TSTP Solution File: BOO023-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n019.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 : 600s
% DateTime : Thu Jul 14 23:44:15 EDT 2022
% Result : Unsatisfiable 12.02s 3.36s
% Output : CNFRefutation 12.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 21:03:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 26890: Facts:
% 0.12/0.34 26890: Id : 2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
% 0.12/0.34 26890: Id : 3, {_}:
% 0.12/0.34 multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5)
% 0.12/0.34 [7, 6, 5] by multiply_add_property ?5 ?6 ?7
% 0.12/0.34 26890: Id : 4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
% 0.12/0.34 26890: Id : 5, {_}:
% 0.12/0.34 pixley ?11 ?12 ?13
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?11 (inverse ?12))
% 0.12/0.34 (add (multiply ?11 ?13) (multiply (inverse ?12) ?13))
% 0.12/0.34 [13, 12, 11] by pixley_defn ?11 ?12 ?13
% 0.12/0.34 26890: Id : 6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
% 0.12/0.34 26890: Id : 7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
% 0.12/0.34 26890: Id : 8, {_}: pixley ?21 ?22 ?21 =>= ?21 [22, 21] by pixley3 ?21 ?22
% 0.12/0.34 26890: Goal:
% 0.12/0.34 26890: Id : 1, {_}:
% 0.12/0.34 add a (multiply b c) =<= multiply (add a b) (add a c)
% 0.12/0.34 [] by prove_add_multiply_property
% 12.02/3.36 Statistics :
% 12.02/3.36 Max weight : 22
% 12.02/3.36 Found proof, 3.019364s
% 12.02/3.36 % SZS status Unsatisfiable for theBenchmark.p
% 12.02/3.36 % SZS output start CNFRefutation for theBenchmark.p
% 12.02/3.36 Id : 8, {_}: pixley ?21 ?22 ?21 =>= ?21 [22, 21] by pixley3 ?21 ?22
% 12.02/3.36 Id : 6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
% 12.02/3.36 Id : 4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
% 12.02/3.36 Id : 7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
% 12.02/3.36 Id : 5, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (add (multiply ?11 ?13) (multiply (inverse ?12) ?13)) [13, 12, 11] by pixley_defn ?11 ?12 ?13
% 12.02/3.36 Id : 2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
% 12.02/3.36 Id : 12, {_}: multiply ?33 (add ?34 ?35) =<= add (multiply ?34 ?33) (multiply ?35 ?33) [35, 34, 33] by multiply_add_property ?33 ?34 ?35
% 12.02/3.36 Id : 3, {_}: multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5) [7, 6, 5] by multiply_add_property ?5 ?6 ?7
% 12.02/3.36 Id : 13, {_}: multiply ?37 (add ?38 (add ?39 ?37)) =>= add (multiply ?38 ?37) ?37 [39, 38, 37] by Super 12 with 2 at 2,3
% 12.02/3.36 Id : 83, {_}: multiply (add ?226 (add ?227 ?228)) (add ?228 ?229) =<= add (add (multiply ?226 ?228) ?228) (multiply ?229 (add ?226 (add ?227 ?228))) [229, 228, 227, 226] by Super 3 with 13 at 1,3
% 12.02/3.36 Id : 19, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (multiply ?13 (add ?11 (inverse ?12))) [13, 12, 11] by Demod 5 with 3 at 2,3
% 12.02/3.36 Id : 21, {_}: pixley ?58 ?59 ?60 =<= add (multiply ?58 (inverse ?59)) (multiply ?60 (add ?58 (inverse ?59))) [60, 59, 58] by Demod 5 with 3 at 2,3
% 12.02/3.36 Id : 22, {_}: pixley ?62 ?62 ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [63, 62] by Super 21 with 4 at 2,2,3
% 12.02/3.36 Id : 125, {_}: ?331 =<= add (multiply ?332 (inverse ?332)) (multiply ?331 n1) [332, 331] by Demod 22 with 6 at 2
% 12.02/3.36 Id : 16, {_}: multiply n1 (inverse ?49) =>= inverse ?49 [49] by Super 2 with 4 at 1,2
% 12.02/3.36 Id : 129, {_}: ?343 =<= add (inverse n1) (multiply ?343 n1) [343] by Super 125 with 16 at 1,3
% 12.02/3.36 Id : 120, {_}: ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [62, 63] by Demod 22 with 6 at 2
% 12.02/3.36 Id : 14, {_}: multiply ?41 (add (add ?42 ?41) ?43) =>= add ?41 (multiply ?43 ?41) [43, 42, 41] by Super 12 with 2 at 1,3
% 12.02/3.36 Id : 150, {_}: ?377 =<= add (inverse n1) (multiply ?377 n1) [377] by Super 125 with 16 at 1,3
% 12.02/3.36 Id : 234, {_}: add ?516 n1 =?= add (inverse n1) n1 [516] by Super 150 with 2 at 2,3
% 12.02/3.36 Id : 153, {_}: add ?383 n1 =?= add (inverse n1) n1 [383] by Super 150 with 2 at 2,3
% 12.02/3.36 Id : 240, {_}: add ?528 n1 =?= add ?529 n1 [529, 528] by Super 234 with 153 at 3
% 12.02/3.36 Id : 124, {_}: multiply (multiply ?328 n1) (add ?329 ?328) =<= add (multiply ?329 (multiply ?328 n1)) (multiply ?328 n1) [329, 328] by Super 13 with 120 at 2,2,2
% 12.02/3.36 Id : 45, {_}: multiply (multiply ?119 (add ?120 ?121)) (multiply ?121 ?119) =>= multiply ?121 ?119 [121, 120, 119] by Super 2 with 3 at 1,2
% 12.02/3.36 Id : 48, {_}: multiply (multiply ?132 n1) (multiply (inverse ?133) ?132) =>= multiply (inverse ?133) ?132 [133, 132] by Super 45 with 4 at 2,1,2
% 12.02/3.36 Id : 56, {_}: multiply (inverse ?155) (add ?156 n1) =<= add (multiply ?156 (inverse ?155)) (inverse ?155) [156, 155] by Super 3 with 16 at 2,3
% 12.02/3.36 Id : 165, {_}: multiply (pixley ?406 ?407 ?408) (multiply ?408 (add ?406 (inverse ?407))) =>= multiply ?408 (add ?406 (inverse ?407)) [408, 407, 406] by Super 2 with 19 at 1,2
% 12.02/3.36 Id : 1502, {_}: multiply ?2265 (multiply ?2266 (add ?2265 (inverse ?2266))) =>= multiply ?2266 (add ?2265 (inverse ?2266)) [2266, 2265] by Super 165 with 7 at 1,2
% 12.02/3.36 Id : 390, {_}: multiply (multiply ?735 n1) (multiply (inverse ?736) ?735) =>= multiply (inverse ?736) ?735 [736, 735] by Super 45 with 4 at 2,1,2
% 12.02/3.36 Id : 398, {_}: multiply n1 (multiply (inverse ?758) (add ?759 n1)) =>= multiply (inverse ?758) (add ?759 n1) [759, 758] by Super 390 with 2 at 1,2
% 12.02/3.36 Id : 69, {_}: multiply (inverse ?183) (add ?184 n1) =<= add (multiply ?184 (inverse ?183)) (inverse ?183) [184, 183] by Super 3 with 16 at 2,3
% 12.02/3.36 Id : 70, {_}: multiply (inverse ?186) (add (add ?187 (inverse ?186)) n1) =>= add (inverse ?186) (inverse ?186) [187, 186] by Super 69 with 2 at 1,3
% 12.02/3.36 Id : 516, {_}: add (inverse ?186) (multiply n1 (inverse ?186)) =>= add (inverse ?186) (inverse ?186) [186] by Demod 70 with 14 at 2
% 12.02/3.36 Id : 57, {_}: multiply (inverse ?158) (add n1 ?159) =<= add (inverse ?158) (multiply ?159 (inverse ?158)) [159, 158] by Super 3 with 16 at 1,3
% 12.02/3.36 Id : 517, {_}: multiply (inverse ?186) (add n1 n1) =?= add (inverse ?186) (inverse ?186) [186] by Demod 516 with 57 at 2
% 12.02/3.36 Id : 519, {_}: multiply n1 (add (inverse ?930) (inverse ?930)) =>= multiply (inverse ?930) (add n1 n1) [930] by Super 398 with 517 at 2,2
% 12.02/3.36 Id : 1508, {_}: multiply (inverse n1) (multiply (inverse n1) (add n1 n1)) =>= multiply n1 (add (inverse n1) (inverse n1)) [] by Super 1502 with 519 at 2,2
% 12.02/3.36 Id : 1526, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= multiply n1 (add (inverse n1) (inverse n1)) [] by Demod 1508 with 517 at 2,2
% 12.02/3.36 Id : 1527, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= multiply (inverse n1) (add n1 n1) [] by Demod 1526 with 519 at 3
% 12.02/3.36 Id : 1528, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= add (inverse n1) (inverse n1) [] by Demod 1527 with 517 at 3
% 12.02/3.36 Id : 1541, {_}: pixley (inverse n1) n1 (inverse n1) =<= add (multiply (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Super 19 with 1528 at 2,3
% 12.02/3.36 Id : 1552, {_}: inverse n1 =<= add (multiply (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Demod 1541 with 8 at 2
% 12.02/3.36 Id : 2316, {_}: multiply (inverse n1) (inverse n1) =<= add (multiply (multiply (inverse n1) (inverse n1)) (inverse n1)) (inverse n1) [] by Super 13 with 1552 at 2,2
% 12.02/3.36 Id : 2668, {_}: multiply (inverse n1) (inverse n1) =<= multiply (inverse n1) (add (multiply (inverse n1) (inverse n1)) n1) [] by Demod 2316 with 56 at 3
% 12.02/3.36 Id : 2749, {_}: multiply (inverse n1) (inverse n1) =<= multiply (inverse n1) (add ?3452 n1) [3452] by Super 2668 with 240 at 2,3
% 12.02/3.36 Id : 2759, {_}: multiply (inverse n1) (inverse n1) =>= add (inverse n1) (inverse n1) [] by Super 2749 with 517 at 3
% 12.02/3.36 Id : 2817, {_}: multiply (inverse n1) (add (inverse n1) n1) =<= add (add (inverse n1) (inverse n1)) (inverse n1) [] by Super 56 with 2759 at 1,3
% 12.02/3.36 Id : 2683, {_}: multiply (inverse n1) (inverse n1) =<= multiply (inverse n1) (add ?3407 n1) [3407] by Super 2668 with 240 at 2,3
% 12.02/3.36 Id : 2804, {_}: add (inverse n1) (inverse n1) =<= multiply (inverse n1) (add ?3407 n1) [3407] by Demod 2683 with 2759 at 2
% 12.02/3.36 Id : 2839, {_}: add (inverse n1) (inverse n1) =<= add (add (inverse n1) (inverse n1)) (inverse n1) [] by Demod 2817 with 2804 at 2
% 12.02/3.36 Id : 2905, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= add (inverse n1) (multiply (inverse n1) (inverse n1)) [] by Super 14 with 2839 at 2,2
% 12.02/3.36 Id : 2954, {_}: add (inverse n1) (inverse n1) =<= add (inverse n1) (multiply (inverse n1) (inverse n1)) [] by Demod 2905 with 1528 at 2
% 12.02/3.36 Id : 2955, {_}: add (inverse n1) (inverse n1) =<= multiply (inverse n1) (add n1 (inverse n1)) [] by Demod 2954 with 57 at 3
% 12.02/3.36 Id : 2956, {_}: add (inverse n1) (inverse n1) =>= multiply (inverse n1) n1 [] by Demod 2955 with 4 at 2,3
% 12.02/3.36 Id : 2807, {_}: inverse n1 =<= add (add (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Demod 1552 with 2759 at 1,3
% 12.02/3.36 Id : 2995, {_}: inverse n1 =<= add (multiply (inverse n1) n1) (add (inverse n1) (inverse n1)) [] by Demod 2807 with 2956 at 1,3
% 12.02/3.36 Id : 2996, {_}: inverse n1 =<= add (multiply (inverse n1) n1) (multiply (inverse n1) n1) [] by Demod 2995 with 2956 at 2,3
% 12.02/3.36 Id : 2999, {_}: inverse n1 =<= multiply n1 (add (inverse n1) (inverse n1)) [] by Demod 2996 with 3 at 3
% 12.02/3.36 Id : 3000, {_}: inverse n1 =<= multiply (inverse n1) (add n1 n1) [] by Demod 2999 with 519 at 3
% 12.02/3.36 Id : 3001, {_}: inverse n1 =<= add (inverse n1) (inverse n1) [] by Demod 3000 with 517 at 3
% 12.02/3.36 Id : 3002, {_}: inverse n1 =<= multiply (inverse n1) n1 [] by Demod 3001 with 2956 at 3
% 12.02/3.36 Id : 3005, {_}: add (inverse n1) (inverse n1) =>= inverse n1 [] by Demod 2956 with 3002 at 3
% 12.02/3.36 Id : 3028, {_}: multiply (inverse n1) (add ?3576 (inverse n1)) =>= add (multiply ?3576 (inverse n1)) (inverse n1) [3576] by Super 13 with 3005 at 2,2,2
% 12.02/3.36 Id : 3073, {_}: multiply (inverse n1) (add ?3576 (inverse n1)) =>= multiply (inverse n1) (add ?3576 n1) [3576] by Demod 3028 with 56 at 3
% 12.02/3.36 Id : 2997, {_}: multiply (inverse n1) n1 =<= multiply (inverse n1) (add ?3407 n1) [3407] by Demod 2804 with 2956 at 2
% 12.02/3.36 Id : 3003, {_}: inverse n1 =<= multiply (inverse n1) (add ?3407 n1) [3407] by Demod 2997 with 3002 at 2
% 12.02/3.36 Id : 3074, {_}: multiply (inverse n1) (add ?3576 (inverse n1)) =>= inverse n1 [3576] by Demod 3073 with 3003 at 3
% 12.02/3.36 Id : 3235, {_}: multiply (multiply (add ?3703 (inverse n1)) n1) (inverse n1) =>= multiply (inverse n1) (add ?3703 (inverse n1)) [3703] by Super 48 with 3074 at 2,2
% 12.02/3.36 Id : 4037, {_}: multiply (multiply (add ?4652 (inverse n1)) n1) (inverse n1) =>= inverse n1 [4652] by Demod 3235 with 3074 at 3
% 12.02/3.36 Id : 4048, {_}: multiply (multiply n1 n1) (inverse n1) =>= inverse n1 [] by Super 4037 with 4 at 1,1,2
% 12.02/3.36 Id : 4111, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4703) =>= add (inverse n1) (multiply ?4703 (inverse n1)) [4703] by Super 3 with 4048 at 1,3
% 12.02/3.36 Id : 4141, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4703) =>= multiply (inverse n1) (add n1 ?4703) [4703] by Demod 4111 with 57 at 3
% 12.02/3.36 Id : 24, {_}: pixley (add ?69 (inverse ?70)) ?70 ?71 =<= add (inverse ?70) (multiply ?71 (add (add ?69 (inverse ?70)) (inverse ?70))) [71, 70, 69] by Super 21 with 2 at 1,3
% 12.02/3.36 Id : 3022, {_}: pixley (add (inverse n1) (inverse n1)) n1 ?3566 =<= add (inverse n1) (multiply ?3566 (add (inverse n1) (inverse n1))) [3566] by Super 24 with 3005 at 1,2,2,3
% 12.02/3.36 Id : 3080, {_}: pixley (inverse n1) n1 ?3566 =<= add (inverse n1) (multiply ?3566 (add (inverse n1) (inverse n1))) [3566] by Demod 3022 with 3005 at 1,2
% 12.02/3.36 Id : 3081, {_}: pixley (inverse n1) n1 ?3566 =<= add (inverse n1) (multiply ?3566 (inverse n1)) [3566] by Demod 3080 with 3005 at 2,2,3
% 12.02/3.36 Id : 3082, {_}: pixley (inverse n1) n1 ?3566 =<= multiply (inverse n1) (add n1 ?3566) [3566] by Demod 3081 with 57 at 3
% 12.02/3.36 Id : 4350, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4893) =>= pixley (inverse n1) n1 ?4893 [4893] by Demod 4141 with 3082 at 3
% 12.02/3.36 Id : 4361, {_}: multiply (inverse n1) (multiply n1 (add n1 ?4914)) =>= pixley (inverse n1) n1 (multiply ?4914 n1) [4914] by Super 4350 with 3 at 2,2
% 12.02/3.36 Id : 3025, {_}: pixley (inverse n1) n1 ?3571 =<= add (multiply (inverse n1) (inverse n1)) (multiply ?3571 (inverse n1)) [3571] by Super 19 with 3005 at 2,2,3
% 12.02/3.36 Id : 3357, {_}: pixley (inverse n1) n1 ?3820 =<= multiply (inverse n1) (add (inverse n1) ?3820) [3820] by Demod 3025 with 3 at 3
% 12.02/3.36 Id : 3369, {_}: pixley (inverse n1) n1 (multiply ?3843 n1) =>= multiply (inverse n1) ?3843 [3843] by Super 3357 with 129 at 2,3
% 12.02/3.36 Id : 4545, {_}: multiply (inverse n1) (multiply n1 (add n1 ?5052)) =>= multiply (inverse n1) ?5052 [5052] by Demod 4361 with 3369 at 3
% 12.02/3.36 Id : 4548, {_}: multiply (inverse n1) (multiply n1 n1) =>= multiply (inverse n1) (inverse n1) [] by Super 4545 with 4 at 2,2,2
% 12.02/3.36 Id : 2998, {_}: multiply (inverse n1) (inverse n1) =>= multiply (inverse n1) n1 [] by Demod 2759 with 2956 at 3
% 12.02/3.36 Id : 3004, {_}: multiply (inverse n1) (inverse n1) =>= inverse n1 [] by Demod 2998 with 3002 at 3
% 12.02/3.36 Id : 4577, {_}: multiply (inverse n1) (multiply n1 n1) =>= inverse n1 [] by Demod 4548 with 3004 at 3
% 12.02/3.36 Id : 4600, {_}: multiply (multiply n1 n1) (add (inverse n1) n1) =>= add (inverse n1) (multiply n1 n1) [] by Super 124 with 4577 at 1,3
% 12.02/3.36 Id : 691, {_}: multiply (multiply ?1225 n1) (add ?1225 ?1226) =<= add (multiply ?1225 n1) (multiply ?1226 (multiply ?1225 n1)) [1226, 1225] by Super 14 with 120 at 1,2,2
% 12.02/3.36 Id : 122, {_}: multiply ?323 (multiply ?323 n1) =>= multiply ?323 n1 [323] by Super 2 with 120 at 1,2
% 12.02/3.36 Id : 702, {_}: multiply (multiply ?1255 n1) (add ?1255 ?1255) =>= add (multiply ?1255 n1) (multiply ?1255 n1) [1255] by Super 691 with 122 at 2,3
% 12.02/3.36 Id : 750, {_}: multiply (multiply ?1301 n1) (add ?1301 ?1301) =>= multiply n1 (add ?1301 ?1301) [1301] by Demod 702 with 3 at 3
% 12.02/3.36 Id : 751, {_}: multiply (multiply n1 n1) (add ?1303 n1) =>= multiply n1 (add n1 n1) [1303] by Super 750 with 240 at 2,2
% 12.02/3.36 Id : 4632, {_}: multiply n1 (add n1 n1) =<= add (inverse n1) (multiply n1 n1) [] by Demod 4600 with 751 at 2
% 12.02/3.36 Id : 4633, {_}: multiply n1 (add n1 n1) =>= n1 [] by Demod 4632 with 129 at 3
% 12.02/3.36 Id : 5187, {_}: multiply (add n1 n1) (add n1 ?5735) =>= add n1 (multiply ?5735 (add n1 n1)) [5735] by Super 3 with 4633 at 1,3
% 12.02/3.36 Id : 4819, {_}: multiply n1 (add n1 n1) =>= n1 [] by Demod 4632 with 129 at 3
% 12.02/3.36 Id : 4824, {_}: multiply n1 (add ?5432 n1) =>= n1 [5432] by Super 4819 with 240 at 2,2
% 12.02/3.36 Id : 4943, {_}: n1 =<= add n1 (multiply n1 n1) [] by Super 14 with 4824 at 2
% 12.02/3.36 Id : 5194, {_}: multiply (add n1 n1) n1 =<= add n1 (multiply (multiply n1 n1) (add n1 n1)) [] by Super 5187 with 4943 at 2,2
% 12.02/3.36 Id : 5232, {_}: n1 =<= add n1 (multiply (multiply n1 n1) (add n1 n1)) [] by Demod 5194 with 2 at 2
% 12.02/3.36 Id : 732, {_}: multiply (multiply ?1255 n1) (add ?1255 ?1255) =>= multiply n1 (add ?1255 ?1255) [1255] by Demod 702 with 3 at 3
% 12.02/3.36 Id : 5233, {_}: n1 =<= add n1 (multiply n1 (add n1 n1)) [] by Demod 5232 with 732 at 2,3
% 12.02/3.36 Id : 5234, {_}: n1 =<= add n1 n1 [] by Demod 5233 with 4824 at 2,3
% 12.02/3.36 Id : 5265, {_}: add ?5779 n1 =>= n1 [5779] by Super 240 with 5234 at 3
% 12.02/3.36 Id : 5526, {_}: multiply ?5958 n1 =<= add ?5958 (multiply n1 ?5958) [5958] by Super 14 with 5265 at 2,2
% 12.02/3.36 Id : 5247, {_}: multiply n1 (add (inverse ?930) (inverse ?930)) =>= multiply (inverse ?930) n1 [930] by Demod 519 with 5234 at 2,3
% 12.02/3.36 Id : 5248, {_}: multiply (inverse ?186) n1 =<= add (inverse ?186) (inverse ?186) [186] by Demod 517 with 5234 at 2,2
% 12.02/3.36 Id : 5254, {_}: multiply n1 (multiply (inverse ?930) n1) =>= multiply (inverse ?930) n1 [930] by Demod 5247 with 5248 at 2,2
% 12.02/3.36 Id : 5538, {_}: multiply (multiply (inverse ?5981) n1) n1 =<= add (multiply (inverse ?5981) n1) (multiply (inverse ?5981) n1) [5981] by Super 5526 with 5254 at 2,3
% 12.02/3.36 Id : 5592, {_}: multiply (multiply (inverse ?5981) n1) n1 =<= multiply n1 (add (inverse ?5981) (inverse ?5981)) [5981] by Demod 5538 with 3 at 3
% 12.02/3.36 Id : 5593, {_}: multiply (multiply (inverse ?5981) n1) n1 =>= multiply n1 (multiply (inverse ?5981) n1) [5981] by Demod 5592 with 5248 at 2,3
% 12.02/3.36 Id : 5594, {_}: multiply (multiply (inverse ?5981) n1) n1 =>= multiply (inverse ?5981) n1 [5981] by Demod 5593 with 5254 at 3
% 12.02/3.36 Id : 5619, {_}: multiply (inverse ?6027) n1 =<= add (multiply ?6028 (inverse ?6028)) (multiply (inverse ?6027) n1) [6028, 6027] by Super 120 with 5594 at 2,3
% 12.02/3.36 Id : 5662, {_}: multiply (inverse ?6027) n1 =>= inverse ?6027 [6027] by Demod 5619 with 120 at 3
% 12.02/3.36 Id : 5729, {_}: inverse ?6117 =<= add (inverse n1) (inverse ?6117) [6117] by Super 129 with 5662 at 2,3
% 12.02/3.36 Id : 5811, {_}: inverse (inverse n1) =>= n1 [] by Super 4 with 5729 at 2
% 12.02/3.36 Id : 5896, {_}: pixley ?6266 (inverse n1) ?6267 =<= add (multiply ?6266 (inverse (inverse n1))) (multiply ?6267 (add ?6266 n1)) [6267, 6266] by Super 19 with 5811 at 2,2,2,3
% 12.02/3.36 Id : 5961, {_}: pixley ?6266 (inverse n1) ?6267 =<= add (multiply ?6266 n1) (multiply ?6267 (add ?6266 n1)) [6267, 6266] by Demod 5896 with 5811 at 2,1,3
% 12.02/3.36 Id : 5962, {_}: pixley ?6266 (inverse n1) ?6267 =<= add (multiply ?6266 n1) (multiply ?6267 n1) [6267, 6266] by Demod 5961 with 5265 at 2,2,3
% 12.02/3.36 Id : 5963, {_}: pixley ?6266 (inverse n1) ?6267 =>= multiply n1 (add ?6266 ?6267) [6267, 6266] by Demod 5962 with 3 at 3
% 12.02/3.36 Id : 6740, {_}: multiply n1 (add ?6992 (inverse n1)) =>= ?6992 [6992] by Super 7 with 5963 at 2
% 12.02/3.36 Id : 6818, {_}: pixley ?7079 n1 n1 =<= add (multiply ?7079 (inverse n1)) ?7079 [7079] by Super 19 with 6740 at 2,3
% 12.02/3.36 Id : 6858, {_}: ?7079 =<= add (multiply ?7079 (inverse n1)) ?7079 [7079] by Demod 6818 with 7 at 2
% 12.02/3.36 Id : 171, {_}: multiply ?428 (multiply ?429 (add ?428 (inverse ?429))) =>= multiply ?429 (add ?428 (inverse ?429)) [429, 428] by Super 165 with 7 at 1,2
% 12.02/3.36 Id : 5906, {_}: multiply ?6290 (multiply (inverse n1) (add ?6290 n1)) =?= multiply (inverse n1) (add ?6290 (inverse (inverse n1))) [6290] by Super 171 with 5811 at 2,2,2,2
% 12.02/3.36 Id : 5931, {_}: multiply ?6290 (multiply (inverse n1) n1) =<= multiply (inverse n1) (add ?6290 (inverse (inverse n1))) [6290] by Demod 5906 with 5265 at 2,2,2
% 12.02/3.36 Id : 5932, {_}: multiply ?6290 (multiply (inverse n1) n1) =?= multiply (inverse n1) (add ?6290 n1) [6290] by Demod 5931 with 5811 at 2,2,3
% 12.02/3.36 Id : 5933, {_}: multiply ?6290 (inverse n1) =<= multiply (inverse n1) (add ?6290 n1) [6290] by Demod 5932 with 5662 at 2,2
% 12.02/3.36 Id : 5934, {_}: multiply ?6290 (inverse n1) =?= multiply (inverse n1) n1 [6290] by Demod 5933 with 5265 at 2,3
% 12.02/3.36 Id : 5935, {_}: multiply ?6290 (inverse n1) =>= inverse n1 [6290] by Demod 5934 with 5662 at 3
% 12.02/3.36 Id : 6859, {_}: ?7079 =<= add (inverse n1) ?7079 [7079] by Demod 6858 with 5935 at 1,3
% 12.02/3.36 Id : 7103, {_}: multiply ?7296 (add ?7297 ?7296) =?= add (multiply (inverse n1) ?7296) ?7296 [7297, 7296] by Super 13 with 6859 at 2,2
% 12.02/3.36 Id : 7052, {_}: ?343 =<= multiply ?343 n1 [343] by Demod 129 with 6859 at 3
% 12.02/3.36 Id : 7068, {_}: multiply ?328 (add ?329 ?328) =<= add (multiply ?329 (multiply ?328 n1)) (multiply ?328 n1) [329, 328] by Demod 124 with 7052 at 1,2
% 12.02/3.36 Id : 7069, {_}: multiply ?328 (add ?329 ?328) =<= add (multiply ?329 ?328) (multiply ?328 n1) [329, 328] by Demod 7068 with 7052 at 2,1,3
% 12.02/3.36 Id : 7070, {_}: multiply ?328 (add ?329 ?328) =>= add (multiply ?329 ?328) ?328 [329, 328] by Demod 7069 with 7052 at 2,3
% 12.02/3.36 Id : 7150, {_}: add (multiply ?7297 ?7296) ?7296 =?= add (multiply (inverse n1) ?7296) ?7296 [7296, 7297] by Demod 7103 with 7070 at 2
% 12.02/3.36 Id : 6018, {_}: multiply (inverse n1) (add n1 ?6338) =>= add (inverse n1) (inverse n1) [6338] by Super 57 with 5935 at 2,3
% 12.02/3.36 Id : 6047, {_}: pixley (inverse n1) n1 ?6338 =>= add (inverse n1) (inverse n1) [6338] by Demod 6018 with 3082 at 2
% 12.02/3.36 Id : 5709, {_}: inverse ?186 =<= add (inverse ?186) (inverse ?186) [186] by Demod 5248 with 5662 at 2
% 12.02/3.36 Id : 6048, {_}: pixley (inverse n1) n1 ?6338 =>= inverse n1 [6338] by Demod 6047 with 5709 at 3
% 12.02/3.36 Id : 6562, {_}: inverse n1 =<= multiply (inverse n1) ?3843 [3843] by Demod 3369 with 6048 at 2
% 12.02/3.36 Id : 7151, {_}: add (multiply ?7297 ?7296) ?7296 =>= add (inverse n1) ?7296 [7296, 7297] by Demod 7150 with 6562 at 1,3
% 12.02/3.36 Id : 7152, {_}: add (multiply ?7297 ?7296) ?7296 =>= ?7296 [7296, 7297] by Demod 7151 with 6859 at 3
% 12.02/3.36 Id : 10060, {_}: multiply (add ?10682 (add ?10683 ?10684)) (add ?10684 ?10685) =>= add ?10684 (multiply ?10685 (add ?10682 (add ?10683 ?10684))) [10685, 10684, 10683, 10682] by Demod 83 with 7152 at 1,3
% 12.02/3.36 Id : 10082, {_}: multiply (add ?10782 ?10783) (add ?10783 ?10784) =<= add ?10783 (multiply ?10784 (add ?10782 (add (multiply ?10785 ?10783) ?10783))) [10785, 10784, 10783, 10782] by Super 10060 with 7152 at 2,1,2
% 12.02/3.36 Id : 22376, {_}: multiply (add ?26260 ?26261) (add ?26261 ?26262) =>= add ?26261 (multiply ?26262 (add ?26260 ?26261)) [26262, 26261, 26260] by Demod 10082 with 7152 at 2,2,2,3
% 12.02/3.36 Id : 82, {_}: multiply (add ?221 (add ?222 ?223)) (add ?224 ?223) =<= add (multiply ?224 (add ?221 (add ?222 ?223))) (add (multiply ?221 ?223) ?223) [224, 223, 222, 221] by Super 3 with 13 at 2,3
% 12.02/3.36 Id : 7882, {_}: multiply (add ?8125 (add ?8126 ?8127)) (add ?8128 ?8127) =>= add (multiply ?8128 (add ?8125 (add ?8126 ?8127))) ?8127 [8128, 8127, 8126, 8125] by Demod 82 with 7152 at 2,3
% 12.02/3.36 Id : 7903, {_}: multiply (add ?8221 ?8222) (add ?8223 ?8222) =<= add (multiply ?8223 (add ?8221 (add (multiply ?8224 ?8222) ?8222))) ?8222 [8224, 8223, 8222, 8221] by Super 7882 with 7152 at 2,1,2
% 12.02/3.36 Id : 12773, {_}: multiply (add ?14016 ?14017) (add ?14018 ?14017) =>= add (multiply ?14018 (add ?14016 ?14017)) ?14017 [14018, 14017, 14016] by Demod 7903 with 7152 at 2,2,1,3
% 12.02/3.36 Id : 12774, {_}: multiply (add ?14020 (inverse ?14021)) n1 =<= add (multiply ?14021 (add ?14020 (inverse ?14021))) (inverse ?14021) [14021, 14020] by Super 12773 with 4 at 2,2
% 12.02/3.36 Id : 7478, {_}: add (multiply ?7655 ?7656) ?7656 =>= ?7656 [7656, 7655] by Demod 7151 with 6859 at 3
% 12.02/3.36 Id : 11, {_}: multiply (multiply ?29 (add ?30 ?31)) (multiply ?31 ?29) =>= multiply ?31 ?29 [31, 30, 29] by Super 2 with 3 at 1,2
% 12.02/3.36 Id : 7480, {_}: add (multiply ?7660 ?7661) (multiply ?7660 ?7661) =>= multiply ?7660 ?7661 [7661, 7660] by Super 7478 with 11 at 1,2
% 12.02/3.36 Id : 7523, {_}: multiply ?7661 (add ?7660 ?7660) =>= multiply ?7660 ?7661 [7660, 7661] by Demod 7480 with 3 at 2
% 12.02/3.36 Id : 5456, {_}: multiply ?5881 n1 =<= add ?5881 (multiply n1 ?5881) [5881] by Super 14 with 5265 at 2,2
% 12.02/3.36 Id : 7054, {_}: ?5881 =<= add ?5881 (multiply n1 ?5881) [5881] by Demod 5456 with 7052 at 2
% 12.02/3.36 Id : 5901, {_}: ?6277 =<= add (multiply (inverse n1) n1) (multiply ?6277 n1) [6277] by Super 120 with 5811 at 2,1,3
% 12.02/3.36 Id : 5952, {_}: ?6277 =<= multiply n1 (add (inverse n1) ?6277) [6277] by Demod 5901 with 3 at 3
% 12.02/3.36 Id : 7050, {_}: ?6277 =<= multiply n1 ?6277 [6277] by Demod 5952 with 6859 at 2,3
% 12.02/3.36 Id : 7081, {_}: ?5881 =<= add ?5881 ?5881 [5881] by Demod 7054 with 7050 at 2,3
% 12.02/3.36 Id : 7524, {_}: multiply ?7661 ?7660 =?= multiply ?7660 ?7661 [7660, 7661] by Demod 7523 with 7081 at 2,2
% 12.02/3.36 Id : 12869, {_}: multiply n1 (add ?14020 (inverse ?14021)) =<= add (multiply ?14021 (add ?14020 (inverse ?14021))) (inverse ?14021) [14021, 14020] by Demod 12774 with 7524 at 2
% 12.02/3.36 Id : 7107, {_}: pixley (inverse n1) ?7305 ?7306 =<= add (multiply (inverse n1) (inverse ?7305)) (multiply ?7306 (inverse ?7305)) [7306, 7305] by Super 19 with 6859 at 2,2,3
% 12.02/3.36 Id : 7145, {_}: pixley (inverse n1) ?7305 ?7306 =<= multiply (inverse ?7305) (add (inverse n1) ?7306) [7306, 7305] by Demod 7107 with 3 at 3
% 12.02/3.36 Id : 7146, {_}: pixley (inverse n1) ?7305 ?7306 =>= multiply (inverse ?7305) ?7306 [7306, 7305] by Demod 7145 with 6859 at 2,3
% 12.02/3.36 Id : 7303, {_}: multiply (inverse ?7448) ?7448 =>= inverse n1 [7448] by Super 7 with 7146 at 2
% 12.02/3.36 Id : 7377, {_}: multiply ?7549 (add ?7550 (inverse ?7549)) =>= add (multiply ?7550 ?7549) (inverse n1) [7550, 7549] by Super 3 with 7303 at 2,3
% 12.02/3.36 Id : 7082, {_}: add ?6992 (inverse n1) =>= ?6992 [6992] by Demod 6740 with 7050 at 2
% 12.02/3.36 Id : 7404, {_}: multiply ?7549 (add ?7550 (inverse ?7549)) =>= multiply ?7550 ?7549 [7550, 7549] by Demod 7377 with 7082 at 3
% 12.02/3.36 Id : 12870, {_}: multiply n1 (add ?14020 (inverse ?14021)) =?= add (multiply ?14020 ?14021) (inverse ?14021) [14021, 14020] by Demod 12869 with 7404 at 1,3
% 12.02/3.36 Id : 13002, {_}: add ?14316 (inverse ?14317) =<= add (multiply ?14316 ?14317) (inverse ?14317) [14317, 14316] by Demod 12870 with 7050 at 2
% 12.02/3.36 Id : 13308, {_}: add ?14758 (inverse ?14759) =<= add (multiply ?14759 ?14758) (inverse ?14759) [14759, 14758] by Super 13002 with 7524 at 1,3
% 12.02/3.36 Id : 7112, {_}: multiply (inverse n1) (multiply ?7319 (inverse ?7319)) =?= multiply ?7319 (add (inverse n1) (inverse ?7319)) [7319] by Super 171 with 6859 at 2,2,2
% 12.02/3.36 Id : 7134, {_}: inverse n1 =<= multiply ?7319 (add (inverse n1) (inverse ?7319)) [7319] by Demod 7112 with 6562 at 2
% 12.02/3.36 Id : 7135, {_}: inverse n1 =<= multiply ?7319 (inverse ?7319) [7319] by Demod 7134 with 6859 at 2,3
% 12.02/3.36 Id : 7190, {_}: multiply (inverse ?7367) (add ?7367 ?7368) =?= add (inverse n1) (multiply ?7368 (inverse ?7367)) [7368, 7367] by Super 3 with 7135 at 1,3
% 12.02/3.36 Id : 7231, {_}: multiply (inverse ?7367) (add ?7367 ?7368) =>= multiply ?7368 (inverse ?7367) [7368, 7367] by Demod 7190 with 6859 at 3
% 12.02/3.36 Id : 13318, {_}: add (add ?14787 ?14788) (inverse (inverse ?14787)) =<= add (multiply ?14788 (inverse ?14787)) (inverse (inverse ?14787)) [14788, 14787] by Super 13308 with 7231 at 1,3
% 12.02/3.36 Id : 55, {_}: pixley n1 ?152 ?153 =<= add (inverse ?152) (multiply ?153 (add n1 (inverse ?152))) [153, 152] by Super 19 with 16 at 1,3
% 12.02/3.36 Id : 8467, {_}: pixley n1 ?8785 ?8785 =<= add (inverse ?8785) (multiply n1 ?8785) [8785] by Super 55 with 7404 at 2,3
% 12.02/3.36 Id : 8509, {_}: n1 =<= add (inverse ?8785) (multiply n1 ?8785) [8785] by Demod 8467 with 7 at 2
% 12.02/3.36 Id : 8510, {_}: n1 =<= add (inverse ?8785) ?8785 [8785] by Demod 8509 with 7050 at 2,3
% 12.02/3.36 Id : 8601, {_}: pixley (inverse (inverse ?8912)) ?8912 ?8913 =<= add (multiply (inverse (inverse ?8912)) (inverse ?8912)) (multiply ?8913 n1) [8913, 8912] by Super 19 with 8510 at 2,2,3
% 12.02/3.36 Id : 8630, {_}: pixley (inverse (inverse ?8912)) ?8912 ?8913 =>= add (inverse n1) (multiply ?8913 n1) [8913, 8912] by Demod 8601 with 7303 at 1,3
% 12.02/3.36 Id : 8631, {_}: pixley (inverse (inverse ?8912)) ?8912 ?8913 =>= add (inverse n1) ?8913 [8913, 8912] by Demod 8630 with 7052 at 2,3
% 12.02/3.36 Id : 8632, {_}: pixley (inverse (inverse ?8912)) ?8912 ?8913 =>= ?8913 [8913, 8912] by Demod 8631 with 6859 at 3
% 12.02/3.36 Id : 9897, {_}: ?10428 =<= inverse (inverse ?10428) [10428] by Super 7 with 8632 at 2
% 12.02/3.36 Id : 13414, {_}: add (add ?14787 ?14788) ?14787 =<= add (multiply ?14788 (inverse ?14787)) (inverse (inverse ?14787)) [14788, 14787] by Demod 13318 with 9897 at 2,2
% 12.02/3.36 Id : 12871, {_}: add ?14020 (inverse ?14021) =<= add (multiply ?14020 ?14021) (inverse ?14021) [14021, 14020] by Demod 12870 with 7050 at 2
% 12.02/3.36 Id : 13415, {_}: add (add ?14787 ?14788) ?14787 =>= add ?14788 (inverse (inverse ?14787)) [14788, 14787] by Demod 13414 with 12871 at 3
% 12.02/3.36 Id : 7187, {_}: multiply (inverse ?7359) (add n1 ?7359) =>= add (inverse ?7359) (inverse n1) [7359] by Super 57 with 7135 at 2,3
% 12.02/3.36 Id : 7236, {_}: multiply (inverse ?7359) (add n1 ?7359) =>= inverse ?7359 [7359] by Demod 7187 with 7082 at 3
% 12.02/3.36 Id : 7561, {_}: add (inverse ?7768) (add n1 ?7768) =>= add n1 ?7768 [7768] by Super 7152 with 7236 at 1,2
% 12.02/3.36 Id : 7918, {_}: multiply (add n1 ?8293) (add ?8294 ?8293) =<= add (multiply ?8294 (add (inverse ?8293) (add n1 ?8293))) ?8293 [8294, 8293] by Super 7882 with 7561 at 1,2
% 12.02/3.36 Id : 11171, {_}: multiply (add n1 ?12084) (add ?12085 ?12084) =>= add (multiply ?12085 (add n1 ?12084)) ?12084 [12085, 12084] by Demod 7918 with 7561 at 2,1,3
% 12.02/3.36 Id : 11187, {_}: multiply (add n1 ?12127) n1 =<= add (multiply (inverse ?12127) (add n1 ?12127)) ?12127 [12127] by Super 11171 with 8510 at 2,2
% 12.02/3.36 Id : 11313, {_}: multiply n1 (add n1 ?12127) =<= add (multiply (inverse ?12127) (add n1 ?12127)) ?12127 [12127] by Demod 11187 with 7524 at 2
% 12.02/3.36 Id : 7189, {_}: multiply (inverse ?7364) (add ?7365 ?7364) =?= add (multiply ?7365 (inverse ?7364)) (inverse n1) [7365, 7364] by Super 3 with 7135 at 2,3
% 12.02/3.36 Id : 7230, {_}: multiply (inverse ?7364) (add ?7365 ?7364) =>= multiply ?7365 (inverse ?7364) [7365, 7364] by Demod 7189 with 7082 at 3
% 12.02/3.36 Id : 11314, {_}: multiply n1 (add n1 ?12127) =<= add (multiply n1 (inverse ?12127)) ?12127 [12127] by Demod 11313 with 7230 at 1,3
% 12.02/3.36 Id : 121, {_}: multiply (multiply ?320 n1) (add ?320 ?321) =<= add (multiply ?320 n1) (multiply ?321 (multiply ?320 n1)) [321, 320] by Super 14 with 120 at 1,2,2
% 12.02/3.36 Id : 7065, {_}: multiply ?320 (add ?320 ?321) =<= add (multiply ?320 n1) (multiply ?321 (multiply ?320 n1)) [321, 320] by Demod 121 with 7052 at 1,2
% 12.02/3.36 Id : 7066, {_}: multiply ?320 (add ?320 ?321) =<= add ?320 (multiply ?321 (multiply ?320 n1)) [321, 320] by Demod 7065 with 7052 at 1,3
% 12.02/3.36 Id : 7067, {_}: multiply ?320 (add ?320 ?321) =>= add ?320 (multiply ?321 ?320) [321, 320] by Demod 7066 with 7052 at 2,2,3
% 12.02/3.36 Id : 11315, {_}: add n1 (multiply ?12127 n1) =<= add (multiply n1 (inverse ?12127)) ?12127 [12127] by Demod 11314 with 7067 at 2
% 12.02/3.36 Id : 11316, {_}: add n1 (multiply ?12127 n1) =?= add (inverse ?12127) ?12127 [12127] by Demod 11315 with 7050 at 1,3
% 12.02/3.36 Id : 11317, {_}: add n1 ?12127 =<= add (inverse ?12127) ?12127 [12127] by Demod 11316 with 7052 at 2,2
% 12.02/3.36 Id : 11318, {_}: add n1 ?12127 =>= n1 [12127] by Demod 11317 with 8510 at 3
% 12.02/3.36 Id : 11406, {_}: multiply ?12227 (add n1 ?12228) =?= add ?12227 (multiply ?12228 ?12227) [12228, 12227] by Super 14 with 11318 at 1,2,2
% 12.02/3.36 Id : 11456, {_}: multiply ?12227 n1 =<= add ?12227 (multiply ?12228 ?12227) [12228, 12227] by Demod 11406 with 11318 at 2,2
% 12.02/3.36 Id : 11534, {_}: ?12361 =<= add ?12361 (multiply ?12362 ?12361) [12362, 12361] by Demod 11456 with 7052 at 2
% 12.02/3.36 Id : 11457, {_}: ?12227 =<= add ?12227 (multiply ?12228 ?12227) [12228, 12227] by Demod 11456 with 7052 at 2
% 12.02/3.36 Id : 11511, {_}: multiply ?320 (add ?320 ?321) =>= ?320 [321, 320] by Demod 7067 with 11457 at 3
% 12.02/3.36 Id : 11555, {_}: add ?12437 ?12438 =<= add (add ?12437 ?12438) ?12437 [12438, 12437] by Super 11534 with 11511 at 2,3
% 12.02/3.36 Id : 13416, {_}: add ?14787 ?14788 =<= add ?14788 (inverse (inverse ?14787)) [14788, 14787] by Demod 13415 with 11555 at 2
% 12.02/3.36 Id : 13417, {_}: add ?14787 ?14788 =?= add ?14788 ?14787 [14788, 14787] by Demod 13416 with 9897 at 2,3
% 12.02/3.36 Id : 22425, {_}: multiply (add ?26452 ?26453) (add ?26452 ?26454) =>= add ?26452 (multiply ?26454 (add ?26453 ?26452)) [26454, 26453, 26452] by Super 22376 with 13417 at 1,2
% 12.02/3.36 Id : 22711, {_}: multiply ?26771 (add ?26772 ?26773) =<= add (multiply ?26772 ?26771) (multiply ?26771 ?26773) [26773, 26772, 26771] by Super 3 with 7524 at 2,3
% 12.02/3.36 Id : 22779, {_}: multiply (add ?27072 ?27073) (add ?27072 ?27074) =>= add ?27072 (multiply (add ?27072 ?27073) ?27074) [27074, 27073, 27072] by Super 22711 with 11511 at 1,3
% 12.02/3.36 Id : 34154, {_}: add ?27072 (multiply ?27074 (add ?27073 ?27072)) =?= add ?27072 (multiply (add ?27072 ?27073) ?27074) [27073, 27074, 27072] by Demod 22779 with 22425 at 2
% 12.02/3.36 Id : 23145, {_}: multiply ?27575 (add ?27576 ?27577) =<= add (multiply ?27575 ?27576) (multiply ?27577 ?27575) [27577, 27576, 27575] by Super 3 with 7524 at 1,3
% 12.02/3.36 Id : 23168, {_}: multiply (add ?27681 ?27682) (add ?27683 ?27681) =>= add (multiply (add ?27681 ?27682) ?27683) ?27681 [27683, 27682, 27681] by Super 23145 with 11511 at 2,3
% 12.02/3.36 Id : 23304, {_}: multiply (add ?27681 ?27682) (add ?27683 ?27681) =>= add ?27681 (multiply (add ?27681 ?27682) ?27683) [27683, 27682, 27681] by Demod 23168 with 13417 at 3
% 12.02/3.36 Id : 12810, {_}: multiply (add ?14157 ?14158) (add ?14159 ?14157) =<= add (multiply ?14159 (add (add ?14157 ?14158) ?14157)) ?14157 [14159, 14158, 14157] by Super 12773 with 11555 at 1,2
% 12.02/3.36 Id : 12952, {_}: multiply (add ?14157 ?14158) (add ?14159 ?14157) =>= add (multiply ?14159 (add ?14157 ?14158)) ?14157 [14159, 14158, 14157] by Demod 12810 with 11555 at 2,1,3
% 12.02/3.36 Id : 27552, {_}: multiply (add ?14157 ?14158) (add ?14159 ?14157) =>= add ?14157 (multiply ?14159 (add ?14157 ?14158)) [14159, 14158, 14157] by Demod 12952 with 13417 at 3
% 12.02/3.36 Id : 35077, {_}: add ?27681 (multiply ?27683 (add ?27681 ?27682)) =?= add ?27681 (multiply (add ?27681 ?27682) ?27683) [27682, 27683, 27681] by Demod 23304 with 27552 at 2
% 12.02/3.36 Id : 10188, {_}: multiply (add ?10782 ?10783) (add ?10783 ?10784) =>= add ?10783 (multiply ?10784 (add ?10782 ?10783)) [10784, 10783, 10782] by Demod 10082 with 7152 at 2,2,2,3
% 12.02/3.36 Id : 22356, {_}: multiply (add ?26176 ?26177) (add ?26178 ?26176) =>= add ?26176 (multiply ?26177 (add ?26178 ?26176)) [26178, 26177, 26176] by Super 7524 with 10188 at 3
% 12.02/3.36 Id : 31097, {_}: add ?41888 (multiply ?41889 (add ?41888 ?41890)) =?= add ?41888 (multiply ?41890 (add ?41889 ?41888)) [41890, 41889, 41888] by Demod 22356 with 27552 at 2
% 12.02/3.36 Id : 11509, {_}: multiply ?41 (add (add ?42 ?41) ?43) =>= ?41 [43, 42, 41] by Demod 14 with 11457 at 3
% 12.02/3.37 Id : 11512, {_}: multiply (multiply ?12280 ?12281) (add ?12281 ?12282) =>= multiply ?12280 ?12281 [12282, 12281, 12280] by Super 11509 with 11457 at 1,2,2
% 12.02/3.37 Id : 31158, {_}: add ?42140 (multiply ?42141 (add ?42140 (multiply ?42142 ?42141))) =>= add ?42140 (multiply ?42142 ?42141) [42142, 42141, 42140] by Super 31097 with 11512 at 2,3
% 12.02/3.37 Id : 12807, {_}: multiply ?14145 (add ?14146 (multiply ?14147 ?14145)) =<= add (multiply ?14146 (add ?14145 (multiply ?14147 ?14145))) (multiply ?14147 ?14145) [14147, 14146, 14145] by Super 12773 with 11457 at 1,2
% 12.02/3.37 Id : 12947, {_}: multiply ?14145 (add ?14146 (multiply ?14147 ?14145)) =>= add (multiply ?14146 ?14145) (multiply ?14147 ?14145) [14147, 14146, 14145] by Demod 12807 with 11457 at 2,1,3
% 12.02/3.37 Id : 12948, {_}: multiply ?14145 (add ?14146 (multiply ?14147 ?14145)) =>= multiply ?14145 (add ?14146 ?14147) [14147, 14146, 14145] by Demod 12947 with 3 at 3
% 12.02/3.37 Id : 31455, {_}: add ?42140 (multiply ?42141 (add ?42140 ?42142)) =>= add ?42140 (multiply ?42142 ?42141) [42142, 42141, 42140] by Demod 31158 with 12948 at 2,2
% 12.02/3.37 Id : 48900, {_}: add ?27681 (multiply ?27682 ?27683) =<= add ?27681 (multiply (add ?27681 ?27682) ?27683) [27683, 27682, 27681] by Demod 35077 with 31455 at 2
% 12.02/3.37 Id : 48902, {_}: add ?27072 (multiply ?27074 (add ?27073 ?27072)) =>= add ?27072 (multiply ?27073 ?27074) [27073, 27074, 27072] by Demod 34154 with 48900 at 3
% 12.02/3.37 Id : 48903, {_}: multiply (add ?26452 ?26453) (add ?26452 ?26454) =>= add ?26452 (multiply ?26453 ?26454) [26454, 26453, 26452] by Demod 22425 with 48902 at 3
% 12.02/3.37 Id : 49411, {_}: add a (multiply b c) =?= add a (multiply b c) [] by Demod 1 with 48903 at 3
% 12.02/3.37 Id : 1, {_}: add a (multiply b c) =<= multiply (add a b) (add a c) [] by prove_add_multiply_property
% 12.02/3.37 % SZS output end CNFRefutation for theBenchmark.p
% 12.02/3.37 26891: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 3.029561 using kbo
%------------------------------------------------------------------------------