%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO204+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 : n016.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 06:14:13 PM UTC 2025
% Result : Theorem 6.28s 2.57s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 20 ~; 31 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 31 ( 31 !; 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/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_142,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ distinct_points(Y,Z) )
=> ( distinct_points(X,Z)
& ~ distinct_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_70,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
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_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_30,plain,
( distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3'))
| ~ distinct_points('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_66,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_48,plain,
! [Y_39,Z_40,X_41] :
( distinct_points(Y_39,Z_40)
| distinct_points(X_41,Z_40)
| ~ distinct_points(X_41,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_52,plain,
! [Z_42] :
( distinct_points('#skF_2',Z_42)
| distinct_points('#skF_1',Z_42) ),
inference(resolution,[status(thm)],[c_34,c_48]) ).
tff(c_32,plain,
~ distinct_points('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_65,plain,
distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_52,c_32]) ).
tff(c_67,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_65]) ).
tff(c_69,plain,
distinct_points('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_68,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_830,plain,
! [Y_97,V_98,U_99,X_100] :
( apart_point_and_line(Y_97,V_98)
| apart_point_and_line(Y_97,U_99)
| apart_point_and_line(X_100,V_98)
| apart_point_and_line(X_100,U_99)
| ~ distinct_lines(U_99,V_98)
| ~ distinct_points(X_100,Y_97) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1049,plain,
! [Y_109,X_110] :
( apart_point_and_line(Y_109,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(Y_109,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_110,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_110,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_110,Y_109) ),
inference(resolution,[status(thm)],[c_68,c_830]) ).
tff(c_1199,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_34,c_1049]) ).
tff(c_1978,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1199]) ).
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_1983,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_1978,c_16]) ).
tff(c_1994,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1983]) ).
tff(c_1996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1994]) ).
tff(c_1997,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_1199]) ).
tff(c_2534,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_1997]) ).
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_2544,plain,
( distinct_points('#skF_2','#skF_3')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_2534,c_14]) ).
tff(c_2556,plain,
distinct_points('#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_2544]) ).
tff(c_2558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_2556]) ).
tff(c_2559,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_1997]) ).
tff(c_2561,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2559]) ).
tff(c_2568,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_2561,c_16]) ).
tff(c_2580,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_2568]) ).
tff(c_2582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2580]) ).
tff(c_2583,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_2559]) ).
tff(c_2594,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_2583,c_14]) ).
tff(c_2606,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2594]) ).
tff(c_2608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO204+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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 19:57:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 6.28/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.28/2.58
% 6.28/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------