TSTP Solution File: GRP492-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n005.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 10:41:22 EDT 2023
% Result : Unsatisfiable 8.19s 3.13s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 63 unt; 7 typ; 0 def)
% Number of atoms : 63 ( 62 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 : 8 ( 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 : 101 (; 101 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
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_25]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
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_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,A_1),double_divide(identity,double_divide(double_divide(double_divide(A_1,B_2),identity),double_divide(C_3,B_2)))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(identity,A_21),double_divide(identity,double_divide(multiply(B_22,A_21),double_divide(C_23,B_22)))) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_289,plain,
! [A_21,A_7] : ( double_divide(double_divide(identity,A_21),double_divide(identity,double_divide(multiply(inverse(A_7),A_21),identity))) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_444,plain,
! [A_29,A_30] : ( double_divide(double_divide(identity,A_29),double_divide(identity,inverse(multiply(inverse(A_30),A_29)))) = A_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_289]) ).
tff(c_477,plain,
! [A_7] : ( double_divide(double_divide(identity,A_7),double_divide(identity,inverse(inverse(identity)))) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_444]) ).
tff(c_496,plain,
! [A_31] : ( double_divide(double_divide(identity,A_31),double_divide(identity,multiply(identity,identity))) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_477]) ).
tff(c_524,plain,
double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6,c_496]) ).
tff(c_528,plain,
double_divide(identity,double_divide(identity,multiply(identity,identity))) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).
tff(c_489,plain,
! [A_7] : ( double_divide(double_divide(identity,A_7),double_divide(identity,multiply(identity,identity))) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_477]) ).
tff(c_559,plain,
double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = double_divide(identity,multiply(identity,identity)),
inference(superposition,[status(thm),theory(equality)],[c_528,c_489]) ).
tff(c_586,plain,
double_divide(identity,multiply(identity,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_524,c_559]) ).
tff(c_90,plain,
! [A_15] : ( inverse(inverse(A_15)) = multiply(identity,A_15) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_99,plain,
! [A_15] : ( multiply(multiply(identity,A_15),inverse(A_15)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_57]) ).
tff(c_286,plain,
! [B_22,C_23] : ( double_divide(identity,double_divide(identity,double_divide(multiply(B_22,inverse(identity)),double_divide(C_23,B_22)))) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_695,plain,
double_divide(identity,double_divide(identity,double_divide(multiply(multiply(identity,identity),inverse(identity)),identity))) = identity,
inference(superposition,[status(thm),theory(equality)],[c_586,c_286]) ).
tff(c_722,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_586,c_83,c_99,c_6,c_695]) ).
tff(c_813,plain,
! [A_34] : ( multiply(inverse(A_34),A_34) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_722,c_57]) ).
tff(c_296,plain,
! [A_21,A_7] : ( double_divide(double_divide(identity,A_21),double_divide(identity,inverse(multiply(inverse(A_7),A_21)))) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_289]) ).
tff(c_818,plain,
! [A_34] : ( double_divide(double_divide(identity,A_34),double_divide(identity,inverse(identity))) = A_34 ),
inference(superposition,[status(thm),theory(equality)],[c_813,c_296]) ).
tff(c_837,plain,
! [A_34] : ( multiply(A_34,identity) = A_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_8,c_818]) ).
tff(c_878,plain,
! [A_36,A_37] : ( double_divide(double_divide(identity,A_36),double_divide(identity,double_divide(multiply(identity,A_36),inverse(A_37)))) = A_37 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_933,plain,
! [A_36] : ( double_divide(double_divide(identity,A_36),double_divide(identity,identity)) = multiply(identity,A_36) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_878]) ).
tff(c_942,plain,
! [A_36] : ( multiply(identity,A_36) = A_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_837,c_37,c_6,c_722,c_6,c_933]) ).
tff(c_948,plain,
! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_942,c_83]) ).
tff(c_1217,plain,
! [A_45] : ( double_divide(double_divide(identity,A_45),identity) = A_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_586,c_489]) ).
tff(c_1277,plain,
! [A_46] : ( inverse(double_divide(identity,A_46)) = A_46 ),
inference(superposition,[status(thm),theory(equality)],[c_1217,c_6]) ).
tff(c_1292,plain,
! [A_46] : ( double_divide(identity,A_46) = inverse(A_46) ),
inference(superposition,[status(thm),theory(equality)],[c_1277,c_948]) ).
tff(c_275,plain,
! [A_21,A_4,B_5] : ( double_divide(double_divide(identity,A_21),double_divide(identity,double_divide(multiply(identity,A_21),multiply(A_4,B_5)))) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_1561,plain,
! [A_21,A_4,B_5] : ( double_divide(inverse(A_21),multiply(multiply(A_4,B_5),A_21)) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_1292,c_1292,c_942,c_275]) ).
tff(c_279,plain,
! [B_22,C_23] : ( double_divide(inverse(identity),double_divide(identity,double_divide(multiply(B_22,identity),double_divide(C_23,B_22)))) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_1150,plain,
! [B_22,C_23] : ( double_divide(identity,double_divide(identity,double_divide(B_22,double_divide(C_23,B_22)))) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_837,c_722,c_279]) ).
tff(c_1411,plain,
! [B_22,C_23] : ( inverse(inverse(double_divide(B_22,double_divide(C_23,B_22)))) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_1292,c_1292,c_1150]) ).
tff(c_1692,plain,
! [C_57,B_58] : ( inverse(multiply(double_divide(C_57,B_58),B_58)) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_1411]) ).
tff(c_2269,plain,
! [C_70,B_71] : ( multiply(double_divide(C_70,B_71),B_71) = inverse(C_70) ),
inference(superposition,[status(thm),theory(equality)],[c_1692,c_948]) ).
tff(c_2315,plain,
! [B_5,A_4,A_21] : ( multiply(double_divide(B_5,A_4),multiply(multiply(A_4,B_5),A_21)) = inverse(inverse(A_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_1561,c_2269]) ).
tff(c_2355,plain,
! [B_5,A_4,A_21] : ( multiply(double_divide(B_5,A_4),multiply(multiply(A_4,B_5),A_21)) = A_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_948,c_2315]) ).
tff(c_80,plain,
! [B_5,A_4] : ( multiply(identity,double_divide(B_5,A_4)) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_944,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_942,c_80]) ).
tff(c_1698,plain,
! [B_58,C_57] : ( double_divide(B_58,double_divide(C_57,B_58)) = C_57 ),
inference(superposition,[status(thm),theory(equality)],[c_1692,c_944]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,A_1),double_divide(identity,double_divide(multiply(B_2,A_1),double_divide(C_3,B_2)))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_591,plain,
! [B_32,C_33] : ( double_divide(identity,double_divide(identity,double_divide(multiply(B_32,inverse(identity)),double_divide(C_33,B_32)))) = C_33 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_649,plain,
! [B_2,A_1,C_3] : ( double_divide(identity,double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(B_2,A_1),double_divide(C_3,B_2))),inverse(identity)),C_3))) = double_divide(identity,A_1) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_591]) ).
tff(c_9356,plain,
! [C_163,B_164,A_165] : ( double_divide(multiply(double_divide(C_163,B_164),multiply(B_164,A_165)),C_163) = inverse(A_165) ),
inference(demodulation,[status(thm),theory(equality)],[c_944,c_1292,c_1292,c_37,c_1292,c_37,c_1292,c_837,c_722,c_649]) ).
tff(c_9463,plain,
! [C_163,B_164,A_165] : ( multiply(C_163,multiply(double_divide(C_163,B_164),multiply(B_164,A_165))) = inverse(inverse(A_165)) ),
inference(superposition,[status(thm),theory(equality)],[c_9356,c_37]) ).
tff(c_9715,plain,
! [C_166,B_167,A_168] : ( multiply(C_166,multiply(double_divide(C_166,B_167),multiply(B_167,A_168))) = A_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_948,c_9463]) ).
tff(c_10359,plain,
! [B_172,C_173,A_174] : ( multiply(B_172,multiply(C_173,multiply(double_divide(C_173,B_172),A_174))) = A_174 ),
inference(superposition,[status(thm),theory(equality)],[c_1698,c_9715]) ).
tff(c_10569,plain,
! [A_4,B_5,A_21] : ( multiply(multiply(A_4,B_5),A_21) = multiply(A_4,multiply(B_5,A_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_2355,c_10359]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_14021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10569,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n005.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 22:14:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.19/3.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.19/3.14
% 8.19/3.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.19/3.17
% 8.19/3.17 Inference rules
% 8.19/3.17 ----------------------
% 8.19/3.17 #Ref : 0
% 8.19/3.17 #Sup : 3542
% 8.19/3.17 #Fact : 0
% 8.19/3.17 #Define : 0
% 8.19/3.17 #Split : 0
% 8.19/3.17 #Chain : 0
% 8.19/3.17 #Close : 0
% 8.19/3.17
% 8.19/3.17 Ordering : KBO
% 8.19/3.17
% 8.19/3.17 Simplification rules
% 8.19/3.17 ----------------------
% 8.19/3.17 #Subsume : 0
% 8.19/3.17 #Demod : 5451
% 8.19/3.17 #Tautology : 2114
% 8.19/3.17 #SimpNegUnit : 0
% 8.19/3.17 #BackRed : 33
% 8.19/3.17
% 8.19/3.17 #Partial instantiations: 0
% 8.19/3.17 #Strategies tried : 1
% 8.19/3.17
% 8.19/3.17 Timing (in seconds)
% 8.19/3.17 ----------------------
% 8.40/3.18 Preprocessing : 0.42
% 8.40/3.18 Parsing : 0.22
% 8.40/3.18 CNF conversion : 0.02
% 8.40/3.18 Main loop : 1.60
% 8.40/3.18 Inferencing : 0.50
% 8.40/3.18 Reduction : 0.73
% 8.40/3.18 Demodulation : 0.60
% 8.40/3.18 BG Simplification : 0.06
% 8.40/3.18 Subsumption : 0.21
% 8.40/3.18 Abstraction : 0.09
% 8.40/3.18 MUC search : 0.00
% 8.40/3.18 Cooper : 0.00
% 8.40/3.18 Total : 2.08
% 8.40/3.18 Index Insertion : 0.00
% 8.40/3.18 Index Deletion : 0.00
% 8.40/3.18 Index Matching : 0.00
% 8.40/3.18 BG Taut test : 0.00
%------------------------------------------------------------------------------