TSTP Solution File: BOO013-4 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO013-4 : 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/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 : n029.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 10:34:25 EDT 2023
% Result : Unsatisfiable 3.51s 2.12s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 64 ( 57 unt; 7 typ; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 62 (; 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > inverse > multiplicative_identity > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $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(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_64,axiom,
b != inverse(a),
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_46,axiom,
! [X,Y] : ( multiply(X,Y) = multiply(Y,X) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X] : ( multiply(X,multiplicative_identity) = X ),
file(unknown,unknown) ).
tff(f_61,axiom,
add(a,b) = multiplicative_identity,
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_44,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_62,axiom,
multiply(a,b) = additive_identity,
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : ( add(X,inverse(X)) = multiplicative_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(c_22,plain,
inverse(a) != b,
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_10,plain,
! [X_11] : ( add(X_11,additive_identity) = X_11 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_16,plain,
! [X_14] : ( multiply(X_14,inverse(X_14)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_4,plain,
! [Y_4,X_3] : ( multiply(Y_4,X_3) = multiply(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_12,plain,
! [X_12] : ( multiply(X_12,multiplicative_identity) = X_12 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_18,plain,
add(a,b) = multiplicative_identity,
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_273,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_327,plain,
! [Y_26] : ( multiply(add(a,Y_26),multiplicative_identity) = add(a,multiply(Y_26,b)) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_273]) ).
tff(c_532,plain,
! [Y_33] : ( add(a,multiply(Y_33,b)) = add(a,Y_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_327]) ).
tff(c_566,plain,
! [X_34] : ( add(a,multiply(b,X_34)) = add(a,X_34) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_532]) ).
tff(c_598,plain,
add(a,inverse(b)) = add(a,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_16,c_566]) ).
tff(c_611,plain,
add(a,inverse(b)) = a,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_598]) ).
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_20,plain,
multiply(a,b) = additive_identity,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_155,plain,
! [Y_22,X_23] : ( multiply(Y_22,X_23) = multiply(X_23,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_190,plain,
! [X_12] : ( multiply(multiplicative_identity,X_12) = X_12 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_155]) ).
tff(c_14,plain,
! [X_13] : ( add(X_13,inverse(X_13)) = multiplicative_identity ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_312,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_273]) ).
tff(c_929,plain,
! [X_40,Z_41] : ( add(X_40,multiply(inverse(X_40),Z_41)) = add(X_40,Z_41) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_312]) ).
tff(c_995,plain,
! [X_40] : ( add(X_40,inverse(inverse(X_40))) = add(X_40,additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_929]) ).
tff(c_1019,plain,
! [X_42] : ( add(X_42,inverse(inverse(X_42))) = X_42 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_995]) ).
tff(c_63,plain,
! [Y_19,X_20] : ( add(Y_19,X_20) = add(X_20,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_79,plain,
! [X_20] : ( add(additive_identity,X_20) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_63,c_10]) ).
tff(c_339,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_402,plain,
! [Z_30] : ( multiply(a,add(b,Z_30)) = add(additive_identity,multiply(a,Z_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_339]) ).
tff(c_412,plain,
! [Z_30] : ( multiply(a,add(b,Z_30)) = multiply(a,Z_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_402]) ).
tff(c_1030,plain,
multiply(a,inverse(inverse(b))) = multiply(a,b),
inference(superposition,[status(thm),theory(equality)],[c_1019,c_412]) ).
tff(c_1060,plain,
multiply(a,inverse(inverse(b))) = additive_identity,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_1030]) ).
tff(c_315,plain,
! [X_13,Y_26] : ( add(X_13,multiply(Y_26,inverse(X_13))) = multiply(add(X_13,Y_26),multiplicative_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_273]) ).
tff(c_333,plain,
! [X_13,Y_26] : ( add(X_13,multiply(Y_26,inverse(X_13))) = add(X_13,Y_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_315]) ).
tff(c_1071,plain,
add(inverse(b),additive_identity) = add(inverse(b),a),
inference(superposition,[status(thm),theory(equality)],[c_1060,c_333]) ).
tff(c_1080,plain,
inverse(b) = a,
inference(demodulation,[status(thm),theory(equality)],[c_611,c_2,c_10,c_1071]) ).
tff(c_390,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_339]) ).
tff(c_1322,plain,
! [X_45,Z_46] : ( multiply(X_45,add(inverse(X_45),Z_46)) = multiply(X_45,Z_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_390]) ).
tff(c_1403,plain,
! [X_45] : ( multiply(X_45,inverse(inverse(X_45))) = multiply(X_45,multiplicative_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1322]) ).
tff(c_1571,plain,
! [X_49] : ( multiply(X_49,inverse(inverse(X_49))) = X_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1403]) ).
tff(c_1613,plain,
multiply(b,inverse(a)) = b,
inference(superposition,[status(thm),theory(equality)],[c_1080,c_1571]) ).
tff(c_332,plain,
! [X_13,Z_27] : ( add(X_13,multiply(inverse(X_13),Z_27)) = add(X_13,Z_27) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_312]) ).
tff(c_1096,plain,
! [Z_27] : ( add(b,multiply(a,Z_27)) = add(b,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_1080,c_332]) ).
tff(c_1582,plain,
add(b,inverse(inverse(a))) = add(b,a),
inference(superposition,[status(thm),theory(equality)],[c_1571,c_1096]) ).
tff(c_1626,plain,
add(b,inverse(inverse(a))) = multiplicative_identity,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_2,c_1582]) ).
tff(c_393,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_339]) ).
tff(c_1672,plain,
! [X_50,Y_51] : ( multiply(X_50,add(Y_51,inverse(X_50))) = multiply(X_50,Y_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_393]) ).
tff(c_1719,plain,
multiply(inverse(a),multiplicative_identity) = multiply(inverse(a),b),
inference(superposition,[status(thm),theory(equality)],[c_1626,c_1672]) ).
tff(c_1790,plain,
inverse(a) = b,
inference(demodulation,[status(thm),theory(equality)],[c_1613,c_4,c_12,c_1719]) ).
tff(c_1792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_1790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:47:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.51/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.51/2.13
% 3.51/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.38/2.17
% 4.38/2.17 Inference rules
% 4.38/2.17 ----------------------
% 4.38/2.17 #Ref : 0
% 4.38/2.17 #Sup : 431
% 4.38/2.17 #Fact : 0
% 4.38/2.17 #Define : 0
% 4.38/2.17 #Split : 0
% 4.38/2.17 #Chain : 0
% 4.38/2.17 #Close : 0
% 4.38/2.17
% 4.38/2.17 Ordering : KBO
% 4.38/2.17
% 4.38/2.17 Simplification rules
% 4.38/2.17 ----------------------
% 4.38/2.17 #Subsume : 0
% 4.38/2.17 #Demod : 364
% 4.38/2.17 #Tautology : 290
% 4.38/2.17 #SimpNegUnit : 1
% 4.38/2.17 #BackRed : 3
% 4.38/2.17
% 4.38/2.17 #Partial instantiations: 0
% 4.38/2.17 #Strategies tried : 1
% 4.38/2.17
% 4.38/2.17 Timing (in seconds)
% 4.38/2.17 ----------------------
% 4.38/2.17 Preprocessing : 0.43
% 4.38/2.17 Parsing : 0.22
% 4.38/2.17 CNF conversion : 0.02
% 4.38/2.17 Main loop : 0.61
% 4.38/2.17 Inferencing : 0.22
% 4.38/2.17 Reduction : 0.25
% 4.38/2.17 Demodulation : 0.20
% 4.38/2.17 BG Simplification : 0.03
% 4.38/2.17 Subsumption : 0.09
% 4.38/2.17 Abstraction : 0.03
% 4.38/2.17 MUC search : 0.00
% 4.38/2.17 Cooper : 0.00
% 4.38/2.17 Total : 1.09
% 4.38/2.17 Index Insertion : 0.00
% 4.38/2.17 Index Deletion : 0.00
% 4.38/2.17 Index Matching : 0.00
% 4.38/2.17 BG Taut test : 0.00
%------------------------------------------------------------------------------