TSTP Solution File: BOO004-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO004-4 : 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 10:34:22 EDT 2023
% Result : Unsatisfiable 3.17s 1.90s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 17 unt; 6 typ; 0 def)
% Number of atoms : 17 ( 16 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > inverse > multiplicative_identity > 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(add,type,
add: ( $i * $i ) > $i ).
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_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_48,axiom,
! [X,Y,Z] : ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
add(a,a) != a,
file(unknown,unknown) ).
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_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_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_305,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_263]) ).
tff(c_550,plain,
! [X_35,Y_36] : ( add(X_35,multiply(Y_36,inverse(X_35))) = add(X_35,Y_36) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_305]) ).
tff(c_615,plain,
! [X_14] : ( add(X_14,additive_identity) = add(X_14,X_14) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_550]) ).
tff(c_633,plain,
! [X_14] : ( add(X_14,X_14) = X_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_615]) ).
tff(c_18,plain,
add(a,a) != a,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_633,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO004-4 : 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
% 0.13/0.34 % Computer : n029.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 18:47:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.17/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/1.90
% 3.17/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.40/1.92
% 3.40/1.92 Inference rules
% 3.40/1.92 ----------------------
% 3.40/1.92 #Ref : 0
% 3.40/1.92 #Sup : 152
% 3.40/1.92 #Fact : 0
% 3.40/1.92 #Define : 0
% 3.40/1.92 #Split : 0
% 3.40/1.92 #Chain : 0
% 3.40/1.92 #Close : 0
% 3.40/1.92
% 3.40/1.92 Ordering : KBO
% 3.40/1.92
% 3.40/1.92 Simplification rules
% 3.40/1.92 ----------------------
% 3.40/1.92 #Subsume : 0
% 3.40/1.92 #Demod : 87
% 3.40/1.93 #Tautology : 105
% 3.40/1.93 #SimpNegUnit : 0
% 3.40/1.93 #BackRed : 1
% 3.40/1.93
% 3.40/1.93 #Partial instantiations: 0
% 3.40/1.93 #Strategies tried : 1
% 3.40/1.93
% 3.40/1.93 Timing (in seconds)
% 3.40/1.93 ----------------------
% 3.40/1.93 Preprocessing : 0.45
% 3.40/1.93 Parsing : 0.24
% 3.40/1.93 CNF conversion : 0.02
% 3.40/1.93 Main loop : 0.39
% 3.40/1.93 Inferencing : 0.14
% 3.40/1.93 Reduction : 0.15
% 3.40/1.93 Demodulation : 0.12
% 3.40/1.93 BG Simplification : 0.02
% 3.40/1.93 Subsumption : 0.06
% 3.40/1.93 Abstraction : 0.02
% 3.40/1.93 MUC search : 0.00
% 3.40/1.93 Cooper : 0.00
% 3.40/1.93 Total : 0.88
% 3.40/1.93 Index Insertion : 0.00
% 3.40/1.93 Index Deletion : 0.00
% 3.40/1.93 Index Matching : 0.00
% 3.40/1.93 BG Taut test : 0.00
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