TSTP Solution File: HEN006-7 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN006-7 : 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 : n032.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 35.24s 23.64s
% Output : CNFRefutation 35.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 63 ( 27 unt; 10 typ; 0 def)
% Number of atoms : 108 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 57 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 100 (; 100 !; 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_120,axiom,
~ less_equal(xQz,y),
file(unknown,unknown) ).
tff(f_80,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_117,axiom,
less_equal(xQy,z),
file(unknown,unknown) ).
tff(f_116,axiom,
quotient(x,y,xQy),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file(unknown,unknown) ).
tff(f_118,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_89,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( 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_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_111,axiom,
! [X] : quotient(zero,X,zero),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(c_34,plain,
~ less_equal(xQz,y),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_10,plain,
! [X_16] : less_equal(zero,X_16),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_30,plain,
less_equal(xQy,z),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_28,plain,
quotient(x,y,xQy),
inference(cnfTransformation,[status(thm)],[f_116]) ).
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_32,plain,
quotient(x,z,xQz),
inference(cnfTransformation,[status(thm)],[f_118]) ).
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_205,plain,
! [V1_62,X_61,V4_59,Z_60,V3_58,Y_63,V5_64,V2_57] :
( less_equal(V4_59,V5_64)
| ~ quotient(V1_62,Z_60,V5_64)
| ~ quotient(V3_58,V2_57,V4_59)
| ~ quotient(X_61,Z_60,V3_58)
| ~ quotient(Y_63,Z_60,V2_57)
| ~ quotient(X_61,Y_63,V1_62) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_2909,plain,
! [Y_216,V4_214,X_213,V3_212,V2_215,X_218,Y_217] :
( less_equal(V4_214,zero)
| ~ quotient(V3_212,V2_215,V4_214)
| ~ quotient(X_218,Y_217,V3_212)
| ~ quotient(Y_216,Y_217,V2_215)
| ~ quotient(X_218,Y_216,X_213)
| ~ less_equal(X_213,Y_217) ),
inference(resolution,[status(thm)],[c_2,c_205]) ).
tff(c_24124,plain,
! [X_617,Y_620,X_618,Y_615,Y_616,X_619] :
( less_equal(divide(X_618,Y_616),zero)
| ~ quotient(X_619,Y_620,X_618)
| ~ quotient(Y_615,Y_620,Y_616)
| ~ quotient(X_619,Y_615,X_617)
| ~ less_equal(X_617,Y_620) ),
inference(resolution,[status(thm)],[c_16,c_2909]) ).
tff(c_41160,plain,
! [Y_838,Y_839,X_840] :
( less_equal(divide(xQz,Y_838),zero)
| ~ quotient(Y_839,z,Y_838)
| ~ quotient(x,Y_839,X_840)
| ~ less_equal(X_840,z) ),
inference(resolution,[status(thm)],[c_32,c_24124]) ).
tff(c_72486,plain,
! [X_1218,X_1219] :
( less_equal(divide(xQz,divide(X_1218,z)),zero)
| ~ quotient(x,X_1218,X_1219)
| ~ less_equal(X_1219,z) ),
inference(resolution,[status(thm)],[c_16,c_41160]) ).
tff(c_72535,plain,
( less_equal(divide(xQz,divide(y,z)),zero)
| ~ less_equal(xQy,z) ),
inference(resolution,[status(thm)],[c_28,c_72486]) ).
tff(c_72571,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_72535]) ).
tff(c_12,plain,
! [Y_18,X_17] :
( ( Y_18 = X_17 )
| ~ less_equal(Y_18,X_17)
| ~ less_equal(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_75716,plain,
( ( divide(xQz,divide(y,z)) = zero )
| ~ less_equal(zero,divide(xQz,divide(y,z))) ),
inference(resolution,[status(thm)],[c_72571,c_12]) ).
tff(c_75757,plain,
divide(xQz,divide(y,z)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_75716]) ).
tff(c_76982,plain,
quotient(xQz,divide(y,z),zero),
inference(superposition,[status(thm),theory(equality)],[c_75757,c_16]) ).
tff(c_69,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_96,plain,
! [X_20,Y_21] : less_equal(divide(X_20,Y_21),X_20),
inference(resolution,[status(thm)],[c_16,c_69]) ).
tff(c_133,plain,
! [Z_50,W_51,X_52,Y_53] :
( ( Z_50 = W_51 )
| ~ quotient(X_52,Y_53,W_51)
| ~ quotient(X_52,Y_53,Z_50) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_515,plain,
! [X_78,Y_79,Z_80] :
( ( divide(X_78,Y_79) = Z_80 )
| ~ quotient(X_78,Y_79,Z_80) ),
inference(resolution,[status(thm)],[c_16,c_133]) ).
tff(c_555,plain,
! [X_81,Y_82] :
( ( divide(X_81,Y_82) = zero )
| ~ less_equal(X_81,Y_82) ),
inference(resolution,[status(thm)],[c_2,c_515]) ).
tff(c_683,plain,
! [X_83,Y_84] : ( divide(divide(X_83,Y_84),X_83) = zero ),
inference(resolution,[status(thm)],[c_96,c_555]) ).
tff(c_701,plain,
! [X_83,Y_84] : quotient(divide(X_83,Y_84),X_83,zero),
inference(superposition,[status(thm),theory(equality)],[c_683,c_16]) ).
tff(c_26,plain,
! [X_29] : quotient(X_29,zero,X_29),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_22,plain,
! [X_27] : quotient(zero,X_27,zero),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_1156,plain,
! [X_115,Y_114,V3_111,V4_112,X_116,V2_113] :
( less_equal(V4_112,zero)
| ~ quotient(V3_111,V2_113,V4_112)
| ~ quotient(X_116,X_115,V3_111)
| ~ quotient(Y_114,X_115,V2_113)
| ~ quotient(X_116,Y_114,zero) ),
inference(resolution,[status(thm)],[c_22,c_205]) ).
tff(c_1204,plain,
! [X_120,X_121,X_122,Y_123] :
( less_equal(X_120,zero)
| ~ quotient(X_121,X_122,X_120)
| ~ quotient(Y_123,X_122,zero)
| ~ quotient(X_121,Y_123,zero) ),
inference(resolution,[status(thm)],[c_26,c_1156]) ).
tff(c_4318,plain,
! [X_270,Y_271,Y_272] :
( less_equal(divide(X_270,Y_271),zero)
| ~ quotient(Y_272,Y_271,zero)
| ~ quotient(X_270,Y_272,zero) ),
inference(resolution,[status(thm)],[c_16,c_1204]) ).
tff(c_161364,plain,
! [X_1569,X_1570,Y_1571] :
( less_equal(divide(X_1569,X_1570),zero)
| ~ quotient(X_1569,divide(X_1570,Y_1571),zero) ),
inference(resolution,[status(thm)],[c_701,c_4318]) ).
tff(c_161816,plain,
less_equal(divide(xQz,y),zero),
inference(resolution,[status(thm)],[c_76982,c_161364]) ).
tff(c_107,plain,
! [Y_46,X_47] :
( ( Y_46 = X_47 )
| ~ less_equal(Y_46,X_47)
| ~ less_equal(X_47,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_120,plain,
! [X_16] :
( ( zero = X_16 )
| ~ less_equal(X_16,zero) ),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_161952,plain,
divide(xQz,y) = zero,
inference(resolution,[status(thm)],[c_161816,c_120]) ).
tff(c_162823,plain,
quotient(xQz,y,zero),
inference(superposition,[status(thm),theory(equality)],[c_161952,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_163146,plain,
less_equal(xQz,y),
inference(resolution,[status(thm)],[c_162823,c_4]) ).
tff(c_163257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_163146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN006-7 : 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
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 13:11:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 35.24/23.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.24/23.65
% 35.24/23.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.28/23.68
% 35.28/23.68 Inference rules
% 35.28/23.68 ----------------------
% 35.28/23.68 #Ref : 0
% 35.28/23.68 #Sup : 40095
% 35.28/23.68 #Fact : 0
% 35.28/23.68 #Define : 0
% 35.28/23.68 #Split : 45
% 35.28/23.68 #Chain : 0
% 35.28/23.68 #Close : 0
% 35.28/23.68
% 35.28/23.68 Ordering : KBO
% 35.28/23.68
% 35.28/23.68 Simplification rules
% 35.28/23.68 ----------------------
% 35.28/23.68 #Subsume : 22747
% 35.28/23.68 #Demod : 18710
% 35.28/23.68 #Tautology : 11296
% 35.28/23.68 #SimpNegUnit : 1127
% 35.28/23.68 #BackRed : 35
% 35.28/23.68
% 35.28/23.68 #Partial instantiations: 0
% 35.28/23.68 #Strategies tried : 1
% 35.28/23.68
% 35.28/23.68 Timing (in seconds)
% 35.28/23.68 ----------------------
% 35.28/23.68 Preprocessing : 0.44
% 35.28/23.68 Parsing : 0.24
% 35.28/23.68 CNF conversion : 0.03
% 35.28/23.68 Main loop : 22.20
% 35.28/23.68 Inferencing : 2.59
% 35.28/23.68 Reduction : 7.78
% 35.28/23.68 Demodulation : 5.21
% 35.28/23.68 BG Simplification : 0.12
% 35.28/23.68 Subsumption : 10.90
% 35.28/23.68 Abstraction : 0.19
% 35.28/23.68 MUC search : 0.00
% 35.28/23.68 Cooper : 0.00
% 35.28/23.68 Total : 22.70
% 35.28/23.68 Index Insertion : 0.00
% 35.28/23.68 Index Deletion : 0.00
% 35.28/23.68 Index Matching : 0.00
% 35.28/23.68 BG Taut test : 0.00
%------------------------------------------------------------------------------