TSTP Solution File: GEO002-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 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 : n005.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 10:37:50 EDT 2023
% Result : Unsatisfiable 5.78s 2.55s
% Output : CNFRefutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 5 >; 13 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 109 (; 109 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > equalish > outer_pasch > extension > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(outer_pasch,type,
outer_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(f_58,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y,V,Z] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V)
| between(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ between(W,Z,X)
| between(W,Z,Y) ),
file(unknown,unknown) ).
tff(f_54,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_46,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_69,axiom,
~ between(a,a,b),
file(unknown,unknown) ).
tff(c_19,plain,
! [Y_37,X_38,W_39,V_40] : equidistant(Y_37,extension(X_38,Y_37,W_39,V_40),W_39,V_40),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_4,plain,
! [X_5,Y_6,Z_7] :
( equalish(X_5,Y_6)
| ~ equidistant(X_5,Y_6,Z_7,Z_7) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_24,plain,
! [Y_37,X_38,V_40] : equalish(Y_37,extension(X_38,Y_37,V_40,V_40)),
inference(resolution,[status(thm)],[c_19,c_4]) ).
tff(c_10,plain,
! [X_18,Y_19,W_20,V_21] : between(X_18,Y_19,extension(X_18,Y_19,W_20,V_21)),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_36,plain,
! [X_53,Y_54,Z_55,V_56] :
( between(X_53,Y_54,Z_55)
| ~ between(Y_54,Z_55,V_56)
| ~ between(X_53,Y_54,V_56) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_40,plain,
! [X_60,V_57,X_58,Y_61,W_59] :
( between(X_60,X_58,Y_61)
| ~ between(X_60,X_58,extension(X_58,Y_61,W_59,V_57)) ),
inference(resolution,[status(thm)],[c_10,c_36]) ).
tff(c_53,plain,
! [X_67] : between(X_67,X_67,X_67),
inference(resolution,[status(thm)],[c_10,c_40]) ).
tff(c_14,plain,
! [W_28,Z_29,Y_27,X_26] :
( between(W_28,Z_29,Y_27)
| ~ between(W_28,Z_29,X_26)
| ~ equalish(X_26,Y_27) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_60,plain,
! [X_68,Y_69] :
( between(X_68,X_68,Y_69)
| ~ equalish(X_68,Y_69) ),
inference(resolution,[status(thm)],[c_53,c_14]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_4,V_3] :
( between(X_1,Y_2,Z_4)
| ~ between(Y_2,Z_4,V_3)
| ~ between(X_1,Y_2,V_3) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_80,plain,
! [X_73,X_74,Y_75] :
( between(X_73,X_74,X_74)
| ~ between(X_73,X_74,Y_75)
| ~ equalish(X_74,Y_75) ),
inference(resolution,[status(thm)],[c_60,c_2]) ).
tff(c_128,plain,
! [X_89,Y_90,W_91,V_92] :
( between(X_89,Y_90,Y_90)
| ~ equalish(Y_90,extension(X_89,Y_90,W_91,V_92)) ),
inference(resolution,[status(thm)],[c_10,c_80]) ).
tff(c_132,plain,
! [X_38,Y_37] : between(X_38,Y_37,Y_37),
inference(resolution,[status(thm)],[c_24,c_128]) ).
tff(c_8,plain,
! [V_17,W_13,X_15,Y_16,Z_14] :
( between(Z_14,W_13,outer_pasch(W_13,X_15,Y_16,Z_14,V_17))
| ~ between(Y_16,V_17,Z_14)
| ~ between(X_15,W_13,V_17) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_95,plain,
! [Z_76,W_80,V_77,Y_79,X_78] :
( between(X_78,outer_pasch(W_80,X_78,Y_79,Z_76,V_77),Y_79)
| ~ between(Y_79,V_77,Z_76)
| ~ between(X_78,W_80,V_77) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_340,plain,
! [Z_219,X_217,W_215,Y_218,X_216,V_214] :
( between(X_216,X_217,outer_pasch(W_215,X_217,Y_218,Z_219,V_214))
| ~ between(X_216,X_217,Y_218)
| ~ between(Y_218,V_214,Z_219)
| ~ between(X_217,W_215,V_214) ),
inference(resolution,[status(thm)],[c_95,c_2]) ).
tff(c_2048,plain,
! [X_583,V_584,Y_585,X_582,W_586,X_581,Z_580] :
( between(X_582,X_581,X_583)
| ~ between(X_582,X_581,outer_pasch(W_586,X_583,Y_585,Z_580,V_584))
| ~ between(X_581,X_583,Y_585)
| ~ between(Y_585,V_584,Z_580)
| ~ between(X_583,W_586,V_584) ),
inference(resolution,[status(thm)],[c_340,c_2]) ).
tff(c_2237,plain,
! [Y_655,Z_658,W_656,X_659,V_657] :
( between(Z_658,W_656,X_659)
| ~ between(W_656,X_659,Y_655)
| ~ between(Y_655,V_657,Z_658)
| ~ between(X_659,W_656,V_657) ),
inference(resolution,[status(thm)],[c_8,c_2048]) ).
tff(c_2313,plain,
! [Z_660,X_661,Y_662,V_663] :
( between(Z_660,X_661,Y_662)
| ~ between(Y_662,V_663,Z_660)
| ~ between(Y_662,X_661,V_663) ),
inference(resolution,[status(thm)],[c_132,c_2237]) ).
tff(c_2389,plain,
! [Y_664,X_665,X_666] :
( between(Y_664,X_665,X_666)
| ~ between(X_666,X_665,Y_664) ),
inference(resolution,[status(thm)],[c_132,c_2313]) ).
tff(c_2461,plain,
! [Y_37,X_38] : between(Y_37,Y_37,X_38),
inference(resolution,[status(thm)],[c_132,c_2389]) ).
tff(c_16,plain,
~ between(a,a,b),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2551,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2461,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:34:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.78/2.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.78/2.56
% 5.78/2.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.07/2.59
% 6.07/2.59 Inference rules
% 6.07/2.59 ----------------------
% 6.07/2.59 #Ref : 0
% 6.07/2.59 #Sup : 691
% 6.07/2.59 #Fact : 0
% 6.07/2.59 #Define : 0
% 6.07/2.59 #Split : 0
% 6.07/2.59 #Chain : 0
% 6.07/2.59 #Close : 0
% 6.07/2.59
% 6.07/2.59 Ordering : KBO
% 6.07/2.59
% 6.07/2.59 Simplification rules
% 6.07/2.59 ----------------------
% 6.07/2.59 #Subsume : 162
% 6.07/2.59 #Demod : 41
% 6.07/2.59 #Tautology : 45
% 6.07/2.59 #SimpNegUnit : 0
% 6.07/2.59 #BackRed : 1
% 6.07/2.59
% 6.07/2.59 #Partial instantiations: 0
% 6.07/2.59 #Strategies tried : 1
% 6.07/2.59
% 6.07/2.59 Timing (in seconds)
% 6.07/2.59 ----------------------
% 6.07/2.59 Preprocessing : 0.43
% 6.07/2.59 Parsing : 0.25
% 6.07/2.59 CNF conversion : 0.02
% 6.07/2.59 Main loop : 0.99
% 6.07/2.59 Inferencing : 0.36
% 6.07/2.59 Reduction : 0.20
% 6.07/2.59 Demodulation : 0.14
% 6.07/2.59 BG Simplification : 0.03
% 6.07/2.59 Subsumption : 0.34
% 6.07/2.59 Abstraction : 0.03
% 6.07/2.59 MUC search : 0.00
% 6.07/2.59 Cooper : 0.00
% 6.07/2.59 Total : 1.47
% 6.07/2.59 Index Insertion : 0.00
% 6.07/2.59 Index Deletion : 0.00
% 6.07/2.59 Index Matching : 0.00
% 6.07/2.59 BG Taut test : 0.00
%------------------------------------------------------------------------------