TSTP Solution File: HEN004-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN004-1 : 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/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 : 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 10:42:12 EDT 2023
% Result : Unsatisfiable 8.65s 3.17s
% Output : CNFRefutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 24 unt; 6 typ; 0 def)
% Number of atoms : 84 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 82 ( 42 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ quotient > less_equal > divide > #nlpp > zero > 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(quotient,type,
quotient: ( $i * $i * $i ) > $o ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
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_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_53,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_108,axiom,
~ quotient(x,zero,x),
file(unknown,unknown) ).
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_25,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_29,plain,
! [X_20,Y_21] : less_equal(divide(X_20,Y_21),X_20),
inference(resolution,[status(thm)],[c_16,c_25]) ).
tff(c_10,plain,
! [X_16] : less_equal(zero,X_16),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_41,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_58,plain,
! [X_45] :
( ( zero = X_45 )
| ~ less_equal(X_45,zero) ),
inference(resolution,[status(thm)],[c_10,c_41]) ).
tff(c_70,plain,
! [Y_46] : ( divide(zero,Y_46) = zero ),
inference(resolution,[status(thm)],[c_29,c_58]) ).
tff(c_78,plain,
! [Y_46] : quotient(zero,Y_46,zero),
inference(superposition,[status(thm),theory(equality)],[c_70,c_16]) ).
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_125,plain,
! [Y_57,Z_54,V5_58,X_55,V1_56,V2_51,V4_53,V3_52] :
( less_equal(V4_53,V5_58)
| ~ quotient(V1_56,Z_54,V5_58)
| ~ quotient(V3_52,V2_51,V4_53)
| ~ quotient(X_55,Z_54,V3_52)
| ~ quotient(Y_57,Z_54,V2_51)
| ~ quotient(X_55,Y_57,V1_56) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_737,plain,
! [X_115,X_111,V4_112,Y_117,Y_113,V2_114,V3_116] :
( less_equal(V4_112,zero)
| ~ quotient(V3_116,V2_114,V4_112)
| ~ quotient(X_115,Y_117,V3_116)
| ~ quotient(Y_113,Y_117,V2_114)
| ~ quotient(X_115,Y_113,X_111)
| ~ less_equal(X_111,Y_117) ),
inference(resolution,[status(thm)],[c_2,c_125]) ).
tff(c_1095,plain,
! [X_137,X_140,Y_136,X_141,Y_139,Y_138] :
( less_equal(divide(X_137,Y_136),zero)
| ~ quotient(X_141,Y_138,X_137)
| ~ quotient(Y_139,Y_138,Y_136)
| ~ quotient(X_141,Y_139,X_140)
| ~ less_equal(X_140,Y_138) ),
inference(resolution,[status(thm)],[c_16,c_737]) ).
tff(c_1923,plain,
! [X_166,Y_167,X_169,Y_168,Y_165] :
( less_equal(divide(divide(X_166,Y_165),Y_167),zero)
| ~ quotient(Y_168,Y_165,Y_167)
| ~ quotient(X_166,Y_168,X_169)
| ~ less_equal(X_169,Y_165) ),
inference(resolution,[status(thm)],[c_16,c_1095]) ).
tff(c_2803,plain,
! [X_191,Y_192,X_193] :
( less_equal(divide(divide(X_191,Y_192),zero),zero)
| ~ quotient(X_191,zero,X_193)
| ~ less_equal(X_193,Y_192) ),
inference(resolution,[status(thm)],[c_78,c_1923]) ).
tff(c_11244,plain,
! [X_331,Y_332] :
( less_equal(divide(divide(X_331,Y_332),zero),zero)
| ~ less_equal(divide(X_331,zero),Y_332) ),
inference(resolution,[status(thm)],[c_16,c_2803]) ).
tff(c_49,plain,
! [X_16] :
( ( zero = X_16 )
| ~ less_equal(X_16,zero) ),
inference(resolution,[status(thm)],[c_10,c_41]) ).
tff(c_11739,plain,
! [X_339,Y_340] :
( ( divide(divide(X_339,Y_340),zero) = zero )
| ~ less_equal(divide(X_339,zero),Y_340) ),
inference(resolution,[status(thm)],[c_11244,c_49]) ).
tff(c_12034,plain,
! [X_345] : ( divide(divide(X_345,X_345),zero) = zero ),
inference(resolution,[status(thm)],[c_29,c_11739]) ).
tff(c_12506,plain,
! [X_346] : quotient(divide(X_346,X_346),zero,zero),
inference(superposition,[status(thm),theory(equality)],[c_12034,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_12649,plain,
! [X_347] : less_equal(divide(X_347,X_347),zero),
inference(resolution,[status(thm)],[c_12506,c_4]) ).
tff(c_12719,plain,
! [X_348] : ( divide(X_348,X_348) = zero ),
inference(resolution,[status(thm)],[c_12649,c_49]) ).
tff(c_13390,plain,
! [X_352] : quotient(X_352,X_352,zero),
inference(superposition,[status(thm),theory(equality)],[c_12719,c_16]) ).
tff(c_13503,plain,
! [X_353] : less_equal(X_353,X_353),
inference(resolution,[status(thm)],[c_13390,c_4]) ).
tff(c_11343,plain,
! [X_331,Y_332] :
( ( divide(divide(X_331,Y_332),zero) = zero )
| ~ less_equal(divide(X_331,zero),Y_332) ),
inference(resolution,[status(thm)],[c_11244,c_49]) ).
tff(c_15550,plain,
! [X_369] : ( divide(divide(X_369,divide(X_369,zero)),zero) = zero ),
inference(resolution,[status(thm)],[c_13503,c_11343]) ).
tff(c_16086,plain,
! [X_370] : quotient(divide(X_370,divide(X_370,zero)),zero,zero),
inference(superposition,[status(thm),theory(equality)],[c_15550,c_16]) ).
tff(c_16280,plain,
! [X_371] : less_equal(divide(X_371,divide(X_371,zero)),zero),
inference(resolution,[status(thm)],[c_16086,c_4]) ).
tff(c_16399,plain,
! [X_372] : ( divide(X_372,divide(X_372,zero)) = zero ),
inference(resolution,[status(thm)],[c_16280,c_49]) ).
tff(c_16911,plain,
! [X_373] : quotient(X_373,divide(X_373,zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_16399,c_16]) ).
tff(c_17055,plain,
! [X_374] : less_equal(X_374,divide(X_374,zero)),
inference(resolution,[status(thm)],[c_16911,c_4]) ).
tff(c_48,plain,
! [X_20,Y_21] :
( ( divide(X_20,Y_21) = X_20 )
| ~ less_equal(X_20,divide(X_20,Y_21)) ),
inference(resolution,[status(thm)],[c_29,c_41]) ).
tff(c_17454,plain,
! [X_378] : ( divide(X_378,zero) = X_378 ),
inference(resolution,[status(thm)],[c_17055,c_48]) ).
tff(c_17756,plain,
! [X_378] : quotient(X_378,zero,X_378),
inference(superposition,[status(thm),theory(equality)],[c_17454,c_16]) ).
tff(c_20,plain,
~ quotient(x,zero,x),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_17865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17756,c_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN004-1 : 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
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 13:08:12 EDT 2023
% 0.13/0.36 % CPUTime :
% 8.65/3.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.65/3.18
% 8.65/3.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.65/3.21
% 8.65/3.21 Inference rules
% 8.65/3.21 ----------------------
% 8.65/3.21 #Ref : 0
% 8.65/3.21 #Sup : 4371
% 8.65/3.21 #Fact : 0
% 8.65/3.21 #Define : 0
% 8.65/3.21 #Split : 2
% 8.65/3.21 #Chain : 0
% 8.65/3.21 #Close : 0
% 8.65/3.21
% 8.65/3.21 Ordering : KBO
% 8.65/3.21
% 8.65/3.21 Simplification rules
% 8.65/3.21 ----------------------
% 8.65/3.21 #Subsume : 682
% 8.65/3.21 #Demod : 3757
% 8.65/3.21 #Tautology : 2972
% 8.65/3.21 #SimpNegUnit : 0
% 8.65/3.21 #BackRed : 35
% 8.65/3.21
% 8.65/3.21 #Partial instantiations: 0
% 8.65/3.21 #Strategies tried : 1
% 8.65/3.21
% 8.65/3.21 Timing (in seconds)
% 8.65/3.21 ----------------------
% 8.65/3.21 Preprocessing : 0.45
% 8.65/3.21 Parsing : 0.25
% 8.65/3.21 CNF conversion : 0.02
% 8.65/3.21 Main loop : 1.64
% 8.65/3.21 Inferencing : 0.56
% 8.65/3.21 Reduction : 0.55
% 8.65/3.21 Demodulation : 0.42
% 8.65/3.21 BG Simplification : 0.05
% 8.65/3.21 Subsumption : 0.39
% 8.65/3.21 Abstraction : 0.06
% 8.65/3.21 MUC search : 0.00
% 8.65/3.21 Cooper : 0.00
% 8.65/3.21 Total : 2.14
% 8.65/3.21 Index Insertion : 0.00
% 8.65/3.21 Index Deletion : 0.00
% 8.65/3.21 Index Matching : 0.00
% 8.65/3.21 BG Taut test : 0.00
%------------------------------------------------------------------------------