%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO203+1 : 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/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 : n027.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 06:14:13 PM UTC 2025
% Result : Theorem 4.85s 2.15s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 18 ~; 21 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(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(f_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(X,Z)
& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_85,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_95,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(f_90,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_32,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_36,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_34,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
distinct_lines(line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_168,plain,
! [Y_72,V_73,U_74,X_75] :
( apart_point_and_line(Y_72,V_73)
| apart_point_and_line(Y_72,U_74)
| apart_point_and_line(X_75,V_73)
| apart_point_and_line(X_75,U_74)
| ~ distinct_lines(U_74,V_73)
| ~ distinct_points(X_75,Y_72) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_410,plain,
! [Y_87,X_88] :
( apart_point_and_line(Y_87,'#skF_1')
| apart_point_and_line(Y_87,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(X_88,'#skF_1')
| apart_point_and_line(X_88,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| ~ distinct_points(X_88,Y_87) ),
inference(resolution,[status(thm)],[c_30,c_168]) ).
tff(c_419,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))) ),
inference(resolution,[status(thm)],[c_32,c_410]) ).
tff(c_553,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitLeft,[status(thm)],[c_419]) ).
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_85]) ).
tff(c_689,plain,
~ distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_553,c_14]) ).
tff(c_695,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_689]) ).
tff(c_696,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_419]) ).
tff(c_1587,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_696]) ).
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_1600,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_1587,c_18]) ).
tff(c_1606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1600]) ).
tff(c_1607,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_696]) ).
tff(c_1653,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_1607]) ).
tff(c_1660,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1653,c_18]) ).
tff(c_1666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_1660]) ).
tff(c_1667,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitRight,[status(thm)],[c_1607]) ).
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_90]) ).
tff(c_1811,plain,
~ distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_1667,c_16]) ).
tff(c_1817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO203+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.13 % 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
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 19:57:36 EDT 2025
% 0.12/0.33 % CPUTime :
% 4.85/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.85/2.15
% 4.85/2.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------