%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO261+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 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 : 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 Apr 9 06:14:32 PM UTC 2025
% Result : Theorem 4.00s 2.22s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 9 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_lines > left_convergent_lines > left_apart_point > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(distinct_points,type,
distinct_points: ( $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(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
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('#skF_4',type,
'#skF_4': $i ).
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(f_63,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',con_def) ).
tff(f_166,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
tff(f_156,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/GEO007+0.ax',oag9) ).
tff(f_287,negated_conjecture,
~ ! [L,M,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& ~ apart_point_and_line(B,M) )
=> divides_points(M,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(c_12,plain,
! [L_3,M_4] :
( unequally_directed_lines(L_3,M_4)
| ~ convergent_lines(L_3,M_4) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_172,plain,
! [L_100,M_101] :
( unequally_directed_lines(L_100,reverse_line(M_101))
| ~ convergent_lines(L_100,M_101) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_80,plain,
! [L_36,M_37] : ~ left_convergent_lines(L_36,M_37),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_74,plain,
! [L_32,M_33] :
( left_convergent_lines(L_32,reverse_line(M_33))
| left_convergent_lines(L_32,M_33)
| ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_132,plain,
! [L_32,M_33] :
( ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(negUnitSimplification,[status(thm)],[c_80,c_80,c_74]) ).
tff(c_188,plain,
! [L_103,M_104] :
( ~ unequally_directed_lines(L_103,M_104)
| ~ convergent_lines(L_103,M_104) ),
inference(resolution,[status(thm)],[c_172,c_132]) ).
tff(c_196,plain,
! [L_3,M_4] : ~ convergent_lines(L_3,M_4),
inference(resolution,[status(thm)],[c_12,c_188]) ).
tff(c_122,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GEO261+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 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
% 0.08/0.28 % Computer : n015.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Apr 7 20:04:05 EDT 2025
% 0.08/0.29 % CPUTime :
% 4.00/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.33/2.23
% 4.33/2.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------