%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO218+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 06:14:19 PM UTC 2025
% Result : Theorem 5.05s 2.10s
% Output : CNFRefutation 5.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 22 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > 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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_201,negated_conjecture,
~ ! [L,M,N] :
( ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ unorthogonal_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_160,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
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_179,axiom,
! [L,M,N] :
( ( ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M) )
& ( ~ convergent_lines(L,N)
| ~ unorthogonal_lines(L,N) ) )
=> ( ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).
tff(c_46,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_50,plain,
! [L_42,M_43] :
( unorthogonal_lines(L_42,M_43)
| convergent_lines(L_42,M_43) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_44,plain,
~ unorthogonal_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_54,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_50,c_44]) ).
tff(c_65,plain,
! [Y_49,Z_50,X_51] :
( convergent_lines(Y_49,Z_50)
| convergent_lines(X_51,Z_50)
| ~ convergent_lines(X_51,Y_49) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_69,plain,
! [Z_52] :
( convergent_lines('#skF_3',Z_52)
| convergent_lines('#skF_1',Z_52) ),
inference(resolution,[status(thm)],[c_54,c_65]) ).
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_184,plain,
! [Z_74,Z_75] :
( convergent_lines(Z_74,Z_75)
| convergent_lines('#skF_3',Z_75)
| convergent_lines('#skF_1',Z_74) ),
inference(resolution,[status(thm)],[c_69,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_227,plain,
! [Z_79] :
( convergent_lines(Z_79,'#skF_3')
| convergent_lines('#skF_1',Z_79) ),
inference(resolution,[status(thm)],[c_184,c_6]) ).
tff(c_859,plain,
! [Z_118,Z_119] :
( convergent_lines(Z_118,Z_119)
| convergent_lines('#skF_1',Z_119)
| convergent_lines(Z_118,'#skF_3') ),
inference(resolution,[status(thm)],[c_227,c_12]) ).
tff(c_923,plain,
! [Z_121] :
( convergent_lines(Z_121,'#skF_2')
| convergent_lines(Z_121,'#skF_3') ),
inference(resolution,[status(thm)],[c_859,c_46]) ).
tff(c_940,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_923,c_6]) ).
tff(c_42,plain,
unorthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_1380,plain,
! [L_151,M_152,N_153] :
( convergent_lines(L_151,M_152)
| unorthogonal_lines(L_151,N_153)
| ~ unorthogonal_lines(M_152,N_153)
| ~ convergent_lines(M_152,N_153) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_1412,plain,
! [L_151] :
( convergent_lines(L_151,'#skF_2')
| unorthogonal_lines(L_151,'#skF_3')
| ~ convergent_lines('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_42,c_1380]) ).
tff(c_1431,plain,
! [L_154] :
( convergent_lines(L_154,'#skF_2')
| unorthogonal_lines(L_154,'#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_940,c_1412]) ).
tff(c_1438,plain,
convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1431,c_44]) ).
tff(c_1444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_1438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO218+2 : TPTP v9.0.0. Released v3.3.0.
% 0.02/0.07 % 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
% 0.07/0.26 % Computer : n006.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 7 19:59:08 EDT 2025
% 0.07/0.26 % CPUTime :
% 5.05/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.05/2.10
% 5.05/2.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------