TSTP Solution File: GEO187+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO187+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 08:48:08 EST 2010
% Result : Theorem 113.66s
% Output : CNFRefutation 113.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 13 unt; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 220 ( 62 ~; 123 |; 25 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 61 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',cu1) ).
fof(4,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',ceq2) ).
fof(5,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',ceq1) ).
fof(6,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',ci2) ).
fof(7,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',ci1) ).
fof(8,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',apart1) ).
fof(13,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( ~ apart_point_and_line(X4,line_connecting(X1,X2))
& ~ apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
file('/tmp/tmpLXG1LO/sel_GEO187+1.p_3',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( ~ apart_point_and_line(X4,line_connecting(X1,X2))
& ~ apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(17,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(20,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( ~ apart_point_and_line(X4,line_connecting(X1,X2))
& ~ apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(24,plain,
! [X1,X2,X4,X5] :
( ~ distinct_points(X1,X2)
| ~ distinct_lines(X4,X5)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(25,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9)
| apart_point_and_line(X7,X8)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(30,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(34,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(37,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(40,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[17]) ).
cnf(43,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[42]) ).
fof(54,negated_conjecture,
? [X1,X2,X4,X5] :
( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5))
& ( apart_point_and_line(X4,line_connecting(X1,X2))
| apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,negated_conjecture,
? [X6,X7,X8,X9] :
( distinct_points(X6,X7)
& distinct_points(X8,X9)
& ~ apart_point_and_line(X6,line_connecting(X8,X9))
& ~ apart_point_and_line(X7,line_connecting(X8,X9))
& ( apart_point_and_line(X8,line_connecting(X6,X7))
| apart_point_and_line(X9,line_connecting(X6,X7)) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_points(esk3_0,esk4_0)
& ~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0))
& ~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
& ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
( apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(60,negated_conjecture,
distinct_points(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(61,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(65,negated_conjecture,
( apart_point_and_line(esk4_0,X1)
| distinct_lines(line_connecting(esk1_0,esk2_0),X1)
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[32,57,theory(equality)]) ).
cnf(134,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[26,65,theory(equality)]) ).
cnf(605,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[134,61,theory(equality)]) ).
cnf(6529,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk4_0,X1)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[41,605,theory(equality)]) ).
cnf(6533,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk4_0,X1)
| $false ),
inference(rw,[status(thm)],[6529,61,theory(equality)]) ).
cnf(6534,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk4_0,X1) ),
inference(cn,[status(thm)],[6533,theory(equality)]) ).
cnf(13757,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[59,6534,theory(equality)]) ).
cnf(13764,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[13757,58,theory(equality)]) ).
cnf(13766,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[38,13764,theory(equality)]) ).
cnf(13768,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[13766,60,theory(equality)]) ).
cnf(13769,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[13768,theory(equality)]) ).
cnf(13770,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[35,13769,theory(equality)]) ).
cnf(13853,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[38,13770,theory(equality)]) ).
cnf(13857,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[13853,61,theory(equality)]) ).
cnf(13858,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(cn,[status(thm)],[13857,theory(equality)]) ).
cnf(14146,negated_conjecture,
( apart_point_and_line(X1,X2)
| distinct_lines(line_connecting(esk1_0,esk2_0),X2)
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[32,13858,theory(equality)]) ).
cnf(14743,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X4,X2)
| distinct_points(esk3_0,X4)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[26,14146,theory(equality)]) ).
cnf(48904,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,X2)
| apart_point_and_line(esk1_0,X2)
| apart_point_and_line(esk2_0,X2)
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[14743,61,theory(equality)]) ).
cnf(50853,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(esk3_0,X2)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[41,48904,theory(equality)]) ).
cnf(50864,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(esk3_0,X2)
| $false ),
inference(rw,[status(thm)],[50853,61,theory(equality)]) ).
cnf(50865,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(esk3_0,X2) ),
inference(cn,[status(thm)],[50864,theory(equality)]) ).
cnf(51213,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(X1,line_connecting(esk3_0,esk4_0))
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[59,50865,theory(equality)]) ).
cnf(51229,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,line_connecting(esk3_0,esk4_0))
| distinct_points(esk3_0,X1) ),
inference(sr,[status(thm)],[51213,58,theory(equality)]) ).
cnf(51238,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0)
| ~ distinct_points(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[41,51229,theory(equality)]) ).
cnf(51247,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[51238,60,theory(equality)]) ).
cnf(51248,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0) ),
inference(cn,[status(thm)],[51247,theory(equality)]) ).
cnf(51249,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(sr,[status(thm)],[51248,43,theory(equality)]) ).
cnf(51251,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[38,51249,theory(equality)]) ).
cnf(51256,negated_conjecture,
$false,
inference(rw,[status(thm)],[51251,61,theory(equality)]) ).
cnf(51257,negated_conjecture,
$false,
inference(cn,[status(thm)],[51256,theory(equality)]) ).
cnf(51258,negated_conjecture,
$false,
51257,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO187+1.p
% --creating new selector for [GEO006+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpLXG1LO/sel_GEO187+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpLXG1LO/sel_GEO187+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpLXG1LO/sel_GEO187+1.p_3 with time limit 75
% -prover status Theorem
% Problem GEO187+1.p solved in phase 2.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO187+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO187+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
%
%------------------------------------------------------------------------------