TSTP Solution File: GEO260+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 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 : n025.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 8.62s 3.12s
% Output : CNFRefutation 8.93s
% 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_196,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco4) ).
tff(f_149,axiom,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).
tff(f_129,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_123,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
tff(f_167,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_157,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_292,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,A,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_223,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(c_90,plain,
! [L_44] :
( line(reverse_line(L_44))
| ~ line(L_44) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
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_149]) ).
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_129]) ).
tff(c_4663,plain,
! [M_317,N_318,L_319] :
( unequally_directed_lines(reverse_line(M_317),N_318)
| unequally_directed_lines(L_319,N_318)
| unequally_directed_lines(L_319,M_317)
| ~ line(M_317)
| ~ line(L_319) ),
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_123]) ).
tff(c_4765,plain,
! [M_320,N_321] :
( unequally_directed_lines(reverse_line(M_320),N_321)
| unequally_directed_lines(M_320,N_321)
| ~ line(M_320) ),
inference(resolution,[status(thm)],[c_4663,c_60]) ).
tff(c_5953,plain,
! [N_373,N_374,M_375] :
( unequally_directed_lines(N_373,N_374)
| unequally_directed_lines(reverse_line(M_375),N_374)
| unequally_directed_lines(M_375,N_373)
| ~ line(M_375) ),
inference(resolution,[status(thm)],[c_4765,c_62]) ).
tff(c_80,plain,
! [L_36,M_37] : ~ left_convergent_lines(L_36,M_37),
inference(cnfTransformation,[status(thm)],[f_167]) ).
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_157]) ).
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_4791,plain,
! [M_320,M_33] :
( ~ unequally_directed_lines(reverse_line(M_320),M_33)
| unequally_directed_lines(M_320,reverse_line(M_33))
| ~ line(M_320) ),
inference(resolution,[status(thm)],[c_4765,c_136]) ).
tff(c_7014,plain,
! [M_420,N_421,N_422] :
( unequally_directed_lines(M_420,reverse_line(N_421))
| unequally_directed_lines(N_422,N_421)
| unequally_directed_lines(M_420,N_422)
| ~ line(M_420) ),
inference(resolution,[status(thm)],[c_5953,c_4791]) ).
tff(c_8273,plain,
! [N_454,N_455] :
( unequally_directed_lines(N_454,N_455)
| unequally_directed_lines(reverse_line(N_455),N_454)
| ~ line(reverse_line(N_455)) ),
inference(resolution,[status(thm)],[c_7014,c_60]) ).
tff(c_6074,plain,
! [M_375,N_374,N_373] :
( unequally_directed_lines(M_375,reverse_line(N_374))
| unequally_directed_lines(N_373,N_374)
| unequally_directed_lines(M_375,N_373)
| ~ line(M_375) ),
inference(resolution,[status(thm)],[c_5953,c_4791]) ).
tff(c_7179,plain,
! [N_423,M_424] :
( unequally_directed_lines(reverse_line(N_423),N_423)
| ~ line(M_424)
| unequally_directed_lines(M_424,reverse_line(N_423)) ),
inference(factorization,[status(thm),theory(equality)],[c_6074]) ).
tff(c_7244,plain,
! [M_424,N_423] :
( ~ unequally_directed_lines(M_424,N_423)
| unequally_directed_lines(reverse_line(N_423),N_423)
| ~ line(M_424) ),
inference(resolution,[status(thm)],[c_7179,c_136]) ).
tff(c_8350,plain,
! [N_459,N_460] :
( unequally_directed_lines(reverse_line(N_459),N_459)
| unequally_directed_lines(N_459,N_460)
| ~ line(reverse_line(N_460)) ),
inference(resolution,[status(thm)],[c_8273,c_7244]) ).
tff(c_8354,plain,
! [N_461,L_462] :
( unequally_directed_lines(reverse_line(N_461),N_461)
| unequally_directed_lines(N_461,L_462)
| ~ line(L_462) ),
inference(resolution,[status(thm)],[c_90,c_8350]) ).
tff(c_6093,plain,
! [N_376,M_377] :
( unequally_directed_lines(N_376,reverse_line(M_377))
| unequally_directed_lines(M_377,N_376)
| ~ line(M_377) ),
inference(resolution,[status(thm)],[c_5953,c_60]) ).
tff(c_6135,plain,
! [N_376,M_377] :
( ~ unequally_directed_lines(N_376,M_377)
| unequally_directed_lines(M_377,N_376)
| ~ line(M_377) ),
inference(resolution,[status(thm)],[c_6093,c_136]) ).
tff(c_8601,plain,
! [L_466,N_467] :
( unequally_directed_lines(L_466,N_467)
| unequally_directed_lines(reverse_line(N_467),N_467)
| ~ line(L_466) ),
inference(resolution,[status(thm)],[c_8354,c_6135]) ).
tff(c_8690,plain,
! [N_467,L_466] :
( unequally_directed_lines(reverse_line(N_467),N_467)
| ~ line(L_466) ),
inference(resolution,[status(thm)],[c_8601,c_7244]) ).
tff(c_8710,plain,
! [L_466] : ~ line(L_466),
inference(splitLeft,[status(thm)],[c_8690]) ).
tff(c_128,plain,
line('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_8713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8710,c_128]) ).
tff(c_8885,plain,
! [N_472] : unequally_directed_lines(reverse_line(N_472),N_472),
inference(splitRight,[status(thm)],[c_8690]) ).
tff(c_9034,plain,
! [N_474,N_475] :
( unequally_directed_lines(N_474,N_475)
| unequally_directed_lines(reverse_line(N_474),N_475) ),
inference(resolution,[status(thm)],[c_8885,c_62]) ).
tff(c_9099,plain,
! [N_476] : unequally_directed_lines(N_476,reverse_line(N_476)),
inference(resolution,[status(thm)],[c_9034,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_223]) ).
tff(c_9131,plain,
$false,
inference(resolution,[status(thm)],[c_9099,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.09/0.14 % 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:45:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.62/3.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.62/3.12
% 8.62/3.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.93/3.15
% 8.93/3.15 Inference rules
% 8.93/3.15 ----------------------
% 8.93/3.15 #Ref : 0
% 8.93/3.15 #Sup : 1231
% 8.93/3.15 #Fact : 452
% 8.93/3.15 #Define : 0
% 8.93/3.15 #Split : 8
% 8.93/3.15 #Chain : 0
% 8.93/3.15 #Close : 0
% 8.93/3.15
% 8.93/3.15 Ordering : KBO
% 8.93/3.15
% 8.93/3.15 Simplification rules
% 8.93/3.15 ----------------------
% 8.93/3.15 #Subsume : 805
% 8.93/3.15 #Demod : 210
% 8.93/3.15 #Tautology : 224
% 8.93/3.16 #SimpNegUnit : 180
% 8.93/3.16 #BackRed : 5
% 8.93/3.16
% 8.93/3.16 #Partial instantiations: 0
% 8.93/3.16 #Strategies tried : 1
% 8.93/3.16
% 8.93/3.16 Timing (in seconds)
% 8.93/3.16 ----------------------
% 8.93/3.16 Preprocessing : 0.59
% 8.93/3.16 Parsing : 0.32
% 8.93/3.16 CNF conversion : 0.04
% 8.93/3.16 Main loop : 1.44
% 8.93/3.16 Inferencing : 0.58
% 8.93/3.16 Reduction : 0.32
% 8.93/3.16 Demodulation : 0.19
% 8.93/3.16 BG Simplification : 0.05
% 8.93/3.16 Subsumption : 0.41
% 8.93/3.16 Abstraction : 0.04
% 8.93/3.16 MUC search : 0.00
% 8.93/3.16 Cooper : 0.00
% 8.93/3.16 Total : 2.08
% 8.93/3.16 Index Insertion : 0.00
% 8.93/3.16 Index Deletion : 0.00
% 8.93/3.16 Index Matching : 0.00
% 8.93/3.16 BG Taut test : 0.00
%------------------------------------------------------------------------------