%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO242+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 04:09:03 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 4 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X3,X6,X4] :
( ( incident_point_and_line(X3,X4)
& distinct_points(X3,X6)
& right_convergent_lines(X4,line_connecting(X3,X6)) )
=> right_apart_point(X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(a3_defns,axiom,
! [X1,X2] :
( right_convergent_lines(X1,X2)
<=> left_convergent_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a3_defns) ).
fof(ax11_basics,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
fof(c_0_3,negated_conjecture,
~ ! [X3,X6,X4] :
( ( incident_point_and_line(X3,X4)
& distinct_points(X3,X6)
& right_convergent_lines(X4,line_connecting(X3,X6)) )
=> right_apart_point(X6,X4) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_4,plain,
! [X13,X14] :
( ( ~ right_convergent_lines(X13,X14)
| left_convergent_lines(X13,reverse_line(X14)) )
& ( ~ left_convergent_lines(X13,reverse_line(X14))
| right_convergent_lines(X13,X14) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a3_defns])]) ).
fof(c_0_5,plain,
! [X54,X55] :
( ~ left_convergent_lines(X54,X55)
& ~ left_convergent_lines(X54,reverse_line(X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11_basics])]) ).
fof(c_0_6,negated_conjecture,
( incident_point_and_line(esk1_0,esk3_0)
& distinct_points(esk1_0,esk2_0)
& right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0))
& ~ right_apart_point(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ right_convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
~ right_convergent_lines(X1,X2),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO242+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 10:16:09 EDT 2022
% 0.12/0.34 % 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
%------------------------------------------------------------------------------