TSTP Solution File: GEO259+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/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 : Tue Aug 22 10:38:55 EDT 2023
% Result : Theorem 8.41s 3.36s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 58 ( 11 unt; 20 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 36 ~; 49 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 16 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 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 > #skF_4
%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('#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(f_195,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco4) ).
tff(f_148,axiom,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
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/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
tff(f_122,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
tff(f_166,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
tff(f_291,negated_conjecture,
~ ! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,B,A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_222,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
tff(c_90,plain,
! [L_44] :
( line(reverse_line(L_44))
| ~ line(L_44) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_313,plain,
! [L_128,M_129] :
( unequally_directed_lines(L_128,reverse_line(M_129))
| unequally_directed_lines(L_128,M_129)
| ~ line(M_129)
| ~ line(L_128) ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
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_4905,plain,
! [M_323,N_324,L_325] :
( unequally_directed_lines(reverse_line(M_323),N_324)
| unequally_directed_lines(L_325,N_324)
| unequally_directed_lines(L_325,M_323)
| ~ line(M_323)
| ~ line(L_325) ),
inference(resolution,[status(thm)],[c_313,c_62]) ).
tff(c_60,plain,
! [L_23] : ~ unequally_directed_lines(L_23,L_23),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_5007,plain,
! [M_326,N_327] :
( unequally_directed_lines(reverse_line(M_326),N_327)
| unequally_directed_lines(M_326,N_327)
| ~ line(M_326) ),
inference(resolution,[status(thm)],[c_4905,c_60]) ).
tff(c_6185,plain,
! [N_378,N_379,M_380] :
( unequally_directed_lines(N_378,N_379)
| unequally_directed_lines(reverse_line(M_380),N_379)
| unequally_directed_lines(M_380,N_378)
| ~ line(M_380) ),
inference(resolution,[status(thm)],[c_5007,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_136,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_5033,plain,
! [M_326,M_33] :
( ~ unequally_directed_lines(reverse_line(M_326),M_33)
| unequally_directed_lines(M_326,reverse_line(M_33))
| ~ line(M_326) ),
inference(resolution,[status(thm)],[c_5007,c_136]) ).
tff(c_7254,plain,
! [M_424,N_425,N_426] :
( unequally_directed_lines(M_424,reverse_line(N_425))
| unequally_directed_lines(N_426,N_425)
| unequally_directed_lines(M_424,N_426)
| ~ line(M_424) ),
inference(resolution,[status(thm)],[c_6185,c_5033]) ).
tff(c_8334,plain,
! [N_460,N_461] :
( unequally_directed_lines(N_460,N_461)
| unequally_directed_lines(reverse_line(N_461),N_460)
| ~ line(reverse_line(N_461)) ),
inference(resolution,[status(thm)],[c_7254,c_60]) ).
tff(c_6306,plain,
! [M_380,N_379,N_378] :
( unequally_directed_lines(M_380,reverse_line(N_379))
| unequally_directed_lines(N_378,N_379)
| unequally_directed_lines(M_380,N_378)
| ~ line(M_380) ),
inference(resolution,[status(thm)],[c_6185,c_5033]) ).
tff(c_7419,plain,
! [N_427,M_428] :
( unequally_directed_lines(reverse_line(N_427),N_427)
| ~ line(M_428)
| unequally_directed_lines(M_428,reverse_line(N_427)) ),
inference(factorization,[status(thm),theory(equality)],[c_6306]) ).
tff(c_7484,plain,
! [M_428,N_427] :
( ~ unequally_directed_lines(M_428,N_427)
| unequally_directed_lines(reverse_line(N_427),N_427)
| ~ line(M_428) ),
inference(resolution,[status(thm)],[c_7419,c_136]) ).
tff(c_8408,plain,
! [N_465,N_466] :
( unequally_directed_lines(reverse_line(N_465),N_465)
| unequally_directed_lines(N_465,N_466)
| ~ line(reverse_line(N_466)) ),
inference(resolution,[status(thm)],[c_8334,c_7484]) ).
tff(c_8412,plain,
! [N_467,L_468] :
( unequally_directed_lines(reverse_line(N_467),N_467)
| unequally_directed_lines(N_467,L_468)
| ~ line(L_468) ),
inference(resolution,[status(thm)],[c_90,c_8408]) ).
tff(c_6325,plain,
! [N_381,M_382] :
( unequally_directed_lines(N_381,reverse_line(M_382))
| unequally_directed_lines(M_382,N_381)
| ~ line(M_382) ),
inference(resolution,[status(thm)],[c_6185,c_60]) ).
tff(c_6367,plain,
! [N_381,M_382] :
( ~ unequally_directed_lines(N_381,M_382)
| unequally_directed_lines(M_382,N_381)
| ~ line(M_382) ),
inference(resolution,[status(thm)],[c_6325,c_136]) ).
tff(c_8624,plain,
! [L_472,N_473] :
( unequally_directed_lines(L_472,N_473)
| unequally_directed_lines(reverse_line(N_473),N_473)
| ~ line(L_472) ),
inference(resolution,[status(thm)],[c_8412,c_6367]) ).
tff(c_8702,plain,
! [N_473,L_472] :
( unequally_directed_lines(reverse_line(N_473),N_473)
| ~ line(L_472) ),
inference(resolution,[status(thm)],[c_8624,c_7484]) ).
tff(c_8720,plain,
! [L_472] : ~ line(L_472),
inference(splitLeft,[status(thm)],[c_8702]) ).
tff(c_128,plain,
line('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_8723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8720,c_128]) ).
tff(c_8895,plain,
! [N_478] : unequally_directed_lines(reverse_line(N_478),N_478),
inference(splitRight,[status(thm)],[c_8702]) ).
tff(c_9043,plain,
! [N_480,N_481] :
( unequally_directed_lines(N_480,N_481)
| unequally_directed_lines(reverse_line(N_480),N_481) ),
inference(resolution,[status(thm)],[c_8895,c_62]) ).
tff(c_9102,plain,
! [N_482] : unequally_directed_lines(N_482,reverse_line(N_482)),
inference(resolution,[status(thm)],[c_9043,c_60]) ).
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_9127,plain,
$false,
inference(resolution,[status(thm)],[c_9102,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:19:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 8.41/3.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.73/3.37
% 8.73/3.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.79/3.40
% 8.79/3.40 Inference rules
% 8.79/3.40 ----------------------
% 8.79/3.40 #Ref : 0
% 8.79/3.40 #Sup : 1174
% 8.79/3.40 #Fact : 476
% 8.79/3.40 #Define : 0
% 8.79/3.40 #Split : 8
% 8.79/3.40 #Chain : 0
% 8.79/3.40 #Close : 0
% 8.79/3.40
% 8.79/3.40 Ordering : KBO
% 8.79/3.40
% 8.79/3.40 Simplification rules
% 8.79/3.40 ----------------------
% 8.79/3.40 #Subsume : 836
% 8.79/3.40 #Demod : 206
% 8.79/3.40 #Tautology : 213
% 8.79/3.40 #SimpNegUnit : 162
% 8.79/3.40 #BackRed : 5
% 8.79/3.40
% 8.79/3.40 #Partial instantiations: 0
% 8.79/3.40 #Strategies tried : 1
% 8.79/3.40
% 8.79/3.40 Timing (in seconds)
% 8.79/3.40 ----------------------
% 8.79/3.40 Preprocessing : 0.64
% 8.79/3.40 Parsing : 0.35
% 8.79/3.40 CNF conversion : 0.04
% 8.79/3.40 Main loop : 1.46
% 8.79/3.41 Inferencing : 0.59
% 8.79/3.41 Reduction : 0.35
% 8.79/3.41 Demodulation : 0.20
% 8.79/3.41 BG Simplification : 0.04
% 8.79/3.41 Subsumption : 0.41
% 8.79/3.41 Abstraction : 0.04
% 8.79/3.41 MUC search : 0.00
% 8.79/3.41 Cooper : 0.00
% 8.79/3.41 Total : 2.16
% 8.79/3.41 Index Insertion : 0.00
% 8.79/3.41 Index Deletion : 0.00
% 8.79/3.41 Index Matching : 0.00
% 8.79/3.41 BG Taut test : 0.00
%------------------------------------------------------------------------------