TSTP Solution File: HEN007-6 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN007-6 : 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 : n008.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 10:42:16 EDT 2023
% Result : Unsatisfiable 18.31s 7.82s
% Output : CNFRefutation 18.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 51 ( 20 unt; 10 typ; 0 def)
% Number of atoms : 80 ( 9 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 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 : 79 (; 79 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ quotient > less_equal > divide > #nlpp > zero > zQy > zQx > z > y > 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(zQx,type,
zQx: $i ).
tff(y,type,
y: $i ).
tff(quotient,type,
quotient: ( $i * $i * $i ) > $o ).
tff(zQy,type,
zQy: $i ).
tff(identity,type,
identity: $i ).
tff(z,type,
z: $i ).
tff(zero,type,
zero: $i ).
tff(f_128,axiom,
~ less_equal(zQy,zQx),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file(unknown,unknown) ).
tff(f_126,axiom,
quotient(z,x,zQx),
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_115,axiom,
! [X] : quotient(X,zero,X),
file(unknown,unknown) ).
tff(f_124,axiom,
less_equal(x,y),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file(unknown,unknown) ).
tff(f_125,axiom,
quotient(z,y,zQy),
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_59,axiom,
! [X,Y,Z] :
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file(unknown,unknown) ).
tff(f_123,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file(unknown,unknown) ).
tff(c_36,plain,
~ less_equal(zQy,zQx),
inference(cnfTransformation,[status(thm)],[f_128]) ).
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_34,plain,
quotient(z,x,zQx),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_205,plain,
! [Z_59,W_60,X_61,Y_62] :
( ( Z_59 = W_60 )
| ~ quotient(X_61,Y_62,W_60)
| ~ quotient(X_61,Y_62,Z_59) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_382,plain,
! [Z_79] :
( ( zQx = Z_79 )
| ~ quotient(z,x,Z_79) ),
inference(resolution,[status(thm)],[c_34,c_205]) ).
tff(c_395,plain,
divide(z,x) = zQx,
inference(resolution,[status(thm)],[c_16,c_382]) ).
tff(c_26,plain,
! [X_29] : quotient(X_29,zero,X_29),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_257,plain,
! [Z_71,X_72] :
( ( Z_71 = X_72 )
| ~ quotient(X_72,zero,Z_71) ),
inference(resolution,[status(thm)],[c_26,c_205]) ).
tff(c_278,plain,
! [X_20] : ( divide(X_20,zero) = X_20 ),
inference(resolution,[status(thm)],[c_16,c_257]) ).
tff(c_30,plain,
less_equal(x,y),
inference(cnfTransformation,[status(thm)],[f_124]) ).
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_649,plain,
! [X_91,Y_92,Z_93] :
( ( divide(X_91,Y_92) = Z_93 )
| ~ quotient(X_91,Y_92,Z_93) ),
inference(resolution,[status(thm)],[c_16,c_205]) ).
tff(c_732,plain,
! [X_97,Y_98] :
( ( divide(X_97,Y_98) = zero )
| ~ less_equal(X_97,Y_98) ),
inference(resolution,[status(thm)],[c_2,c_649]) ).
tff(c_775,plain,
divide(x,y) = zero,
inference(resolution,[status(thm)],[c_30,c_732]) ).
tff(c_810,plain,
quotient(x,y,zero),
inference(superposition,[status(thm),theory(equality)],[c_775,c_16]) ).
tff(c_32,plain,
quotient(z,y,zQy),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_232,plain,
! [Y_69,V4_65,V3_64,V1_68,V5_70,Z_66,V2_63,X_67] :
( less_equal(V4_65,V5_70)
| ~ quotient(V1_68,Z_66,V5_70)
| ~ quotient(V3_64,V2_63,V4_65)
| ~ quotient(X_67,Z_66,V3_64)
| ~ quotient(Y_69,Z_66,V2_63)
| ~ quotient(X_67,Y_69,V1_68) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_5176,plain,
! [V2_243,V4_244,Y_245,Y_240,V3_242,X_246,X_241] :
( less_equal(V4_244,divide(X_241,Y_240))
| ~ quotient(V3_242,V2_243,V4_244)
| ~ quotient(X_246,Y_240,V3_242)
| ~ quotient(Y_245,Y_240,V2_243)
| ~ quotient(X_246,Y_245,X_241) ),
inference(resolution,[status(thm)],[c_16,c_232]) ).
tff(c_44745,plain,
! [X_858,Y_854,X_855,X_856,Y_857,Y_859] :
( less_equal(divide(X_856,Y_854),divide(X_855,Y_859))
| ~ quotient(X_858,Y_859,X_856)
| ~ quotient(Y_857,Y_859,Y_854)
| ~ quotient(X_858,Y_857,X_855) ),
inference(resolution,[status(thm)],[c_16,c_5176]) ).
tff(c_59953,plain,
! [Y_1093,X_1094,Y_1095] :
( less_equal(divide(zQy,Y_1093),divide(X_1094,y))
| ~ quotient(Y_1095,y,Y_1093)
| ~ quotient(z,Y_1095,X_1094) ),
inference(resolution,[status(thm)],[c_32,c_44745]) ).
tff(c_60013,plain,
! [X_1094] :
( less_equal(divide(zQy,zero),divide(X_1094,y))
| ~ quotient(z,x,X_1094) ),
inference(resolution,[status(thm)],[c_810,c_59953]) ).
tff(c_64338,plain,
! [X_1160] :
( less_equal(zQy,divide(X_1160,y))
| ~ quotient(z,x,X_1160) ),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_60013]) ).
tff(c_45,plain,
! [Z_43,X_44,Y_45] :
( less_equal(Z_43,X_44)
| ~ quotient(X_44,Y_45,Z_43) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_72,plain,
! [X_20,Y_21] : less_equal(divide(X_20,Y_21),X_20),
inference(resolution,[status(thm)],[c_16,c_45]) ).
tff(c_135,plain,
! [X_53,Z_54,Y_55] :
( less_equal(X_53,Z_54)
| ~ less_equal(Y_55,Z_54)
| ~ less_equal(X_53,Y_55) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_150,plain,
! [X_53,X_20,Y_21] :
( less_equal(X_53,X_20)
| ~ less_equal(X_53,divide(X_20,Y_21)) ),
inference(resolution,[status(thm)],[c_72,c_135]) ).
tff(c_64870,plain,
! [X_1163] :
( less_equal(zQy,X_1163)
| ~ quotient(z,x,X_1163) ),
inference(resolution,[status(thm)],[c_64338,c_150]) ).
tff(c_64890,plain,
less_equal(zQy,divide(z,x)),
inference(resolution,[status(thm)],[c_16,c_64870]) ).
tff(c_64903,plain,
less_equal(zQy,zQx),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_64890]) ).
tff(c_64905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_64903]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN007-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n008.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 13:12:34 EDT 2023
% 0.17/0.35 % CPUTime :
% 18.31/7.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.31/7.82
% 18.31/7.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.39/7.85
% 18.39/7.85 Inference rules
% 18.39/7.85 ----------------------
% 18.39/7.85 #Ref : 0
% 18.39/7.85 #Sup : 15752
% 18.39/7.85 #Fact : 0
% 18.39/7.85 #Define : 0
% 18.39/7.85 #Split : 24
% 18.39/7.85 #Chain : 0
% 18.39/7.85 #Close : 0
% 18.39/7.85
% 18.39/7.85 Ordering : KBO
% 18.39/7.85
% 18.39/7.85 Simplification rules
% 18.39/7.85 ----------------------
% 18.39/7.85 #Subsume : 8371
% 18.39/7.85 #Demod : 10755
% 18.39/7.85 #Tautology : 5236
% 18.39/7.85 #SimpNegUnit : 335
% 18.39/7.85 #BackRed : 10
% 18.39/7.85
% 18.39/7.85 #Partial instantiations: 0
% 18.39/7.85 #Strategies tried : 1
% 18.39/7.85
% 18.39/7.85 Timing (in seconds)
% 18.39/7.85 ----------------------
% 18.39/7.86 Preprocessing : 0.45
% 18.39/7.86 Parsing : 0.23
% 18.39/7.86 CNF conversion : 0.03
% 18.39/7.86 Main loop : 6.33
% 18.39/7.86 Inferencing : 1.21
% 18.39/7.86 Reduction : 2.88
% 18.39/7.86 Demodulation : 2.24
% 18.39/7.86 BG Simplification : 0.06
% 18.39/7.86 Subsumption : 1.92
% 18.39/7.86 Abstraction : 0.10
% 18.39/7.86 MUC search : 0.00
% 18.39/7.86 Cooper : 0.00
% 18.39/7.86 Total : 6.83
% 18.39/7.86 Index Insertion : 0.00
% 18.39/7.86 Index Deletion : 0.00
% 18.39/7.86 Index Matching : 0.00
% 18.39/7.86 BG Taut test : 0.00
%------------------------------------------------------------------------------