%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO258+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 : n011.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 06:14:31 PM UTC 2025
% Result : Theorem 5.29s 2.26s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 21 ~; 22 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $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(equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(right_apart_point,type,
right_apart_point: ( $i * $i ) > $o ).
tff(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_113,axiom,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a9_defns) ).
tff(f_286,negated_conjecture,
~ ! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(c_1112,plain,
! [L_293,B_294,C_295,A_296] :
( ~ before_on_line(L_293,B_294,C_295)
| ~ before_on_line(L_293,A_296,B_294)
| between_on_line(L_293,A_296,B_294,C_295) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_134,plain,
~ between_on_line('#skF_1','#skF_4','#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_1116,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_2')
| ~ before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_1112,c_134]) ).
tff(c_1176,plain,
~ before_on_line('#skF_1','#skF_4','#skF_3'),
inference(splitLeft,[status(thm)],[c_1116]) ).
tff(c_136,plain,
between_on_line('#skF_1','#skF_2','#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_1375,plain,
! [L_327,A_328,B_329,C_330] :
( before_on_line(L_327,A_328,B_329)
| before_on_line(L_327,C_330,B_329)
| ~ between_on_line(L_327,A_328,B_329,C_330) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1381,plain,
( before_on_line('#skF_1','#skF_2','#skF_3')
| before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_136,c_1375]) ).
tff(c_1385,plain,
before_on_line('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_1176,c_1381]) ).
tff(c_1292,plain,
! [L_316,B_317,C_318,A_319] :
( before_on_line(L_316,B_317,C_318)
| before_on_line(L_316,C_318,B_317)
| ~ between_on_line(L_316,A_319,B_317,C_318) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1298,plain,
( before_on_line('#skF_1','#skF_3','#skF_4')
| before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_136,c_1292]) ).
tff(c_1302,plain,
before_on_line('#skF_1','#skF_3','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_1176,c_1298]) ).
tff(c_1668,plain,
! [L_351,B_352,A_353,C_354] :
( ~ before_on_line(L_351,B_352,A_353)
| ~ before_on_line(L_351,C_354,B_352)
| between_on_line(L_351,A_353,B_352,C_354) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1683,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_4')
| ~ before_on_line('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_1668,c_134]) ).
tff(c_1691,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1385,c_1302,c_1683]) ).
tff(c_1692,plain,
~ before_on_line('#skF_1','#skF_3','#skF_2'),
inference(splitRight,[status(thm)],[c_1116]) ).
tff(c_1927,plain,
! [L_377,A_378,B_379,C_380] :
( before_on_line(L_377,A_378,B_379)
| before_on_line(L_377,B_379,A_378)
| ~ between_on_line(L_377,A_378,B_379,C_380) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1933,plain,
( before_on_line('#skF_1','#skF_2','#skF_3')
| before_on_line('#skF_1','#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_136,c_1927]) ).
tff(c_1937,plain,
before_on_line('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_1692,c_1933]) ).
tff(c_2024,plain,
! [L_385,B_386,A_387,C_388] :
( ~ before_on_line(L_385,B_386,A_387)
| ~ before_on_line(L_385,C_388,B_386)
| between_on_line(L_385,A_387,B_386,C_388) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2033,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_4')
| ~ before_on_line('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_2024,c_134]) ).
tff(c_2038,plain,
~ before_on_line('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1937,c_2033]) ).
tff(c_2357,plain,
! [L_411,B_412,C_413,A_414] :
( before_on_line(L_411,B_412,C_413)
| before_on_line(L_411,B_412,A_414)
| ~ between_on_line(L_411,A_414,B_412,C_413) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_2366,plain,
( before_on_line('#skF_1','#skF_3','#skF_4')
| before_on_line('#skF_1','#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_136,c_2357]) ).
tff(c_2372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1692,c_2038,c_2366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO258+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % 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
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 20:03:48 EDT 2025
% 0.13/0.33 % CPUTime :
% 5.29/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.29/2.27
% 5.29/2.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------