TSTP Solution File: GEO263+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO263+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n026.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 13:39:18 EDT 2016
% Result : Theorem 183.60s
% Output : CNFRefutation 183.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 91 ( 33 ~; 26 |; 28 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 2 sgn 32 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X4] :
( ( unequally_directed_lines(X1,X4)
& unequally_directed_lines(X1,reverse_line(X4)) )
=> ( left_convergent_lines(X1,X4)
| left_convergent_lines(X1,reverse_line(X4)) ) ),
file('/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4',oag9) ).
fof(14,axiom,
! [X1,X4] :
( convergent_lines(X1,X4)
<=> ( unequally_directed_lines(X1,X4)
& unequally_directed_lines(X1,reverse_line(X4)) ) ),
file('/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4',con_def) ).
fof(24,axiom,
! [X1,X4] :
~ ( left_convergent_lines(X1,X4)
| left_convergent_lines(X1,reverse_line(X4)) ),
file('/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4',oag11) ).
fof(26,conjecture,
! [X1,X4,X5,X2,X3,X6] :
( ( between_on_line(X1,X2,X3,X6)
& convergent_lines(X1,X4)
& convergent_lines(X1,X5)
& convergent_lines(X4,X5) )
=> between_on_line(X4,intersection_point(X4,parallel_through_point(X5,X2)),intersection_point(X4,parallel_through_point(X5,X3)),intersection_point(X4,parallel_through_point(X5,X6))) ),
file('/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4',con) ).
fof(27,negated_conjecture,
~ ! [X1,X4,X5,X2,X3,X6] :
( ( between_on_line(X1,X2,X3,X6)
& convergent_lines(X1,X4)
& convergent_lines(X1,X5)
& convergent_lines(X4,X5) )
=> between_on_line(X4,intersection_point(X4,parallel_through_point(X5,X2)),intersection_point(X4,parallel_through_point(X5,X3)),intersection_point(X4,parallel_through_point(X5,X6))) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(54,plain,
! [X1,X4] :
( ~ unequally_directed_lines(X1,X4)
| ~ unequally_directed_lines(X1,reverse_line(X4))
| left_convergent_lines(X1,X4)
| left_convergent_lines(X1,reverse_line(X4)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(55,plain,
! [X5,X6] :
( ~ unequally_directed_lines(X5,X6)
| ~ unequally_directed_lines(X5,reverse_line(X6))
| left_convergent_lines(X5,X6)
| left_convergent_lines(X5,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[54]) ).
cnf(56,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)],[55]) ).
fof(86,plain,
! [X1,X4] :
( ( ~ convergent_lines(X1,X4)
| ( unequally_directed_lines(X1,X4)
& unequally_directed_lines(X1,reverse_line(X4)) ) )
& ( ~ unequally_directed_lines(X1,X4)
| ~ unequally_directed_lines(X1,reverse_line(X4))
| convergent_lines(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(87,plain,
! [X5,X6] :
( ( ~ convergent_lines(X5,X6)
| ( unequally_directed_lines(X5,X6)
& unequally_directed_lines(X5,reverse_line(X6)) ) )
& ( ~ unequally_directed_lines(X5,X6)
| ~ unequally_directed_lines(X5,reverse_line(X6))
| convergent_lines(X5,X6) ) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,plain,
! [X5,X6] :
( ( unequally_directed_lines(X5,X6)
| ~ convergent_lines(X5,X6) )
& ( unequally_directed_lines(X5,reverse_line(X6))
| ~ convergent_lines(X5,X6) )
& ( ~ unequally_directed_lines(X5,X6)
| ~ unequally_directed_lines(X5,reverse_line(X6))
| convergent_lines(X5,X6) ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(90,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(91,plain,
( unequally_directed_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(127,plain,
! [X1,X4] :
( ~ left_convergent_lines(X1,X4)
& ~ left_convergent_lines(X1,reverse_line(X4)) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(128,plain,
! [X5,X6] :
( ~ left_convergent_lines(X5,X6)
& ~ left_convergent_lines(X5,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(130,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[128]) ).
fof(135,negated_conjecture,
? [X1,X4,X5,X2,X3,X6] :
( between_on_line(X1,X2,X3,X6)
& convergent_lines(X1,X4)
& convergent_lines(X1,X5)
& convergent_lines(X4,X5)
& ~ between_on_line(X4,intersection_point(X4,parallel_through_point(X5,X2)),intersection_point(X4,parallel_through_point(X5,X3)),intersection_point(X4,parallel_through_point(X5,X6))) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(136,negated_conjecture,
? [X7,X8,X9,X10,X11,X12] :
( between_on_line(X7,X10,X11,X12)
& convergent_lines(X7,X8)
& convergent_lines(X7,X9)
& convergent_lines(X8,X9)
& ~ between_on_line(X8,intersection_point(X8,parallel_through_point(X9,X10)),intersection_point(X8,parallel_through_point(X9,X11)),intersection_point(X8,parallel_through_point(X9,X12))) ),
inference(variable_rename,[status(thm)],[135]) ).
fof(137,negated_conjecture,
( between_on_line(esk1_0,esk4_0,esk5_0,esk6_0)
& convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& convergent_lines(esk2_0,esk3_0)
& ~ between_on_line(esk2_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk4_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk5_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk6_0))) ),
inference(skolemize,[status(esa)],[136]) ).
cnf(141,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(143,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[91,141,theory(equality)]) ).
cnf(146,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(spm,[status(thm)],[90,141,theory(equality)]) ).
cnf(175,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[56,130,theory(equality)]) ).
cnf(176,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[175,130,theory(equality)]) ).
cnf(195,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[176,146,theory(equality)]) ).
cnf(196,negated_conjecture,
$false,
inference(rw,[status(thm)],[195,143,theory(equality)]) ).
cnf(197,negated_conjecture,
$false,
inference(cn,[status(thm)],[196,theory(equality)]) ).
cnf(198,negated_conjecture,
$false,
197,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO263+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n026.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 16091.75MB
% 0.02/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Apr 1 11:33:37 CDT 2016
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for [GEO007+0.ax]
% 29.02/29.39 eprover: CPU time limit exceeded, terminating
% 109.29/112.13 eprover: CPU time limit exceeded, terminating
% 109.37/112.81 -running prover on /export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_1 with time limit 29
% 109.37/112.81 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_1']
% 109.37/112.81 -prover status ResourceOut
% 109.37/112.81 -running prover on /export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_2 with time limit 80
% 109.37/112.81 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=80', '/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_2']
% 109.37/112.81 -prover status ResourceOut
% 109.37/112.81 --creating new selector for [GEO007+0.ax]
% 183.44/187.79 eprover: CPU time limit exceeded, terminating
% 183.60/188.52 -running prover on /export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_3 with time limit 74
% 183.60/188.52 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=74', '/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_3']
% 183.60/188.52 -prover status ResourceOut
% 183.60/188.52 --creating new selector for [GEO007+0.ax]
% 183.60/188.59 -running prover on /export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4 with time limit 55
% 183.60/188.59 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=55', '/export/starexec/sandbox/tmp/tmpJ0u8YJ/sel_theBenchmark.p_4']
% 183.60/188.59 -prover status Theorem
% 183.60/188.59 Problem theBenchmark.p solved in phase 3.
% 183.60/188.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 183.60/188.59 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 183.60/188.59 Solved 1 out of 1.
% 183.60/188.59 # Problem is unsatisfiable (or provable), constructing proof object
% 183.60/188.59 # SZS status Theorem
% 183.60/188.59 # SZS output start CNFRefutation.
% See solution above
% 183.78/188.60 # SZS output end CNFRefutation
%------------------------------------------------------------------------------