%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO200+2 : 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 : n006.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 06:14:12 PM UTC 2025
% Result : Theorem 5.28s 2.19s
% Output : CNFRefutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 17 ~; 38 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(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_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_57,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_136,negated_conjecture,
~ ! [X,Y] :
( distinct_points(X,Y)
=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_69,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
tff(f_111,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/GEO008+0.ax',cu1) ).
tff(f_90,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_32,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_52,plain,
! [Y_48,Z_49,X_50] :
( distinct_points(Y_48,Z_49)
| distinct_points(X_50,Z_49)
| ~ distinct_points(X_50,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_56,plain,
! [Z_51] :
( distinct_points('#skF_2',Z_51)
| distinct_points('#skF_1',Z_51) ),
inference(resolution,[status(thm)],[c_32,c_52]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_85,plain,
! [Z_55,Z_56] :
( distinct_points(Z_55,Z_56)
| distinct_points('#skF_2',Z_56)
| distinct_points('#skF_1',Z_55) ),
inference(resolution,[status(thm)],[c_56,c_8]) ).
tff(c_107,plain,
! [Z_57] :
( distinct_points(Z_57,'#skF_2')
| distinct_points('#skF_1',Z_57) ),
inference(resolution,[status(thm)],[c_85,c_2]) ).
tff(c_180,plain,
! [Z_63,Z_64] :
( distinct_points(Z_63,Z_64)
| distinct_points('#skF_1',Z_64)
| distinct_points(Z_63,'#skF_2') ),
inference(resolution,[status(thm)],[c_107,c_8]) ).
tff(c_205,plain,
! [Z_65] :
( distinct_points(Z_65,'#skF_1')
| distinct_points(Z_65,'#skF_2') ),
inference(resolution,[status(thm)],[c_180,c_2]) ).
tff(c_213,plain,
distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_205,c_2]) ).
tff(c_30,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_793,plain,
! [Y_99,V_100,U_101,X_102] :
( apart_point_and_line(Y_99,V_100)
| apart_point_and_line(Y_99,U_101)
| apart_point_and_line(X_102,V_100)
| apart_point_and_line(X_102,U_101)
| ~ distinct_lines(U_101,V_100)
| ~ distinct_points(X_102,Y_99) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_1002,plain,
! [Y_108,X_109] :
( apart_point_and_line(Y_108,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(Y_108,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_109,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(X_109,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_109,Y_108) ),
inference(resolution,[status(thm)],[c_30,c_793]) ).
tff(c_1125,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_32,c_1002]) ).
tff(c_1842,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1125]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_1850,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_1842,c_16]) ).
tff(c_1861,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1850]) ).
tff(c_1863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1861]) ).
tff(c_1864,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_1125]) ).
tff(c_2499,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_1864]) ).
tff(c_2509,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_2499,c_16]) ).
tff(c_2521,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_213,c_2509]) ).
tff(c_2523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2521]) ).
tff(c_2524,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_1864]) ).
tff(c_2526,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_2524]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_2533,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_2526,c_14]) ).
tff(c_2545,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_213,c_2533]) ).
tff(c_2547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2545]) ).
tff(c_2548,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_2524]) ).
tff(c_2556,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_2548,c_14]) ).
tff(c_2568,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_2556]) ).
tff(c_2570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO200+2 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 19:57:08 EDT 2025
% 0.14/0.34 % CPUTime :
% 5.28/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.28/2.20
% 5.28/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------