TSTP Solution File: GRP580-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n012.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 10:41:34 EDT 2023
% Result : Unsatisfiable 4.43s 2.19s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 52 unt; 6 typ; 0 def)
% Number of atoms : 52 ( 51 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 : 6 ( 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 : 75 (; 75 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(f_30,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_49,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(double_divide(B_2,A_1),C_3),double_divide(B_2,identity))),double_divide(identity,identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_65,plain,
! [A_13,B_14,C_15] : ( double_divide(double_divide(A_13,double_divide(double_divide(double_divide(B_14,A_13),C_15),inverse(B_14))),inverse(identity)) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_100,plain,
! [A_4,B_5] : ( double_divide(double_divide(A_4,double_divide(multiply(A_4,B_5),inverse(B_5))),inverse(identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_118,plain,
! [B_16,A_17] : ( inverse(double_divide(B_16,A_17)) = multiply(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_142,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_118]) ).
tff(c_521,plain,
! [A_31,C_32] : ( double_divide(double_divide(identity,double_divide(double_divide(inverse(A_31),C_32),inverse(A_31))),inverse(identity)) = C_32 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_582,plain,
! [A_31] : ( double_divide(double_divide(identity,double_divide(identity,inverse(A_31))),inverse(identity)) = inverse(inverse(A_31)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_521]) ).
tff(c_600,plain,
! [A_33] : ( double_divide(double_divide(identity,double_divide(identity,inverse(A_33))),inverse(identity)) = multiply(identity,A_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_582]) ).
tff(c_637,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = multiply(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_8,c_600]) ).
tff(c_644,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_637]) ).
tff(c_103,plain,
! [A_6,C_15] : ( double_divide(double_divide(identity,double_divide(double_divide(inverse(A_6),C_15),inverse(A_6))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_648,plain,
double_divide(double_divide(identity,double_divide(multiply(identity,identity),inverse(identity))),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_644,c_103]) ).
tff(c_669,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_648]) ).
tff(c_114,plain,
! [A_13,B_14] : ( double_divide(double_divide(A_13,double_divide(identity,inverse(B_14))),inverse(identity)) = inverse(double_divide(B_14,A_13)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_716,plain,
! [B_34,A_35] : ( multiply(double_divide(identity,inverse(B_34)),A_35) = multiply(A_35,B_34) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_669,c_49,c_114]) ).
tff(c_738,plain,
! [A_35] : ( multiply(identity,A_35) = multiply(A_35,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_716]) ).
tff(c_110,plain,
! [A_7,C_15] : ( double_divide(double_divide(inverse(A_7),double_divide(double_divide(identity,C_15),inverse(A_7))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_879,plain,
! [C_39,A_40] : ( multiply(double_divide(double_divide(identity,C_39),inverse(A_40)),inverse(A_40)) = C_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_669,c_110]) ).
tff(c_894,plain,
! [C_39] : ( multiply(double_divide(double_divide(identity,C_39),identity),inverse(identity)) = C_39 ),
inference(superposition,[status(thm),theory(equality)],[c_669,c_879]) ).
tff(c_924,plain,
! [C_39] : ( multiply(identity,multiply(C_39,identity)) = C_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_738,c_669,c_49,c_6,c_894]) ).
tff(c_177,plain,
! [A_19] : ( double_divide(inverse(A_19),identity) = multiply(identity,A_19) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_183,plain,
! [A_19] : ( multiply(identity,inverse(A_19)) = inverse(multiply(identity,A_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_177,c_49]) ).
tff(c_933,plain,
! [C_41] : ( multiply(identity,multiply(C_41,identity)) = C_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_738,c_669,c_49,c_6,c_894]) ).
tff(c_149,plain,
! [A_18] : ( inverse(inverse(A_18)) = multiply(identity,A_18) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_118]) ).
tff(c_164,plain,
! [A_18] : ( double_divide(inverse(A_18),multiply(identity,A_18)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_8]) ).
tff(c_945,plain,
! [C_41] : ( double_divide(inverse(multiply(C_41,identity)),C_41) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_933,c_164]) ).
tff(c_878,plain,
! [C_15,A_7] : ( multiply(double_divide(double_divide(identity,C_15),inverse(A_7)),inverse(A_7)) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_669,c_110]) ).
tff(c_31,plain,
! [B_10,A_11] : ( multiply(identity,double_divide(B_10,A_11)) = double_divide(multiply(A_11,B_10),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_4]) ).
tff(c_53,plain,
! [B_10,A_11] : ( multiply(identity,double_divide(B_10,A_11)) = inverse(multiply(A_11,B_10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).
tff(c_97,plain,
! [A_4,B_5,C_15] : ( double_divide(double_divide(identity,double_divide(double_divide(multiply(A_4,B_5),C_15),inverse(double_divide(B_5,A_4)))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_971,plain,
! [A_42,B_43,C_44] : ( inverse(multiply(multiply(A_42,B_43),double_divide(multiply(A_42,B_43),C_44))) = C_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_738,c_49,c_6,c_669,c_49,c_97]) ).
tff(c_1019,plain,
! [C_15,A_7,C_44] : ( inverse(multiply(multiply(double_divide(double_divide(identity,C_15),inverse(A_7)),inverse(A_7)),double_divide(C_15,C_44))) = C_44 ),
inference(superposition,[status(thm),theory(equality)],[c_878,c_971]) ).
tff(c_1485,plain,
! [C_52,C_53] : ( inverse(multiply(C_52,double_divide(C_52,C_53))) = C_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_878,c_1019]) ).
tff(c_1530,plain,
! [C_41] : ( inverse(multiply(inverse(multiply(C_41,identity)),identity)) = C_41 ),
inference(superposition,[status(thm),theory(equality)],[c_945,c_1485]) ).
tff(c_1566,plain,
! [C_41] : ( multiply(identity,C_41) = C_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_924,c_142,c_183,c_738,c_1530]) ).
tff(c_1698,plain,
! [A_56] : ( multiply(A_56,identity) = A_56 ),
inference(demodulation,[status(thm),theory(equality)],[c_1566,c_738]) ).
tff(c_715,plain,
! [B_14,A_13] : ( multiply(double_divide(identity,inverse(B_14)),A_13) = multiply(A_13,B_14) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_669,c_49,c_114]) ).
tff(c_1717,plain,
! [B_14] : ( double_divide(identity,inverse(B_14)) = multiply(identity,B_14) ),
inference(superposition,[status(thm),theory(equality)],[c_1698,c_715]) ).
tff(c_1740,plain,
! [B_14] : ( double_divide(identity,inverse(B_14)) = B_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_1566,c_1717]) ).
tff(c_2150,plain,
! [B_14,A_13] : ( multiply(B_14,A_13) = multiply(A_13,B_14) ),
inference(demodulation,[status(thm),theory(equality)],[c_1740,c_715]) ).
tff(c_10,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_2414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2150,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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
% 0.14/0.36 % Computer : n012.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 22:03:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.43/2.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.43/2.20
% 4.43/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.43/2.23
% 4.43/2.23 Inference rules
% 4.43/2.23 ----------------------
% 4.43/2.23 #Ref : 0
% 4.43/2.23 #Sup : 605
% 4.43/2.23 #Fact : 0
% 4.43/2.23 #Define : 0
% 4.43/2.23 #Split : 0
% 4.43/2.23 #Chain : 0
% 4.43/2.23 #Close : 0
% 4.43/2.23
% 4.43/2.23 Ordering : KBO
% 4.43/2.23
% 4.43/2.23 Simplification rules
% 4.43/2.23 ----------------------
% 4.43/2.23 #Subsume : 2
% 4.43/2.23 #Demod : 686
% 4.43/2.23 #Tautology : 320
% 4.43/2.23 #SimpNegUnit : 0
% 4.43/2.23 #BackRed : 25
% 4.43/2.23
% 4.43/2.23 #Partial instantiations: 0
% 4.43/2.23 #Strategies tried : 1
% 4.43/2.23
% 4.43/2.23 Timing (in seconds)
% 4.43/2.23 ----------------------
% 4.43/2.23 Preprocessing : 0.43
% 4.43/2.23 Parsing : 0.22
% 4.43/2.23 CNF conversion : 0.02
% 4.43/2.23 Main loop : 0.64
% 4.43/2.23 Inferencing : 0.23
% 4.43/2.23 Reduction : 0.23
% 4.43/2.23 Demodulation : 0.18
% 4.43/2.23 BG Simplification : 0.03
% 4.43/2.23 Subsumption : 0.10
% 4.43/2.23 Abstraction : 0.03
% 4.43/2.23 MUC search : 0.00
% 4.43/2.23 Cooper : 0.00
% 4.43/2.23 Total : 1.12
% 4.43/2.23 Index Insertion : 0.00
% 4.43/2.23 Index Deletion : 0.00
% 4.43/2.23 Index Matching : 0.00
% 4.43/2.23 BG Taut test : 0.00
%------------------------------------------------------------------------------