%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO184+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 : n013.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 10.39s 3.77s
% Output : CNFRefutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 20 |; 4 &)
% ( 2 <=>; 4 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 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 > #skF_4
%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('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_438,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& incident_point_and_line(X,U)
& incident_point_and_line(Y,U) )
=> equal_lines(U,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_420,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_410,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_112,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_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_102,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_98,plain,
incident_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_120,plain,
! [X_103,Y_104] :
( ~ apart_point_and_line(X_103,Y_104)
| ~ incident_point_and_line(X_103,Y_104) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_131,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_98,c_120]) ).
tff(c_96,plain,
incident_point_and_line('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_132,plain,
~ apart_point_and_line('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_120]) ).
tff(c_156,plain,
! [X_117,Y_118] :
( equal_lines(X_117,Y_118)
| distinct_lines(X_117,Y_118) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_94,plain,
~ equal_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_164,plain,
distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_156,c_94]) ).
tff(c_3459,plain,
! [Y_386,V_387,U_388,X_389] :
( apart_point_and_line(Y_386,V_387)
| apart_point_and_line(Y_386,U_388)
| apart_point_and_line(X_389,V_387)
| apart_point_and_line(X_389,U_388)
| ~ distinct_lines(U_388,V_387)
| ~ distinct_points(X_389,Y_386) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_4877,plain,
! [Y_453,X_454] :
( apart_point_and_line(Y_453,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(Y_453,'#skF_3')
| apart_point_and_line(X_454,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_454,'#skF_3')
| ~ distinct_points(X_454,Y_453) ),
inference(resolution,[status(thm)],[c_164,c_3459]) ).
tff(c_4903,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_102,c_4877]) ).
tff(c_4938,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_131,c_132,c_4903]) ).
tff(c_5299,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_4938]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_5306,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_5299,c_14]) ).
tff(c_5312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_5306]) ).
tff(c_5313,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_4938]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5321,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_5313,c_16]) ).
tff(c_5327,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_5321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO184+3 : TPTP v9.0.0. Released v4.0.0.
% 0.05/0.11 % 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
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 7 19:55:32 EDT 2025
% 0.10/0.32 % CPUTime :
% 10.39/3.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/3.78
% 10.39/3.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------