TSTP Solution File: GEO042-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO042-2 : 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 : n028.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 10:38:00 EDT 2023
% Result : Unsatisfiable 4.29s 2.27s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 44 ( 17 unt; 14 typ; 0 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 59 (; 59 !; 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_225,axiom,
~ between(u,v,w),
file(unknown,unknown) ).
tff(f_222,axiom,
between(u,v,x),
file(unknown,unknown) ).
tff(f_223,axiom,
between(v,w,x),
file(unknown,unknown) ).
tff(f_117,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_126,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
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_75,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(c_42,plain,
~ between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_38,plain,
between(u,v,x),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_40,plain,
between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_97,plain,
! [V_104,Y_100,W_103,U_101,X_102] :
( between(V_104,inner_pasch(U_101,V_104,W_103,X_102,Y_100),Y_100)
| ~ between(Y_100,X_102,W_103)
| ~ between(U_101,V_104,W_103) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_1196,plain,
! [U_316,Y_317,W_318,X_319] :
( ( inner_pasch(U_316,Y_317,W_318,X_319,Y_317) = Y_317 )
| ~ between(Y_317,X_319,W_318)
| ~ between(U_316,Y_317,W_318) ),
inference(resolution,[status(thm)],[c_97,c_14]) ).
tff(c_1225,plain,
! [U_321] :
( ( inner_pasch(U_321,v,x,w,v) = v )
| ~ between(U_321,v,x) ),
inference(resolution,[status(thm)],[c_40,c_1196]) ).
tff(c_1229,plain,
inner_pasch(u,v,x,w,v) = v,
inference(resolution,[status(thm)],[c_38,c_1225]) ).
tff(c_18,plain,
! [V_39,W_35,U_36,X_37,Y_38] :
( between(X_37,inner_pasch(U_36,V_39,W_35,X_37,Y_38),U_36)
| ~ between(Y_38,X_37,W_35)
| ~ between(U_36,V_39,W_35) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_1233,plain,
( between(w,v,u)
| ~ between(v,w,x)
| ~ between(u,v,x) ),
inference(superposition,[status(thm),theory(equality)],[c_1229,c_18]) ).
tff(c_1240,plain,
between(w,v,u),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_40,c_1233]) ).
tff(c_53,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_59,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_53,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_68,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_59,c_8]) ).
tff(c_1329,plain,
! [U_327,X_328,Y_329] :
( ( inner_pasch(U_327,X_328,Y_329,Y_329,X_328) = X_328 )
| ~ between(U_327,X_328,Y_329) ),
inference(resolution,[status(thm)],[c_68,c_1196]) ).
tff(c_1350,plain,
inner_pasch(w,v,u,u,v) = v,
inference(resolution,[status(thm)],[c_1240,c_1329]) ).
tff(c_1547,plain,
( between(u,v,w)
| ~ between(v,u,u)
| ~ between(w,v,u) ),
inference(superposition,[status(thm),theory(equality)],[c_1350,c_18]) ).
tff(c_1554,plain,
between(u,v,w),
inference(demodulation,[status(thm),theory(equality)],[c_1240,c_68,c_1547]) ).
tff(c_1556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_1554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO042-2 : 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 4 00:32:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.29/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/2.28
% 4.29/2.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.81/2.31
% 4.81/2.31 Inference rules
% 4.81/2.31 ----------------------
% 4.81/2.31 #Ref : 0
% 4.81/2.31 #Sup : 360
% 4.81/2.31 #Fact : 0
% 4.81/2.31 #Define : 0
% 4.81/2.31 #Split : 0
% 4.81/2.31 #Chain : 0
% 4.81/2.31 #Close : 0
% 4.81/2.31
% 4.81/2.31 Ordering : KBO
% 4.81/2.31
% 4.81/2.31 Simplification rules
% 4.81/2.31 ----------------------
% 4.81/2.31 #Subsume : 6
% 4.81/2.31 #Demod : 257
% 4.81/2.31 #Tautology : 164
% 4.81/2.31 #SimpNegUnit : 1
% 4.81/2.31 #BackRed : 0
% 4.81/2.31
% 4.81/2.31 #Partial instantiations: 0
% 4.81/2.31 #Strategies tried : 1
% 4.81/2.31
% 4.81/2.31 Timing (in seconds)
% 4.81/2.31 ----------------------
% 4.81/2.31 Preprocessing : 0.52
% 4.81/2.31 Parsing : 0.31
% 4.81/2.31 CNF conversion : 0.03
% 4.81/2.31 Main loop : 0.64
% 4.81/2.31 Inferencing : 0.24
% 4.81/2.31 Reduction : 0.19
% 4.81/2.31 Demodulation : 0.14
% 4.81/2.31 BG Simplification : 0.03
% 4.81/2.31 Subsumption : 0.14
% 4.81/2.31 Abstraction : 0.03
% 4.81/2.31 MUC search : 0.00
% 4.81/2.31 Cooper : 0.00
% 4.81/2.31 Total : 1.21
% 4.81/2.31 Index Insertion : 0.00
% 4.81/2.31 Index Deletion : 0.00
% 4.81/2.31 Index Matching : 0.00
% 4.81/2.31 BG Taut test : 0.00
%------------------------------------------------------------------------------