%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO265+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 Apr 9 06:14:33 PM UTC 2025
% Result : Theorem 4.69s 2.34s
% Output : CNFRefutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 14 |; 1 &)
% ( 3 <=>; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(parallel_through_point,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff(equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(right_apart_point,type,
right_apart_point: ( $i * $i ) > $o ).
tff(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_286,negated_conjecture,
~ ! [L,M] :
( equally_directed_lines(L,reverse_line(M))
=> equally_directed_opposite_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
tff(f_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
tff(f_71,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
tff(f_53,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_173,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
tff(f_163,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
tff(c_134,plain,
~ equally_directed_opposite_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_136,plain,
equally_directed_lines('#skF_1',reverse_line('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_205,plain,
! [L_126,M_127] :
( unequally_directed_lines(L_126,reverse_line(M_127))
| unequally_directed_lines(L_126,M_127) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_14,plain,
! [X_7,Y_8] :
( ~ unequally_directed_lines(X_7,Y_8)
| ~ equally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_343,plain,
! [L_157,M_158] :
( ~ equally_directed_lines(L_157,reverse_line(M_158))
| unequally_directed_lines(L_157,M_158) ),
inference(resolution,[status(thm)],[c_205,c_14]) ).
tff(c_360,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_136,c_343]) ).
tff(c_20,plain,
! [X_9,Y_10] :
( equally_directed_opposite_lines(X_9,Y_10)
| unequally_directed_opposite_lines(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( unequally_directed_lines(X_1,reverse_line(Y_2))
| ~ unequally_directed_opposite_lines(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_96,plain,
! [L_46,M_47] : ~ left_convergent_lines(L_46,M_47),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_90,plain,
! [L_42,M_43] :
( left_convergent_lines(L_42,reverse_line(M_43))
| left_convergent_lines(L_42,M_43)
| ~ unequally_directed_lines(L_42,reverse_line(M_43))
| ~ unequally_directed_lines(L_42,M_43) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_252,plain,
! [L_141,M_142] :
( ~ unequally_directed_lines(L_141,reverse_line(M_142))
| ~ unequally_directed_lines(L_141,M_142) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_276,plain,
! [X_143,Y_144] :
( ~ unequally_directed_lines(X_143,Y_144)
| ~ unequally_directed_opposite_lines(X_143,Y_144) ),
inference(resolution,[status(thm)],[c_2,c_252]) ).
tff(c_287,plain,
! [X_9,Y_10] :
( ~ unequally_directed_lines(X_9,Y_10)
| equally_directed_opposite_lines(X_9,Y_10) ),
inference(resolution,[status(thm)],[c_20,c_276]) ).
tff(c_364,plain,
equally_directed_opposite_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_360,c_287]) ).
tff(c_371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134,c_364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO265+3 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.09 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 7 20:04:23 EDT 2025
% 0.09/0.29 % CPUTime :
% 4.69/2.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.69/2.35
% 4.69/2.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------