%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO173+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 : 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 06:14:00 PM UTC 2025
% Result : Theorem 5.21s 2.24s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 14 ~; 23 |; 4 &)
% ( 0 <=>; 4 =>; 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 : 25 ( 25 !; 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_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_142,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& distinct_lines(U,line_connecting(X,Y)) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
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_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/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
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_30,plain,
~ apart_point_and_line('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_34,plain,
distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_1438,plain,
! [Y_131,V_132,U_133,X_134] :
( apart_point_and_line(Y_131,V_132)
| apart_point_and_line(Y_131,U_133)
| apart_point_and_line(X_134,V_132)
| apart_point_and_line(X_134,U_133)
| ~ distinct_lines(U_133,V_132)
| ~ distinct_points(X_134,Y_131) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1631,plain,
! [Y_139,X_140] :
( apart_point_and_line(Y_139,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(Y_139,'#skF_3')
| apart_point_and_line(X_140,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_140,'#skF_3')
| ~ distinct_points(X_140,Y_139) ),
inference(resolution,[status(thm)],[c_34,c_1438]) ).
tff(c_1697,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_38,c_1631]) ).
tff(c_1774,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_32,c_30,c_1697]) ).
tff(c_2061,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1774]) ).
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_2066,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_2061,c_16]) ).
tff(c_2077,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2066]) ).
tff(c_2079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2077]) ).
tff(c_2080,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_1774]) ).
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_2089,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_2080,c_14]) ).
tff(c_2100,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2089]) ).
tff(c_2102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO173+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n004.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 19:53:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.21/2.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.21/2.24
% 5.21/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------