%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO175+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n014.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 06:14:01 PM UTC 2025
% Result : Theorem 6.02s 2.47s
% Output : CNFRefutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 24 ~; 34 |; 3 &)
% ( 0 <=>; 6 =>; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%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('#skF_4',type,
'#skF_4': $i ).
tff(f_142,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& distinct_points(X,intersection_point(U,V)) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_82,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_64,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
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/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_99,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/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_1','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_49,plain,
! [Y_39,Z_40,X_41] :
( convergent_lines(Y_39,Z_40)
| convergent_lines(X_41,Z_40)
| ~ convergent_lines(X_41,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_53,plain,
! [Z_42] :
( convergent_lines('#skF_4',Z_42)
| convergent_lines('#skF_3',Z_42) ),
inference(resolution,[status(thm)],[c_36,c_49]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_61,plain,
convergent_lines('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_53,c_6]) ).
tff(c_34,plain,
distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_1409,plain,
! [Y_130,V_131,U_132,X_133] :
( apart_point_and_line(Y_130,V_131)
| apart_point_and_line(Y_130,U_132)
| apart_point_and_line(X_133,V_131)
| apart_point_and_line(X_133,U_132)
| ~ distinct_lines(U_132,V_131)
| ~ distinct_points(X_133,Y_130) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2362,plain,
! [Y_180,Y_181,X_182,X_183] :
( apart_point_and_line(Y_180,Y_181)
| apart_point_and_line(Y_180,X_182)
| apart_point_and_line(X_183,Y_181)
| apart_point_and_line(X_183,X_182)
| ~ distinct_points(X_183,Y_180)
| ~ convergent_lines(X_182,Y_181) ),
inference(resolution,[status(thm)],[c_28,c_1409]) ).
tff(c_3514,plain,
! [Y_220,X_221] :
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),Y_220)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),X_221)
| apart_point_and_line('#skF_1',Y_220)
| apart_point_and_line('#skF_1',X_221)
| ~ convergent_lines(X_221,Y_220) ),
inference(resolution,[status(thm)],[c_34,c_2362]) ).
tff(c_3578,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line('#skF_1','#skF_3')
| apart_point_and_line('#skF_1','#skF_4') ),
inference(resolution,[status(thm)],[c_61,c_3514]) ).
tff(c_3656,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_30,c_32,c_3578]) ).
tff(c_3765,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(splitLeft,[status(thm)],[c_3656]) ).
tff(c_207,plain,
! [Z_63,Y_64,X_65] :
( ~ apart_point_and_line(Z_63,Y_64)
| distinct_points(Z_63,intersection_point(X_65,Y_64))
| ~ convergent_lines(X_65,Y_64) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_215,plain,
! [X_65,Y_64] :
( ~ apart_point_and_line(intersection_point(X_65,Y_64),Y_64)
| ~ convergent_lines(X_65,Y_64) ),
inference(resolution,[status(thm)],[c_207,c_2]) ).
tff(c_3772,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_3765,c_215]) ).
tff(c_3782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_3772]) ).
tff(c_3783,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(splitRight,[status(thm)],[c_3656]) ).
tff(c_444,plain,
! [Z_80,X_81,Y_82] :
( ~ apart_point_and_line(Z_80,X_81)
| distinct_points(Z_80,intersection_point(X_81,Y_82))
| ~ convergent_lines(X_81,Y_82) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_452,plain,
! [X_81,Y_82] :
( ~ apart_point_and_line(intersection_point(X_81,Y_82),X_81)
| ~ convergent_lines(X_81,Y_82) ),
inference(resolution,[status(thm)],[c_444,c_2]) ).
tff(c_3791,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_3783,c_452]) ).
tff(c_3801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_3791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO175+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.33 % Computer : n014.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 19:54:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 6.02/2.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.02/2.48
% 6.02/2.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------