%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO180+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 : n004.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 06:14:03 PM UTC 2025
% Result : Theorem 15.15s 5.40s
% Output : CNFRefutation 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 20 ~; 56 |; 2 &)
% ( 0 <=>; 7 =>; 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_138,negated_conjecture,
~ ! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> apart_point_and_line(X,line_connecting(Z,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_91,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(f_125,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/GEO008+0.ax',ceq2) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_32,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_88,plain,
! [Z_54,Y_55,X_56] :
( distinct_points(Z_54,Y_55)
| ~ apart_point_and_line(Z_54,line_connecting(X_56,Y_55))
| ~ distinct_points(X_56,Y_55) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_94,plain,
( distinct_points('#skF_3','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_32,c_88]) ).
tff(c_100,plain,
distinct_points('#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_94]) ).
tff(c_48,plain,
! [X_39,Z_40,Y_41] :
( apart_point_and_line(X_39,Z_40)
| distinct_lines(Y_41,Z_40)
| ~ apart_point_and_line(X_39,Y_41) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_51,plain,
! [Z_40] :
( apart_point_and_line('#skF_3',Z_40)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_40) ),
inference(resolution,[status(thm)],[c_32,c_48]) ).
tff(c_1225,plain,
! [Y_119,V_120,U_121,X_122] :
( apart_point_and_line(Y_119,V_120)
| apart_point_and_line(Y_119,U_121)
| apart_point_and_line(X_122,V_120)
| apart_point_and_line(X_122,U_121)
| ~ distinct_lines(U_121,V_120)
| ~ distinct_points(X_122,Y_119) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_5951,plain,
! [Y_275,Z_276,X_277] :
( apart_point_and_line(Y_275,Z_276)
| apart_point_and_line(Y_275,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_277,Z_276)
| apart_point_and_line(X_277,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_277,Y_275)
| apart_point_and_line('#skF_3',Z_276) ),
inference(resolution,[status(thm)],[c_51,c_1225]) ).
tff(c_6602,plain,
! [Z_276] :
( apart_point_and_line('#skF_2',Z_276)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_276)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_276) ),
inference(resolution,[status(thm)],[c_34,c_5951]) ).
tff(c_6873,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6602]) ).
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_91]) ).
tff(c_6880,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_6873,c_16]) ).
tff(c_6892,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_6880]) ).
tff(c_6894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6892]) ).
tff(c_6895,plain,
! [Z_276] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_276)
| apart_point_and_line('#skF_1',Z_276)
| apart_point_and_line('#skF_3',Z_276) ),
inference(splitRight,[status(thm)],[c_6602]) ).
tff(c_7608,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6895]) ).
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_91]) ).
tff(c_7618,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_7608,c_14]) ).
tff(c_7630,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_7618]) ).
tff(c_7632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7630]) ).
tff(c_7645,plain,
! [Z_304] :
( apart_point_and_line('#skF_2',Z_304)
| apart_point_and_line('#skF_1',Z_304)
| apart_point_and_line('#skF_3',Z_304) ),
inference(splitRight,[status(thm)],[c_6895]) ).
tff(c_24,plain,
! [Z_25,Y_24,X_23] :
( apart_point_and_line(Z_25,Y_24)
| distinct_points(X_23,Z_25)
| ~ apart_point_and_line(X_23,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_7691,plain,
! [Z_305,Z_306] :
( apart_point_and_line(Z_305,Z_306)
| distinct_points('#skF_2',Z_305)
| apart_point_and_line('#skF_1',Z_306)
| apart_point_and_line('#skF_3',Z_306) ),
inference(resolution,[status(thm)],[c_7645,c_24]) ).
tff(c_23938,plain,
! [Z_777,Z_778,Z_779] :
( apart_point_and_line(Z_777,Z_778)
| distinct_points('#skF_3',Z_777)
| apart_point_and_line(Z_779,Z_778)
| distinct_points('#skF_2',Z_779)
| apart_point_and_line('#skF_1',Z_778) ),
inference(resolution,[status(thm)],[c_7691,c_24]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_24075,plain,
! [Z_777,Z_779] :
( apart_point_and_line(Z_777,line_connecting('#skF_3','#skF_2'))
| distinct_points('#skF_3',Z_777)
| apart_point_and_line(Z_779,line_connecting('#skF_3','#skF_2'))
| distinct_points('#skF_2',Z_779) ),
inference(resolution,[status(thm)],[c_23938,c_30]) ).
tff(c_24183,plain,
! [Z_784] :
( apart_point_and_line(Z_784,line_connecting('#skF_3','#skF_2'))
| distinct_points('#skF_2',Z_784) ),
inference(splitLeft,[status(thm)],[c_24075]) ).
tff(c_24201,plain,
! [Z_784] :
( distinct_points(Z_784,'#skF_2')
| ~ distinct_points('#skF_3','#skF_2')
| distinct_points('#skF_2',Z_784) ),
inference(resolution,[status(thm)],[c_24183,c_14]) ).
tff(c_24218,plain,
! [Z_784] :
( distinct_points(Z_784,'#skF_2')
| distinct_points('#skF_2',Z_784) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_24201]) ).
tff(c_24234,plain,
distinct_points('#skF_2','#skF_2'),
inference(factorization,[status(thm),theory(equality)],[c_24218]) ).
tff(c_24238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_24234]) ).
tff(c_24240,plain,
! [Z_785] :
( apart_point_and_line(Z_785,line_connecting('#skF_3','#skF_2'))
| distinct_points('#skF_3',Z_785) ),
inference(splitRight,[status(thm)],[c_24075]) ).
tff(c_24255,plain,
! [Z_785] :
( distinct_points(Z_785,'#skF_3')
| ~ distinct_points('#skF_3','#skF_2')
| distinct_points('#skF_3',Z_785) ),
inference(resolution,[status(thm)],[c_24240,c_16]) ).
tff(c_24272,plain,
! [Z_785] :
( distinct_points(Z_785,'#skF_3')
| distinct_points('#skF_3',Z_785) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_24255]) ).
tff(c_24291,plain,
distinct_points('#skF_3','#skF_3'),
inference(factorization,[status(thm),theory(equality)],[c_24272]) ).
tff(c_24295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_24291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 19:54:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 15.15/5.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.15/5.40
% 15.15/5.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------