| $false
| $false
| $false
| $false
| ~ xsd_integer(esk12_0)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ cC16(iV16560) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[162,101,theory(equality)]),101,theory(equality)]),101,theory(equality)]),101,theory(equality)]),
[unfolding] ).
cnf(168,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_integer(esk12_0)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| $false
| $false
| $false
| $false
| ~ xsd_string(esk12_0)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ cC16(iV16560) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[163,101,theory(equality)]),101,theory(equality)]),101,theory(equality)]),101,theory(equality)]),
[unfolding] ).
cnf(171,plain,
cC18(iV16560),
inference(spm,[status(thm)],[54,83,theory(equality)]) ).
cnf(174,negated_conjecture,
( xsd_string(esk12_0)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ xsd_integer(esk12_0)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ cC16(iV16560) ),
inference(sr,[status(thm)],[167,100,theory(equality)]) ).
cnf(175,negated_conjecture,
( xsd_string(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ xsd_integer(esk12_0)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(csr,[status(thm)],[174,136]) ).
cnf(176,negated_conjecture,
( xsd_string(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(csr,[status(thm)],[175,104]) ).
cnf(177,negated_conjecture,
( xsd_integer(esk12_0)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ xsd_string(esk12_0)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ cC16(iV16560) ),
inference(sr,[status(thm)],[168,100,theory(equality)]) ).
cnf(178,negated_conjecture,
( xsd_integer(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ xsd_string(esk12_0)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(csr,[status(thm)],[177,136]) ).
cnf(179,negated_conjecture,
( xsd_integer(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(csr,[status(thm)],[178,176]) ).
cnf(180,negated_conjecture,
( ~ xsd_string(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(spm,[status(thm)],[105,179,theory(equality)]) ).
cnf(189,plain,
( cC6(iV16561)
| ~ cC2xcomp(iV16561) ),
inference(spm,[status(thm)],[39,147,theory(equality)]) ).
cnf(191,plain,
( cC6(iV16561)
| $false ),
inference(rw,[status(thm)],[189,146,theory(equality)]) ).
cnf(192,plain,
cC6(iV16561),
inference(cn,[status(thm)],[191,theory(equality)]) ).
cnf(200,plain,
( cC12(iV16562)
| ~ cC2xcomp(iV16562) ),
inference(spm,[status(thm)],[129,145,theory(equality)]) ).
cnf(202,plain,
( cC12(iV16562)
| $false ),
inference(rw,[status(thm)],[200,144,theory(equality)]) ).
cnf(203,plain,
cC12(iV16562),
inference(cn,[status(thm)],[202,theory(equality)]) ).
cnf(242,negated_conjecture,
( ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(csr,[status(thm)],[180,176]) ).
cnf(244,plain,
cC16(iV16560),
inference(spm,[status(thm)],[136,171,theory(equality)]) ).
cnf(245,negated_conjecture,
( ~ cC12(iV16562)
| ~ cC14(iV16560)
| $false
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(rw,[status(thm)],[242,171,theory(equality)]) ).
cnf(246,negated_conjecture,
( ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[245,theory(equality)]) ).
cnf(251,negated_conjecture,
( $false
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561) ),
inference(rw,[status(thm)],[246,203,theory(equality)]) ).
cnf(252,negated_conjecture,
( $false
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| $false ),
inference(rw,[status(thm)],[251,192,theory(equality)]) ).
cnf(253,negated_conjecture,
( ~ cC14(iV16560)
| ~ cC8(iV16560) ),
inference(cn,[status(thm)],[252,theory(equality)]) ).
cnf(254,negated_conjecture,
( ~ cC8(iV16560)
| ~ cC16(iV16560) ),
inference(spm,[status(thm)],[253,119,theory(equality)]) ).
cnf(255,negated_conjecture,
~ cC16(iV16560),
inference(csr,[status(thm)],[254,118]) ).
cnf(261,plain,
$false,
inference(sr,[status(thm)],[244,255,theory(equality)]) ).
cnf(262,plain,
$false,
261,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS158+1.p
% --creating new selector for []
% -running prover on /tmp/tmpeqgHQV/sel_KRS158+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS158+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS158+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS158+1.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
%
%------------------------------------------------------------------------------