TSTP Solution File: GEO232+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO232+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 : n015.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 22:47:20 EDT 2023
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of formulae : 43 ( 10 unt; 23 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 9 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn; 18 !; 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 ).
fof(con,conjecture,
! [X4] : unequally_directed_opposite_lines(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(a4_defns,axiom,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(a1_defns,axiom,
! [X1,X2] :
( unequally_directed_opposite_lines(X1,X2)
<=> unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(ax5_basics,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(ax8_basics,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(c_0_5,negated_conjecture,
~ ! [X4] : unequally_directed_opposite_lines(X4,X4),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a4_defns]) ).
fof(c_0_7,negated_conjecture,
~ unequally_directed_opposite_lines(esk1_0,esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X9,X10] :
( ( ~ unequally_directed_opposite_lines(X9,X10)
| unequally_directed_lines(X9,reverse_line(X10)) )
& ( ~ unequally_directed_lines(X9,reverse_line(X10))
| unequally_directed_opposite_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_defns])]) ).
fof(c_0_9,plain,
! [X15,X16] :
( ( ~ equally_directed_lines(X15,X16)
| ~ unequally_directed_lines(X15,X16) )
& ( unequally_directed_lines(X15,X16)
| equally_directed_lines(X15,X16) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_10,plain,
! [X41] : equally_directed_lines(X41,X41),
inference(variable_rename,[status(thm)],[ax5_basics]) ).
cnf(c_0_11,negated_conjecture,
~ unequally_directed_opposite_lines(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X48,X49] :
( unequally_directed_lines(X48,X49)
| unequally_directed_lines(X48,reverse_line(X49)) ),
inference(variable_rename,[status(thm)],[ax8_basics]) ).
cnf(c_0_14,plain,
( ~ equally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35 % Computer : n015.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 20:34:56 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.60 % Total time : 0.009000 s
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time : 0.012000 s
%------------------------------------------------------------------------------