%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO174+1 : 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 : n024.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 3.37s 1.82s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 11 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 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_144,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) )
=> distinct_lines(U,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
( apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_40,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_59,plain,
! [X_49,Z_50,Y_51] :
( apart_point_and_line(X_49,Z_50)
| distinct_lines(Y_51,Z_50)
| ~ apart_point_and_line(X_49,Y_51) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_79,plain,
! [Z_56] :
( apart_point_and_line('#skF_1',Z_56)
| distinct_lines('#skF_3',Z_56) ),
inference(resolution,[status(thm)],[c_40,c_59]) ).
tff(c_30,plain,
~ distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_87,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_79,c_30]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_94,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_87,c_14]) ).
tff(c_99,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_94]) ).
tff(c_100,plain,
apart_point_and_line('#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_120,plain,
! [X_69,Z_70,Y_71] :
( apart_point_and_line(X_69,Z_70)
| distinct_lines(Y_71,Z_70)
| ~ apart_point_and_line(X_69,Y_71) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_124,plain,
! [Z_72] :
( apart_point_and_line('#skF_2',Z_72)
| distinct_lines('#skF_3',Z_72) ),
inference(resolution,[status(thm)],[c_100,c_120]) ).
tff(c_132,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_124,c_30]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_139,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_132,c_16]) ).
tff(c_144,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GEO174+1 : TPTP v9.0.0. Released v3.3.0.
% 0.10/0.11 % 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
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 7 19:54:06 EDT 2025
% 0.10/0.31 % CPUTime :
% 3.37/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.48/1.83
% 3.48/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------