%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO230+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 : n014.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 7.48s 2.72s
% Output : CNFRefutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 91 ( 31 ~; 53 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 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_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_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_222,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
tff(f_161,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
tff(f_246,axiom,
! [A,B,L,M] :
( ( distinct_points(A,B)
& distinct_lines(L,M) )
=> ( left_apart_point(A,L)
| left_apart_point(B,L)
| left_apart_point(A,M)
| left_apart_point(B,M)
| left_apart_point(A,reverse_line(L))
| left_apart_point(B,reverse_line(L))
| left_apart_point(A,reverse_line(M))
| left_apart_point(B,reverse_line(M)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oaguc1) ).
tff(f_286,negated_conjecture,
~ ! [A,B] :
( distinct_points(A,B)
=> ( ~ distinct_lines(line_connecting(A,B),line_connecting(B,A))
& ~ unequally_directed_lines(line_connecting(B,A),line_connecting(A,B)) ) ),
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(c_104,plain,
! [A_52,B_53] : ~ unequally_directed_lines(line_connecting(A_52,B_53),reverse_line(line_connecting(B_53,A_52))),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_76,plain,
! [A_34,L_35] : ~ left_apart_point(A_34,L_35),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_78,plain,
! [A_34,L_35] : ~ left_apart_point(A_34,reverse_line(L_35)),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_108,plain,
! [B_57,M_59,A_56,L_58] :
( left_apart_point(B_57,reverse_line(M_59))
| left_apart_point(A_56,reverse_line(M_59))
| left_apart_point(B_57,reverse_line(L_58))
| left_apart_point(A_56,reverse_line(L_58))
| left_apart_point(B_57,M_59)
| left_apart_point(A_56,M_59)
| left_apart_point(B_57,L_58)
| left_apart_point(A_56,L_58)
| ~ distinct_lines(L_58,M_59)
| ~ distinct_points(A_56,B_57) ),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_123,plain,
! [B_57,M_59,A_56,L_58] :
( left_apart_point(B_57,M_59)
| left_apart_point(A_56,M_59)
| left_apart_point(B_57,L_58)
| left_apart_point(A_56,L_58)
| ~ distinct_lines(L_58,M_59)
| ~ distinct_points(A_56,B_57) ),
inference(negUnitSimplification,[status(thm)],[c_78,c_78,c_78,c_78,c_108]) ).
tff(c_127,plain,
! [L_58,M_59,A_56,B_57] :
( ~ distinct_lines(L_58,M_59)
| ~ distinct_points(A_56,B_57) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_76,c_76,c_76,c_123]) ).
tff(c_146,plain,
! [A_56,B_57] : ~ distinct_points(A_56,B_57),
inference(splitLeft,[status(thm)],[c_127]) ).
tff(c_120,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146,c_120]) ).
tff(c_149,plain,
! [L_58,M_59] : ~ distinct_lines(L_58,M_59),
inference(splitRight,[status(thm)],[c_127]) ).
tff(c_118,plain,
( unequally_directed_lines(line_connecting('#skF_2','#skF_1'),line_connecting('#skF_1','#skF_2'))
| distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_143,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_118]) ).
tff(c_165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149,c_143]) ).
tff(c_166,plain,
unequally_directed_lines(line_connecting('#skF_2','#skF_1'),line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_118]) ).
tff(c_248,plain,
! [M_133,N_134,L_135] :
( unequally_directed_lines(M_133,N_134)
| unequally_directed_lines(L_135,N_134)
| ~ unequally_directed_lines(L_135,M_133) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_251,plain,
! [N_134] :
( unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_134)
| unequally_directed_lines(line_connecting('#skF_2','#skF_1'),N_134) ),
inference(resolution,[status(thm)],[c_166,c_248]) ).
tff(c_292,plain,
! [N_138] :
( unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_138)
| unequally_directed_lines(line_connecting('#skF_2','#skF_1'),N_138) ),
inference(resolution,[status(thm)],[c_166,c_248]) ).
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_1968,plain,
! [N_237,N_238] :
( unequally_directed_lines(N_237,N_238)
| unequally_directed_lines(line_connecting('#skF_2','#skF_1'),N_238)
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_237) ),
inference(resolution,[status(thm)],[c_292,c_62]) ).
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_128,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_4183,plain,
! [M_313,N_314] :
( ~ unequally_directed_lines(line_connecting('#skF_2','#skF_1'),M_313)
| unequally_directed_lines(N_314,reverse_line(M_313))
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_314) ),
inference(resolution,[status(thm)],[c_1968,c_128]) ).
tff(c_4265,plain,
! [N_314,N_134] :
( unequally_directed_lines(N_314,reverse_line(N_134))
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_314)
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_134) ),
inference(resolution,[status(thm)],[c_251,c_4183]) ).
tff(c_5487,plain,
! [N_335] :
( unequally_directed_lines(N_335,reverse_line(N_335))
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_335) ),
inference(factorization,[status(thm),theory(equality)],[c_4265]) ).
tff(c_5591,plain,
! [A_336] : unequally_directed_lines(line_connecting('#skF_1','#skF_2'),line_connecting(A_336,A_336)),
inference(resolution,[status(thm)],[c_5487,c_104]) ).
tff(c_471,plain,
! [M_147] :
( ~ unequally_directed_lines(line_connecting('#skF_2','#skF_1'),M_147)
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),reverse_line(M_147)) ),
inference(resolution,[status(thm)],[c_292,c_128]) ).
tff(c_483,plain,
! [M_147] :
( ~ unequally_directed_lines(line_connecting('#skF_1','#skF_2'),M_147)
| ~ unequally_directed_lines(line_connecting('#skF_2','#skF_1'),M_147) ),
inference(resolution,[status(thm)],[c_471,c_128]) ).
tff(c_2053,plain,
! [N_238,N_237] :
( ~ unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_238)
| unequally_directed_lines(N_237,N_238)
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_237) ),
inference(resolution,[status(thm)],[c_1968,c_483]) ).
tff(c_5878,plain,
! [N_343,A_344] :
( unequally_directed_lines(N_343,line_connecting(A_344,A_344))
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_343) ),
inference(resolution,[status(thm)],[c_5591,c_2053]) ).
tff(c_2315,plain,
! [N_251] :
( unequally_directed_lines(reverse_line(line_connecting('#skF_2','#skF_1')),N_251)
| unequally_directed_lines(line_connecting('#skF_2','#skF_1'),N_251) ),
inference(resolution,[status(thm)],[c_1968,c_104]) ).
tff(c_2342,plain,
! [M_33] :
( ~ unequally_directed_lines(reverse_line(line_connecting('#skF_2','#skF_1')),M_33)
| unequally_directed_lines(line_connecting('#skF_2','#skF_1'),reverse_line(M_33)) ),
inference(resolution,[status(thm)],[c_2315,c_128]) ).
tff(c_5898,plain,
! [A_344] :
( unequally_directed_lines(line_connecting('#skF_2','#skF_1'),reverse_line(line_connecting(A_344,A_344)))
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),reverse_line(line_connecting('#skF_2','#skF_1'))) ),
inference(resolution,[status(thm)],[c_5878,c_2342]) ).
tff(c_6009,plain,
! [A_349] : unequally_directed_lines(line_connecting('#skF_2','#skF_1'),reverse_line(line_connecting(A_349,A_349))),
inference(negUnitSimplification,[status(thm)],[c_104,c_5898]) ).
tff(c_6024,plain,
! [A_349] : ~ unequally_directed_lines(line_connecting('#skF_1','#skF_2'),reverse_line(line_connecting(A_349,A_349))),
inference(resolution,[status(thm)],[c_6009,c_483]) ).
tff(c_6823,plain,
! [A_378,N_379] :
( unequally_directed_lines(line_connecting(A_378,A_378),N_379)
| unequally_directed_lines(line_connecting('#skF_1','#skF_2'),N_379) ),
inference(resolution,[status(thm)],[c_5591,c_62]) ).
tff(c_6846,plain,
! [A_378] : unequally_directed_lines(line_connecting('#skF_1','#skF_2'),reverse_line(line_connecting(A_378,A_378))),
inference(resolution,[status(thm)],[c_6823,c_104]) ).
tff(c_6915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6024,c_6846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO230+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.06/0.12 % 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
% 0.13/0.31 % Computer : n014.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Mon Apr 7 20:01:04 EDT 2025
% 0.13/0.32 % CPUTime :
% 7.48/2.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.48/2.73
% 7.48/2.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------