TSTP Solution File: HEN010-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN010-3 : 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 : n015.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 10:42:19 EDT 2023
% Result : Unsatisfiable 36.08s 23.21s
% Output : CNFRefutation 36.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 37 unt; 5 typ; 0 def)
% Number of atoms : 99 ( 63 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 137 (; 137 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_62,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_79,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_20,plain,
! [X_18,Y_19] :
( ( divide(X_18,Y_19) = zero )
| ~ less_equal(X_18,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_31,plain,
! [X_10] : ( divide(zero,X_10) = zero ),
inference(resolution,[status(thm)],[c_10,c_20]) ).
tff(c_6,plain,
! [X_5,Y_6] : less_equal(divide(X_5,Y_6),X_5),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_30,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_20]) ).
tff(c_191,plain,
! [X_34,Z_35,Y_36] : less_equal(divide(divide(X_34,Z_35),divide(Y_36,Z_35)),divide(divide(X_34,Y_36),Z_35)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
! [Y_12,X_11] :
( ( Y_12 = X_11 )
| ~ less_equal(Y_12,X_11)
| ~ less_equal(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_785,plain,
! [X_51,Z_52,Y_53] :
( ( divide(divide(X_51,Z_52),divide(Y_53,Z_52)) = divide(divide(X_51,Y_53),Z_52) )
| ~ less_equal(divide(divide(X_51,Y_53),Z_52),divide(divide(X_51,Z_52),divide(Y_53,Z_52))) ),
inference(resolution,[status(thm)],[c_191,c_12]) ).
tff(c_832,plain,
! [X_5,Y_6,Z_52] :
( ( divide(divide(divide(X_5,Y_6),Z_52),divide(X_5,Z_52)) = divide(divide(divide(X_5,Y_6),X_5),Z_52) )
| ~ less_equal(divide(zero,Z_52),divide(divide(divide(X_5,Y_6),Z_52),divide(X_5,Z_52))) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_785]) ).
tff(c_895,plain,
! [X_5,Y_6,Z_52] : ( divide(divide(divide(X_5,Y_6),Z_52),divide(X_5,Z_52)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_31,c_31,c_30,c_832]) ).
tff(c_380,plain,
! [X_43,Y_44] : less_equal(divide(divide(X_43,X_43),divide(Y_44,X_43)),zero),
inference(superposition,[status(thm),theory(equality)],[c_30,c_191]) ).
tff(c_433,plain,
! [X_45] : less_equal(divide(divide(X_45,X_45),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_30,c_380]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ( divide(X_3,Y_4) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_103,plain,
! [Y_26,X_27] :
( ( Y_26 = X_27 )
| ~ less_equal(Y_26,X_27)
| ~ less_equal(X_27,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_112,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ less_equal(Y_4,X_3)
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_103]) ).
tff(c_436,plain,
! [X_45] :
( ( divide(divide(X_45,X_45),zero) = zero )
| ( divide(zero,divide(divide(X_45,X_45),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_433,c_112]) ).
tff(c_471,plain,
! [X_46] : ( divide(divide(X_46,X_46),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_436]) ).
tff(c_116,plain,
! [X_28] :
( ( zero = X_28 )
| ~ less_equal(X_28,zero) ),
inference(resolution,[status(thm)],[c_10,c_103]) ).
tff(c_129,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_116]) ).
tff(c_527,plain,
! [X_46] : ( divide(X_46,X_46) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_129]) ).
tff(c_1536,plain,
! [X_67,X_68] : less_equal(divide(divide(X_67,X_68),zero),divide(divide(X_67,zero),X_68)),
inference(superposition,[status(thm),theory(equality)],[c_31,c_191]) ).
tff(c_2551,plain,
! [X_75] : less_equal(divide(divide(X_75,divide(X_75,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_527,c_1536]) ).
tff(c_2554,plain,
! [X_75] :
( ( divide(divide(X_75,divide(X_75,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_75,divide(X_75,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_2551,c_112]) ).
tff(c_2610,plain,
! [X_76] : ( divide(divide(X_76,divide(X_76,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_2554]) ).
tff(c_246,plain,
! [Y_37,X_38] :
( ( Y_37 = X_38 )
| ~ less_equal(Y_37,X_38)
| ( divide(X_38,Y_37) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_103]) ).
tff(c_263,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ( divide(Y_4,X_3) != zero )
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_246]) ).
tff(c_2653,plain,
! [X_76] :
( ( divide(X_76,divide(X_76,zero)) = zero )
| ( divide(zero,divide(X_76,divide(X_76,zero))) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2610,c_263]) ).
tff(c_2791,plain,
! [X_77] : ( divide(X_77,divide(X_77,zero)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_2653]) ).
tff(c_2825,plain,
! [X_77] :
( ( divide(X_77,zero) = X_77 )
| ( divide(divide(X_77,zero),X_77) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2791,c_263]) ).
tff(c_2939,plain,
! [X_77] : ( divide(X_77,zero) = X_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_2825]) ).
tff(c_202,plain,
! [X_34,X_5,Y_6] : less_equal(divide(divide(X_34,X_5),zero),divide(divide(X_34,divide(X_5,Y_6)),X_5)),
inference(superposition,[status(thm),theory(equality)],[c_30,c_191]) ).
tff(c_3170,plain,
! [X_80,X_81,Y_82] : less_equal(divide(X_80,X_81),divide(divide(X_80,divide(X_81,Y_82)),X_81)),
inference(demodulation,[status(thm),theory(equality)],[c_2939,c_202]) ).
tff(c_3173,plain,
! [X_80,X_81,Y_82] :
( ( divide(divide(X_80,divide(X_81,Y_82)),X_81) = divide(X_80,X_81) )
| ( divide(divide(divide(X_80,divide(X_81,Y_82)),X_81),divide(X_80,X_81)) != zero ) ),
inference(resolution,[status(thm)],[c_3170,c_112]) ).
tff(c_4408,plain,
! [X_94,X_95,Y_96] : ( divide(divide(X_94,divide(X_95,Y_96)),X_95) = divide(X_94,X_95) ),
inference(demodulation,[status(thm),theory(equality)],[c_895,c_3173]) ).
tff(c_4663,plain,
! [X_97,X_98,Y_99] : less_equal(divide(X_97,X_98),divide(X_97,divide(X_98,Y_99))),
inference(superposition,[status(thm),theory(equality)],[c_4408,c_6]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( ( divide(X_1,Y_2) = zero )
| ~ less_equal(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_4788,plain,
! [X_97,X_98,Y_99] : ( divide(divide(X_97,X_98),divide(X_97,divide(X_98,Y_99))) = zero ),
inference(resolution,[status(thm)],[c_4663,c_2]) ).
tff(c_236,plain,
! [X_34,Z_35,Y_36] : ( divide(divide(divide(X_34,Z_35),divide(Y_36,Z_35)),divide(divide(X_34,Y_36),Z_35)) = zero ),
inference(resolution,[status(thm)],[c_191,c_2]) ).
tff(c_797,plain,
! [X_51,X_34,Y_36,Z_35] :
( ( divide(divide(X_51,divide(divide(X_34,Y_36),Z_35)),divide(divide(divide(X_34,Z_35),divide(Y_36,Z_35)),divide(divide(X_34,Y_36),Z_35))) = divide(divide(X_51,divide(divide(X_34,Z_35),divide(Y_36,Z_35))),divide(divide(X_34,Y_36),Z_35)) )
| ~ less_equal(divide(divide(X_51,divide(divide(X_34,Z_35),divide(Y_36,Z_35))),divide(divide(X_34,Y_36),Z_35)),divide(divide(X_51,divide(divide(X_34,Y_36),Z_35)),zero)) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_785]) ).
tff(c_876,plain,
! [X_51,X_34,Z_35,Y_36] :
( ( divide(divide(X_51,divide(divide(X_34,Z_35),divide(Y_36,Z_35))),divide(divide(X_34,Y_36),Z_35)) = divide(divide(X_51,divide(divide(X_34,Y_36),Z_35)),zero) )
| ~ less_equal(divide(divide(X_51,divide(divide(X_34,Z_35),divide(Y_36,Z_35))),divide(divide(X_34,Y_36),Z_35)),divide(divide(X_51,divide(divide(X_34,Y_36),Z_35)),zero)) ),
inference(demodulation,[status(thm),theory(equality)],[c_236,c_797]) ).
tff(c_44326,plain,
! [X_251,X_252,Z_253,Y_254] :
( ( divide(divide(X_251,divide(divide(X_252,Z_253),divide(Y_254,Z_253))),divide(divide(X_252,Y_254),Z_253)) = divide(X_251,divide(divide(X_252,Y_254),Z_253)) )
| ~ less_equal(divide(divide(X_251,divide(divide(X_252,Z_253),divide(Y_254,Z_253))),divide(divide(X_252,Y_254),Z_253)),divide(X_251,divide(divide(X_252,Y_254),Z_253))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2939,c_2939,c_876]) ).
tff(c_45376,plain,
! [X_252,Y_99,X_98] :
( ( divide(divide(divide(divide(X_252,Y_99),X_98),divide(divide(X_252,Y_99),divide(X_98,Y_99))),divide(divide(X_252,X_98),Y_99)) = divide(divide(divide(X_252,Y_99),X_98),divide(divide(X_252,X_98),Y_99)) )
| ~ less_equal(divide(zero,divide(divide(X_252,X_98),Y_99)),divide(divide(divide(X_252,Y_99),X_98),divide(divide(X_252,X_98),Y_99))) ),
inference(superposition,[status(thm),theory(equality)],[c_4788,c_44326]) ).
tff(c_46274,plain,
! [X_252,Y_99,X_98] : ( divide(divide(divide(X_252,Y_99),X_98),divide(divide(X_252,X_98),Y_99)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_31,c_31,c_4788,c_45376]) ).
tff(c_47748,plain,
! [X_258,Y_259,X_260] : ( divide(divide(divide(X_258,Y_259),X_260),divide(divide(X_258,X_260),Y_259)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_31,c_31,c_4788,c_45376]) ).
tff(c_48257,plain,
! [X_258,Y_259,X_260] :
( ( divide(divide(X_258,Y_259),X_260) = divide(divide(X_258,X_260),Y_259) )
| ( divide(divide(divide(X_258,X_260),Y_259),divide(divide(X_258,Y_259),X_260)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_47748,c_263]) ).
tff(c_49354,plain,
! [X_261,Y_262,X_263] : ( divide(divide(X_261,Y_262),X_263) = divide(divide(X_261,X_263),Y_262) ),
inference(demodulation,[status(thm),theory(equality)],[c_46274,c_48257]) ).
tff(c_804,plain,
! [X_51,Y_53] :
( ( divide(divide(X_51,divide(X_51,Y_53)),divide(Y_53,divide(X_51,Y_53))) = divide(divide(X_51,Y_53),divide(X_51,Y_53)) )
| ~ less_equal(zero,divide(divide(X_51,divide(X_51,Y_53)),divide(Y_53,divide(X_51,Y_53)))) ),
inference(superposition,[status(thm),theory(equality)],[c_527,c_785]) ).
tff(c_10196,plain,
! [X_136,Y_137] : ( divide(divide(X_136,divide(X_136,Y_137)),divide(Y_137,divide(X_136,Y_137))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_527,c_804]) ).
tff(c_3276,plain,
! [X_80,X_81,Y_82] : ( divide(divide(X_80,divide(X_81,Y_82)),X_81) = divide(X_80,X_81) ),
inference(demodulation,[status(thm),theory(equality)],[c_895,c_3173]) ).
tff(c_10328,plain,
! [X_136,Y_137] : ( divide(divide(X_136,divide(X_136,Y_137)),Y_137) = divide(zero,Y_137) ),
inference(superposition,[status(thm),theory(equality)],[c_10196,c_3276]) ).
tff(c_10669,plain,
! [X_136,Y_137] : ( divide(divide(X_136,divide(X_136,Y_137)),Y_137) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_10328]) ).
tff(c_8,plain,
! [X_7,Z_8,Y_9] : less_equal(divide(divide(X_7,Z_8),divide(Y_9,Z_8)),divide(divide(X_7,Y_9),Z_8)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_21204,plain,
! [X_183,Z_184,Y_185] :
( ( divide(divide(X_183,Z_184),divide(Y_185,Z_184)) = divide(divide(X_183,Y_185),Z_184) )
| ( divide(divide(divide(X_183,Y_185),Z_184),divide(divide(X_183,Z_184),divide(Y_185,Z_184))) != zero ) ),
inference(resolution,[status(thm)],[c_8,c_246]) ).
tff(c_21355,plain,
! [X_183,Y_137,X_136] :
( ( divide(divide(X_183,Y_137),divide(divide(X_136,divide(X_136,Y_137)),Y_137)) = divide(divide(X_183,divide(X_136,divide(X_136,Y_137))),Y_137) )
| ( divide(divide(divide(X_183,divide(X_136,divide(X_136,Y_137))),Y_137),divide(divide(X_183,Y_137),zero)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_10669,c_21204]) ).
tff(c_21780,plain,
! [X_183,X_136,Y_137] : ( divide(divide(X_183,divide(X_136,divide(X_136,Y_137))),Y_137) = divide(X_183,Y_137) ),
inference(demodulation,[status(thm),theory(equality)],[c_895,c_2939,c_2939,c_10669,c_21355]) ).
tff(c_49625,plain,
! [X_261,Y_262,X_136] : ( divide(divide(X_261,Y_262),divide(X_136,divide(X_136,Y_262))) = divide(X_261,Y_262) ),
inference(superposition,[status(thm),theory(equality)],[c_49354,c_21780]) ).
tff(c_16,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_220242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49625,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 13:25:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 36.08/23.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.08/23.22
% 36.08/23.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 36.19/23.26
% 36.19/23.26 Inference rules
% 36.19/23.26 ----------------------
% 36.19/23.26 #Ref : 0
% 36.19/23.26 #Sup : 53147
% 36.19/23.26 #Fact : 0
% 36.19/23.26 #Define : 0
% 36.19/23.26 #Split : 3
% 36.19/23.26 #Chain : 0
% 36.19/23.26 #Close : 0
% 36.19/23.26
% 36.19/23.26 Ordering : KBO
% 36.19/23.26
% 36.19/23.26 Simplification rules
% 36.19/23.26 ----------------------
% 36.19/23.26 #Subsume : 2635
% 36.19/23.26 #Demod : 97987
% 36.19/23.26 #Tautology : 36368
% 36.19/23.26 #SimpNegUnit : 59
% 36.19/23.26 #BackRed : 56
% 36.19/23.26
% 36.19/23.26 #Partial instantiations: 0
% 36.19/23.26 #Strategies tried : 1
% 36.19/23.26
% 36.19/23.26 Timing (in seconds)
% 36.19/23.26 ----------------------
% 36.19/23.26 Preprocessing : 0.40
% 36.19/23.26 Parsing : 0.22
% 36.19/23.26 CNF conversion : 0.02
% 36.19/23.26 Main loop : 21.78
% 36.19/23.26 Inferencing : 2.11
% 36.19/23.26 Reduction : 16.17
% 36.19/23.26 Demodulation : 15.44
% 36.19/23.26 BG Simplification : 0.14
% 36.19/23.26 Subsumption : 2.61
% 36.19/23.26 Abstraction : 0.36
% 36.19/23.26 MUC search : 0.00
% 36.19/23.26 Cooper : 0.00
% 36.19/23.26 Total : 22.24
% 36.19/23.26 Index Insertion : 0.00
% 36.19/23.26 Index Deletion : 0.00
% 36.19/23.26 Index Matching : 0.00
% 36.19/23.26 BG Taut test : 0.00
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