TSTP Solution File: KRS082+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS082+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 12:57:56 EST 2010
% Result : Unsatisfiable 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 5 unt; 0 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 29 ( 5 avg)
% Number of connectives : 352 ( 128 ~; 120 |; 86 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 146 ( 2 sgn 85 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( rs(X1,X2)
& ? [X3] :
( rp(X2,X3)
& cowlThing(X3) )
& ! [X3] :
( rr(X2,X3)
=> cc(X3) )
& ! [X3] :
( rp(X2,X3)
=> ? [X4] :
( rr(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( rp(X2,X3)
=> ? [X4] :
( rp(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( rp(X2,X3)
=> ! [X4] :
( rr(X3,X4)
=> cc(X4) ) )
& ? [X3] :
( rr(X2,X3)
& cowlThing(X3) ) ) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_2) ).
fof(2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_3) ).
fof(5,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_6) ).
fof(6,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_7) ).
fof(7,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ! [X3] :
( rinvP(X2,X3)
=> ! [X4] :
( rinvS(X3,X4)
=> ~ ca(X4) ) ) ) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_4) ).
fof(8,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_5) ).
fof(10,axiom,
cUnsatisfiable(i2003_11_14_17_19_28752),
file('/tmp/tmpXMzhIN/sel_KRS082+1.p_1',axiom_9) ).
fof(13,plain,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ! [X3] :
( rinvP(X2,X3)
=> ! [X4] :
( rinvS(X3,X4)
=> ~ ca(X4) ) ) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(14,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| ? [X2] :
( rs(X1,X2)
& ? [X3] :
( rp(X2,X3)
& cowlThing(X3) )
& ! [X3] :
( ~ rr(X2,X3)
| cc(X3) )
& ! [X3] :
( ~ rp(X2,X3)
| ? [X4] :
( rr(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( ~ rp(X2,X3)
| ? [X4] :
( rp(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( ~ rp(X2,X3)
| ! [X4] :
( ~ rr(X3,X4)
| cc(X4) ) )
& ? [X3] :
( rr(X2,X3)
& cowlThing(X3) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(15,plain,
! [X5] :
( ~ cUnsatisfiable(X5)
| ? [X6] :
( rs(X5,X6)
& ? [X7] :
( rp(X6,X7)
& cowlThing(X7) )
& ! [X8] :
( ~ rr(X6,X8)
| cc(X8) )
& ! [X9] :
( ~ rp(X6,X9)
| ? [X10] :
( rr(X9,X10)
& cowlThing(X10) ) )
& ! [X11] :
( ~ rp(X6,X11)
| ? [X12] :
( rp(X11,X12)
& cowlThing(X12) ) )
& ! [X13] :
( ~ rp(X6,X13)
| ! [X14] :
( ~ rr(X13,X14)
| cc(X14) ) )
& ? [X15] :
( rr(X6,X15)
& cowlThing(X15) ) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X5] :
( ~ cUnsatisfiable(X5)
| ( rs(X5,esk1_1(X5))
& rp(esk1_1(X5),esk2_1(X5))
& cowlThing(esk2_1(X5))
& ! [X8] :
( ~ rr(esk1_1(X5),X8)
| cc(X8) )
& ! [X9] :
( ~ rp(esk1_1(X5),X9)
| ( rr(X9,esk3_2(X5,X9))
& cowlThing(esk3_2(X5,X9)) ) )
& ! [X11] :
( ~ rp(esk1_1(X5),X11)
| ( rp(X11,esk4_2(X5,X11))
& cowlThing(esk4_2(X5,X11)) ) )
& ! [X13] :
( ~ rp(esk1_1(X5),X13)
| ! [X14] :
( ~ rr(X13,X14)
| cc(X14) ) )
& rr(esk1_1(X5),esk5_1(X5))
& cowlThing(esk5_1(X5)) ) ),
inference(skolemize,[status(esa)],[15]) ).
fof(17,plain,
! [X5,X8,X9,X11,X13,X14] :
( ( ( ~ rr(X13,X14)
| cc(X14)
| ~ rp(esk1_1(X5),X13) )
& ( ~ rp(esk1_1(X5),X11)
| ( rp(X11,esk4_2(X5,X11))
& cowlThing(esk4_2(X5,X11)) ) )
& ( ~ rp(esk1_1(X5),X9)
| ( rr(X9,esk3_2(X5,X9))
& cowlThing(esk3_2(X5,X9)) ) )
& ( ~ rr(esk1_1(X5),X8)
| cc(X8) )
& rs(X5,esk1_1(X5))
& rp(esk1_1(X5),esk2_1(X5))
& cowlThing(esk2_1(X5))
& rr(esk1_1(X5),esk5_1(X5))
& cowlThing(esk5_1(X5)) )
| ~ cUnsatisfiable(X5) ),
inference(shift_quantors,[status(thm)],[16]) ).
fof(18,plain,
! [X5,X8,X9,X11,X13,X14] :
( ( ~ rr(X13,X14)
| cc(X14)
| ~ rp(esk1_1(X5),X13)
| ~ cUnsatisfiable(X5) )
& ( rp(X11,esk4_2(X5,X11))
| ~ rp(esk1_1(X5),X11)
| ~ cUnsatisfiable(X5) )
& ( cowlThing(esk4_2(X5,X11))
| ~ rp(esk1_1(X5),X11)
| ~ cUnsatisfiable(X5) )
& ( rr(X9,esk3_2(X5,X9))
| ~ rp(esk1_1(X5),X9)
| ~ cUnsatisfiable(X5) )
& ( cowlThing(esk3_2(X5,X9))
| ~ rp(esk1_1(X5),X9)
| ~ cUnsatisfiable(X5) )
& ( ~ rr(esk1_1(X5),X8)
| cc(X8)
| ~ cUnsatisfiable(X5) )
& ( rs(X5,esk1_1(X5))
| ~ cUnsatisfiable(X5) )
& ( rp(esk1_1(X5),esk2_1(X5))
| ~ cUnsatisfiable(X5) )
& ( cowlThing(esk2_1(X5))
| ~ cUnsatisfiable(X5) )
& ( rr(esk1_1(X5),esk5_1(X5))
| ~ cUnsatisfiable(X5) )
& ( cowlThing(esk5_1(X5))
| ~ cUnsatisfiable(X5) ) ),
inference(distribute,[status(thm)],[17]) ).
cnf(22,plain,
( rp(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(23,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(26,plain,
( rr(X2,esk3_2(X1,X2))
| ~ cUnsatisfiable(X1)
| ~ rp(esk1_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(29,plain,
( cc(X3)
| ~ cUnsatisfiable(X1)
| ~ rp(esk1_1(X1),X2)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(30,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| ca(X1) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(31,plain,
! [X2] :
( ~ cUnsatisfiable(X2)
| ca(X2) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( ca(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(40,plain,
! [X1,X2] :
( ( ~ rinvR(X1,X2)
| rr(X2,X1) )
& ( ~ rr(X2,X1)
| rinvR(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(41,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| rr(X4,X3) )
& ( ~ rr(X4,X3)
| rinvR(X3,X4) ) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( rinvR(X1,X2)
| ~ rr(X2,X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(44,plain,
! [X1,X2] :
( ( ~ rinvS(X1,X2)
| rs(X2,X1) )
& ( ~ rs(X2,X1)
| rinvS(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(45,plain,
! [X3,X4] :
( ( ~ rinvS(X3,X4)
| rs(X4,X3) )
& ( ~ rs(X4,X3)
| rinvS(X3,X4) ) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( rinvS(X1,X2)
| ~ rs(X2,X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(48,plain,
! [X1] :
( ( ~ cc(X1)
| ! [X2] :
( ~ rinvR(X1,X2)
| ! [X3] :
( ~ rinvP(X2,X3)
| ! [X4] :
( ~ rinvS(X3,X4)
| ~ ca(X4) ) ) ) )
& ( ? [X2] :
( rinvR(X1,X2)
& ? [X3] :
( rinvP(X2,X3)
& ? [X4] :
( rinvS(X3,X4)
& ca(X4) ) ) )
| cc(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(49,plain,
! [X5] :
( ( ~ cc(X5)
| ! [X6] :
( ~ rinvR(X5,X6)
| ! [X7] :
( ~ rinvP(X6,X7)
| ! [X8] :
( ~ rinvS(X7,X8)
| ~ ca(X8) ) ) ) )
& ( ? [X9] :
( rinvR(X5,X9)
& ? [X10] :
( rinvP(X9,X10)
& ? [X11] :
( rinvS(X10,X11)
& ca(X11) ) ) )
| cc(X5) ) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,plain,
! [X5] :
( ( ~ cc(X5)
| ! [X6] :
( ~ rinvR(X5,X6)
| ! [X7] :
( ~ rinvP(X6,X7)
| ! [X8] :
( ~ rinvS(X7,X8)
| ~ ca(X8) ) ) ) )
& ( ( rinvR(X5,esk6_1(X5))
& rinvP(esk6_1(X5),esk7_1(X5))
& rinvS(esk7_1(X5),esk8_1(X5))
& ca(esk8_1(X5)) )
| cc(X5) ) ),
inference(skolemize,[status(esa)],[49]) ).
fof(51,plain,
! [X5,X6,X7,X8] :
( ( ~ rinvS(X7,X8)
| ~ ca(X8)
| ~ rinvP(X6,X7)
| ~ rinvR(X5,X6)
| ~ cc(X5) )
& ( ( rinvR(X5,esk6_1(X5))
& rinvP(esk6_1(X5),esk7_1(X5))
& rinvS(esk7_1(X5),esk8_1(X5))
& ca(esk8_1(X5)) )
| cc(X5) ) ),
inference(shift_quantors,[status(thm)],[50]) ).
fof(52,plain,
! [X5,X6,X7,X8] :
( ( ~ rinvS(X7,X8)
| ~ ca(X8)
| ~ rinvP(X6,X7)
| ~ rinvR(X5,X6)
| ~ cc(X5) )
& ( rinvR(X5,esk6_1(X5))
| cc(X5) )
& ( rinvP(esk6_1(X5),esk7_1(X5))
| cc(X5) )
& ( rinvS(esk7_1(X5),esk8_1(X5))
| cc(X5) )
& ( ca(esk8_1(X5))
| cc(X5) ) ),
inference(distribute,[status(thm)],[51]) ).
cnf(57,plain,
( ~ cc(X1)
| ~ rinvR(X1,X2)
| ~ rinvP(X2,X3)
| ~ ca(X4)
| ~ rinvS(X3,X4) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(58,plain,
! [X1,X2] :
( ( ~ rinvP(X1,X2)
| rp(X2,X1) )
& ( ~ rp(X2,X1)
| rinvP(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(59,plain,
! [X3,X4] :
( ( ~ rinvP(X3,X4)
| rp(X4,X3) )
& ( ~ rp(X4,X3)
| rinvP(X3,X4) ) ),
inference(variable_rename,[status(thm)],[58]) ).
cnf(60,plain,
( rinvP(X1,X2)
| ~ rp(X2,X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(65,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(75,plain,
( rinvS(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[46,23,theory(equality)]) ).
cnf(81,plain,
( cc(X1)
| ~ rr(esk2_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[29,22,theory(equality)]) ).
cnf(83,plain,
( ~ rinvS(X2,X3)
| ~ rinvR(X4,X1)
| ~ ca(X3)
| ~ cc(X4)
| ~ rp(X2,X1) ),
inference(spm,[status(thm)],[57,60,theory(equality)]) ).
cnf(86,plain,
( ~ rinvR(X2,X3)
| ~ ca(X1)
| ~ cc(X2)
| ~ rp(esk1_1(X1),X3)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[83,75,theory(equality)]) ).
cnf(87,plain,
( ~ rinvR(X2,X3)
| ~ cc(X2)
| ~ rp(esk1_1(X1),X3)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[86,32]) ).
cnf(88,plain,
( ~ rinvR(X1,esk2_1(X2))
| ~ cc(X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[87,22,theory(equality)]) ).
cnf(90,plain,
( ~ cc(X1)
| ~ cUnsatisfiable(X2)
| ~ rr(esk2_1(X2),X1) ),
inference(spm,[status(thm)],[88,42,theory(equality)]) ).
cnf(93,plain,
( ~ rr(esk2_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(csr,[status(thm)],[81,90]) ).
cnf(94,plain,
( ~ cUnsatisfiable(X1)
| ~ rp(esk1_1(X2),esk2_1(X1))
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[93,26,theory(equality)]) ).
cnf(98,plain,
~ cUnsatisfiable(X1),
inference(spm,[status(thm)],[94,22,theory(equality)]) ).
cnf(103,plain,
$false,
inference(sr,[status(thm)],[65,98,theory(equality)]) ).
cnf(104,plain,
$false,
103,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS082+1.p
% --creating new selector for []
% -running prover on /tmp/tmpXMzhIN/sel_KRS082+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS082+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS082+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS082+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
%
%------------------------------------------------------------------------------