%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO172+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/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 : n018.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 06:13:59 PM UTC 2025
% Result : Theorem 7.79s 2.85s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 22 ~; 33 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
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(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff(parallel_lines,type,
parallel_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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_437,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& incident_point_and_line(Z,X)
& incident_point_and_line(Z,Y) )
=> equal_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_421,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_406,axiom,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).
tff(f_132,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_113,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_100,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_95,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_98,plain,
incident_point_and_line('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_108,plain,
! [X_93,Y_94] :
( ~ apart_point_and_line(X_93,Y_94)
| ~ incident_point_and_line(X_93,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_116,plain,
~ apart_point_and_line('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_98,c_108]) ).
tff(c_100,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_96,plain,
incident_point_and_line('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_115,plain,
~ apart_point_and_line('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_96,c_108]) ).
tff(c_143,plain,
! [X_113,Y_114] :
( equal_points(X_113,Y_114)
| distinct_points(X_113,Y_114) ),
inference(cnfTransformation,[status(thm)],[f_406]) ).
tff(c_94,plain,
~ equal_points('#skF_3',intersection_point('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_151,plain,
distinct_points('#skF_3',intersection_point('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_143,c_94]) ).
tff(c_180,plain,
! [X_135,Z_136,Y_137] :
( convergent_lines(X_135,Z_136)
| distinct_lines(Y_137,Z_136)
| ~ convergent_lines(X_135,Y_137) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_186,plain,
! [Z_136] :
( convergent_lines('#skF_1',Z_136)
| distinct_lines('#skF_2',Z_136) ),
inference(resolution,[status(thm)],[c_100,c_180]) ).
tff(c_3151,plain,
! [Y_367,V_368,U_369,X_370] :
( apart_point_and_line(Y_367,V_368)
| apart_point_and_line(Y_367,U_369)
| apart_point_and_line(X_370,V_368)
| apart_point_and_line(X_370,U_369)
| ~ distinct_lines(U_369,V_368)
| ~ distinct_points(X_370,Y_367) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3248,plain,
! [Y_377,Z_378,X_379] :
( apart_point_and_line(Y_377,Z_378)
| apart_point_and_line(Y_377,'#skF_2')
| apart_point_and_line(X_379,Z_378)
| apart_point_and_line(X_379,'#skF_2')
| ~ distinct_points(X_379,Y_377)
| convergent_lines('#skF_1',Z_378) ),
inference(resolution,[status(thm)],[c_186,c_3151]) ).
tff(c_3252,plain,
! [Z_378] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_378)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line('#skF_3',Z_378)
| apart_point_and_line('#skF_3','#skF_2')
| convergent_lines('#skF_1',Z_378) ),
inference(resolution,[status(thm)],[c_151,c_3248]) ).
tff(c_3256,plain,
! [Z_378] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_378)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line('#skF_3',Z_378)
| convergent_lines('#skF_1',Z_378) ),
inference(negUnitSimplification,[status(thm)],[c_115,c_3252]) ).
tff(c_3560,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_3256]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_3567,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3560,c_20]) ).
tff(c_3573,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_3567]) ).
tff(c_4640,plain,
! [Z_437] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_437)
| apart_point_and_line('#skF_3',Z_437)
| convergent_lines('#skF_1',Z_437) ),
inference(splitRight,[status(thm)],[c_3256]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_4663,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line('#skF_3','#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_4640,c_18]) ).
tff(c_4685,plain,
( apart_point_and_line('#skF_3','#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_4663]) ).
tff(c_4687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_116,c_4685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO172+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 19:53:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 7.79/2.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.79/2.86
% 7.79/2.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------