%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO231+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 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 : 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 06:14:23 PM UTC 2025
% Result : Theorem 6.36s 3.04s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 20 ~; 29 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_lines > left_convergent_lines > left_apart_point > 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
%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(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(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('#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(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(f_287,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,N) )
=> ~ unequally_directed_lines(M,reverse_line(N)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_122,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
tff(f_128,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
tff(f_166,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
tff(f_156,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).
tff(c_120,plain,
~ unequally_directed_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_60,plain,
! [L_23] : ~ unequally_directed_lines(L_23,L_23),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_118,plain,
unequally_directed_lines('#skF_2',reverse_line('#skF_3')),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_223,plain,
! [M_113,N_114,L_115] :
( unequally_directed_lines(M_113,N_114)
| unequally_directed_lines(L_115,N_114)
| ~ unequally_directed_lines(L_115,M_113) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_226,plain,
! [N_114] :
( unequally_directed_lines(reverse_line('#skF_3'),N_114)
| unequally_directed_lines('#skF_2',N_114) ),
inference(resolution,[status(thm)],[c_118,c_223]) ).
tff(c_227,plain,
! [N_116] :
( unequally_directed_lines(reverse_line('#skF_3'),N_116)
| unequally_directed_lines('#skF_2',N_116) ),
inference(resolution,[status(thm)],[c_118,c_223]) ).
tff(c_80,plain,
! [L_36,M_37] : ~ left_convergent_lines(L_36,M_37),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_74,plain,
! [L_32,M_33] :
( left_convergent_lines(L_32,reverse_line(M_33))
| left_convergent_lines(L_32,M_33)
| ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_130,plain,
! [L_32,M_33] :
( ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(negUnitSimplification,[status(thm)],[c_80,c_80,c_74]) ).
tff(c_242,plain,
! [M_117] :
( ~ unequally_directed_lines(reverse_line('#skF_3'),M_117)
| unequally_directed_lines('#skF_2',reverse_line(M_117)) ),
inference(resolution,[status(thm)],[c_227,c_130]) ).
tff(c_246,plain,
! [N_114] :
( unequally_directed_lines('#skF_2',reverse_line(N_114))
| unequally_directed_lines('#skF_2',N_114) ),
inference(resolution,[status(thm)],[c_226,c_242]) ).
tff(c_62,plain,
! [M_25,N_26,L_24] :
( unequally_directed_lines(M_25,N_26)
| unequally_directed_lines(L_24,N_26)
| ~ unequally_directed_lines(L_24,M_25) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_273,plain,
! [N_119,N_120] :
( unequally_directed_lines(N_119,N_120)
| unequally_directed_lines(reverse_line('#skF_3'),N_120)
| unequally_directed_lines('#skF_2',N_119) ),
inference(resolution,[status(thm)],[c_227,c_62]) ).
tff(c_239,plain,
! [M_33] :
( ~ unequally_directed_lines(reverse_line('#skF_3'),M_33)
| unequally_directed_lines('#skF_2',reverse_line(M_33)) ),
inference(resolution,[status(thm)],[c_227,c_130]) ).
tff(c_725,plain,
! [N_151,N_152] :
( unequally_directed_lines('#skF_2',reverse_line(N_151))
| unequally_directed_lines(N_152,N_151)
| unequally_directed_lines('#skF_2',N_152) ),
inference(resolution,[status(thm)],[c_273,c_239]) ).
tff(c_796,plain,
! [N_153,N_154] :
( ~ unequally_directed_lines('#skF_2',N_153)
| unequally_directed_lines(N_154,N_153)
| unequally_directed_lines('#skF_2',N_154) ),
inference(resolution,[status(thm)],[c_725,c_130]) ).
tff(c_1192,plain,
! [N_177,N_178] :
( unequally_directed_lines(N_177,reverse_line(N_178))
| unequally_directed_lines('#skF_2',N_177)
| unequally_directed_lines('#skF_2',N_178) ),
inference(resolution,[status(thm)],[c_246,c_796]) ).
tff(c_122,plain,
~ unequally_directed_lines('#skF_1',reverse_line('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_1232,plain,
( unequally_directed_lines('#skF_2','#skF_1')
| unequally_directed_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_1192,c_122]) ).
tff(c_1258,plain,
unequally_directed_lines('#skF_2','#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_60,c_1232]) ).
tff(c_1337,plain,
! [N_180] :
( unequally_directed_lines('#skF_1',N_180)
| unequally_directed_lines('#skF_2',N_180) ),
inference(resolution,[status(thm)],[c_1258,c_62]) ).
tff(c_326,plain,
! [N_121] :
( unequally_directed_lines(N_121,reverse_line('#skF_3'))
| unequally_directed_lines('#skF_2',N_121) ),
inference(resolution,[status(thm)],[c_273,c_60]) ).
tff(c_347,plain,
! [N_121] :
( ~ unequally_directed_lines(N_121,'#skF_3')
| unequally_directed_lines('#skF_2',N_121) ),
inference(resolution,[status(thm)],[c_326,c_130]) ).
tff(c_1345,plain,
( unequally_directed_lines('#skF_2','#skF_2')
| unequally_directed_lines('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_1337,c_347]) ).
tff(c_1364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_60,c_1345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO231+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.02/0.12 % 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
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 7 20:00:30 EDT 2025
% 0.12/0.32 % CPUTime :
% 6.36/3.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/3.05
% 6.36/3.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------