%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO179+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.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 4.42s 2.00s
% Output : CNFRefutation 4.42s
% 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 : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > 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(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(parallel_through_point,type,
parallel_through_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(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff(parallel_lines,type,
parallel_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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_438,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/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_127,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_86,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_121,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_91,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_96,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_471,plain,
! [X_241,Z_242,Y_243] :
( apart_point_and_line(X_241,Z_242)
| distinct_lines(Y_243,Z_242)
| ~ apart_point_and_line(X_241,Y_243) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_489,plain,
! [Z_248] :
( apart_point_and_line('#skF_3',Z_248)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_248) ),
inference(resolution,[status(thm)],[c_96,c_471]) ).
tff(c_167,plain,
! [X_135,Z_136,Y_137] :
( apart_point_and_line(X_135,Z_136)
| distinct_lines(Y_137,Z_136)
| ~ apart_point_and_line(X_135,Y_137) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_171,plain,
! [Z_138] :
( apart_point_and_line('#skF_3',Z_138)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_138) ),
inference(resolution,[status(thm)],[c_96,c_167]) ).
tff(c_94,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_438]) ).
tff(c_106,plain,
~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_1')),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_182,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_171,c_106]) ).
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_86]) ).
tff(c_192,plain,
~ distinct_points('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_182,c_14]) ).
tff(c_98,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_251,plain,
! [Z_157,Y_158,X_159] :
( apart_point_and_line(Z_157,Y_158)
| distinct_points(X_159,Z_157)
| ~ apart_point_and_line(X_159,Y_158) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_268,plain,
! [Z_163] :
( apart_point_and_line(Z_163,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_3',Z_163) ),
inference(resolution,[status(thm)],[c_96,c_251]) ).
tff(c_280,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_268,c_14]) ).
tff(c_296,plain,
distinct_points('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_280]) ).
tff(c_298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_192,c_296]) ).
tff(c_299,plain,
~ distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_3','#skF_2')),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_501,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_2')),
inference(resolution,[status(thm)],[c_489,c_299]) ).
tff(c_510,plain,
~ distinct_points('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_501,c_14]) ).
tff(c_548,plain,
! [Z_252,Y_253,X_254] :
( apart_point_and_line(Z_252,Y_253)
| distinct_points(X_254,Z_252)
| ~ apart_point_and_line(X_254,Y_253) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_555,plain,
! [Z_255] :
( apart_point_and_line(Z_255,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_3',Z_255) ),
inference(resolution,[status(thm)],[c_96,c_548]) ).
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_91]) ).
tff(c_563,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_555,c_16]) ).
tff(c_580,plain,
distinct_points('#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_563]) ).
tff(c_582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_510,c_580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO179+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 19:54:47 EDT 2025
% 0.12/0.33 % CPUTime :
% 4.42/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/2.00
% 4.42/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------