TSTP Solution File: HEN003-5 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN003-5 : 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/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 : n021.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 2.84s 1.70s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 26 (; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ divide > #nlpp > zero > identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $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_74,axiom,
divide(a,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_76,plain,
! [X_16,Z_17,Y_18] : ( divide(divide(divide(X_16,Z_17),divide(Y_18,Z_17)),divide(divide(X_16,Y_18),Z_17)) = zero ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_125,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_76]) ).
tff(c_209,plain,
! [X_23,Y_24] : ( divide(divide(divide(X_23,X_23),divide(Y_24,X_23)),zero) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_76]) ).
tff(c_66,plain,
! [Y_14,X_15] :
( ( Y_14 = X_15 )
| ( divide(Y_14,X_15) != zero )
| ( divide(X_15,Y_14) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_73,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_66]) ).
tff(c_217,plain,
! [X_23,Y_24] :
( ( divide(divide(divide(X_23,X_23),divide(Y_24,X_23)),zero) = divide(divide(X_23,X_23),divide(Y_24,X_23)) )
| ( divide(divide(divide(X_23,X_23),divide(Y_24,X_23)),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_209,c_73]) ).
tff(c_281,plain,
! [X_25,Y_26] : ( divide(divide(X_25,X_25),divide(Y_26,X_25)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_125,c_217]) ).
tff(c_297,plain,
! [X_25] : ( divide(divide(X_25,X_25),X_25) = divide(X_25,X_25) ),
inference(superposition,[status(thm),theory(equality)],[c_281,c_73]) ).
tff(c_351,plain,
! [X_25] : ( divide(X_25,X_25) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_297]) ).
tff(c_12,plain,
divide(a,a) != zero,
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_351,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.18/0.35 % Computer : n021.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 13:10:21 EDT 2023
% 0.18/0.35 % CPUTime :
% 2.84/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/1.70
% 2.84/1.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.84/1.74
% 2.84/1.74 Inference rules
% 2.84/1.74 ----------------------
% 2.84/1.74 #Ref : 0
% 2.84/1.74 #Sup : 88
% 2.84/1.74 #Fact : 0
% 2.84/1.74 #Define : 0
% 2.84/1.74 #Split : 0
% 2.84/1.74 #Chain : 0
% 2.84/1.74 #Close : 0
% 2.84/1.74
% 2.84/1.74 Ordering : KBO
% 2.84/1.74
% 2.84/1.74 Simplification rules
% 2.84/1.74 ----------------------
% 2.84/1.74 #Subsume : 4
% 2.84/1.74 #Demod : 84
% 2.84/1.74 #Tautology : 52
% 2.84/1.74 #SimpNegUnit : 0
% 2.84/1.74 #BackRed : 3
% 2.84/1.74
% 2.84/1.74 #Partial instantiations: 0
% 2.84/1.74 #Strategies tried : 1
% 2.84/1.74
% 2.84/1.74 Timing (in seconds)
% 2.84/1.74 ----------------------
% 2.84/1.74 Preprocessing : 0.39
% 2.84/1.74 Parsing : 0.22
% 2.84/1.74 CNF conversion : 0.02
% 2.84/1.74 Main loop : 0.29
% 2.84/1.74 Inferencing : 0.11
% 2.84/1.74 Reduction : 0.09
% 2.84/1.74 Demodulation : 0.07
% 2.84/1.74 BG Simplification : 0.01
% 2.84/1.74 Subsumption : 0.05
% 2.84/1.74 Abstraction : 0.01
% 2.84/1.74 MUC search : 0.00
% 2.84/1.74 Cooper : 0.00
% 2.84/1.74 Total : 0.73
% 2.84/1.74 Index Insertion : 0.00
% 2.84/1.74 Index Deletion : 0.00
% 2.84/1.74 Index Matching : 0.00
% 2.84/1.74 BG Taut test : 0.00
%------------------------------------------------------------------------------