TSTP Solution File: GRP595-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP595-1 : 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 : n013.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 10:41:36 EDT 2023
% Result : Unsatisfiable 160.69s 129.44s
% Output : CNFRefutation 160.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 64 unt; 6 typ; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 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 : 170 (; 170 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > 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(f_25,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_5,A_4] : ( inverse(double_divide(B_5,A_4)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( inverse(double_divide(double_divide(A_1,B_2),inverse(double_divide(A_1,inverse(double_divide(C_3,B_2)))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [B_8,C_9,A_10] : ( multiply(multiply(multiply(B_8,C_9),A_10),double_divide(A_10,B_8)) = C_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_7,plain,
! [B_2,C_3,A_1] : ( multiply(multiply(multiply(B_2,C_3),A_1),double_divide(A_1,B_2)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_20,plain,
! [C_9,A_1,B_8,A_10] : ( multiply(multiply(C_9,A_1),double_divide(A_1,multiply(multiply(B_8,C_9),A_10))) = double_divide(A_10,B_8) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_64,plain,
! [C_14,A_15,B_16,A_17] : ( multiply(multiply(C_14,A_15),double_divide(A_15,multiply(multiply(B_16,C_14),A_17))) = double_divide(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_32,plain,
! [C_3,A_1,B_2] : ( multiply(C_3,double_divide(double_divide(A_1,B_2),multiply(B_2,C_3))) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_127,plain,
! [C_18,A_19,B_20] : ( double_divide(multiply(C_18,double_divide(A_19,multiply(B_20,C_18))),B_20) = A_19 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_32]) ).
tff(c_175,plain,
! [C_21,A_22,B_23] : ( double_divide(double_divide(multiply(C_21,A_22),B_23),multiply(B_23,C_21)) = A_22 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_296,plain,
! [B_27,C_28,A_29] : ( multiply(multiply(B_27,C_28),double_divide(multiply(C_28,A_29),B_27)) = inverse(A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_380,plain,
! [A_30,C_31,B_32] : ( multiply(inverse(A_30),double_divide(double_divide(multiply(C_31,A_30),B_32),B_32)) = C_31 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_83,plain,
! [C_14,A_1,B_16] : ( double_divide(multiply(C_14,double_divide(A_1,multiply(B_16,C_14))),B_16) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_32]) ).
tff(c_461,plain,
! [C_33,A_34,B_35] : ( double_divide(multiply(C_33,A_34),multiply(B_35,inverse(A_34))) = double_divide(C_33,B_35) ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_83]) ).
tff(c_161,plain,
! [C_9,A_1,B_8] : ( double_divide(double_divide(multiply(C_9,A_1),B_8),multiply(B_8,C_9)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_527,plain,
! [C_36,B_37,A_38] : ( double_divide(double_divide(C_36,B_37),multiply(multiply(B_37,inverse(A_38)),C_36)) = A_38 ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_161]) ).
tff(c_182178,plain,
! [C_613,B_614,A_615,B_616] : ( double_divide(double_divide(C_613,B_614),multiply(multiply(B_614,multiply(A_615,B_616)),C_613)) = double_divide(B_616,A_615) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_527]) ).
tff(c_118,plain,
! [B_16,B_2,C_3,A_1,A_17] : ( multiply(C_3,double_divide(double_divide(A_1,B_2),multiply(multiply(B_16,multiply(multiply(B_2,C_3),A_1)),A_17))) = double_divide(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_64]) ).
tff(c_182604,plain,
! [C_3,B_616,B_614] : ( multiply(C_3,double_divide(B_616,multiply(B_614,C_3))) = double_divide(B_616,B_614) ),
inference(superposition,[status(thm),theory(equality)],[c_182178,c_118]) ).
tff(c_151,plain,
! [C_14,A_1,B_20,C_18] : ( multiply(C_14,double_divide(A_1,multiply(multiply(B_20,C_18),C_14))) = double_divide(multiply(C_18,A_1),B_20) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_127]) ).
tff(c_274375,plain,
! [C_762,A_763,B_764] : ( double_divide(multiply(C_762,A_763),B_764) = double_divide(A_763,multiply(B_764,C_762)) ),
inference(demodulation,[status(thm),theory(equality)],[c_182604,c_151]) ).
tff(c_275769,plain,
! [A_765,B_766,C_767] : ( inverse(double_divide(A_765,multiply(B_766,C_767))) = multiply(B_766,multiply(C_767,A_765)) ),
inference(superposition,[status(thm),theory(equality)],[c_274375,c_4]) ).
tff(c_276683,plain,
! [B_766,C_767,B_5] : ( multiply(multiply(B_766,C_767),B_5) = multiply(B_766,multiply(C_767,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_275769]) ).
tff(c_335,plain,
! [A_29,C_28,B_27] : ( multiply(inverse(A_29),double_divide(double_divide(multiply(C_28,A_29),B_27),B_27)) = C_28 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_596,plain,
! [A_39,C_40,B_41] : ( double_divide(multiply(inverse(A_39),double_divide(C_40,B_41)),B_41) = multiply(C_40,A_39) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_83]) ).
tff(c_669,plain,
! [C_42,A_43,B_44] : ( multiply(double_divide(multiply(C_42,A_43),B_44),A_43) = double_divide(C_42,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_335,c_596]) ).
tff(c_755,plain,
! [A_45,B_46,C_47] : ( multiply(A_45,double_divide(A_45,multiply(B_46,C_47))) = double_divide(C_47,B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_669]) ).
tff(c_825,plain,
! [A_1,B_46] : ( double_divide(double_divide(A_1,B_46),B_46) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_32]) ).
tff(c_1267,plain,
! [A_60,C_61] : ( multiply(inverse(A_60),multiply(C_61,A_60)) = C_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1354,plain,
! [A_1,B_2,C_3] : ( multiply(inverse(double_divide(A_1,B_2)),C_3) = multiply(multiply(B_2,C_3),A_1) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_1267]) ).
tff(c_1370,plain,
! [B_2,C_3,A_1] : ( multiply(multiply(B_2,C_3),A_1) = multiply(multiply(B_2,A_1),C_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1354]) ).
tff(c_289483,plain,
! [B_794,C_795,A_796] : ( multiply(B_794,multiply(C_795,A_796)) = multiply(B_794,multiply(A_796,C_795)) ),
inference(demodulation,[status(thm),theory(equality)],[c_276683,c_276683,c_1370]) ).
tff(c_4802,plain,
! [A_108,A_109,C_110,B_111] : ( multiply(multiply(A_108,A_109),double_divide(A_109,C_110)) = double_divide(double_divide(A_108,B_111),multiply(B_111,C_110)) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_64]) ).
tff(c_38,plain,
! [C_11,A_12,B_13] : ( multiply(C_11,double_divide(double_divide(A_12,B_13),multiply(B_13,C_11))) = A_12 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_41,plain,
! [A_12,B_13,C_11,A_1] : ( multiply(double_divide(double_divide(A_12,B_13),multiply(B_13,C_11)),double_divide(double_divide(A_1,C_11),A_12)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_32]) ).
tff(c_4909,plain,
! [C_110,B_111,A_108,A_109,B_13] : ( multiply(double_divide(double_divide(multiply(B_111,C_110),B_13),multiply(B_13,B_111)),multiply(multiply(A_108,A_109),double_divide(A_109,C_110))) = A_108 ),
inference(superposition,[status(thm),theory(equality)],[c_4802,c_41]) ).
tff(c_31618,plain,
! [C_255,A_256,A_257] : ( multiply(C_255,multiply(multiply(A_256,A_257),double_divide(A_257,C_255))) = A_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_4909]) ).
tff(c_263161,plain,
! [B_747,A_748,A_749] : ( multiply(multiply(B_747,multiply(A_748,double_divide(A_749,B_747))),A_749) = A_748 ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_31618]) ).
tff(c_264647,plain,
! [B_46,A_748,A_1] : ( multiply(multiply(B_46,multiply(A_748,A_1)),double_divide(A_1,B_46)) = A_748 ),
inference(superposition,[status(thm),theory(equality)],[c_825,c_263161]) ).
tff(c_315962,plain,
! [B_846,C_847,A_848] : ( multiply(multiply(B_846,multiply(C_847,A_848)),double_divide(C_847,B_846)) = A_848 ),
inference(superposition,[status(thm),theory(equality)],[c_289483,c_264647]) ).
tff(c_988,plain,
! [A_51,B_52] : ( double_divide(double_divide(A_51,B_52),B_52) = A_51 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_32]) ).
tff(c_1371,plain,
! [B_62,A_63] : ( multiply(B_62,double_divide(A_63,B_62)) = inverse(A_63) ),
inference(superposition,[status(thm),theory(equality)],[c_988,c_4]) ).
tff(c_987,plain,
! [A_29,C_28] : ( multiply(inverse(A_29),multiply(C_28,A_29)) = C_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1377,plain,
! [A_63,B_62] : ( multiply(inverse(double_divide(A_63,B_62)),inverse(A_63)) = B_62 ),
inference(superposition,[status(thm),theory(equality)],[c_1371,c_987]) ).
tff(c_1469,plain,
! [B_62,A_63] : ( multiply(multiply(B_62,A_63),inverse(A_63)) = B_62 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1377]) ).
tff(c_316322,plain,
! [A_848,C_847,B_846] : ( multiply(A_848,inverse(double_divide(C_847,B_846))) = multiply(B_846,multiply(C_847,A_848)) ),
inference(superposition,[status(thm),theory(equality)],[c_315962,c_1469]) ).
tff(c_317194,plain,
! [B_846,C_847,A_848] : ( multiply(B_846,multiply(C_847,A_848)) = multiply(A_848,multiply(B_846,C_847)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_316322]) ).
tff(c_197,plain,
! [B_23,C_21,A_22] : ( multiply(multiply(B_23,C_21),double_divide(multiply(C_21,A_22),B_23)) = inverse(A_22) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_1057,plain,
! [B_53,C_54] : ( inverse(multiply(B_53,C_54)) = double_divide(C_54,B_53) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_1081,plain,
! [C_21,A_22,B_23] : ( double_divide(double_divide(multiply(C_21,A_22),B_23),multiply(B_23,C_21)) = inverse(inverse(A_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_1057]) ).
tff(c_1098,plain,
! [A_22] : ( inverse(inverse(A_22)) = A_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_1081]) ).
tff(c_788,plain,
! [B_46,C_47] : ( inverse(multiply(B_46,C_47)) = double_divide(C_47,B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_1321,plain,
! [C_28,A_29] : ( multiply(inverse(multiply(C_28,A_29)),C_28) = inverse(A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_987,c_1267]) ).
tff(c_1601,plain,
! [A_66,C_67] : ( multiply(double_divide(A_66,C_67),C_67) = inverse(A_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_1321]) ).
tff(c_1613,plain,
! [C_67,A_66] : ( double_divide(C_67,double_divide(A_66,C_67)) = inverse(inverse(A_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_788]) ).
tff(c_1691,plain,
! [C_67,A_66] : ( double_divide(C_67,double_divide(A_66,C_67)) = A_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1613]) ).
tff(c_1696,plain,
! [C_68,A_69] : ( double_divide(C_68,double_divide(A_69,C_68)) = A_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1613]) ).
tff(c_2213,plain,
! [A_76,C_77] : ( double_divide(double_divide(A_76,C_77),A_76) = C_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1691,c_1696]) ).
tff(c_2291,plain,
! [C_77,C_3] : ( multiply(C_77,C_3) = multiply(C_3,C_77) ),
inference(superposition,[status(thm),theory(equality)],[c_2213,c_32]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2663,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_2291,c_6]) ).
tff(c_387067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_317194,c_317194,c_2663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.16 % Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.17 % 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
% 0.17/0.38 % Computer : n013.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu Aug 3 21:56:02 EDT 2023
% 0.17/0.39 % CPUTime :
% 160.69/129.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.69/129.45
% 160.69/129.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 160.69/129.49
% 160.69/129.49 Inference rules
% 160.69/129.49 ----------------------
% 160.69/129.49 #Ref : 0
% 160.69/129.49 #Sup : 101201
% 160.69/129.49 #Fact : 0
% 160.69/129.49 #Define : 0
% 160.69/129.49 #Split : 0
% 160.69/129.49 #Chain : 0
% 160.69/129.49 #Close : 0
% 160.69/129.49
% 160.69/129.49 Ordering : KBO
% 160.69/129.49
% 160.69/129.49 Simplification rules
% 160.69/129.49 ----------------------
% 160.69/129.49 #Subsume : 13046
% 160.69/129.49 #Demod : 211799
% 160.69/129.49 #Tautology : 18292
% 160.69/129.49 #SimpNegUnit : 0
% 160.69/129.49 #BackRed : 111
% 160.69/129.49
% 160.69/129.49 #Partial instantiations: 0
% 160.69/129.49 #Strategies tried : 1
% 160.69/129.49
% 160.69/129.49 Timing (in seconds)
% 160.69/129.49 ----------------------
% 160.69/129.49 Preprocessing : 0.43
% 160.69/129.49 Parsing : 0.22
% 160.69/129.49 CNF conversion : 0.02
% 160.69/129.49 Main loop : 127.94
% 160.69/129.49 Inferencing : 9.95
% 160.69/129.49 Reduction : 99.74
% 160.69/129.49 Demodulation : 96.76
% 160.69/129.49 BG Simplification : 1.82
% 160.69/129.49 Subsumption : 11.46
% 160.69/129.49 Abstraction : 3.53
% 160.69/129.49 MUC search : 0.00
% 160.69/129.49 Cooper : 0.00
% 160.69/129.49 Total : 128.44
% 160.69/129.49 Index Insertion : 0.00
% 160.69/129.49 Index Deletion : 0.00
% 160.69/129.49 Index Matching : 0.00
% 160.69/129.49 BG Taut test : 0.00
%------------------------------------------------------------------------------