%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO225+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 : n019.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 06:14:22 PM UTC 2025
% Result : Theorem 3.92s 2.01s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 8 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 20 !; 1 ?; 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_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_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_441,negated_conjecture,
~ ! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( incident_point_and_line(A,X)
& incident_point_and_line(B,X) ) ) ),
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_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(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(c_98,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_88,plain,
! [X_78,Y_79] :
( incident_point_and_line(X_78,Y_79)
| apart_point_and_line(X_78,Y_79) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_119,plain,
! [X_97,Y_98] :
( incident_point_and_line(X_97,Y_98)
| apart_point_and_line(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_96,plain,
! [X_83] :
( ~ incident_point_and_line('#skF_2',X_83)
| ~ incident_point_and_line('#skF_1',X_83) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_144,plain,
! [Y_111] :
( ~ incident_point_and_line('#skF_1',Y_111)
| apart_point_and_line('#skF_2',Y_111) ),
inference(resolution,[status(thm)],[c_119,c_96]) ).
tff(c_149,plain,
! [Y_79] :
( apart_point_and_line('#skF_2',Y_79)
| apart_point_and_line('#skF_1',Y_79) ),
inference(resolution,[status(thm)],[c_88,c_144]) ).
tff(c_198,plain,
! [Y_133,X_134] :
( ~ apart_point_and_line(Y_133,line_connecting(X_134,Y_133))
| ~ distinct_points(X_134,Y_133) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_218,plain,
! [X_142] :
( ~ distinct_points(X_142,'#skF_2')
| apart_point_and_line('#skF_1',line_connecting(X_142,'#skF_2')) ),
inference(resolution,[status(thm)],[c_149,c_198]) ).
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_222,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_218,c_14]) ).
tff(c_226,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO225+3 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % 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
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 20:00:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.92/2.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/2.02
% 3.92/2.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------