TSTP Solution File: GEO252+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : 300s
% DateTime : Wed Aug 30 22:47:29 EDT 2023
% Result : Theorem 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 33 ( 3 unt; 25 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 18 ( 7 ~; 2 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 22 >; 23 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
unequally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(decl_23,type,
reverse_line: $i > $i ).
tff(decl_24,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(decl_25,type,
right_apart_point: ( $i * $i ) > $o ).
tff(decl_26,type,
left_apart_point: ( $i * $i ) > $o ).
tff(decl_27,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(decl_28,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(decl_29,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff(decl_30,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(decl_31,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(decl_32,type,
convergent_lines: ( $i * $i ) > $o ).
tff(decl_33,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
distinct_points: ( $i * $i ) > $o ).
tff(decl_36,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(decl_37,type,
line_connecting: ( $i * $i ) > $i ).
tff(decl_38,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff(decl_39,type,
distinct_lines: ( $i * $i ) > $o ).
tff(decl_40,type,
point: $i > $o ).
tff(decl_41,type,
line: $i > $o ).
tff(decl_42,type,
intersection_point: ( $i * $i ) > $i ).
tff(decl_43,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(decl_44,type,
esk1_0: $i ).
tff(decl_45,type,
esk2_0: $i ).
tff(decl_46,type,
esk3_0: $i ).
fof(con,conjecture,
! [X3,X6,X4] :
( ( left_apart_point(X3,X4)
& right_apart_point(X6,X4) )
=> ( distinct_points(X3,X6)
& left_convergent_lines(line_connecting(X3,X6),X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
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(c_0_2,negated_conjecture,
~ ! [X3,X6,X4] :
( ( left_apart_point(X3,X4)
& right_apart_point(X6,X4) )
=> ( distinct_points(X3,X6)
& left_convergent_lines(line_connecting(X3,X6),X4) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,negated_conjecture,
( left_apart_point(esk1_0,esk3_0)
& right_apart_point(esk2_0,esk3_0)
& ( ~ distinct_points(esk1_0,esk2_0)
| ~ left_convergent_lines(line_connecting(esk1_0,esk2_0),esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,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])]) ).
cnf(c_0_5,negated_conjecture,
left_apart_point(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Wed Aug 30 00:11:47 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.11/0.45 start to proof: theBenchmark
% 0.11/0.46 % Version : CSE_E---1.5
% 0.11/0.46 % Problem : theBenchmark.p
% 0.11/0.46 % Proof found
% 0.11/0.46 % SZS status Theorem for theBenchmark.p
% 0.11/0.46 % SZS output start Proof
% See solution above
% 0.11/0.47 % Total time : 0.008000 s
% 0.11/0.47 % SZS output end Proof
% 0.11/0.47 % Total time : 0.010000 s
%------------------------------------------------------------------------------