TSTP Solution File: GEO037-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO037-2 : 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/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 : n026.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 10:37:59 EDT 2023
% Result : Unsatisfiable 4.83s 2.43s
% Output : CNFRefutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 49 ( 24 unt; 14 typ; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 83 (; 83 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #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(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_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_75,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
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_228,axiom,
( ( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) )
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file(unknown,unknown) ).
tff(f_136,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file(unknown,unknown) ).
tff(c_51,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_57,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_51,c_6]) ).
tff(c_8,plain,
! [X_12,Y_13,W_14,V_15] : between(X_12,Y_13,extension(X_12,Y_13,W_14,V_15)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_66,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_57,c_8]) ).
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_2,plain,
! [X_1,Y_2] : equidistant(X_1,Y_2,Y_2,X_1),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_72,plain,
! [V_90,Y_93,Z_92,W_94,X_95,V2_91] :
( equidistant(Z_92,V_90,V2_91,W_94)
| ~ equidistant(X_95,Y_93,V2_91,W_94)
| ~ equidistant(X_95,Y_93,Z_92,V_90) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_95,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_72]) ).
tff(c_120,plain,
! [W_106,V_107,X_108,Y_109] : equidistant(W_106,V_107,extension(X_108,Y_109,W_106,V_107),Y_109),
inference(resolution,[status(thm)],[c_10,c_95]) ).
tff(c_78,plain,
! [Z_92,V_90,Y_2,X_1] :
( equidistant(Z_92,V_90,Y_2,X_1)
| ~ equidistant(X_1,Y_2,Z_92,V_90) ),
inference(resolution,[status(thm)],[c_2,c_72]) ).
tff(c_137,plain,
! [X_115,Y_116,W_117,V_118] : equidistant(extension(X_115,Y_116,W_117,V_118),Y_116,V_118,W_117),
inference(resolution,[status(thm)],[c_120,c_78]) ).
tff(c_149,plain,
! [V_118,W_117,Y_116,X_115] : equidistant(V_118,W_117,Y_116,extension(X_115,Y_116,W_117,V_118)),
inference(resolution,[status(thm)],[c_137,c_78]) ).
tff(c_154,plain,
! [V_119,W_120,Y_121,X_122] : equidistant(V_119,W_120,Y_121,extension(X_122,Y_121,W_120,V_119)),
inference(resolution,[status(thm)],[c_137,c_78]) ).
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_2061,plain,
! [V_387,Y_392,X_388,W_391,Z_390,V_389] :
( equidistant(Z_390,V_387,Y_392,extension(X_388,Y_392,W_391,V_389))
| ~ equidistant(V_389,W_391,Z_390,V_387) ),
inference(resolution,[status(thm)],[c_154,c_4]) ).
tff(c_38,plain,
( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_40,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_38]) ).
tff(c_477,plain,
~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)),
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_2082,plain,
~ equidistant(lower_dimension_point_2,lower_dimension_point_1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),
inference(resolution,[status(thm)],[c_2061,c_477]) ).
tff(c_2108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149,c_2082]) ).
tff(c_2109,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_2153,plain,
equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[status(thm),theory(equality)],[c_2109,c_10]) ).
tff(c_2176,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v),
inference(resolution,[status(thm)],[c_2153,c_78]) ).
tff(c_2191,plain,
lower_dimension_point_2 = lower_dimension_point_1,
inference(resolution,[status(thm)],[c_2176,c_6]) ).
tff(c_24,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_2197,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
inference(demodulation,[status(thm),theory(equality)],[c_2191,c_24]) ).
tff(c_2203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66,c_2197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n026.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 00:34:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.83/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.83/2.44
% 4.83/2.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.94/2.47
% 5.94/2.47 Inference rules
% 5.94/2.47 ----------------------
% 5.94/2.47 #Ref : 0
% 5.94/2.47 #Sup : 504
% 5.94/2.47 #Fact : 0
% 5.94/2.47 #Define : 0
% 5.94/2.47 #Split : 1
% 5.94/2.47 #Chain : 0
% 5.94/2.47 #Close : 0
% 5.94/2.47
% 5.94/2.47 Ordering : KBO
% 5.94/2.47
% 5.94/2.47 Simplification rules
% 5.94/2.47 ----------------------
% 5.94/2.47 #Subsume : 8
% 5.94/2.47 #Demod : 400
% 5.94/2.47 #Tautology : 265
% 5.94/2.47 #SimpNegUnit : 0
% 5.94/2.47 #BackRed : 6
% 5.94/2.47
% 5.94/2.47 #Partial instantiations: 0
% 5.94/2.47 #Strategies tried : 1
% 5.94/2.47
% 5.94/2.47 Timing (in seconds)
% 5.94/2.47 ----------------------
% 5.94/2.47 Preprocessing : 0.52
% 5.94/2.47 Parsing : 0.29
% 5.94/2.47 CNF conversion : 0.03
% 5.94/2.47 Main loop : 0.81
% 5.94/2.47 Inferencing : 0.30
% 5.94/2.47 Reduction : 0.24
% 5.94/2.47 Demodulation : 0.18
% 5.94/2.48 BG Simplification : 0.03
% 5.94/2.48 Subsumption : 0.19
% 5.94/2.48 Abstraction : 0.04
% 5.94/2.48 MUC search : 0.00
% 5.94/2.48 Cooper : 0.00
% 5.94/2.48 Total : 1.38
% 5.94/2.48 Index Insertion : 0.00
% 5.94/2.48 Index Deletion : 0.00
% 5.94/2.48 Index Matching : 0.00
% 5.94/2.48 BG Taut test : 0.00
%------------------------------------------------------------------------------