TSTP Solution File: LCL638+1.001 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL638+1.001 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 18:44:15 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 1
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 56 ( 10 avg)
% Number of connectives : 626 ( 299 ~; 249 |; 78 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 181 ( 0 sgn 125 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
file('/tmp/tmpBSldjv/sel_LCL638+1.001.p_1',main) ).
fof(2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(4,negated_conjecture,
? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) ) )
| p1(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
| ~ p1(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& p1(X1) ) ) )
| ? [X1] :
( r1(X2,X1)
& ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ? [X1] :
( r1(X2,X1)
& ~ p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& $true ) )
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(5,negated_conjecture,
? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ~ p1(X6) ) )
| p1(X4) )
& ! [X7] :
( ~ r1(X3,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ? [X9] :
( r1(X8,X9)
& p1(X9) ) )
| ~ p1(X7) )
& ! [X10] :
( ~ r1(X3,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ? [X13] :
( r1(X12,X13)
& p1(X13) ) ) )
| ? [X14] :
( r1(X10,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p1(X15) ) ) )
& ! [X16] :
( ~ r1(X3,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) ) )
& ! [X20] :
( ~ r1(X3,X20)
| ? [X21] :
( r1(X20,X21)
& $true ) )
& ? [X22] :
( r1(X3,X22)
& ~ p1(X22)
& ! [X23] :
( ~ r1(X22,X23)
| p1(X23) ) ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,negated_conjecture,
( ! [X4] :
( ~ r1(esk1_0,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ( r1(X5,esk2_2(X4,X5))
& ~ p1(esk2_2(X4,X5)) ) )
| p1(X4) )
& ! [X7] :
( ~ r1(esk1_0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ( r1(X8,esk3_2(X7,X8))
& p1(esk3_2(X7,X8)) ) )
| ~ p1(X7) )
& ! [X10] :
( ~ r1(esk1_0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ( r1(X12,esk4_3(X10,X11,X12))
& p1(esk4_3(X10,X11,X12)) ) ) )
| ( r1(X10,esk5_1(X10))
& ! [X15] :
( ~ r1(esk5_1(X10),X15)
| ~ p1(X15) ) ) )
& ! [X16] :
( ~ r1(esk1_0,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ( r1(X16,esk6_1(X16))
& ~ p1(esk6_1(X16)) ) )
& ! [X20] :
( ~ r1(esk1_0,X20)
| ( r1(X20,esk7_1(X20))
& $true ) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ! [X23] :
( ~ r1(esk8_0,X23)
| p1(X23) ) ),
inference(skolemize,[status(esa)],[5]) ).
fof(7,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12,X15,X16,X17,X18,X20,X23] :
( ( ~ r1(esk8_0,X23)
| p1(X23) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ( ~ r1(esk1_0,X20)
| ( r1(X20,esk7_1(X20))
& $true ) )
& ( ~ r1(X17,X18)
| p1(X18)
| ~ r1(X16,X17)
| ( r1(X16,esk6_1(X16))
& ~ p1(esk6_1(X16)) )
| ~ r1(esk1_0,X16) )
& ( ( ( ~ r1(esk5_1(X10),X15)
| ~ p1(X15) )
& r1(X10,esk5_1(X10)) )
| ~ r1(X11,X12)
| ( r1(X12,esk4_3(X10,X11,X12))
& p1(esk4_3(X10,X11,X12)) )
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( ~ r1(X7,X8)
| ( r1(X8,esk3_2(X7,X8))
& p1(esk3_2(X7,X8)) )
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( ~ r1(X4,X5)
| ( r1(X5,esk2_2(X4,X5))
& ~ p1(esk2_2(X4,X5)) )
| p1(X4)
| ~ r1(esk1_0,X4) ) ),
inference(shift_quantors,[status(thm)],[6]) ).
fof(8,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12,X15,X16,X17,X18,X20,X23] :
( ( ~ r1(esk8_0,X23)
| p1(X23) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ( r1(X20,esk7_1(X20))
| ~ r1(esk1_0,X20) )
& ( $true
| ~ r1(esk1_0,X20) )
& ( r1(X16,esk6_1(X16))
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(X16,X17)
| ~ r1(esk1_0,X16) )
& ( ~ p1(esk6_1(X16))
| ~ r1(X17,X18)
| p1(X18)
| ~ r1(X16,X17)
| ~ r1(esk1_0,X16) )
& ( r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| ~ r1(esk1_0,X10) )
& ( p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk5_1(X10),X15)
| ~ p1(X15)
| ~ r1(esk1_0,X10) )
& ( r1(X12,esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| r1(X10,esk5_1(X10))
| ~ r1(esk1_0,X10) )
& ( p1(esk4_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| r1(X10,esk5_1(X10))
| ~ r1(esk1_0,X10) )
& ( r1(X8,esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( p1(esk3_2(X7,X8))
| ~ r1(X7,X8)
| ~ p1(X7)
| ~ r1(esk1_0,X7) )
& ( r1(X5,esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) )
& ( ~ p1(esk2_2(X4,X5))
| ~ r1(X4,X5)
| p1(X4)
| ~ r1(esk1_0,X4) ) ),
inference(distribute,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
( p1(X1)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ p1(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(10,negated_conjecture,
( p1(X1)
| r1(X2,esk2_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(17,negated_conjecture,
( p1(X3)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p1(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(18,negated_conjecture,
( p1(X3)
| r1(X1,esk6_1(X1))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(20,negated_conjecture,
( r1(X1,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(21,negated_conjecture,
~ p1(esk8_0),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(22,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(23,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(26,negated_conjecture,
( p1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk8_0,esk6_1(X2)) ),
inference(spm,[status(thm)],[17,23,theory(equality)]) ).
cnf(29,negated_conjecture,
( p1(esk2_2(X1,X2))
| r1(X3,esk6_1(X3))
| p1(X1)
| ~ r1(esk1_0,X3)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[18,10,theory(equality)]) ).
cnf(93,negated_conjecture,
( p1(X1)
| r1(X3,esk6_1(X3))
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1)
| ~ r1(X3,X2)
| ~ r1(X1,X2) ),
inference(csr,[status(thm)],[29,9]) ).
cnf(95,negated_conjecture,
( p1(X1)
| r1(X2,esk6_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,esk7_1(X2)) ),
inference(spm,[status(thm)],[93,20,theory(equality)]) ).
cnf(140,negated_conjecture,
( p1(X1)
| r1(X1,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[95,20,theory(equality)]) ).
cnf(149,negated_conjecture,
( p1(X1)
| p1(esk8_0)
| ~ r1(esk1_0,esk8_0)
| ~ r1(X2,X1)
| ~ r1(esk8_0,X2) ),
inference(spm,[status(thm)],[26,140,theory(equality)]) ).
cnf(157,negated_conjecture,
( p1(X1)
| p1(esk8_0)
| $false
| ~ r1(X2,X1)
| ~ r1(esk8_0,X2) ),
inference(rw,[status(thm)],[149,22,theory(equality)]) ).
cnf(158,negated_conjecture,
( p1(X1)
| p1(esk8_0)
| ~ r1(X2,X1)
| ~ r1(esk8_0,X2) ),
inference(cn,[status(thm)],[157,theory(equality)]) ).
cnf(159,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(esk8_0,X2) ),
inference(sr,[status(thm)],[158,21,theory(equality)]) ).
cnf(163,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1)
| ~ r1(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[159,20,theory(equality)]) ).
cnf(169,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1)
| $false ),
inference(rw,[status(thm)],[163,22,theory(equality)]) ).
cnf(170,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(183,negated_conjecture,
( p1(esk2_2(X1,esk7_1(esk8_0)))
| p1(X1)
| ~ r1(esk1_0,X1)
| ~ r1(X1,esk7_1(esk8_0)) ),
inference(spm,[status(thm)],[170,10,theory(equality)]) ).
cnf(205,negated_conjecture,
( p1(X1)
| ~ r1(X1,esk7_1(esk8_0))
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[183,9]) ).
cnf(206,negated_conjecture,
( p1(esk8_0)
| ~ r1(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[205,20,theory(equality)]) ).
cnf(207,negated_conjecture,
( p1(esk8_0)
| $false ),
inference(rw,[status(thm)],[206,22,theory(equality)]) ).
cnf(208,negated_conjecture,
p1(esk8_0),
inference(cn,[status(thm)],[207,theory(equality)]) ).
cnf(209,negated_conjecture,
$false,
inference(sr,[status(thm)],[208,21,theory(equality)]) ).
cnf(210,negated_conjecture,
$false,
209,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL638+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpBSldjv/sel_LCL638+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL638+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL638+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL638+1.001.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
%
%------------------------------------------------------------------------------