TSTP Solution File: GEO238+3 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:09:01 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 57 ( 21 ~; 19 |; 13 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 34 ( 7 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_defns,axiom,
! [X1,X2] :
( right_apart_point(X1,X2)
<=> left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
fof(ax10_basics,axiom,
! [X3,X4] :
~ ( left_apart_point(X3,X4)
| left_apart_point(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(con,conjecture,
! [X3,X6,X7,X4] :
( ( divides_points(X4,X3,X6)
& divides_points(X4,X3,X7) )
=> ~ divides_points(X4,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(a8_defns,axiom,
! [X3,X6,X4] :
( divides_points(X4,X3,X6)
<=> ( ( left_apart_point(X3,X4)
& right_apart_point(X6,X4) )
| ( right_apart_point(X3,X4)
& left_apart_point(X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a8_defns) ).
fof(c_0_4,plain,
! [X11,X12] :
( ( ~ right_apart_point(X11,X12)
| left_apart_point(X11,reverse_line(X12)) )
& ( ~ left_apart_point(X11,reverse_line(X12))
| right_apart_point(X11,X12) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_defns])]) ).
fof(c_0_5,plain,
! [X52,X53] :
( ~ left_apart_point(X52,X53)
& ~ left_apart_point(X52,reverse_line(X53)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X3,X6,X7,X4] :
( ( divides_points(X4,X3,X6)
& divides_points(X4,X3,X7) )
=> ~ divides_points(X4,X6,X7) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X23,X24,X25] :
( ( right_apart_point(X23,X25)
| left_apart_point(X23,X25)
| ~ divides_points(X25,X23,X24) )
& ( left_apart_point(X24,X25)
| left_apart_point(X23,X25)
| ~ divides_points(X25,X23,X24) )
& ( right_apart_point(X23,X25)
| right_apart_point(X24,X25)
| ~ divides_points(X25,X23,X24) )
& ( left_apart_point(X24,X25)
| right_apart_point(X24,X25)
| ~ divides_points(X25,X23,X24) )
& ( ~ left_apart_point(X23,X25)
| ~ right_apart_point(X24,X25)
| divides_points(X25,X23,X24) )
& ( ~ right_apart_point(X23,X25)
| ~ left_apart_point(X24,X25)
| divides_points(X25,X23,X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a8_defns])])]) ).
cnf(c_0_8,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ right_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
( 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)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( right_apart_point(X1,X2)
| right_apart_point(X3,X2)
| ~ divides_points(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
divides_points(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
~ divides_points(X1,X2,X3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:09:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37
% 0.12/0.37 # Proof found!
% 0.12/0.37 # SZS status Theorem
% 0.12/0.37 # SZS output start CNFRefutation
% See solution above
% 0.12/0.37 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------