%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO179+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 : n012.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 06:14:02 PM UTC 2025
% Result : Theorem 3.37s 1.88s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 19 ~; 19 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 33 ( 33 !; 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_143,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y)) )
=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_126,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_85,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_120,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_90,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_32,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_264,plain,
! [X_77,Z_78,Y_79] :
( apart_point_and_line(X_77,Z_78)
| distinct_lines(Y_79,Z_78)
| ~ apart_point_and_line(X_77,Y_79) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_268,plain,
! [Z_80] :
( apart_point_and_line('#skF_3',Z_80)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_80) ),
inference(resolution,[status(thm)],[c_32,c_264]) ).
tff(c_44,plain,
! [X_48,Z_49,Y_50] :
( apart_point_and_line(X_48,Z_49)
| distinct_lines(Y_50,Z_49)
| ~ apart_point_and_line(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_48,plain,
! [Z_51] :
( apart_point_and_line('#skF_3',Z_51)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_51) ),
inference(resolution,[status(thm)],[c_32,c_44]) ).
tff(c_30,plain,
( ~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_2'))
| ~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_42,plain,
~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_1')),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_59,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_48,c_42]) ).
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_85]) ).
tff(c_68,plain,
~ distinct_points('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_59,c_14]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_149,plain,
! [Z_60,Y_61,X_62] :
( apart_point_and_line(Z_60,Y_61)
| distinct_points(X_62,Z_60)
| ~ apart_point_and_line(X_62,Y_61) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_156,plain,
! [Z_63] :
( apart_point_and_line(Z_63,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_3',Z_63) ),
inference(resolution,[status(thm)],[c_32,c_149]) ).
tff(c_172,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_156,c_14]) ).
tff(c_185,plain,
distinct_points('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_172]) ).
tff(c_187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_185]) ).
tff(c_188,plain,
~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_2')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_279,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_2')),
inference(resolution,[status(thm)],[c_268,c_188]) ).
tff(c_288,plain,
~ distinct_points('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_279,c_14]) ).
tff(c_333,plain,
! [Z_87,Y_88,X_89] :
( apart_point_and_line(Z_87,Y_88)
| distinct_points(X_89,Z_87)
| ~ apart_point_and_line(X_89,Y_88) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_340,plain,
! [Z_90] :
( apart_point_and_line(Z_90,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_3',Z_90) ),
inference(resolution,[status(thm)],[c_32,c_333]) ).
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_90]) ).
tff(c_352,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_340,c_16]) ).
tff(c_366,plain,
distinct_points('#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_352]) ).
tff(c_368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : GEO179+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.08 % 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
% 0.08/0.29 % Computer : n012.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Apr 7 19:54:30 EDT 2025
% 0.08/0.30 % CPUTime :
% 3.37/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/1.88
% 3.37/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------