TSTP Solution File: RNG008-7 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n023.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 : Mon Jul 18 20:35:28 EDT 2022
% Result : Unsatisfiable 11.67s 3.30s
% Output : CNFRefutation 11.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n023.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 : Mon May 30 11:51:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 8053: Facts:
% 0.12/0.33 8053: Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.12/0.33 8053: Id : 3, {_}:
% 0.12/0.33 add ?4 additive_identity =>= ?4
% 0.12/0.33 [4] by right_additive_identity ?4
% 0.12/0.33 8053: Id : 4, {_}:
% 0.12/0.33 add (additive_inverse ?6) ?6 =>= additive_identity
% 0.12/0.33 [6] by left_additive_inverse ?6
% 0.12/0.33 8053: Id : 5, {_}:
% 0.12/0.33 add ?8 (additive_inverse ?8) =>= additive_identity
% 0.12/0.33 [8] by right_additive_inverse ?8
% 0.12/0.33 8053: Id : 6, {_}:
% 0.12/0.33 add ?10 (add ?11 ?12) =?= add (add ?10 ?11) ?12
% 0.12/0.33 [12, 11, 10] by associativity_for_addition ?10 ?11 ?12
% 0.12/0.33 8053: Id : 7, {_}:
% 0.12/0.33 add ?14 ?15 =?= add ?15 ?14
% 0.12/0.33 [15, 14] by commutativity_for_addition ?14 ?15
% 0.12/0.33 8053: Id : 8, {_}:
% 0.12/0.33 multiply ?17 (multiply ?18 ?19) =?= multiply (multiply ?17 ?18) ?19
% 0.12/0.33 [19, 18, 17] by associativity_for_multiplication ?17 ?18 ?19
% 0.12/0.33 8053: Id : 9, {_}:
% 0.12/0.33 multiply ?21 (add ?22 ?23)
% 0.12/0.33 =<=
% 0.12/0.33 add (multiply ?21 ?22) (multiply ?21 ?23)
% 0.12/0.33 [23, 22, 21] by distribute1 ?21 ?22 ?23
% 0.12/0.33 8053: Id : 10, {_}:
% 0.12/0.33 multiply (add ?25 ?26) ?27
% 0.12/0.33 =<=
% 0.12/0.33 add (multiply ?25 ?27) (multiply ?26 ?27)
% 0.12/0.33 [27, 26, 25] by distribute2 ?25 ?26 ?27
% 0.12/0.33 8053: Id : 11, {_}: multiply ?29 ?29 =>= ?29 [29] by boolean_ring ?29
% 0.12/0.33 8053: Id : 12, {_}: multiply a b =>= c [] by a_times_b_is_c
% 0.12/0.33 8053: Goal:
% 0.12/0.33 8053: Id : 1, {_}: multiply b a =>= c [] by prove_commutativity
% 11.67/3.30 Statistics :
% 11.67/3.30 Max weight : 16
% 11.67/3.30 Found proof, 2.969198s
% 11.67/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 11.67/3.30 % SZS output start CNFRefutation for theBenchmark.p
% 11.67/3.30 Id : 3, {_}: add ?4 additive_identity =>= ?4 [4] by right_additive_identity ?4
% 11.67/3.30 Id : 4, {_}: add (additive_inverse ?6) ?6 =>= additive_identity [6] by left_additive_inverse ?6
% 11.67/3.30 Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 11.67/3.30 Id : 5, {_}: add ?8 (additive_inverse ?8) =>= additive_identity [8] by right_additive_inverse ?8
% 11.67/3.30 Id : 29, {_}: add ?58 (add ?59 ?60) =?= add (add ?58 ?59) ?60 [60, 59, 58] by associativity_for_addition ?58 ?59 ?60
% 11.67/3.30 Id : 6, {_}: add ?10 (add ?11 ?12) =?= add (add ?10 ?11) ?12 [12, 11, 10] by associativity_for_addition ?10 ?11 ?12
% 11.67/3.30 Id : 7, {_}: add ?14 ?15 =?= add ?15 ?14 [15, 14] by commutativity_for_addition ?14 ?15
% 11.67/3.30 Id : 9, {_}: multiply ?21 (add ?22 ?23) =<= add (multiply ?21 ?22) (multiply ?21 ?23) [23, 22, 21] by distribute1 ?21 ?22 ?23
% 11.67/3.30 Id : 11, {_}: multiply ?29 ?29 =>= ?29 [29] by boolean_ring ?29
% 11.67/3.30 Id : 12, {_}: multiply a b =>= c [] by a_times_b_is_c
% 11.67/3.30 Id : 8, {_}: multiply ?17 (multiply ?18 ?19) =?= multiply (multiply ?17 ?18) ?19 [19, 18, 17] by associativity_for_multiplication ?17 ?18 ?19
% 11.67/3.30 Id : 10, {_}: multiply (add ?25 ?26) ?27 =<= add (multiply ?25 ?27) (multiply ?26 ?27) [27, 26, 25] by distribute2 ?25 ?26 ?27
% 11.67/3.30 Id : 163, {_}: multiply a (multiply b ?409) =>= multiply c ?409 [409] by Super 8 with 12 at 1,3
% 11.67/3.30 Id : 156, {_}: multiply (add ?392 ?393) ?392 =<= add ?392 (multiply ?393 ?392) [393, 392] by Super 10 with 11 at 1,3
% 11.67/3.30 Id : 642, {_}: multiply ?923 (add ?924 ?923) =<= add (multiply ?923 ?924) ?923 [924, 923] by Super 9 with 11 at 2,3
% 11.67/3.30 Id : 162, {_}: multiply (add a ?407) b =<= add c (multiply ?407 b) [407] by Super 10 with 12 at 1,3
% 11.67/3.30 Id : 221, {_}: multiply a (multiply b ?476) =>= multiply c ?476 [476] by Super 8 with 12 at 1,3
% 11.67/3.30 Id : 222, {_}: multiply a b =<= multiply c b [] by Super 221 with 11 at 2,2
% 11.67/3.30 Id : 230, {_}: c =<= multiply c b [] by Demod 222 with 12 at 2
% 11.67/3.30 Id : 231, {_}: multiply (add a c) b =>= add c c [] by Super 162 with 230 at 2,3
% 11.67/3.30 Id : 651, {_}: multiply (add a c) (add b (add a c)) =>= add (add c c) (add a c) [] by Super 642 with 231 at 1,3
% 11.67/3.30 Id : 693, {_}: multiply (add a c) (add b (add a c)) =>= add (add a c) (add c c) [] by Demod 651 with 7 at 3
% 11.67/3.30 Id : 694, {_}: multiply (add a c) (add b (add a c)) =>= add a (add c (add c c)) [] by Demod 693 with 6 at 3
% 11.67/3.30 Id : 33, {_}: add ?71 (add (additive_inverse ?71) ?72) =>= add additive_identity ?72 [72, 71] by Super 29 with 5 at 1,3
% 11.67/3.30 Id : 52, {_}: add ?71 (add (additive_inverse ?71) ?72) =>= ?72 [72, 71] by Demod 33 with 2 at 3
% 11.67/3.30 Id : 32, {_}: add (additive_inverse ?68) (add ?68 ?69) =>= add additive_identity ?69 [69, 68] by Super 29 with 4 at 1,3
% 11.67/3.30 Id : 51, {_}: add (additive_inverse ?68) (add ?68 ?69) =>= ?69 [69, 68] by Demod 32 with 2 at 3
% 11.67/3.30 Id : 155, {_}: multiply (add ?389 ?390) ?390 =<= add (multiply ?389 ?390) ?390 [390, 389] by Super 10 with 11 at 2,3
% 11.67/3.30 Id : 10016, {_}: add c (add (multiply ?7689 b) ?7690) =<= add (multiply (add a ?7689) b) ?7690 [7690, 7689] by Super 6 with 162 at 1,3
% 11.67/3.30 Id : 1651, {_}: add ?1748 (multiply ?1749 ?1748) =>= multiply (add ?1749 ?1748) ?1748 [1749, 1748] by Super 7 with 155 at 3
% 11.67/3.30 Id : 7583, {_}: multiply (add ?1748 ?1749) ?1748 =?= multiply (add ?1749 ?1748) ?1748 [1749, 1748] by Demod 1651 with 156 at 2
% 11.67/3.30 Id : 10040, {_}: add c (add (multiply b b) ?7750) =<= add (multiply (add b a) b) ?7750 [7750] by Super 10016 with 7583 at 1,3
% 11.67/3.30 Id : 10170, {_}: add c (add b ?7750) =<= add (multiply (add b a) b) ?7750 [7750] by Demod 10040 with 11 at 1,2,2
% 11.67/3.30 Id : 181, {_}: multiply (add a ?426) b =<= add c (multiply ?426 b) [426] by Super 10 with 12 at 1,3
% 11.67/3.30 Id : 182, {_}: multiply (add a b) b =>= add c b [] by Super 181 with 11 at 2,3
% 11.67/3.30 Id : 188, {_}: multiply (add b a) b =>= add c b [] by Demod 182 with 7 at 1,2
% 11.67/3.30 Id : 189, {_}: multiply (add b a) b =>= add b c [] by Demod 188 with 7 at 3
% 11.67/3.30 Id : 10171, {_}: add c (add b ?7750) =<= add (add b c) ?7750 [7750] by Demod 10170 with 189 at 1,3
% 11.67/3.30 Id : 10218, {_}: add c (add b ?7829) =>= add b (add c ?7829) [7829] by Demod 10171 with 6 at 3
% 11.67/3.30 Id : 150, {_}: multiply ?374 (add ?374 ?375) =<= add ?374 (multiply ?374 ?375) [375, 374] by Super 9 with 11 at 1,3
% 11.67/3.30 Id : 11384, {_}: add c (multiply b (add b ?8499)) =>= add b (add c (multiply b ?8499)) [8499] by Super 10218 with 150 at 2,2
% 11.67/3.30 Id : 11386, {_}: add c (multiply b additive_identity) =<= add b (add c (multiply b (additive_inverse b))) [] by Super 11384 with 5 at 2,2,2
% 11.67/3.30 Id : 11385, {_}: add c (multiply b b) =<= add b (add c (multiply b additive_identity)) [] by Super 11384 with 3 at 2,2,2
% 11.67/3.30 Id : 11431, {_}: multiply (add a b) b =<= add b (add c (multiply b additive_identity)) [] by Demod 11385 with 162 at 2
% 11.67/3.30 Id : 161, {_}: multiply (add ?405 a) b =<= add (multiply ?405 b) c [405] by Super 10 with 12 at 2,3
% 11.67/3.30 Id : 169, {_}: multiply (add ?405 a) b =<= add c (multiply ?405 b) [405] by Demod 161 with 7 at 3
% 11.67/3.30 Id : 335, {_}: multiply (add ?405 a) b =?= multiply (add a ?405) b [405] by Demod 169 with 162 at 3
% 11.67/3.30 Id : 11432, {_}: multiply (add b a) b =<= add b (add c (multiply b additive_identity)) [] by Demod 11431 with 335 at 2
% 11.67/3.30 Id : 11433, {_}: add b c =<= add b (add c (multiply b additive_identity)) [] by Demod 11432 with 189 at 2
% 11.67/3.30 Id : 11460, {_}: add (additive_inverse b) (add b c) =>= add c (multiply b additive_identity) [] by Super 51 with 11433 at 2,2
% 11.67/3.30 Id : 11470, {_}: c =<= add c (multiply b additive_identity) [] by Demod 11460 with 51 at 2
% 11.67/3.30 Id : 11524, {_}: add (additive_inverse c) c =>= multiply b additive_identity [] by Super 51 with 11470 at 2,2
% 11.67/3.30 Id : 11579, {_}: additive_identity =<= multiply b additive_identity [] by Demod 11524 with 4 at 2
% 11.67/3.30 Id : 13672, {_}: add c additive_identity =<= add b (add c (multiply b (additive_inverse b))) [] by Demod 11386 with 11579 at 2,2
% 11.67/3.30 Id : 13673, {_}: c =<= add b (add c (multiply b (additive_inverse b))) [] by Demod 13672 with 3 at 2
% 11.67/3.30 Id : 13689, {_}: add (additive_inverse b) c =<= add c (multiply b (additive_inverse b)) [] by Super 51 with 13673 at 2,2
% 11.67/3.30 Id : 13702, {_}: add c (additive_inverse b) =<= add c (multiply b (additive_inverse b)) [] by Demod 13689 with 7 at 2
% 11.67/3.30 Id : 13766, {_}: add (additive_inverse c) (add c (additive_inverse b)) =>= multiply b (additive_inverse b) [] by Super 51 with 13702 at 2,2
% 11.67/3.30 Id : 13842, {_}: additive_inverse b =<= multiply b (additive_inverse b) [] by Demod 13766 with 51 at 2
% 11.67/3.30 Id : 13856, {_}: multiply (add b (additive_inverse b)) (additive_inverse b) =>= add (additive_inverse b) (additive_inverse b) [] by Super 155 with 13842 at 1,3
% 11.67/3.30 Id : 13860, {_}: multiply additive_identity (additive_inverse b) =<= add (additive_inverse b) (additive_inverse b) [] by Demod 13856 with 5 at 1,2
% 11.67/3.30 Id : 10017, {_}: add c (add (multiply additive_identity b) ?7692) =>= add (multiply a b) ?7692 [7692] by Super 10016 with 3 at 1,1,3
% 11.67/3.30 Id : 10133, {_}: add c (add (multiply additive_identity b) ?7692) =>= add c ?7692 [7692] by Demod 10017 with 12 at 1,3
% 11.67/3.30 Id : 10416, {_}: add (additive_inverse c) (add c ?7919) =>= add (multiply additive_identity b) ?7919 [7919] by Super 51 with 10133 at 2,2
% 11.67/3.30 Id : 10466, {_}: ?7919 =<= add (multiply additive_identity b) ?7919 [7919] by Demod 10416 with 51 at 2
% 11.67/3.30 Id : 10529, {_}: additive_identity =<= multiply additive_identity b [] by Super 3 with 10466 at 2
% 11.67/3.30 Id : 10685, {_}: multiply additive_identity (add ?8062 b) =<= add (multiply additive_identity ?8062) additive_identity [8062] by Super 9 with 10529 at 2,3
% 11.67/3.30 Id : 10795, {_}: multiply additive_identity (add ?8134 b) =>= multiply additive_identity ?8134 [8134] by Demod 10685 with 3 at 3
% 11.67/3.30 Id : 10797, {_}: multiply additive_identity additive_identity =<= multiply additive_identity (additive_inverse b) [] by Super 10795 with 4 at 2,2
% 11.67/3.30 Id : 10828, {_}: additive_identity =<= multiply additive_identity (additive_inverse b) [] by Demod 10797 with 11 at 2
% 11.67/3.30 Id : 13861, {_}: additive_identity =<= add (additive_inverse b) (additive_inverse b) [] by Demod 13860 with 10828 at 2
% 11.67/3.30 Id : 13952, {_}: add (additive_inverse (additive_inverse b)) additive_identity =>= additive_inverse b [] by Super 51 with 13861 at 2,2
% 11.67/3.30 Id : 13961, {_}: additive_inverse (additive_inverse b) =>= additive_inverse b [] by Demod 13952 with 3 at 2
% 11.67/3.30 Id : 9605, {_}: add (additive_inverse ?7321) (add ?7321 ?7322) =>= ?7322 [7322, 7321] by Demod 32 with 2 at 3
% 11.67/3.30 Id : 9608, {_}: add (additive_inverse (additive_inverse ?7328)) additive_identity =>= ?7328 [7328] by Super 9605 with 4 at 2,2
% 11.67/3.30 Id : 9698, {_}: additive_inverse (additive_inverse ?7328) =>= ?7328 [7328] by Demod 9608 with 3 at 2
% 11.67/3.30 Id : 13962, {_}: b =<= additive_inverse b [] by Demod 13961 with 9698 at 2
% 11.67/3.30 Id : 14224, {_}: add b (add b ?9857) =>= ?9857 [9857] by Super 52 with 13962 at 1,2,2
% 11.67/3.30 Id : 203, {_}: multiply (add a (add b a)) b =>= add c (add b c) [] by Super 162 with 189 at 2,3
% 11.67/3.30 Id : 205, {_}: multiply (add (add b a) ?451) b =<= add (add b c) (multiply ?451 b) [451] by Super 10 with 189 at 1,3
% 11.67/3.30 Id : 214, {_}: multiply (add b (add a ?451)) b =<= add (add b c) (multiply ?451 b) [451] by Demod 205 with 6 at 1,2
% 11.67/3.30 Id : 215, {_}: multiply (add b (add a ?451)) b =<= add (multiply ?451 b) (add b c) [451] by Demod 214 with 7 at 3
% 11.67/3.30 Id : 204, {_}: multiply (add ?449 (add b a)) b =<= add (multiply ?449 b) (add b c) [449] by Super 10 with 189 at 2,3
% 11.67/3.30 Id : 2602, {_}: multiply (add b (add a ?451)) b =?= multiply (add ?451 (add b a)) b [451] by Demod 215 with 204 at 3
% 11.67/3.30 Id : 2603, {_}: multiply (add b (add a a)) b =>= add c (add b c) [] by Demod 203 with 2602 at 2
% 11.67/3.30 Id : 1654, {_}: multiply (add ?1757 ?1758) ?1758 =<= add (multiply ?1757 ?1758) ?1758 [1758, 1757] by Super 10 with 11 at 2,3
% 11.67/3.30 Id : 183, {_}: multiply (add a a) b =>= add c c [] by Super 181 with 12 at 2,3
% 11.67/3.30 Id : 1660, {_}: multiply (add (add a a) b) b =>= add (add c c) b [] by Super 1654 with 183 at 1,3
% 11.67/3.30 Id : 1732, {_}: multiply (add b (add a a)) b =>= add (add c c) b [] by Demod 1660 with 7 at 1,2
% 11.67/3.30 Id : 1733, {_}: multiply (add b (add a a)) b =>= add b (add c c) [] by Demod 1732 with 7 at 3
% 11.67/3.30 Id : 2604, {_}: add b (add c c) =<= add c (add b c) [] by Demod 2603 with 1733 at 2
% 11.67/3.30 Id : 9630, {_}: add (additive_inverse c) (add b (add c c)) =>= add b c [] by Super 9605 with 2604 at 2,2
% 11.67/3.30 Id : 233, {_}: multiply (add c ?484) b =<= add c (multiply ?484 b) [484] by Super 10 with 230 at 1,3
% 11.67/3.30 Id : 476, {_}: multiply (add c ?779) b =>= multiply (add a ?779) b [779] by Demod 233 with 162 at 3
% 11.67/3.30 Id : 478, {_}: multiply additive_identity b =<= multiply (add a (additive_inverse c)) b [] by Super 476 with 5 at 1,2
% 11.67/3.30 Id : 10673, {_}: additive_identity =<= multiply (add a (additive_inverse c)) b [] by Demod 478 with 10529 at 2
% 11.67/3.30 Id : 259, {_}: multiply a (add b ?513) =<= add c (multiply a ?513) [513] by Super 9 with 12 at 1,3
% 11.67/3.30 Id : 261, {_}: multiply a (add b b) =>= add c c [] by Super 259 with 12 at 2,3
% 11.67/3.30 Id : 655, {_}: multiply a (add (add b b) a) =>= add (add c c) a [] by Super 642 with 261 at 1,3
% 11.67/3.30 Id : 701, {_}: multiply a (add a (add b b)) =>= add (add c c) a [] by Demod 655 with 7 at 2,2
% 11.67/3.30 Id : 702, {_}: multiply a (add a (add b b)) =>= add a (add c c) [] by Demod 701 with 7 at 3
% 11.67/3.30 Id : 271, {_}: multiply a (add (add b b) ?524) =<= add (add c c) (multiply a ?524) [524] by Super 9 with 261 at 1,3
% 11.67/3.30 Id : 279, {_}: multiply a (add b (add b ?524)) =<= add (add c c) (multiply a ?524) [524] by Demod 271 with 6 at 2,2
% 11.67/3.30 Id : 280, {_}: multiply a (add b (add b ?524)) =<= add (multiply a ?524) (add c c) [524] by Demod 279 with 7 at 3
% 11.67/3.30 Id : 270, {_}: multiply a (add ?522 (add b b)) =<= add (multiply a ?522) (add c c) [522] by Super 9 with 261 at 2,3
% 11.67/3.30 Id : 3115, {_}: multiply a (add b (add b ?524)) =?= multiply a (add ?524 (add b b)) [524] by Demod 280 with 270 at 3
% 11.67/3.30 Id : 3116, {_}: multiply a (add b (add b a)) =>= add a (add c c) [] by Demod 702 with 3115 at 2
% 11.67/3.30 Id : 165, {_}: multiply a (add b ?413) =<= add c (multiply a ?413) [413] by Super 9 with 12 at 1,3
% 11.67/3.30 Id : 260, {_}: multiply a (add b a) =>= add c a [] by Super 259 with 11 at 2,3
% 11.67/3.30 Id : 268, {_}: multiply a (add b a) =>= add a c [] by Demod 260 with 7 at 3
% 11.67/3.30 Id : 282, {_}: multiply a (add b (add b a)) =>= add c (add a c) [] by Super 165 with 268 at 2,3
% 11.67/3.30 Id : 3117, {_}: add c (add a c) =>= add a (add c c) [] by Demod 3116 with 282 at 2
% 11.67/3.30 Id : 9613, {_}: add (additive_inverse c) (add a (add c c)) =>= add a c [] by Super 9605 with 3117 at 2,2
% 11.67/3.30 Id : 287, {_}: multiply a (add (add b a) ?544) =<= add (add a c) (multiply a ?544) [544] by Super 9 with 268 at 1,3
% 11.67/3.30 Id : 290, {_}: multiply a (add b (add a ?544)) =<= add (add a c) (multiply a ?544) [544] by Demod 287 with 6 at 2,2
% 11.67/3.30 Id : 291, {_}: multiply a (add b (add a ?544)) =<= add (multiply a ?544) (add a c) [544] by Demod 290 with 7 at 3
% 11.67/3.30 Id : 286, {_}: multiply a (add ?542 (add b a)) =<= add (multiply a ?542) (add a c) [542] by Super 9 with 268 at 2,3
% 11.67/3.30 Id : 3475, {_}: multiply a (add b (add a ?2961)) =?= multiply a (add ?2961 (add b a)) [2961] by Demod 291 with 286 at 3
% 11.67/3.30 Id : 3478, {_}: multiply a (add b (add a ?2965)) =<= multiply a (add (add ?2965 b) a) [2965] by Super 3475 with 6 at 2,3
% 11.67/3.30 Id : 8693, {_}: multiply a (add b (add a ?6849)) =<= multiply a (add a (add ?6849 b)) [6849] by Demod 3478 with 7 at 2,3
% 11.67/3.30 Id : 8695, {_}: multiply a (add b (add a (additive_inverse b))) =>= multiply a (add a additive_identity) [] by Super 8693 with 4 at 2,2,3
% 11.67/3.30 Id : 8740, {_}: multiply a (add b (add a (additive_inverse b))) =>= multiply a a [] by Demod 8695 with 3 at 2,3
% 11.67/3.30 Id : 8741, {_}: multiply a (add b (add a (additive_inverse b))) =>= a [] by Demod 8740 with 11 at 3
% 11.67/3.30 Id : 13985, {_}: multiply a (add b (add a b)) =>= a [] by Demod 8741 with 13962 at 2,2,2,2
% 11.67/3.30 Id : 3445, {_}: multiply a (add b (add a ?544)) =?= multiply a (add ?544 (add b a)) [544] by Demod 291 with 286 at 3
% 11.67/3.30 Id : 14002, {_}: multiply a (add b (add b a)) =>= a [] by Demod 13985 with 3445 at 2
% 11.67/3.30 Id : 3119, {_}: multiply a (add b (add b a)) =>= add a (add c c) [] by Demod 282 with 3117 at 3
% 11.67/3.30 Id : 14003, {_}: add a (add c c) =>= a [] by Demod 14002 with 3119 at 2
% 11.67/3.30 Id : 14005, {_}: add (additive_inverse c) a =>= add a c [] by Demod 9613 with 14003 at 2,2
% 11.67/3.30 Id : 14008, {_}: add a (additive_inverse c) =>= add a c [] by Demod 14005 with 7 at 2
% 11.67/3.30 Id : 14014, {_}: additive_identity =<= multiply (add a c) b [] by Demod 10673 with 14008 at 1,3
% 11.67/3.30 Id : 14015, {_}: additive_identity =<= add c c [] by Demod 14014 with 231 at 3
% 11.67/3.30 Id : 14056, {_}: add (additive_inverse c) (add b additive_identity) =>= add b c [] by Demod 9630 with 14015 at 2,2,2
% 11.67/3.30 Id : 14059, {_}: add (additive_inverse c) b =>= add b c [] by Demod 14056 with 3 at 2,2
% 11.67/3.30 Id : 14060, {_}: add b (additive_inverse c) =>= add b c [] by Demod 14059 with 7 at 2
% 11.67/3.30 Id : 14229, {_}: add b (add b c) =>= additive_inverse c [] by Super 14224 with 14060 at 2,2
% 11.67/3.30 Id : 14185, {_}: add b (add b ?9810) =>= ?9810 [9810] by Super 52 with 13962 at 1,2,2
% 11.67/3.30 Id : 14278, {_}: c =<= additive_inverse c [] by Demod 14229 with 14185 at 2
% 11.67/3.30 Id : 14290, {_}: add c (add c ?9877) =>= ?9877 [9877] by Super 52 with 14278 at 1,2,2
% 11.67/3.30 Id : 33962, {_}: multiply (add a c) (add b (add a c)) =>= add a c [] by Demod 694 with 14290 at 2,3
% 11.67/3.30 Id : 33973, {_}: multiply (add (add b (add a c)) (add a c)) (add b (add a c)) =>= add (add b (add a c)) (add a c) [] by Super 156 with 33962 at 2,3
% 11.67/3.30 Id : 33989, {_}: multiply (add b (add (add a c) (add a c))) (add b (add a c)) =>= add (add b (add a c)) (add a c) [] by Demod 33973 with 6 at 1,2
% 11.67/3.30 Id : 33990, {_}: multiply (add b (add (add a c) (add a c))) (add b (add a c)) =>= add b (add (add a c) (add a c)) [] by Demod 33989 with 6 at 3
% 11.67/3.30 Id : 33991, {_}: multiply (add b (add a (add c (add a c)))) (add b (add a c)) =>= add b (add (add a c) (add a c)) [] by Demod 33990 with 6 at 2,1,2
% 11.67/3.30 Id : 33992, {_}: multiply (add b (add a (add c (add a c)))) (add b (add a c)) =>= add b (add a (add c (add a c))) [] by Demod 33991 with 6 at 2,3
% 11.67/3.30 Id : 14404, {_}: add c (add c ?9984) =>= ?9984 [9984] by Super 52 with 14278 at 1,2,2
% 11.67/3.30 Id : 14407, {_}: add c (add ?9988 c) =>= ?9988 [9988] by Super 14404 with 7 at 2,2
% 11.67/3.30 Id : 33993, {_}: multiply (add b (add a a)) (add b (add a c)) =>= add b (add a (add c (add a c))) [] by Demod 33992 with 14407 at 2,2,1,2
% 11.67/3.30 Id : 33994, {_}: multiply (add b (add a a)) (add b (add a c)) =>= add b (add a a) [] by Demod 33993 with 14407 at 2,2,3
% 11.67/3.30 Id : 242, {_}: multiply (add c ?484) b =>= multiply (add a ?484) b [484] by Demod 233 with 162 at 3
% 11.67/3.30 Id : 16419, {_}: multiply ?11112 b =<= multiply (add a (add ?11112 c)) b [11112] by Super 242 with 14407 at 1,2
% 11.67/3.30 Id : 16429, {_}: multiply (additive_inverse a) b =>= multiply c b [] by Super 16419 with 52 at 1,3
% 11.67/3.30 Id : 16484, {_}: multiply (additive_inverse a) b =>= c [] by Demod 16429 with 230 at 3
% 11.67/3.30 Id : 16498, {_}: multiply (additive_inverse a) (add b ?11143) =<= add c (multiply (additive_inverse a) ?11143) [11143] by Super 9 with 16484 at 1,3
% 11.67/3.30 Id : 24106, {_}: add c (add (multiply a ?15903) ?15904) =<= add (multiply a (add b ?15903)) ?15904 [15904, 15903] by Super 6 with 165 at 1,3
% 11.67/3.30 Id : 24117, {_}: add c (add (multiply a a) ?15933) =>= add (add a c) ?15933 [15933] by Super 24106 with 268 at 1,3
% 11.67/3.30 Id : 24437, {_}: add c (add a ?15933) =<= add (add a c) ?15933 [15933] by Demod 24117 with 11 at 1,2,2
% 11.67/3.30 Id : 24529, {_}: add c (add a ?16053) =>= add a (add c ?16053) [16053] by Demod 24437 with 6 at 3
% 11.67/3.30 Id : 25301, {_}: add c (multiply (add a ?16464) a) =>= add a (add c (multiply ?16464 a)) [16464] by Super 24529 with 156 at 2,2
% 11.67/3.30 Id : 25303, {_}: add c (multiply additive_identity a) =<= add a (add c (multiply (additive_inverse a) a)) [] by Super 25301 with 5 at 1,2,2
% 11.67/3.30 Id : 25361, {_}: add c (multiply additive_identity a) =<= add a (multiply (additive_inverse a) (add b a)) [] by Demod 25303 with 16498 at 2,3
% 11.67/3.30 Id : 946, {_}: multiply ?1194 (multiply ?1194 ?1195) =>= multiply ?1194 ?1195 [1195, 1194] by Super 8 with 11 at 1,3
% 11.67/3.30 Id : 949, {_}: multiply a c =>= multiply a b [] by Super 946 with 12 at 2,2
% 11.67/3.30 Id : 996, {_}: multiply a c =>= c [] by Demod 949 with 12 at 3
% 11.67/3.30 Id : 1044, {_}: multiply a (add c ?1270) =<= add c (multiply a ?1270) [1270] by Super 9 with 996 at 1,3
% 11.67/3.30 Id : 1050, {_}: multiply a (add c ?1270) =>= multiply a (add b ?1270) [1270] by Demod 1044 with 165 at 3
% 11.67/3.30 Id : 1231, {_}: multiply a (add b (add c ?1425)) =<= add c (multiply a (add b ?1425)) [1425] by Super 165 with 1050 at 2,3
% 11.67/3.31 Id : 1257, {_}: multiply a (add b (add c ?1425)) =>= multiply a (add b (add b ?1425)) [1425] by Demod 1231 with 165 at 3
% 11.67/3.31 Id : 14044, {_}: multiply a (add ?522 (add b b)) =>= add (multiply a ?522) additive_identity [522] by Demod 270 with 14015 at 2,3
% 11.67/3.31 Id : 14083, {_}: multiply a (add ?522 (add b b)) =>= multiply a ?522 [522] by Demod 14044 with 3 at 3
% 11.67/3.31 Id : 14084, {_}: multiply a (add b (add b ?524)) =>= multiply a ?524 [524] by Demod 3115 with 14083 at 3
% 11.67/3.31 Id : 14088, {_}: multiply a (add b (add c ?1425)) =>= multiply a ?1425 [1425] by Demod 1257 with 14084 at 3
% 11.67/3.31 Id : 25302, {_}: add c (multiply a a) =<= add a (add c (multiply additive_identity a)) [] by Super 25301 with 3 at 1,2,2
% 11.67/3.31 Id : 25359, {_}: multiply a (add b a) =<= add a (add c (multiply additive_identity a)) [] by Demod 25302 with 165 at 2
% 11.67/3.31 Id : 25360, {_}: add a c =<= add a (add c (multiply additive_identity a)) [] by Demod 25359 with 268 at 2
% 11.67/3.31 Id : 25384, {_}: add (additive_inverse a) (add a c) =>= add c (multiply additive_identity a) [] by Super 51 with 25360 at 2,2
% 11.67/3.31 Id : 25507, {_}: c =<= add c (multiply additive_identity a) [] by Demod 25384 with 51 at 2
% 11.67/3.31 Id : 25565, {_}: multiply a (add b c) =>= multiply a (multiply additive_identity a) [] by Super 14088 with 25507 at 2,2,2
% 11.67/3.31 Id : 1238, {_}: multiply a (add c ?1444) =>= multiply a (add b ?1444) [1444] by Demod 1044 with 165 at 3
% 11.67/3.31 Id : 1240, {_}: multiply a additive_identity =<= multiply a (add b (additive_inverse c)) [] by Super 1238 with 5 at 2,2
% 11.67/3.31 Id : 14063, {_}: multiply a additive_identity =<= multiply a (add b c) [] by Demod 1240 with 14060 at 2,3
% 11.67/3.31 Id : 956, {_}: multiply (add a c) (add c c) =>= multiply (add a c) b [] by Super 946 with 231 at 2,2
% 11.67/3.31 Id : 1002, {_}: multiply (add a c) (add c c) =>= add c c [] by Demod 956 with 231 at 3
% 11.67/3.31 Id : 14042, {_}: multiply (add a c) additive_identity =>= add c c [] by Demod 1002 with 14015 at 2,2
% 11.67/3.31 Id : 14043, {_}: multiply (add a c) additive_identity =>= additive_identity [] by Demod 14042 with 14015 at 3
% 11.67/3.31 Id : 11586, {_}: multiply a additive_identity =<= multiply c additive_identity [] by Super 163 with 11579 at 2,2
% 11.67/3.31 Id : 11630, {_}: multiply (add ?8586 c) additive_identity =<= add (multiply ?8586 additive_identity) (multiply a additive_identity) [8586] by Super 10 with 11586 at 2,3
% 11.67/3.31 Id : 11657, {_}: multiply (add ?8586 c) additive_identity =>= multiply (add ?8586 a) additive_identity [8586] by Demod 11630 with 10 at 3
% 11.67/3.31 Id : 14091, {_}: multiply (add a a) additive_identity =>= additive_identity [] by Demod 14043 with 11657 at 2
% 11.67/3.31 Id : 285, {_}: multiply a (multiply (add b a) ?540) =>= multiply (add a c) ?540 [540] by Super 8 with 268 at 1,3
% 11.67/3.31 Id : 11591, {_}: multiply (add b ?8570) additive_identity =<= add additive_identity (multiply ?8570 additive_identity) [8570] by Super 10 with 11579 at 1,3
% 11.67/3.31 Id : 11611, {_}: multiply (add b ?8570) additive_identity =>= multiply ?8570 additive_identity [8570] by Demod 11591 with 2 at 3
% 11.67/3.31 Id : 12013, {_}: multiply a (multiply a additive_identity) =<= multiply (add a c) additive_identity [] by Super 285 with 11611 at 2,2
% 11.67/3.31 Id : 151, {_}: multiply ?377 (multiply ?377 ?378) =>= multiply ?377 ?378 [378, 377] by Super 8 with 11 at 1,3
% 11.67/3.31 Id : 12068, {_}: multiply a additive_identity =<= multiply (add a c) additive_identity [] by Demod 12013 with 151 at 2
% 11.67/3.31 Id : 12237, {_}: multiply a additive_identity =<= multiply (add a a) additive_identity [] by Demod 12068 with 11657 at 3
% 11.67/3.31 Id : 14092, {_}: multiply a additive_identity =>= additive_identity [] by Demod 14091 with 12237 at 2
% 11.67/3.31 Id : 14093, {_}: additive_identity =<= multiply a (add b c) [] by Demod 14063 with 14092 at 2
% 11.67/3.31 Id : 25585, {_}: additive_identity =<= multiply a (multiply additive_identity a) [] by Demod 25565 with 14093 at 2
% 11.67/3.31 Id : 394, {_}: multiply c (add b ?676) =<= add c (multiply c ?676) [676] by Super 9 with 230 at 1,3
% 11.67/3.31 Id : 395, {_}: multiply c (add b c) =>= add c c [] by Super 394 with 11 at 2,3
% 11.67/3.31 Id : 407, {_}: multiply c (multiply (add b c) ?689) =>= multiply (add c c) ?689 [689] by Super 8 with 395 at 1,3
% 11.67/3.31 Id : 3620, {_}: multiply c (multiply (add c c) ?3043) =>= multiply c (multiply (add b c) ?3043) [3043] by Super 151 with 407 at 2,2
% 11.67/3.31 Id : 3636, {_}: multiply c (multiply (add c c) ?3043) =>= multiply (add c c) ?3043 [3043] by Demod 3620 with 407 at 3
% 11.67/3.31 Id : 14054, {_}: multiply c (multiply additive_identity ?3043) =<= multiply (add c c) ?3043 [3043] by Demod 3636 with 14015 at 1,2,2
% 11.67/3.31 Id : 14055, {_}: multiply c (multiply additive_identity ?3043) =>= multiply additive_identity ?3043 [3043] by Demod 14054 with 14015 at 1,3
% 11.67/3.31 Id : 11632, {_}: multiply c (multiply additive_identity ?8590) =<= multiply (multiply a additive_identity) ?8590 [8590] by Super 8 with 11586 at 1,3
% 11.67/3.31 Id : 11656, {_}: multiply c (multiply additive_identity ?8590) =>= multiply a (multiply additive_identity ?8590) [8590] by Demod 11632 with 8 at 3
% 11.67/3.31 Id : 14071, {_}: multiply a (multiply additive_identity ?3043) =>= multiply additive_identity ?3043 [3043] by Demod 14055 with 11656 at 2
% 11.67/3.31 Id : 25586, {_}: additive_identity =<= multiply additive_identity a [] by Demod 25585 with 14071 at 3
% 11.67/3.31 Id : 28179, {_}: add c additive_identity =<= add a (multiply (additive_inverse a) (add b a)) [] by Demod 25361 with 25586 at 2,2
% 11.67/3.31 Id : 28180, {_}: c =<= add a (multiply (additive_inverse a) (add b a)) [] by Demod 28179 with 3 at 2
% 11.67/3.31 Id : 28198, {_}: add (additive_inverse a) c =<= multiply (additive_inverse a) (add b a) [] by Super 51 with 28180 at 2,2
% 11.67/3.31 Id : 28230, {_}: add c (additive_inverse a) =<= multiply (additive_inverse a) (add b a) [] by Demod 28198 with 7 at 2
% 11.67/3.31 Id : 28312, {_}: multiply (additive_inverse a) (add b (add b a)) =>= add c (add c (additive_inverse a)) [] by Super 16498 with 28230 at 2,3
% 11.67/3.31 Id : 28342, {_}: multiply (additive_inverse a) a =<= add c (add c (additive_inverse a)) [] by Demod 28312 with 14185 at 2,2
% 11.67/3.31 Id : 28343, {_}: multiply (additive_inverse a) a =>= additive_inverse a [] by Demod 28342 with 14290 at 3
% 11.67/3.31 Id : 28362, {_}: multiply (additive_inverse a) (add (additive_inverse a) a) =>= add (additive_inverse a) (additive_inverse a) [] by Super 150 with 28343 at 2,3
% 11.67/3.31 Id : 149, {_}: multiply ?371 (add ?372 ?371) =<= add (multiply ?371 ?372) ?371 [372, 371] by Super 9 with 11 at 2,3
% 11.67/3.31 Id : 640, {_}: add ?917 (multiply ?917 ?918) =>= multiply ?917 (add ?918 ?917) [918, 917] by Super 7 with 149 at 3
% 11.67/3.31 Id : 4550, {_}: multiply ?917 (add ?917 ?918) =?= multiply ?917 (add ?918 ?917) [918, 917] by Demod 640 with 150 at 2
% 11.67/3.31 Id : 28375, {_}: multiply (additive_inverse a) (add a (additive_inverse a)) =>= add (additive_inverse a) (additive_inverse a) [] by Demod 28362 with 4550 at 2
% 11.67/3.31 Id : 28376, {_}: multiply (additive_inverse a) additive_identity =<= add (additive_inverse a) (additive_inverse a) [] by Demod 28375 with 5 at 2,2
% 11.67/3.31 Id : 397, {_}: multiply c (add b b) =>= add c c [] by Super 394 with 230 at 2,3
% 11.67/3.31 Id : 419, {_}: multiply c (multiply (add b b) ?703) =>= multiply (add c c) ?703 [703] by Super 8 with 397 at 1,3
% 11.67/3.31 Id : 11590, {_}: multiply (add ?8568 b) additive_identity =<= add (multiply ?8568 additive_identity) additive_identity [8568] by Super 10 with 11579 at 2,3
% 11.67/3.31 Id : 11610, {_}: multiply (add ?8568 b) additive_identity =>= multiply ?8568 additive_identity [8568] by Demod 11590 with 3 at 3
% 11.67/3.31 Id : 11876, {_}: multiply c (multiply b additive_identity) =<= multiply (add c c) additive_identity [] by Super 419 with 11610 at 2,2
% 11.67/3.31 Id : 234, {_}: multiply c (multiply b ?486) =>= multiply c ?486 [486] by Super 8 with 230 at 1,3
% 11.67/3.31 Id : 11888, {_}: multiply c additive_identity =<= multiply (add c c) additive_identity [] by Demod 11876 with 234 at 2
% 11.67/3.31 Id : 11889, {_}: multiply a additive_identity =<= multiply (add c c) additive_identity [] by Demod 11888 with 11586 at 2
% 11.67/3.31 Id : 11963, {_}: multiply (add ?8756 (add c c)) additive_identity =<= add (multiply ?8756 additive_identity) (multiply a additive_identity) [8756] by Super 10 with 11889 at 2,3
% 11.67/3.31 Id : 11994, {_}: multiply (add ?8756 (add c c)) additive_identity =>= multiply (add ?8756 a) additive_identity [8756] by Demod 11963 with 10 at 3
% 11.67/3.31 Id : 14866, {_}: multiply (add ?8756 additive_identity) additive_identity =>= multiply (add ?8756 a) additive_identity [8756] by Demod 11994 with 14015 at 2,1,2
% 11.67/3.31 Id : 14884, {_}: multiply ?10288 additive_identity =<= multiply (add ?10288 a) additive_identity [10288] by Demod 14866 with 3 at 1,2
% 11.67/3.31 Id : 14886, {_}: multiply (additive_inverse a) additive_identity =>= multiply additive_identity additive_identity [] by Super 14884 with 4 at 1,3
% 11.67/3.31 Id : 14929, {_}: multiply (additive_inverse a) additive_identity =>= additive_identity [] by Demod 14886 with 11 at 3
% 11.67/3.31 Id : 28377, {_}: additive_identity =<= add (additive_inverse a) (additive_inverse a) [] by Demod 28376 with 14929 at 2
% 11.67/3.31 Id : 28403, {_}: add a additive_identity =>= additive_inverse a [] by Super 52 with 28377 at 2,2
% 11.67/3.31 Id : 28420, {_}: a =<= additive_inverse a [] by Demod 28403 with 3 at 2
% 11.67/3.31 Id : 28438, {_}: additive_identity =<= add a (additive_inverse a) [] by Demod 28377 with 28420 at 1,3
% 11.67/3.31 Id : 28439, {_}: additive_identity =<= add a a [] by Demod 28438 with 28420 at 2,3
% 11.67/3.31 Id : 33995, {_}: multiply (add b additive_identity) (add b (add a c)) =>= add b (add a a) [] by Demod 33994 with 28439 at 2,1,2
% 11.67/3.31 Id : 33996, {_}: multiply (add b additive_identity) (add b (add a c)) =>= add b additive_identity [] by Demod 33995 with 28439 at 2,3
% 11.67/3.31 Id : 33997, {_}: multiply b (add b (add a c)) =>= add b additive_identity [] by Demod 33996 with 3 at 1,2
% 11.67/3.31 Id : 33998, {_}: multiply b (add b (add a c)) =>= b [] by Demod 33997 with 3 at 3
% 11.67/3.31 Id : 34052, {_}: multiply a b =<= multiply c (add b (add a c)) [] by Super 163 with 33998 at 2,2
% 11.67/3.31 Id : 34091, {_}: c =<= multiply c (add b (add a c)) [] by Demod 34052 with 12 at 2
% 11.67/3.31 Id : 236, {_}: multiply c (add b ?490) =<= add c (multiply c ?490) [490] by Super 9 with 230 at 1,3
% 11.67/3.31 Id : 792, {_}: multiply c (add b ?490) =<= multiply c (add c ?490) [490] by Demod 236 with 150 at 3
% 11.67/3.31 Id : 14492, {_}: multiply c (add b (add ?10039 c)) =>= multiply c ?10039 [10039] by Super 792 with 14407 at 2,3
% 11.67/3.31 Id : 34092, {_}: c =<= multiply c a [] by Demod 34091 with 14492 at 3
% 11.67/3.31 Id : 34116, {_}: multiply (add c ?21416) a =<= add c (multiply ?21416 a) [21416] by Super 10 with 34092 at 1,3
% 11.67/3.31 Id : 34440, {_}: multiply (add c ?21570) a =<= add c (multiply ?21570 a) [21570] by Super 10 with 34092 at 1,3
% 11.67/3.31 Id : 16495, {_}: multiply (add b (additive_inverse a)) b =>= add b c [] by Super 156 with 16484 at 2,3
% 11.67/3.31 Id : 16599, {_}: multiply (add b (additive_inverse a)) (add (add b (additive_inverse a)) b) =>= add (add b (additive_inverse a)) (add b c) [] by Super 150 with 16495 at 2,3
% 11.67/3.31 Id : 16620, {_}: multiply (add b (additive_inverse a)) (add b (add b (additive_inverse a))) =>= add (add b (additive_inverse a)) (add b c) [] by Demod 16599 with 4550 at 2
% 11.67/3.31 Id : 16621, {_}: multiply (add b (additive_inverse a)) (add b (add b (additive_inverse a))) =>= add (add b c) (add b (additive_inverse a)) [] by Demod 16620 with 7 at 3
% 11.67/3.31 Id : 16622, {_}: multiply (add b (additive_inverse a)) (additive_inverse a) =<= add (add b c) (add b (additive_inverse a)) [] by Demod 16621 with 14185 at 2,2
% 11.67/3.31 Id : 16623, {_}: multiply (add b (additive_inverse a)) (additive_inverse a) =<= add b (add c (add b (additive_inverse a))) [] by Demod 16622 with 6 at 3
% 11.67/3.31 Id : 10172, {_}: add c (add b ?7750) =>= add b (add c ?7750) [7750] by Demod 10171 with 6 at 3
% 11.67/3.31 Id : 16624, {_}: multiply (add b (additive_inverse a)) (additive_inverse a) =<= add b (add b (add c (additive_inverse a))) [] by Demod 16623 with 10172 at 2,3
% 11.67/3.31 Id : 16625, {_}: multiply (add b (additive_inverse a)) (additive_inverse a) =>= add c (additive_inverse a) [] by Demod 16624 with 14185 at 3
% 11.67/3.31 Id : 28449, {_}: multiply (add b a) (additive_inverse a) =>= add c (additive_inverse a) [] by Demod 16625 with 28420 at 2,1,2
% 11.67/3.31 Id : 28450, {_}: multiply (add b a) a =>= add c (additive_inverse a) [] by Demod 28449 with 28420 at 2,2
% 11.67/3.31 Id : 28451, {_}: multiply (add b a) a =>= add c a [] by Demod 28450 with 28420 at 2,3
% 11.67/3.31 Id : 28506, {_}: multiply (add b a) a =>= add a c [] by Demod 28451 with 7 at 3
% 11.67/3.31 Id : 34444, {_}: multiply (add c (add b a)) a =>= add c (add a c) [] by Super 34440 with 28506 at 2,3
% 11.67/3.31 Id : 34512, {_}: multiply (add b (add c a)) a =>= add c (add a c) [] by Demod 34444 with 10172 at 1,2
% 11.67/3.31 Id : 34513, {_}: multiply (add b (add c a)) a =>= a [] by Demod 34512 with 14407 at 3
% 11.67/3.31 Id : 34514, {_}: multiply (add b (add a c)) a =>= a [] by Demod 34513 with 7 at 2,1,2
% 11.67/3.31 Id : 35250, {_}: multiply (add (add b (add a c)) a) a =>= add a a [] by Super 155 with 34514 at 1,3
% 11.67/3.31 Id : 35258, {_}: multiply (add a (add b (add a c))) a =>= add a a [] by Demod 35250 with 7583 at 2
% 11.67/3.31 Id : 35259, {_}: multiply (add a (add b (add a c))) a =>= additive_identity [] by Demod 35258 with 28439 at 3
% 11.67/3.31 Id : 10221, {_}: add c (add ?7833 b) =>= add b (add c ?7833) [7833] by Super 10218 with 7 at 2,2
% 11.67/3.31 Id : 24438, {_}: add c (add a ?15933) =>= add a (add c ?15933) [15933] by Demod 24437 with 6 at 3
% 11.67/3.31 Id : 24520, {_}: add a (add c b) =>= add b (add c a) [] by Super 10221 with 24438 at 2
% 11.67/3.31 Id : 24559, {_}: add a (add b c) =>= add b (add c a) [] by Demod 24520 with 7 at 2,2
% 11.67/3.31 Id : 24560, {_}: add a (add b c) =>= add b (add a c) [] by Demod 24559 with 7 at 2,3
% 11.67/3.31 Id : 24631, {_}: add a (add (add b c) ?16091) =<= add (add b (add a c)) ?16091 [16091] by Super 6 with 24560 at 1,3
% 11.67/3.31 Id : 24705, {_}: add a (add b (add c ?16091)) =<= add (add b (add a c)) ?16091 [16091] by Demod 24631 with 6 at 2,2
% 11.67/3.31 Id : 24706, {_}: add a (add b (add c ?16091)) =>= add b (add (add a c) ?16091) [16091] by Demod 24705 with 6 at 3
% 11.67/3.31 Id : 27145, {_}: add a (add b (add c ?17448)) =>= add b (add a (add c ?17448)) [17448] by Demod 24706 with 6 at 2,3
% 11.67/3.31 Id : 27149, {_}: add a (add b ?17454) =<= add b (add a (add c (add (additive_inverse c) ?17454))) [17454] by Super 27145 with 52 at 2,2,2
% 11.67/3.31 Id : 27238, {_}: add a (add b ?17454) =>= add b (add a ?17454) [17454] by Demod 27149 with 52 at 2,2,3
% 11.67/3.31 Id : 35260, {_}: multiply (add b (add a (add a c))) a =>= additive_identity [] by Demod 35259 with 27238 at 1,2
% 11.67/3.31 Id : 28533, {_}: add a (add a ?18151) =>= ?18151 [18151] by Super 51 with 28420 at 1,2
% 11.67/3.31 Id : 35261, {_}: multiply (add b c) a =>= additive_identity [] by Demod 35260 with 28533 at 2,1,2
% 11.67/3.31 Id : 35473, {_}: multiply (add c (add b c)) a =>= add c additive_identity [] by Super 34116 with 35261 at 2,3
% 11.67/3.31 Id : 35476, {_}: multiply (add b (add c c)) a =>= add c additive_identity [] by Demod 35473 with 10172 at 1,2
% 11.67/3.31 Id : 35477, {_}: multiply (add b (add c c)) a =>= c [] by Demod 35476 with 3 at 3
% 11.67/3.31 Id : 35478, {_}: multiply (add b additive_identity) a =>= c [] by Demod 35477 with 14015 at 2,1,2
% 11.67/3.31 Id : 35479, {_}: multiply b a =>= c [] by Demod 35478 with 3 at 1,2
% 11.67/3.31 Id : 35613, {_}: c === c [] by Demod 1 with 35479 at 2
% 11.67/3.31 Id : 1, {_}: multiply b a =>= c [] by prove_commutativity
% 11.67/3.31 % SZS output end CNFRefutation for theBenchmark.p
% 11.67/3.31 8056: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.977623 using nrkbo
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