%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO226+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 : n029.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 4.37s 2.11s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 21 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 37 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ 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(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('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_202,negated_conjecture,
~ ! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> ? [X] :
( point(X)
=> ( ~ apart_point_and_line(X,L)
& ~ apart_point_and_line(X,M) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_81,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_63,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_98,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_57,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_42,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_81,plain,
! [Y_66,Z_67,X_68] :
( convergent_lines(Y_66,Z_67)
| convergent_lines(X_68,Z_67)
| ~ convergent_lines(X_68,Y_66) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_85,plain,
! [Z_69] :
( convergent_lines('#skF_2',Z_69)
| convergent_lines('#skF_1',Z_69) ),
inference(resolution,[status(thm)],[c_42,c_81]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_187,plain,
! [Z_81,Z_82] :
( convergent_lines(Z_81,Z_82)
| convergent_lines('#skF_2',Z_82)
| convergent_lines('#skF_1',Z_81) ),
inference(resolution,[status(thm)],[c_85,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_218,plain,
! [Z_83] :
( convergent_lines(Z_83,'#skF_2')
| convergent_lines('#skF_1',Z_83) ),
inference(resolution,[status(thm)],[c_187,c_6]) ).
tff(c_422,plain,
! [Z_92,Z_93] :
( convergent_lines(Z_92,Z_93)
| convergent_lines('#skF_1',Z_93)
| convergent_lines(Z_92,'#skF_2') ),
inference(resolution,[status(thm)],[c_218,c_12]) ).
tff(c_465,plain,
! [Z_97] :
( convergent_lines(Z_97,'#skF_1')
| convergent_lines(Z_97,'#skF_2') ),
inference(resolution,[status(thm)],[c_422,c_6]) ).
tff(c_476,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_465,c_6]) ).
tff(c_40,plain,
! [X_40] :
( apart_point_and_line(X_40,'#skF_2')
| apart_point_and_line(X_40,'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_456,plain,
! [Z_94,X_95,Y_96] :
( ~ apart_point_and_line(Z_94,X_95)
| distinct_points(Z_94,intersection_point(X_95,Y_96))
| ~ convergent_lines(X_95,Y_96) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_483,plain,
! [X_98,Y_99] :
( ~ apart_point_and_line(intersection_point(X_98,Y_99),X_98)
| ~ convergent_lines(X_98,Y_99) ),
inference(resolution,[status(thm)],[c_456,c_2]) ).
tff(c_498,plain,
! [Y_99] :
( ~ convergent_lines('#skF_2',Y_99)
| apart_point_and_line(intersection_point('#skF_2',Y_99),'#skF_1') ),
inference(resolution,[status(thm)],[c_40,c_483]) ).
tff(c_892,plain,
! [Z_124,Y_125,X_126] :
( ~ apart_point_and_line(Z_124,Y_125)
| distinct_points(Z_124,intersection_point(X_126,Y_125))
| ~ convergent_lines(X_126,Y_125) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_911,plain,
! [X_128,Y_129] :
( ~ apart_point_and_line(intersection_point(X_128,Y_129),Y_129)
| ~ convergent_lines(X_128,Y_129) ),
inference(resolution,[status(thm)],[c_892,c_2]) ).
tff(c_919,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_498,c_911]) ).
tff(c_936,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_476,c_919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO226+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
% 0.12/0.34 % Computer : n029.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 20:00:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.37/2.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.47/2.11
% 4.47/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------