TSTP Solution File: GEO006-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 : n017.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 10:37:51 EDT 2023
% Result : Unsatisfiable 4.26s 2.29s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 57 ( 23 unt; 13 typ; 0 def)
% Number of atoms : 75 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 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 : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > outer_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > d > c > a
%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(a,type,
a: $i ).
tff(outer_pasch,type,
outer_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_227,axiom,
c != d,
file(unknown,unknown) ).
tff(f_168,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_166,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_223,axiom,
a != c,
file(unknown,unknown) ).
tff(f_231,axiom,
( between(c,a,d)
| between(a,d,c) ),
file(unknown,unknown) ).
tff(f_228,axiom,
between(a,c,d),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y,V,Z] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V)
| between(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(X,outer_pasch(W,X,Y,Z,V),Y) ),
file(unknown,unknown) ).
tff(f_112,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(Z,W,outer_pasch(W,X,Y,Z,V)) ),
file(unknown,unknown) ).
tff(c_46,plain,
d != c,
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_139,plain,
! [Y_117,X_118,W_119,V_120] : equidistant(Y_117,extension(X_118,Y_117,W_119,V_120),W_119,V_120),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_10,plain,
! [Y_14,X_13,Z_15] :
( ( Y_14 = X_13 )
| ~ equidistant(X_13,Y_14,Z_15,Z_15) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_155,plain,
! [X_125,Y_126,V_127] : ( extension(X_125,Y_126,V_127,V_127) = Y_126 ),
inference(resolution,[status(thm)],[c_139,c_10]) ).
tff(c_26,plain,
! [X_55,Y_56,W_57,V_58] : between(X_55,Y_56,extension(X_55,Y_56,W_57,V_58)),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_164,plain,
! [X_125,Y_126] : between(X_125,Y_126,Y_126),
inference(superposition,[status(thm),theory(equality)],[c_155,c_26]) ).
tff(c_42,plain,
c != a,
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_50,plain,
( between(a,d,c)
| between(c,a,d) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_60,plain,
between(c,a,d),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_48,plain,
between(a,c,d),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_83,plain,
! [X_98,Y_99,Z_100,V_101] :
( between(X_98,Y_99,Z_100)
| ~ between(Y_99,Z_100,V_101)
| ~ between(X_98,Y_99,V_101) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_109,plain,
! [X_106] :
( between(X_106,a,c)
| ~ between(X_106,a,d) ),
inference(resolution,[status(thm)],[c_48,c_83]) ).
tff(c_113,plain,
between(c,a,c),
inference(resolution,[status(thm)],[c_60,c_109]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( ( Y_2 = X_1 )
| ~ between(X_1,Y_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_128,plain,
c = a,
inference(resolution,[status(thm)],[c_113,c_2]) ).
tff(c_135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_128]) ).
tff(c_136,plain,
between(a,d,c),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_273,plain,
! [V_159,Y_161,W_163,X_160,Z_162] :
( between(X_160,outer_pasch(W_163,X_160,Y_161,Z_162,V_159),Y_161)
| ~ between(Y_161,V_159,Z_162)
| ~ between(X_160,W_163,V_159) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1184,plain,
! [W_341,Y_342,Z_343,V_344] :
( ( outer_pasch(W_341,Y_342,Y_342,Z_343,V_344) = Y_342 )
| ~ between(Y_342,V_344,Z_343)
| ~ between(Y_342,W_341,V_344) ),
inference(resolution,[status(thm)],[c_273,c_2]) ).
tff(c_1221,plain,
! [W_345] :
( ( outer_pasch(W_345,a,a,c,d) = a )
| ~ between(a,W_345,d) ),
inference(resolution,[status(thm)],[c_136,c_1184]) ).
tff(c_1245,plain,
outer_pasch(d,a,a,c,d) = a,
inference(resolution,[status(thm)],[c_164,c_1221]) ).
tff(c_16,plain,
! [W_27,Z_28,X_29,V_31,Y_30] :
( between(Z_28,W_27,outer_pasch(W_27,X_29,Y_30,Z_28,V_31))
| ~ between(Y_30,V_31,Z_28)
| ~ between(X_29,W_27,V_31) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1253,plain,
( between(c,d,a)
| ~ between(a,d,c)
| ~ between(a,d,d) ),
inference(superposition,[status(thm),theory(equality)],[c_1245,c_16]) ).
tff(c_1259,plain,
between(c,d,a),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_136,c_1253]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_6,V_5] :
( between(X_3,Y_4,Z_6)
| ~ between(Y_4,Z_6,V_5)
| ~ between(X_3,Y_4,V_5) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1303,plain,
! [X_346] :
( between(X_346,c,d)
| ~ between(X_346,c,a) ),
inference(resolution,[status(thm)],[c_1259,c_4]) ).
tff(c_1321,plain,
( ( d = c )
| ~ between(d,c,a) ),
inference(resolution,[status(thm)],[c_1303,c_2]) ).
tff(c_1331,plain,
~ between(d,c,a),
inference(negUnitSimplification,[status(thm)],[c_46,c_1321]) ).
tff(c_1332,plain,
! [W_347] :
( ( outer_pasch(W_347,a,a,d,c) = a )
| ~ between(a,W_347,c) ),
inference(resolution,[status(thm)],[c_48,c_1184]) ).
tff(c_1352,plain,
outer_pasch(c,a,a,d,c) = a,
inference(resolution,[status(thm)],[c_164,c_1332]) ).
tff(c_1360,plain,
( between(d,c,a)
| ~ between(a,c,d)
| ~ between(a,c,c) ),
inference(superposition,[status(thm),theory(equality)],[c_1352,c_16]) ).
tff(c_1366,plain,
between(d,c,a),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_48,c_1360]) ).
tff(c_1368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1331,c_1366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.15/0.14 % 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
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 23:41:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.26/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.26/2.30
% 4.26/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.26/2.33
% 4.26/2.33 Inference rules
% 4.26/2.33 ----------------------
% 4.26/2.33 #Ref : 0
% 4.26/2.33 #Sup : 311
% 4.26/2.33 #Fact : 2
% 4.26/2.33 #Define : 0
% 4.26/2.33 #Split : 2
% 4.26/2.33 #Chain : 0
% 4.26/2.33 #Close : 0
% 4.26/2.33
% 4.26/2.33 Ordering : KBO
% 4.26/2.33
% 4.26/2.33 Simplification rules
% 4.26/2.33 ----------------------
% 4.26/2.33 #Subsume : 6
% 4.26/2.33 #Demod : 161
% 4.26/2.33 #Tautology : 121
% 4.26/2.33 #SimpNegUnit : 10
% 4.26/2.33 #BackRed : 0
% 4.26/2.33
% 4.26/2.33 #Partial instantiations: 0
% 4.26/2.33 #Strategies tried : 1
% 4.26/2.33
% 4.26/2.33 Timing (in seconds)
% 4.26/2.33 ----------------------
% 5.16/2.34 Preprocessing : 0.50
% 5.16/2.34 Parsing : 0.27
% 5.16/2.34 CNF conversion : 0.03
% 5.16/2.34 Main loop : 0.64
% 5.16/2.34 Inferencing : 0.24
% 5.16/2.34 Reduction : 0.18
% 5.16/2.34 Demodulation : 0.13
% 5.16/2.34 BG Simplification : 0.03
% 5.16/2.34 Subsumption : 0.15
% 5.16/2.34 Abstraction : 0.03
% 5.16/2.34 MUC search : 0.00
% 5.16/2.34 Cooper : 0.00
% 5.16/2.34 Total : 1.19
% 5.16/2.34 Index Insertion : 0.00
% 5.16/2.34 Index Deletion : 0.00
% 5.16/2.34 Index Matching : 0.00
% 5.16/2.34 BG Taut test : 0.00
%------------------------------------------------------------------------------