TSTP Solution File: GEO007-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO007-1 : 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/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 : n031.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 8.30s 3.05s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 68 ( 25 unt; 14 typ; 0 def)
% Number of atoms : 104 ( 17 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 97 ( 47 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 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 : 102 (; 102 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > outer_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > e > 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(e,type,
e: $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_229,axiom,
~ between(e,d,a),
file(unknown,unknown) ).
tff(f_227,axiom,
~ between(d,e,a),
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_225,axiom,
between(e,a,c),
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_61,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = 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(f_223,axiom,
a != c,
file(unknown,unknown) ).
tff(f_224,axiom,
between(d,a,c),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X,Y,Z,V] :
( ~ between(X,Y,Z)
| ~ between(X,Y,V)
| ( X = Y )
| between(X,Z,V)
| between(X,V,Z) ),
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(c_50,plain,
~ between(e,d,a),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_48,plain,
~ between(d,e,a),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_61,plain,
! [Y_91,X_92,W_93,V_94] : equidistant(Y_91,extension(X_92,Y_91,W_93,V_94),W_93,V_94),
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_67,plain,
! [X_95,Y_96,V_97] : ( extension(X_95,Y_96,V_97,V_97) = Y_96 ),
inference(resolution,[status(thm)],[c_61,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_76,plain,
! [X_95,Y_96] : between(X_95,Y_96,Y_96),
inference(superposition,[status(thm),theory(equality)],[c_67,c_26]) ).
tff(c_46,plain,
between(e,a,c),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_185,plain,
! [W_136,X_133,Y_134,V_132,Z_135] :
( between(X_133,outer_pasch(W_136,X_133,Y_134,Z_135,V_132),Y_134)
| ~ between(Y_134,V_132,Z_135)
| ~ between(X_133,W_136,V_132) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
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_1193,plain,
! [W_333,Y_334,Z_335,V_336] :
( ( outer_pasch(W_333,Y_334,Y_334,Z_335,V_336) = Y_334 )
| ~ between(Y_334,V_336,Z_335)
| ~ between(Y_334,W_333,V_336) ),
inference(resolution,[status(thm)],[c_185,c_2]) ).
tff(c_1233,plain,
! [W_337] :
( ( outer_pasch(W_337,e,e,c,a) = e )
| ~ between(e,W_337,a) ),
inference(resolution,[status(thm)],[c_46,c_1193]) ).
tff(c_1250,plain,
outer_pasch(a,e,e,c,a) = e,
inference(resolution,[status(thm)],[c_76,c_1233]) ).
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_1254,plain,
( between(c,a,e)
| ~ between(e,a,c)
| ~ between(e,a,a) ),
inference(superposition,[status(thm),theory(equality)],[c_1250,c_16]) ).
tff(c_1261,plain,
between(c,a,e),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_46,c_1254]) ).
tff(c_42,plain,
c != a,
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_44,plain,
between(d,a,c),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_1284,plain,
! [W_339] :
( ( outer_pasch(W_339,d,d,c,a) = d )
| ~ between(d,W_339,a) ),
inference(resolution,[status(thm)],[c_44,c_1193]) ).
tff(c_1301,plain,
outer_pasch(a,d,d,c,a) = d,
inference(resolution,[status(thm)],[c_76,c_1284]) ).
tff(c_1305,plain,
( between(c,a,d)
| ~ between(d,a,c)
| ~ between(d,a,a) ),
inference(superposition,[status(thm),theory(equality)],[c_1301,c_16]) ).
tff(c_1312,plain,
between(c,a,d),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_44,c_1305]) ).
tff(c_6,plain,
! [X_7,V_10,Z_9,Y_8] :
( between(X_7,V_10,Z_9)
| between(X_7,Z_9,V_10)
| ( Y_8 = X_7 )
| ~ between(X_7,Y_8,V_10)
| ~ between(X_7,Y_8,Z_9) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1321,plain,
! [Z_9] :
( between(c,d,Z_9)
| between(c,Z_9,d)
| ( c = a )
| ~ between(c,a,Z_9) ),
inference(resolution,[status(thm)],[c_1312,c_6]) ).
tff(c_1328,plain,
! [Z_9] :
( between(c,d,Z_9)
| between(c,Z_9,d)
| ~ between(c,a,Z_9) ),
inference(negUnitSimplification,[status(thm)],[c_42,c_1321]) ).
tff(c_66,plain,
! [X_92,Y_91,V_94] : ( extension(X_92,Y_91,V_94,V_94) = Y_91 ),
inference(resolution,[status(thm)],[c_61,c_10]) ).
tff(c_4654,plain,
! [V_563,Y_562,X_561,W_559,W_560] :
( ( outer_pasch(W_560,X_561,X_561,extension(X_561,Y_562,W_559,V_563),Y_562) = X_561 )
| ~ between(X_561,W_560,Y_562) ),
inference(resolution,[status(thm)],[c_26,c_1193]) ).
tff(c_4670,plain,
! [V_563,Y_562,X_561,W_559,W_560] :
( between(extension(X_561,Y_562,W_559,V_563),W_560,X_561)
| ~ between(X_561,Y_562,extension(X_561,Y_562,W_559,V_563))
| ~ between(X_561,W_560,Y_562)
| ~ between(X_561,W_560,Y_562) ),
inference(superposition,[status(thm),theory(equality)],[c_4654,c_16]) ).
tff(c_4700,plain,
! [Y_568,W_566,W_564,X_567,V_565] :
( between(extension(X_567,Y_568,W_564,V_565),W_566,X_567)
| ~ between(X_567,W_566,Y_568) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_4670]) ).
tff(c_89,plain,
! [X_100,Y_101,Z_102,V_103] :
( between(X_100,Y_101,Z_102)
| ~ between(Y_101,Z_102,V_103)
| ~ between(X_100,Y_101,V_103) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_100,plain,
! [X_100] :
( between(X_100,e,a)
| ~ between(X_100,e,c) ),
inference(resolution,[status(thm)],[c_46,c_89]) ).
tff(c_5302,plain,
! [Y_600,W_601,V_602] :
( between(extension(c,Y_600,W_601,V_602),e,a)
| ~ between(c,e,Y_600) ),
inference(resolution,[status(thm)],[c_4700,c_100]) ).
tff(c_5331,plain,
! [Y_603] :
( between(Y_603,e,a)
| ~ between(c,e,Y_603) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_5302]) ).
tff(c_5338,plain,
( between(d,e,a)
| between(c,d,e)
| ~ between(c,a,e) ),
inference(resolution,[status(thm)],[c_1328,c_5331]) ).
tff(c_5360,plain,
( between(d,e,a)
| between(c,d,e) ),
inference(demodulation,[status(thm),theory(equality)],[c_1261,c_5338]) ).
tff(c_5361,plain,
between(c,d,e),
inference(negUnitSimplification,[status(thm)],[c_48,c_5360]) ).
tff(c_4747,plain,
! [Y_91,W_566,X_92] :
( between(Y_91,W_566,X_92)
| ~ between(X_92,W_566,Y_91) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_4700]) ).
tff(c_5672,plain,
between(e,d,c),
inference(resolution,[status(thm)],[c_5361,c_4747]) ).
tff(c_101,plain,
! [X_100] :
( between(X_100,d,a)
| ~ between(X_100,d,c) ),
inference(resolution,[status(thm)],[c_44,c_89]) ).
tff(c_5695,plain,
between(e,d,a),
inference(resolution,[status(thm)],[c_5672,c_101]) ).
tff(c_5709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50,c_5695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n031.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 : Fri Aug 4 00:52:15 EDT 2023
% 0.15/0.37 % CPUTime :
% 8.30/3.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.30/3.07
% 8.30/3.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.64/3.11
% 8.64/3.11 Inference rules
% 8.64/3.11 ----------------------
% 8.64/3.11 #Ref : 0
% 8.64/3.11 #Sup : 1292
% 8.64/3.11 #Fact : 12
% 8.64/3.11 #Define : 0
% 8.64/3.11 #Split : 5
% 8.64/3.11 #Chain : 0
% 8.64/3.11 #Close : 0
% 8.64/3.11
% 8.64/3.11 Ordering : KBO
% 8.64/3.11
% 8.64/3.11 Simplification rules
% 8.64/3.11 ----------------------
% 8.64/3.11 #Subsume : 93
% 8.64/3.11 #Demod : 1100
% 8.64/3.11 #Tautology : 534
% 8.64/3.11 #SimpNegUnit : 42
% 8.64/3.11 #BackRed : 9
% 8.64/3.11
% 8.64/3.11 #Partial instantiations: 0
% 8.64/3.11 #Strategies tried : 1
% 8.64/3.11
% 8.64/3.11 Timing (in seconds)
% 8.64/3.11 ----------------------
% 8.64/3.12 Preprocessing : 0.52
% 8.64/3.12 Parsing : 0.28
% 8.64/3.12 CNF conversion : 0.03
% 8.64/3.12 Main loop : 1.45
% 8.64/3.12 Inferencing : 0.49
% 8.64/3.12 Reduction : 0.48
% 8.64/3.12 Demodulation : 0.38
% 8.64/3.12 BG Simplification : 0.05
% 8.64/3.12 Subsumption : 0.35
% 8.64/3.12 Abstraction : 0.05
% 8.64/3.12 MUC search : 0.00
% 8.64/3.12 Cooper : 0.00
% 8.64/3.12 Total : 2.05
% 8.64/3.12 Index Insertion : 0.00
% 8.64/3.12 Index Deletion : 0.00
% 8.64/3.12 Index Matching : 0.00
% 8.64/3.12 BG Taut test : 0.00
%------------------------------------------------------------------------------