TSTP Solution File: BOO012-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% 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 : n003.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 10:34:24 EDT 2023
% Result : Unsatisfiable 4.16s 2.12s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 39 unt; 6 typ; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > inverse > x > multiplicative_identity > additive_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_54,axiom,
! [X] : ( multiply(X,multiplicative_identity) = X ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : ( add(X,inverse(X)) = multiplicative_identity ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : ( add(X,additive_identity) = X ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X] : ( multiply(X,inverse(X)) = additive_identity ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y,Z] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X,Y] : ( multiply(X,Y) = multiply(Y,X) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y,Z] : ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
inverse(inverse(x)) != x,
file(unknown,unknown) ).
tff(c_12,plain,
! [X_12] : ( multiply(X_12,multiplicative_identity) = X_12 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_14,plain,
! [X_13] : ( add(X_13,inverse(X_13)) = multiplicative_identity ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_51,plain,
! [Y_19,X_20] : ( add(Y_19,X_20) = add(X_20,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_10,plain,
! [X_11] : ( add(X_11,additive_identity) = X_11 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_67,plain,
! [X_20] : ( add(additive_identity,X_20) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_10]) ).
tff(c_16,plain,
! [X_14] : ( multiply(X_14,inverse(X_14)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_321,plain,
! [X_28,Y_29,Z_30] : ( add(multiply(X_28,Y_29),multiply(X_28,Z_30)) = multiply(X_28,add(Y_29,Z_30)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_372,plain,
! [X_14,Z_30] : ( multiply(X_14,add(inverse(X_14),Z_30)) = add(additive_identity,multiply(X_14,Z_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_321]) ).
tff(c_938,plain,
! [X_43,Z_44] : ( multiply(X_43,add(inverse(X_43),Z_44)) = multiply(X_43,Z_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_372]) ).
tff(c_1008,plain,
! [X_43] : ( multiply(X_43,inverse(inverse(X_43))) = multiply(X_43,multiplicative_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_938]) ).
tff(c_1031,plain,
! [X_43] : ( multiply(X_43,inverse(inverse(X_43))) = X_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1008]) ).
tff(c_156,plain,
! [Y_22,X_23] : ( multiply(Y_22,X_23) = multiply(X_23,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_194,plain,
! [X_12] : ( multiply(multiplicative_identity,X_12) = X_12 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_156]) ).
tff(c_263,plain,
! [X_25,Y_26,Z_27] : ( multiply(add(X_25,Y_26),add(X_25,Z_27)) = add(X_25,multiply(Y_26,Z_27)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_302,plain,
! [X_13,Z_27] : ( add(X_13,multiply(inverse(X_13),Z_27)) = multiply(multiplicative_identity,add(X_13,Z_27)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_263]) ).
tff(c_389,plain,
! [X_31,Z_32] : ( add(X_31,multiply(inverse(X_31),Z_32)) = add(X_31,Z_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_194,c_302]) ).
tff(c_427,plain,
! [X_31] : ( add(X_31,inverse(inverse(X_31))) = add(X_31,additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_389]) ).
tff(c_439,plain,
! [X_31] : ( add(X_31,inverse(inverse(X_31))) = X_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_427]) ).
tff(c_2,plain,
! [Y_2,X_1] : ( add(Y_2,X_1) = add(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_375,plain,
! [X_14,Y_29] : ( multiply(X_14,add(Y_29,inverse(X_14))) = add(multiply(X_14,Y_29),additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_321]) ).
tff(c_747,plain,
! [X_39,Y_40] : ( multiply(X_39,add(Y_40,inverse(X_39))) = multiply(X_39,Y_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_375]) ).
tff(c_800,plain,
! [X_39] : ( multiply(X_39,inverse(X_39)) = multiply(X_39,additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_747]) ).
tff(c_826,plain,
! [X_39] : ( multiply(X_39,additive_identity) = additive_identity ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_800]) ).
tff(c_311,plain,
! [X_11,Y_26] : ( multiply(add(X_11,Y_26),X_11) = add(X_11,multiply(Y_26,additive_identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_263]) ).
tff(c_1923,plain,
! [X_60,Y_61] : ( multiply(add(X_60,Y_61),X_60) = X_60 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_826,c_311]) ).
tff(c_2180,plain,
! [X_64,Y_65] : ( multiply(add(X_64,Y_65),Y_65) = Y_65 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1923]) ).
tff(c_2251,plain,
! [X_31] : ( multiply(X_31,inverse(inverse(X_31))) = inverse(inverse(X_31)) ),
inference(superposition,[status(thm),theory(equality)],[c_439,c_2180]) ).
tff(c_2315,plain,
! [X_31] : ( inverse(inverse(X_31)) = X_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_1031,c_2251]) ).
tff(c_18,plain,
inverse(inverse(x)) != x,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_2340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2315,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 18:35:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.16/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.16/2.13
% 4.16/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.16/2.16
% 4.16/2.16 Inference rules
% 4.16/2.16 ----------------------
% 4.16/2.16 #Ref : 0
% 4.16/2.16 #Sup : 543
% 4.16/2.16 #Fact : 0
% 4.16/2.16 #Define : 0
% 4.16/2.16 #Split : 0
% 4.16/2.16 #Chain : 0
% 4.16/2.16 #Close : 0
% 4.16/2.16
% 4.16/2.16 Ordering : KBO
% 4.16/2.16
% 4.16/2.16 Simplification rules
% 4.16/2.16 ----------------------
% 4.16/2.16 #Subsume : 0
% 4.16/2.16 #Demod : 458
% 4.16/2.16 #Tautology : 411
% 4.16/2.16 #SimpNegUnit : 0
% 4.16/2.16 #BackRed : 7
% 4.16/2.16
% 4.16/2.16 #Partial instantiations: 0
% 4.16/2.16 #Strategies tried : 1
% 4.16/2.16
% 4.16/2.16 Timing (in seconds)
% 4.16/2.16 ----------------------
% 4.38/2.16 Preprocessing : 0.41
% 4.38/2.16 Parsing : 0.22
% 4.38/2.16 CNF conversion : 0.02
% 4.38/2.16 Main loop : 0.59
% 4.38/2.16 Inferencing : 0.21
% 4.38/2.16 Reduction : 0.23
% 4.38/2.16 Demodulation : 0.19
% 4.38/2.16 BG Simplification : 0.02
% 4.38/2.16 Subsumption : 0.09
% 4.38/2.16 Abstraction : 0.03
% 4.38/2.16 MUC search : 0.00
% 4.38/2.16 Cooper : 0.00
% 4.38/2.16 Total : 1.05
% 4.38/2.16 Index Insertion : 0.00
% 4.38/2.16 Index Deletion : 0.00
% 4.38/2.16 Index Matching : 0.00
% 4.38/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------