%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO230+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n008.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 14:22:26 EDT 2016
% Result : Theorem 183.67s
% Output : CNFRefutation 183.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 21 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 206 ( 76 ~; 110 |; 12 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 134 ( 17 sgn 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X5,X2,X3] :
( ( distinct_points(X1,X5)
& distinct_lines(X2,X3) )
=> ( left_apart_point(X1,X2)
| left_apart_point(X5,X2)
| left_apart_point(X1,X3)
| left_apart_point(X5,X3)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X5,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X5,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oaguc1) ).
fof(6,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oag9) ).
fof(8,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oag5) ).
fof(11,axiom,
! [X2,X3,X4] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X4)
| unequally_directed_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oag6) ).
fof(24,axiom,
! [X1,X5] : ~ unequally_directed_lines(line_connecting(X1,X5),reverse_line(line_connecting(X5,X1))),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oagco9) ).
fof(26,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oag11) ).
fof(27,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',oag10) ).
fof(28,conjecture,
! [X1,X5] :
( distinct_points(X1,X5)
=> ( ~ distinct_lines(line_connecting(X1,X5),line_connecting(X5,X1))
& ~ unequally_directed_lines(line_connecting(X5,X1),line_connecting(X1,X5)) ) ),
file('/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4',con) ).
fof(29,negated_conjecture,
~ ! [X1,X5] :
( distinct_points(X1,X5)
=> ( ~ distinct_lines(line_connecting(X1,X5),line_connecting(X5,X1))
& ~ unequally_directed_lines(line_connecting(X5,X1),line_connecting(X1,X5)) ) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(31,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(37,plain,
! [X1,X5] : ~ unequally_directed_lines(line_connecting(X1,X5),reverse_line(line_connecting(X5,X1))),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(39,negated_conjecture,
~ ! [X1,X5] :
( distinct_points(X1,X5)
=> ( ~ distinct_lines(line_connecting(X1,X5),line_connecting(X5,X1))
& ~ unequally_directed_lines(line_connecting(X5,X1),line_connecting(X1,X5)) ) ),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(51,plain,
! [X1,X5,X2,X3] :
( ~ distinct_points(X1,X5)
| ~ distinct_lines(X2,X3)
| left_apart_point(X1,X2)
| left_apart_point(X5,X2)
| left_apart_point(X1,X3)
| left_apart_point(X5,X3)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X5,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X5,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(52,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| left_apart_point(X6,X8)
| left_apart_point(X7,X8)
| left_apart_point(X6,X9)
| left_apart_point(X7,X9)
| left_apart_point(X6,reverse_line(X8))
| left_apart_point(X7,reverse_line(X8))
| left_apart_point(X6,reverse_line(X9))
| left_apart_point(X7,reverse_line(X9)) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(53,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,plain,
! [X2,X3] :
( ~ unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X2,reverse_line(X3))
| left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(55,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(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(60,plain,
! [X3] : ~ unequally_directed_lines(X3,X3),
inference(variable_rename,[status(thm)],[31]) ).
cnf(61,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[60]) ).
fof(72,plain,
! [X2,X3,X4] :
( ~ unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,X4)
| unequally_directed_lines(X3,X4) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(73,plain,
! [X5,X6,X7] :
( ~ unequally_directed_lines(X5,X6)
| unequally_directed_lines(X5,X7)
| unequally_directed_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[72]) ).
cnf(74,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[73]) ).
fof(115,plain,
! [X6,X7] : ~ unequally_directed_lines(line_connecting(X6,X7),reverse_line(line_connecting(X7,X6))),
inference(variable_rename,[status(thm)],[37]) ).
cnf(116,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[115]) ).
fof(119,plain,
! [X2,X3] :
( ~ left_convergent_lines(X2,X3)
& ~ left_convergent_lines(X2,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(120,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[119]) ).
cnf(122,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[120]) ).
fof(123,plain,
! [X1,X2] :
( ~ left_apart_point(X1,X2)
& ~ left_apart_point(X1,reverse_line(X2)) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(124,plain,
! [X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[123]) ).
cnf(126,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[124]) ).
fof(127,negated_conjecture,
? [X1,X5] :
( distinct_points(X1,X5)
& ( distinct_lines(line_connecting(X1,X5),line_connecting(X5,X1))
| unequally_directed_lines(line_connecting(X5,X1),line_connecting(X1,X5)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(128,negated_conjecture,
? [X6,X7] :
( distinct_points(X6,X7)
& ( distinct_lines(line_connecting(X6,X7),line_connecting(X7,X6))
| unequally_directed_lines(line_connecting(X7,X6),line_connecting(X6,X7)) ) ),
inference(variable_rename,[status(thm)],[127]) ).
fof(129,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& ( distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0))
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[128]) ).
cnf(130,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0))
| distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0)) ),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(131,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(152,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[56,122,theory(equality)]) ).
cnf(153,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[152,122,theory(equality)]) ).
cnf(161,plain,
( left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[53,126,theory(equality)]) ).
cnf(162,plain,
( left_apart_point(X1,X4)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[161,126,theory(equality)]) ).
cnf(163,plain,
( left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[162,126,theory(equality)]) ).
cnf(164,plain,
( left_apart_point(X3,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[163,126,theory(equality)]) ).
cnf(165,plain,
( left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[164,126,theory(equality)]) ).
cnf(166,plain,
( left_apart_point(X1,reverse_line(X4))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[165,126,theory(equality)]) ).
cnf(167,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[166,126,theory(equality)]) ).
cnf(168,plain,
( ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(sr,[status(thm)],[167,126,theory(equality)]) ).
fof(169,plain,
( ~ epred1_0
<=> ! [X1,X3] : ~ distinct_points(X3,X1) ),
introduced(definition),
[split] ).
cnf(170,plain,
( epred1_0
| ~ distinct_points(X3,X1) ),
inference(split_equiv,[status(thm)],[169]) ).
fof(171,plain,
( ~ epred2_0
<=> ! [X2,X4] : ~ distinct_lines(X4,X2) ),
introduced(definition),
[split] ).
cnf(172,plain,
( epred2_0
| ~ distinct_lines(X4,X2) ),
inference(split_equiv,[status(thm)],[171]) ).
cnf(173,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[168,169,theory(equality)]),171,theory(equality)]),
[split] ).
cnf(174,negated_conjecture,
epred1_0,
inference(spm,[status(thm)],[170,131,theory(equality)]) ).
cnf(181,plain,
( ~ epred2_0
| $false ),
inference(rw,[status(thm)],[173,174,theory(equality)]) ).
cnf(182,plain,
~ epred2_0,
inference(cn,[status(thm)],[181,theory(equality)]) ).
cnf(186,plain,
~ distinct_lines(X4,X2),
inference(sr,[status(thm)],[172,182,theory(equality)]) ).
cnf(187,negated_conjecture,
unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)),
inference(sr,[status(thm)],[130,186,theory(equality)]) ).
cnf(190,negated_conjecture,
( unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[74,187,theory(equality)]) ).
cnf(195,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(X1))
| ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[153,190,theory(equality)]) ).
cnf(518,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(X1))
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[195,190,theory(equality)]) ).
cnf(564,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X2)
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[74,518,theory(equality)]) ).
cnf(957,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X3)
| unequally_directed_lines(reverse_line(X3),X3) ),
inference(ef,[status(thm)],[564,theory(equality)]) ).
cnf(982,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[74,957,theory(equality)]) ).
cnf(1090,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
| unequally_directed_lines(X1,reverse_line(X1)) ),
inference(spm,[status(thm)],[61,982,theory(equality)]) ).
cnf(1099,negated_conjecture,
unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(X1,X1)),
inference(spm,[status(thm)],[116,1090,theory(equality)]) ).
cnf(1111,negated_conjecture,
( unequally_directed_lines(line_connecting(X1,X1),X2)
| unequally_directed_lines(line_connecting(esk2_0,esk1_0),X2) ),
inference(spm,[status(thm)],[74,1099,theory(equality)]) ).
cnf(1117,negated_conjecture,
unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(line_connecting(X1,X1))),
inference(spm,[status(thm)],[116,1111,theory(equality)]) ).
cnf(1218,negated_conjecture,
~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(X1,X1)),
inference(spm,[status(thm)],[153,1117,theory(equality)]) ).
cnf(1220,negated_conjecture,
$false,
inference(rw,[status(thm)],[1218,1099,theory(equality)]) ).
cnf(1221,negated_conjecture,
$false,
inference(cn,[status(thm)],[1220,theory(equality)]) ).
cnf(1222,negated_conjecture,
$false,
1221,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO230+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 : n008.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 : Mon Apr 4 13:13:23 CDT 2016
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for [GEO007+0.ax]
% 29.05/29.37 eprover: CPU time limit exceeded, terminating
% 109.25/112.76 eprover: CPU time limit exceeded, terminating
% 109.44/113.33 -running prover on /export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_1 with time limit 29
% 109.44/113.33 -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/tmpj66HkL/sel_theBenchmark.p_1']
% 109.44/113.33 -prover status ResourceOut
% 109.44/113.33 -running prover on /export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_2 with time limit 80
% 109.44/113.33 -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=80', '/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_2']
% 109.44/113.33 -prover status ResourceOut
% 109.44/113.33 --creating new selector for [GEO007+0.ax]
% 183.48/188.74 eprover: CPU time limit exceeded, terminating
% 183.58/189.10 -running prover on /export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_3 with time limit 74
% 183.58/189.10 -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=74', '/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_3']
% 183.58/189.10 -prover status ResourceOut
% 183.58/189.10 --creating new selector for [GEO007+0.ax]
% 183.67/189.24 -running prover on /export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4 with time limit 55
% 183.67/189.24 -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=55', '/export/starexec/sandbox2/tmp/tmpj66HkL/sel_theBenchmark.p_4']
% 183.67/189.24 -prover status Theorem
% 183.67/189.24 Problem theBenchmark.p solved in phase 3.
% 183.67/189.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 183.67/189.24 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 183.67/189.24 Solved 1 out of 1.
% 183.67/189.24 # Problem is unsatisfiable (or provable), constructing proof object
% 183.67/189.24 # SZS status Theorem
% 183.67/189.24 # SZS output start CNFRefutation.
% See solution above
% 183.67/189.25 # SZS output end CNFRefutation
%------------------------------------------------------------------------------