TSTP Solution File: GEO237+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO237+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n023.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 : Fri Apr 1 13:39:16 EDT 2016
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 64 ( 25 ~; 17 |; 17 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 38 ( 4 sgn 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X3] :
( apart_point_and_line(X1,X3)
<=> ( left_apart_point(X1,X3)
| left_apart_point(X1,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmpTL8W5O/sel_theBenchmark.p_1',apt_def) ).
fof(10,axiom,
! [X1,X3] :
~ ( left_apart_point(X1,X3)
| left_apart_point(X1,reverse_line(X3)) ),
file('/export/starexec/sandbox2/tmp/tmpTL8W5O/sel_theBenchmark.p_1',oag10) ).
fof(12,conjecture,
! [X1,X2,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X1,X2)
=> ( divides_points(X3,X1,X6)
| divides_points(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpTL8W5O/sel_theBenchmark.p_1',con) ).
fof(13,negated_conjecture,
~ ! [X1,X2,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X1,X2)
=> ( divides_points(X3,X1,X6)
| divides_points(X3,X2,X6) ) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(23,plain,
! [X1,X3] :
( ( ~ apart_point_and_line(X1,X3)
| left_apart_point(X1,X3)
| left_apart_point(X1,reverse_line(X3)) )
& ( ( ~ left_apart_point(X1,X3)
& ~ left_apart_point(X1,reverse_line(X3)) )
| apart_point_and_line(X1,X3) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(24,plain,
! [X4,X5] :
( ( ~ apart_point_and_line(X4,X5)
| left_apart_point(X4,X5)
| left_apart_point(X4,reverse_line(X5)) )
& ( ( ~ left_apart_point(X4,X5)
& ~ left_apart_point(X4,reverse_line(X5)) )
| apart_point_and_line(X4,X5) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,plain,
! [X4,X5] :
( ( ~ apart_point_and_line(X4,X5)
| left_apart_point(X4,X5)
| left_apart_point(X4,reverse_line(X5)) )
& ( ~ left_apart_point(X4,X5)
| apart_point_and_line(X4,X5) )
& ( ~ left_apart_point(X4,reverse_line(X5))
| apart_point_and_line(X4,X5) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(28,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(57,plain,
! [X1,X3] :
( ~ left_apart_point(X1,X3)
& ~ left_apart_point(X1,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(58,plain,
! [X4,X5] :
( ~ left_apart_point(X4,X5)
& ~ left_apart_point(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(60,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[58]) ).
fof(64,negated_conjecture,
? [X1,X2,X6,X3] :
( apart_point_and_line(X6,X3)
& divides_points(X3,X1,X2)
& ~ divides_points(X3,X1,X6)
& ~ divides_points(X3,X2,X6) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(65,negated_conjecture,
? [X7,X8,X9,X10] :
( apart_point_and_line(X9,X10)
& divides_points(X10,X7,X8)
& ~ divides_points(X10,X7,X9)
& ~ divides_points(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( apart_point_and_line(esk3_0,esk4_0)
& divides_points(esk4_0,esk1_0,esk2_0)
& ~ divides_points(esk4_0,esk1_0,esk3_0)
& ~ divides_points(esk4_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(70,negated_conjecture,
apart_point_and_line(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(72,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ apart_point_and_line(X1,X2) ),
inference(sr,[status(thm)],[28,60,theory(equality)]) ).
cnf(73,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[72,60,theory(equality)]) ).
cnf(74,negated_conjecture,
$false,
inference(sr,[status(thm)],[70,73,theory(equality)]) ).
cnf(75,negated_conjecture,
$false,
74,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO237+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n023.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 : Fri Apr 1 11:15:38 CDT 2016
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for [GEO007+0.ax]
% 0.06/0.35 -running prover on /export/starexec/sandbox2/tmp/tmpTL8W5O/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35 -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/tmpTL8W5O/sel_theBenchmark.p_1']
% 0.06/0.35 -prover status Theorem
% 0.06/0.35 Problem theBenchmark.p solved in phase 0.
% 0.06/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.36 Solved 1 out of 1.
% 0.06/0.36 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.36 # SZS status Theorem
% 0.06/0.36 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.36 # SZS output end CNFRefutation
%------------------------------------------------------------------------------