TSTP Solution File: HEN007-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN007-3 : 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/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 10:42:16 EDT 2023
% Result : Unsatisfiable 4.22s 2.38s
% Output : CNFRefutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 29 unt; 7 typ; 0 def)
% Number of atoms : 75 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > c > b > 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(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(c,type,
c: $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_78,axiom,
less_equal(a,b),
file(unknown,unknown) ).
tff(f_80,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_22,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_37,plain,
! [X_10] : ( divide(zero,X_10) = zero ),
inference(resolution,[status(thm)],[c_10,c_22]) ).
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_35,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_22]) ).
tff(c_158,plain,
! [X_29,Z_30,Y_31] : less_equal(divide(divide(X_29,Z_30),divide(Y_31,Z_30)),divide(divide(X_29,Y_31),Z_30)),
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_910,plain,
! [X_52,Z_53,Y_54] :
( ( divide(divide(X_52,Z_53),divide(Y_54,Z_53)) = divide(divide(X_52,Y_54),Z_53) )
| ~ less_equal(divide(divide(X_52,Y_54),Z_53),divide(divide(X_52,Z_53),divide(Y_54,Z_53))) ),
inference(resolution,[status(thm)],[c_158,c_12]) ).
tff(c_957,plain,
! [X_5,Y_6,Z_53] :
( ( divide(divide(divide(X_5,Y_6),Z_53),divide(X_5,Z_53)) = divide(divide(divide(X_5,Y_6),X_5),Z_53) )
| ~ less_equal(divide(zero,Z_53),divide(divide(divide(X_5,Y_6),Z_53),divide(X_5,Z_53))) ),
inference(superposition,[status(thm),theory(equality)],[c_35,c_910]) ).
tff(c_1029,plain,
! [X_5,Y_6,Z_53] : ( divide(divide(divide(X_5,Y_6),Z_53),divide(X_5,Z_53)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_37,c_37,c_35,c_957]) ).
tff(c_614,plain,
! [X_47,Y_48] : less_equal(divide(divide(X_47,X_47),divide(Y_48,X_47)),zero),
inference(superposition,[status(thm),theory(equality)],[c_35,c_158]) ).
tff(c_673,plain,
! [X_49] : less_equal(divide(divide(X_49,X_49),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_35,c_614]) ).
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_125,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_136,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_125]) ).
tff(c_676,plain,
! [X_49] :
( ( divide(divide(X_49,X_49),zero) = zero )
| ( divide(zero,divide(divide(X_49,X_49),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_673,c_136]) ).
tff(c_711,plain,
! [X_50] : ( divide(divide(X_50,X_50),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_676]) ).
tff(c_224,plain,
! [X_32] :
( ( zero = X_32 )
| ~ less_equal(X_32,zero) ),
inference(resolution,[status(thm)],[c_10,c_125]) ).
tff(c_237,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_224]) ).
tff(c_780,plain,
! [X_50] : ( divide(X_50,X_50) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_711,c_237]) ).
tff(c_2521,plain,
! [X_75,X_76] : less_equal(divide(divide(X_75,X_76),zero),divide(divide(X_75,zero),X_76)),
inference(superposition,[status(thm),theory(equality)],[c_37,c_158]) ).
tff(c_3430,plain,
! [X_80] : less_equal(divide(divide(X_80,divide(X_80,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_780,c_2521]) ).
tff(c_3433,plain,
! [X_80] :
( ( divide(divide(X_80,divide(X_80,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_80,divide(X_80,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_3430,c_136]) ).
tff(c_3488,plain,
! [X_81] : ( divide(divide(X_81,divide(X_81,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_3433]) ).
tff(c_291,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_125]) ).
tff(c_311,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_291]) ).
tff(c_3516,plain,
! [X_81] :
( ( divide(X_81,divide(X_81,zero)) = zero )
| ( divide(zero,divide(X_81,divide(X_81,zero))) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_3488,c_311]) ).
tff(c_3661,plain,
! [X_82] : ( divide(X_82,divide(X_82,zero)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_3516]) ).
tff(c_3684,plain,
! [X_82] :
( ( divide(X_82,zero) = X_82 )
| ( divide(divide(X_82,zero),X_82) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_3661,c_311]) ).
tff(c_3818,plain,
! [X_82] : ( divide(X_82,zero) = X_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_35,c_3684]) ).
tff(c_16,plain,
less_equal(a,b),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_38,plain,
divide(a,b) = zero,
inference(resolution,[status(thm)],[c_16,c_22]) ).
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_437,plain,
! [X_43,Z_44,Y_45] : ( divide(divide(divide(X_43,Z_44),divide(Y_45,Z_44)),divide(divide(X_43,Y_45),Z_44)) = zero ),
inference(resolution,[status(thm)],[c_158,c_2]) ).
tff(c_535,plain,
! [X_43] : ( divide(divide(divide(X_43,b),zero),divide(divide(X_43,a),b)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_437]) ).
tff(c_4370,plain,
! [X_87] : ( divide(divide(X_87,b),divide(divide(X_87,a),b)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_535]) ).
tff(c_4380,plain,
! [X_87] :
( ( divide(divide(X_87,a),b) = divide(X_87,b) )
| ( divide(divide(divide(X_87,a),b),divide(X_87,b)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_4370,c_311]) ).
tff(c_4550,plain,
! [X_88] : ( divide(divide(X_88,a),b) = divide(X_88,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_1029,c_4380]) ).
tff(c_4633,plain,
! [X_88] : less_equal(divide(X_88,b),divide(X_88,a)),
inference(superposition,[status(thm),theory(equality)],[c_4550,c_6]) ).
tff(c_18,plain,
~ less_equal(divide(c,b),divide(c,a)),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_4691,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4633,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN007-3 : 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 13:06:18 EDT 2023
% 0.17/0.35 % CPUTime :
% 4.22/2.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.22/2.38
% 4.22/2.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.49/2.42
% 5.49/2.42 Inference rules
% 5.49/2.42 ----------------------
% 5.49/2.42 #Ref : 0
% 5.49/2.42 #Sup : 1112
% 5.49/2.42 #Fact : 0
% 5.49/2.42 #Define : 0
% 5.49/2.42 #Split : 1
% 5.49/2.42 #Chain : 0
% 5.49/2.42 #Close : 0
% 5.49/2.42
% 5.49/2.42 Ordering : KBO
% 5.49/2.42
% 5.49/2.42 Simplification rules
% 5.49/2.42 ----------------------
% 5.49/2.42 #Subsume : 69
% 5.49/2.42 #Demod : 1620
% 5.49/2.42 #Tautology : 778
% 5.49/2.42 #SimpNegUnit : 0
% 5.49/2.42 #BackRed : 23
% 5.49/2.42
% 5.49/2.42 #Partial instantiations: 0
% 5.49/2.42 #Strategies tried : 1
% 5.49/2.42
% 5.49/2.42 Timing (in seconds)
% 5.49/2.42 ----------------------
% 5.53/2.42 Preprocessing : 0.41
% 5.53/2.42 Parsing : 0.22
% 5.53/2.42 CNF conversion : 0.02
% 5.53/2.42 Main loop : 0.88
% 5.53/2.42 Inferencing : 0.30
% 5.53/2.42 Reduction : 0.37
% 5.53/2.42 Demodulation : 0.30
% 5.53/2.42 BG Simplification : 0.03
% 5.53/2.42 Subsumption : 0.13
% 5.53/2.42 Abstraction : 0.04
% 5.53/2.42 MUC search : 0.00
% 5.53/2.42 Cooper : 0.00
% 5.53/2.42 Total : 1.34
% 5.53/2.42 Index Insertion : 0.00
% 5.53/2.42 Index Deletion : 0.00
% 5.53/2.42 Index Matching : 0.00
% 5.53/2.42 BG Taut test : 0.00
%------------------------------------------------------------------------------