%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO188+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 : n014.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 06:14:06 PM UTC 2025
% Result : Theorem 4.36s 1.99s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 12 ~; 13 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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 : 39 ( 39 !; 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_421,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_439,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& incident_point_and_line(Z,line_connecting(X,Y)) )
=> incident_point_and_line(X,line_connecting(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_126,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_73,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_58,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_188,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
tff(f_191,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
tff(c_110,plain,
! [X_93,Y_94] :
( incident_point_and_line(X_93,Y_94)
| apart_point_and_line(X_93,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_94,plain,
~ incident_point_and_line('#skF_1',line_connecting('#skF_3','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_114,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_2')),
inference(resolution,[status(thm)],[c_110,c_94]) ).
tff(c_294,plain,
! [X_159,Z_160,Y_161] :
( apart_point_and_line(X_159,Z_160)
| distinct_lines(Y_161,Z_160)
| ~ apart_point_and_line(X_159,Y_161) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_327,plain,
! [Z_164] :
( apart_point_and_line('#skF_1',Z_164)
| distinct_lines(line_connecting('#skF_3','#skF_2'),Z_164) ),
inference(resolution,[status(thm)],[c_114,c_294]) ).
tff(c_10,plain,
! [Y_8,Z_9,X_7] :
( distinct_lines(Y_8,Z_9)
| distinct_lines(X_7,Z_9)
| ~ distinct_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_645,plain,
! [Z_209,Z_210] :
( distinct_lines(Z_209,Z_210)
| distinct_lines(line_connecting('#skF_3','#skF_2'),Z_210)
| apart_point_and_line('#skF_1',Z_209) ),
inference(resolution,[status(thm)],[c_327,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_670,plain,
! [Z_211] :
( distinct_lines(Z_211,line_connecting('#skF_3','#skF_2'))
| apart_point_and_line('#skF_1',Z_211) ),
inference(resolution,[status(thm)],[c_645,c_4]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_684,plain,
! [Z_212] :
( convergent_lines(Z_212,line_connecting('#skF_3','#skF_2'))
| apart_point_and_line('#skF_1',Z_212) ),
inference(resolution,[status(thm)],[c_670,c_30]) ).
tff(c_32,plain,
! [Y_37,X_36] : ~ convergent_lines(parallel_through_point(Y_37,X_36),Y_37),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_705,plain,
! [X_213] : apart_point_and_line('#skF_1',parallel_through_point(line_connecting('#skF_3','#skF_2'),X_213)),
inference(resolution,[status(thm)],[c_684,c_32]) ).
tff(c_34,plain,
! [X_38,Y_39] : ~ apart_point_and_line(X_38,parallel_through_point(Y_39,X_38)),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_716,plain,
$false,
inference(resolution,[status(thm)],[c_705,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO188+3 : TPTP v9.0.0. Released v4.0.0.
% 0.02/0.12 % 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
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 19:55:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 4.36/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/2.00
% 4.36/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------