TSTP Solution File: GEO177+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n002.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 10:38:27 EDT 2023
% Result : Theorem 12.73s 4.27s
% Output : CNFRefutation 12.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 25 unt; 10 typ; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 24 ~; 73 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 62 (; 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #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(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $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(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V) )
=> ( ( apart_point_and_line(X,line_connecting(U,V))
| apart_point_and_line(Y,line_connecting(U,V)) )
=> ( apart_point_and_line(U,line_connecting(X,Y))
| apart_point_and_line(V,line_connecting(X,Y)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).
tff(f_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_91,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_36,plain,
distinct_points('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_34,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_52,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_61,plain,
! [X_43,Z_44,Y_45] :
( apart_point_and_line(X_43,Z_44)
| distinct_lines(Y_45,Z_44)
| ~ apart_point_and_line(X_43,Y_45) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_67,plain,
! [Z_44] :
( apart_point_and_line('#skF_1',Z_44)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_44) ),
inference(resolution,[status(thm)],[c_52,c_61]) ).
tff(c_1337,plain,
! [Y_126,V_127,U_128,X_129] :
( apart_point_and_line(Y_126,V_127)
| apart_point_and_line(Y_126,U_128)
| apart_point_and_line(X_129,V_127)
| apart_point_and_line(X_129,U_128)
| ~ distinct_lines(U_128,V_127)
| ~ distinct_points(X_129,Y_126) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_7179,plain,
! [Y_318,Z_319,X_320] :
( apart_point_and_line(Y_318,Z_319)
| apart_point_and_line(Y_318,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line(X_320,Z_319)
| apart_point_and_line(X_320,line_connecting('#skF_3','#skF_4'))
| ~ distinct_points(X_320,Y_318)
| apart_point_and_line('#skF_1',Z_319) ),
inference(resolution,[status(thm)],[c_67,c_1337]) ).
tff(c_7970,plain,
! [Z_319] :
( apart_point_and_line('#skF_4',Z_319)
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',Z_319)
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',Z_319) ),
inference(resolution,[status(thm)],[c_36,c_7179]) ).
tff(c_8198,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_7970]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_8208,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_8198,c_16]) ).
tff(c_8220,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8208]) ).
tff(c_8222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8220]) ).
tff(c_8223,plain,
! [Z_319] :
( apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',Z_319)
| apart_point_and_line('#skF_3',Z_319)
| apart_point_and_line('#skF_1',Z_319) ),
inference(splitRight,[status(thm)],[c_7970]) ).
tff(c_8590,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_8223]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_8597,plain,
( distinct_points('#skF_4','#skF_4')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_8590,c_14]) ).
tff(c_8609,plain,
distinct_points('#skF_4','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8597]) ).
tff(c_8611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8609]) ).
tff(c_8624,plain,
! [Z_340] :
( apart_point_and_line('#skF_4',Z_340)
| apart_point_and_line('#skF_3',Z_340)
| apart_point_and_line('#skF_1',Z_340) ),
inference(splitRight,[status(thm)],[c_8223]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_8646,plain,
( apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_8624,c_32]) ).
tff(c_8658,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_30,c_8646]) ).
tff(c_8668,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_8658,c_16]) ).
tff(c_8680,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8668]) ).
tff(c_8682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8680]) ).
tff(c_8683,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_8715,plain,
! [X_349,Z_350,Y_351] :
( apart_point_and_line(X_349,Z_350)
| distinct_lines(Y_351,Z_350)
| ~ apart_point_and_line(X_349,Y_351) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_8718,plain,
! [Z_350] :
( apart_point_and_line('#skF_2',Z_350)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_350) ),
inference(resolution,[status(thm)],[c_8683,c_8715]) ).
tff(c_9758,plain,
! [Y_419,V_420,U_421,X_422] :
( apart_point_and_line(Y_419,V_420)
| apart_point_and_line(Y_419,U_421)
| apart_point_and_line(X_422,V_420)
| apart_point_and_line(X_422,U_421)
| ~ distinct_lines(U_421,V_420)
| ~ distinct_points(X_422,Y_419) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_15779,plain,
! [Y_619,Z_620,X_621] :
( apart_point_and_line(Y_619,Z_620)
| apart_point_and_line(Y_619,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line(X_621,Z_620)
| apart_point_and_line(X_621,line_connecting('#skF_3','#skF_4'))
| ~ distinct_points(X_621,Y_619)
| apart_point_and_line('#skF_2',Z_620) ),
inference(resolution,[status(thm)],[c_8718,c_9758]) ).
tff(c_16623,plain,
! [Z_620] :
( apart_point_and_line('#skF_4',Z_620)
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',Z_620)
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_2',Z_620) ),
inference(resolution,[status(thm)],[c_36,c_15779]) ).
tff(c_16900,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_16623]) ).
tff(c_16907,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_16900,c_16]) ).
tff(c_16919,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_16907]) ).
tff(c_16921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_16919]) ).
tff(c_16922,plain,
! [Z_620] :
( apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',Z_620)
| apart_point_and_line('#skF_3',Z_620)
| apart_point_and_line('#skF_2',Z_620) ),
inference(splitRight,[status(thm)],[c_16623]) ).
tff(c_17485,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_16922]) ).
tff(c_17495,plain,
( distinct_points('#skF_4','#skF_4')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_17485,c_14]) ).
tff(c_17507,plain,
distinct_points('#skF_4','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_17495]) ).
tff(c_17509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_17507]) ).
tff(c_17522,plain,
! [Z_646] :
( apart_point_and_line('#skF_4',Z_646)
| apart_point_and_line('#skF_3',Z_646)
| apart_point_and_line('#skF_2',Z_646) ),
inference(splitRight,[status(thm)],[c_16922]) ).
tff(c_24,plain,
! [Z_25,Y_24,X_23] :
( apart_point_and_line(Z_25,Y_24)
| distinct_points(X_23,Z_25)
| ~ apart_point_and_line(X_23,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_17562,plain,
! [Z_647,Z_648] :
( apart_point_and_line(Z_647,Z_648)
| distinct_points('#skF_2',Z_647)
| apart_point_and_line('#skF_4',Z_648)
| apart_point_and_line('#skF_3',Z_648) ),
inference(resolution,[status(thm)],[c_17522,c_24]) ).
tff(c_17623,plain,
! [Z_647] :
( apart_point_and_line(Z_647,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_647)
| apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_17562,c_32]) ).
tff(c_17648,plain,
! [Z_649] :
( apart_point_and_line(Z_649,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_649) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_17623]) ).
tff(c_17666,plain,
! [Z_649] :
( distinct_points(Z_649,'#skF_2')
| ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2',Z_649) ),
inference(resolution,[status(thm)],[c_17648,c_14]) ).
tff(c_17686,plain,
! [Z_649] :
( distinct_points(Z_649,'#skF_2')
| distinct_points('#skF_2',Z_649) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_17666]) ).
tff(c_17705,plain,
distinct_points('#skF_2','#skF_2'),
inference(factorization,[status(thm),theory(equality)],[c_17686]) ).
tff(c_17709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_17705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % 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
% 0.16/0.34 % Computer : n002.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Fri Aug 4 01:02:31 EDT 2023
% 0.16/0.34 % CPUTime :
% 12.73/4.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/4.28
% 12.82/4.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.82/4.31
% 12.82/4.31 Inference rules
% 12.82/4.31 ----------------------
% 12.82/4.31 #Ref : 0
% 12.82/4.31 #Sup : 2464
% 12.82/4.31 #Fact : 1034
% 12.82/4.31 #Define : 0
% 12.82/4.31 #Split : 5
% 12.82/4.31 #Chain : 0
% 12.82/4.31 #Close : 0
% 12.82/4.31
% 12.82/4.31 Ordering : KBO
% 12.82/4.31
% 12.82/4.31 Simplification rules
% 12.82/4.31 ----------------------
% 12.82/4.31 #Subsume : 1187
% 12.82/4.31 #Demod : 733
% 12.82/4.31 #Tautology : 659
% 12.82/4.31 #SimpNegUnit : 379
% 12.82/4.31 #BackRed : 0
% 12.82/4.31
% 12.82/4.31 #Partial instantiations: 0
% 12.82/4.31 #Strategies tried : 1
% 12.82/4.31
% 12.82/4.31 Timing (in seconds)
% 12.82/4.31 ----------------------
% 12.82/4.31 Preprocessing : 0.49
% 12.82/4.31 Parsing : 0.27
% 12.82/4.31 CNF conversion : 0.03
% 12.82/4.31 Main loop : 2.74
% 12.82/4.31 Inferencing : 0.92
% 12.82/4.31 Reduction : 0.57
% 12.82/4.31 Demodulation : 0.34
% 12.82/4.31 BG Simplification : 0.06
% 12.82/4.31 Subsumption : 1.04
% 12.82/4.31 Abstraction : 0.07
% 12.82/4.31 MUC search : 0.00
% 12.82/4.31 Cooper : 0.00
% 12.82/4.31 Total : 3.29
% 12.82/4.31 Index Insertion : 0.00
% 12.82/4.32 Index Deletion : 0.00
% 12.82/4.32 Index Matching : 0.00
% 12.82/4.32 BG Taut test : 0.00
%------------------------------------------------------------------------------