TSTP Solution File: GEO036-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO036-2 : 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 : n003.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 3.64s 1.80s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 42 ( 27 unt; 10 typ; 0 def)
% Number of atoms : 39 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > 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(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(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_226,axiom,
( ( lower_dimension_point_1 = lower_dimension_point_2 )
| ( lower_dimension_point_2 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_3 ) ),
file(unknown,unknown) ).
tff(f_136,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file(unknown,unknown) ).
tff(f_133,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file(unknown,unknown) ).
tff(f_130,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file(unknown,unknown) ).
tff(c_150,plain,
! [Y_121,X_122,W_123,V_124] : equidistant(Y_121,extension(X_122,Y_121,W_123,V_124),W_123,V_124),
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_156,plain,
! [X_125,Y_126,V_127] : ( extension(X_125,Y_126,V_127,V_127) = Y_126 ),
inference(resolution,[status(thm)],[c_150,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_165,plain,
! [X_125,Y_126] : between(X_125,Y_126,Y_126),
inference(superposition,[status(thm),theory(equality)],[c_156,c_8]) ).
tff(c_100,plain,
! [Y_99,X_100,W_101,V_102] : equidistant(Y_99,extension(X_100,Y_99,W_101,V_102),W_101,V_102),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_113,plain,
! [X_109,Y_110,V_111] : ( extension(X_109,Y_110,V_111,V_111) = Y_110 ),
inference(resolution,[status(thm)],[c_100,c_6]) ).
tff(c_122,plain,
! [X_109,Y_110] : between(X_109,Y_110,Y_110),
inference(superposition,[status(thm),theory(equality)],[c_113,c_8]) ).
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_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_72,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_63,c_8]) ).
tff(c_38,plain,
( ( lower_dimension_point_3 = lower_dimension_point_1 )
| ( lower_dimension_point_3 = lower_dimension_point_2 )
| ( lower_dimension_point_2 = lower_dimension_point_1 ) ),
inference(cnfTransformation,[status(thm)],[f_226]) ).
tff(c_40,plain,
lower_dimension_point_2 = lower_dimension_point_1,
inference(splitLeft,[status(thm)],[c_38]) ).
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_43,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_24]) ).
tff(c_80,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72,c_43]) ).
tff(c_81,plain,
( ( lower_dimension_point_3 = lower_dimension_point_2 )
| ( lower_dimension_point_3 = lower_dimension_point_1 ) ),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_83,plain,
lower_dimension_point_3 = lower_dimension_point_1,
inference(splitLeft,[status(thm)],[c_81]) ).
tff(c_22,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_85,plain,
~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_22]) ).
tff(c_130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_122,c_85]) ).
tff(c_131,plain,
lower_dimension_point_3 = lower_dimension_point_2,
inference(splitRight,[status(thm)],[c_81]) ).
tff(c_20,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_133,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),
inference(demodulation,[status(thm),theory(equality)],[c_131,c_20]) ).
tff(c_173,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n003.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 00:34:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.64/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.81
% 3.64/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/1.84
% 3.76/1.84 Inference rules
% 3.76/1.84 ----------------------
% 3.76/1.84 #Ref : 0
% 3.76/1.84 #Sup : 26
% 3.76/1.84 #Fact : 0
% 3.76/1.84 #Define : 0
% 3.76/1.84 #Split : 2
% 3.76/1.84 #Chain : 0
% 3.76/1.84 #Close : 0
% 3.76/1.84
% 3.76/1.84 Ordering : KBO
% 3.76/1.84
% 3.76/1.84 Simplification rules
% 3.76/1.84 ----------------------
% 3.76/1.84 #Subsume : 1
% 3.76/1.84 #Demod : 13
% 3.76/1.84 #Tautology : 15
% 3.76/1.84 #SimpNegUnit : 0
% 3.76/1.84 #BackRed : 12
% 3.76/1.84
% 3.76/1.84 #Partial instantiations: 0
% 3.76/1.84 #Strategies tried : 1
% 3.76/1.84
% 3.76/1.84 Timing (in seconds)
% 3.76/1.84 ----------------------
% 3.76/1.84 Preprocessing : 0.52
% 3.76/1.84 Parsing : 0.28
% 3.76/1.84 CNF conversion : 0.03
% 3.76/1.84 Main loop : 0.27
% 3.76/1.84 Inferencing : 0.09
% 3.76/1.84 Reduction : 0.07
% 3.76/1.84 Demodulation : 0.05
% 3.76/1.84 BG Simplification : 0.02
% 3.76/1.84 Subsumption : 0.06
% 3.76/1.84 Abstraction : 0.01
% 3.76/1.84 MUC search : 0.00
% 3.76/1.84 Cooper : 0.00
% 3.76/1.84 Total : 0.84
% 3.76/1.84 Index Insertion : 0.00
% 3.76/1.84 Index Deletion : 0.00
% 3.76/1.84 Index Matching : 0.00
% 3.76/1.84 BG Taut test : 0.00
%------------------------------------------------------------------------------