TSTP Solution File: GEO255+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO255+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n017.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Apr 4 14:22:27 EDT 2016
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 20 unt; 0 def)
% Number of atoms : 215 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 227 ( 74 ~; 98 |; 48 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3] :
( before_on_line(X1,X2,X3)
<=> ( distinct_points(X2,X3)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',bf_def) ).
fof(3,axiom,
! [X2,X3] : ~ unequally_directed_lines(line_connecting(X2,X3),reverse_line(line_connecting(X3,X2))),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',oagco9) ).
fof(5,axiom,
! [X1,X4] :
( ( line(X1)
& line(X4) )
=> ( unequally_directed_lines(X1,X4)
| unequally_directed_lines(X1,reverse_line(X4)) ) ),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',oag8) ).
fof(6,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',oag5) ).
fof(7,axiom,
! [X1,X4,X5] :
( ( unequally_directed_lines(X1,X4)
& unequally_directed_lines(X1,reverse_line(X4)) )
=> ( ( unequally_directed_lines(X1,X5)
& unequally_directed_lines(X1,reverse_line(X5)) )
| ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',oag7) ).
fof(8,axiom,
! [X1,X4,X5] :
( unequally_directed_lines(X1,X4)
=> ( unequally_directed_lines(X1,X5)
| unequally_directed_lines(X4,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',oag6) ).
fof(12,conjecture,
! [X1,X2,X3] :
( ( line(X1)
& distinct_points(X2,X3) )
=> ~ ( before_on_line(X1,X2,X3)
& before_on_line(X1,X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1',con) ).
fof(13,negated_conjecture,
~ ! [X1,X2,X3] :
( ( line(X1)
& distinct_points(X2,X3) )
=> ~ ( before_on_line(X1,X2,X3)
& before_on_line(X1,X3,X2) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(14,plain,
! [X1,X2,X3] :
( before_on_line(X1,X2,X3)
<=> ( distinct_points(X2,X3)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(15,plain,
! [X2,X3] : ~ unequally_directed_lines(line_connecting(X2,X3),reverse_line(line_connecting(X3,X2))),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(16,plain,
! [X1] : ~ unequally_directed_lines(X1,X1),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(21,plain,
! [X1,X2,X3] :
( ( ~ before_on_line(X1,X2,X3)
| ( distinct_points(X2,X3)
& ~ left_apart_point(X2,X1)
& ~ left_apart_point(X2,reverse_line(X1))
& ~ left_apart_point(X3,X1)
& ~ left_apart_point(X3,reverse_line(X1))
& ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) )
& ( ~ distinct_points(X2,X3)
| left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1))
| unequally_directed_lines(X1,line_connecting(X2,X3))
| before_on_line(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(22,plain,
! [X4,X5,X6] :
( ( ~ before_on_line(X4,X5,X6)
| ( distinct_points(X5,X6)
& ~ left_apart_point(X5,X4)
& ~ left_apart_point(X5,reverse_line(X4))
& ~ left_apart_point(X6,X4)
& ~ left_apart_point(X6,reverse_line(X4))
& ~ unequally_directed_lines(X4,line_connecting(X5,X6)) ) )
& ( ~ distinct_points(X5,X6)
| left_apart_point(X5,X4)
| left_apart_point(X5,reverse_line(X4))
| left_apart_point(X6,X4)
| left_apart_point(X6,reverse_line(X4))
| unequally_directed_lines(X4,line_connecting(X5,X6))
| before_on_line(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X4,X5,X6] :
( ( distinct_points(X5,X6)
| ~ before_on_line(X4,X5,X6) )
& ( ~ left_apart_point(X5,X4)
| ~ before_on_line(X4,X5,X6) )
& ( ~ left_apart_point(X5,reverse_line(X4))
| ~ before_on_line(X4,X5,X6) )
& ( ~ left_apart_point(X6,X4)
| ~ before_on_line(X4,X5,X6) )
& ( ~ left_apart_point(X6,reverse_line(X4))
| ~ before_on_line(X4,X5,X6) )
& ( ~ unequally_directed_lines(X4,line_connecting(X5,X6))
| ~ before_on_line(X4,X5,X6) )
& ( ~ distinct_points(X5,X6)
| left_apart_point(X5,X4)
| left_apart_point(X5,reverse_line(X4))
| left_apart_point(X6,X4)
| left_apart_point(X6,reverse_line(X4))
| unequally_directed_lines(X4,line_connecting(X5,X6))
| before_on_line(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(25,plain,
( ~ before_on_line(X1,X2,X3)
| ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(31,plain,
! [X4,X5] : ~ unequally_directed_lines(line_connecting(X4,X5),reverse_line(line_connecting(X5,X4))),
inference(variable_rename,[status(thm)],[15]) ).
cnf(32,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[31]) ).
fof(36,plain,
! [X1,X4] :
( ~ line(X1)
| ~ line(X4)
| unequally_directed_lines(X1,X4)
| unequally_directed_lines(X1,reverse_line(X4)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(37,plain,
! [X5,X6] :
( ~ line(X5)
| ~ line(X6)
| unequally_directed_lines(X5,X6)
| unequally_directed_lines(X5,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(variable_rename,[status(thm)],[16]) ).
cnf(40,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X1,X4,X5] :
( ~ unequally_directed_lines(X1,X4)
| ~ unequally_directed_lines(X1,reverse_line(X4))
| ( unequally_directed_lines(X1,X5)
& unequally_directed_lines(X1,reverse_line(X5)) )
| ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(42,plain,
! [X6,X7,X8] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| ( unequally_directed_lines(X6,X8)
& unequally_directed_lines(X6,reverse_line(X8)) )
| ( unequally_directed_lines(X7,X8)
& unequally_directed_lines(X7,reverse_line(X8)) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X6,X7,X8] :
( ( unequally_directed_lines(X7,X8)
| unequally_directed_lines(X6,X8)
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_lines(X6,X8)
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,X8)
| unequally_directed_lines(X6,reverse_line(X8))
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_lines(X6,reverse_line(X8))
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) ) ),
inference(distribute,[status(thm)],[42]) ).
cnf(45,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(48,plain,
! [X1,X4,X5] :
( ~ unequally_directed_lines(X1,X4)
| unequally_directed_lines(X1,X5)
| unequally_directed_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(49,plain,
! [X6,X7,X8] :
( ~ unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,X8)
| unequally_directed_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(60,negated_conjecture,
? [X1,X2,X3] :
( line(X1)
& distinct_points(X2,X3)
& before_on_line(X1,X2,X3)
& before_on_line(X1,X3,X2) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(61,negated_conjecture,
? [X4,X5,X6] :
( line(X4)
& distinct_points(X5,X6)
& before_on_line(X4,X5,X6)
& before_on_line(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,negated_conjecture,
( line(esk1_0)
& distinct_points(esk2_0,esk3_0)
& before_on_line(esk1_0,esk2_0,esk3_0)
& before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[61]) ).
cnf(63,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(66,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(72,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk1_0))
| unequally_directed_lines(X1,esk1_0)
| ~ line(X1) ),
inference(spm,[status(thm)],[38,66,theory(equality)]) ).
cnf(104,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(esk1_0))
| unequally_directed_lines(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[72,66,theory(equality)]) ).
cnf(106,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(sr,[status(thm)],[104,40,theory(equality)]) ).
cnf(107,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[50,106,theory(equality)]) ).
cnf(112,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(esk1_0),X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[50,107,theory(equality)]) ).
cnf(435,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(X1,reverse_line(esk1_0)) ),
inference(spm,[status(thm)],[40,112,theory(equality)]) ).
cnf(439,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),line_connecting(X2,X3))
| unequally_directed_lines(esk1_0,X1)
| ~ before_on_line(X1,X2,X3) ),
inference(spm,[status(thm)],[25,112,theory(equality)]) ).
cnf(479,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(esk1_0,X1)
| ~ unequally_directed_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[45,435,theory(equality)]) ).
cnf(512,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk2_0,esk3_0))
| unequally_directed_lines(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[439,64,theory(equality)]) ).
cnf(513,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk3_0,esk2_0))
| unequally_directed_lines(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[439,63,theory(equality)]) ).
cnf(525,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk2_0,esk3_0)),
inference(sr,[status(thm)],[512,40,theory(equality)]) ).
cnf(526,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk3_0,esk2_0)),
inference(sr,[status(thm)],[513,40,theory(equality)]) ).
cnf(587,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk3_0),X1)
| unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[50,525,theory(equality)]) ).
cnf(627,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),reverse_line(line_connecting(esk3_0,esk2_0))),
inference(spm,[status(thm)],[32,587,theory(equality)]) ).
cnf(638,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
| unequally_directed_lines(line_connecting(esk3_0,esk2_0),X1)
| ~ unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[45,627,theory(equality)]) ).
cnf(640,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
| unequally_directed_lines(line_connecting(esk3_0,esk2_0),X1)
| $false ),
inference(rw,[status(thm)],[638,526,theory(equality)]) ).
cnf(641,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
| unequally_directed_lines(line_connecting(esk3_0,esk2_0),X1) ),
inference(cn,[status(thm)],[640,theory(equality)]) ).
cnf(670,negated_conjecture,
( unequally_directed_lines(line_connecting(esk3_0,esk2_0),reverse_line(X1))
| unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0))
| unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(reverse_line(esk1_0),reverse_line(esk1_0)) ),
inference(spm,[status(thm)],[479,641,theory(equality)]) ).
cnf(673,negated_conjecture,
( unequally_directed_lines(line_connecting(esk3_0,esk2_0),reverse_line(X1))
| unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0))
| unequally_directed_lines(esk1_0,X1) ),
inference(sr,[status(thm)],[670,40,theory(equality)]) ).
cnf(1379,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0))
| unequally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[32,673,theory(equality)]) ).
cnf(1385,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0))
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[25,1379,theory(equality)]) ).
cnf(1389,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[1385,63,theory(equality)]) ).
cnf(1390,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0)),
inference(cn,[status(thm)],[1389,theory(equality)]) ).
cnf(1391,negated_conjecture,
~ before_on_line(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[25,1390,theory(equality)]) ).
cnf(1399,negated_conjecture,
$false,
inference(rw,[status(thm)],[1391,64,theory(equality)]) ).
cnf(1400,negated_conjecture,
$false,
inference(cn,[status(thm)],[1399,theory(equality)]) ).
cnf(1401,negated_conjecture,
$false,
1400,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO255+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n017.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 16091.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Mon Apr 4 13:13:23 CDT 2016
% 0.03/0.22 % CPUTime :
% 0.03/0.26 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for [GEO007+0.ax]
% 0.06/0.39 -running prover on /export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.39 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp4KGosv/sel_theBenchmark.p_1']
% 0.06/0.39 -prover status Theorem
% 0.06/0.39 Problem theBenchmark.p solved in phase 0.
% 0.06/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 Solved 1 out of 1.
% 0.06/0.39 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.39 # SZS status Theorem
% 0.06/0.39 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.40 # SZS output end CNFRefutation
%------------------------------------------------------------------------------