%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO234+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 06:14:24 PM UTC 2025
% Result : Theorem 4.81s 2.65s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 21 ~; 28 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 42 ( 42 !; 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_284,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_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(f_122,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
tff(c_120,plain,
~ unequally_directed_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_122,plain,
unequally_directed_lines('#skF_1',reverse_line('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_284]) ).
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_2'),N_114)
| unequally_directed_lines('#skF_1',N_114) ),
inference(resolution,[status(thm)],[c_122,c_223]) ).
tff(c_227,plain,
! [N_116] :
( unequally_directed_lines(reverse_line('#skF_2'),N_116)
| unequally_directed_lines('#skF_1',N_116) ),
inference(resolution,[status(thm)],[c_122,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_2'),M_117)
| unequally_directed_lines('#skF_1',reverse_line(M_117)) ),
inference(resolution,[status(thm)],[c_227,c_130]) ).
tff(c_246,plain,
! [N_114] :
( unequally_directed_lines('#skF_1',reverse_line(N_114))
| unequally_directed_lines('#skF_1',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_238,plain,
! [N_116,N_26] :
( unequally_directed_lines(N_116,N_26)
| unequally_directed_lines(reverse_line('#skF_2'),N_26)
| unequally_directed_lines('#skF_1',N_116) ),
inference(resolution,[status(thm)],[c_227,c_62]) ).
tff(c_273,plain,
! [N_119,N_120] :
( unequally_directed_lines(N_119,N_120)
| unequally_directed_lines(reverse_line('#skF_2'),N_120)
| unequally_directed_lines('#skF_1',N_119) ),
inference(resolution,[status(thm)],[c_227,c_62]) ).
tff(c_60,plain,
! [L_23] : ~ unequally_directed_lines(L_23,L_23),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_327,plain,
! [N_121] :
( unequally_directed_lines(N_121,reverse_line('#skF_2'))
| unequally_directed_lines('#skF_1',N_121) ),
inference(resolution,[status(thm)],[c_273,c_60]) ).
tff(c_352,plain,
! [N_122] :
( ~ unequally_directed_lines(N_122,'#skF_2')
| unequally_directed_lines('#skF_1',N_122) ),
inference(resolution,[status(thm)],[c_327,c_130]) ).
tff(c_363,plain,
! [N_116] :
( unequally_directed_lines(reverse_line('#skF_2'),'#skF_2')
| unequally_directed_lines('#skF_1',N_116) ),
inference(resolution,[status(thm)],[c_238,c_352]) ).
tff(c_373,plain,
unequally_directed_lines(reverse_line('#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_363]) ).
tff(c_387,plain,
! [N_124] :
( unequally_directed_lines('#skF_2',N_124)
| unequally_directed_lines(reverse_line('#skF_2'),N_124) ),
inference(resolution,[status(thm)],[c_373,c_62]) ).
tff(c_239,plain,
! [M_33] :
( ~ unequally_directed_lines(reverse_line('#skF_2'),M_33)
| unequally_directed_lines('#skF_1',reverse_line(M_33)) ),
inference(resolution,[status(thm)],[c_227,c_130]) ).
tff(c_418,plain,
! [N_125] :
( unequally_directed_lines('#skF_1',reverse_line(N_125))
| unequally_directed_lines('#skF_2',N_125) ),
inference(resolution,[status(thm)],[c_387,c_239]) ).
tff(c_453,plain,
! [N_128] :
( ~ unequally_directed_lines('#skF_1',N_128)
| unequally_directed_lines('#skF_2',N_128) ),
inference(resolution,[status(thm)],[c_418,c_130]) ).
tff(c_118,plain,
~ unequally_directed_lines('#skF_2',reverse_line('#skF_3')),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_474,plain,
~ unequally_directed_lines('#skF_1',reverse_line('#skF_3')),
inference(resolution,[status(thm)],[c_453,c_118]) ).
tff(c_483,plain,
unequally_directed_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_246,c_474]) ).
tff(c_488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_483]) ).
tff(c_489,plain,
! [N_116] : unequally_directed_lines('#skF_1',N_116),
inference(splitRight,[status(thm)],[c_363]) ).
tff(c_189,plain,
! [L_103,M_104] :
( ~ unequally_directed_lines(L_103,reverse_line(M_104))
| ~ unequally_directed_lines(L_103,M_104) ),
inference(negUnitSimplification,[status(thm)],[c_80,c_80,c_74]) ).
tff(c_202,plain,
~ unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_122,c_189]) ).
tff(c_503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_489,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GEO234+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.03/0.10 % 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
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 7 20:01:00 EDT 2025
% 0.10/0.30 % CPUTime :
% 4.81/2.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/2.66
% 4.81/2.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------