TSTP Solution File: BOO014-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.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 23:44:13 EDT 2022
% Result : Unsatisfiable 7.97s 2.31s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 17:05:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 22519: Facts:
% 0.13/0.33 22519: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.33 22519: Id : 3, {_}:
% 0.13/0.33 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.13/0.33 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.13/0.33 22519: Id : 4, {_}:
% 0.13/0.33 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.13/0.33 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.13/0.33 22519: Id : 5, {_}:
% 0.13/0.33 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.13/0.33 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.13/0.33 22519: Id : 6, {_}:
% 0.13/0.33 multiply (add ?16 ?17) ?18
% 0.13/0.33 =<=
% 0.13/0.33 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.13/0.33 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.13/0.33 22519: Id : 7, {_}:
% 0.13/0.33 multiply ?20 (add ?21 ?22)
% 0.13/0.33 =<=
% 0.13/0.33 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.13/0.33 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.13/0.33 22519: Id : 8, {_}:
% 0.13/0.33 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.13/0.33 [24] by additive_inverse1 ?24
% 0.13/0.33 22519: Id : 9, {_}:
% 0.13/0.33 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.13/0.33 [26] by additive_inverse2 ?26
% 0.13/0.33 22519: Id : 10, {_}:
% 0.13/0.33 multiply ?28 (inverse ?28) =>= additive_identity
% 0.13/0.33 [28] by multiplicative_inverse1 ?28
% 0.13/0.33 22519: Id : 11, {_}:
% 0.13/0.33 multiply (inverse ?30) ?30 =>= additive_identity
% 0.13/0.33 [30] by multiplicative_inverse2 ?30
% 0.13/0.33 22519: Id : 12, {_}:
% 0.13/0.33 multiply ?32 multiplicative_identity =>= ?32
% 0.13/0.33 [32] by multiplicative_id1 ?32
% 0.13/0.33 22519: Id : 13, {_}:
% 0.13/0.33 multiply multiplicative_identity ?34 =>= ?34
% 0.13/0.33 [34] by multiplicative_id2 ?34
% 0.13/0.33 22519: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.13/0.33 22519: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.13/0.33 22519: Id : 16, {_}: add a b =>= c [] by a_plus_b_is_c
% 0.13/0.33 22519: Id : 17, {_}:
% 0.13/0.33 multiply (inverse a) (inverse b) =>= d
% 0.13/0.33 [] by a_inverse_times_b_inverse_is_d
% 0.13/0.33 22519: Goal:
% 0.13/0.33 22519: Id : 1, {_}: inverse c =>= d [] by prove_c_inverse_is_d
% 7.97/2.31 Statistics :
% 7.97/2.31 Max weight : 17
% 7.97/2.31 Found proof, 1.976893s
% 7.97/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/2.31 % SZS output start CNFRefutation for theBenchmark.p
% 7.97/2.31 Id : 64, {_}: multiply (add ?186 ?187) ?188 =<= add (multiply ?186 ?188) (multiply ?187 ?188) [188, 187, 186] by distributivity3 ?186 ?187 ?188
% 7.97/2.31 Id : 16, {_}: add a b =>= c [] by a_plus_b_is_c
% 7.97/2.31 Id : 8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
% 7.97/2.31 Id : 9, {_}: add (inverse ?26) ?26 =>= multiplicative_identity [26] by additive_inverse2 ?26
% 7.97/2.31 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 7.97/2.31 Id : 4, {_}: add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 7.97/2.31 Id : 11, {_}: multiply (inverse ?30) ?30 =>= additive_identity [30] by multiplicative_inverse2 ?30
% 7.97/2.31 Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 7.97/2.31 Id : 10, {_}: multiply ?28 (inverse ?28) =>= additive_identity [28] by multiplicative_inverse1 ?28
% 7.97/2.31 Id : 12, {_}: multiply ?32 multiplicative_identity =>= ?32 [32] by multiplicative_id1 ?32
% 7.97/2.31 Id : 7, {_}: multiply ?20 (add ?21 ?22) =<= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 7.97/2.31 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 7.97/2.31 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 7.97/2.31 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 7.97/2.31 Id : 17, {_}: multiply (inverse a) (inverse b) =>= d [] by a_inverse_times_b_inverse_is_d
% 7.97/2.31 Id : 6, {_}: multiply (add ?16 ?17) ?18 =<= add (multiply ?16 ?18) (multiply ?17 ?18) [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 7.97/2.31 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 7.97/2.31 Id : 30, {_}: add (multiply ?80 ?81) ?82 =<= multiply (add ?80 ?82) (add ?81 ?82) [82, 81, 80] by distributivity1 ?80 ?81 ?82
% 7.97/2.31 Id : 31, {_}: add (multiply ?84 ?85) ?86 =<= multiply (add ?84 ?86) (add ?86 ?85) [86, 85, 84] by Super 30 with 2 at 2,3
% 7.97/2.31 Id : 262, {_}: multiply (inverse b) (inverse a) =>= d [] by Demod 17 with 3 at 2
% 7.97/2.31 Id : 267, {_}: multiply (add (inverse b) ?542) (inverse a) =>= add d (multiply ?542 (inverse a)) [542] by Super 6 with 262 at 1,3
% 7.97/2.31 Id : 266, {_}: multiply (add ?540 (inverse b)) (inverse a) =>= add (multiply ?540 (inverse a)) d [540] by Super 6 with 262 at 2,3
% 7.97/2.31 Id : 270, {_}: multiply (add ?540 (inverse b)) (inverse a) =>= add d (multiply ?540 (inverse a)) [540] by Demod 266 with 2 at 3
% 7.97/2.31 Id : 193, {_}: multiply (add multiplicative_identity ?455) ?456 =<= add ?456 (multiply ?455 ?456) [456, 455] by Super 6 with 13 at 1,3
% 7.97/2.31 Id : 851, {_}: multiply ?1439 (add ?1440 multiplicative_identity) =<= add (multiply ?1439 ?1440) ?1439 [1440, 1439] by Super 7 with 12 at 2,3
% 7.97/2.31 Id : 853, {_}: multiply ?1445 (add (inverse ?1445) multiplicative_identity) =>= add additive_identity ?1445 [1445] by Super 851 with 10 at 1,3
% 7.97/2.31 Id : 885, {_}: multiply ?1445 (add multiplicative_identity (inverse ?1445)) =>= add additive_identity ?1445 [1445] by Demod 853 with 2 at 2,2
% 7.97/2.31 Id : 886, {_}: multiply ?1445 (add multiplicative_identity (inverse ?1445)) =>= ?1445 [1445] by Demod 885 with 15 at 3
% 7.97/2.31 Id : 5486, {_}: multiply (add multiplicative_identity ?6576) (add multiplicative_identity (inverse ?6576)) =>= add (add multiplicative_identity (inverse ?6576)) ?6576 [6576] by Super 193 with 886 at 2,3
% 7.97/2.31 Id : 5501, {_}: add multiplicative_identity (multiply ?6576 (inverse ?6576)) =<= add (add multiplicative_identity (inverse ?6576)) ?6576 [6576] by Demod 5486 with 5 at 2
% 7.97/2.31 Id : 5502, {_}: add multiplicative_identity additive_identity =<= add (add multiplicative_identity (inverse ?6576)) ?6576 [6576] by Demod 5501 with 10 at 2,2
% 7.97/2.31 Id : 5503, {_}: add additive_identity multiplicative_identity =<= add (add multiplicative_identity (inverse ?6576)) ?6576 [6576] by Demod 5502 with 2 at 2
% 7.97/2.31 Id : 5504, {_}: multiplicative_identity =<= add (add multiplicative_identity (inverse ?6576)) ?6576 [6576] by Demod 5503 with 15 at 2
% 7.97/2.31 Id : 1554, {_}: multiply ?2186 (add multiplicative_identity ?2187) =<= add ?2186 (multiply ?2186 ?2187) [2187, 2186] by Super 7 with 12 at 1,3
% 7.97/2.31 Id : 1557, {_}: multiply (inverse ?2194) (add multiplicative_identity ?2194) =>= add (inverse ?2194) additive_identity [2194] by Super 1554 with 11 at 2,3
% 7.97/2.31 Id : 1621, {_}: multiply (add multiplicative_identity ?2194) (inverse ?2194) =>= add (inverse ?2194) additive_identity [2194] by Demod 1557 with 3 at 2
% 7.97/2.31 Id : 1622, {_}: multiply (add multiplicative_identity ?2194) (inverse ?2194) =>= add additive_identity (inverse ?2194) [2194] by Demod 1621 with 2 at 3
% 7.97/2.31 Id : 1623, {_}: multiply (add multiplicative_identity ?2194) (inverse ?2194) =>= inverse ?2194 [2194] by Demod 1622 with 15 at 3
% 7.97/2.31 Id : 63, {_}: add (multiply ?181 ?182) (multiply (multiply ?183 ?182) ?184) =<= multiply (multiply (add ?181 ?183) ?182) (add (multiply ?181 ?182) ?184) [184, 183, 182, 181] by Super 5 with 6 at 1,3
% 7.97/2.31 Id : 8712, {_}: add (multiply multiplicative_identity (inverse ?9570)) (multiply (multiply ?9570 (inverse ?9570)) ?9571) =>= multiply (inverse ?9570) (add (multiply multiplicative_identity (inverse ?9570)) ?9571) [9571, 9570] by Super 63 with 1623 at 1,3
% 7.97/2.31 Id : 8781, {_}: add (inverse ?9570) (multiply (multiply ?9570 (inverse ?9570)) ?9571) =>= multiply (inverse ?9570) (add (multiply multiplicative_identity (inverse ?9570)) ?9571) [9571, 9570] by Demod 8712 with 13 at 1,2
% 7.97/2.31 Id : 8782, {_}: add (inverse ?9570) (multiply additive_identity ?9571) =<= multiply (inverse ?9570) (add (multiply multiplicative_identity (inverse ?9570)) ?9571) [9571, 9570] by Demod 8781 with 10 at 1,2,2
% 7.97/2.31 Id : 8783, {_}: add (inverse ?9570) (multiply additive_identity ?9571) =<= multiply (add (multiply multiplicative_identity (inverse ?9570)) ?9571) (inverse ?9570) [9571, 9570] by Demod 8782 with 3 at 3
% 7.97/2.31 Id : 8784, {_}: add (multiply additive_identity ?9571) (inverse ?9570) =<= multiply (add (multiply multiplicative_identity (inverse ?9570)) ?9571) (inverse ?9570) [9570, 9571] by Demod 8783 with 2 at 2
% 7.97/2.31 Id : 8785, {_}: add (multiply additive_identity ?9571) (inverse ?9570) =<= multiply (add (inverse ?9570) ?9571) (inverse ?9570) [9570, 9571] by Demod 8784 with 13 at 1,1,3
% 7.97/2.31 Id : 44, {_}: add (multiply ?120 ?120) ?121 =?= add ?120 (multiply ?121 ?121) [121, 120] by Super 4 with 5 at 3
% 7.97/2.31 Id : 1077, {_}: add (multiply additive_identity additive_identity) ?1684 =?= multiply ?1684 ?1684 [1684] by Super 15 with 44 at 2
% 7.97/2.31 Id : 176, {_}: multiply ?426 (add ?427 multiplicative_identity) =<= add (multiply ?426 ?427) ?426 [427, 426] by Super 7 with 12 at 2,3
% 7.97/2.31 Id : 916, {_}: multiply additive_identity (add ?1524 multiplicative_identity) =>= multiply additive_identity ?1524 [1524] by Super 14 with 176 at 2
% 7.97/2.31 Id : 918, {_}: multiply additive_identity multiplicative_identity =<= multiply additive_identity (inverse multiplicative_identity) [] by Super 916 with 9 at 2,2
% 7.97/2.31 Id : 937, {_}: additive_identity =<= multiply additive_identity (inverse multiplicative_identity) [] by Demod 918 with 12 at 2
% 7.97/2.31 Id : 178, {_}: inverse multiplicative_identity =>= additive_identity [] by Super 11 with 12 at 2
% 7.97/2.31 Id : 938, {_}: additive_identity =<= multiply additive_identity additive_identity [] by Demod 937 with 178 at 2,3
% 7.97/2.31 Id : 1127, {_}: add additive_identity ?1684 =?= multiply ?1684 ?1684 [1684] by Demod 1077 with 938 at 1,2
% 7.97/2.31 Id : 1128, {_}: ?1684 =<= multiply ?1684 ?1684 [1684] by Demod 1127 with 15 at 2
% 7.97/2.31 Id : 1193, {_}: multiply (add ?1851 ?1852) ?1851 =<= add ?1851 (multiply ?1852 ?1851) [1852, 1851] by Super 6 with 1128 at 1,3
% 7.97/2.31 Id : 8341, {_}: multiply (add ?1851 ?1852) ?1851 =?= multiply (add multiplicative_identity ?1852) ?1851 [1852, 1851] by Demod 1193 with 193 at 3
% 7.97/2.31 Id : 18043, {_}: add (multiply additive_identity ?16764) (inverse ?16765) =>= multiply (add multiplicative_identity ?16764) (inverse ?16765) [16765, 16764] by Demod 8785 with 8341 at 3
% 7.97/2.31 Id : 216, {_}: inverse additive_identity =>= multiplicative_identity [] by Super 9 with 14 at 2
% 7.97/2.31 Id : 18045, {_}: add (multiply additive_identity ?16769) multiplicative_identity =<= multiply (add multiplicative_identity ?16769) (inverse additive_identity) [16769] by Super 18043 with 216 at 2,2
% 7.97/2.31 Id : 18095, {_}: add multiplicative_identity (multiply additive_identity ?16769) =<= multiply (add multiplicative_identity ?16769) (inverse additive_identity) [16769] by Demod 18045 with 2 at 2
% 7.97/2.31 Id : 18096, {_}: add multiplicative_identity (multiply additive_identity ?16769) =>= multiply (add multiplicative_identity ?16769) multiplicative_identity [16769] by Demod 18095 with 216 at 2,3
% 7.97/2.31 Id : 18097, {_}: add multiplicative_identity (multiply additive_identity ?16769) =>= multiply multiplicative_identity (add multiplicative_identity ?16769) [16769] by Demod 18096 with 3 at 3
% 7.97/2.31 Id : 18172, {_}: add multiplicative_identity (multiply additive_identity ?16907) =>= add multiplicative_identity ?16907 [16907] by Demod 18097 with 13 at 3
% 7.97/2.31 Id : 1189, {_}: multiply ?1839 (add ?1839 ?1840) =<= add ?1839 (multiply ?1839 ?1840) [1840, 1839] by Super 7 with 1128 at 1,3
% 7.97/2.31 Id : 177, {_}: multiply ?429 (add multiplicative_identity ?430) =<= add ?429 (multiply ?429 ?430) [430, 429] by Super 7 with 12 at 1,3
% 7.97/2.31 Id : 5952, {_}: multiply ?1839 (add ?1839 ?1840) =?= multiply ?1839 (add multiplicative_identity ?1840) [1840, 1839] by Demod 1189 with 177 at 3
% 7.97/2.31 Id : 18190, {_}: add multiplicative_identity (multiply additive_identity (add additive_identity ?16931)) =>= add multiplicative_identity (add multiplicative_identity ?16931) [16931] by Super 18172 with 5952 at 2,2
% 7.97/2.31 Id : 18098, {_}: add multiplicative_identity (multiply additive_identity ?16769) =>= add multiplicative_identity ?16769 [16769] by Demod 18097 with 13 at 3
% 7.97/2.31 Id : 18277, {_}: add multiplicative_identity (add additive_identity ?16931) =<= add multiplicative_identity (add multiplicative_identity ?16931) [16931] by Demod 18190 with 18098 at 2
% 7.97/2.31 Id : 18278, {_}: add multiplicative_identity ?16931 =<= add multiplicative_identity (add multiplicative_identity ?16931) [16931] by Demod 18277 with 15 at 2,2
% 7.97/2.31 Id : 18592, {_}: multiply (add multiplicative_identity ?17215) (inverse (add multiplicative_identity ?17215)) =>= inverse (add multiplicative_identity ?17215) [17215] by Super 1623 with 18278 at 1,2
% 7.97/2.31 Id : 18629, {_}: additive_identity =<= inverse (add multiplicative_identity ?17215) [17215] by Demod 18592 with 10 at 2
% 7.97/2.31 Id : 18727, {_}: multiplicative_identity =<= add (add multiplicative_identity additive_identity) (add multiplicative_identity ?17290) [17290] by Super 5504 with 18629 at 2,1,3
% 7.97/2.31 Id : 18758, {_}: multiplicative_identity =<= add (add additive_identity multiplicative_identity) (add multiplicative_identity ?17290) [17290] by Demod 18727 with 2 at 1,3
% 7.97/2.31 Id : 18759, {_}: multiplicative_identity =<= add multiplicative_identity (add multiplicative_identity ?17290) [17290] by Demod 18758 with 15 at 1,3
% 7.97/2.31 Id : 18760, {_}: multiplicative_identity =<= add multiplicative_identity ?17290 [17290] by Demod 18759 with 18278 at 3
% 7.97/2.31 Id : 19239, {_}: multiply multiplicative_identity (inverse a) =<= add d (multiply multiplicative_identity (inverse a)) [] by Super 270 with 18760 at 1,2
% 7.97/2.31 Id : 19285, {_}: inverse a =<= add d (multiply multiplicative_identity (inverse a)) [] by Demod 19239 with 13 at 2
% 7.97/2.31 Id : 19286, {_}: inverse a =<= add d (inverse a) [] by Demod 19285 with 13 at 2,3
% 7.97/2.31 Id : 19355, {_}: add d (multiply ?17441 (inverse a)) =>= multiply (add d ?17441) (inverse a) [17441] by Super 5 with 19286 at 2,3
% 7.97/2.31 Id : 19910, {_}: multiply (add (inverse b) ?542) (inverse a) =>= multiply (add d ?542) (inverse a) [542] by Demod 267 with 19355 at 3
% 7.97/2.31 Id : 33, {_}: add (multiply ?92 ?93) ?94 =<= multiply (add ?94 ?92) (add ?93 ?94) [94, 93, 92] by Super 30 with 2 at 1,3
% 7.97/2.31 Id : 113, {_}: add (multiply ?327 ?328) (inverse ?327) =>= multiply multiplicative_identity (add ?328 (inverse ?327)) [328, 327] by Super 4 with 8 at 1,3
% 7.97/2.31 Id : 23956, {_}: add (multiply ?22477 ?22478) (inverse ?22477) =>= add ?22478 (inverse ?22477) [22478, 22477] by Demod 113 with 13 at 3
% 7.97/2.31 Id : 248, {_}: add b a =>= c [] by Demod 16 with 2 at 2
% 7.97/2.31 Id : 249, {_}: add b (multiply ?524 a) =>= multiply (add b ?524) c [524] by Super 5 with 248 at 2,3
% 7.97/2.31 Id : 261, {_}: add b (multiply ?524 a) =>= multiply c (add b ?524) [524] by Demod 249 with 3 at 3
% 7.97/2.31 Id : 1550, {_}: multiply b (add multiplicative_identity a) =<= multiply c (add b b) [] by Super 261 with 177 at 2
% 7.97/2.31 Id : 1605, {_}: multiply b (add a multiplicative_identity) =<= multiply c (add b b) [] by Demod 1550 with 2 at 2,2
% 7.97/2.31 Id : 854, {_}: multiply (inverse ?1447) (add ?1447 multiplicative_identity) =>= add additive_identity (inverse ?1447) [1447] by Super 851 with 11 at 1,3
% 7.97/2.31 Id : 887, {_}: multiply (add ?1447 multiplicative_identity) (inverse ?1447) =>= add additive_identity (inverse ?1447) [1447] by Demod 854 with 3 at 2
% 7.97/2.31 Id : 888, {_}: multiply (add ?1447 multiplicative_identity) (inverse ?1447) =>= inverse ?1447 [1447] by Demod 887 with 15 at 3
% 7.97/2.31 Id : 1192, {_}: multiply (add ?1848 ?1849) ?1849 =<= add (multiply ?1848 ?1849) ?1849 [1849, 1848] by Super 6 with 1128 at 2,3
% 7.97/2.31 Id : 192, {_}: multiply (add ?452 multiplicative_identity) ?453 =<= add (multiply ?452 ?453) ?453 [453, 452] by Super 6 with 13 at 2,3
% 7.97/2.31 Id : 6549, {_}: multiply (add ?7619 ?7620) ?7620 =?= multiply (add ?7619 multiplicative_identity) ?7620 [7620, 7619] by Demod 1192 with 192 at 3
% 7.97/2.31 Id : 6588, {_}: multiply (add ?7723 (add ?7723 multiplicative_identity)) (add ?7723 multiplicative_identity) =>= add ?7723 multiplicative_identity [7723] by Super 6549 with 1128 at 2
% 7.97/2.31 Id : 6749, {_}: multiply (add ?7723 multiplicative_identity) (add ?7723 (add ?7723 multiplicative_identity)) =>= add ?7723 multiplicative_identity [7723] by Demod 6588 with 3 at 2
% 7.97/2.31 Id : 6750, {_}: add ?7723 (multiply multiplicative_identity (add ?7723 multiplicative_identity)) =>= add ?7723 multiplicative_identity [7723] by Demod 6749 with 5 at 2
% 7.97/2.31 Id : 6751, {_}: add ?7723 (add ?7723 multiplicative_identity) =>= add ?7723 multiplicative_identity [7723] by Demod 6750 with 13 at 2,2
% 7.97/2.31 Id : 6770, {_}: add (add ?7752 multiplicative_identity) ?7752 =>= add ?7752 multiplicative_identity [7752] by Super 2 with 6751 at 3
% 7.97/2.31 Id : 7393, {_}: multiply (add multiplicative_identity multiplicative_identity) (inverse (add multiplicative_identity multiplicative_identity)) =>= inverse (add multiplicative_identity multiplicative_identity) [] by Super 888 with 6770 at 1,2
% 7.97/2.31 Id : 7528, {_}: additive_identity =<= inverse (add multiplicative_identity multiplicative_identity) [] by Demod 7393 with 10 at 2
% 7.97/2.31 Id : 7575, {_}: add (add multiplicative_identity multiplicative_identity) additive_identity =>= multiplicative_identity [] by Super 8 with 7528 at 2,2
% 7.97/2.31 Id : 7588, {_}: add additive_identity (add multiplicative_identity multiplicative_identity) =>= multiplicative_identity [] by Demod 7575 with 2 at 2
% 7.97/2.31 Id : 7589, {_}: add multiplicative_identity multiplicative_identity =>= multiplicative_identity [] by Demod 7588 with 15 at 2
% 7.97/2.31 Id : 7628, {_}: multiply ?8837 (add ?8837 multiplicative_identity) =>= multiply ?8837 multiplicative_identity [8837] by Super 5952 with 7589 at 2,3
% 7.97/2.31 Id : 1181, {_}: multiply ?1826 (add ?1826 multiplicative_identity) =>= add ?1826 ?1826 [1826] by Super 176 with 1128 at 1,3
% 7.97/2.31 Id : 7711, {_}: add ?8837 ?8837 =>= multiply ?8837 multiplicative_identity [8837] by Demod 7628 with 1181 at 2
% 7.97/2.31 Id : 7712, {_}: add ?8837 ?8837 =>= ?8837 [8837] by Demod 7711 with 12 at 3
% 7.97/2.31 Id : 7736, {_}: multiply b (add a multiplicative_identity) =>= multiply c b [] by Demod 1605 with 7712 at 2,3
% 7.97/2.31 Id : 7746, {_}: multiply b (add a multiplicative_identity) =>= multiply b c [] by Demod 7736 with 3 at 3
% 7.97/2.31 Id : 7427, {_}: add (add ?8790 multiplicative_identity) ?8790 =>= add ?8790 multiplicative_identity [8790] by Super 2 with 6751 at 3
% 7.97/2.31 Id : 7428, {_}: add (add multiplicative_identity ?8792) ?8792 =>= add ?8792 multiplicative_identity [8792] by Super 7427 with 2 at 1,2
% 7.97/2.31 Id : 18876, {_}: add multiplicative_identity ?8792 =?= add ?8792 multiplicative_identity [8792] by Demod 7428 with 18760 at 1,2
% 7.97/2.31 Id : 18877, {_}: multiplicative_identity =<= add ?8792 multiplicative_identity [8792] by Demod 18876 with 18760 at 2
% 7.97/2.31 Id : 18936, {_}: multiply b multiplicative_identity =<= multiply b c [] by Demod 7746 with 18877 at 2,2
% 7.97/2.31 Id : 19038, {_}: b =<= multiply b c [] by Demod 18936 with 12 at 2
% 7.97/2.31 Id : 24007, {_}: add b (inverse b) =<= add c (inverse b) [] by Super 23956 with 19038 at 1,2
% 7.97/2.31 Id : 24093, {_}: multiplicative_identity =<= add c (inverse b) [] by Demod 24007 with 8 at 2
% 7.97/2.31 Id : 24190, {_}: add (multiply ?22701 c) (inverse b) =>= multiply (add (inverse b) ?22701) multiplicative_identity [22701] by Super 33 with 24093 at 2,3
% 7.97/2.31 Id : 24222, {_}: add (multiply ?22701 c) (inverse b) =>= multiply multiplicative_identity (add (inverse b) ?22701) [22701] by Demod 24190 with 3 at 3
% 7.97/2.31 Id : 26894, {_}: add (multiply ?25060 c) (inverse b) =>= add (inverse b) ?25060 [25060] by Demod 24222 with 13 at 3
% 7.97/2.31 Id : 26896, {_}: add additive_identity (inverse b) =<= add (inverse b) (inverse c) [] by Super 26894 with 11 at 1,2
% 7.97/2.31 Id : 26944, {_}: inverse b =<= add (inverse b) (inverse c) [] by Demod 26896 with 15 at 2
% 7.97/2.31 Id : 26976, {_}: multiply (inverse b) (inverse a) =<= multiply (add d (inverse c)) (inverse a) [] by Super 19910 with 26944 at 1,2
% 7.97/2.31 Id : 27019, {_}: d =<= multiply (add d (inverse c)) (inverse a) [] by Demod 26976 with 262 at 2
% 7.97/2.31 Id : 19356, {_}: add d (multiply (inverse a) ?17443) =>= multiply (inverse a) (add d ?17443) [17443] by Super 5 with 19286 at 1,3
% 7.97/2.31 Id : 19378, {_}: add d (multiply (inverse a) ?17443) =>= multiply (add d ?17443) (inverse a) [17443] by Demod 19356 with 3 at 3
% 7.97/2.31 Id : 6495, {_}: multiply (add ?1848 ?1849) ?1849 =?= multiply (add ?1848 multiplicative_identity) ?1849 [1849, 1848] by Demod 1192 with 192 at 3
% 7.97/2.31 Id : 18958, {_}: multiply (add ?1848 ?1849) ?1849 =>= multiply multiplicative_identity ?1849 [1849, 1848] by Demod 6495 with 18877 at 1,3
% 7.97/2.31 Id : 18993, {_}: multiply (add ?1848 ?1849) ?1849 =>= ?1849 [1849, 1848] by Demod 18958 with 13 at 3
% 7.97/2.31 Id : 252, {_}: add (multiply ?529 b) a =>= multiply (add ?529 a) c [529] by Super 4 with 248 at 2,3
% 7.97/2.31 Id : 256, {_}: add a (multiply ?529 b) =>= multiply (add ?529 a) c [529] by Demod 252 with 2 at 2
% 7.97/2.31 Id : 257, {_}: add a (multiply ?529 b) =>= multiply c (add ?529 a) [529] by Demod 256 with 3 at 3
% 7.97/2.31 Id : 1547, {_}: multiply a (add multiplicative_identity b) =<= multiply c (add a a) [] by Super 257 with 177 at 2
% 7.97/2.31 Id : 1607, {_}: multiply a (add b multiplicative_identity) =<= multiply c (add a a) [] by Demod 1547 with 2 at 2,2
% 7.97/2.31 Id : 7735, {_}: multiply a (add b multiplicative_identity) =>= multiply c a [] by Demod 1607 with 7712 at 2,3
% 7.97/2.31 Id : 7747, {_}: multiply a (add b multiplicative_identity) =>= multiply a c [] by Demod 7735 with 3 at 3
% 7.97/2.31 Id : 18960, {_}: multiply a multiplicative_identity =<= multiply a c [] by Demod 7747 with 18877 at 2,2
% 7.97/2.31 Id : 18967, {_}: a =<= multiply a c [] by Demod 18960 with 12 at 2
% 7.97/2.31 Id : 24005, {_}: add a (inverse a) =<= add c (inverse a) [] by Super 23956 with 18967 at 1,2
% 7.97/2.31 Id : 24089, {_}: multiplicative_identity =<= add c (inverse a) [] by Demod 24005 with 8 at 2
% 7.97/2.31 Id : 24116, {_}: add (multiply ?22660 c) (inverse a) =>= multiply (add ?22660 (inverse a)) multiplicative_identity [22660] by Super 4 with 24089 at 2,3
% 7.97/2.31 Id : 24146, {_}: add (multiply ?22660 c) (inverse a) =>= multiply multiplicative_identity (add ?22660 (inverse a)) [22660] by Demod 24116 with 3 at 3
% 7.97/2.31 Id : 26104, {_}: add (multiply ?24339 c) (inverse a) =>= add ?24339 (inverse a) [24339] by Demod 24146 with 13 at 3
% 7.97/2.31 Id : 26106, {_}: add additive_identity (inverse a) =<= add (inverse c) (inverse a) [] by Super 26104 with 11 at 1,2
% 7.97/2.31 Id : 26150, {_}: inverse a =<= add (inverse c) (inverse a) [] by Demod 26106 with 15 at 2
% 7.97/2.31 Id : 26151, {_}: inverse a =<= add (inverse a) (inverse c) [] by Demod 26150 with 2 at 3
% 7.97/2.31 Id : 26167, {_}: multiply (inverse a) (inverse c) =>= inverse c [] by Super 18993 with 26151 at 1,2
% 7.97/2.31 Id : 26215, {_}: add d (inverse c) =<= multiply (add d (inverse c)) (inverse a) [] by Super 19378 with 26167 at 2,2
% 7.97/2.31 Id : 30557, {_}: d =<= add d (inverse c) [] by Demod 27019 with 26215 at 3
% 7.97/2.31 Id : 30576, {_}: add (multiply d ?28630) (inverse c) =>= multiply d (add (inverse c) ?28630) [28630] by Super 31 with 30557 at 1,3
% 7.97/2.31 Id : 59, {_}: add (multiply (multiply ?163 ?164) ?165) (multiply ?166 ?164) =<= multiply (multiply (add ?163 ?166) ?164) (add ?165 (multiply ?166 ?164)) [166, 165, 164, 163] by Super 4 with 6 at 1,3
% 7.97/2.31 Id : 264, {_}: multiply (inverse b) (add (inverse a) ?537) =>= add d (multiply (inverse b) ?537) [537] by Super 7 with 262 at 1,3
% 7.97/2.31 Id : 275, {_}: multiply (add (inverse a) ?537) (inverse b) =>= add d (multiply (inverse b) ?537) [537] by Demod 264 with 3 at 2
% 7.97/2.31 Id : 263, {_}: multiply (inverse b) (add ?535 (inverse a)) =>= add (multiply (inverse b) ?535) d [535] by Super 7 with 262 at 2,3
% 7.97/2.31 Id : 273, {_}: multiply (add ?535 (inverse a)) (inverse b) =>= add (multiply (inverse b) ?535) d [535] by Demod 263 with 3 at 2
% 7.97/2.31 Id : 274, {_}: multiply (add ?535 (inverse a)) (inverse b) =>= add d (multiply (inverse b) ?535) [535] by Demod 273 with 2 at 3
% 7.97/2.31 Id : 19221, {_}: multiply multiplicative_identity (inverse b) =<= add d (multiply (inverse b) multiplicative_identity) [] by Super 274 with 18760 at 1,2
% 7.97/2.31 Id : 19330, {_}: inverse b =<= add d (multiply (inverse b) multiplicative_identity) [] by Demod 19221 with 13 at 2
% 7.97/2.31 Id : 42, {_}: multiply (add ?112 ?113) (add ?112 ?114) =>= add ?112 (multiply ?114 ?113) [114, 113, 112] by Super 3 with 5 at 3
% 7.97/2.31 Id : 54, {_}: add ?112 (multiply ?113 ?114) =?= add ?112 (multiply ?114 ?113) [114, 113, 112] by Demod 42 with 5 at 2
% 7.97/2.31 Id : 19331, {_}: inverse b =<= add d (multiply multiplicative_identity (inverse b)) [] by Demod 19330 with 54 at 3
% 7.97/2.31 Id : 19332, {_}: inverse b =<= add d (inverse b) [] by Demod 19331 with 13 at 2,3
% 7.97/2.31 Id : 19786, {_}: add d (multiply (inverse b) ?18202) =>= multiply (inverse b) (add d ?18202) [18202] by Super 5 with 19332 at 1,3
% 7.97/2.31 Id : 19806, {_}: add d (multiply (inverse b) ?18202) =>= multiply (add d ?18202) (inverse b) [18202] by Demod 19786 with 3 at 3
% 7.97/2.31 Id : 21042, {_}: multiply (add (inverse a) ?537) (inverse b) =>= multiply (add d ?537) (inverse b) [537] by Demod 275 with 19806 at 3
% 7.97/2.31 Id : 26164, {_}: multiply (inverse a) (inverse b) =<= multiply (add d (inverse c)) (inverse b) [] by Super 21042 with 26151 at 1,2
% 7.97/2.31 Id : 26212, {_}: multiply (inverse b) (inverse a) =<= multiply (add d (inverse c)) (inverse b) [] by Demod 26164 with 3 at 2
% 7.97/2.31 Id : 26213, {_}: d =<= multiply (add d (inverse c)) (inverse b) [] by Demod 26212 with 262 at 2
% 7.97/2.31 Id : 29390, {_}: add (multiply (multiply d (inverse b)) ?27746) (multiply (inverse c) (inverse b)) =>= multiply d (add ?27746 (multiply (inverse c) (inverse b))) [27746] by Super 59 with 26213 at 1,3
% 7.97/2.31 Id : 29411, {_}: add (multiply (multiply d (inverse b)) ?27746) (multiply (inverse b) (inverse c)) =>= multiply d (add ?27746 (multiply (inverse c) (inverse b))) [27746] by Demod 29390 with 54 at 2
% 7.97/2.31 Id : 29412, {_}: add (multiply (multiply d (inverse b)) ?27746) (multiply (inverse b) (inverse c)) =>= multiply d (add ?27746 (multiply (inverse b) (inverse c))) [27746] by Demod 29411 with 54 at 2,3
% 7.97/2.31 Id : 18853, {_}: multiply ?1839 (add ?1839 ?1840) =>= multiply ?1839 multiplicative_identity [1840, 1839] by Demod 5952 with 18760 at 2,3
% 7.97/2.31 Id : 19117, {_}: multiply ?1839 (add ?1839 ?1840) =>= ?1839 [1840, 1839] by Demod 18853 with 12 at 3
% 7.97/2.31 Id : 19793, {_}: multiply d (inverse b) =>= d [] by Super 19117 with 19332 at 2,2
% 7.97/2.31 Id : 29413, {_}: add (multiply d ?27746) (multiply (inverse b) (inverse c)) =>= multiply d (add ?27746 (multiply (inverse b) (inverse c))) [27746] by Demod 29412 with 19793 at 1,1,2
% 7.97/2.31 Id : 26979, {_}: multiply (inverse b) (inverse c) =>= inverse c [] by Super 18993 with 26944 at 1,2
% 7.97/2.32 Id : 29414, {_}: add (multiply d ?27746) (inverse c) =<= multiply d (add ?27746 (multiply (inverse b) (inverse c))) [27746] by Demod 29413 with 26979 at 2,2
% 7.97/2.32 Id : 29415, {_}: add (multiply d ?27746) (inverse c) =>= multiply d (add ?27746 (inverse c)) [27746] by Demod 29414 with 26979 at 2,2,3
% 7.97/2.32 Id : 32180, {_}: multiply d (add ?28630 (inverse c)) =?= multiply d (add (inverse c) ?28630) [28630] by Demod 30576 with 29415 at 2
% 7.97/2.32 Id : 67, {_}: multiply (add ?198 (add ?199 ?200)) (add ?201 ?200) =<= add (multiply ?198 (add ?201 ?200)) (add (multiply ?199 ?201) ?200) [201, 200, 199, 198] by Super 64 with 4 at 2,3
% 7.97/2.32 Id : 19364, {_}: multiply d (inverse a) =>= d [] by Super 19117 with 19286 at 2,2
% 7.97/2.32 Id : 23975, {_}: add d (inverse d) =<= add (inverse a) (inverse d) [] by Super 23956 with 19364 at 1,2
% 7.97/2.32 Id : 24076, {_}: multiplicative_identity =<= add (inverse a) (inverse d) [] by Demod 23975 with 8 at 2
% 7.97/2.32 Id : 24263, {_}: add (multiply ?22751 (inverse a)) (inverse d) =>= multiply (add ?22751 (inverse d)) multiplicative_identity [22751] by Super 4 with 24076 at 2,3
% 7.97/2.32 Id : 24285, {_}: add (multiply ?22751 (inverse a)) (inverse d) =>= multiply multiplicative_identity (add ?22751 (inverse d)) [22751] by Demod 24263 with 3 at 3
% 7.97/2.32 Id : 36990, {_}: add (multiply ?34729 (inverse a)) (inverse d) =>= add ?34729 (inverse d) [34729] by Demod 24285 with 13 at 3
% 7.97/2.32 Id : 36992, {_}: add additive_identity (inverse d) =>= add a (inverse d) [] by Super 36990 with 10 at 1,2
% 7.97/2.32 Id : 37046, {_}: inverse d =<= add a (inverse d) [] by Demod 36992 with 15 at 2
% 7.97/2.32 Id : 37091, {_}: add (multiply a ?34793) (inverse d) =<= multiply (inverse d) (add (inverse d) ?34793) [34793] by Super 31 with 37046 at 1,3
% 7.97/2.32 Id : 37113, {_}: add (multiply a ?34793) (inverse d) =<= multiply (add (inverse d) ?34793) (inverse d) [34793] by Demod 37091 with 3 at 3
% 7.97/2.32 Id : 18878, {_}: multiply (add ?1851 ?1852) ?1851 =>= multiply multiplicative_identity ?1851 [1852, 1851] by Demod 8341 with 18760 at 1,3
% 7.97/2.32 Id : 18927, {_}: multiply (add ?1851 ?1852) ?1851 =>= ?1851 [1852, 1851] by Demod 18878 with 13 at 3
% 7.97/2.32 Id : 38044, {_}: add (multiply a ?35701) (inverse d) =>= inverse d [35701] by Demod 37113 with 18927 at 3
% 7.97/2.32 Id : 417, {_}: add a (multiply ?739 b) =>= multiply c (add ?739 a) [739] by Demod 256 with 3 at 3
% 7.97/2.32 Id : 419, {_}: add a additive_identity =<= multiply c (add (inverse b) a) [] by Super 417 with 11 at 2,2
% 7.97/2.32 Id : 429, {_}: a =<= multiply c (add (inverse b) a) [] by Demod 419 with 14 at 2
% 7.97/2.32 Id : 430, {_}: a =<= multiply c (add a (inverse b)) [] by Demod 429 with 2 at 2,3
% 7.97/2.32 Id : 24000, {_}: add a (inverse c) =<= add (add a (inverse b)) (inverse c) [] by Super 23956 with 430 at 1,2
% 7.97/2.32 Id : 24737, {_}: multiply (add a (inverse b)) (add a (inverse c)) =>= add a (inverse b) [] by Super 19117 with 24000 at 2,2
% 7.97/2.32 Id : 24743, {_}: add a (multiply (inverse b) (inverse c)) =>= add a (inverse b) [] by Demod 24737 with 5 at 2
% 7.97/2.32 Id : 28288, {_}: add a (inverse c) =>= add a (inverse b) [] by Demod 24743 with 26979 at 2,2
% 7.97/2.32 Id : 28300, {_}: add a (multiply ?26823 (inverse c)) =<= multiply (add a ?26823) (add a (inverse b)) [26823] by Super 5 with 28288 at 2,3
% 7.97/2.32 Id : 31423, {_}: add a (multiply ?29332 (inverse c)) =>= add a (multiply ?29332 (inverse b)) [29332] by Demod 28300 with 5 at 3
% 7.97/2.32 Id : 31425, {_}: add a additive_identity =<= add a (multiply c (inverse b)) [] by Super 31423 with 10 at 2,2
% 7.97/2.32 Id : 31482, {_}: a =<= add a (multiply c (inverse b)) [] by Demod 31425 with 14 at 2
% 7.97/2.32 Id : 31611, {_}: multiply a (multiply c (inverse b)) =>= multiply c (inverse b) [] by Super 18993 with 31482 at 1,2
% 7.97/2.32 Id : 38051, {_}: add (multiply c (inverse b)) (inverse d) =>= inverse d [] by Super 38044 with 31611 at 1,2
% 7.97/2.32 Id : 39460, {_}: multiply (add ?36903 (add c (inverse d))) (add (inverse b) (inverse d)) =>= add (multiply ?36903 (add (inverse b) (inverse d))) (inverse d) [36903] by Super 67 with 38051 at 2,3
% 7.97/2.32 Id : 23976, {_}: add d (inverse d) =<= add (inverse b) (inverse d) [] by Super 23956 with 19793 at 1,2
% 7.97/2.32 Id : 24077, {_}: multiplicative_identity =<= add (inverse b) (inverse d) [] by Demod 23976 with 8 at 2
% 7.97/2.32 Id : 39500, {_}: multiply (add ?36903 (add c (inverse d))) multiplicative_identity =<= add (multiply ?36903 (add (inverse b) (inverse d))) (inverse d) [36903] by Demod 39460 with 24077 at 2,2
% 7.97/2.32 Id : 39501, {_}: multiply (add ?36903 (add c (inverse d))) multiplicative_identity =>= add (multiply ?36903 multiplicative_identity) (inverse d) [36903] by Demod 39500 with 24077 at 2,1,3
% 7.97/2.32 Id : 39502, {_}: multiply multiplicative_identity (add ?36903 (add c (inverse d))) =>= add (multiply ?36903 multiplicative_identity) (inverse d) [36903] by Demod 39501 with 3 at 2
% 7.97/2.32 Id : 39503, {_}: multiply multiplicative_identity (add ?36903 (add c (inverse d))) =>= add ?36903 (inverse d) [36903] by Demod 39502 with 12 at 1,3
% 7.97/2.32 Id : 39504, {_}: add ?36903 (add c (inverse d)) =>= add ?36903 (inverse d) [36903] by Demod 39503 with 13 at 2
% 7.97/2.32 Id : 40016, {_}: multiply d (add (add c (inverse d)) (inverse c)) =>= multiply d (add (inverse c) (inverse d)) [] by Super 32180 with 39504 at 2,3
% 7.97/2.32 Id : 384, {_}: add b (multiply a ?698) =>= multiply c (add b ?698) [698] by Super 5 with 248 at 1,3
% 7.97/2.32 Id : 387, {_}: add b a =<= multiply c (add b multiplicative_identity) [] by Super 384 with 12 at 2,2
% 7.97/2.32 Id : 397, {_}: c =<= multiply c (add b multiplicative_identity) [] by Demod 387 with 248 at 2
% 7.97/2.32 Id : 398, {_}: multiply (add ?708 c) (add b multiplicative_identity) =<= add (multiply ?708 (add b multiplicative_identity)) c [708] by Super 6 with 397 at 2,3
% 7.97/2.32 Id : 3259, {_}: multiply (add ?4204 c) (add b multiplicative_identity) =<= add c (multiply ?4204 (add b multiplicative_identity)) [4204] by Demod 398 with 2 at 3
% 7.97/2.32 Id : 848, {_}: multiply additive_identity (add ?1431 multiplicative_identity) =>= multiply additive_identity ?1431 [1431] by Super 14 with 176 at 2
% 7.97/2.32 Id : 3263, {_}: multiply (add additive_identity c) (add b multiplicative_identity) =>= add c (multiply additive_identity b) [] by Super 3259 with 848 at 2,3
% 7.97/2.32 Id : 3298, {_}: multiply (add b multiplicative_identity) (add additive_identity c) =>= add c (multiply additive_identity b) [] by Demod 3263 with 3 at 2
% 7.97/2.32 Id : 3299, {_}: multiply (add b multiplicative_identity) (add additive_identity c) =>= add c (multiply b additive_identity) [] by Demod 3298 with 54 at 3
% 7.97/2.32 Id : 3300, {_}: multiply (add b multiplicative_identity) c =<= add c (multiply b additive_identity) [] by Demod 3299 with 15 at 2,2
% 7.97/2.32 Id : 3301, {_}: multiply c (add b multiplicative_identity) =<= add c (multiply b additive_identity) [] by Demod 3300 with 3 at 2
% 7.97/2.32 Id : 3302, {_}: c =<= add c (multiply b additive_identity) [] by Demod 3301 with 397 at 2
% 7.97/2.32 Id : 3336, {_}: add (multiply ?4237 (multiply b additive_identity)) c =>= multiply (add ?4237 c) c [4237] by Super 31 with 3302 at 2,3
% 7.97/2.32 Id : 3360, {_}: add c (multiply ?4237 (multiply b additive_identity)) =>= multiply (add ?4237 c) c [4237] by Demod 3336 with 2 at 2
% 7.97/2.32 Id : 3361, {_}: add c (multiply ?4237 (multiply b additive_identity)) =>= multiply c (add ?4237 c) [4237] by Demod 3360 with 3 at 3
% 7.97/2.32 Id : 3338, {_}: add c (multiply ?4241 (multiply b additive_identity)) =>= multiply (add c ?4241) c [4241] by Super 5 with 3302 at 2,3
% 7.97/2.32 Id : 3359, {_}: add c (multiply ?4241 (multiply b additive_identity)) =>= multiply c (add c ?4241) [4241] by Demod 3338 with 3 at 3
% 7.97/2.32 Id : 11273, {_}: add c (multiply ?4241 (multiply b additive_identity)) =>= multiply c (add multiplicative_identity ?4241) [4241] by Demod 3359 with 5952 at 3
% 7.97/2.32 Id : 11384, {_}: multiply c (add multiplicative_identity ?4237) =?= multiply c (add ?4237 c) [4237] by Demod 3361 with 11273 at 2
% 7.97/2.32 Id : 18882, {_}: multiply c multiplicative_identity =<= multiply c (add ?4237 c) [4237] by Demod 11384 with 18760 at 2,2
% 7.97/2.32 Id : 18917, {_}: multiply multiplicative_identity c =<= multiply c (add ?4237 c) [4237] by Demod 18882 with 3 at 2
% 7.97/2.32 Id : 18918, {_}: c =<= multiply c (add ?4237 c) [4237] by Demod 18917 with 13 at 2
% 7.97/2.32 Id : 24004, {_}: add c (inverse c) =<= add (add ?22595 c) (inverse c) [22595] by Super 23956 with 18918 at 1,2
% 7.97/2.32 Id : 25545, {_}: multiplicative_identity =<= add (add ?23832 c) (inverse c) [23832] by Demod 24004 with 8 at 2
% 7.97/2.32 Id : 25546, {_}: multiplicative_identity =<= add (add c ?23834) (inverse c) [23834] by Super 25545 with 2 at 1,3
% 7.97/2.32 Id : 40185, {_}: multiply d multiplicative_identity =<= multiply d (add (inverse c) (inverse d)) [] by Demod 40016 with 25546 at 2,2
% 7.97/2.32 Id : 40186, {_}: multiply d multiplicative_identity =<= multiply d (add (inverse d) (inverse c)) [] by Demod 40185 with 32180 at 3
% 7.97/2.32 Id : 40187, {_}: multiply multiplicative_identity d =<= multiply d (add (inverse d) (inverse c)) [] by Demod 40186 with 3 at 2
% 7.97/2.32 Id : 31989, {_}: add (multiply d ?29787) (inverse c) =>= multiply d (add ?29787 (inverse c)) [29787] by Demod 29414 with 26979 at 2,2,3
% 7.97/2.32 Id : 31991, {_}: add additive_identity (inverse c) =<= multiply d (add (inverse d) (inverse c)) [] by Super 31989 with 10 at 1,2
% 7.97/2.32 Id : 32034, {_}: inverse c =<= multiply d (add (inverse d) (inverse c)) [] by Demod 31991 with 15 at 2
% 7.97/2.32 Id : 40188, {_}: multiply multiplicative_identity d =>= inverse c [] by Demod 40187 with 32034 at 3
% 7.97/2.32 Id : 40189, {_}: d =<= inverse c [] by Demod 40188 with 13 at 2
% 7.97/2.32 Id : 40354, {_}: d === d [] by Demod 1 with 40189 at 2
% 7.97/2.32 Id : 1, {_}: inverse c =>= d [] by prove_c_inverse_is_d
% 7.97/2.32 % SZS output end CNFRefutation for theBenchmark.p
% 7.97/2.32 22519: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.985397 using nrkbo
%------------------------------------------------------------------------------