%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO181+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 : n010.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 06:14:03 PM UTC 2025
% Result : Theorem 6.47s 2.64s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 21 ~; 38 |; 1 &)
% ( 0 <=>; 8 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 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_140,negated_conjecture,
~ ! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> apart_point_and_line(Y,line_connecting(X,Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
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_66,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(f_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
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_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/GEO006+0.ax',cu1) ).
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_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_32,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_59,plain,
! [Z_58,Y_59,X_60] :
( apart_point_and_line(Z_58,Y_59)
| distinct_points(X_60,Z_58)
| ~ apart_point_and_line(X_60,Y_59) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_63,plain,
! [Z_61] :
( apart_point_and_line(Z_61,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_3',Z_61) ),
inference(resolution,[status(thm)],[c_32,c_59]) ).
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_69,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_63,c_14]) ).
tff(c_85,plain,
distinct_points('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_69]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_137,plain,
! [Z_64] :
( distinct_points('#skF_1',Z_64)
| distinct_points('#skF_3',Z_64) ),
inference(resolution,[status(thm)],[c_85,c_8]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_145,plain,
distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_137,c_2]) ).
tff(c_174,plain,
! [X_67,Z_68,Y_69] :
( apart_point_and_line(X_67,Z_68)
| distinct_lines(Y_69,Z_68)
| ~ apart_point_and_line(X_67,Y_69) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_182,plain,
! [Z_74] :
( apart_point_and_line('#skF_3',Z_74)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_74) ),
inference(resolution,[status(thm)],[c_32,c_174]) ).
tff(c_22,plain,
! [Y_22,V_24,U_23,X_21] :
( apart_point_and_line(Y_22,V_24)
| apart_point_and_line(Y_22,U_23)
| apart_point_and_line(X_21,V_24)
| apart_point_and_line(X_21,U_23)
| ~ distinct_lines(U_23,V_24)
| ~ distinct_points(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1180,plain,
! [Y_117,Z_118,X_119] :
( apart_point_and_line(Y_117,Z_118)
| apart_point_and_line(Y_117,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_119,Z_118)
| apart_point_and_line(X_119,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_119,Y_117)
| apart_point_and_line('#skF_3',Z_118) ),
inference(resolution,[status(thm)],[c_182,c_22]) ).
tff(c_1370,plain,
! [Z_118] :
( apart_point_and_line('#skF_2',Z_118)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_118)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_118) ),
inference(resolution,[status(thm)],[c_34,c_1180]) ).
tff(c_1539,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1370]) ).
tff(c_1546,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1539,c_14]) ).
tff(c_1552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1546]) ).
tff(c_1553,plain,
! [Z_118] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_118)
| apart_point_and_line('#skF_1',Z_118)
| apart_point_and_line('#skF_3',Z_118) ),
inference(splitRight,[status(thm)],[c_1370]) ).
tff(c_2181,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1553]) ).
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_2188,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2181,c_16]) ).
tff(c_2194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2188]) ).
tff(c_2207,plain,
! [Z_144] :
( apart_point_and_line('#skF_2',Z_144)
| apart_point_and_line('#skF_1',Z_144)
| apart_point_and_line('#skF_3',Z_144) ),
inference(splitRight,[status(thm)],[c_1553]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_2233,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')) ),
inference(resolution,[status(thm)],[c_2207,c_30]) ).
tff(c_2234,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2233]) ).
tff(c_2241,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2234,c_16]) ).
tff(c_2247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_2241]) ).
tff(c_2248,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_2233]) ).
tff(c_2265,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2248,c_14]) ).
tff(c_2271,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_2265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO181+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.08 % 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
% 0.07/0.27 % Computer : n010.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 7 19:55:32 EDT 2025
% 0.07/0.28 % CPUTime :
% 6.47/2.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.47/2.64
% 6.47/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------