TSTP Solution File: HEN006-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN006-1 : 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/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 : n014.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 10:42:14 EDT 2023
% Result : Unsatisfiable 76.25s 61.26s
% Output : CNFRefutation 76.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 63 ( 27 unt; 10 typ; 0 def)
% Number of atoms : 107 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 104 (; 104 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ quotient > less_equal > divide > #nlpp > zero > z > y > xQz > xQy > x > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(xQy,type,
xQy: $i ).
tff(xQz,type,
xQz: $i ).
tff(y,type,
y: $i ).
tff(quotient,type,
quotient: ( $i * $i * $i ) > $o ).
tff(identity,type,
identity: $i ).
tff(z,type,
z: $i ).
tff(zero,type,
zero: $i ).
tff(f_111,axiom,
~ less_equal(xQz,y),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Y,Z] :
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file(unknown,unknown) ).
tff(f_80,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_89,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
less_equal(xQy,z),
file(unknown,unknown) ).
tff(f_107,axiom,
quotient(x,y,xQy),
file(unknown,unknown) ).
tff(f_109,axiom,
quotient(x,z,xQz),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [V3,V5,Z,V1,X,Y,V2,V4] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Z,V3)
| ~ quotient(V3,V2,V4)
| ~ quotient(V1,Z,V5)
| less_equal(V4,V5) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X,Y,Z,W] :
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(c_26,plain,
~ less_equal(xQz,y),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_16,plain,
! [X_20,Y_21] : quotient(X_20,Y_21,divide(X_20,Y_21)),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_31,plain,
! [Z_32,X_33,Y_34] :
( less_equal(Z_32,X_33)
| ~ quotient(X_33,Y_34,Z_32) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_41,plain,
! [X_20,Y_21] : less_equal(divide(X_20,Y_21),X_20),
inference(resolution,[status(thm)],[c_16,c_31]) ).
tff(c_10,plain,
! [X_16] : less_equal(zero,X_16),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_55,plain,
! [Y_39,X_40] :
( ( Y_39 = X_40 )
| ~ less_equal(Y_39,X_40)
| ~ less_equal(X_40,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_94,plain,
! [X_46] :
( ( zero = X_46 )
| ~ less_equal(X_46,zero) ),
inference(resolution,[status(thm)],[c_10,c_55]) ).
tff(c_103,plain,
! [Y_21] : ( divide(zero,Y_21) = zero ),
inference(resolution,[status(thm)],[c_41,c_94]) ).
tff(c_22,plain,
less_equal(xQy,z),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_20,plain,
quotient(x,y,xQy),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_24,plain,
quotient(x,z,xQz),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( quotient(X_1,Y_2,zero)
| ~ less_equal(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_134,plain,
! [V1_54,V3_50,Y_55,X_53,V4_51,V2_49,V5_56,Z_52] :
( less_equal(V4_51,V5_56)
| ~ quotient(V1_54,Z_52,V5_56)
| ~ quotient(V3_50,V2_49,V4_51)
| ~ quotient(X_53,Z_52,V3_50)
| ~ quotient(Y_55,Z_52,V2_49)
| ~ quotient(X_53,Y_55,V1_54) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1253,plain,
! [Y_131,V2_127,V4_130,X_132,V3_128,Y_133,X_129] :
( less_equal(V4_130,zero)
| ~ quotient(V3_128,V2_127,V4_130)
| ~ quotient(X_132,Y_133,V3_128)
| ~ quotient(Y_131,Y_133,V2_127)
| ~ quotient(X_132,Y_131,X_129)
| ~ less_equal(X_129,Y_133) ),
inference(resolution,[status(thm)],[c_2,c_134]) ).
tff(c_2719,plain,
! [Y_227,X_232,Y_228,Y_231,X_229,X_230] :
( less_equal(divide(X_229,Y_227),zero)
| ~ quotient(X_230,Y_228,X_229)
| ~ quotient(Y_231,Y_228,Y_227)
| ~ quotient(X_230,Y_231,X_232)
| ~ less_equal(X_232,Y_228) ),
inference(resolution,[status(thm)],[c_16,c_1253]) ).
tff(c_260033,plain,
! [Y_2379,Y_2380,X_2381] :
( less_equal(divide(xQz,Y_2379),zero)
| ~ quotient(Y_2380,z,Y_2379)
| ~ quotient(x,Y_2380,X_2381)
| ~ less_equal(X_2381,z) ),
inference(resolution,[status(thm)],[c_24,c_2719]) ).
tff(c_262367,plain,
! [X_2448,X_2449] :
( less_equal(divide(xQz,divide(X_2448,z)),zero)
| ~ quotient(x,X_2448,X_2449)
| ~ less_equal(X_2449,z) ),
inference(resolution,[status(thm)],[c_16,c_260033]) ).
tff(c_262380,plain,
( less_equal(divide(xQz,divide(y,z)),zero)
| ~ less_equal(xQy,z) ),
inference(resolution,[status(thm)],[c_20,c_262367]) ).
tff(c_262395,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_262380]) ).
tff(c_73,plain,
! [X_16] :
( ( zero = X_16 )
| ~ less_equal(X_16,zero) ),
inference(resolution,[status(thm)],[c_10,c_55]) ).
tff(c_262421,plain,
divide(xQz,divide(y,z)) = zero,
inference(resolution,[status(thm)],[c_262395,c_73]) ).
tff(c_262469,plain,
quotient(xQz,divide(y,z),zero),
inference(superposition,[status(thm),theory(equality)],[c_262421,c_16]) ).
tff(c_81,plain,
! [Z_42,W_43,X_44,Y_45] :
( ( Z_42 = W_43 )
| ~ quotient(X_44,Y_45,W_43)
| ~ quotient(X_44,Y_45,Z_42) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_231,plain,
! [X_61,Y_62,Z_63] :
( ( divide(X_61,Y_62) = Z_63 )
| ~ quotient(X_61,Y_62,Z_63) ),
inference(resolution,[status(thm)],[c_16,c_81]) ).
tff(c_256,plain,
! [X_64,Y_65] :
( ( divide(X_64,Y_65) = zero )
| ~ less_equal(X_64,Y_65) ),
inference(resolution,[status(thm)],[c_2,c_231]) ).
tff(c_275,plain,
! [X_20,Y_21] : ( divide(divide(X_20,Y_21),X_20) = zero ),
inference(resolution,[status(thm)],[c_41,c_256]) ).
tff(c_890,plain,
! [X_108,V3_110,V2_109,Y_112,V4_111,X_113,Y_107] :
( less_equal(V4_111,divide(X_108,Y_107))
| ~ quotient(V3_110,V2_109,V4_111)
| ~ quotient(X_113,Y_107,V3_110)
| ~ quotient(Y_112,Y_107,V2_109)
| ~ quotient(X_113,Y_112,X_108) ),
inference(resolution,[status(thm)],[c_16,c_134]) ).
tff(c_2608,plain,
! [Y_222,X_221,Y_220,X_218,X_219,Y_217] :
( less_equal(divide(X_218,Y_217),divide(X_219,Y_222))
| ~ quotient(X_221,Y_222,X_218)
| ~ quotient(Y_220,Y_222,Y_217)
| ~ quotient(X_221,Y_220,X_219) ),
inference(resolution,[status(thm)],[c_16,c_890]) ).
tff(c_260324,plain,
! [Y_2393,X_2392,X_2391,Y_2394,Y_2390] :
( less_equal(divide(divide(X_2391,Y_2390),Y_2394),divide(X_2392,Y_2390))
| ~ quotient(Y_2393,Y_2390,Y_2394)
| ~ quotient(X_2391,Y_2393,X_2392) ),
inference(resolution,[status(thm)],[c_16,c_2608]) ).
tff(c_369289,plain,
! [X_3259,Y_3260,X_3261,X_3262] :
( less_equal(divide(divide(X_3259,Y_3260),divide(X_3261,Y_3260)),divide(X_3262,Y_3260))
| ~ quotient(X_3259,X_3261,X_3262) ),
inference(resolution,[status(thm)],[c_16,c_260324]) ).
tff(c_581137,plain,
! [X_4487,X_4488,X_4489,Y_4490] :
( less_equal(divide(divide(X_4487,X_4488),zero),divide(X_4489,X_4488))
| ~ quotient(X_4487,divide(X_4488,Y_4490),X_4489) ),
inference(superposition,[status(thm),theory(equality)],[c_275,c_369289]) ).
tff(c_581328,plain,
less_equal(divide(divide(xQz,y),zero),divide(zero,y)),
inference(resolution,[status(thm)],[c_262469,c_581137]) ).
tff(c_581454,plain,
less_equal(divide(divide(xQz,y),zero),zero),
inference(demodulation,[status(thm),theory(equality)],[c_103,c_581328]) ).
tff(c_581507,plain,
divide(divide(xQz,y),zero) = zero,
inference(resolution,[status(thm)],[c_581454,c_73]) ).
tff(c_581821,plain,
quotient(divide(xQz,y),zero,zero),
inference(superposition,[status(thm),theory(equality)],[c_581507,c_16]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ~ quotient(X_3,Y_4,zero) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_581995,plain,
less_equal(divide(xQz,y),zero),
inference(resolution,[status(thm)],[c_581821,c_4]) ).
tff(c_582015,plain,
divide(xQz,y) = zero,
inference(resolution,[status(thm)],[c_581995,c_73]) ).
tff(c_582531,plain,
quotient(xQz,y,zero),
inference(superposition,[status(thm),theory(equality)],[c_582015,c_16]) ).
tff(c_582724,plain,
less_equal(xQz,y),
inference(resolution,[status(thm)],[c_582531,c_4]) ).
tff(c_582764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_582724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 13:05:03 EDT 2023
% 0.17/0.35 % CPUTime :
% 76.25/61.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.25/61.27
% 76.25/61.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 76.35/61.31
% 76.35/61.31 Inference rules
% 76.35/61.31 ----------------------
% 76.35/61.31 #Ref : 0
% 76.35/61.31 #Sup : 138745
% 76.35/61.31 #Fact : 0
% 76.35/61.31 #Define : 0
% 76.35/61.31 #Split : 217
% 76.35/61.31 #Chain : 0
% 76.35/61.31 #Close : 0
% 76.35/61.31
% 76.35/61.31 Ordering : KBO
% 76.35/61.31
% 76.35/61.31 Simplification rules
% 76.35/61.31 ----------------------
% 76.35/61.31 #Subsume : 29696
% 76.35/61.31 #Demod : 128932
% 76.35/61.31 #Tautology : 84635
% 76.35/61.31 #SimpNegUnit : 1
% 76.35/61.31 #BackRed : 496
% 76.35/61.31
% 76.35/61.31 #Partial instantiations: 0
% 76.35/61.31 #Strategies tried : 1
% 76.35/61.31
% 76.35/61.31 Timing (in seconds)
% 76.35/61.31 ----------------------
% 76.35/61.31 Preprocessing : 0.55
% 76.35/61.31 Parsing : 0.30
% 76.35/61.31 CNF conversion : 0.04
% 76.35/61.31 Main loop : 59.68
% 76.35/61.31 Inferencing : 7.74
% 76.35/61.31 Reduction : 29.20
% 76.35/61.31 Demodulation : 22.88
% 76.35/61.31 BG Simplification : 0.36
% 76.35/61.31 Subsumption : 20.54
% 76.35/61.31 Abstraction : 0.62
% 76.35/61.31 MUC search : 0.00
% 76.35/61.31 Cooper : 0.00
% 76.35/61.31 Total : 60.29
% 76.35/61.31 Index Insertion : 0.00
% 76.35/61.31 Index Deletion : 0.00
% 76.35/61.31 Index Matching : 0.00
% 76.35/61.31 BG Taut test : 0.00
%------------------------------------------------------------------------------