TSTP Solution File: GRP485-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP485-1 : 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 : 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 10:41:21 EDT 2023
% Result : Unsatisfiable 3.75s 2.06s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 54 unt; 5 typ; 0 def)
% Number of atoms : 54 ( 53 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 : 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(identity,type,
identity: $i ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(identity,a2) != a2,
file(unknown,unknown) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
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_120,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_144,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_120]) ).
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_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(double_divide(A_1,B_2),C_3),double_divide(B_2,identity))),double_divide(identity,identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_65,plain,
! [A_13,B_14,C_15] : ( double_divide(double_divide(A_13,double_divide(double_divide(double_divide(A_13,B_14),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,
! [B_5,A_4] : ( double_divide(double_divide(B_5,double_divide(multiply(A_4,B_5),inverse(A_4))),inverse(identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
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(A_13,B_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_519,plain,
! [A_31,B_32] : ( double_divide(double_divide(A_31,double_divide(identity,inverse(B_32))),inverse(identity)) = multiply(B_32,A_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_114]) ).
tff(c_560,plain,
! [A_31] : ( double_divide(double_divide(A_31,identity),inverse(identity)) = multiply(identity,A_31) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_519]) ).
tff(c_567,plain,
! [A_31] : ( double_divide(inverse(A_31),inverse(identity)) = multiply(identity,A_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_560]) ).
tff(c_699,plain,
! [A_37,C_38] : ( double_divide(double_divide(A_37,double_divide(double_divide(inverse(A_37),C_38),inverse(identity))),inverse(identity)) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_741,plain,
! [A_31] : ( double_divide(double_divide(A_31,double_divide(multiply(identity,A_31),inverse(identity))),inverse(identity)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_567,c_699]) ).
tff(c_782,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_741]) ).
tff(c_103,plain,
! [A_6,C_15] : ( double_divide(double_divide(A_6,double_divide(double_divide(inverse(A_6),C_15),inverse(identity))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_788,plain,
! [A_6,C_15] : ( double_divide(double_divide(A_6,double_divide(double_divide(inverse(A_6),C_15),identity)),identity) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_782,c_103]) ).
tff(c_886,plain,
! [C_40,A_41] : ( multiply(multiply(C_40,inverse(A_41)),A_41) = C_40 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_49,c_6,c_6,c_788]) ).
tff(c_798,plain,
! [C_15,A_6] : ( multiply(multiply(C_15,inverse(A_6)),A_6) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_49,c_6,c_6,c_788]) ).
tff(c_890,plain,
! [C_40,A_6] : ( multiply(C_40,inverse(inverse(A_6))) = multiply(C_40,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_886,c_798]) ).
tff(c_920,plain,
! [C_40,A_6] : ( multiply(C_40,multiply(identity,A_6)) = multiply(C_40,A_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_144,c_890]) ).
tff(c_132,plain,
! [B_16,A_17] : ( double_divide(double_divide(B_16,A_17),multiply(A_17,B_16)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_120,c_8]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(double_divide(A_1,B_2),C_3),inverse(B_2))),inverse(identity)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_91,plain,
! [A_13,B_2,C_3] : ( double_divide(double_divide(double_divide(double_divide(A_13,identity),B_2),C_3),inverse(B_2)) = double_divide(double_divide(A_13,C_3),inverse(identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_65]) ).
tff(c_118,plain,
! [A_13,B_2,C_3] : ( double_divide(double_divide(double_divide(inverse(A_13),B_2),C_3),inverse(B_2)) = double_divide(double_divide(A_13,C_3),inverse(identity)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_91]) ).
tff(c_1419,plain,
! [A_55,B_56,C_57] : ( double_divide(double_divide(double_divide(inverse(A_55),B_56),C_57),inverse(B_56)) = multiply(C_57,A_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_782,c_118]) ).
tff(c_1453,plain,
! [A_17,A_55] : ( multiply(multiply(A_17,inverse(A_55)),A_55) = double_divide(identity,inverse(A_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_132,c_1419]) ).
tff(c_1496,plain,
! [A_17] : ( double_divide(identity,inverse(A_17)) = A_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_798,c_1453]) ).
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_797,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_57]) ).
tff(c_97,plain,
! [B_5,A_4,C_15] : ( double_divide(double_divide(double_divide(B_5,A_4),double_divide(double_divide(multiply(A_4,B_5),C_15),inverse(identity))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_1084,plain,
! [C_47,A_48,B_49] : ( multiply(multiply(C_47,multiply(A_48,B_49)),double_divide(B_49,A_48)) = C_47 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_782,c_49,c_6,c_782,c_97]) ).
tff(c_1160,plain,
! [C_47,A_6] : ( multiply(multiply(C_47,multiply(identity,A_6)),inverse(A_6)) = C_47 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1084]) ).
tff(c_1613,plain,
! [C_60,A_61] : ( multiply(multiply(C_60,A_61),inverse(A_61)) = C_60 ),
inference(demodulation,[status(thm),theory(equality)],[c_920,c_1160]) ).
tff(c_1704,plain,
! [A_62] : ( multiply(identity,inverse(A_62)) = inverse(A_62) ),
inference(superposition,[status(thm),theory(equality)],[c_797,c_1613]) ).
tff(c_110,plain,
! [A_7,C_15] : ( double_divide(double_divide(A_7,double_divide(double_divide(identity,C_15),inverse(inverse(A_7)))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_999,plain,
! [C_44,A_45] : ( multiply(double_divide(double_divide(identity,C_44),multiply(identity,A_45)),A_45) = C_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_782,c_144,c_110]) ).
tff(c_1040,plain,
! [A_45] : ( multiply(double_divide(identity,multiply(identity,A_45)),A_45) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_999]) ).
tff(c_1048,plain,
! [A_45] : ( multiply(double_divide(identity,multiply(identity,A_45)),A_45) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_1040]) ).
tff(c_1716,plain,
! [A_62] : ( multiply(double_divide(identity,inverse(A_62)),inverse(A_62)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1704,c_1048]) ).
tff(c_1764,plain,
! [A_63] : ( multiply(A_63,inverse(A_63)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1496,c_1716]) ).
tff(c_1611,plain,
! [C_47,A_6] : ( multiply(multiply(C_47,A_6),inverse(A_6)) = C_47 ),
inference(demodulation,[status(thm),theory(equality)],[c_920,c_1160]) ).
tff(c_1773,plain,
! [A_63] : ( multiply(identity,inverse(inverse(A_63))) = A_63 ),
inference(superposition,[status(thm),theory(equality)],[c_1764,c_1611]) ).
tff(c_1823,plain,
! [A_63] : ( multiply(identity,A_63) = A_63 ),
inference(demodulation,[status(thm),theory(equality)],[c_920,c_144,c_1773]) ).
tff(c_10,plain,
multiply(identity,a2) != a2,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1845,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1823,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP485-1 : TPTP v8.1.2. Released v2.6.0.
% 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
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 22:28:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.75/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.75/2.07
% 3.75/2.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.75/2.10
% 3.75/2.10 Inference rules
% 3.75/2.10 ----------------------
% 3.75/2.10 #Ref : 0
% 3.75/2.10 #Sup : 464
% 3.75/2.10 #Fact : 0
% 3.75/2.10 #Define : 0
% 3.75/2.10 #Split : 0
% 3.75/2.10 #Chain : 0
% 3.75/2.10 #Close : 0
% 3.75/2.10
% 3.75/2.10 Ordering : KBO
% 3.75/2.10
% 3.75/2.10 Simplification rules
% 3.75/2.10 ----------------------
% 3.75/2.10 #Subsume : 0
% 3.75/2.10 #Demod : 497
% 3.75/2.10 #Tautology : 277
% 3.75/2.10 #SimpNegUnit : 0
% 3.75/2.10 #BackRed : 19
% 3.75/2.10
% 3.75/2.10 #Partial instantiations: 0
% 3.75/2.10 #Strategies tried : 1
% 3.75/2.10
% 3.75/2.10 Timing (in seconds)
% 3.75/2.10 ----------------------
% 3.75/2.10 Preprocessing : 0.43
% 3.75/2.10 Parsing : 0.22
% 3.75/2.10 CNF conversion : 0.02
% 3.75/2.10 Main loop : 0.62
% 3.75/2.11 Inferencing : 0.23
% 3.75/2.11 Reduction : 0.22
% 3.75/2.11 Demodulation : 0.17
% 3.75/2.11 BG Simplification : 0.03
% 3.75/2.11 Subsumption : 0.10
% 3.75/2.11 Abstraction : 0.03
% 3.75/2.11 MUC search : 0.00
% 3.75/2.11 Cooper : 0.00
% 3.75/2.11 Total : 1.11
% 3.75/2.11 Index Insertion : 0.00
% 3.75/2.11 Index Deletion : 0.00
% 3.75/2.11 Index Matching : 0.00
% 3.75/2.11 BG Taut test : 0.00
%------------------------------------------------------------------------------