TSTP Solution File: GEO034-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n004.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 10:37:58 EDT 2023
% Result : Unsatisfiable 239.02s 200.55s
% Output : CNFRefutation 239.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 65 ( 24 unt; 15 typ; 0 def)
% Number of atoms : 115 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 132 ( 67 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 121 (; 121 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > x > w > v > u > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(u,type,
u: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(v,type,
v: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_570,axiom,
v != x,
file(unknown,unknown) ).
tff(f_384,axiom,
! [U,V] : between(U,U,V),
file(unknown,unknown) ).
tff(f_567,axiom,
equidistant(u,v,u,x),
file(unknown,unknown) ).
tff(f_367,axiom,
! [U,V] : ( U = reflection(reflection(U,V),V) ),
file(unknown,unknown) ).
tff(f_365,axiom,
! [V,U] : equidistant(V,U,V,reflection(reflection(U,V),V)),
file(unknown,unknown) ).
tff(f_568,axiom,
equidistant(w,v,w,x),
file(unknown,unknown) ).
tff(f_545,axiom,
! [W,U,W1,V1,U1,V] :
( ~ between(U,V,W)
| ~ between(U1,V1,W1)
| ~ equidistant(U,V,U1,V1)
| ~ equidistant(U,W,U1,W1)
| equidistant(V,W,V1,W1) ),
file(unknown,unknown) ).
tff(f_566,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_531,axiom,
! [W,U,W1,X1,V1,U1,X,V] :
( ~ equidistant(U,V,U1,V1)
| ~ equidistant(U,W,U1,W1)
| ~ equidistant(U,X,U1,X1)
| ~ equidistant(W,X,W1,X1)
| ~ between(U,V,W)
| ~ between(U1,V1,W1)
| equidistant(V,X,V1,X1) ),
file(unknown,unknown) ).
tff(f_304,axiom,
! [V,U] : equidistant(V,reflection(U,V),U,V),
file(unknown,unknown) ).
tff(f_293,axiom,
! [W,U,Z,X,Y,V] :
( ~ equidistant(U,V,W,X)
| ~ equidistant(W,X,Y,Z)
| equidistant(U,V,Y,Z) ),
file(unknown,unknown) ).
tff(f_369,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_302,axiom,
! [U,V] : between(U,V,reflection(U,V)),
file(unknown,unknown) ).
tff(f_436,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(V,W,X) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(c_144,plain,
x != v,
inference(cnfTransformation,[status(thm)],[f_570]) ).
tff(c_94,plain,
! [U_163,V_164] : between(U_163,U_163,V_164),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_140,plain,
equidistant(u,v,u,x),
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_86,plain,
! [U_152,V_153] : ( reflection(reflection(U_152,V_153),V_153) = U_152 ),
inference(cnfTransformation,[status(thm)],[f_367]) ).
tff(c_84,plain,
! [V_150,U_151] : equidistant(V_150,U_151,V_150,reflection(reflection(U_151,V_150),V_150)),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_145,plain,
! [V_150,U_151] : equidistant(V_150,U_151,V_150,U_151),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_84]) ).
tff(c_142,plain,
equidistant(w,v,w,x),
inference(cnfTransformation,[status(thm)],[f_568]) ).
tff(c_2553,plain,
! [U_434,V1_438,W_436,U1_433,V_435,W1_437] :
( equidistant(V_435,W_436,V1_438,W1_437)
| ~ equidistant(U_434,W_436,U1_433,W1_437)
| ~ equidistant(U_434,V_435,U1_433,V1_438)
| ~ between(U1_433,V1_438,W1_437)
| ~ between(U_434,V_435,W_436) ),
inference(cnfTransformation,[status(thm)],[f_545]) ).
tff(c_16372,plain,
! [V_848,V1_849] :
( equidistant(V_848,v,V1_849,x)
| ~ equidistant(w,V_848,w,V1_849)
| ~ between(w,V1_849,x)
| ~ between(w,V_848,v) ),
inference(resolution,[status(thm)],[c_142,c_2553]) ).
tff(c_16494,plain,
! [U_151] :
( equidistant(U_151,v,U_151,x)
| ~ between(w,U_151,x)
| ~ between(w,U_151,v) ),
inference(resolution,[status(thm)],[c_145,c_16372]) ).
tff(c_138,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_566]) ).
tff(c_3644,plain,
! [W_517,U1_518,X_513,V1_514,X1_515,U_511,V_512,W1_516] :
( equidistant(V_512,X_513,V1_514,X1_515)
| ~ between(U1_518,V1_514,W1_516)
| ~ between(U_511,V_512,W_517)
| ~ equidistant(W_517,X_513,W1_516,X1_515)
| ~ equidistant(U_511,X_513,U1_518,X1_515)
| ~ equidistant(U_511,W_517,U1_518,W1_516)
| ~ equidistant(U_511,V_512,U1_518,V1_514) ),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_43093,plain,
! [X_1426,U_1425,W_1427,V_1428,X1_1424] :
( equidistant(V_1428,X_1426,v,X1_1424)
| ~ between(U_1425,V_1428,W_1427)
| ~ equidistant(W_1427,X_1426,w,X1_1424)
| ~ equidistant(U_1425,X_1426,u,X1_1424)
| ~ equidistant(U_1425,W_1427,u,w)
| ~ equidistant(U_1425,V_1428,u,v) ),
inference(resolution,[status(thm)],[c_138,c_3644]) ).
tff(c_43391,plain,
! [X_1426,X1_1424] :
( equidistant(v,X_1426,v,X1_1424)
| ~ equidistant(w,X_1426,w,X1_1424)
| ~ equidistant(u,X_1426,u,X1_1424)
| ~ equidistant(u,w,u,w)
| ~ equidistant(u,v,u,v) ),
inference(resolution,[status(thm)],[c_138,c_43093]) ).
tff(c_327194,plain,
! [X_3866,X1_3867] :
( equidistant(v,X_3866,v,X1_3867)
| ~ equidistant(w,X_3866,w,X1_3867)
| ~ equidistant(u,X_3866,u,X1_3867) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_145,c_43391]) ).
tff(c_327258,plain,
( equidistant(v,v,v,x)
| ~ equidistant(u,v,u,x)
| ~ between(w,w,x)
| ~ between(w,w,v) ),
inference(resolution,[status(thm)],[c_16494,c_327194]) ).
tff(c_327572,plain,
equidistant(v,v,v,x),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_94,c_140,c_327258]) ).
tff(c_64,plain,
! [V_120,U_121] : equidistant(V_120,reflection(U_121,V_120),U_121,V_120),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_1517,plain,
! [W_373,X_372,Z_369,V_370,U_374,Y_371] :
( equidistant(U_374,V_370,Y_371,Z_369)
| ~ equidistant(W_373,X_372,Y_371,Z_369)
| ~ equidistant(U_374,V_370,W_373,X_372) ),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_6603,plain,
! [U_591,V_592,U_593,V_594] :
( equidistant(U_591,V_592,U_593,V_594)
| ~ equidistant(U_591,V_592,V_594,reflection(U_593,V_594)) ),
inference(resolution,[status(thm)],[c_64,c_1517]) ).
tff(c_6674,plain,
! [U_591,V_592,U_152,V_153] :
( equidistant(U_591,V_592,reflection(U_152,V_153),V_153)
| ~ equidistant(U_591,V_592,V_153,U_152) ),
inference(superposition,[status(thm),theory(equality)],[c_86,c_6603]) ).
tff(c_88,plain,
! [U_154,V_155] : between(U_154,V_155,V_155),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_62,plain,
! [U_118,V_119] : between(U_118,V_119,reflection(U_118,V_119)),
inference(cnfTransformation,[status(thm)],[f_302]) ).
tff(c_1101,plain,
! [V_334,W_335,X_336,U_337] :
( between(V_334,W_335,X_336)
| ~ between(U_337,W_335,X_336)
| ~ between(U_337,V_334,W_335) ),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_1122,plain,
! [V_334,V_119,U_118] :
( between(V_334,V_119,reflection(U_118,V_119))
| ~ between(U_118,V_334,V_119) ),
inference(resolution,[status(thm)],[c_62,c_1101]) ).
tff(c_23413,plain,
! [V_993,U_994,V_995,V1_996] :
( equidistant(V_993,reflection(U_994,V_995),V1_996,V_995)
| ~ equidistant(V_995,V_993,U_994,V1_996)
| ~ between(U_994,V1_996,V_995)
| ~ between(V_995,V_993,reflection(U_994,V_995)) ),
inference(resolution,[status(thm)],[c_64,c_2553]) ).
tff(c_6,plain,
! [Y_10,X_9,Z_11] :
( ( Y_10 = X_9 )
| ~ equidistant(X_9,Y_10,Z_11,Z_11) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_23502,plain,
! [U_994,V_995,V_993] :
( ( reflection(U_994,V_995) = V_993 )
| ~ equidistant(V_995,V_993,U_994,V_995)
| ~ between(U_994,V_995,V_995)
| ~ between(V_995,V_993,reflection(U_994,V_995)) ),
inference(resolution,[status(thm)],[c_23413,c_6]) ).
tff(c_323905,plain,
! [U_3843,V_3844,V_3845] :
( ( reflection(U_3843,V_3844) = V_3845 )
| ~ equidistant(V_3844,V_3845,U_3843,V_3844)
| ~ between(V_3844,V_3845,reflection(U_3843,V_3844)) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_23502]) ).
tff(c_324481,plain,
! [U_118,V_119] :
( ( reflection(U_118,V_119) = V_119 )
| ~ equidistant(V_119,V_119,U_118,V_119)
| ~ between(U_118,V_119,V_119) ),
inference(resolution,[status(thm)],[c_1122,c_323905]) ).
tff(c_324740,plain,
! [U_3846,V_3847] :
( ( reflection(U_3846,V_3847) = V_3847 )
| ~ equidistant(V_3847,V_3847,U_3846,V_3847) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_324481]) ).
tff(c_324812,plain,
! [U_152,V_153] :
( ( reflection(reflection(U_152,V_153),V_153) = V_153 )
| ~ equidistant(V_153,V_153,V_153,U_152) ),
inference(resolution,[status(thm)],[c_6674,c_324740]) ).
tff(c_324951,plain,
! [V_153,U_152] :
( ( V_153 = U_152 )
| ~ equidistant(V_153,V_153,V_153,U_152) ),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_324812]) ).
tff(c_327676,plain,
x = v,
inference(resolution,[status(thm)],[c_327572,c_324951]) ).
tff(c_327735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144,c_327676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % 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 : n004.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 00:22:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 239.02/200.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 239.02/200.55
% 239.02/200.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 239.02/200.59
% 239.02/200.59 Inference rules
% 239.02/200.59 ----------------------
% 239.02/200.59 #Ref : 0
% 239.02/200.59 #Sup : 82985
% 239.02/200.59 #Fact : 14
% 239.02/200.59 #Define : 0
% 239.02/200.59 #Split : 82
% 239.02/200.59 #Chain : 0
% 239.02/200.59 #Close : 0
% 239.02/200.59
% 239.02/200.59 Ordering : KBO
% 239.02/200.59
% 239.02/200.59 Simplification rules
% 239.02/200.59 ----------------------
% 239.02/200.59 #Subsume : 11944
% 239.02/200.59 #Demod : 41251
% 239.02/200.59 #Tautology : 19217
% 239.02/200.59 #SimpNegUnit : 5975
% 239.02/200.59 #BackRed : 1095
% 239.02/200.59
% 239.02/200.59 #Partial instantiations: 0
% 239.02/200.59 #Strategies tried : 1
% 239.02/200.59
% 239.02/200.59 Timing (in seconds)
% 239.02/200.59 ----------------------
% 239.02/200.59 Preprocessing : 0.67
% 239.02/200.59 Parsing : 0.29
% 239.02/200.59 CNF conversion : 0.05
% 239.02/200.59 Main loop : 198.85
% 239.02/200.59 Inferencing : 12.19
% 239.02/200.59 Reduction : 101.88
% 239.02/200.59 Demodulation : 88.50
% 239.02/200.59 BG Simplification : 0.64
% 239.02/200.59 Subsumption : 62.61
% 239.02/200.59 Abstraction : 0.95
% 239.02/200.59 MUC search : 0.00
% 239.02/200.59 Cooper : 0.00
% 239.02/200.59 Total : 199.58
% 239.02/200.59 Index Insertion : 0.00
% 239.02/200.59 Index Deletion : 0.00
% 239.02/200.59 Index Matching : 0.00
% 239.02/200.59 BG Taut test : 0.00
%------------------------------------------------------------------------------