TSTP Solution File: GEO255+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO255+3 : TPTP v5.0.0. Released v4.0.0.
% 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 09:10:13 EST 2010
% Result : Theorem 0.74s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 14 unt; 0 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 158 ( 62 ~; 65 |; 25 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 3 sgn 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax9_cons_objs) ).
fof(9,axiom,
! [X4,X5,X6] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax6_basics) ).
fof(10,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) )
=> ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax9_basics) ).
fof(12,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax11_basics) ).
fof(17,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax8_basics) ).
fof(20,axiom,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',a4_defns) ).
fof(22,axiom,
! [X4,X1,X2] :
( before_on_line(X4,X1,X2)
<=> ( distinct_points(X1,X2)
& incident_point_and_line(X1,X4)
& incident_point_and_line(X2,X4)
& equally_directed_lines(X4,line_connecting(X1,X2)) ) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax4_defns) ).
fof(28,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',ax5_basics) ).
fof(32,conjecture,
! [X4,X1,X2] :
~ ( before_on_line(X4,X1,X2)
& before_on_line(X4,X2,X1) ),
file('/tmp/tmpM5It2Q/sel_GEO255+3.p_5',con) ).
fof(33,negated_conjecture,
~ ! [X4,X1,X2] :
~ ( before_on_line(X4,X1,X2)
& before_on_line(X4,X2,X1) ),
inference(assume_negation,[status(cth)],[32]) ).
fof(37,plain,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(70,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(71,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| equally_directed_lines(line_connecting(X3,X4),reverse_line(line_connecting(X4,X3))) ),
inference(variable_rename,[status(thm)],[70]) ).
cnf(72,plain,
( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(73,plain,
! [X4,X5,X6] :
( ~ unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(74,plain,
! [X7,X8,X9] :
( ~ unequally_directed_lines(X7,X8)
| unequally_directed_lines(X7,X9)
| unequally_directed_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(76,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(77,plain,
! [X6,X7] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| left_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(78,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(84,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(85,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[84]) ).
cnf(87,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[85]) ).
fof(100,plain,
! [X6,X7] :
( unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(101,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(109,plain,
! [X7,X8] :
( ( ~ equally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,X8) )
& ( unequally_directed_lines(X7,X8)
| equally_directed_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(110,plain,
! [X9,X10] :
( ( ~ equally_directed_lines(X9,X10)
| ~ unequally_directed_lines(X9,X10) )
& ( unequally_directed_lines(X9,X10)
| equally_directed_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[109]) ).
cnf(112,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(116,plain,
! [X4,X1,X2] :
( ( ~ before_on_line(X4,X1,X2)
| ( distinct_points(X1,X2)
& incident_point_and_line(X1,X4)
& incident_point_and_line(X2,X4)
& equally_directed_lines(X4,line_connecting(X1,X2)) ) )
& ( ~ distinct_points(X1,X2)
| ~ incident_point_and_line(X1,X4)
| ~ incident_point_and_line(X2,X4)
| ~ equally_directed_lines(X4,line_connecting(X1,X2))
| before_on_line(X4,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(117,plain,
! [X5,X6,X7] :
( ( ~ before_on_line(X5,X6,X7)
| ( distinct_points(X6,X7)
& incident_point_and_line(X6,X5)
& incident_point_and_line(X7,X5)
& equally_directed_lines(X5,line_connecting(X6,X7)) ) )
& ( ~ distinct_points(X6,X7)
| ~ incident_point_and_line(X6,X5)
| ~ incident_point_and_line(X7,X5)
| ~ equally_directed_lines(X5,line_connecting(X6,X7))
| before_on_line(X5,X6,X7) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X5,X6,X7] :
( ( distinct_points(X6,X7)
| ~ before_on_line(X5,X6,X7) )
& ( incident_point_and_line(X6,X5)
| ~ before_on_line(X5,X6,X7) )
& ( incident_point_and_line(X7,X5)
| ~ before_on_line(X5,X6,X7) )
& ( equally_directed_lines(X5,line_connecting(X6,X7))
| ~ before_on_line(X5,X6,X7) )
& ( ~ distinct_points(X6,X7)
| ~ incident_point_and_line(X6,X5)
| ~ incident_point_and_line(X7,X5)
| ~ equally_directed_lines(X5,line_connecting(X6,X7))
| before_on_line(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[117]) ).
cnf(120,plain,
( equally_directed_lines(X1,line_connecting(X2,X3))
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(123,plain,
( distinct_points(X2,X3)
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(139,plain,
! [X5] : equally_directed_lines(X5,X5),
inference(variable_rename,[status(thm)],[28]) ).
cnf(140,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[139]) ).
fof(153,negated_conjecture,
? [X4,X1,X2] :
( before_on_line(X4,X1,X2)
& before_on_line(X4,X2,X1) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(154,negated_conjecture,
? [X5,X6,X7] :
( before_on_line(X5,X6,X7)
& before_on_line(X5,X7,X6) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,negated_conjecture,
( before_on_line(esk1_0,esk2_0,esk3_0)
& before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[154]) ).
cnf(156,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(157,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(158,negated_conjecture,
distinct_points(esk2_0,esk3_0),
inference(spm,[status(thm)],[123,157,theory(equality)]) ).
cnf(164,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[112,140,theory(equality)]) ).
cnf(169,plain,
( ~ unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ before_on_line(X1,X2,X3) ),
inference(spm,[status(thm)],[112,120,theory(equality)]) ).
cnf(172,plain,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X3,X2)
| unequally_directed_lines(X3,X1) ),
inference(spm,[status(thm)],[75,101,theory(equality)]) ).
cnf(184,plain,
( ~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[112,72,theory(equality)]) ).
cnf(186,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[78,87,theory(equality)]) ).
cnf(187,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[186,87,theory(equality)]) ).
cnf(218,plain,
unequally_directed_lines(reverse_line(X1),X1),
inference(spm,[status(thm)],[164,101,theory(equality)]) ).
cnf(219,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(X1),X2) ),
inference(spm,[status(thm)],[75,218,theory(equality)]) ).
cnf(231,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(reverse_line(X1),X2) ),
inference(spm,[status(thm)],[187,219,theory(equality)]) ).
cnf(319,plain,
( unequally_directed_lines(reverse_line(line_connecting(X2,X3)),X4)
| unequally_directed_lines(X1,X4)
| ~ before_on_line(X1,X2,X3) ),
inference(spm,[status(thm)],[169,172,theory(equality)]) ).
cnf(3198,negated_conjecture,
( unequally_directed_lines(reverse_line(line_connecting(esk2_0,esk3_0)),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[319,157,theory(equality)]) ).
cnf(3199,negated_conjecture,
( unequally_directed_lines(reverse_line(line_connecting(esk3_0,esk2_0)),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[319,156,theory(equality)]) ).
cnf(3213,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk3_0),reverse_line(X1))
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[231,3198,theory(equality)]) ).
cnf(3439,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(line_connecting(esk3_0,esk2_0))),
inference(spm,[status(thm)],[164,3199,theory(equality)]) ).
cnf(3459,negated_conjecture,
~ unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0)),
inference(spm,[status(thm)],[187,3439,theory(equality)]) ).
cnf(3655,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0))
| ~ distinct_points(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[184,3213,theory(equality)]) ).
cnf(3663,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[3655,158,theory(equality)]) ).
cnf(3664,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0)),
inference(cn,[status(thm)],[3663,theory(equality)]) ).
cnf(3665,negated_conjecture,
$false,
inference(sr,[status(thm)],[3664,3459,theory(equality)]) ).
cnf(3666,negated_conjecture,
$false,
3665,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO255+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpM5It2Q/sel_GEO255+3.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmpM5It2Q/sel_GEO255+3.p_2 with time limit 89
% -prover status CounterSatisfiable
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpM5It2Q/sel_GEO255+3.p_3 with time limit 119
% -prover status CounterSatisfiable
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpM5It2Q/sel_GEO255+3.p_4 with time limit 149
% -prover status CounterSatisfiable
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpM5It2Q/sel_GEO255+3.p_5 with time limit 299
% -prover status Theorem
% Problem GEO255+3.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO255+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO255+3.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
%
%------------------------------------------------------------------------------