TSTP Solution File: GEO025-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n009.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 10:37:57 EDT 2023
% Result : Unsatisfiable 64.56s 48.82s
% Output : CNFRefutation 64.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 70 ( 32 unt; 16 typ; 0 def)
% Number of atoms : 106 ( 10 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 101 ( 49 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 7 >; 25 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-6 aty)
% Number of variables : 128 (; 128 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > w1 > w > v1 > v > u1 > 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(w1,type,
w1: $i ).
tff(u1,type,
u1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $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(v1,type,
v1: $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_227,axiom,
~ equidistant(u,w,u1,w1),
file(unknown,unknown) ).
tff(f_78,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_222,axiom,
equidistant(u,v,u1,v1),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file(unknown,unknown) ).
tff(f_65,axiom,
! [W,Z,X,Y,V,V2] :
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W)
| equidistant(Z,V,V2,W) ),
file(unknown,unknown) ).
tff(f_223,axiom,
equidistant(v,w,v1,w1),
file(unknown,unknown) ).
tff(f_224,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_225,axiom,
between(u1,v1,w1),
file(unknown,unknown) ).
tff(f_101,axiom,
! [Y1,Z,X1,V1,X,Y,V,Z1] :
( ~ equidistant(X,Y,X1,Y1)
| ~ equidistant(Y,Z,Y1,Z1)
| ~ equidistant(X,V,X1,V1)
| ~ equidistant(Y,V,Y1,V1)
| ~ between(X,Y,Z)
| ~ between(X1,Y1,Z1)
| ( X = Y )
| equidistant(Z,V,Z1,V1) ),
file(unknown,unknown) ).
tff(c_46,plain,
~ equidistant(u,w,u1,w1),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_57,plain,
! [Y_83,X_84,W_85,V_86] : equidistant(Y_83,extension(X_84,Y_83,W_85,V_86),W_85,V_86),
inference(cnfTransformation,[status(thm)],[f_78]) ).
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_71]) ).
tff(c_63,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_57,c_6]) ).
tff(c_10,plain,
! [Y_16,X_17,W_18,V_19] : equidistant(Y_16,extension(X_17,Y_16,W_18,V_19),W_18,V_19),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_69,plain,
! [Y_88,V_89] : equidistant(Y_88,Y_88,V_89,V_89),
inference(superposition,[status(thm),theory(equality)],[c_63,c_10]) ).
tff(c_38,plain,
equidistant(u,v,u1,v1),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_2,plain,
! [X_1,Y_2] : equidistant(X_1,Y_2,Y_2,X_1),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_85,plain,
! [X_97,W_96,V2_93,Y_95,Z_94,V_92] :
( equidistant(Z_94,V_92,V2_93,W_96)
| ~ equidistant(X_97,Y_95,V2_93,W_96)
| ~ equidistant(X_97,Y_95,Z_94,V_92) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_107,plain,
! [Z_100,V_101,Y_102,X_103] :
( equidistant(Z_100,V_101,Y_102,X_103)
| ~ equidistant(X_103,Y_102,Z_100,V_101) ),
inference(resolution,[status(thm)],[c_2,c_85]) ).
tff(c_123,plain,
equidistant(u1,v1,v,u),
inference(resolution,[status(thm)],[c_38,c_107]) ).
tff(c_95,plain,
! [Z_94,V_92,Y_2,X_1] :
( equidistant(Z_94,V_92,Y_2,X_1)
| ~ equidistant(X_1,Y_2,Z_94,V_92) ),
inference(resolution,[status(thm)],[c_2,c_85]) ).
tff(c_148,plain,
equidistant(v,u,v1,u1),
inference(resolution,[status(thm)],[c_123,c_95]) ).
tff(c_40,plain,
equidistant(v,w,v1,w1),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_42,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_44,plain,
between(u1,v1,w1),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_552,plain,
! [Z1_190,V_192,V1_196,X_195,Y1_193,Y_197,X1_194,Z_191] :
( equidistant(Z_191,V_192,Z1_190,V1_196)
| ( Y_197 = X_195 )
| ~ between(X1_194,Y1_193,Z1_190)
| ~ between(X_195,Y_197,Z_191)
| ~ equidistant(Y_197,V_192,Y1_193,V1_196)
| ~ equidistant(X_195,V_192,X1_194,V1_196)
| ~ equidistant(Y_197,Z_191,Y1_193,Z1_190)
| ~ equidistant(X_195,Y_197,X1_194,Y1_193) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_1673,plain,
! [V1_309,X_308,Z_310,V_311,Y_307] :
( equidistant(Z_310,V_311,w1,V1_309)
| ( Y_307 = X_308 )
| ~ between(X_308,Y_307,Z_310)
| ~ equidistant(Y_307,V_311,v1,V1_309)
| ~ equidistant(X_308,V_311,u1,V1_309)
| ~ equidistant(Y_307,Z_310,v1,w1)
| ~ equidistant(X_308,Y_307,u1,v1) ),
inference(resolution,[status(thm)],[c_44,c_552]) ).
tff(c_1691,plain,
! [V_311,V1_309] :
( equidistant(w,V_311,w1,V1_309)
| ( v = u )
| ~ equidistant(v,V_311,v1,V1_309)
| ~ equidistant(u,V_311,u1,V1_309)
| ~ equidistant(v,w,v1,w1)
| ~ equidistant(u,v,u1,v1) ),
inference(resolution,[status(thm)],[c_42,c_1673]) ).
tff(c_1704,plain,
! [V_311,V1_309] :
( equidistant(w,V_311,w1,V1_309)
| ( v = u )
| ~ equidistant(v,V_311,v1,V1_309)
| ~ equidistant(u,V_311,u1,V1_309) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_40,c_1691]) ).
tff(c_4525,plain,
v = u,
inference(splitLeft,[status(thm)],[c_1704]) ).
tff(c_4639,plain,
equidistant(u1,v1,u,u),
inference(demodulation,[status(thm),theory(equality)],[c_4525,c_123]) ).
tff(c_4733,plain,
v1 = u1,
inference(resolution,[status(thm)],[c_4639,c_6]) ).
tff(c_4640,plain,
equidistant(u,w,v1,w1),
inference(demodulation,[status(thm),theory(equality)],[c_4525,c_40]) ).
tff(c_4736,plain,
equidistant(u,w,u1,w1),
inference(demodulation,[status(thm),theory(equality)],[c_4733,c_4640]) ).
tff(c_4759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_4736]) ).
tff(c_4762,plain,
! [V_531,V1_532] :
( equidistant(w,V_531,w1,V1_532)
| ~ equidistant(v,V_531,v1,V1_532)
| ~ equidistant(u,V_531,u1,V1_532) ),
inference(splitRight,[status(thm)],[c_1704]) ).
tff(c_4,plain,
! [V2_8,V_7,Z_4,Y_6,W_3,X_5] :
( equidistant(Z_4,V_7,V2_8,W_3)
| ~ equidistant(X_5,Y_6,V2_8,W_3)
| ~ equidistant(X_5,Y_6,Z_4,V_7) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_136184,plain,
! [Z_4159,V_4160,V1_4161,V_4162] :
( equidistant(Z_4159,V_4160,w1,V1_4161)
| ~ equidistant(w,V_4162,Z_4159,V_4160)
| ~ equidistant(v,V_4162,v1,V1_4161)
| ~ equidistant(u,V_4162,u1,V1_4161) ),
inference(resolution,[status(thm)],[c_4762,c_4]) ).
tff(c_136877,plain,
! [Y_4163,V1_4164] :
( equidistant(Y_4163,w,w1,V1_4164)
| ~ equidistant(v,Y_4163,v1,V1_4164)
| ~ equidistant(u,Y_4163,u1,V1_4164) ),
inference(resolution,[status(thm)],[c_2,c_136184]) ).
tff(c_137127,plain,
( equidistant(u,w,w1,u1)
| ~ equidistant(u,u,u1,u1) ),
inference(resolution,[status(thm)],[c_148,c_136877]) ).
tff(c_137224,plain,
equidistant(u,w,w1,u1),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_137127]) ).
tff(c_188,plain,
! [W_116,V_117,X_118,Y_119] : equidistant(W_116,V_117,extension(X_118,Y_119,W_116,V_117),Y_119),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_3528,plain,
! [Z_466,V_465,W_469,X_468,V_464,Y_467] :
( equidistant(Z_466,V_464,extension(X_468,Y_467,W_469,V_465),Y_467)
| ~ equidistant(W_469,V_465,Z_466,V_464) ),
inference(resolution,[status(thm)],[c_188,c_4]) ).
tff(c_20808,plain,
! [V_1582,X_1579,W_1583,Z_1580,Y_1581,V_1584] :
( equidistant(extension(X_1579,Y_1581,W_1583,V_1582),Y_1581,V_1584,Z_1580)
| ~ equidistant(W_1583,V_1582,Z_1580,V_1584) ),
inference(resolution,[status(thm)],[c_3528,c_95]) ).
tff(c_762,plain,
! [Z_213,V_210,Y_212,X_215,V_211,W_214] :
( equidistant(Z_213,V_211,W_214,V_210)
| ~ equidistant(Y_212,extension(X_215,Y_212,W_214,V_210),Z_213,V_211) ),
inference(resolution,[status(thm)],[c_10,c_85]) ).
tff(c_817,plain,
! [X_216,X_217,W_218,V_219] : equidistant(extension(X_216,X_217,W_218,V_219),X_217,W_218,V_219),
inference(resolution,[status(thm)],[c_2,c_762]) ).
tff(c_834,plain,
! [V_219,X_217,W_218,V_7,Z_4,X_216] :
( equidistant(Z_4,V_7,W_218,V_219)
| ~ equidistant(extension(X_216,X_217,W_218,V_219),X_217,Z_4,V_7) ),
inference(resolution,[status(thm)],[c_817,c_4]) ).
tff(c_20921,plain,
! [V_1584,Z_1580,W_1583,V_1582] :
( equidistant(V_1584,Z_1580,W_1583,V_1582)
| ~ equidistant(W_1583,V_1582,Z_1580,V_1584) ),
inference(resolution,[status(thm)],[c_20808,c_834]) ).
tff(c_137244,plain,
equidistant(u1,w1,u,w),
inference(resolution,[status(thm)],[c_137224,c_20921]) ).
tff(c_124,plain,
! [Y_104,X_105] : equidistant(Y_104,X_105,Y_104,X_105),
inference(resolution,[status(thm)],[c_2,c_107]) ).
tff(c_135,plain,
! [Z_4,V_7,Y_104,X_105] :
( equidistant(Z_4,V_7,Y_104,X_105)
| ~ equidistant(Y_104,X_105,Z_4,V_7) ),
inference(resolution,[status(thm)],[c_124,c_4]) ).
tff(c_137257,plain,
equidistant(u,w,u1,w1),
inference(resolution,[status(thm)],[c_137244,c_135]) ).
tff(c_137268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_137257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:38:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 64.56/48.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.66/48.83
% 64.66/48.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 64.66/48.87
% 64.66/48.87 Inference rules
% 64.66/48.87 ----------------------
% 64.66/48.87 #Ref : 0
% 64.66/48.87 #Sup : 29710
% 64.66/48.87 #Fact : 0
% 64.66/48.87 #Define : 0
% 64.66/48.87 #Split : 24
% 64.66/48.87 #Chain : 0
% 64.66/48.87 #Close : 0
% 64.66/48.87
% 64.66/48.87 Ordering : KBO
% 64.66/48.87
% 64.66/48.87 Simplification rules
% 64.66/48.87 ----------------------
% 64.66/48.87 #Subsume : 5437
% 64.66/48.87 #Demod : 21576
% 64.66/48.87 #Tautology : 8027
% 64.66/48.87 #SimpNegUnit : 1438
% 64.66/48.87 #BackRed : 259
% 64.66/48.87
% 64.66/48.87 #Partial instantiations: 0
% 64.66/48.87 #Strategies tried : 1
% 64.66/48.87
% 64.66/48.87 Timing (in seconds)
% 64.66/48.87 ----------------------
% 64.66/48.87 Preprocessing : 0.50
% 64.66/48.87 Parsing : 0.28
% 64.66/48.87 CNF conversion : 0.03
% 64.66/48.87 Main loop : 47.28
% 64.66/48.87 Inferencing : 4.07
% 64.66/48.87 Reduction : 26.67
% 64.66/48.87 Demodulation : 23.96
% 64.66/48.87 BG Simplification : 0.26
% 64.66/48.87 Subsumption : 14.74
% 64.66/48.87 Abstraction : 0.48
% 64.66/48.87 MUC search : 0.00
% 64.66/48.87 Cooper : 0.00
% 64.66/48.87 Total : 47.84
% 64.66/48.87 Index Insertion : 0.00
% 64.66/48.87 Index Deletion : 0.00
% 64.66/48.87 Index Matching : 0.00
% 64.66/48.87 BG Taut test : 0.00
%------------------------------------------------------------------------------