TSTP Solution File: HEN007-5 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN007-5 : 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 : 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 10:42:16 EDT 2023
% Result : Unsatisfiable 7.50s 2.77s
% Output : CNFRefutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 26 unt; 6 typ; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ divide > #nlpp > zero > identity > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
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_51,axiom,
! [X,Y] : ( divide(divide(X,Y),X) = zero ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Z,Y] : ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| ( divide(Y,X) != zero )
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_81,axiom,
divide(a,b) = zero,
file(unknown,unknown) ).
tff(f_80,axiom,
! [X,Y,Z] :
( ( divide(X,Y) != zero )
| ( divide(Y,Z) != zero )
| ( divide(X,Z) = zero ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
divide(divide(c,b),divide(c,a)) != zero,
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2] : ( divide(divide(X_1,Y_2),X_1) = zero ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_199,plain,
! [X_27,Z_28,Y_29] : ( divide(divide(divide(X_27,Z_28),divide(Y_29,Z_28)),divide(divide(X_27,Y_29),Z_28)) = zero ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_263,plain,
! [X_1,Y_2] : ( divide(divide(divide(X_1,X_1),divide(Y_2,X_1)),zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_750,plain,
! [X_41,Y_42] : ( divide(divide(divide(X_41,X_41),divide(Y_42,X_41)),zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_78,plain,
! [Y_17,X_18] :
( ( Y_17 = X_18 )
| ( divide(Y_17,X_18) != zero )
| ( divide(X_18,Y_17) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_87,plain,
! [X_1,Y_2] :
( ( divide(X_1,Y_2) = X_1 )
| ( divide(X_1,divide(X_1,Y_2)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_78]) ).
tff(c_770,plain,
! [X_41,Y_42] :
( ( divide(divide(divide(X_41,X_41),divide(Y_42,X_41)),zero) = divide(divide(X_41,X_41),divide(Y_42,X_41)) )
| ( divide(divide(divide(X_41,X_41),divide(Y_42,X_41)),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_750,c_87]) ).
tff(c_871,plain,
! [X_43,Y_44] : ( divide(divide(X_43,X_43),divide(Y_44,X_43)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_263,c_263,c_770]) ).
tff(c_902,plain,
! [X_43] : ( divide(divide(X_43,X_43),X_43) = divide(X_43,X_43) ),
inference(superposition,[status(thm),theory(equality)],[c_871,c_87]) ).
tff(c_984,plain,
! [X_43] : ( divide(X_43,X_43) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_902]) ).
tff(c_6,plain,
! [X_6] : ( divide(zero,X_6) = zero ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1993,plain,
! [X_58,X_59] : ( divide(divide(divide(X_58,X_59),zero),divide(divide(X_58,zero),X_59)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_199]) ).
tff(c_2107,plain,
! [X_58] : ( divide(divide(divide(X_58,divide(X_58,zero)),zero),zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_984,c_1993]) ).
tff(c_5300,plain,
! [X_87] : ( divide(divide(divide(X_87,divide(X_87,zero)),zero),zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_984,c_1993]) ).
tff(c_5376,plain,
! [X_87] :
( ( divide(divide(divide(X_87,divide(X_87,zero)),zero),zero) = divide(divide(X_87,divide(X_87,zero)),zero) )
| ( divide(divide(divide(X_87,divide(X_87,zero)),zero),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_5300,c_87]) ).
tff(c_5472,plain,
! [X_87] : ( divide(divide(X_87,divide(X_87,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_2107,c_2107,c_5376]) ).
tff(c_6145,plain,
! [X_92] : ( divide(divide(X_92,divide(X_92,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_2107,c_2107,c_5376]) ).
tff(c_6245,plain,
! [X_92] :
( ( divide(divide(X_92,divide(X_92,zero)),zero) = divide(X_92,divide(X_92,zero)) )
| ( divide(divide(X_92,divide(X_92,zero)),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_6145,c_87]) ).
tff(c_6373,plain,
! [X_93] : ( divide(X_93,divide(X_93,zero)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_5472,c_5472,c_6245]) ).
tff(c_6604,plain,
! [X_93] : ( divide(X_93,zero) = X_93 ),
inference(superposition,[status(thm),theory(equality)],[c_6373,c_87]) ).
tff(c_14,plain,
divide(a,b) = zero,
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1412,plain,
! [X_50] : ( divide(divide(divide(X_50,b),zero),divide(divide(X_50,a),b)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_199]) ).
tff(c_112,plain,
! [X_21,Z_22,Y_23] :
( ( divide(X_21,Z_22) = zero )
| ( divide(Y_23,Z_22) != zero )
| ( divide(X_21,Y_23) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_121,plain,
! [X_21,X_1,Y_2] :
( ( divide(X_21,X_1) = zero )
| ( divide(X_21,divide(X_1,Y_2)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_112]) ).
tff(c_1522,plain,
! [X_50] : ( divide(divide(divide(X_50,b),zero),divide(X_50,a)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1412,c_121]) ).
tff(c_6630,plain,
! [X_50] : ( divide(divide(X_50,b),divide(X_50,a)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_6604,c_1522]) ).
tff(c_16,plain,
divide(divide(c,b),divide(c,a)) != zero,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_8337,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6630,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-5 : 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 13:08:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.50/2.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/2.78
% 7.50/2.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.59/2.81
% 7.59/2.81 Inference rules
% 7.59/2.81 ----------------------
% 7.59/2.81 #Ref : 1
% 7.59/2.81 #Sup : 2054
% 7.59/2.81 #Fact : 0
% 7.59/2.81 #Define : 0
% 7.59/2.81 #Split : 3
% 7.59/2.81 #Chain : 0
% 7.59/2.81 #Close : 0
% 7.59/2.81
% 7.59/2.81 Ordering : KBO
% 7.59/2.81
% 7.59/2.81 Simplification rules
% 7.59/2.81 ----------------------
% 7.59/2.81 #Subsume : 193
% 7.59/2.81 #Demod : 2992
% 7.59/2.81 #Tautology : 1378
% 7.59/2.81 #SimpNegUnit : 1
% 7.59/2.81 #BackRed : 20
% 7.59/2.81
% 7.59/2.81 #Partial instantiations: 0
% 7.59/2.81 #Strategies tried : 1
% 7.59/2.81
% 7.59/2.81 Timing (in seconds)
% 7.59/2.81 ----------------------
% 7.59/2.81 Preprocessing : 0.41
% 7.59/2.81 Parsing : 0.23
% 7.59/2.81 CNF conversion : 0.02
% 7.59/2.81 Main loop : 1.33
% 7.59/2.81 Inferencing : 0.40
% 7.59/2.81 Reduction : 0.62
% 7.59/2.81 Demodulation : 0.52
% 7.59/2.81 BG Simplification : 0.03
% 7.59/2.81 Subsumption : 0.20
% 7.59/2.81 Abstraction : 0.05
% 7.59/2.81 MUC search : 0.00
% 7.59/2.81 Cooper : 0.00
% 7.59/2.81 Total : 1.80
% 7.59/2.81 Index Insertion : 0.00
% 7.59/2.81 Index Deletion : 0.00
% 7.59/2.81 Index Matching : 0.00
% 7.59/2.81 BG Taut test : 0.00
%------------------------------------------------------------------------------