%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO185+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : 300s
% DateTime : Wed Apr 9 06:14:05 PM UTC 2025
% Result : Theorem 4.00s 2.05s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 27 ( 13 ~; 8 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #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(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $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(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_144,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_points(X,intersection_point(U,V)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(X,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_98,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(c_34,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
( apart_point_and_line('#skF_1','#skF_4')
| apart_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_46,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_383,plain,
! [Z_76,X_77,Y_78] :
( ~ apart_point_and_line(Z_76,X_77)
| distinct_points(Z_76,intersection_point(X_77,Y_78))
| ~ convergent_lines(X_77,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_32,plain,
~ distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_388,plain,
( ~ apart_point_and_line('#skF_1','#skF_3')
| ~ convergent_lines('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_383,c_32]) ).
tff(c_397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_46,c_388]) ).
tff(c_398,plain,
apart_point_and_line('#skF_1','#skF_4'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_990,plain,
! [Z_137,Y_138,X_139] :
( ~ apart_point_and_line(Z_137,Y_138)
| distinct_points(Z_137,intersection_point(X_139,Y_138))
| ~ convergent_lines(X_139,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_995,plain,
( ~ apart_point_and_line('#skF_1','#skF_4')
| ~ convergent_lines('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_990,c_32]) ).
tff(c_1004,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_398,c_995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO185+2 : TPTP v9.0.0. Released v3.3.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 7 19:55:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 4.00/2.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/2.05
% 4.00/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------