TSTP Solution File: BOO029-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n008.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 10:34:28 EDT 2023
% Result : Unsatisfiable 53.58s 40.20s
% Output : CNFRefutation 53.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 34 unt; 5 typ; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > inverse > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_40,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( add(X,multiply(Y,multiply(X,Z))) = X ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X,Y,Z] : ( add(add(multiply(X,Y),multiply(Y,Z)),Y) = Y ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X,Y] : ( add(multiply(X,Y),multiply(X,inverse(Y))) = X ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X,Y,Z] : ( add(add(X,Y),Z) = add(X,add(Y,Z)) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y,Z] : ( multiply(X,add(Y,add(X,Z))) = X ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X,Y,Z] : ( multiply(multiply(add(X,Y),add(Y,Z)),Y) = Y ),
file(unknown,unknown) ).
tff(f_49,axiom,
add(b,inverse(b)) != add(a,inverse(a)),
file(unknown,unknown) ).
tff(c_14,plain,
! [Y_18,X_17] : ( add(Y_18,X_17) = add(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( add(X_1,multiply(Y_2,multiply(X_1,Z_3))) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_1518,plain,
! [X_75,Y_76,Z_77] : ( add(add(multiply(X_75,Y_76),multiply(Y_76,Z_77)),Y_76) = Y_76 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_1662,plain,
! [X_75,Y_2] : ( add(multiply(X_75,Y_2),Y_2) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1518]) ).
tff(c_12,plain,
! [X_15,Y_16] : ( add(multiply(X_15,Y_16),multiply(X_15,inverse(Y_16))) = X_15 ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_566,plain,
! [X_54,Y_55,Z_56] : ( add(add(X_54,Y_55),Z_56) = add(X_54,add(Y_55,Z_56)) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_33455,plain,
! [X_275,Y_276,Z_277] : ( add(multiply(X_275,Y_276),add(multiply(X_275,inverse(Y_276)),Z_277)) = add(X_275,Z_277) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_566]) ).
tff(c_79780,plain,
! [X_413,Y_414] : ( add(multiply(X_413,Y_414),inverse(Y_414)) = add(X_413,inverse(Y_414)) ),
inference(superposition,[status(thm),theory(equality)],[c_1662,c_33455]) ).
tff(c_112,plain,
! [X_34,Y_35,Z_36] : ( multiply(X_34,add(Y_35,add(X_34,Z_36))) = X_34 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_118,plain,
! [X_34,Y_2] : ( add(X_34,multiply(Y_2,X_34)) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_2]) ).
tff(c_10401,plain,
! [X_160,X_158,Y_159] : ( add(X_160,add(X_158,Y_159)) = add(X_158,add(Y_159,X_160)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_566]) ).
tff(c_11088,plain,
! [X_34,Y_2,X_160] : ( add(X_34,add(multiply(Y_2,X_34),X_160)) = add(X_160,X_34) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_10401]) ).
tff(c_79840,plain,
! [Y_414,X_413] : ( add(Y_414,add(X_413,inverse(Y_414))) = add(inverse(Y_414),Y_414) ),
inference(superposition,[status(thm),theory(equality)],[c_79780,c_11088]) ).
tff(c_161757,plain,
! [Y_583,X_584] : ( add(Y_583,add(X_584,inverse(Y_583))) = add(Y_583,inverse(Y_583)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_79840]) ).
tff(c_18,plain,
! [X_21,Y_22,Z_23] : ( add(add(X_21,Y_22),Z_23) = add(X_21,add(Y_22,Z_23)) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_8,plain,
! [X_9,Y_10,Z_11] : ( multiply(X_9,add(Y_10,add(X_9,Z_11))) = X_9 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_1138,plain,
! [X_68,Y_69,Z_70] : ( multiply(multiply(add(X_68,Y_69),add(Y_69,Z_70)),Y_69) = Y_69 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1303,plain,
! [X_71,Y_72] : ( multiply(add(X_71,Y_72),Y_72) = Y_72 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1138]) ).
tff(c_2279,plain,
! [X_87,Y_88,Z_89] : ( multiply(add(X_87,add(Y_88,Z_89)),Z_89) = Z_89 ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_1303]) ).
tff(c_2421,plain,
! [X_87,Y_18,X_17] : ( multiply(add(X_87,add(Y_18,X_17)),Y_18) = Y_18 ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_2279]) ).
tff(c_162280,plain,
! [Y_583,X_584] : ( multiply(add(Y_583,inverse(Y_583)),X_584) = X_584 ),
inference(superposition,[status(thm),theory(equality)],[c_161757,c_2421]) ).
tff(c_165994,plain,
! [X_590,Y_591] : ( multiply(X_590,add(Y_591,inverse(Y_591))) = X_590 ),
inference(superposition,[status(thm),theory(equality)],[c_161757,c_8]) ).
tff(c_170069,plain,
! [Y_599,Y_598] : ( add(Y_599,inverse(Y_599)) = add(Y_598,inverse(Y_598)) ),
inference(superposition,[status(thm),theory(equality)],[c_162280,c_165994]) ).
tff(c_22,plain,
add(b,inverse(b)) != add(a,inverse(a)),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_171113,plain,
! [Y_599] : ( add(a,inverse(a)) != add(Y_599,inverse(Y_599)) ),
inference(superposition,[status(thm),theory(equality)],[c_170069,c_22]) ).
tff(c_172331,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_171113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 18:38:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 53.58/40.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.58/40.21
% 53.58/40.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.58/40.24
% 53.58/40.24 Inference rules
% 53.58/40.24 ----------------------
% 53.58/40.24 #Ref : 1
% 53.58/40.24 #Sup : 43598
% 53.58/40.24 #Fact : 0
% 53.58/40.24 #Define : 0
% 53.58/40.24 #Split : 0
% 53.58/40.24 #Chain : 0
% 53.58/40.24 #Close : 0
% 53.58/40.24
% 53.58/40.24 Ordering : KBO
% 53.58/40.24
% 53.58/40.24 Simplification rules
% 53.58/40.24 ----------------------
% 53.58/40.24 #Subsume : 1744
% 53.58/40.24 #Demod : 74719
% 53.58/40.24 #Tautology : 17447
% 53.58/40.24 #SimpNegUnit : 0
% 53.58/40.24 #BackRed : 3
% 53.58/40.24
% 53.58/40.24 #Partial instantiations: 0
% 53.58/40.24 #Strategies tried : 1
% 53.58/40.24
% 53.58/40.24 Timing (in seconds)
% 53.58/40.24 ----------------------
% 53.58/40.24 Preprocessing : 0.45
% 53.58/40.24 Parsing : 0.23
% 53.58/40.24 CNF conversion : 0.02
% 53.58/40.24 Main loop : 38.72
% 53.58/40.24 Inferencing : 3.49
% 53.58/40.24 Reduction : 29.59
% 53.58/40.24 Demodulation : 28.58
% 53.58/40.24 BG Simplification : 0.49
% 53.58/40.24 Subsumption : 4.13
% 53.58/40.24 Abstraction : 1.15
% 53.58/40.24 MUC search : 0.00
% 53.58/40.24 Cooper : 0.00
% 53.58/40.24 Total : 39.21
% 53.58/40.24 Index Insertion : 0.00
% 53.58/40.24 Index Deletion : 0.00
% 53.58/40.24 Index Matching : 0.00
% 53.58/40.24 BG Taut test : 0.00
%------------------------------------------------------------------------------